Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus. Reform: look before you leap - plan all in detail first.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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  1.    wt: 9:   LAMP Lean Applied Mathematics Program/
  2.    wt: 9:   A Origins of Counting and Figuring Methods/
  3.    wt: 9:   10 LCM GCD and Euclid GCD Algorithm/
  4.    wt: 9:   1 Decimal Place Value/
  5.    wt: 8:   Mathematics Education Essays/
  6.    wt: 8:   5 Factored Polynomial Sign Analysis Examples/
  7.    wt: 8:   13 Vectors/
  8.    wt: 8:   B Real Numbers Extrinsic Development/
  9.    wt: 8:   10 Examples of Algebraic Reasoning/
  10.    wt: 8:   8 Unifying Theme For Algebra/
  11.    wt: 8:   3 Solving Linear Equations/
  12.    wt: 8:   13 Lessons on Limits and Continuity/
  13.    wt: 8:   Volume 1A Pattern Based Reason/
  14.    wt: 7:   Mathematics Skills Year by Year/
  15.    wt: 7:   7 Complex Numbers/
  16.    wt: 7:   Geometry maps plans trigonometry vectors/
  17.    wt: 7:   1 Working With Sets/
  18.    wt: 7:   5 Integers/
  19.    wt: 7:   5 Lessons on Integration/
  20.    wt: 7:   Mathematics 506 Lessons/
  21.    wt: 6:   3 Quadratics Geometrically/
  22.    wt: 6:   5 Real Numbers/
  23.    wt: 6:   Arithmetic and Number Theory Skills/
  24.    wt: 6:   4 Lessons on Using Derivatives/
  25.    wt: 6:   Volume 2 Three Skills For Algebra/
  26.    wt: 6:   Volume 1B Mathematics Curriculum Notes/
  27.    wt: 6:   Mathematics Skill Development Framework/
  28.    wt: 5:   Volume 1A Regles et modeles/
  29.    wt: 5:   Algebra Starter Lessons/
  30.    wt: 5:   Skills with take home value/
  31.    wt: 4:   Direct Current Electric Circuits/
  32.    wt: 4:   1 Five Polynomial Operations/
  33.    wt: 4:   70 Calculus Starter Lessons/
  34.    wt: 4:   Advanced Calculus Volume 3 Appendices/
  35.    wt: 4:   Volume 3 Why Slopes A Calculus Intro Etc/
  36.    wt: 4:   Work and Study Tips/
  37.    wt: 3:   francais/
  38.    wt: 3:   Parent Center/
  39.    wt: 3:   Volume 1 Elements of Reason/
  40.    wt: 3:   Quebec Material/
  41.    wt: 2:   4 Functions/
  42.    wt: 2:   Resources and Reciprocal Links/
  43.    wt: 21:   B Decimal Comparing and Subtracting Methods/
  44.    wt: 1:   Archives/
  45.    wt: 1:   More Algebra/
  46.    wt: 19:   A Decimal Counting and Adding Methods/
  47.    wt: 18:   C Decimal Multiplication Methods/
  48.    wt: 16:   12 Function Translating and Rescaling/
  49.    wt: 16:   11 Parallel Straight Lines and Transversals/
  50.    wt: 16:   10 Intersecting Straight Lines and Transversals/
  51.    wt: 16:   9 Lines and Slopes Take 2 with tangent function/
  52.    wt: 16:   2 Euclidean Geometry Constructions Theory extras/
  53.    wt: 16:   D Decimal Long Division Methods/
  54.    wt: 15:   Step 1 Stick diagram and fractions/
  55.    wt: 14:   14 Degrees to Radians and Radians to Degrees/
  56.    wt: 14:   3 Cartesian and Polar Coordinates/
  57.    wt: 14:   6 More Less Greater Than Inequalities and Comparison/
  58.    wt: 14:   Step 2 Algebraic solutions for one unknown/
  59.    wt: 14:   7 Arithmetic and Fractions with Units/
  60.    wt: 13:   9 Proportionality Backwards and Forwards/
  61.    wt: 13:   4 Computation Rules and Function Notation/
  62.    wt: 13:   Step 4 Gaussian Elimination/
  63.    wt: 13:   2 Formula Forward Use Evaluation/
  64.    wt: 13:   9 Combinatorics Trees Tables and Products/
  65.    wt: 13:   4 Remainder Arithmetic and Divisibility/
  66.    wt: 13:   2 Arithmetic with Decimals/
  67.    wt: 12:   Progressive Observable Motivated Mathematics Education/
  68.    wt: 12:   6 Trigonometry first steps/
  69.    wt: 12:   1 Maps Plans Measurement/
  70.    wt: 12:   Step 3 Easy systems in 2 or more unknowns/
  71.    wt: 12:   PreSchool and Primary Mathematics or Quantitative Skills/
  72.    wt: 11:   2 Natural Logarithms Exponentials Powers Roots/
  73.    wt: 11:   15 Arc or Inverse Trigonometric Function/
  74.    wt: 11:   5 What is Similarity/
  75.    wt: 11:   7 Axioms Logic and Equivalent Equations/
  76.    wt: 11:   12 Comparison of Unsigned and Signed Numbers/
  77.    wt: 11:   6 Fractions and Ratios/
  78.    wt: 11:   3 Prime Factorization Skills/
  79.    wt: 11:   Time Date Matters/
  80.    wt: 11:   12 Webvideo Lessons on Area and Volume Calculation/
  81.    wt: 11:   Secondary Mathematics A Practical Approach/
  82.    wt: 10:   8 Unit Circle Trigonometry/
  83.    wt: 10:   4 Lines and Slopes Take 1/
  84.    wt: 10:   11 Squares and Square Roots/
  85.    wt: 10:   8 Arithmetic with Signed Numbers/
  86.    wt: 10:   38 Lessons on Calculating Derivatives/

Web Page Search

1134 matches:

  1.    wt: 9:   Math Ed if it must be short make it lean effective
  2.    wt: 9:   three goals for Mathematics Education
  3.    wt: 9:   three aims for mathematics students
  4.    wt: 9:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  5.    wt: 9:   2 Conductance Resistance Duality02
  6.    wt: 9:   27 Graduated Correction and Penalties for Young Offenders
  7.    wt: 9:   25 Mathematics Education Leaving A Good Impression
  8.    wt: 9:   22 Student Centered Highschool Mathematics
  9.    wt: 9:   12 Goals and Objectives For Mathematics
  10.    wt: 9:   4 Function notation in and beyond mathematics
  11.    wt: 9:   7 Formulas for Roots with Logarithms Derivation
  12.    wt: 9:   5 Natural Logarithm Calculator Exercises
  13.    wt: 9:   6 Polynomial Operations and Equivalent Computation Rules
  14.    wt: 9:   12 motivation for term arctan
  15.    wt: 9:   4 Circle Sector Area proportional to Central Angle
  16.    wt: 9:   Proportionality of Line Segments From Parallel Transversals
  17.    wt: 9:   Analytic View of Triangle Construction or Line Instersection More
  18.    wt: 9:   22 sine of 22.5 degrees via half angle formulas
  19.    wt: 9:   12 cis formulas for sine cosines and tangent
  20.    wt: 9:   4 Trigonometric Ratios For Two Special Triangles
  21.    wt: 9:   10 Similarity of Triangles Equivalent of Two Criteria
  22.    wt: 9:   10 Pythagorean plane distance formula
  23.    wt: 9:   PS G Rotation Distributes over Addition
  24.    wt: 9:   PS D Addition with Cartesian Coordinates
  25.    wt: 9:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  26.    wt: 9:   14 Vector Head to Tail Sums and Resultants
  27.    wt: 9:   8 Pythagorean Relation Forwards Backwards
  28.    wt: 9:   4 Rectangle Area and Like Formulas Backwards
  29.    wt: 9:   9 Sets in Probability and Statistics
  30.    wt: 9:   2 Least Common Multiple LCM intro via list method
  31.    wt: 9:   8 Numerals Fractionals Quantals Take II
  32.    wt: 9:   A Associative Law Theorectical Note
  33.    wt: 9:   7 Subtraction for Decimal Fractions with Exercises
  34.    wt: 9:   3 Harder Cases Convert to Compare and Subtract
  35.    wt: 9:   1 Comparison and Subtraction Easy Direct Cases
  36.    wt: 9:   2 Groups of Three Place Value for Multidigit Decimals
  37.    wt: 9:   9 Comparison and Subtraction of Time Intervals
  38.    wt: 9:   8 Addition of Time Intervals via subtotaling
  39.    wt: 9:   3 Motivation for Limit Definition Take 2
  40.    wt: 9:   2 Motivation for Limit Definition Take 1
  41.    wt: 9:   7 Evaluation by immediate or delayed substitution
  42.    wt: 9:   G.2 Lipshitz Conditions Integration Calculus Reform
  43.    wt: 9:   PostScript For and Against Decimal Perspectives
  44.    wt: 9:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  45.    wt: 9:   Postscript Pythagorean Theorem yet another proof
  46.    wt: 9:   Chapter 26 What is in chapters 27 to 31
  47.    wt: 9:   Chapter 9 Talking about Numbers or Quantities
  48.    wt: 9:   Chapter 1 Introduction to Chapters 2 to 6
  49.    wt: 9:   Postscript C Consistency as a Tool for Reason
  50.    wt: 9:   Chapter 19 What is in chapters 20 to 24
  51.    wt: 9:   Chapter 14 Deductive and Empirical Views of Mathematics
  52.    wt: 9:   Chapter 4 Implication Rules Forwards and Backwards
  53.    wt: 9:   P Exact Arithmetic With Whole Numbers and Fractions
  54.    wt: 9:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  55.    wt: 9:   6 Measuring via counting or arithmetic the role of fractions
  56.    wt: 9:   2 Identifying Size and Position Place and Spatial Sense
  57.    wt: 8:   Applied Maths Program14092009 POMME variant
  58.    wt: 8:   02 20 mathematics education references
  59.    wt: 8:   Education in mathematics science and technology
  60.    wt: 8:   B Wire Resistance Qualitative02
  61.    wt: 8:   A Wire Resistance Qualitative01
  62.    wt: 8:   24 Standards For Skill Develoment Take II
  63.    wt: 8:   Ages 12 to 14 Skills with take home value
  64.    wt: 8:   17 Function maxima minima and their location
  65.    wt: 8:   9 quadratics physical and further context
  66.    wt: 8:   8 quadratics backward use of various formulas
  67.    wt: 8:   9 Formulas for Real Exponents with Logarithms
  68.    wt: 8:   6 Formulas for Even and Odd Roots with Logarithms
  69.    wt: 8:   11 arctan left inverse of tangent Graph
  70.    wt: 8:   10 arctan left inverse of tangent Definition
  71.    wt: 8:   Parallel Lines and Parallel Transversals
  72.    wt: 8:   Parallel Lines and Alternating Corresponding Angles
  73.    wt: 8:   Straight Lines ASA Intersection Study More
  74.    wt: 8:   Straight Lines ASA Intersection Study
  75.    wt: 8:   8 Straight Lines Equation for vertical
  76.    wt: 8:   7 Tangent Function is odd on this domain
  77.    wt: 8:   25 tangent double angle formula Slope connection
  78.    wt: 8:   19 Pythagorean Identity For sine and cosine functions
  79.    wt: 8:   17D cis formulas for sine cosines and tangent
  80.    wt: 8:   16 Right Triangle Complementary Angle Relations
  81.    wt: 8:   11 tangent function undefined when terminal side vertical
  82.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  83.    wt: 8:   7 Exercises to test skill and concept mastery
  84.    wt: 8:   6 Polar Multiplication and Rotation
  85.    wt: 8:   PS E Multiplication with Polar Coordinates
  86.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  87.    wt: 8:   3 Lengths and Areas on Maps and Plans
  88.    wt: 8:   25 Mid way Convergence to Axiomatic Approach
  89.    wt: 8:   23 Distributive Law Two Derivations
  90.    wt: 8:   17 Arrows Rotate to Reverse with Length Unchanged
  91.    wt: 8:   4 Fraction Operations Axiomatic Development
  92.    wt: 8:   4 Rates Ratios and Proporitionality
  93.    wt: 8:   5 Triangle Area Formula Backwards
  94.    wt: 8:   2 Addition and Multiplication Axioms
  95.    wt: 8:   2 More and Less Than for Counts and Measures
  96.    wt: 8:   3 Geometric Formulas and Function Notation
  97.    wt: 8:   3 GE III Equation Addition and Multiplication
  98.    wt: 8:   6 Pythagorean Hypotenuse Calculation Example
  99.    wt: 8:   5 Talking about Numbers and Quantities
  100.    wt: 8:   arithmetic videos Real Player Format
  101.    wt: 8:   5 Counting with Tables Trees Product Rule Take II
  102.    wt: 8:   5 Reciprocals and Division for Fractions with Units
  103.    wt: 8:   1 Addition and Subtraction with Units
  104.    wt: 8:   17 Efficient Ways to Add and Subtract
  105.    wt: 8:   16 Addition Subtraction Comparision Compared
  106.    wt: 8:   15 Adding and Subtracting with Unlike Denominators
  107.    wt: 8:   14 Adding and Subtracting with Like Denominators
  108.    wt: 8:   A Decimals Modular and Remainder Arithmetic
  109.    wt: 8:   25 Divisibility Tests for 2 3 5 9 10 Example
  110.    wt: 8:   7 Calculator Usage Notes and Cautions
  111.    wt: 8:   Long Division forwards and backwards Example 2
  112.    wt: 8:   6 Multiplication Commutes Order Not Important
  113.    wt: 8:   Appendix 2 Three Decimal Subtraction Methods
  114.    wt: 8:   Exact Arithmetic Wholes and Fractions
  115.    wt: 8:   012 Division of Time Intervals by Time Intervals
  116.    wt: 8:   2 Time and Date Matters in School
  117.    wt: 8:   38 Formulas and derivatives for powers and roots
  118.    wt: 8:   Postscript One Sided and Intermediate Value Theorems
  119.    wt: 8:   Chapter 24 Logarithms Powers and Exponentials
  120.    wt: 8:   Appendix E. How To Study Mathematics and Why
  121.    wt: 8:   Chapter 7 Prep for Calculus Arithmetic Exercises
  122.    wt: 8:   Annotated Links to Material Elsehwere
  123.    wt: 8:   Postscript B Mathematics Education References
  124.    wt: 8:   Chapter 7 Two Treatments of Geometry
  125.    wt: 8:   Chapter 6 Rule Based Reason in Mathematics
  126.    wt: 8:   Chapter 17 Objective Ways Trial and Error Discovery
  127.    wt: 8:   Chapter 11 Accidental Patterns
  128.    wt: 8:   F. The student teacher tutor feedback loop
  129.    wt: 8:   Chapter 4 Logic for Reading Writing and Geometry etc
  130.    wt: 8:   7 Games and Activities for Instruction
  131.    wt: 8:   5 Interpreting and Drawing Maps and Plans.
