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Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
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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
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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.

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  1.    wt: 6:   Advanced Calculus Volume 3 Appendices/
  2.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  3.    wt: 3:   13 Lessons on Limits and Continuity/
  4.    wt: 3:   Volume 3 Why Slopes A Calculus Intro Etc/
  5.    wt: 2:   3 Quadratics Geometrically/
  6.    wt: 2:   13 Vectors/
  7.    wt: 2:   3 Cartesian and Polar Coordinates/
  8.    wt: 2:   3 Prime Factorization Skills/
  9.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  10.    wt: 2:   4 Lessons on Using Derivatives/
  11.    wt: 2:   38 Lessons on Calculating Derivatives/
  12.    wt: 1:   LAMP Lean Applied Mathematics Program/
  13.    wt: 1:   Volume 1A Regles et modeles/
  14.    wt: 1:   Step 4 Gaussian Elimination/
  15.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  16.    wt: 1:   Step 1 Stick diagram and fractions/
  17.    wt: 1:   3 Solving Linear Equations/
  18.    wt: 1:   C Decimal Multiplication Methods/
  19.    wt: 1:   5 Lessons on Integration/
  20.    wt: 1:   70 Calculus Starter Lessons/
  21.    wt: 1:   Volume 2 Three Skills For Algebra/
  22.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  23.    wt: 1:   Volume 1A Pattern Based Reason/
  24.    wt: 1:   Volume 1 Elements of Reason/
  25.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

193 matches:

  1.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  2.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  3.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  4.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  5.    wt: 2:   3 Addition Properties
  6.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  7.    wt: 2:   3 Properties of Square Roots with example
  8.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  9.    wt: 2:   A Related Material in Volume 3
  10.    wt: 2:   A Related lessons in Volume 3
  11.    wt: 2:   33 Chain Rule Real Player video examples
  12.    wt: 2:   3 Motivation for Limit Definition Take 2
  13.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  14.    wt: 2:   3 Decimal insights for limits continuity convergence
  15.    wt: 2:   E2 Algebraic Properties of Limits
  16.    wt: 2:   Fall 1983 Calculus Appetizer
  17.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  18.    wt: 1:   Skills Chapter 5 Calculus
  19.    wt: 1:   Skills Chapter 3 Algebra
  20.    wt: 1:   3 Euclidean Geometry Leanly
  21.    wt: 1:   05 13 OldSiteEntrancePage
  22.    wt: 1:   chapitre 04 08 Limitations et benefices
  23.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  24.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  25.    wt: 1:   3 Energy Power Heat08
  26.    wt: 1:   C Energy Power03
  27.    wt: 1:   E Wire Resistance Calculation03
  28.    wt: 1:   3 Like resistors in parallel
  29.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  30.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  31.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  32.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  33.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  34.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  35.    wt: 1:   13 Addition and Addition Tables
  36.    wt: 1:   3 Preparing for Science Studies
  37.    wt: 1:   Ages 3 plus to 4 plus
  38.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  39.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  40.    wt: 1:   sign monoticity analysis example 3
  41.    wt: 1:   23 Inverse Functions
  42.    wt: 1:   13 From one to one to many to one
  43.    wt: 1:   3 Formula or function graphing exercise
  44.    wt: 1:   3 quadratics factoring by inspection
  45.    wt: 1:   3 Polynomials Multiplication Addition
  46.    wt: 1:   13 cosecant function Definition Graph and Inverse
  47.    wt: 1:   3 Left Inverse of cosine arccos definition
  48.    wt: 1:   2 cosine function more properties
  49.    wt: 1:   1 cosine function properties
  50.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  51.    wt: 1:   13 Velocity Vectors in Physics
  52.    wt: 1:   3 Navigation with Arrows or Vectors
  53.    wt: 1:   3 graphing y=f(x c) plus K
  54.    wt: 1:   B Straight Line Slope Scaling Properties More
  55.    wt: 1:   A Straight Line Slope Scaling Properties
  56.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  57.    wt: 1:   4 Tangent Function Properties
  58.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  59.    wt: 1:   32 seven rows of pascals triangle
  60.    wt: 1:   31 basic secant cosecant cotangent trig identities
  61.    wt: 1:   30 unit circle calculation of six trigonometric functions
  62.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  63.    wt: 1:   13 Graph of tangent function many periods
