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