  132.    wt: 8:   3 Telling Tracking Time Temporal and More Place Sense
  133.    wt: 8:   1 From Number Recognition and Counting to Arithmetic A
  134.    wt: 8:   Multiple Ways to Improve Mathematics Skill Development
  135.    wt: 8:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  136.    wt: 8:   Talking pdf files for online lessons a webvideo alternative
  137.    wt: 8:   The Math Forum and Site Content
  138.    wt: 7:   Appendix 1 primary and preschool mathematic
  139.    wt: 7:   H LAMP Introduction Instructional Concepts
  140.    wt: 7:   E LAMP Introduction Modern Mathematics
  141.    wt: 7:   B LAMP Introduction Curriculum Development Standards
  142.    wt: 7:   three goals to set for students
  143.    wt: 7:   04 25 when to stop or suspend mathemat
  144.    wt: 7:   standards for course material
  145.    wt: 7:   mathematics instruction in general
  146.    wt: 7:   words for mathematics instructor
  147.    wt: 7:   chapitre 07 01 principle D induction mathematique
  148.    wt: 7:   1 Conductance Resistance Duality01
  149.    wt: 7:   D Wire Resistance Calculation02
  150.    wt: 7:   C Electromotive force conventional current02
  151.    wt: 7:   19 Extending the Oral Dimension of Mathematics
  152.    wt: 7:   17 Math Booklets for children and young teenagers
  153.    wt: 7:   16 Secondary Mathematics Tips
  154.    wt: 7:   14 Multiplication and Times Tables
  155.    wt: 7:   13 Addition and Addition Tables
  156.    wt: 7:   4 Learning Takes Time and Effort
  157.    wt: 7:   sign monoticity analysis example 2
  158.    wt: 7:   24 Monotoncity Injectivity and Inverse Functions
  159.    wt: 7:   22 Square Root function graphically
  160.    wt: 7:   20 Interchanging coordinates a reflection
  161.    wt: 7:   11 Function Domain Range Source and Targets
  162.    wt: 7:   1 Geometric Introduction of Function Notation
  163.    wt: 7:   7 quadratic formulla derivation
  164.    wt: 7:   1 Calculator Starter Exercises
  165.    wt: 7:   16 cotangent function Definition Graph and Inverse
  166.    wt: 7:   3 Circle Arclengh Proportional to Central Angle
  167.    wt: 7:   A Global Time and Navigation
  168.    wt: 7:   12 From Applied To Pure Mathematics
  169.    wt: 7:   5 Head To Tail Arrow Addition
  170.    wt: 7:   Straight Lines Instersection Solving Equations
  171.    wt: 7:   14 Straight Lines Equations General Case
  172.    wt: 7:   13 Straight Lines Finding Equations from 2 points
  173.    wt: 7:   17 tangent function angle sum formulas
  174.    wt: 7:   30 unit circle calculation of six trigonometric functions
  175.    wt: 7:   24 tangent Angle Difference Formula
  176.    wt: 7:   17E Trig Formulas for dot and cross Products
  177.    wt: 7:   12 Graph of tangent function for one period
  178.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  179.    wt: 7:   13 Trig Formulas for dot and cross Products
  180.    wt: 7:   5 An Easy Proof of the Distributive Law
  181.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  182.    wt: 7:   9 Similarity of Triangles Usual Criteria
  183.    wt: 7:   2 Cartesian Coordinates with signs
  184.    wt: 7:   PS B Parallelogram Construction Methods
  185.    wt: 7:   4 Angles on Maps Plans drawn to scale
  186.    wt: 7:   A Modular and Remainder Arithmetic
  187.    wt: 7:   26 More Less Greater Than Comparison
  188.    wt: 7:   9 Division with Digits after Decimal Point
  189.    wt: 7:   7 Arithmetic with Infinite Decimal Expansions
  190.    wt: 7:   3 Location of Point in Decimal Multiplication
  191.    wt: 7:   2 Counting Digits in Decimal Multiplication
  192.    wt: 7:   B Decimal Comparison and Subtraction
  193.    wt: 7:   4 Commutative Law Groups Counting Form
  194.    wt: 7:   2 Fraction Operations Physical Development
  195.    wt: 7:   1 Decimals Modular and Remainder Arithmetic
  196.    wt: 7:   5 Proportionality in Equivalent Fractions
  197.    wt: 7:   6 Compound Interest Forward and Backwards
  198.    wt: 7:   2 Linear Equation Literal Solution
  199.    wt: 7:   8 Coordinates for Maps and Planes
  200.    wt: 7:   2 Computation Rules Evaluation
  201.    wt: 7:   1 Formulas Dependence and Function Notation
  202.    wt: 7:   5 Gaussian Elimination for 3 unknowns 2nd example
  203.    wt: 7:   2 Essentially one exercises three with solution
  204.    wt: 7:   Using Letters for Physical Quantities
  205.    wt: 7:   8 Compound Interest Formula Evaluation
  206.    wt: 7:   3 Triangle Area Formula Example
  207.    wt: 7:   1 Written work formats for developing and showing skill
  208.    wt: 7:   1 More and Less Than for Counts and Measures
  209.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  210.    wt: 7:   2 Counting with Tables and Trees I
  211.    wt: 7:   3 signed coordinates for maps and planes
  212.    wt: 7:   B Fractions and Two Term Ratios
  213.    wt: 7:   7 Numerals Fractionals Quantals
  214.    wt: 7:   6 Multiplication Algebraically Take II
  215.    wt: 7:   2 Unit Fraction Multiplication
  216.    wt: 7:   1 What is a fraction Take II
  217.    wt: 7:   24 Divisibility Tests for 2 3 5 9 10
  218.    wt: 7:   18 video Count Factors given Prime Factorization
  219.    wt: 7:   15 video Factors of 20 using Prime Factorization
  220.    wt: 7:   10 video Prime Factorization upto 23 squared
  221.    wt: 7:   5 Prime Factorization and a Square Rule
  222.    wt: 7:   Long Division forwards and backwards Example 3
  223.    wt: 7:   Long Division forwards and backwards Example 1
  224.    wt: 7:   Video Decimal Multiplication Geometric View Example 2
  225.    wt: 7:   Video Decimal Multiplication Geometric View Example 2
  226.    wt: 7:   Appendix 1 Decimals Comparison Method Take II
  227.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  228.    wt: 7:   5 A Tip for Efficent Subtraction
  229.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  230.    wt: 7:   2 Subtraction Easy Case Examples
  231.    wt: 7:   The 12 Times Table Visually
  232.    wt: 7:   010 Repeated Addition of Time Intervals
  233.    wt: 7:   4 Definite Integrals Evaluation Exercises
  234.    wt: 7:   1 Two cubic sketching exercises with 1st derivative
  235.    wt: 7:   28 Chain Rule Preparation for a Proof
  236.    wt: 7:   25 Chain Rule Animated Examples Continued
  237.    wt: 7:   7 Animated Differentiation Examples
  238.    wt: 7:   G.2 Differentiable Functions Mean Value Theorem
  239.    wt: 7:   Chapter 18. Slopes Areas Integration
  240.    wt: 7:   Chapter 17. Area Approximation
  241.    wt: 7:   Chapter 15. Algebraic Evaluation of Limits
  242.    wt: 7:   Postscript For Better Performance
  243.    wt: 7:   Chapter 24. Personal Investment and Pension EGS
  244.    wt: 7:   Chapter 23. Notation For Sums
  245.    wt: 7:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  246.    wt: 7:   Postscript Unifying Theme A Fourth Skill For Algebra
  247.    wt: 7:   Chapter 10 Describing and Changing Calculations
  248.    wt: 7:   Chapter 24 Direct and Indirect Reason
  249.    wt: 7:   Chapter 23 Truth Tables
  250.    wt: 7:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  251.    wt: 7:   Chapter 12 Islands and Divisions of Knowledge
  252.    wt: 7:   Chapter 9 What is in Chapters 10 to 18
  253.    wt: 7:   Chapter 3 What is in chapters 4 to 8
  254.    wt: 7:   N Mathematics Prepare for College Studies
  255.    wt: 7:   G. Written work formats for developing and showing skill
  256.    wt: 7:   4 Money Matters Saving Earning Buying Selling and Budgets
  257.    wt: 7:   1 From Number Recognition and Counting to Arithmetic B
  258.    wt: 6:   Appendix 2 primary school Arithmetic 01
  259.    wt: 6:   I LAMP Introduction Study Habits
  260.    wt: 6:   Skills Chapter 1 Arithmetic
  261.    wt: 6:   5 logarithms and exponentials etc
  262.    wt: 6:   Teach the teachers plus goals
  263.    wt: 6:   activities for students
  264.    wt: 6:   Mathematics Education Professors
  265.    wt: 6:   grouping students according to ability
  266.    wt: 6:   mathematics in context
  267.    wt: 6:   Secondary Three Mathematics
  268.    wt: 6:   Secondary Two Mathematics
  269.    wt: 6:   talk the algebra talk
  270.    wt: 6:   teaching tutoring algebraic reason
  271.    wt: 6:   Operational Viewpoint to Value
  272.    wt: 6:   three kinds of reason in mathematics
  273.    wt: 6:   How to be a better instructor
  274.    wt: 6:   Motivation and Context Problem
  275.    wt: 6:   need for a mixed mathematics curriculum
  276.    wt: 6:   education an empirical art
  277.    wt: 6:   fairness and inductive principles for instruction
  278.    wt: 6:   chapitre 07 00 Des chaines plus longues de la raison
  279.    wt: 6:   chapitre 06 00 Chaines de la raison
  280.    wt: 6:   chapitre 04 10 Etapes pour une meilleur raison
  281.    wt: 6:   chapitre 04 08 Limitations et benefices
  282.    wt: 6:   chapitre 04 07 RepetablesEtReproductibles
  283.    wt: 6:   chapitre 03 A Propos Des Prochains Chapitre
  284.    wt: 6:   chapitre 02 00 La Communication des idees
  285.    wt: 6:   Trois Notions qui menent a algebre
  286.    wt: 6:   F Wire Resistance Calculation04
  287.    wt: 6:   E Wire Resistance Calculation03
  288.    wt: 6:   C Wire Resistance Calculation01
  289.    wt: 6:   B Electromotive force conventional current01
  290.    wt: 6:   24 Standards For Skill Develoment
  291.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take IV
  292.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take III
  293.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take II
  294.    wt: 6:   9 Streaming by Student Cooperation
  295.    wt: 6:   6 Discipline Who is in Charge Conserving Authority
  296.    wt: 6:   5 Patience Please for Yourself and Your Charges
  297.    wt: 6:   Ages 12 to 14 Arithmetic
  298.    wt: 6:   Ages 10 to 12 Arithmetic
  299.    wt: 6:   sign monoticity analysis example 4
  300.    wt: 6:   sign monoticity analysis example 3
  301.    wt: 6:   sign monoticity analysis example 1
  302.    wt: 6:   21 Graphs of functions given by Horizontal Line Method
  303.    wt: 6:   2 Algebraic use of function notation
  304.    wt: 6:   6 quadratics numerical approach
  305.    wt: 6:   5 quadratics completing the square
  306.    wt: 6:   3 quadratics factoring by inspection
  307.    wt: 6:   2 quadratics graphing in general
  308.    wt: 6:   2 Square Root Simplification a prequel
  309.    wt: 6:   8 Notes for instructors or tutors
  310.    wt: 6:   3 Polynomials Multiplication Addition
  311.    wt: 6:   15 cosecant function Definition Graph and Inverse
  312.    wt: 6:   14 secant function Definition Graph and Inverse
  313.    wt: 6:   13 cosecant function Definition Graph and Inverse
  314.    wt: 6:   9 motivation for name arcsin
  315.    wt: 6:   5 Swapping Coordinates is a reflection
  316.    wt: 6:   4 possible motivation for term arccos
  317.    wt: 6:   9 Summary Degrees to Radians and back
  318.    wt: 6:   7 Radian Measures in special Triangles
  319.    wt: 6:   2 Radian Measure Numerical Value of one degree
  320.    wt: 6:   10 Parallelogram Addition Method
  321.    wt: 6:   9 Head to Tail Coordinate View
  322.    wt: 6:   3 Navigation with Arrows or Vectors
  323.    wt: 6:   2 Graphing y=Af(x) Vertical Scaling
  324.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  325.    wt: 6:   A Straight Line Slope Scaling Properties
  326.    wt: 6:   10 Straight Lines through Origin Equations More
  327.    wt: 6:   9 Straight Lines through Origin Equations
  328.    wt: 6:   2 Straight Lines Slopes As Rise Over Run
  329.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  330.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  331.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  332.    wt: 6:   26 Formulas for products of sines and cosines
  333.    wt: 6:   21 sine and cosine Half Angle Formulas
  334.    wt: 6:   17A The complex number valued trig function cis
  335.    wt: 6:   14 cosine even and sine and tangent are odd
  336.    wt: 6:   13 Graph of tangent function many periods
  337.    wt: 6:   1 Unit Points Reflections Rotations
  338.    wt: 6:   21 Logarithms Powers and Exponentials
  339.    wt: 6:   7 Second Way to Calculate Products
  340.    wt: 6:   1 Rectangular Polar Coordinates Review
  341.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  342.    wt: 6:   4 Similarity Definition with Coordinate
  343.    wt: 6:   2 point slope equation for a line
  344.    wt: 6:   12 Spatial Coordinates
  345.    wt: 6:   8 Distance Between Points on a Line
  346.    wt: 6:   1 Cartesian Coordinates sans signs
  347.    wt: 6:   PS H Distributive Law For Complex Numbers
  348.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  349.    wt: 6:   PS A Kite Construction Methods
  350.    wt: 6:   18 Triangle Similarity Take 1
  351.    wt: 6:   9 Construction of a right bisector
  352.    wt: 6:   8 More Use of Maps Not Drawn to Scale
  353.    wt: 6:   6 Figuring with Maps Not to Scale
  354.    wt: 6:   21 Addition of Multiples of a Single Vector
  355.    wt: 6:   18 Geometrically Why Vector Addition Commutes
  356.    wt: 6:   11 Signed Number Addition and Addition Properties
  357.    wt: 6:   8 Division and Mulplication of Compound Fractions
  358.    wt: 6:   5 Fractions with Infinite Decimal Expansions
  359.    wt: 6:   4 Location of Point in Decimal Addition
  360.    wt: 6:   1 Fractions with Finite Decimal Expansions
  361.    wt: 6:   C Three Decimal Subtraction Methods
  362.    wt: 6:   7 Decimals Multiplication Methods Examples
  363.    wt: 6:   6 Column Methods for Decimal Multiplication
  364.    wt: 6:   2 Combing Counts Addition Skills and Principles
  365.    wt: 6:   5 Areas of Rectangles Revisited
  366.    wt: 6:   3 Linear Equation Literal Solution More
  367.    wt: 6:   6 Equations and Systems Equivalent or Implied
  368.    wt: 6:   4 Subtraction and Division Axioms
  369.    wt: 6:   12 Real Number Additive Inverses or Negatives
  370.    wt: 6:   3 Gaussian Elimination 3 unknowns first example
  371.    wt: 6:   4 Solving a triangular system exercise
  372.    wt: 6:   Formula Usage Show Work Format
  373.    wt: 6:   7 Compound Interest Formula Introduction
  374.    wt: 6:   10 Set View of Wordy Extensions To Arithmetic
  375.    wt: 6:   7 Cautious or Safe Set Construction
  376.    wt: 6:   6 Three Notions of What is a Variable
  377.    wt: 6:   1 Squares and Square Roots Introduction
  378.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  379.    wt: 6:   4 Counting with Trees Product Rule Take I
  380.    wt: 6:   3 Counting with Tables and Trees II
  381.    wt: 6:   6 Simplification of Fractions with Units
  382.    wt: 6:   21 Reciprocals for Fractions and Wholes
  383.    wt: 6:   10 Simplification of Fractions and Mixed Numerals
  384.    wt: 6:   3 Unit fraction of a fraction
  385.    wt: 6:   13 Subtraction with Additive Inverse
  386.    wt: 6:   11 Adding Integers Formulas and Examples
  387.    wt: 6:   10 Integer Multiplication Formulas
  388.    wt: 6:   6 Multiplication by Natural Numbers
  389.    wt: 6:   2 Integers Multiplies of a Unit Moverment
  390.    wt: 6:   23 Remainder Arithmetic Modulo 2
  391.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  392.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  393.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  394.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  395.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  396.    wt: 6:   9 video Prime Factorization upto 19 squared
  397.    wt: 6:   4 video Prime Factorization Introduction
  398.    wt: 6:   1 video how Products are bigger than factor
  399.    wt: 6:   7 Long Divison Mistake Catching
  400.    wt: 6:   5 Decimal Fraction Multiplication
  401.    wt: 6:   9 22 Minute Subtraction Review Video
  402.    wt: 6:   8 Subtraction with Units of Measure
  403.    wt: 6:   8 What skills and work habits to require
  404.    wt: 6:   7 Adding decimal fractions using decimal point
  405.    wt: 6:   6. Counting and adding units and mixed units
  406.    wt: 6:   3. How to add with decimals A sans conversions
  407.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  408.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  409.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  410.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  411.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  412.    wt: 6:   Formula Evaluation how to show work
  413.    wt: 6:   1 Intro of Kids To Time Date Skills
  414.    wt: 6:   Example 1. Area Between x and x squared
  415.    wt: 6:   Area Between Crossing Curves Lesson Take 2
  416.    wt: 6:   Area Between Curves Lesson Take 2
  417.    wt: 6:   A Related Material in Volume 3
  418.    wt: 6:   4 Second derivative test exercise example
  419.    wt: 6:   36 Cube root derivative animated
  420.    wt: 6:   24 Chain Rule Animated Examples
  421.    wt: 6:   11 Limits at infinity Three Examples
  422.    wt: 6:   6 Continuity at a point
  423.    wt: 6:   3 Decimal insights for limits continuity convergence
  424.    wt: 6:   G.1 First Fundamental Theorem of Calculus
  425.    wt: 6:   G.6 Bounded Derivatives implies Lipshitz Continuity
  426.    wt: 6:   G.4 Lipschitz Continuity implies EquiContinuity
  427.    wt: 6:   Chapter 23 Links To Trigonometry