  64.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  65.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  66.    wt: 1:   13 Trig Formulas for dot and cross Products
  67.    wt: 1:   6 Field Properties of Complex Number
  68.    wt: 1:   4 Multiplication Properties
  69.    wt: 1:   3 Trigonometric Ratios sine and cosine
  70.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  71.    wt: 1:   3 Similarity by Design with coordinates
  72.    wt: 1:   3 Slope product for perpendicular lines
  73.    wt: 1:   13 Pythagorean spatial distance formulas
  74.    wt: 1:   3 Rectangular Coordinates Review
  75.    wt: 1:   13 Angle Side Angle Failure
  76.    wt: 1:   3 Isometry of Triangles Congruence
  77.    wt: 1:   3 Lengths and Areas on Maps and Plans
  78.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  79.    wt: 1:   23 Distributive Law Two Derivations
  80.    wt: 1:   13 Arrows and Vectors in a Plane
  81.    wt: 1:   11 Signed Number Addition and Addition Properties
  82.    wt: 1:   3 Location of Point in Decimal Multiplication
  83.    wt: 1:   3 Multiplicative Counting Skills Principles
  84.    wt: 1:   3 Inequalities Algebraically
  85.    wt: 1:   3 Proportionality Examples
  86.    wt: 1:   3 Linear Equation Literal Solution More
  87.    wt: 1:   3 Product Axioms Two Forms
  88.    wt: 1:   3 More and Less Than with Unlike Signs
  89.    wt: 1:   13 Real Number Subtraction
  90.    wt: 1:   3 Fractions
  91.    wt: 1:   3 Geometric Formulas and Function Notation
  92.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  93.    wt: 1:   3 GE III Equation Addition and Multiplication
  94.    wt: 1:   3 Solving triangular system example
  95.    wt: 1:   3 Four Examples
  96.    wt: 1:   3 Two Examples
  97.    wt: 1:   13 Naming Identifying Formulas with Words
  98.    wt: 1:   11 Volume of Sphere
  99.    wt: 1:   10 Volume of Pyramid
  100.    wt: 1:   9 Volume of Cone
  101.    wt: 1:   5 Box Volume Formula Example
  102.    wt: 1:   3 Triangle Area Formula Example
  103.    wt: 1:   3 Counting with Sets etc
  104.    wt: 1:   3 Adding Words To Arithmetic
  105.    wt: 1:   3 Comparison of Negative Numbers
  106.    wt: 1:   13 GCD from given Prime Factorization
  107.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  108.    wt: 1:   3 Counting with Tables and Trees II
  109.    wt: 1:   3 signed coordinates for maps and planes
  110.    wt: 1:   3 Multiplying Units and Numbers
  111.    wt: 1:   13 Fraction Comparison Algebraic View
  112.    wt: 1:   3 Unit fraction of a fraction
  113.    wt: 1:   13 Subtraction with Additive Inverse
  114.    wt: 1:   3 Adding Movements with same direction
  115.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  116.    wt: 1:   26 Divisibility by 2 3 5 Example
  117.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  118.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  119.    wt: 1:   23 Remainder Arithmetic Modulo 2
  120.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  121.    wt: 1:   21 Remainder Arithmetic Modulo 3
  122.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  123.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  124.    wt: 1:   13 video Factors of 24 using prime
  125.    wt: 1:   10 video Prime Factorization upto 23 squared
  126.    wt: 1:   3 video Primes and Composites from 9 times table
  127.    wt: 1:   Long Division forwards and backwards Example 3
  128.    wt: 1:   3 Division Single Digit Divisor Example
  129.    wt: 1:   3 More One Digit Multipliers
  130.    wt: 1:   1 Why 3 times 5 gives 15
  131.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  132.    wt: 1:   3. How to add with decimals A sans conversions
  133.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  134.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  135.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  136.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  137.    wt: 1:   013 Travel Time Tables
  138.    wt: 1:   3 Units and Lengths of Time
  139.    wt: 1:   Example 2 volume of a cone
  140.    wt: 1:   Example 1 volume of a pyramid
  141.    wt: 1:   Volume of Solid by Cross Sections Lesson
  142.    wt: 1:   Example 3
  143.    wt: 1:   3 Two Chain Rule Method Exercises
  144.    wt: 1:   3 Second derivative test
  145.    wt: 1:   38 Formulas and derivatives for powers and roots
  146.    wt: 1:   36 Cube root derivative animated
  147.    wt: 1:   34 Derivative of exponential function
  148.    wt: 1:   31 Derivatives of inverse functions
  149.    wt: 1:   30Chain Rule A Proof
  150.    wt: 1:   23 Chain Rule in general
  151.    wt: 1:   15 sine and cosine derivatives 3rd step
  152.    wt: 1:   13 sine and cosine derivatives 1st step
  153.    wt: 1:   2 Motivation for Limit Definition Take 1
  154.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  155.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  156.    wt: 1:   11 Limits at infinity Three Examples
  157.    wt: 1:   10 Three one sided limits with infinite values
  158.    wt: 1:   9 Limits Continuity and Composition
  159.    wt: 1:   5 Jumps and absence of unlimited error control
