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

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

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

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

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

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

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

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

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

Web Page Search

1114 matches:

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

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

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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