  428.    wt: 6:   Chapter 21 Arrow Addition
  429.    wt: 6:   Chapter 16. Velocity Approximation
  430.    wt: 6:   Chapter 9 About First Courses in Calculus
  431.    wt: 6:   Chapter 8. Slope Interpretation
  432.    wt: 6:   Chapter 6. Slopes and Vertical Shifts
  433.    wt: 6:   Chapter 2. Slopes and Ski Trails
  434.    wt: 6:   Postscript More on Better Performance
  435.    wt: 6:   Appendix A. Reading Guide For Next Appendices
  436.    wt: 6:   Chapter 31 Direct and Indirect Reason
  437.    wt: 6:   Chapter 30 Truth Tables
  438.    wt: 6:   Chapter 27 Shorthand Symbols as Pronouns
  439.    wt: 6:   Chapter 22. Geometric Sums and Sequences
  440.    wt: 6:   Chapter 20. Degrees and Radians
  441.    wt: 6:   Chapter 12. Shorthand Usage Guide
  442.    wt: 6:   Postscript What is a Variable
  443.    wt: 6:   Chapter 8 Three Skills For Algebra
  444.    wt: 6:   Solutions For Arithmetic Exercises
  445.    wt: 6:   Chapter 5 Islands and Divisions of Knowledge
  446.    wt: 6:   Chapter 11 Elementary Instruction
  447.    wt: 6:   Postscript B More on Story Telling and Reason
  448.    wt: 6:   Chapter 20 Shorthand Symbols as Pronouns
  449.    wt: 6:   R Why Learn Mathematics Skills
  450.    wt: 6:   O On Learning Mathematics and Science
  451.    wt: 6:   D. Check work a must with a caution
  452.    wt: 6:   Appendix A Calculus with Proofs for Keen or Gifted
  453.    wt: 6:   Chapter 7 Calculus Previews and Calculus Lightly
  454.    wt: 6:   Chapter 3 Algebra Starter Lessons
  455.    wt: 6:   Helping the Blind in Logic and Mathematics
  456.    wt: 6:   Mathematics Education References
  457.    wt: 6:   Mathematics Education References
  458.    wt: 6:   Systematic Algebra Skill Development Missing Links
  459.    wt: 5:   F LAMP Introduction Prerequisites
  460.    wt: 5:   Ramblings Introduction Algebra Essay
  461.    wt: 5:   Skills Chapter 2 Geometry
  462.    wt: 5:   Skills Chapter 0 Introduction
  463.    wt: 5:   10 statistics
  464.    wt: 5:   9 combinatorics probability sets
  465.    wt: 5:   8 analytic geometry etc
  466.    wt: 5:   7 logic review and decimals an odd combination
  467.    wt: 5:   2 arithmetic with signed numbers
  468.    wt: 5:   teacher certification
  469.    wt: 5:   Education Reform Inconsistencies
  470.    wt: 5:   Secondary One Mathematics
  471.    wt: 5:   What to Tell Students
  472.    wt: 5:   mathematics curriculum shifts
  473.    wt: 5:   geometric implications for algebra
  474.    wt: 5:   04 29 New Mathematics Curriculum
  475.    wt: 5:   02 21 words for teachers
  476.    wt: 5:   Four ways to improve education reform
  477.    wt: 5:   Leaner mathematics curriculum
  478.    wt: 5:   chapitre 12 00 les iles et division
  479.    wt: 5:   chapitre 04 05 Implication versus suggestion
  480.    wt: 5:   problemes algebre et arithmetique
  481.    wt: 5:   2 Unlike resistors in parallel01
  482.    wt: 5:   18 Primary School Mathematics
  483.    wt: 5:   10 Ends values for work study instruction
  484.    wt: 5:   8 The Effect of Negative Remarks
  485.    wt: 5:   7 Student Motivation
  486.    wt: 5:   2 Reading and Writing Skills
  487.    wt: 5:   12 Function Domain Recognition Exercises
  488.    wt: 5:   10 Interval Notation
  489.    wt: 5:   9 Set theory term relation possible origins
  490.    wt: 5:   8 Set view of relations and functions
  491.    wt: 5:   3 Formula or function graphing exercise
  492.    wt: 5:   A Quadratics Summary
  493.    wt: 5:   4 quadratics difference of two squares
  494.    wt: 5:   1 quadratics graphing exercises
  495.    wt: 5:   Quadratics in 10 steps
  496.    wt: 5:   10 Exponential Growth and Decay Models
  497.    wt: 5:   2 Column Multiplication Method
  498.    wt: 5:   1 Polynomials Distributive Law
  499.    wt: 5:   1 Degrees and Radians Introduction
  500.    wt: 5:   4 Resultant of a Sum of Movements
  501.    wt: 5:   Parallel Lines and Interior Angles
  502.    wt: 5:   Straight Lines Intersection of
  503.    wt: 5:   C Straight Lines Slope from Coordinates
  504.    wt: 5:   B Straight Line Slope Scaling Properties More
  505.    wt: 5:   12 Straight Lines Graphing mx plus b
  506.    wt: 5:   5 Tangent Function Graph
  507.    wt: 5:   4 Tangent Function Properties
  508.    wt: 5:   32 seven rows of pascals triangle
  509.    wt: 5:   27 Logarithmic use of products of sines and cosines
  510.    wt: 5:   20 sine and cosine Double Angle Formulas
  511.    wt: 5:   18 sum of sinusoidal waves as a single wave
  512.    wt: 5:   17C sine and cosine double triple angle formulas
  513.    wt: 5:   17B sine cosine Angle Sum Formulas via cis
  514.    wt: 5:   15 sine cosine Complementary Angle Relations
  515.    wt: 5:   2 Quadrant I reference Angles
  516.    wt: 5:   11 sine and cosine double triple angle formulas
  517.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  518.    wt: 5:   9 The complex number valued trig function cis
  519.    wt: 5:   Appetizer A Complex Number Applet
  520.    wt: 5:   7 Trignometric Ratios Unit Circle
  521.    wt: 5:   6 Trigonometry Sines of Supplementary Angles
  522.    wt: 5:   3 Trigonometric Ratios sine and cosine
  523.    wt: 5:   12 Triangles Similarity More Problems
  524.    wt: 5:   11 Triangle Similarity Missing Side Problem
  525.    wt: 5:   8 Similarity of Triangles and Polygons
  526.    wt: 5:   3 Similarity by Design with coordinates
  527.    wt: 5:   11 A Partial Summary
  528.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  529.    wt: 5:   4 Equations for lines three forms
  530.    wt: 5:   1 Numerical view of lines and their equations
  531.    wt: 5:   What is and is not here
  532.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  533.    wt: 5:   4 Polar Coordinates to and from
  534.    wt: 5:   3 Rectangular Coordinates Review
  535.    wt: 5:   19 Right Triangle Similarity
  536.    wt: 5:   17 Right Bisectors of Triangle Sides
  537.    wt: 5:   16 Angles Subtended By Chords and Diameters
  538.    wt: 5:   14 Parallel Lines Postulate
  539.    wt: 5:   11 Triangle Construction Fails
  540.    wt: 5:   6 Ruler and compass Angle Bisection
  541.    wt: 5:   1 Initial Concepts and Terms
  542.    wt: 5:   2 Measuring Area Directly
  543.    wt: 5:   24 Signed Numbers Arithmmetic Properties
  544.    wt: 5:   22 Multiplication of Signed Numbers
  545.    wt: 5:   16 Collinear Horizontal Arrows Vectors
  546.    wt: 5:   13 Arrows and Vectors in a Plane
  547.    wt: 5:   A Decimal Addition Columm Methods
  548.    wt: 5:   8 Column Multiplication Methods in General
  549.    wt: 5:   5 Distributive Law for Whole Numbers
  550.    wt: 5:   3 Multiplicative Counting Skills Principles
  551.    wt: 5:   1 What is Proportionality
  552.    wt: 5:   7 Pythagorean Theorem Chinese Square Proof
  553.    wt: 5:   1 Equivalent Computation Rules
  554.    wt: 5:   5 Greater More Less Than Signs in General
  555.    wt: 5:   3 Solving triangular system example
  556.    wt: 5:   4 Four Examples Fractional Coefficients
  557.    wt: 5:   13 Naming Identifying Formulas with Words
  558.    wt: 5:   4 Circle Area Formula Example
  559.    wt: 5:   3 Adding Words To Arithmetic
  560.    wt: 5:   2 What is a Variable
  561.    wt: 5:   4 Greater More Less Than Signs in General
  562.    wt: 5:   2 More and Less Than with Unlike Signs
  563.    wt: 5:   3 Properties of Square Roots with example
  564.    wt: 5:   11 GCD 2700 288 via Euclid Algorithm
  565.    wt: 5:   7 GCD and LCM from prime factorization
  566.    wt: 5:   1 Least Common Multiples LCM Introduction
  567.    wt: 5:   11 What are real lengths and numbers
  568.    wt: 5:   7 negative and additive inverse
  569.    wt: 5:   2 signed and unsigned numbers as coordinates
  570.    wt: 5:   2 Equality and Units
  571.    wt: 5:   13 Fraction Comparison Algebraic View
  572.    wt: 5:   12 Fraction Comparison
  573.    wt: 5:   4 Fraction Multiplication
  574.    wt: 5:   1 What is a fraction
  575.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  576.    wt: 5:   4 Adding Movements wiht opposite directions
  577.    wt: 5:   3 Adding Movements with same direction
  578.    wt: 5:   27 Divisibility by 2 3 6 5 9 10 Example
  579.    wt: 5:   26 Divisibility by 2 3 5 Example
  580.    wt: 5:   21 Remainder Arithmetic Modulo 3
  581.    wt: 5:   19 Remainder Arithmetic Rule of 9 for checking sums III
  582.    wt: 5:   18 Remainder Arithmetic Rule of 9 for checking sums II
  583.    wt: 5:   17 Remainder Arithmetic Rule of 9 for checking sums I
  584.    wt: 5:   15 Remainder Arithmetic Modulo 9 Example
  585.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  586.    wt: 5:   13 Remainder Arithmetic Modulo 5 Example
  587.    wt: 5:   11 Remainder Arithmetic Long Division by 5 Quickly more
  588.    wt: 5:   10 Remainder Arithmetic Long Division by 5 Quickly
  589.    wt: 5:   8 Remainder Arithmetic Morulo 5 Examples II
  590.    wt: 5:   7 Remainder Arithmetic Modulo 5 Examples I
  591.    wt: 5:   6 Remainder Arithmetic Modulo 5 Propertie
  592.    wt: 5:   4 Remainder Arithmetic Modulo 10 in general
  593.    wt: 5:   3 Remainder Arithmetic Modulos 10 more still
  594.    wt: 5:   2 Remainder Arithmetic Modulo 10 more
  595.    wt: 5:   20 Uniqueness of Prime Factorization
  596.    wt: 5:   17 Identify and Count Factors using Primes
  597.    wt: 5:   14 video Factors of 24 Take II
  598.    wt: 5:   8 video Prime Factorization upto 19
  599.    wt: 5:   6 Sieve of Eratosthenes and Square Rule
  600.    wt: 5:   3 video Primes and Composites from 9 times table
  601.    wt: 5:   2 Prime and Composites less than 16
  602.    wt: 5:   Division with Counts and Length
  603.    wt: 5:   11 Another Single Digit Divisor Example
  604.    wt: 5:   8 Correcting the Mistake
  605.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  606.    wt: 5:   2 Division with Single Digit Divisors
  607.    wt: 5:   D Decimal Multiplication Methods Derived
  608.    wt: 5:   C Counting Areas with Powers of Ten
  609.    wt: 5:   4 Two and Three Digit Multipliers
  610.    wt: 5:   Video Power Notation in Decimal Expansion
  611.    wt: 5:   Subtraction with J Conversions Example
  612.    wt: 5:   Subtraction Another Video Lesson
  613.    wt: 5:   Appendix 1 Counting Revisited 15 minute video
  614.    wt: 5:   4. How to add with decimals B with conversions
  615.    wt: 5:   2 Decimal Counting Practices
  616.    wt: 5:   1. Explaining Addition Table
  617.    wt: 5:   10 Names for Big Numbers and Powers of Ten Expansion
  618.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  619.    wt: 5:   The 20 Times Table
  620.    wt: 5:   016 Numbering Occidental Calendar Days
  621.    wt: 5:   015 School and work day counting tables
  622.    wt: 5:   014 Counting Days with Calendars
  623.    wt: 5:   013 Travel Time Tables
  624.    wt: 5:   7 Addition of Time Intervals
  625.    wt: 5:   Area Between Crossing Curves Lesson Take 1
  626.    wt: 5:   Area Between Curves Lesson Take 1
  627.    wt: 5:   2 Indefinite Integrals Exercises
  628.    wt: 5:   1 Chain Rule in Reverse Integration Method
  629.    wt: 5:   2 Second derivative test prequel
  630.    wt: 5:   A Chain Rule Real Player video examples
  631.    wt: 5:   34 Derivative of exponential function
  632.    wt: 5:   29 Chain Rule Optional Reading
  633.    wt: 5:   27 Chain Rule sinusoidal outer inner functions EGS
  634.    wt: 5:   26 Chain Rule Recognising outer inner functions
  635.    wt: 5:   22 Chain Rule for polynomials
  636.    wt: 5:   17 Derivatives of quotients of sine and cosine
  637.    wt: 5:   14 sine and cosine derivatives 2nd step
  638.    wt: 5:   13 sine and cosine derivatives 1st step
  639.    wt: 5:   10 Three one sided limits with infinite values
  640.    wt: 5:   9 Limits Continuity and Composition
  641.    wt: 5:   5 Jumps and absence of unlimited error control
  642.    wt: 5:   F.3 Intermediate Value Theorem
  643.    wt: 5:   Chapter 20 Vectors and Complex Numbers
  644.    wt: 5:   Chapter 15. Slope Approximation
  645.    wt: 5:   Chapter 13. Acceleration
  646.    wt: 5:   Chapter 12. Units and Slopes
  647.    wt: 5:   Chapter 4. More Slope Sign Analysis
  648.    wt: 5:   Chapter 3. Slope Sign Analysis
  649.    wt: 5:   Chapter 28 Occurrence Tables
  650.    wt: 5:   Chapter 21. Third Reading Guide
  651.    wt: 5:   Chapter 19. Functions and Sets
  652.    wt: 5:   Chapter 15. Solving Linear Equations
  653.    wt: 5:   Chapter 6 Change of Language
  654.    wt: 5:   Postscript A Three Remarks
  655.    wt: 5:   Chapter 10 Transition
  656.    wt: 5:   Postscript D Reflections on Law of the Excluded Middle
  657.    wt: 5:   Postscript A Story Telling
  658.    wt: 5:   Chapter 21 Occurrence Tables
  659.    wt: 5:   Chapter 8 Change of Language
  660.    wt: 5:   M Words to extend arithmetic
  661.    wt: 5:   L Skills with take home value
  662.    wt: 5:   N Improving Marks on Tests and Finals
  663.    wt: 5:   Chapter 6 More Algebra and Geometry
  664.    wt: 5:   Chapter 1 Arithmetic
  665.    wt: 5:   Ends Values Methods For Skill Development Framework Prequel
  666.    wt: 4:   J LAMP Introduction Extrinsic Origins
  667.    wt: 4:   G LAMP Introduction Problem Solving Skills
  668.    wt: 4:   A Introduction Objectives
  669.    wt: 4:   Skills Chapter 5 Calculus
  670.    wt: 4:   Skills Chapter 3 Algebra
  671.    wt: 4:   11 pure mathematics
  672.    wt: 4:   1 arithmetic with unsigned numbers
  673.    wt: 4:   permissions for teachers
  674.    wt: 4:   About site lesson plans
  675.    wt: 4:   learning takes time
  676.    wt: 4:   what should be learnt and When
  677.    wt: 4:   Maps Plans Drawings
  678.    wt: 4:   how letters appear
  679.    wt: 4:   teaching tips
  680.    wt: 4:   the trouble with algebra
  681.    wt: 4:   05 13 OldSiteEntrancePage
  682.    wt: 4:   formal or informal peer review
  683.    wt: 4:   Different Kinds of Reasoning in maths
  684.    wt: 4:   cultivating intelligence
  685.    wt: 4:   Prequel In For A Penny In For A Pound
  686.    wt: 4:   chapitre 04 09 Regles accidentelles
  687.    wt: 4:   chapitre 04 06 engagements
  688.    wt: 4:   chapitre 04 04 Parlons de la logique
  689.    wt: 4:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  690.    wt: 4:   chapitre 04 00 Les regles d implication
  691.    wt: 4:   chapitre 01 00 Introduction
  692.    wt: 4:   3 Like resistors in parallel
  693.    wt: 4:   23 Modularized Skill Development Modularized Rigor
  694.    wt: 4:   15 Counting For Parents
  695.    wt: 4:   11 Help and Defend Your Child or Teens Education
  696.    wt: 4:   Ages 12 to 14 Geometry
  697.    wt: 4:   Ages 10 to 12 Geometry
  698.    wt: 4:   26 Function definitions done and coming
  699.    wt: 4:   19 Horizontal line rule and method
  700.    wt: 4:   18 Vertical Line Rule and Method
  701.    wt: 4:   16 Increasing or decreasing on intervals
  702.    wt: 4:   15 Sign analysis of functions
  703.    wt: 4:   13 From one to one to many to one
  704.    wt: 4:   7 Functions with finite domains
  705.    wt: 4:   10 quadratic exercises
  706.    wt: 4:   5 Polynomials Long division Nonlinear divisor
  707.    wt: 4:   4 Polynomials Long division linear divisor
  708.    wt: 4:   8 Radian Measures of Common Angles
  709.    wt: 4:   6 Radian Measure to Degrees
  710.    wt: 4:   5 Degrees to Radian Measure
  711.    wt: 4:   6 Vectors with Coordinates
  712.    wt: 4:   Vector and Complex Number Applet
  713.    wt: 4:   Triangle Angles Sum To 180 Degrees
  714.    wt: 4:   11 Straight Lines Graphing y=mx
  715.    wt: 4:   1 Straight Lines Slope Concept
  716.    wt: 4:   23 sine and cosine of 180 plus 22.5 degrees
  717.    wt: 4:   17G Pythagorean Theorem Converse
  718.    wt: 4:   8 period of tangent function
  719.    wt: 4:   Unit Circle Development of Trigonometry
  720.    wt: 4:   16 References and Originality Question
  721.    wt: 4:   15 Pythagorean Theorem Converse
  722.    wt: 4:   8 Unit Circle Development of Trigonometry
  723.    wt: 4:   4 Multiplication Properties
  724.    wt: 4:   8 Triangles Cascade Problem Solving
  725.    wt: 4:   1 Angle Measurement with Degrees
  726.    wt: 4:   6 Geometric Diagrams in Class
  727.    wt: 4:   1 Early Concept of Like or Similar Shapes
  728.    wt: 4:   10 Midpoint of [a b] and [b a]
  729.    wt: 4:   6 Intersection of lines by solving linear systems
  730.    wt: 4:   11 Triangle Inequality
  731.    wt: 4:   21 Parallelograms
  732.    wt: 4:   15 Triangle Angle Sum is 180 degrees
  733.    wt: 4:   3 Isometry of Triangles Congruence
  734.    wt: 4:   2 Correspondence between Triangles
  735.    wt: 4:   A Measurement with Ruler Proper Use
  736.    wt: 4:   About Folder Contents
  737.    wt: 4:   A Signed Number Arithmetic Review
  738.    wt: 4:   12 Real Numbers Line Signed Coordinates
  739.    wt: 4:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  740.    wt: 4:   6 Infinite Decimals Ending in 9 repeating
  741.    wt: 4:   3 Inequalities Algebraically
  742.    wt: 4:   3 Proportionality Examples
  743.    wt: 4:   1 Changing Calculations
  744.    wt: 4:   3 Product Axioms Two Forms
  745.    wt: 4:   4 Comparison of Negative Numbers
  746.    wt: 4:   3 More and Less Than with Unlike Signs
  747.    wt: 4:   14 Real Number Multiplication