  160.    wt: 1:   4 Numerical properties
  161.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  162.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  163.    wt: 1:   G.3 Constant Difference Theorem Proof
  164.    wt: 1:   F.3 Intermediate Value Theorem
  165.    wt: 1:   D2 Limits of Monotone Sequences
  166.    wt: 1:   B3 Bolzano Weierstrass Theorem
  167.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  168.    wt: 1:   Chapter 23 Links To Trigonometry
  169.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  170.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  171.    wt: 1:   Chapter 13. Acceleration
  172.    wt: 1:   Chapter 9 About First Courses in Calculus
  173.    wt: 1:   Chapter 3. Slope Sign Analysis
  174.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  175.    wt: 1:   Chapter 31 Direct and Indirect Reason
  176.    wt: 1:   Chapter 30 Truth Tables
  177.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  178.    wt: 1:   Chapter 23. Notation For Sums
  179.    wt: 1:   Chapter 13. Second Reading Guide
  180.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  181.    wt: 1:   Chapter 3 Chains of Reason
  182.    wt: 1:   Chapter 3 Algebra Difficulties
  183.    wt: 1:   Chapter 23 Truth Tables
  184.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  185.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  186.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  187.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  188.    wt: 1:   Chapter 3 Algebra Starter Lessons
  189.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  190.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  191.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  192.    wt: 1:   More Algebra and Slope based Calculus Preview
  193.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

538 matches:

  1.    wt: 8:   E2 Algebraic Properties of Limits
  2.    wt: 8:   B3 Bolzano Weierstrass Theorem
  3.    wt: 7:   G.2 Lipshitz Conditions Integration Calculus Reform
  4.    wt: 7:   G.1 First Fundamental Theorem of Calculus
  5.    wt: 7:   G.3 Constant Difference Theorem Proof
  6.    wt: 7:   F.5a Equicontinuity Theorems
  7.    wt: 7:   F.3 Intermediate Value Theorem
  8.    wt: 7:   D2 Limits of Monotone Sequences
  9.    wt: 7:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  10.    wt: 6:   Postscript One Sided and Intermediate Value Theorems
  11.    wt: 6:   G.6 Bounded Derivatives implies Lipshitz Continuity
  12.    wt: 6:   G.5 Motions With Bounded Velocities
  13.    wt: 6:   G.4 Lipschitz Continuity implies EquiContinuity
  14.    wt: 6:   G.2 Differentiable Functions Mean Value Theorem
  15.    wt: 6:   G.1 Differentiable Functions Rolles Theorem
  16.    wt: 6:   F.5b Extreme Value Theorem
  17.    wt: 6:   F.4 Finite Covering Theorem
  18.    wt: 6:   F.2 Closed Range Theorem
  19.    wt: 6:   F.1 What Functions are Continuous
  20.    wt: 6:   E1 Error Control Inequalities
  21.    wt: 6:   D1 Sets and Sequences GLBs and LGBs
  22.    wt: 6:   C Triangle Inequalities
  23.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
  24.    wt: 6:   PostScript For and Against Decimal Perspectives
  25.    wt: 6:   A1. Introduction
  26.    wt: 5:   3 Solving triangular system example
  27.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  28.    wt: 5:   4 Numerical properties
  29.    wt: 5:   3 Decimal insights for limits continuity convergence
  30.    wt: 5:   Chapter 23 Links To Trigonometry
  31.    wt: 5:   Chapter 13. Acceleration
  32.    wt: 5:   Chapter 3. Slope Sign Analysis
  33.    wt: 5:   Fall 1983 Calculus Appetizer
  34.    wt: 4:   13 Velocity Vectors in Physics
  35.    wt: 4:   3 Navigation with Arrows or Vectors
  36.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  37.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  38.    wt: 4:   13 Pythagorean spatial distance formulas
  39.    wt: 4:   3 Rectangular Coordinates Review
  40.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  41.    wt: 4:   13 video Factors of 24 using prime
  42.    wt: 4:   3 video Primes and Composites from 9 times table
  43.    wt: 4:   Example 3
  44.    wt: 4:   A Related lessons in Volume 3
  45.    wt: 4:   33 Chain Rule Real Player video examples
  46.    wt: 4:   31 Derivatives of inverse functions
  47.    wt: 4:   3 Motivation for Limit Definition Take 2
  48.    wt: 4:   12 Limits with Parameters and Derivatives Take I
  49.    wt: 4:   11 Limits at infinity Three Examples
  50.    wt: 4:   10 Three one sided limits with infinite values
  51.    wt: 4:   9 Limits Continuity and Composition
  52.    wt: 4:   5 Jumps and absence of unlimited error control
  53.    wt: 4:   Chapter 15. Algebraic Evaluation of Limits
  54.    wt: 4:   Chapter 14 Limits and Continuity with and sans Decimals
  55.    wt: 4:   Chapter 9 About First Courses in Calculus
  56.    wt: 3:   Skills Chapter 3 Algebra
  57.    wt: 3:   3 quadratics factoring by inspection
  58.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  59.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  60.    wt: 3:   3 Addition Properties
