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

Web Page Search

1093 matches:

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

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

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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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