  748.    wt: 4:   13 Real Number Subtraction
  749.    wt: 4:   9 Coordinates for Regions in Space
  750.    wt: 4:   7 Real Numbers as Line Cordinates
  751.    wt: 4:   1 Whole and Natural Numbers
  752.    wt: 4:   4 GE III Animated Examples
  753.    wt: 4:   1 GE Substitution four examples
  754.    wt: 4:   5 Algebraic Solutions Introduction
  755.    wt: 4:   6 Power Set Notation
  756.    wt: 4:   5 Product Builder Notation
  757.    wt: 4:   4 Subset Builder Notation
  758.    wt: 4:   3 Counting with Sets etc
  759.    wt: 4:   4 A Brief Story of numbers and algebra
  760.    wt: 4:   1 Three Skills For Algebra
  761.    wt: 4:   About Folder Contents
  762.    wt: 4:   3 Comparison of Negative Numbers
  763.    wt: 4:   5 Square Roots with primes more still
  764.    wt: 4:   2 Square Roots with Prime
  765.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  766.    wt: 4:   13 GCD from given Prime Factorization
  767.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  768.    wt: 4:   LCM 60 45 Avoid List Method Use Prime
  769.    wt: 4:   12 GCD 2700 288 via Prime
  770.    wt: 4:   1 Counting and Counting Methods I
  771.    wt: 4:   4 signed coordinates for regions in space
  772.    wt: 4:   4 Fractions with Units
  773.    wt: 4:   D Three Term Ratios
  774.    wt: 4:   22 Complex Compound Fractions
  775.    wt: 4:   20 Dividing Fractions the Why
  776.    wt: 4:   18 Efficient Ways to Multiply
  777.    wt: 4:   11 Simplification an Algebraic View
  778.    wt: 4:   5 Equivalent Fractions
  779.    wt: 4:   12 Adding Integers More Examples
  780.    wt: 4:   8 Multiplication by Signed Numbers Integers
  781.    wt: 4:   5 Zero Movement and Additive Inverses
  782.    wt: 4:   1 Integers as Coordinates
  783.    wt: 4:   5 Remainder Arithmetic Modulo 5
  784.    wt: 4:   1 Remainder Arithmetic Modulo 10
  785.    wt: 4:   19 video Prime Factorization Unique
  786.    wt: 4:   12 Why Long Division Works Take III
  787.    wt: 4:   10 Division by Five Long and Short Ways
  788.    wt: 4:   4 Division with 2 Digit Divsors
  789.    wt: 4:   3 Division Single Digit Divisor Example
  790.    wt: 4:   5. How to add decimals C. Examples
  791.    wt: 4:   1 Place Value in Three Digit Whole Numbers
  792.    wt: 4:   Quick history of numbers and algebra
  793.    wt: 4:   Expression Evaluation how to show work
  794.    wt: 4:   About folder contents
  795.    wt: 4:   011 Division of Time Intervals By Numbers
  796.    wt: 4:   4 Mixing and Changing Units of Time
  797.    wt: 4:   3 Units and Lengths of Time
  798.    wt: 4:   3 Two Chain Rule Method Exercises
  799.    wt: 4:   3 Second derivative test
  800.    wt: 4:   33 Chain Rule Real Player video examples
  801.    wt: 4:   20 Chain Rule for Pulley Systems
  802.    wt: 4:   19 Chain Rule for linear functions
  803.    wt: 4:   16 Derivatives of reciprocals of sine and cosine
  804.    wt: 4:   15 sine and cosine derivatives 3rd step
  805.    wt: 4:   12 Quotient rule examples
  806.    wt: 4:   10 Power rule for negative integers
  807.    wt: 4:   8 Differentiation of polynomials
  808.    wt: 4:   8 Four Animated Examples
  809.    wt: 4:   2 Algebraic codification
  810.    wt: 4:   G.3 Constant Difference Theorem Proof
  811.    wt: 4:   G.1 Differentiable Functions Rolles Theorem
  812.    wt: 4:   F.5a Equicontinuity Theorems
  813.    wt: 4:   F.1 What Functions are Continuous
  814.    wt: 4:   E2 Algebraic Properties of Limits
  815.    wt: 4:   C Triangle Inequalities
  816.    wt: 4:   B3 Bolzano Weierstrass Theorem
  817.    wt: 4:   Chapter 22 Complex Numbers
  818.    wt: 4:   Chapter 11. Graphing Slope versus Position
  819.    wt: 4:   Chapter 10 Slopes and Units
  820.    wt: 4:   Chapter 7 Slopes and Velocity
  821.    wt: 4:   Chapter 5. Slope Sign Tests
  822.    wt: 4:   Chapter 1.Introduction
  823.    wt: 4:   Fall 1983 Calculus Appetizer
  824.    wt: 4:   Appendix D. What to do in School and Why
  825.    wt: 4:   Chapter 18. Rules for Algebra
  826.    wt: 4:   Chapter 16. Painless Theorem Proving
  827.    wt: 4:   Chapter 11. Why Shorthand
  828.    wt: 4:   Chapter 4 Longer Chains of Reason
  829.    wt: 4:   Chapter 3 Chains of Reason
  830.    wt: 4:   Chapter 12 Four Phases
  831.    wt: 4:   Chapter 9 The Two Ends
  832.    wt: 4:   Chapter 8 Modern Instruction
  833.    wt: 4:   Chapter 3 Algebra Difficulties
  834.    wt: 4:   Chapter 1 Introduction
  835.    wt: 4:   Chapter 7 Longer Chains of Reason
  836.    wt: 4:   Chapter 6 Chains of Reason
  837.    wt: 4:   Chapter 2 Skill Development
  838.    wt: 4:   Chapter 1 Introduction
  839.    wt: 4:   Q How Logic and Proofs extend Show Work Practices
  840.    wt: 4:   I. Logic and language skills
  841.    wt: 4:   A. Skill has to be seen to believed
  842.    wt: 4:   Chapter 8 Skipped Topics and Why
  843.    wt: 4:   Chapter 2 Why Sets
  844.    wt: 4:   Implementation Notes
  845.    wt: 4:   More Algebra and Slope based Calculus Preview
  846.    wt: 4:   Road Safety Questions
  847.    wt: 3:   K LAMP Musings Science Education
  848.    wt: 3:   Skills Chapter 4 Logic
  849.    wt: 3:   Ramblings Extrinsic numbers theory
  850.    wt: 3:   3 Euclidean Geometry Leanly
  851.    wt: 3:   key notes and themes
  852.    wt: 3:   Postscript 2007 01 10
  853.    wt: 3:   five decades make a difference
  854.    wt: 3:   chapitre 05 00 Deception
  855.    wt: 3:   chapitre 04 02 Deuxieme enigme
  856.    wt: 3:   2 Energy Power Heat07
  857.    wt: 3:   A Circuit Elements
  858.    wt: 3:   Home Tutoring and Home Schooling
  859.    wt: 3:   3 Preparing for Science Studies
  860.    wt: 3:   14 Surjections Injections Bijections
  861.    wt: 3:   Introduction Reading Guide
  862.    wt: 3:   11 Growth and Decay in Biology
  863.    wt: 3:   8 arcsin left inverse of sine Graph
  864.    wt: 3:   7 arcsin left inverse of sine Definition
  865.    wt: 3:   6 Graph of arccos function
  866.    wt: 3:   3 Left Inverse of cosine arccos definition
  867.    wt: 3:   2 cosine function more properties
  868.    wt: 3:   15 Dot and Cross Product
  869.    wt: 3:   8 Parallel Vectors
  870.    wt: 3:   2 Signed Coordinates
  871.    wt: 3:   28 Expressing products of sines cosines as sums
  872.    wt: 3:   10 Graphs of sines and cosines many periods
  873.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  874.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  875.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  876.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  877.    wt: 3:   20 N th Roots of Complex Numbers
  878.    wt: 3:   19 N th Roots of Unity
  879.    wt: 3:   18 Sixth Roots of Unity
  880.    wt: 3:   3 Addition Properties
  881.    wt: 3:   2 Complex Numbers made easier we hope
  882.    wt: 3:   Why Trigonometry the whyslopes view
  883.    wt: 3:   2 Similarity By Design
  884.    wt: 3:   8 Mid Point Formula
  885.    wt: 3:   3 Slope product for perpendicular lines
  886.    wt: 3:   13 Angle Side Angle Failure
  887.    wt: 3:   12 Side Angle Side Failure
  888.    wt: 3:   10 Dropping a perpendicular to line
  889.    wt: 3:   8 Isoceles Triangles
  890.    wt: 3:   Short Course on Euclidean Geometry
  891.    wt: 3:   1 Length Measurement
  892.    wt: 3:   musings do not puiblish real numbers
  893.    wt: 3:   5 Equality in Algebra
  894.    wt: 3:   1 Real Numbers Comparison
  895.    wt: 3:   16 Real Numbers Comparison
  896.    wt: 3:   11 Real Number Addition
  897.    wt: 3:   10 Real Number Lengths and Signs
  898.    wt: 3:   5 Rational Numbers More
  899.    wt: 3:   4 Rational Numbers
  900.    wt: 3:   5 Independent versus Dependent Variables
  901.    wt: 3:   4 Changing Letters
  902.    wt: 3:   2 GE II Comparison
  903.    wt: 3:   6 Algebraic Solution Example
  904.    wt: 3:   2 Three Examples
  905.    wt: 3:   2 Three Examples
  906.    wt: 3:   5 Box Volume Formula Example
  907.    wt: 3:   2 Venn Diagrams
  908.    wt: 3:   4 Square Roots with primes more
  909.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  910.    wt: 3:   8 GCD from Euclidean Algorithm
  911.    wt: 3:   9 subtracting signed numbers
  912.    wt: 3:   7 Converting or Changing Units
  913.    wt: 3:   3 Multiplying Units and Numbers
  914.    wt: 3:   19 Dividing Fractions How TO
  915.    wt: 3:   9 Improper Fractions and Mixed Numbers
  916.    wt: 3:   6 Multiplication of Mixed Numbers
  917.    wt: 3:   B Integer Long Division Multiple Choices
  918.    wt: 3:   7 Multiplication by Signs
  919.    wt: 3:   13 video Factors of 24 using prime
  920.    wt: 3:   Long Division Backwards more
  921.    wt: 3:   Long Division Backward
  922.    wt: 3:   9 Why Long Division Works Take II
  923.    wt: 3:   2 One Digit Multipliers
  924.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  925.    wt: 3:   5 Conversion Arithmetic
  926.    wt: 3:   Example 2 volume of a cone
  927.    wt: 3:   Example 1 volume of a pyramid
  928.    wt: 3:   Example 4 with x function of y
  929.    wt: 3:   5 Area Under Curve Exercise
  930.    wt: 3:   A Related lessons in Volume 3
  931.    wt: 3:   31 Derivatives of inverse functions
  932.    wt: 3:   23 Chain Rule in general
  933.    wt: 3:   21 Chain Rule for powers
  934.    wt: 3:   18 Chain Rule Introduction
  935.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  936.    wt: 3:   1 Numerical introduction
  937.    wt: 3:   G.5 Motions With Bounded Velocities
  938.    wt: 3:   F.5b Extreme Value Theorem
  939.    wt: 3:   F.2 Closed Range Theorem
  940.    wt: 3:   E1 Error Control Inequalities
  941.    wt: 3:   D2 Limits of Monotone Sequences
  942.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  943.    wt: 3:   A1. Introduction
  944.    wt: 3:   Appendix C. How to Read
  945.    wt: 3:   Appendix B. How To Learn
  946.    wt: 3:   Chapter 13. Second Reading Guide
  947.    wt: 3:   Chapter 4 Complex Numbers and Why Slopes
  948.    wt: 3:   Chapter 18 Sense and Knowledge
  949.    wt: 3:   Chapter 15 Objective Processes
  950.    wt: 3:   Chapter 10 Responsibility
  951.    wt: 3:   Chapter 5 Deception
  952.    wt: 3:   1 Links to Online Resources Elsewhere Take 1
  953.    wt: 3:   S Adding words to algebra
  954.    wt: 3:   J. More on written work and showing skill
  955.    wt: 3:   H more Routine to non routine problem solving
  956.    wt: 3:   E. When and how to correct errors
  957.    wt: 3:   How to Build Skills and Confidence
  958.    wt: 2:   6 polynomials etc
  959.    wt: 2:   What is POMME
  960.    wt: 2:   which way to go
  961.    wt: 2:   links Education Resources online
  962.    wt: 2:   site eurekas
  963.    wt: 2:   modern education
  964.    wt: 2:   three difficulties
  965.    wt: 2:   Lessening Algebra Difficulties
  966.    wt: 2:   chapitre 04 01 Premiere enigme
  967.    wt: 2:   deux definitions pour variable
  968.    wt: 2:   4 Energy Power Heat09
  969.    wt: 2:   3 Energy Power Heat08
  970.    wt: 2:   1 Energy Power Heat06
  971.    wt: 2:   1 Like resistors in series
  972.    wt: 2:   H Series Circuit02
  973.    wt: 2:   F Unlike Resistors in Series
  974.    wt: 2:   D Kirchoff First Law
  975.    wt: 2:   1 Speaking Skills
  976.    wt: 2:   Ages 9 to 10
  977.    wt: 2:   Ages 8 to 9
  978.    wt: 2:   Ages 7 to 8
  979.    wt: 2:   Ages 6 to 7
  980.    wt: 2:   Ages 4 plus to 5 plus
  981.    wt: 2:   Ages 3 plus to 4 plus
  982.    wt: 2:   23 Inverse Functions
  983.    wt: 2:   1 cosine function properties
  984.    wt: 2:   13 Velocity Vectors in Physics
  985.    wt: 2:   11 Component Method
  986.    wt: 2:   1 Unsigned Coordinates
  987.    wt: 2:   4 graphing y=Asin(x c)
  988.    wt: 2:   1 graphing y=f(x a)
  989.    wt: 2:   9 Graphs of sine and cosine over one period
  990.    wt: 2:   17 Cube Roots of unity
  991.    wt: 2:   7 Complex Numbers Appetizer
  992.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  993.    wt: 2:   7 Angle Side Angle
  994.    wt: 2:   19 Signed Multiples of Vectors
  995.    wt: 2:   E Long Division Methods more
  996.    wt: 2:   D Long Division Methods
  997.    wt: 2:   1 The Counting Origins of Numbers
  998.    wt: 2:   2 Algebraic View
  999.    wt: 2:   15 Real Number Division
  1000.    wt: 2:   3 Fractions
  1001.    wt: 2:   2 Integers
  1002.    wt: 2:   1 Essentially One Unknown
  1003.    wt: 2:   1 Proper Equal Sign Usage
  1004.    wt: 2:   Skill Development Notes
  1005.    wt: 2:   9 Three Examples
  1006.    wt: 2:   7 Two Examples
  1007.    wt: 2:   6 Three Examples
  1008.    wt: 2:   5 Three Examples
  1009.    wt: 2:   4 Two Examples
  1010.    wt: 2:   3 Two Examples
  1011.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  1012.    wt: 2:   1 Finite Sets
  1013.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  1014.    wt: 2:   5 Common Divisors 60 45 via Prime
  1015.    wt: 2:   4 LCM of 8 and 10 via Prime
  1016.    wt: 2:   5 lengths and signs of numbers
  1017.    wt: 2:   21 Working With Signs
  1018.    wt: 2:   D Remainders Modulo 11 Pair Rule
  1019.    wt: 2:   9 Multiplying Integers
  1020.    wt: 2:   16 video Factors of 980 using prime
  1021.    wt: 2:   12 LCD GCD and LCM using Primes
  1022.    wt: 2:   11 Efficient Square Rule Use
  1023.    wt: 2:   5 Long Division Include Zeroes or not
  1024.    wt: 2:   1 Divsion Physical Examples
  1025.    wt: 2:   3 More One Digit Multipliers
  1026.    wt: 2:   6 How long is a million seconds
  1027.    wt: 2:   Example 2
  1028.    wt: 2:   30Chain Rule A Proof
  1029.    wt: 2:   11 Quotient rule
  1030.    wt: 2:   4 Numerical properties
  1031.    wt: 2:   F.4 Finite Covering Theorem
  1032.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  1033.    wt: 2:   Chapter 5 Four References
  1034.    wt: 2:   Three Remarks
  1035.    wt: 2:   H Jigsaw puzzles and problem solving
  1036.    wt: 2:   C. Domino effect of being careful
  1037.    wt: 2:   Which Way To Go
  1038.    wt: 1:   4 algebra
  1039.    wt: 1:   why bother
  1040.    wt: 1:   website reviews
  1041.    wt: 1:   site origins
  1042.    wt: 1:   Theory of Knowledge
  1043.    wt: 1:   B Energy Power02
  1044.    wt: 1:   A Energy Power01
  1045.    wt: 1:   G Series Circuit01
  1046.    wt: 1:   E Kirchoffs Second Law
  1047.    wt: 1:   3 graphing y=f(x c) plus K
  1048.    wt: 1:   17F Law of cosines
  1049.    wt: 1:   7 period of sine and cosine
  1050.    wt: 1:   14 Law of cosines
  1051.    wt: 1:   6 Field Properties of Complex Number
  1052.    wt: 1:   Four Simple Exercises
  1053.    wt: 1:   12 Links Lessons elsewhere
  1054.    wt: 1:   5 Algebraic View of Slopes
  1055.    wt: 1:   5 Side Angle Side
  1056.    wt: 1:   6 Unsigned Real Numbers
  1057.    wt: 1:   More Exercises
  1058.    wt: 1:   Simple Exercises
  1059.    wt: 1:   3 Four Examples
  1060.    wt: 1:   10 One Example
  1061.    wt: 1:   8 One Example
  1062.    wt: 1:   10 Volume of Pyramid
  1063.    wt: 1:   8 Sets of Numbers
  1064.    wt: 1:   8 multiplying signed numbers
  1065.    wt: 1:   6 adding signed numbers
  1066.    wt: 1:   B Powers of Ten
  1067.    wt: 1:   1 Why 3 times 5 gives 15
  1068.    wt: 1:   Volume of Solid by Cross Sections Lesson
  1069.    wt: 1:   Example 3
  1070.    wt: 1:   Example 1
  1071.    wt: 1:   Summary
  1072.    wt: 1:   9 Reciprocal rule
  1073.    wt: 1:   6 Power rule from product rule
  1074.    wt: 1:   5 Product Rule
  1075.    wt: 1:   Foreword
  1076.    wt: 1:   Foreword
  1077.    wt: 1:   Foreword
  1078.    wt: 1:   Foreword
  1079.    wt: 1:   B. Domino effect of errors
  1080.    wt: 1:   Site Reviews
  1081.    wt: 15:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  1082.    wt: 13:   25 Absolute Value greatest integer and saw tooth functions
  1083.    wt: 13:   Construction Methods and Criteria for Isometric and Similar Triangles
  1084.    wt: 13:   29 secant cosecant and cotangent for acute angles
  1085.    wt: 13:   C Equality for Fractions and Two Term Ratios and Fractions
  1086.    wt: 13:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  1087.    wt: 13:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  1088.    wt: 12:   5 Trigonometric Ratios For Tangent and Special Triangles
  1089.    wt: 12:   7 Translations Rotations Reflections Dilatations
  1090.    wt: 12:   Chapter 2 For and Against Mathematics
  1091.    wt: 12:   Chapter 22 Contrapositive and Vacuously True Implications
  1092.    wt: 12:   Mathematics Teacher Certification Best Practices
  1093.    wt: 11:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  1094.    wt: 11:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  1095.    wt: 11:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  1096.    wt: 11:   5 Function notation for geometric transformations
  1097.    wt: 11:   14 Why Scalar Multiplication Distributes Physical Argument
  1098.    wt: 11:   SAS Method For Isometric Or Proportional Triangle Construction
  1099.    wt: 11:   31 basic secant cosecant cotangent trig identities
  1100.    wt: 11:   13 Pythagorean spatial distance formulas
  1101.    wt: 11:   PS F Scalar Multiplication Distributes over Addition
  1102.    wt: 11:   A Similarities between Fractions and Two Term Ratios
  1103.    wt: 11:   12 Limits with Parameters and Derivatives Take I
  1104.    wt: 11:   Chapter 29 Contrapositive and Vacuously True Implications