  61.    wt: 3:   3 GE III Equation Addition and Multiplication
  62.    wt: 3:   4 Solving a triangular system exercise
  63.    wt: 3:   2 Essentially one exercises three with solution
  64.    wt: 3:   1 Essentially One Unknown
  65.    wt: 3:   3 Four Examples
  66.    wt: 3:   3 Two Examples
  67.    wt: 3:   10 video Prime Factorization upto 23 squared
  68.    wt: 3:   3 More One Digit Multipliers
  69.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  70.    wt: 3:   Example 2 volume of a cone
  71.    wt: 3:   Example 1 volume of a pyramid
  72.    wt: 3:   Volume of Solid by Cross Sections Lesson
  73.    wt: 3:   Example 4 with x function of y
  74.    wt: 3:   Example 2
  75.    wt: 3:   Example 1
  76.    wt: 3:   A Related Material in Volume 3
  77.    wt: 3:   3 Second derivative test
  78.    wt: 3:   2 Second derivative test prequel
  79.    wt: 3:   38 Formulas and derivatives for powers and roots
  80.    wt: 3:   36 Cube root derivative animated
  81.    wt: 3:   34 Derivative of exponential function
  82.    wt: 3:   30Chain Rule A Proof
  83.    wt: 3:   23 Chain Rule in general
  84.    wt: 3:   22 Chain Rule for polynomials
  85.    wt: 3:   15 sine and cosine derivatives 3rd step
  86.    wt: 3:   13 sine and cosine derivatives 1st step
  87.    wt: 3:   12 Quotient rule examples
  88.    wt: 3:   5 Product Rule
  89.    wt: 3:   2 Motivation for Limit Definition Take 1
  90.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  91.    wt: 3:   8 Four Animated Examples
  92.    wt: 3:   7 Evaluation by immediate or delayed substitution
  93.    wt: 3:   6 Continuity at a point
  94.    wt: 3:   2 Algebraic codification
  95.    wt: 3:   1 Numerical introduction
  96.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  97.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  98.    wt: 3:   Chapter 22 Complex Numbers
  99.    wt: 3:   Chapter 21 Arrow Addition
  100.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  101.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  102.    wt: 3:   Chapter 18. Slopes Areas Integration
  103.    wt: 3:   Chapter 17. Area Approximation
  104.    wt: 3:   Chapter 16. Velocity Approximation
  105.    wt: 3:   Chapter 15. Slope Approximation
  106.    wt: 3:   Chapter 12. Units and Slopes
  107.    wt: 3:   Chapter 11. Graphing Slope versus Position
  108.    wt: 3:   Chapter 10 Slopes and Units
  109.    wt: 3:   Chapter 8. Slope Interpretation
  110.    wt: 3:   Chapter 7 Slopes and Velocity
  111.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  112.    wt: 3:   Chapter 5. Slope Sign Tests
  113.    wt: 3:   Chapter 4. More Slope Sign Analysis
  114.    wt: 3:   Chapter 2. Slopes and Ski Trails
  115.    wt: 3:   Chapter 1.Introduction
  116.    wt: 3:   Foreword
  117.    wt: 3:   Chapter 31 Direct and Indirect Reason
  118.    wt: 3:   Chapter 30 Truth Tables
  119.    wt: 3:   Chapter 23. Notation For Sums
  120.    wt: 3:   Chapter 13. Second Reading Guide
  121.    wt: 3:   Chapter 3 Chains of Reason
  122.    wt: 3:   Chapter 3 Algebra Difficulties
  123.    wt: 3:   Chapter 23 Truth Tables
  124.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  125.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  126.    wt: 3:   More Algebra and Slope based Calculus Preview
  127.    wt: 3:   Systematic Algebra Skill Development Missing Links
  128.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  129.    wt: 2:   Skills Chapter 5 Calculus
  130.    wt: 2:   Ramblings Extrinsic numbers theory
  131.    wt: 2:   Ramblings Introduction Algebra Essay
  132.    wt: 2:   3 Euclidean Geometry Leanly
  133.    wt: 2:   Education Reform Inconsistencies
  134.    wt: 2:   chapitre 04 08 Limitations et benefices
  135.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  136.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  137.    wt: 2:   C Energy Power03
  138.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  139.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  140.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  141.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  142.    wt: 2:   13 Addition and Addition Tables
  143.    wt: 2:   3 Preparing for Science Studies
  144.    wt: 2:   Ages 3 plus to 4 plus
  145.    wt: 2:   sign monoticity analysis example 3
  146.    wt: 2:   23 Inverse Functions
  147.    wt: 2:   13 From one to one to many to one
  148.    wt: 2:   3 Formula or function graphing exercise
  149.    wt: 2:   A Quadratics Summary
  150.    wt: 2:   10 quadratic exercises
  151.    wt: 2:   9 quadratics physical and further context
  152.    wt: 2:   8 quadratics backward use of various formulas
  153.    wt: 2:   7 quadratic formulla derivation
  154.    wt: 2:   6 quadratics numerical approach
  155.    wt: 2:   5 quadratics completing the square
  156.    wt: 2:   4 quadratics difference of two squares
  157.    wt: 2:   2 quadratics graphing in general
  158.    wt: 2:   1 quadratics graphing exercises
  159.    wt: 2:   Quadratics in 10 steps
