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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85 matches:

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

Web Page Search

1112 matches:

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

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

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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