  1105.    wt: 11:   V Reasons and Motivations for Logic and Mathematics
  1106.    wt: 11:   Primary and Secondary Skills and Practices with Take Home Value
  1107.    wt: 11:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  1108.    wt: 10:   C LAMP Introduction Culture in Mathematics Education
  1109.    wt: 10:   6 Set Existence Formation and Notation
  1110.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms
  1111.    wt: 10:   3 Natural Logarithms and Exponentials Basic Properties
  1112.    wt: 10:   Rewriting algebraic substitution as function substitutions
  1113.    wt: 10:   7 Coordinate Addition and Scalar Multiplication
  1114.    wt: 10:   6 Tangent Function Inclination Angle Take 2
  1115.    wt: 10:   3 Straight Lines Slope as Tangent of Inclination Angle
  1116.    wt: 10:   13 Navigation Location from Angles to 2 Landmarks
  1117.    wt: 10:   5 Cartesian Addition and Translation
  1118.    wt: 10:   15 Head to Tails in place Addition Associative
  1119.    wt: 10:   9 Circle Area and Perimeter Formula Backwards Forwards
  1120.    wt: 10:   2 Another Rectangle Area Formula Example
  1121.    wt: 10:   Fraction Operations by Raising Terms A Simple Innovation
  1122.    wt: 10:   A Elementary Basis for Multiplication Methods
  1123.    wt: 10:   11 Place Value SI Standard International way
  1124.    wt: 10:   Practical Methods Ends and Values for Arithmetic
  1125.    wt: 10:   13 Limits with Parameters and Derivatives Take II
  1126.    wt: 10:   Chapter 19. Exponentials and Natural Logarithms
  1127.    wt: 10:   Chapter 14 Limits and Continuity with and sans Decimals
  1128.    wt: 10:   Chapter 25. Mathematical Induction Examples
  1129.    wt: 10:   Chapter 14. Forward and Backward Use of a Formula
  1130.    wt: 10:   Chapter 2 Implication Rules Forwards and Backwards
  1131.    wt: 10:   Chapter 16 Origins and Limitations of Rules and Patterns
  1132.    wt: 10:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  1133.    wt: 10:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  1134.    wt: 10:   Phase 1. Basics Skills with clear take home value 5 to 6 years

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1147 matches:

  1.    wt: 9:   chapitre 05 00 Deception
  2.    wt: 9:   chapitre 04 02 Deuxieme enigme
  3.    wt: 9:   problemes algebre et arithmetique
  4.    wt: 9:   2 Energy Power Heat07
  5.    wt: 9:   23 Modularized Skill Development Modularized Rigor
  6.    wt: 9:   18 Primary School Mathematics
  7.    wt: 9:   10 Ends values for work study instruction
  8.    wt: 9:   8 The Effect of Negative Remarks
  9.    wt: 9:   7 Student Motivation
  10.    wt: 9:   12 Function Domain Recognition Exercises
  11.    wt: 9:   5 Polynomials Long division Nonlinear divisor
  12.    wt: 9:   4 Polynomials Long division linear divisor
  13.    wt: 9:   14 Law of cosines
  14.    wt: 9:   6 Field Properties of Complex Number
  15.    wt: 9:   3 Fractions
  16.    wt: 9:   2 Integers
  17.    wt: 9:   8 Sets of Numbers
  18.    wt: 9:   G.3 Constant Difference Theorem Proof
  19.    wt: 9:   G.1 Differentiable Functions Rolles Theorem
  20.    wt: 9:   F.5a Equicontinuity Theorems
  21.    wt: 9:   F.1 What Functions are Continuous
  22.    wt: 9:   E2 Algebraic Properties of Limits
  23.    wt: 9:   C Triangle Inequalities
  24.    wt: 9:   B3 Bolzano Weierstrass Theorem
  25.    wt: 9:   Chapter 11. Graphing Slope versus Position
  26.    wt: 9:   Chapter 10 Slopes and Units
  27.    wt: 9:   Chapter 7 Slopes and Velocity
  28.    wt: 9:   Chapter 5. Slope Sign Tests
  29.    wt: 9:   Chapter 1.Introduction
  30.    wt: 9:   Chapter 5 Four References
  31.    wt: 9:   Q How Logic and Proofs extend Show Work Practices
  32.    wt: 9:   I. Logic and language skills
  33.    wt: 9:   A. Skill has to be seen to believed
  34.    wt: 9:   Which Way To Go
  35.    wt: 9:   Talking pdf files for online lessons a webvideo alternative
  36.    wt: 9:   The Math Forum and Site Content
  37.    wt: 8:   chapitre 04 01 Premiere enigme
  38.    wt: 8:   4 Energy Power Heat09
  39.    wt: 8:   3 Energy Power Heat08
  40.    wt: 8:   1 Energy Power Heat06
  41.    wt: 8:   B Energy Power02
  42.    wt: 8:   A Circuit Elements
  43.    wt: 8:   15 Counting For Parents
  44.    wt: 8:   11 Help and Defend Your Child or Teens Education
  45.    wt: 8:   26 Function definitions done and coming
  46.    wt: 8:   10 Interval Notation
  47.    wt: 8:   9 Set theory term relation possible origins
  48.    wt: 8:   8 Set view of relations and functions
  49.    wt: 8:   3 Formula or function graphing exercise
  50.    wt: 8:   6 Unsigned Real Numbers
  51.    wt: 8:   G.5 Motions With Bounded Velocities
  52.    wt: 8:   F.5b Extreme Value Theorem
  53.    wt: 8:   F.4 Finite Covering Theorem
  54.    wt: 8:   F.2 Closed Range Theorem
  55.    wt: 8:   E1 Error Control Inequalities
  56.    wt: 8:   D2 Limits of Monotone Sequences
  57.    wt: 8:   D1 Sets and Sequences GLBs and LGBs
  58.    wt: 8:   B1 Pigeon Hole Principles from combinatorics
  59.    wt: 8:   A1. Introduction
  60.    wt: 8:   Foreword
  61.    wt: 8:   Foreword
  62.    wt: 8:   1 Links to Online Resources Elsewhere Take 1
  63.    wt: 8:   S Adding words to algebra
  64.    wt: 8:   J. More on written work and showing skill
  65.    wt: 8:   H more Routine to non routine problem solving
  66.    wt: 8:   E. When and how to correct errors
  67.    wt: 8:   How to Build Skills and Confidence
  68.    wt: 7:   A Energy Power01
  69.    wt: 7:   1 Like resistors in series
  70.    wt: 7:   H Series Circuit02
  71.    wt: 7:   F Unlike Resistors in Series
  72.    wt: 7:   D Kirchoff First Law
  73.    wt: 7:   Home Tutoring and Home Schooling
  74.    wt: 7:   3 Preparing for Science Studies
  75.    wt: 7:   19 Horizontal line rule and method
  76.    wt: 7:   18 Vertical Line Rule and Method
  77.    wt: 7:   16 Increasing or decreasing on intervals
  78.    wt: 7:   15 Sign analysis of functions
  79.    wt: 7:   13 From one to one to many to one
  80.    wt: 7:   7 Functions with finite domains
  81.    wt: 7:   H Jigsaw puzzles and problem solving
  82.    wt: 7:   C. Domino effect of being careful
  83.    wt: 7:   B. Domino effect of errors
  84.    wt: 6:   deux definitions pour variable
  85.    wt: 6:   E Energy Power05
  86.    wt: 6:   D Energy Power04
  87.    wt: 6:   C Energy Power03
  88.    wt: 6:   G Series Circuit01
  89.    wt: 6:   E Kirchoffs Second Law
  90.    wt: 6:   1 Speaking Skills
  91.    wt: 6:   23 Inverse Functions
  92.    wt: 6:   14 Surjections Injections Bijections
  93.    wt: 6:   Introduction Reading Guide
  94.    wt: 6:   Foreword
  95.    wt: 5:   7 Links Lessons Elsewhere
  96.    wt: 5:   Road Safety Questions
  97.    wt: 4:   liens
  98.    wt: 4:   problemes responses
  99.    wt: 4:   logique deux enigme
  100.    wt: 31:   7 Subtraction for Decimal Fractions with Exercises
  101.    wt: 31:   3 Harder Cases Convert to Compare and Subtract
  102.    wt: 31:   1 Comparison and Subtraction Easy Direct Cases
  103.    wt: 30:   Construction Methods and Criteria for Isometric and Similar Triangles
  104.    wt: 30:   Appendix 2 Three Decimal Subtraction Methods
  105.    wt: 30:   2 Subtraction Easy Case Examples
  106.    wt: 2:   Site Reviews
  107.    wt: 29:   PS F Scalar Multiplication Distributes over Addition
  108.    wt: 29:   A Elementary Basis for Multiplication Methods
  109.    wt: 29:   Appendix 1 Decimals Comparison Method Take II
  110.    wt: 29:   6 Subtraction with Conversion Example with Exercises
  111.    wt: 29:   5 A Tip for Efficent Subtraction
  112.    wt: 29:   4 Subtraction with Conversions Borrows and Letter J
  113.    wt: 28:   SAS Method For Isometric Or Proportional Triangle Construction
  114.    wt: 28:   6 Tangent Function Inclination Angle Take 2
  115.    wt: 28:   3 Straight Lines Slope as Tangent of Inclination Angle
  116.    wt: 28:   9 22 Minute Subtraction Review Video
  117.    wt: 28:   8 Subtraction with Units of Measure
  118.    wt: 27:   PS G Rotation Distributes over Addition
  119.    wt: 27:   PS D Addition with Cartesian Coordinates
  120.    wt: 27:   6 Multiplication Commutes Order Not Important
  121.    wt: 27:   Video Decimal Multiplication Geometric View Example 2
  122.    wt: 27:   Video Decimal Multiplication Geometric View Example 2
  123.    wt: 27:   Subtraction with J Conversions Example
  124.    wt: 27:   Subtraction Another Video Lesson
  125.    wt: 26:   Proportionality of Line Segments From Parallel Transversals
  126.    wt: 26:   Analytic View of Triangle Construction or Line Instersection More
  127.    wt: 26:   Straight Lines ASA Intersection Study More
  128.    wt: 26:   8 Straight Lines Equation for vertical
  129.    wt: 26:   7 Tangent Function is odd on this domain
  130.    wt: 26:   5 Trigonometric Ratios For Tangent and Special Triangles
  131.    wt: 26:   13 Pythagorean spatial distance formulas
  132.    wt: 26:   PS E Multiplication with Polar Coordinates
  133.    wt: 26:   PS B Parallelogram Construction Methods
  134.    wt: 26:   Long Division forwards and backwards Example 2
  135.    wt: 26:   Video Power Notation in Decimal Expansion
  136.    wt: 26:   8 What skills and work habits to require
  137.    wt: 26:   7 Adding decimal fractions using decimal point
  138.    wt: 26:   6. Counting and adding units and mixed units
  139.    wt: 26:   3. How to add with decimals A sans conversions
  140.    wt: 26:   2 Decimal Counting Practices
  141.    wt: 25:   Parallel Lines and Parallel Transversals
  142.    wt: 25:   Parallel Lines and Alternating Corresponding Angles
  143.    wt: 25:   Straight Lines ASA Intersection Study
  144.    wt: 25:   29 secant cosecant and cotangent for acute angles
  145.    wt: 25:   5 Cartesian Addition and Translation
  146.    wt: 25:   C Equality for Fractions and Two Term Ratios and Fractions
  147.    wt: 25:   Long Division forwards and backwards Example 3
  148.    wt: 25:   5 Decimal Fraction Multiplication
  149.    wt: 25:   Appendix 1 Counting Revisited 15 minute video
  150.    wt: 25:   4. How to add with decimals B with conversions
  151.    wt: 25:   1. Explaining Addition Table
  152.    wt: 24:   4 Circle Sector Area proportional to Central Angle
  153.    wt: 24:   2 Graphing y=Af(x) Vertical Scaling
  154.    wt: 24:   Straight Lines Instersection Solving Equations
  155.    wt: 24:   D Straight Lines Slope from Coordinates Examples
  156.    wt: 24:   A Straight Line Slope Scaling Properties
  157.    wt: 24:   14 Straight Lines Equations General Case
  158.    wt: 24:   13 Straight Lines Finding Equations from 2 points
  159.    wt: 24:   2 Straight Lines Slopes As Rise Over Run
  160.    wt: 24:   7 Translations Rotations Reflections Dilatations
  161.    wt: 24:   10 Pythagorean plane distance formula
  162.    wt: 24:   PS H Distributive Law For Complex Numbers
  163.    wt: 24:   PS C Similarity Use Recognize it in Trigonometry
  164.    wt: 24:   PS A Kite Construction Methods
  165.    wt: 24:   2 Another Rectangle Area Formula Example
  166.    wt: 24:   Long Division forwards and backwards Example 1
  167.    wt: 24:   D Decimal Multiplication Methods Derived
  168.    wt: 24:   C Counting Areas with Powers of Ten
  169.    wt: 24:   4 Two and Three Digit Multipliers
  170.    wt: 24:   5. How to add decimals C. Examples
  171.    wt: 24:   Primary and Secondary Skills and Practices with Take Home Value
  172.    wt: 23:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  173.    wt: 23:   Parallel Lines and Interior Angles
  174.    wt: 23:   C Straight Lines Slope from Coordinates
  175.    wt: 23:   B Straight Line Slope Scaling Properties More
  176.    wt: 23:   10 Straight Lines through Origin Equations More
  177.    wt: 23:   9 Straight Lines through Origin Equations
  178.    wt: 23:   5 Tangent Function Graph
  179.    wt: 23:   4 Tangent Function Properties
  180.    wt: 23:   4 Trigonometric Ratios For Two Special Triangles
  181.    wt: 23:   6 Polar Multiplication and Rotation
  182.    wt: 23:   2 Cartesian Coordinates with signs
  183.    wt: 23:   18 Triangle Similarity Take 1
  184.    wt: 23:   9 Construction of a right bisector
  185.    wt: 23:   2 More and Less Than for Counts and Measures
  186.    wt: 23:   5 Reciprocals and Division for Fractions with Units
  187.    wt: 23:   1 Addition and Subtraction with Units
  188.    wt: 23:   A Similarities between Fractions and Two Term Ratios
  189.    wt: 23:   7 Long Divison Mistake Catching
  190.    wt: 23:   2 Division with Single Digit Divisors
  191.    wt: 23:   2 One Digit Multipliers
  192.    wt: 23:   Chapter 22 Contrapositive and Vacuously True Implications
  193.    wt: 23:   2 Identifying Size and Position Place and Spatial Sense
  194.    wt: 22:   8 Formulas for Fractional Exponents with Logarithms
  195.    wt: 22:   3 Natural Logarithms and Exponentials Basic Properties
  196.    wt: 22:   12 motivation for term arctan
  197.    wt: 22:   9 Summary Degrees to Radians and back
  198.    wt: 22:   3 Circle Arclengh Proportional to Central Angle
  199.    wt: 22:   Straight Lines Intersection of
  200.    wt: 22:   12 Straight Lines Graphing mx plus b
  201.    wt: 22:   11 Straight Lines Graphing y=mx
  202.    wt: 22:   31 basic secant cosecant cotangent trig identities
  203.    wt: 22:   2 Similar Triangles Equality of Corresponding Side Ratios
  204.    wt: 22:   13 Navigation Location from Angles to 2 Landmarks
  205.    wt: 22:   12 Spatial Coordinates
  206.    wt: 22:   21 Parallelograms
  207.    wt: 22:   19 Right Triangle Similarity
  208.    wt: 22:   17 Right Bisectors of Triangle Sides
  209.    wt: 22:   16 Angles Subtended By Chords and Diameters
  210.    wt: 22:   14 Parallel Lines Postulate
  211.    wt: 22:   11 Triangle Construction Fails
  212.    wt: 22:   6 Ruler and compass Angle Bisection
  213.    wt: 22:   2 Correspondence between Triangles
  214.    wt: 22:   1 Initial Concepts and Terms
  215.    wt: 22:   4 Rates Ratios and Proporitionality
  216.    wt: 22:   3 Geometric Formulas and Function Notation
  217.    wt: 22:   3 GE III Equation Addition and Multiplication
  218.    wt: 22:   6 Pythagorean Hypotenuse Calculation Example
  219.    wt: 22:   5 Counting with Tables Trees Product Rule Take II
  220.    wt: 22:   Fraction Operations by Raising Terms A Simple Innovation
  221.    wt: 22:   A Decimals Modular and Remainder Arithmetic
  222.    wt: 22:   25 Divisibility Tests for 2 3 5 9 10 Example
  223.    wt: 22:   Division with Counts and Length
  224.    wt: 22:   12 Why Long Division Works Take III
  225.    wt: 22:   11 Another Single Digit Divisor Example
  226.    wt: 22:   8 Correcting the Mistake
  227.    wt: 22:   6 Why Decimal Long Division Methods Works Take I
  228.    wt: 22:   6 Measuring via counting or arithmetic the role of fractions
  229.    wt: 21:   7 Formulas for Roots with Logarithms Derivation
  230.    wt: 21:   5 Natural Logarithm Calculator Exercises
  231.    wt: 21:   16 cotangent function Definition Graph and Inverse
  232.    wt: 21:   11 arctan left inverse of tangent Graph
  233.    wt: 21:   10 arctan left inverse of tangent Definition
  234.    wt: 21:   7 Radian Measures in special Triangles
  235.    wt: 21:   2 Radian Measure Numerical Value of one degree
  236.    wt: 21:   Triangle Angles Sum To 180 Degrees
  237.    wt: 21:   1 Straight Lines Slope Concept
  238.    wt: 21:   22 sine of 22.5 degrees via half angle formulas
  239.    wt: 21:   10 Similarity of Triangles Equivalent of Two Criteria
  240.    wt: 21:   8 Distance Between Points on a Line
  241.    wt: 21:   1 Cartesian Coordinates sans signs
  242.    wt: 21:   15 Triangle Angle Sum is 180 degrees
  243.    wt: 21:   12 Side Angle Side Failure
  244.    wt: 21:   3 Isometry of Triangles Congruence
  245.    wt: 21:   5 Drawing to Scale Avoids Angle Distortions
  246.    wt: 21:   3 Lengths and Areas on Maps and Plans
  247.    wt: 21:   5 Proportionality in Equivalent Fractions
  248.    wt: 21:   2 Computation Rules Evaluation
  249.    wt: 21:   1 Formulas Dependence and Function Notation
  250.    wt: 21:   5 Gaussian Elimination for 3 unknowns 2nd example
  251.    wt: 21:   2 Essentially one exercises three with solution
  252.    wt: 21:   8 Compound Interest Formula Evaluation
  253.    wt: 21:   3 Triangle Area Formula Example
  254.    wt: 21:   1 Written work formats for developing and showing skill
  255.    wt: 21:   2 Counting with Tables and Trees I
  256.    wt: 21:   6 Simplification of Fractions with Units
  257.    wt: 21:   8 Numerals Fractionals Quantals Take II
  258.    wt: 21:   24 Divisibility Tests for 2 3 5 9 10
  259.    wt: 21:   Long Division Backwards more
  260.    wt: 21:   Long Division Backward
  261.    wt: 21:   10 Division by Five Long and Short Ways
  262.    wt: 21:   4 Division with 2 Digit Divsors
  263.    wt: 21:   3 Division Single Digit Divisor Example
  264.    wt: 21:   3 More One Digit Multipliers
  265.    wt: 21:   9 Comparison and Subtraction of Time Intervals
  266.    wt: 21:   8 Addition of Time Intervals via subtotaling
  267.    wt: 21:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  268.    wt: 21:   7 Games and Activities for Instruction
  269.    wt: 21:   5 Interpreting and Drawing Maps and Plans.