  160.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  161.    wt: 2:   A Global Time and Navigation
  162.    wt: 2:   15 Dot and Cross Product
  163.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  164.    wt: 2:   12 From Applied To Pure Mathematics
  165.    wt: 2:   11 Component Method
  166.    wt: 2:   10 Parallelogram Addition Method
  167.    wt: 2:   9 Head to Tail Coordinate View
  168.    wt: 2:   8 Parallel Vectors
  169.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  170.    wt: 2:   6 Vectors with Coordinates
  171.    wt: 2:   5 Head To Tail Arrow Addition
  172.    wt: 2:   4 Resultant of a Sum of Movements
  173.    wt: 2:   2 Signed Coordinates
  174.    wt: 2:   1 Unsigned Coordinates
  175.    wt: 2:   Vector and Complex Number Applet
  176.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  177.    wt: 2:   12 Straight Lines Graphing mx plus b
  178.    wt: 2:   32 seven rows of pascals triangle
  179.    wt: 2:   31 basic secant cosecant cotangent trig identities
  180.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  181.    wt: 2:   13 Trig Formulas for dot and cross Products
  182.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  183.    wt: 2:   3 Similarity by Design with coordinates
  184.    wt: 2:   3 Slope product for perpendicular lines
  185.    wt: 2:   12 Spatial Coordinates
  186.    wt: 2:   11 Triangle Inequality
  187.    wt: 2:   10 Pythagorean plane distance formula
  188.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  189.    wt: 2:   8 Distance Between Points on a Line
  190.    wt: 2:   7 Complex Numbers Appetizer
  191.    wt: 2:   6 Polar Multiplication and Rotation
  192.    wt: 2:   5 Cartesian Addition and Translation
  193.    wt: 2:   4 Polar Coordinates to and from
  194.    wt: 2:   2 Cartesian Coordinates with signs
  195.    wt: 2:   1 Cartesian Coordinates sans signs
  196.    wt: 2:   13 Angle Side Angle Failure
  197.    wt: 2:   3 Isometry of Triangles Congruence
  198.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  199.    wt: 2:   23 Distributive Law Two Derivations
  200.    wt: 2:   3 Multiplicative Counting Skills Principles
  201.    wt: 2:   3 Proportionality Examples
  202.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  203.    wt: 2:   3 Comparison of Negative Numbers
  204.    wt: 2:   3 Properties of Square Roots with example
  205.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  206.    wt: 2:   3 Unit fraction of a fraction
  207.    wt: 2:   3 Adding Movements with same direction
  208.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  209.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  210.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  211.    wt: 2:   20 Uniqueness of Prime Factorization
  212.    wt: 2:   19 video Prime Factorization Unique
  213.    wt: 2:   18 video Count Factors given Prime Factorization
  214.    wt: 2:   17 Identify and Count Factors using Primes
  215.    wt: 2:   16 video Factors of 980 using prime
  216.    wt: 2:   15 video Factors of 20 using Prime Factorization
  217.    wt: 2:   14 video Factors of 24 Take II
  218.    wt: 2:   12 LCD GCD and LCM using Primes
  219.    wt: 2:   11 Efficient Square Rule Use
  220.    wt: 2:   9 video Prime Factorization upto 19 squared
  221.    wt: 2:   8 video Prime Factorization upto 19
  222.    wt: 2:   7 Calculator Usage Notes and Cautions
  223.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  224.    wt: 2:   5 Prime Factorization and a Square Rule
  225.    wt: 2:   4 video Prime Factorization Introduction
  226.    wt: 2:   2 Prime and Composites less than 16
  227.    wt: 2:   1 video how Products are bigger than factor
  228.    wt: 2:   3 Division Single Digit Divisor Example
  229.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  230.    wt: 2:   1 Why 3 times 5 gives 15
  231.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  232.    wt: 2:   3. How to add with decimals A sans conversions
  233.    wt: 2:   Example 1. Area Between x and x squared
  234.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  235.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  236.    wt: 2:   Area Between Curves Lesson Take 2
  237.    wt: 2:   Area Between Curves Lesson Take 1
  238.    wt: 2:   Summary
  239.    wt: 2:   3 Two Chain Rule Method Exercises
  240.    wt: 2:   4 Second derivative test exercise example
  241.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  242.    wt: 2:   A Chain Rule Real Player video examples
  243.    wt: 2:   29 Chain Rule Optional Reading
  244.    wt: 2:   28 Chain Rule Preparation for a Proof
  245.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  246.    wt: 2:   26 Chain Rule Recognising outer inner functions
  247.    wt: 2:   25 Chain Rule Animated Examples Continued
  248.    wt: 2:   24 Chain Rule Animated Examples
  249.    wt: 2:   21 Chain Rule for powers
  250.    wt: 2:   20 Chain Rule for Pulley Systems
  251.    wt: 2:   19 Chain Rule for linear functions
  252.    wt: 2:   18 Chain Rule Introduction
  253.    wt: 2:   17 Derivatives of quotients of sine and cosine
