Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential 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.

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

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1076 matches:

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

Extended Search

1138 matches:

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

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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 bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

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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