  270.    wt: 21:   3 Telling Tracking Time Temporal and More Place Sense
  271.    wt: 21:   1 From Number Recognition and Counting to Arithmetic A
  272.    wt: 20:   C LAMP Introduction Culture in Mathematics Education
  273.    wt: 20:   three goals for Mathematics Education
  274.    wt: 20:   9 Formulas for Real Exponents with Logarithms
  275.    wt: 20:   6 Formulas for Even and Odd Roots with Logarithms
  276.    wt: 20:   15 cosecant function Definition Graph and Inverse
  277.    wt: 20:   1 Degrees and Radians Introduction
  278.    wt: 20:   14 Why Scalar Multiplication Distributes Physical Argument
  279.    wt: 20:   4 graphing y=Asin(x c)
  280.    wt: 20:   1 graphing y=f(x a)
  281.    wt: 20:   25 tangent double angle formula Slope connection
  282.    wt: 20:   Right Triangle and Unit Circle Trigonometry
  283.    wt: 20:   9 Pythagorean Theorem Chinese Square Proof
  284.    wt: 20:   4 Polar Coordinates to and from
  285.    wt: 20:   3 Rectangular Coordinates Review
  286.    wt: 20:   13 Angle Side Angle Failure
  287.    wt: 20:   10 Dropping a perpendicular to line
  288.    wt: 20:   8 Isoceles Triangles
  289.    wt: 20:   Short Course on Euclidean Geometry
  290.    wt: 20:   4 Angles on Maps Plans drawn to scale
  291.    wt: 20:   15 Head to Tails in place Addition Associative
  292.    wt: 20:   2 Addition and Multiplication Axioms
  293.    wt: 20:   5 Greater More Less Than Signs in General
  294.    wt: 20:   3 Gaussian Elimination 3 unknowns first example
  295.    wt: 20:   4 Four Examples Fractional Coefficients
  296.    wt: 20:   2 Three Examples
  297.    wt: 20:   7 Compound Interest Formula Introduction
  298.    wt: 20:   4 Counting with Trees Product Rule Take I
  299.    wt: 20:   3 Counting with Tables and Trees II
  300.    wt: 20:   2 Equality and Units
  301.    wt: 20:   17 Efficient Ways to Add and Subtract
  302.    wt: 20:   16 Addition Subtraction Comparision Compared
  303.    wt: 20:   15 Adding and Subtracting with Unlike Denominators
  304.    wt: 20:   14 Adding and Subtracting with Like Denominators
  305.    wt: 20:   2 Unit Fraction Multiplication
  306.    wt: 20:   27 Divisibility by 2 3 6 5 9 10 Example
  307.    wt: 20:   23 Remainder Arithmetic Modulo 2
  308.    wt: 20:   22 Remainder Arithmetic Modulo 3 more
  309.    wt: 20:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  310.    wt: 20:   18 Remainder Arithmetic Rule of 9 for checking sums II
  311.    wt: 20:   16 Remainder Arithmetic Modulo 9 Example 2
  312.    wt: 20:   12 Remainder Arithmetic Modulo 10 Example
  313.    wt: 20:   9 Remainder Arithmetic Divisibility by 5
  314.    wt: 20:   8 Remainder Arithmetic Morulo 5 Examples II
  315.    wt: 20:   4 Remainder Arithmetic Modulo 10 in general
  316.    wt: 20:   3 Remainder Arithmetic Modulos 10 more still
  317.    wt: 20:   2 Remainder Arithmetic Modulo 10 more
  318.    wt: 20:   7 Calculator Usage Notes and Cautions
  319.    wt: 20:   9 Why Long Division Works Take II
  320.    wt: 20:   B Powers of Ten
  321.    wt: 20:   1 Why 3 times 5 gives 15
  322.    wt: 20:   11 Place Value SI Standard International way
  323.    wt: 20:   2 Groups of Three Place Value for Multidigit Decimals
  324.    wt: 20:   012 Division of Time Intervals by Time Intervals
  325.    wt: 20:   2 Time and Date Matters in School
  326.    wt: 20:   3 Motivation for Limit Definition Take 2
  327.    wt: 20:   2 Motivation for Limit Definition Take 1
  328.    wt: 20:   12 Limits with Parameters and Derivatives Take I
  329.    wt: 20:   Chapter 2 For and Against Mathematics
  330.    wt: 20:   Chapter 4 Logic for Reading Writing and Geometry etc
  331.    wt: 20:   4 Money Matters Saving Earning Buying Selling and Budgets
  332.    wt: 20:   1 From Number Recognition and Counting to Arithmetic B
  333.    wt: 20:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  334.    wt: 20:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  335.    wt: 19:   5 logarithms and exponentials etc
  336.    wt: 19:   2 arithmetic with signed numbers
  337.    wt: 19:   three aims for mathematics students
  338.    wt: 19:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  339.    wt: 19:   2 Square Root Simplification a prequel
  340.    wt: 19:   1 Calculator Starter Exercises
  341.    wt: 19:   14 secant function Definition Graph and Inverse
  342.    wt: 19:   13 cosecant function Definition Graph and Inverse
  343.    wt: 19:   8 Radian Measures of Common Angles
  344.    wt: 19:   6 Radian Measure to Degrees
  345.    wt: 19:   5 Degrees to Radian Measure
  346.    wt: 19:   7 Coordinate Addition and Scalar Multiplication
  347.    wt: 19:   3 graphing y=f(x c) plus K
  348.    wt: 19:   30 unit circle calculation of six trigonometric functions
  349.    wt: 19:   24 tangent Angle Difference Formula
  350.    wt: 19:   19 Pythagorean Identity For sine and cosine functions
  351.    wt: 19:   17D cis formulas for sine cosines and tangent
  352.    wt: 19:   16 Right Triangle Complementary Angle Relations
  353.    wt: 19:   11 tangent function undefined when terminal side vertical
  354.    wt: 19:   7 Trignometric Ratios Unit Circle
  355.    wt: 19:   6 Trigonometry Sines of Supplementary Angles
  356.    wt: 19:   3 Trigonometric Ratios sine and cosine
  357.    wt: 19:   9 Similarity of Triangles Usual Criteria
  358.    wt: 19:   4 Similarity Definition with Coordinate
  359.    wt: 19:   7 Exercises to test skill and concept mastery
  360.    wt: 19:   11 Triangle Inequality
  361.    wt: 19:   Euclidean Geometry Elsewhere LINKS
  362.    wt: 19:   7 Angle Side Angle
  363.    wt: 19:   8 More Use of Maps Not Drawn to Scale
  364.    wt: 19:   6 Figuring with Maps Not to Scale
  365.    wt: 19:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  366.    wt: 19:   14 Vector Head to Tail Sums and Resultants
  367.    wt: 19:   1 What is Proportionality
  368.    wt: 19:   9 Circle Area and Perimeter Formula Backwards Forwards
  369.    wt: 19:   4 Comparison of Negative Numbers
  370.    wt: 19:   3 More and Less Than with Unlike Signs
  371.    wt: 19:   4 Solving a triangular system exercise
  372.    wt: 19:   5 Algebraic Solutions Introduction
  373.    wt: 19:   2 Three Examples
  374.    wt: 19:   13 Naming Identifying Formulas with Words
  375.    wt: 19:   4 Circle Area Formula Example
  376.    wt: 19:   1 More and Less Than for Counts and Measures
  377.    wt: 19:   2 Least Common Multiple LCM intro via list method
  378.    wt: 19:   3 signed coordinates for maps and planes
  379.    wt: 19:   4 Fractions with Units
  380.    wt: 19:   B Fractions and Two Term Ratios
  381.    wt: 19:   21 Reciprocals for Fractions and Wholes
  382.    wt: 19:   7 Numerals Fractionals Quantals
  383.    wt: 19:   6 Multiplication Algebraically Take II
  384.    wt: 19:   1 What is a fraction Take II
  385.    wt: 19:   26 Divisibility by 2 3 5 Example
  386.    wt: 19:   21 Remainder Arithmetic Modulo 3
  387.    wt: 19:   19 Remainder Arithmetic Rule of 9 for checking sums III
  388.    wt: 19:   17 Remainder Arithmetic Rule of 9 for checking sums I
  389.    wt: 19:   15 Remainder Arithmetic Modulo 9 Example
  390.    wt: 19:   14 Remainder Arithmetic Modulo 9 Example
  391.    wt: 19:   13 Remainder Arithmetic Modulo 5 Example
  392.    wt: 19:   11 Remainder Arithmetic Long Division by 5 Quickly more
  393.    wt: 19:   10 Remainder Arithmetic Long Division by 5 Quickly
  394.    wt: 19:   7 Remainder Arithmetic Modulo 5 Examples I
  395.    wt: 19:   6 Remainder Arithmetic Modulo 5 Propertie
  396.    wt: 19:   5 Remainder Arithmetic Modulo 5
  397.    wt: 19:   1 Remainder Arithmetic Modulo 10
  398.    wt: 19:   18 video Count Factors given Prime Factorization
  399.    wt: 19:   15 video Factors of 20 using Prime Factorization
  400.    wt: 19:   10 video Prime Factorization upto 23 squared
  401.    wt: 19:   5 Prime Factorization and a Square Rule
  402.    wt: 19:   5 Long Division Include Zeroes or not
  403.    wt: 19:   1 Divsion Physical Examples
  404.    wt: 19:   010 Repeated Addition of Time Intervals
  405.    wt: 19:   Example 1. Area Between x and x squared
  406.    wt: 19:   38 Formulas and derivatives for powers and roots
  407.    wt: 19:   7 Animated Differentiation Examples
  408.    wt: 19:   13 Limits with Parameters and Derivatives Take II
  409.    wt: 19:   Chapter 29 Contrapositive and Vacuously True Implications
  410.    wt: 19:   Postscript C Consistency as a Tool for Reason
  411.    wt: 19:   Chapter 16 Origins and Limitations of Rules and Patterns
  412.    wt: 19:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  413.    wt: 18:   10 statistics
  414.    wt: 18:   9 combinatorics probability sets
  415.    wt: 18:   8 analytic geometry etc
  416.    wt: 18:   7 logic review and decimals an odd combination
  417.    wt: 18:   Math Ed if it must be short make it lean effective
  418.    wt: 18:   Applied Maths Program14092009 POMME variant
  419.    wt: 18:   02 20 mathematics education references
  420.    wt: 18:   9 motivation for name arcsin
  421.    wt: 18:   5 Swapping Coordinates is a reflection
  422.    wt: 18:   4 possible motivation for term arccos
  423.    wt: 18:   17 tangent function angle sum formulas
  424.    wt: 18:   33 sines and cosines of 2A 3A 4A 5A
  425.    wt: 18:   26 Formulas for products of sines and cosines
  426.    wt: 18:   21 sine and cosine Half Angle Formulas
  427.    wt: 18:   17E Trig Formulas for dot and cross Products
  428.    wt: 18:   12 Graph of tangent function for one period
  429.    wt: 18:   Right Triangle and Unit Circle Trigonometry
  430.    wt: 18:   12 cis formulas for sine cosines and tangent
  431.    wt: 18:   8 Triangles Cascade Problem Solving
  432.    wt: 18:   12 Triangles Similarity More Problems
  433.    wt: 18:   5 Similarity of Circles Squares and Rectangles
  434.    wt: 18:   2 point slope equation for a line
  435.    wt: 18:   5 Side Angle Side
  436.    wt: 18:   2 Measuring Area Directly
  437.    wt: 18:   17 Arrows Rotate to Reverse with Length Unchanged
  438.    wt: 18:   3 Proportionality Examples
  439.    wt: 18:   8 Pythagorean Relation Forwards Backwards
  440.    wt: 18:   4 Rectangle Area and Like Formulas Backwards
  441.    wt: 18:   6 Equations and Systems Equivalent or Implied
  442.    wt: 18:   4 Subtraction and Division Axioms
  443.    wt: 18:   1 Real Numbers Comparison
  444.    wt: 18:   4 GE III Animated Examples
  445.    wt: 18:   2 GE II Comparison
  446.    wt: 18:   1 GE Substitution four examples
  447.    wt: 18:   3 Solving triangular system example
  448.    wt: 18:   6 Algebraic Solution Example
  449.    wt: 18:   Skill Development Notes
  450.    wt: 18:   9 Three Examples
  451.    wt: 18:   7 Two Examples
  452.    wt: 18:   6 Three Examples
  453.    wt: 18:   5 Three Examples
  454.    wt: 18:   4 Two Examples
  455.    wt: 18:   3 Two Examples
  456.    wt: 18:   2 More and Less Than with Unlike Signs
  457.    wt: 18:   1 Counting and Counting Methods I
  458.    wt: 18:   7 Converting or Changing Units
  459.    wt: 18:   3 Multiplying Units and Numbers
  460.    wt: 18:   10 Simplification of Fractions and Mixed Numerals
  461.    wt: 18:   3 Unit fraction of a fraction
  462.    wt: 18:   20 Uniqueness of Prime Factorization
  463.    wt: 18:   9 video Prime Factorization upto 19 squared
  464.    wt: 18:   4 video Prime Factorization Introduction
  465.    wt: 18:   2 Prime and Composites less than 16
  466.    wt: 18:   1 video how Products are bigger than factor
  467.    wt: 18:   1 Intro of Kids To Time Date Skills
  468.    wt: 18:   Area Between Crossing Curves Lesson Take 2
  469.    wt: 18:   Area Between Curves Lesson Take 2
  470.    wt: 18:   28 Chain Rule Preparation for a Proof
  471.    wt: 18:   25 Chain Rule Animated Examples Continued
  472.    wt: 18:   7 Evaluation by immediate or delayed substitution
  473.    wt: 18:   Chapter 25. Mathematical Induction Examples
  474.    wt: 18:   Chapter 2 Implication Rules Forwards and Backwards
  475.    wt: 18:   Chapter 19 What is in chapters 20 to 24
  476.    wt: 18:   Chapter 14 Deductive and Empirical Views of Mathematics
  477.    wt: 18:   Chapter 4 Implication Rules Forwards and Backwards
  478.    wt: 18:   V Reasons and Motivations for Logic and Mathematics
  479.    wt: 18:   Appendix A Calculus with Proofs for Keen or Gifted
  480.    wt: 18:   Chapter 7 Calculus Previews and Calculus Lightly
  481.    wt: 18:   Chapter 3 Algebra Starter Lessons
  482.    wt: 18:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  483.    wt: 17:   Appendix 1 primary and preschool mathematic
  484.    wt: 17:   H LAMP Introduction Instructional Concepts
  485.    wt: 17:   E LAMP Introduction Modern Mathematics
  486.    wt: 17:   B LAMP Introduction Curriculum Development Standards
  487.    wt: 17:   11 pure mathematics
  488.    wt: 17:   1 arithmetic with unsigned numbers
  489.    wt: 17:   04 25 when to stop or suspend mathemat
  490.    wt: 17:   Education in mathematics science and technology
  491.    wt: 17:   Ages 12 to 14 Skills with take home value
  492.    wt: 17:   sign monoticity analysis example 2
  493.    wt: 17:   25 Absolute Value greatest integer and saw tooth functions
  494.    wt: 17:   10 Exponential Growth and Decay Models
  495.    wt: 17:   12 From Applied To Pure Mathematics
  496.    wt: 17:   35 sines and cosines of 2A 3A 4A 5A
  497.    wt: 17:   34 sines and cosines of 2A 3A 4A 5A
  498.    wt: 17:   27 Logarithmic use of products of sines and cosines
  499.    wt: 17:   23 sine and cosine of 180 plus 22.5 degrees
  500.    wt: 17:   17A The complex number valued trig function cis
  501.    wt: 17:   14 cosine even and sine and tangent are odd
  502.    wt: 17:   13 Graph of tangent function many periods
  503.    wt: 17:   1 Unit Points Reflections Rotations
  504.    wt: 17:   1 Angle Measurement with Degrees
  505.    wt: 17:   11 Triangle Similarity Missing Side Problem
  506.    wt: 17:   8 Similarity of Triangles and Polygons
  507.    wt: 17:   3 Similarity by Design with coordinates
  508.    wt: 17:   7 Complex Numbers Appetizer
  509.    wt: 17:   4 Side Side Side
  510.    wt: 17:   A Measurement with Ruler Proper Use
  511.    wt: 17:   25 Mid way Convergence to Axiomatic Approach
  512.    wt: 17:   23 Distributive Law Two Derivations
  513.    wt: 17:   B Decimal Comparison and Subtraction
  514.    wt: 17:   4 Commutative Law Groups Counting Form
  515.    wt: 17:   2 Combing Counts Addition Skills and Principles
  516.    wt: 17:   4 Fraction Operations Axiomatic Development
  517.    wt: 17:   2 Algebraic View
  518.    wt: 17:   5 Triangle Area Formula Backwards
  519.    wt: 17:   1 Equivalent Computation Rules
  520.    wt: 17:   5 Independent versus Dependent Variables
  521.    wt: 17:   4 Changing Letters
  522.    wt: 17:   1 Proper Equal Sign Usage
  523.    wt: 17:   10 One Example
  524.    wt: 17:   8 One Example
  525.    wt: 17:   5 Box Volume Formula Example
  526.    wt: 17:   9 Sets in Probability and Statistics
  527.    wt: 17:   4 Greater More Less Than Signs in General
  528.    wt: 17:   1 Squares and Square Roots Introduction
  529.    wt: 17:   10 Euclid Algorithm with 129 125 and with 45 14
  530.    wt: 17:   2 signed and unsigned numbers as coordinates
  531.    wt: 17:   22 Complex Compound Fractions
  532.    wt: 17:   20 Dividing Fractions the Why
  533.    wt: 17:   13 Fraction Comparison Algebraic View
  534.    wt: 17:   12 Fraction Comparison
  535.    wt: 17:   4 Fraction Multiplication
  536.    wt: 17:   1 What is a fraction
  537.    wt: 17:   A Associative Law Theorectical Note
  538.    wt: 17:   17 Identify and Count Factors using Primes
  539.    wt: 17:   14 video Factors of 24 Take II
  540.    wt: 17:   8 video Prime Factorization upto 19
  541.    wt: 17:   6 Sieve of Eratosthenes and Square Rule
  542.    wt: 17:   3 video Primes and Composites from 9 times table
  543.    wt: 17:   Practical Methods Ends and Values for Arithmetic
  544.    wt: 17:   016 Numbering Occidental Calendar Days
  545.    wt: 17:   015 School and work day counting tables
  546.    wt: 17:   014 Counting Days with Calendars
  547.    wt: 17:   013 Travel Time Tables
  548.    wt: 17:   7 Addition of Time Intervals
  549.    wt: 17:   Area Between Crossing Curves Lesson Take 1