  254.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  255.    wt: 2:   14 sine and cosine derivatives 2nd step
  256.    wt: 2:   11 Quotient rule
  257.    wt: 2:   10 Power rule for negative integers
  258.    wt: 2:   9 Reciprocal rule
  259.    wt: 2:   8 Differentiation of polynomials
  260.    wt: 2:   7 Animated Differentiation Examples
  261.    wt: 2:   6 Power rule from product rule
  262.    wt: 2:   4 Sum Rule
  263.    wt: 2:   Appendix C. How to Read
  264.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  265.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  266.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  267.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  268.    wt: 2:   Postscript A Three Remarks
  269.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  270.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  271.    wt: 2:   Chapter 3 Algebra Starter Lessons
  272.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  273.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  274.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  275.    wt: 2:   Implementation Notes
  276.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  277.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  278.    wt: 1:   Appendix 2 primary school Arithmetic 01
  279.    wt: 1:   Appendix 1 primary and preschool mathematic
  280.    wt: 1:   K LAMP Musings Science Education
  281.    wt: 1:   J LAMP Introduction Extrinsic Origins
  282.    wt: 1:   I LAMP Introduction Study Habits
  283.    wt: 1:   H LAMP Introduction Instructional Concepts
  284.    wt: 1:   G LAMP Introduction Problem Solving Skills
  285.    wt: 1:   F LAMP Introduction Prerequisites
  286.    wt: 1:   E LAMP Introduction Modern Mathematics
  287.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  288.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  289.    wt: 1:   A Introduction Objectives
  290.    wt: 1:   Skills Chapter 4 Logic
  291.    wt: 1:   Skills Chapter 2 Geometry
  292.    wt: 1:   Skills Chapter 1 Arithmetic
  293.    wt: 1:   Skills Chapter 0 Introduction
  294.    wt: 1:   permissions for teachers
  295.    wt: 1:   Math Ed if it must be short make it lean effective
  296.    wt: 1:   modern education
  297.    wt: 1:   learning takes time
  298.    wt: 1:   grouping students according to ability
  299.    wt: 1:   what should be learnt and When
  300.    wt: 1:   mathematics in context
  301.    wt: 1:   Postscript 2007 01 10
  302.    wt: 1:   five decades make a difference
  303.    wt: 1:   teaching tutoring algebraic reason
  304.    wt: 1:   the trouble with algebra
  305.    wt: 1:   05 13 OldSiteEntrancePage
  306.    wt: 1:   Theory of Knowledge
  307.    wt: 1:   Different Kinds of Reasoning in maths
  308.    wt: 1:   chapitre 12 00 les iles et division
  309.    wt: 1:   chapitre 07 01 principle D induction mathematique
  310.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  311.    wt: 1:   chapitre 06 00 Chaines de la raison
  312.    wt: 1:   chapitre 05 00 Deception
  313.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  314.    wt: 1:   chapitre 04 09 Regles accidentelles
  315.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  316.    wt: 1:   chapitre 04 06 engagements
  317.    wt: 1:   chapitre 04 05 Implication versus suggestion
  318.    wt: 1:   chapitre 04 04 Parlons de la logique
  319.    wt: 1:   chapitre 04 02 Deuxieme enigme
  320.    wt: 1:   chapitre 04 01 Premiere enigme
  321.    wt: 1:   chapitre 04 00 Les regles d implication
  322.    wt: 1:   chapitre 02 00 La Communication des idees
  323.    wt: 1:   chapitre 01 00 Introduction
  324.    wt: 1:   liens
  325.    wt: 1:   3 Energy Power Heat08
  326.    wt: 1:   E Wire Resistance Calculation03
  327.    wt: 1:   A Wire Resistance Qualitative01
  328.    wt: 1:   3 Like resistors in parallel
  329.    wt: 1:   B Electromotive force conventional current01
  330.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  331.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  332.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  333.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  334.    wt: 1:   3 Polynomials Multiplication Addition
  335.    wt: 1:   13 cosecant function Definition Graph and Inverse
  336.    wt: 1:   3 Left Inverse of cosine arccos definition
  337.    wt: 1:   2 cosine function more properties
  338.    wt: 1:   1 cosine function properties
  339.    wt: 1:   3 graphing y=f(x c) plus K
  340.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  341.    wt: 1:   Straight Lines Intersection of
  342.    wt: 1:   B Straight Line Slope Scaling Properties More
  343.    wt: 1:   A Straight Line Slope Scaling Properties
  344.    wt: 1:   14 Straight Lines Equations General Case
  345.    wt: 1:   11 Straight Lines Graphing y=mx
  346.    wt: 1:   10 Straight Lines through Origin Equations More
  347.    wt: 1:   9 Straight Lines through Origin Equations
  348.    wt: 1:   4 Tangent Function Properties
  349.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  350.    wt: 1:   30 unit circle calculation of six trigonometric functions
  351.    wt: 1:   24 tangent Angle Difference Formula
  352.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  353.    wt: 1:   15 sine cosine Complementary Angle Relations
  354.    wt: 1:   13 Graph of tangent function many periods
  355.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  356.    wt: 1:   6 Field Properties of Complex Number
  357.    wt: 1:   4 Multiplication Properties
  358.    wt: 1:   3 Trigonometric Ratios sine and cosine
  359.    wt: 1:   6 Geometric Diagrams in Class
  360.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  361.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  362.    wt: 1:   3 Lengths and Areas on Maps and Plans
  363.    wt: 1:   26 More Less Greater Than Comparison
  364.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  365.    wt: 1:   22 Multiplication of Signed Numbers
  366.    wt: 1:   13 Arrows and Vectors in a Plane
  367.    wt: 1:   11 Signed Number Addition and Addition Properties
  368.    wt: 1:   3 Location of Point in Decimal Multiplication
  369.    wt: 1:   3 Inequalities Algebraically
  370.    wt: 1:   3 Linear Equation Literal Solution More
  371.    wt: 1:   3 Product Axioms Two Forms
  372.    wt: 1:   3 More and Less Than with Unlike Signs
  373.    wt: 1:   13 Real Number Subtraction
  374.    wt: 1:   3 Fractions
  375.    wt: 1:   3 Geometric Formulas and Function Notation
  376.    wt: 1:   More Exercises
  377.    wt: 1:   Simple Exercises
  378.    wt: 1:   4 GE III Animated Examples
  379.    wt: 1:   2 GE II Comparison
  380.    wt: 1:   1 GE Substitution four examples
  381.    wt: 1:   6 Algebraic Solution Example
  382.    wt: 1:   5 Algebraic Solutions Introduction
  383.    wt: 1:   4 Four Examples Fractional Coefficients
  384.    wt: 1:   2 Three Examples
  385.    wt: 1:   1 Proper Equal Sign Usage
  386.    wt: 1:   Skill Development Notes
  387.    wt: 1:   10 One Example
  388.    wt: 1:   9 Three Examples
  389.    wt: 1:   8 One Example
  390.    wt: 1:   7 Two Examples
  391.    wt: 1:   6 Three Examples
  392.    wt: 1:   5 Three Examples
  393.    wt: 1:   4 Two Examples
  394.    wt: 1:   2 Three Examples
  395.    wt: 1:   Using Letters for Physical Quantities
  396.    wt: 1:   Formula Usage Show Work Format
  397.    wt: 1:   13 Naming Identifying Formulas with Words
  398.    wt: 1:   11 Volume of Sphere
  399.    wt: 1:   10 Volume of Pyramid
  400.    wt: 1:   9 Volume of Cone
  401.    wt: 1:   5 Box Volume Formula Example
  402.    wt: 1:   3 Triangle Area Formula Example
  403.    wt: 1:   3 Counting with Sets etc
  404.    wt: 1:   3 Adding Words To Arithmetic
  405.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  406.    wt: 1:   13 GCD from given Prime Factorization
  407.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  408.    wt: 1:   2 Least Common Multiple LCM intro via list method
  409.    wt: 1:   3 Counting with Tables and Trees II
  410.    wt: 1:   3 signed coordinates for maps and planes
  411.    wt: 1:   3 Multiplying Units and Numbers
  412.    wt: 1:   13 Fraction Comparison Algebraic View
  413.    wt: 1:   A Associative Law Theorectical Note
  414.    wt: 1:   13 Subtraction with Additive Inverse
  415.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  416.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  417.    wt: 1:   26 Divisibility by 2 3 5 Example
  418.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  419.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  420.    wt: 1:   23 Remainder Arithmetic Modulo 2
  421.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  422.    wt: 1:   21 Remainder Arithmetic Modulo 3
  423.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  424.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  425.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  426.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  427.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  428.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  429.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  430.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  431.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  432.    wt: 1:   Long Division Backward
  433.    wt: 1:   Long Division forwards and backwards Example 3
  434.    wt: 1:   D Decimal Multiplication Methods Derived
  435.    wt: 1:   C Counting Areas with Powers of Ten
  436.    wt: 1:   B Powers of Ten
  437.    wt: 1:   A Elementary Basis for Multiplication Methods
  438.    wt: 1:   6 Multiplication Commutes Order Not Important
  439.    wt: 1:   5 Decimal Fraction Multiplication
  440.    wt: 1:   4 Two and Three Digit Multipliers
  441.    wt: 1:   2 One Digit Multipliers
  442.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  443.    wt: 1:   Video Power Notation in Decimal Expansion
  444.    wt: 1:   Subtraction Another Video Lesson
  445.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  446.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  447.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  448.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  449.    wt: 1:   Expression Evaluation how to show work