  550.    wt: 17:   Area Between Curves Lesson Take 1
  551.    wt: 17:   A Chain Rule Real Player video examples
  552.    wt: 17:   36 Cube root derivative animated
  553.    wt: 17:   24 Chain Rule Animated Examples
  554.    wt: 17:   Chapter 26 What is in chapters 27 to 31
  555.    wt: 17:   Chapter 14. Forward and Backward Use of a Formula
  556.    wt: 17:   Chapter 24 Direct and Indirect Reason
  557.    wt: 17:   Chapter 23 Truth Tables
  558.    wt: 17:   Chapter 17 Objective Ways Trial and Error Discovery
  559.    wt: 17:   Chapter 12 Islands and Divisions of Knowledge
  560.    wt: 17:   Chapter 11 Accidental Patterns
  561.    wt: 17:   Chapter 6 More Algebra and Geometry
  562.    wt: 17:   Chapter 2 Why Sets
  563.    wt: 17:   Chapter 1 Arithmetic
  564.    wt: 17:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  565.    wt: 17:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  566.    wt: 16:   Appendix 2 primary school Arithmetic 01
  567.    wt: 16:   I LAMP Introduction Study Habits
  568.    wt: 16:   Skills Chapter 2 Geometry
  569.    wt: 16:   Skills Chapter 1 Arithmetic
  570.    wt: 16:   3 Euclidean Geometry Leanly
  571.    wt: 16:   three goals to set for students
  572.    wt: 16:   Secondary Three Mathematics
  573.    wt: 16:   Secondary Two Mathematics
  574.    wt: 16:   talk the algebra talk
  575.    wt: 16:   teaching tutoring algebraic reason
  576.    wt: 16:   standards for course material
  577.    wt: 16:   mathematics instruction in general
  578.    wt: 16:   three kinds of reason in mathematics
  579.    wt: 16:   education an empirical art
  580.    wt: 16:   fairness and inductive principles for instruction
  581.    wt: 16:   words for mathematics instructor
  582.    wt: 16:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  583.    wt: 16:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  584.    wt: 16:   A Global Time and Navigation
  585.    wt: 16:   5 Head To Tail Arrow Addition
  586.    wt: 16:   32 seven rows of pascals triangle
  587.    wt: 16:   20 sine and cosine Double Angle Formulas
  588.    wt: 16:   18 sum of sinusoidal waves as a single wave
  589.    wt: 16:   17C sine and cosine double triple angle formulas
  590.    wt: 16:   17B sine cosine Angle Sum Formulas via cis
  591.    wt: 16:   15 sine cosine Complementary Angle Relations
  592.    wt: 16:   2 Quadrant I reference Angles
  593.    wt: 16:   Why Trigonometry the whyslopes view
  594.    wt: 16:   6 Geometric Diagrams in Class
  595.    wt: 16:   2 Similarity By Design
  596.    wt: 16:   1 Early Concept of Like or Similar Shapes
  597.    wt: 16:   11 A Partial Summary
  598.    wt: 16:   9 Midpoint Coordinates Half Endpoint Sum
  599.    wt: 16:   4 Equations for lines three forms
  600.    wt: 16:   1 Numerical view of lines and their equations
  601.    wt: 16:   What is and is not here
  602.    wt: 16:   1 Length Measurement
  603.    wt: 16:   A Modular and Remainder Arithmetic
  604.    wt: 16:   26 More Less Greater Than Comparison
  605.    wt: 16:   21 Addition of Multiples of a Single Vector
  606.    wt: 16:   18 Geometrically Why Vector Addition Commutes
  607.    wt: 16:   11 Signed Number Addition and Addition Properties
  608.    wt: 16:   9 Division with Digits after Decimal Point
  609.    wt: 16:   7 Arithmetic with Infinite Decimal Expansions
  610.    wt: 16:   3 Location of Point in Decimal Multiplication
  611.    wt: 16:   2 Counting Digits in Decimal Multiplication
  612.    wt: 16:   C Three Decimal Subtraction Methods
  613.    wt: 16:   7 Decimals Multiplication Methods Examples
  614.    wt: 16:   6 Column Methods for Decimal Multiplication
  615.    wt: 16:   2 Fraction Operations Physical Development
  616.    wt: 16:   1 Decimals Modular and Remainder Arithmetic
  617.    wt: 16:   6 Compound Interest Forward and Backwards
  618.    wt: 16:   2 Linear Equation Literal Solution
  619.    wt: 16:   3 Product Axioms Two Forms
  620.    wt: 16:   3 Four Examples
  621.    wt: 16:   Using Letters for Physical Quantities
  622.    wt: 16:   12 Cone Cylinder Sphere Lesson Idea
  623.    wt: 16:   3 Comparison of Negative Numbers
  624.    wt: 16:   3 Properties of Square Roots with example
  625.    wt: 16:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  626.    wt: 16:   1 Least Common Multiples LCM Introduction
  627.    wt: 16:   11 What are real lengths and numbers
  628.    wt: 16:   7 negative and additive inverse
  629.    wt: 16:   D Three Term Ratios
  630.    wt: 16:   19 Dividing Fractions How TO
  631.    wt: 16:   18 Efficient Ways to Multiply
  632.    wt: 16:   11 Simplification an Algebraic View
  633.    wt: 16:   5 Equivalent Fractions
  634.    wt: 16:   19 video Prime Factorization Unique
  635.    wt: 16:   9 Place Value Review Decimal form of Avogrados number included
  636.    wt: 16:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  637.    wt: 16:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  638.    wt: 16:   5 More on Groups of 3 Place Value in Decimal Fractions
  639.    wt: 16:   4 Groups of 3 Place Value in Decimal Fractions
  640.    wt: 16:   011 Division of Time Intervals By Numbers
  641.    wt: 16:   4 Mixing and Changing Units of Time
  642.    wt: 16:   3 Units and Lengths of Time
  643.    wt: 16:   34 Derivative of exponential function
  644.    wt: 16:   29 Chain Rule Optional Reading
  645.    wt: 16:   27 Chain Rule sinusoidal outer inner functions EGS
  646.    wt: 16:   26 Chain Rule Recognising outer inner functions
  647.    wt: 16:   22 Chain Rule for polynomials
  648.    wt: 16:   17 Derivatives of quotients of sine and cosine
  649.    wt: 16:   16 Derivatives of reciprocals of sine and cosine
  650.    wt: 16:   14 sine and cosine derivatives 2nd step
  651.    wt: 16:   13 sine and cosine derivatives 1st step
  652.    wt: 16:   10 Power rule for negative integers
  653.    wt: 16:   8 Differentiation of polynomials
  654.    wt: 16:   11 Limits at infinity Three Examples
  655.    wt: 16:   3 Decimal insights for limits continuity convergence
  656.    wt: 16:   G.2 Lipshitz Conditions Integration Calculus Reform
  657.    wt: 16:   Chapter 9 Talking about Numbers or Quantities
  658.    wt: 16:   Chapter 1 Introduction to Chapters 2 to 6
  659.    wt: 16:   Postscript B More on Story Telling and Reason
  660.    wt: 16:   Chapter 20 Shorthand Symbols as Pronouns
  661.    wt: 16:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  662.    wt: 16:   Chapter 9 What is in Chapters 10 to 18
  663.    wt: 16:   Chapter 3 What is in chapters 4 to 8
  664.    wt: 16:   Chapter 8 Skipped Topics and Why
  665.    wt: 15:   F LAMP Introduction Prerequisites
  666.    wt: 15:   Ramblings Introduction Algebra Essay
  667.    wt: 15:   Skills Chapter 0 Introduction
  668.    wt: 15:   6 polynomials etc
  669.    wt: 15:   What is POMME
  670.    wt: 15:   Teach the teachers plus goals
  671.    wt: 15:   activities for students
  672.    wt: 15:   Mathematics Education Professors
  673.    wt: 15:   grouping students according to ability
  674.    wt: 15:   mathematics in context
  675.    wt: 15:   Secondary One Mathematics
  676.    wt: 15:   What to Tell Students
  677.    wt: 15:   mathematics curriculum shifts
  678.    wt: 15:   geometric implications for algebra
  679.    wt: 15:   the trouble with algebra
  680.    wt: 15:   04 29 New Mathematics Curriculum
  681.    wt: 15:   02 21 words for teachers
  682.    wt: 15:   Operational Viewpoint to Value
  683.    wt: 15:   How to be a better instructor
  684.    wt: 15:   Motivation and Context Problem
  685.    wt: 15:   need for a mixed mathematics curriculum
  686.    wt: 15:   2 Conductance Resistance Duality02
  687.    wt: 15:   22 Student Centered Highschool Mathematics
  688.    wt: 15:   Ages 12 to 14 Arithmetic
  689.    wt: 15:   sign monoticity analysis example 4
  690.    wt: 15:   sign monoticity analysis example 3
  691.    wt: 15:   sign monoticity analysis example 1
  692.    wt: 15:   9 quadratics physical and further context
  693.    wt: 15:   8 quadratics backward use of various formulas
  694.    wt: 15:   11 Growth and Decay in Biology
  695.    wt: 15:   8 arcsin left inverse of sine Graph
  696.    wt: 15:   7 arcsin left inverse of sine Definition
  697.    wt: 15:   6 Graph of arccos function
  698.    wt: 15:   3 Left Inverse of cosine arccos definition
  699.    wt: 15:   2 cosine function more properties
  700.    wt: 15:   10 Parallelogram Addition Method
  701.    wt: 15:   9 Head to Tail Coordinate View
  702.    wt: 15:   3 Navigation with Arrows or Vectors
  703.    wt: 15:   28 Expressing products of sines cosines as sums
  704.    wt: 15:   17G Pythagorean Theorem Converse
  705.    wt: 15:   8 period of tangent function
  706.    wt: 15:   5 sines and cosines for reference angle 60 degrees
  707.    wt: 15:   Unit Circle Development of Trigonometry
  708.    wt: 15:   21 Logarithms Powers and Exponentials
  709.    wt: 15:   13 Trig Formulas for dot and cross Products
  710.    wt: 15:   5 An Easy Proof of the Distributive Law
  711.    wt: 15:   10 Midpoint of [a b] and [b a]
  712.    wt: 15:   6 Intersection of lines by solving linear systems
  713.    wt: 15:   16 Collinear Horizontal Arrows Vectors
  714.    wt: 15:   13 Arrows and Vectors in a Plane
  715.    wt: 15:   8 Division and Mulplication of Compound Fractions
  716.    wt: 15:   5 Fractions with Infinite Decimal Expansions
  717.    wt: 15:   4 Location of Point in Decimal Addition
  718.    wt: 15:   1 Fractions with Finite Decimal Expansions
  719.    wt: 15:   A Decimal Addition Columm Methods
  720.    wt: 15:   8 Column Multiplication Methods in General
  721.    wt: 15:   5 Distributive Law for Whole Numbers
  722.    wt: 15:   3 Multiplicative Counting Skills Principles
  723.    wt: 15:   5 Areas of Rectangles Revisited
  724.    wt: 15:   3 Linear Equation Literal Solution More
  725.    wt: 15:   5 Equality in Algebra
  726.    wt: 15:   1 Essentially One Unknown
  727.    wt: 15:   Formula Usage Show Work Format
  728.    wt: 15:   10 Volume of Pyramid
  729.    wt: 15:   arithmetic videos Real Player Format
  730.    wt: 15:   5 Square Roots with primes more still
  731.    wt: 15:   2 Square Roots with Prime
  732.    wt: 15:   16 GCD and LCM of 650 225 via Prime
  733.    wt: 15:   11 GCD 2700 288 via Euclid Algorithm
  734.    wt: 15:   7 GCD and LCM from prime factorization
  735.    wt: 15:   4 signed coordinates for regions in space
  736.    wt: 15:   21 Working With Signs
  737.    wt: 15:   9 Improper Fractions and Mixed Numbers
  738.    wt: 15:   6 Multiplication of Mixed Numbers
  739.    wt: 15:   13 Subtraction with Additive Inverse
  740.    wt: 15:   2 Integers Multiplies of a Unit Moverment
  741.    wt: 15:   13 video Factors of 24 using prime
  742.    wt: 15:   12 LCD GCD and LCM using Primes
  743.    wt: 15:   10 Names for Big Numbers and Powers of Ten Expansion
  744.    wt: 15:   3 More on Groups of 3 Multi Digit Place Value
  745.    wt: 15:   Exact Arithmetic Wholes and Fractions
  746.    wt: 15:   5 Conversion Arithmetic
  747.    wt: 15:   Example 2 volume of a cone
  748.    wt: 15:   Example 1 volume of a pyramid
  749.    wt: 15:   Example 4 with x function of y
  750.    wt: 15:   4 Definite Integrals Evaluation Exercises
  751.    wt: 15:   1 Two cubic sketching exercises with 1st derivative
  752.    wt: 15:   33 Chain Rule Real Player video examples
  753.    wt: 15:   21 Chain Rule for powers
  754.    wt: 15:   20 Chain Rule for Pulley Systems
  755.    wt: 15:   19 Chain Rule for linear functions
  756.    wt: 15:   15 sine and cosine derivatives 3rd step
  757.    wt: 15:   12 Quotient rule examples
  758.    wt: 15:   6 Continuity at a point
  759.    wt: 15:   Chapter 19. Exponentials and Natural Logarithms
  760.    wt: 15:   Chapter 14 Limits and Continuity with and sans Decimals
  761.    wt: 15:   Appendix E. How To Study Mathematics and Why
  762.    wt: 15:   Chapter 24. Personal Investment and Pension EGS
  763.    wt: 15:   Chapter 23. Notation For Sums
  764.    wt: 15:   Chapter 22. Geometric Sums and Sequences
  765.    wt: 15:   Chapter 7 Prep for Calculus Arithmetic Exercises
  766.    wt: 15:   Annotated Links to Material Elsehwere
  767.    wt: 15:   Postscript B Mathematics Education References
  768.    wt: 15:   Chapter 7 Two Treatments of Geometry
  769.    wt: 15:   Chapter 6 Rule Based Reason in Mathematics
  770.    wt: 15:   Postscript D Reflections on Law of the Excluded Middle
  771.    wt: 15:   Postscript A Story Telling
  772.    wt: 15:   Chapter 21 Occurrence Tables
  773.    wt: 15:   Multiple Ways to Improve Mathematics Skill Development
  774.    wt: 15:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  775.    wt: 14:   J LAMP Introduction Extrinsic Origins
  776.    wt: 14:   G LAMP Introduction Problem Solving Skills
  777.    wt: 14:   A Introduction Objectives
  778.    wt: 14:   Skills Chapter 5 Calculus
  779.    wt: 14:   Skills Chapter 3 Algebra
  780.    wt: 14:   4 algebra
  781.    wt: 14:   About site lesson plans
  782.    wt: 14:   teacher certification
  783.    wt: 14:   learning takes time
  784.    wt: 14:   Education Reform Inconsistencies
  785.    wt: 14:   Maps Plans Drawings
  786.    wt: 14:   how letters appear
  787.    wt: 14:   teaching tips
  788.    wt: 14:   05 13 OldSiteEntrancePage
  789.    wt: 14:   Four ways to improve education reform
  790.    wt: 14:   Leaner mathematics curriculum
  791.    wt: 14:   Prequel In For A Penny In For A Pound
  792.    wt: 14:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  793.    wt: 14:   27 Graduated Correction and Penalties for Young Offenders
  794.    wt: 14:   25 Mathematics Education Leaving A Good Impression
  795.    wt: 14:   12 Goals and Objectives For Mathematics
  796.    wt: 14:   Ages 10 to 12 Arithmetic
  797.    wt: 14:   5 Function notation for geometric transformations
  798.    wt: 14:   7 quadratic formulla derivation
  799.    wt: 14:   6 Polynomial Operations and Equivalent Computation Rules
  800.    wt: 14:   1 cosine function properties
  801.    wt: 14:   4 Resultant of a Sum of Movements
  802.    wt: 14:   10 Graphs of sines and cosines many periods
  803.    wt: 14:   6 sines and cosines for reference angle 30 degrees
  804.    wt: 14:   4 sines and cosines for reference angle 45 degrees
  805.    wt: 14:   3 sines and cosines for reference angle 90 degrees
  806.    wt: 14:   7 Second Way to Calculate Products
  807.    wt: 14:   1 Rectangular Polar Coordinates Review
  808.    wt: 14:   8 Mid Point Formula
  809.    wt: 14:   3 Slope product for perpendicular lines
  810.    wt: 14:   24 Signed Numbers Arithmmetic Properties
  811.    wt: 14:   22 Multiplication of Signed Numbers
  812.    wt: 14:   12 Real Numbers Line Signed Coordinates
  813.    wt: 14:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  814.    wt: 14:   7 Pythagorean Theorem Chinese Square Proof
  815.    wt: 14:   12 Real Number Additive Inverses or Negatives
  816.    wt: 14:   8 Coordinates for Maps and Planes
  817.    wt: 14:   11 Volume of Sphere
  818.    wt: 14:   9 Volume of Cone
  819.    wt: 14:   10 Set View of Wordy Extensions To Arithmetic
  820.    wt: 14:   7 Cautious or Safe Set Construction
  821.    wt: 14:   5 Talking about Numbers and Quantities
  822.    wt: 14:   4 Square Roots with primes more
  823.    wt: 14:   13 GCD from given Prime Factorization
  824.    wt: 14:   9 GCD of 360 110 via Primes and Euclid Algorithm
  825.    wt: 14:   8 GCD from Euclidean Algorithm
  826.    wt: 14:   LCM 60 45 Avoid List Method Use Prime
  827.    wt: 14:   12 GCD 2700 288 via Prime
  828.    wt: 14:   9 subtracting signed numbers
  829.    wt: 14:   11 Adding Integers Formulas and Examples
  830.    wt: 14:   10 Integer Multiplication Formulas
  831.    wt: 14:   6 Multiplication by Natural Numbers
  832.    wt: 14:   16 video Factors of 980 using prime
  833.    wt: 14:   11 Efficient Square Rule Use
  834.    wt: 14:   1 Place Value in Three Digit Whole Numbers
  835.    wt: 14:   The 12 Times Table Visually
  836.    wt: 14:   6 How long is a million seconds
  837.    wt: 14:   Example 3
  838.    wt: 14:   Example 2
  839.    wt: 14:   A Related Material in Volume 3
  840.    wt: 14:   1 Chain Rule in Reverse Integration Method