  450.    wt: 1:   013 Travel Time Tables
  451.    wt: 1:   3 Units and Lengths of Time
  452.    wt: 1:   5 Area Under Curve Exercise
  453.    wt: 1:   4 Definite Integrals Evaluation Exercises
  454.    wt: 1:   2 Indefinite Integrals Exercises
  455.    wt: 1:   1 Chain Rule in Reverse Integration Method
  456.    wt: 1:   Postscript More on Better Performance
  457.    wt: 1:   Postscript For Better Performance
  458.    wt: 1:   Appendix E. How To Study Mathematics and Why
  459.    wt: 1:   Appendix D. What to do in School and Why
  460.    wt: 1:   Appendix B. How To Learn
  461.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  462.    wt: 1:   Chapter 28 Occurrence Tables
  463.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  464.    wt: 1:   Chapter 25. Mathematical Induction Examples
  465.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  466.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  467.    wt: 1:   Chapter 21. Third Reading Guide
  468.    wt: 1:   Chapter 20. Degrees and Radians
  469.    wt: 1:   Chapter 19. Functions and Sets
  470.    wt: 1:   Chapter 18. Rules for Algebra
  471.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  472.    wt: 1:   Chapter 16. Painless Theorem Proving
  473.    wt: 1:   Chapter 15. Solving Linear Equations
  474.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  475.    wt: 1:   Chapter 12. Shorthand Usage Guide
  476.    wt: 1:   Chapter 11. Why Shorthand
  477.    wt: 1:   Chapter 10 Describing and Changing Calculations
  478.    wt: 1:   Postscript What is a Variable
  479.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  480.    wt: 1:   Chapter 8 Three Skills For Algebra
  481.    wt: 1:   Solutions For Arithmetic Exercises
  482.    wt: 1:   Chapter 6 Change of Language
  483.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  484.    wt: 1:   Chapter 4 Longer Chains of Reason
  485.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  486.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  487.    wt: 1:   Foreword
  488.    wt: 1:   Annotated Links to Material Elsehwere
  489.    wt: 1:   Postscript B Mathematics Education References
  490.    wt: 1:   Chapter 12 Four Phases
  491.    wt: 1:   Chapter 11 Elementary Instruction
  492.    wt: 1:   Chapter 10 Transition
  493.    wt: 1:   Chapter 9 The Two Ends
  494.    wt: 1:   Chapter 8 Modern Instruction
  495.    wt: 1:   Chapter 7 Two Treatments of Geometry
  496.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  497.    wt: 1:   Chapter 5 Four References
  498.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  499.    wt: 1:   Chapter 2 For and Against Mathematics
  500.    wt: 1:   Chapter 1 Introduction
  501.    wt: 1:   Foreword
  502.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  503.    wt: 1:   Postscript C Consistency as a Tool for Reason
  504.    wt: 1:   Postscript B More on Story Telling and Reason
  505.    wt: 1:   Postscript A Story Telling
  506.    wt: 1:   Chapter 24 Direct and Indirect Reason
  507.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  508.    wt: 1:   Chapter 21 Occurrence Tables
  509.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  510.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  511.    wt: 1:   Chapter 18 Sense and Knowledge
  512.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  513.    wt: 1:   Chapter 15 Objective Processes
  514.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  515.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  516.    wt: 1:   Chapter 11 Accidental Patterns
  517.    wt: 1:   Chapter 10 Responsibility
  518.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  519.    wt: 1:   Chapter 8 Change of Language
  520.    wt: 1:   Chapter 7 Longer Chains of Reason
  521.    wt: 1:   Chapter 6 Chains of Reason
  522.    wt: 1:   Chapter 5 Deception
  523.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  524.    wt: 1:   Chapter 2 Skill Development
  525.    wt: 1:   Chapter 1 Introduction
  526.    wt: 1:   Three Remarks
  527.    wt: 1:   Foreword
  528.    wt: 1:   M Words to extend arithmetic
  529.    wt: 1:   C. Domino effect of being careful
  530.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  531.    wt: 1:   Helping the Blind in Logic and Mathematics
  532.    wt: 1:   Mathematics Education References
  533.    wt: 1:   Mathematics Education References
  534.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  535.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  536.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  537.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  538.    wt: 1:   Which Way To Go

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

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

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

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

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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