  841.    wt: 14:   31 Derivatives of inverse functions
  842.    wt: 14:   30Chain Rule A Proof
  843.    wt: 14:   23 Chain Rule in general
  844.    wt: 14:   18 Chain Rule Introduction
  845.    wt: 14:   11 Quotient rule
  846.    wt: 14:   1 Fall 1983 Why Slopes Appetizer
  847.    wt: 14:   10 Three one sided limits with infinite values
  848.    wt: 14:   9 Limits Continuity and Composition
  849.    wt: 14:   5 Jumps and absence of unlimited error control
  850.    wt: 14:   2 Algebraic codification
  851.    wt: 14:   PostScript For and Against Decimal Perspectives
  852.    wt: 14:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  853.    wt: 14:   Postscript Pythagorean Theorem yet another proof
  854.    wt: 14:   Chapter 24 Logarithms Powers and Exponentials
  855.    wt: 14:   Postscript For Better Performance
  856.    wt: 14:   Chapter 27 Shorthand Symbols as Pronouns
  857.    wt: 14:   Chapter 20. Degrees and Radians
  858.    wt: 14:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  859.    wt: 14:   Postscript Unifying Theme A Fourth Skill For Algebra
  860.    wt: 14:   Chapter 12. Shorthand Usage Guide
  861.    wt: 14:   Chapter 10 Describing and Changing Calculations
  862.    wt: 14:   Chapter 8 Change of Language
  863.    wt: 14:   Chapter 2 Skill Development
  864.    wt: 14:   P Exact Arithmetic With Whole Numbers and Fractions
  865.    wt: 13:   K LAMP Musings Science Education
  866.    wt: 13:   Skills Chapter 4 Logic
  867.    wt: 13:   Ramblings Extrinsic numbers theory
  868.    wt: 13:   permissions for teachers
  869.    wt: 13:   what should be learnt and When
  870.    wt: 13:   Lessening Algebra Difficulties
  871.    wt: 13:   formal or informal peer review
  872.    wt: 13:   Different Kinds of Reasoning in maths
  873.    wt: 13:   cultivating intelligence
  874.    wt: 13:   chapitre 07 01 principle D induction mathematique
  875.    wt: 13:   B Wire Resistance Qualitative02
  876.    wt: 13:   A Wire Resistance Qualitative01
  877.    wt: 13:   24 Standards For Skill Develoment Take II
  878.    wt: 13:   Ages 12 to 14 Geometry
  879.    wt: 13:   6 Set Existence Formation and Notation
  880.    wt: 13:   6 quadratics numerical approach
  881.    wt: 13:   5 quadratics completing the square
  882.    wt: 13:   3 quadratics factoring by inspection
  883.    wt: 13:   2 quadratics graphing in general
  884.    wt: 13:   6 Vectors with Coordinates
  885.    wt: 13:   2 Signed Coordinates
  886.    wt: 13:   Vector and Complex Number Applet
  887.    wt: 13:   9 Graphs of sine and cosine over one period
  888.    wt: 13:   11 sine and cosine double triple angle formulas
  889.    wt: 13:   10 sine cosine Angle Sum Formulas via cis
  890.    wt: 13:   9 The complex number valued trig function cis
  891.    wt: 13:   Appetizer A Complex Number Applet
  892.    wt: 13:   12 Links Lessons elsewhere
  893.    wt: 13:   A Signed Number Arithmetic Review
  894.    wt: 13:   6 Infinite Decimals Ending in 9 repeating
  895.    wt: 13:   3 Inequalities Algebraically
  896.    wt: 13:   1 Changing Calculations
  897.    wt: 13:   14 GCD of 650 110 via Primes LCM via Product Rule
  898.    wt: 13:   5 lengths and signs of numbers
  899.    wt: 13:   C Divisibility by 11 Integer Recognition Method
  900.    wt: 13:   12 Adding Integers More Examples
  901.    wt: 13:   4 Adding Movements wiht opposite directions
  902.    wt: 13:   3 Adding Movements with same direction
  903.    wt: 13:   8 Review Lesson 1 2 4 and 6 All in One
  904.    wt: 13:   Formula Evaluation how to show work
  905.    wt: 13:   The 20 Times Table
  906.    wt: 13:   Volume of Solid by Cross Sections Lesson
  907.    wt: 13:   Example 1
  908.    wt: 13:   Summary
  909.    wt: 13:   2 Indefinite Integrals Exercises
  910.    wt: 13:   4 Second derivative test exercise example
  911.    wt: 13:   9 Reciprocal rule
  912.    wt: 13:   6 Power rule from product rule
  913.    wt: 13:   5 Product Rule
  914.    wt: 13:   4 Sum Rule
  915.    wt: 13:   8 Four Animated Examples
  916.    wt: 13:   Postscript One Sided and Intermediate Value Theorems
  917.    wt: 13:   Postscript More on Better Performance
  918.    wt: 13:   Appendix A. Reading Guide For Next Appendices
  919.    wt: 13:   Chapter 31 Direct and Indirect Reason
  920.    wt: 13:   Chapter 30 Truth Tables
  921.    wt: 13:   Chapter 28 Occurrence Tables
  922.    wt: 13:   Chapter 21. Third Reading Guide
  923.    wt: 13:   Postscript What is a Variable
  924.    wt: 13:   Chapter 8 Three Skills For Algebra
  925.    wt: 13:   Solutions For Arithmetic Exercises
  926.    wt: 13:   Chapter 5 Islands and Divisions of Knowledge
  927.    wt: 13:   Chapter 11 Elementary Instruction
  928.    wt: 13:   Chapter 7 Longer Chains of Reason
  929.    wt: 13:   Chapter 6 Chains of Reason
  930.    wt: 13:   Chapter 1 Introduction
  931.    wt: 13:   F. The student teacher tutor feedback loop
  932.    wt: 13:   Helping the Blind in Logic and Mathematics
  933.    wt: 13:   Mathematics Education References
  934.    wt: 13:   Mathematics Education References
  935.    wt: 13:   Systematic Algebra Skill Development Missing Links
  936.    wt: 13:   Mathematics Teacher Certification Best Practices
  937.    wt: 12:   key notes and themes
  938.    wt: 12:   Postscript 2007 01 10
  939.    wt: 12:   five decades make a difference
  940.    wt: 12:   three difficulties
  941.    wt: 12:   chapitre 07 00 Des chaines plus longues de la raison
  942.    wt: 12:   chapitre 06 00 Chaines de la raison
  943.    wt: 12:   chapitre 04 10 Etapes pour une meilleur raison
  944.    wt: 12:   chapitre 04 08 Limitations et benefices
  945.    wt: 12:   chapitre 04 07 RepetablesEtReproductibles
  946.    wt: 12:   chapitre 03 A Propos Des Prochains Chapitre
  947.    wt: 12:   chapitre 02 00 La Communication des idees
  948.    wt: 12:   1 Conductance Resistance Duality01
  949.    wt: 12:   D Wire Resistance Calculation02
  950.    wt: 12:   C Electromotive force conventional current02
  951.    wt: 12:   Ages 10 to 12 Geometry
  952.    wt: 12:   22 Square Root function graphically
  953.    wt: 12:   4 Function notation in and beyond mathematics
  954.    wt: 12:   A Quadratics Summary
  955.    wt: 12:   4 quadratics difference of two squares
  956.    wt: 12:   1 quadratics graphing exercises
  957.    wt: 12:   Quadratics in 10 steps
  958.    wt: 12:   Rewriting algebraic substitution as function substitutions
  959.    wt: 12:   15 Dot and Cross Product
  960.    wt: 12:   8 Parallel Vectors
  961.    wt: 12:   17F Law of cosines
  962.    wt: 12:   7 period of sine and cosine
  963.    wt: 12:   20 N th Roots of Complex Numbers
  964.    wt: 12:   16 References and Originality Question
  965.    wt: 12:   15 Pythagorean Theorem Converse
  966.    wt: 12:   8 Unit Circle Development of Trigonometry
  967.    wt: 12:   4 Multiplication Properties
  968.    wt: 12:   2 Complex Numbers made easier we hope
  969.    wt: 12:   Four Simple Exercises
  970.    wt: 12:   5 Algebraic View of Slopes
  971.    wt: 12:   About Folder Contents
  972.    wt: 12:   musings do not puiblish real numbers
  973.    wt: 12:   19 Signed Multiples of Vectors
  974.    wt: 12:   E Long Division Methods more
  975.    wt: 12:   D Long Division Methods
  976.    wt: 12:   1 The Counting Origins of Numbers
  977.    wt: 12:   14 Real Number Multiplication
  978.    wt: 12:   13 Real Number Subtraction
  979.    wt: 12:   6 Power Set Notation
  980.    wt: 12:   5 Product Builder Notation
  981.    wt: 12:   4 Subset Builder Notation
  982.    wt: 12:   3 Counting with Sets etc
  983.    wt: 12:   6 Three Notions of What is a Variable
  984.    wt: 12:   17 GCD LCM of 85 and 60 via Prime
  985.    wt: 12:   5 Common Divisors 60 45 via Prime
  986.    wt: 12:   4 LCM of 8 and 10 via Prime
  987.    wt: 12:   8 multiplying signed numbers
  988.    wt: 12:   6 adding signed numbers
  989.    wt: 12:   8 Multiplication by Signed Numbers Integers
  990.    wt: 12:   5 Zero Movement and Additive Inverses
  991.    wt: 12:   1 Integers as Coordinates
  992.    wt: 12:   3 Two Chain Rule Method Exercises
  993.    wt: 12:   2 Second derivative test prequel
  994.    wt: 12:   1 Numerical introduction
  995.    wt: 12:   G.1 First Fundamental Theorem of Calculus
  996.    wt: 12:   G.6 Bounded Derivatives implies Lipshitz Continuity
  997.    wt: 12:   G.2 Differentiable Functions Mean Value Theorem
  998.    wt: 12:   Chapter 23 Links To Trigonometry
  999.    wt: 12:   Chapter 21 Arrow Addition
  1000.    wt: 12:   Chapter 18. Slopes Areas Integration
  1001.    wt: 12:   Chapter 17. Area Approximation
  1002.    wt: 12:   Chapter 15. Algebraic Evaluation of Limits
  1003.    wt: 12:   Chapter 2. Slopes and Ski Trails
  1004.    wt: 12:   Chapter 19. Functions and Sets
  1005.    wt: 12:   Chapter 15. Solving Linear Equations
  1006.    wt: 12:   Chapter 6 Change of Language
  1007.    wt: 12:   Postscript A Three Remarks
  1008.    wt: 12:   Chapter 12 Four Phases
  1009.    wt: 12:   Chapter 10 Transition
  1010.    wt: 12:   Chapter 18 Sense and Knowledge
  1011.    wt: 12:   Chapter 15 Objective Processes
  1012.    wt: 12:   Chapter 10 Responsibility
  1013.    wt: 12:   Chapter 5 Deception
  1014.    wt: 12:   Three Remarks
  1015.    wt: 12:   N Mathematics Prepare for College Studies
  1016.    wt: 12:   G. Written work formats for developing and showing skill
  1017.    wt: 12:   Ends Values Methods For Skill Development Framework Prequel
  1018.    wt: 11:   why bother
  1019.    wt: 11:   which way to go
  1020.    wt: 11:   links Education Resources online
  1021.    wt: 11:   site eurekas
  1022.    wt: 11:   modern education
  1023.    wt: 11:   chapitre 12 00 les iles et division
  1024.    wt: 11:   chapitre 04 05 Implication versus suggestion
  1025.    wt: 11:   F Wire Resistance Calculation04
  1026.    wt: 11:   E Wire Resistance Calculation03
  1027.    wt: 11:   C Wire Resistance Calculation01
  1028.    wt: 11:   B Electromotive force conventional current01
  1029.    wt: 11:   24 Standards For Skill Develoment
  1030.    wt: 11:   23 Modularized Skill Development Modularized Rigor Take IV
  1031.    wt: 11:   23 Modularized Skill Development Modularized Rigor Take III
  1032.    wt: 11:   23 Modularized Skill Development Modularized Rigor Take II
  1033.    wt: 11:   19 Extending the Oral Dimension of Mathematics
  1034.    wt: 11:   17 Math Booklets for children and young teenagers
  1035.    wt: 11:   16 Secondary Mathematics Tips
  1036.    wt: 11:   14 Multiplication and Times Tables
  1037.    wt: 11:   13 Addition and Addition Tables
  1038.    wt: 11:   4 Learning Takes Time and Effort
  1039.    wt: 11:   24 Monotoncity Injectivity and Inverse Functions
  1040.    wt: 11:   20 Interchanging coordinates a reflection
  1041.    wt: 11:   17 Function maxima minima and their location
  1042.    wt: 11:   10 quadratic exercises
  1043.    wt: 11:   8 Notes for instructors or tutors
  1044.    wt: 11:   3 Polynomials Multiplication Addition
  1045.    wt: 11:   13 Velocity Vectors in Physics
  1046.    wt: 11:   11 Component Method
  1047.    wt: 11:   1 Unsigned Coordinates
  1048.    wt: 11:   19 N th Roots of Unity
  1049.    wt: 11:   18 Sixth Roots of Unity
  1050.    wt: 11:   3 Addition Properties
  1051.    wt: 11:   16 Real Numbers Comparison
  1052.    wt: 11:   11 Real Number Addition
  1053.    wt: 11:   10 Real Number Lengths and Signs
  1054.    wt: 11:   9 Coordinates for Regions in Space
  1055.    wt: 11:   7 Real Numbers as Line Cordinates
  1056.    wt: 11:   1 Whole and Natural Numbers
  1057.    wt: 11:   2 Venn Diagrams
  1058.    wt: 11:   3 Adding Words To Arithmetic
  1059.    wt: 11:   2 What is a Variable
  1060.    wt: 11:   10 dividing signed numbers
  1061.    wt: 11:   B Integer Long Division Multiple Choices
  1062.    wt: 11:   7 Multiplication by Signs
  1063.    wt: 11:   Quick history of numbers and algebra
  1064.    wt: 11:   Expression Evaluation how to show work
  1065.    wt: 11:   About folder contents
  1066.    wt: 11:   5 Area Under Curve Exercise
  1067.    wt: 11:   3 Second derivative test
  1068.    wt: 11:   4 Numerical properties
  1069.    wt: 11:   G.4 Lipschitz Continuity implies EquiContinuity
  1070.    wt: 11:   Chapter 22 Complex Numbers
  1071.    wt: 11:   Chapter 20 Vectors and Complex Numbers
  1072.    wt: 11:   Chapter 16. Velocity Approximation
  1073.    wt: 11:   Chapter 12. Units and Slopes
  1074.    wt: 11:   Chapter 9 About First Courses in Calculus
  1075.    wt: 11:   Chapter 8. Slope Interpretation
  1076.    wt: 11:   Chapter 6. Slopes and Vertical Shifts
  1077.    wt: 11:   Appendix D. What to do in School and Why
  1078.    wt: 11:   Appendix B. How To Learn
  1079.    wt: 11:   Chapter 18. Rules for Algebra
  1080.    wt: 11:   Chapter 16. Painless Theorem Proving
  1081.    wt: 11:   Chapter 11. Why Shorthand
  1082.    wt: 11:   Chapter 4 Longer Chains of Reason
  1083.    wt: 11:   Chapter 3 Chains of Reason
  1084.    wt: 11:   Chapter 9 The Two Ends
  1085.    wt: 11:   Chapter 8 Modern Instruction
  1086.    wt: 11:   Chapter 3 Algebra Difficulties
  1087.    wt: 11:   Chapter 1 Introduction
  1088.    wt: 11:   R Why Learn Mathematics Skills
  1089.    wt: 11:   O On Learning Mathematics and Science
  1090.    wt: 11:   L Skills with take home value
  1091.    wt: 11:   D. Check work a must with a caution
  1092.    wt: 11:   Implementation Notes
  1093.    wt: 11:   More Algebra and Slope based Calculus Preview
  1094.    wt: 10:   website reviews
  1095.    wt: 10:   site origins
  1096.    wt: 10:   Theory of Knowledge
  1097.    wt: 10:   chapitre 04 09 Regles accidentelles
  1098.    wt: 10:   chapitre 04 06 engagements
  1099.    wt: 10:   chapitre 04 04 Parlons de la logique
  1100.    wt: 10:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  1101.    wt: 10:   chapitre 04 00 Les regles d implication
  1102.    wt: 10:   chapitre 01 00 Introduction
  1103.    wt: 10:   Trois Notions qui menent a algebre
  1104.    wt: 10:   3 Like resistors in parallel
  1105.    wt: 10:   2 Unlike resistors in parallel01
  1106.    wt: 10:   9 Streaming by Student Cooperation
  1107.    wt: 10:   6 Discipline Who is in Charge Conserving Authority
  1108.    wt: 10:   5 Patience Please for Yourself and Your Charges
  1109.    wt: 10:   2 Reading and Writing Skills
  1110.    wt: 10:   Ages 9 to 10
  1111.    wt: 10:   Ages 8 to 9
  1112.    wt: 10:   Ages 7 to 8
  1113.    wt: 10:   Ages 6 to 7
  1114.    wt: 10:   Ages 4 plus to 5 plus
  1115.    wt: 10:   Ages 3 plus to 4 plus
  1116.    wt: 10:   21 Graphs of functions given by Horizontal Line Method
  1117.    wt: 10:   11 Function Domain Range Source and Targets
  1118.    wt: 10:   2 Algebraic use of function notation
  1119.    wt: 10:   1 Geometric Introduction of Function Notation
  1120.    wt: 10:   2 Column Multiplication Method
  1121.    wt: 10:   1 Polynomials Distributive Law
  1122.    wt: 10:   17 Cube Roots of unity
  1123.    wt: 10:   15 Real Number Division
  1124.    wt: 10:   5 Rational Numbers More
  1125.    wt: 10:   4 Rational Numbers
  1126.    wt: 10:   More Exercises
  1127.    wt: 10:   Simple Exercises
  1128.    wt: 10:   1 Finite Sets
  1129.    wt: 10:   4 A Brief Story of numbers and algebra
  1130.    wt: 10:   1 Three Skills For Algebra
  1131.    wt: 10:   About Folder Contents
  1132.    wt: 10:   6 GCD from Prime
  1133.    wt: 10:   D Remainders Modulo 11 Pair Rule
  1134.    wt: 10:   9 Multiplying Integers
  1135.    wt: 10:   A Related lessons in Volume 3
  1136.    wt: 10:   F.3 Intermediate Value Theorem
  1137.    wt: 10:   Chapter 15. Slope Approximation
  1138.    wt: 10:   Chapter 13. Acceleration
  1139.    wt: 10:   Chapter 4. More Slope Sign Analysis
  1140.    wt: 10:   Chapter 3. Slope Sign Analysis
  1141.    wt: 10:   Fall 1983 Calculus Appetizer
  1142.    wt: 10:   Appendix C. How to Read
  1143.    wt: 10:   Chapter 13. Second Reading Guide
  1144.    wt: 10:   Chapter 4 Complex Numbers and Why Slopes
  1145.    wt: 10:   Foreword
  1146.    wt: 10:   M Words to extend arithmetic
  1147.    wt: 10:   N Improving Marks on Tests and Finals

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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