Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
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Logic mastery strengthens comprehension and so improves home, work & study abilities .
 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 14+: 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
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Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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

Web Page Search

181 matches:

  1.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  2.    wt: 2:   23 Inverse Functions
  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:   30 unit circle calculation of six trigonometric functions
  6.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  7.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  8.    wt: 2:   A Related Material in Volume 3
  9.    wt: 2:   A Related lessons in Volume 3
  10.    wt: 2:   33 Chain Rule Real Player video examples
  11.    wt: 2:   31 Derivatives of inverse functions
  12.    wt: 2:   F.1 What Functions are Continuous
  13.    wt: 2:   Fall 1983 Calculus Appetizer
  14.    wt: 1:   Skills Chapter 5 Calculus
  15.    wt: 1:   Skills Chapter 3 Algebra
  16.    wt: 1:   3 Euclidean Geometry Leanly
  17.    wt: 1:   05 13 OldSiteEntrancePage
  18.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  19.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  20.    wt: 1:   3 Energy Power Heat08
  21.    wt: 1:   C Energy Power03
  22.    wt: 1:   E Wire Resistance Calculation03
  23.    wt: 1:   3 Like resistors in parallel
  24.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  25.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  26.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  27.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  28.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  29.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  30.    wt: 1:   13 Addition and Addition Tables
  31.    wt: 1:   3 Preparing for Science Studies
  32.    wt: 1:   Ages 3 plus to 4 plus
  33.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  34.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  35.    wt: 1:   sign monoticity analysis example 3
  36.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  37.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  38.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  39.    wt: 1:   15 Sign analysis of functions
  40.    wt: 1:   13 From one to one to many to one
  41.    wt: 1:   8 Set view of relations and functions
  42.    wt: 1:   7 Functions with finite domains
  43.    wt: 1:   3 Formula or function graphing exercise
  44.    wt: 1:   3 quadratics factoring by inspection
  45.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  46.    wt: 1:   3 Polynomials Multiplication Addition
  47.    wt: 1:   13 cosecant function Definition Graph and Inverse
  48.    wt: 1:   3 Left Inverse of cosine arccos definition
  49.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  50.    wt: 1:   13 Velocity Vectors in Physics
  51.    wt: 1:   3 Navigation with Arrows or Vectors
  52.    wt: 1:   3 graphing y=f(x c) plus K
  53.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  54.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  55.    wt: 1:   32 seven rows of pascals triangle
  56.    wt: 1:   31 basic secant cosecant cotangent trig identities
  57.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  58.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  59.    wt: 1:   13 Graph of tangent function many periods
  60.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  61.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  62.    wt: 1:   13 Trig Formulas for dot and cross Products
  63.    wt: 1:   3 Addition Properties
  64.    wt: 1:   3 Trigonometric Ratios sine and cosine
  65.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  66.    wt: 1:   3 Similarity by Design with coordinates
  67.    wt: 1:   3 Slope product for perpendicular lines
  68.    wt: 1:   13 Pythagorean spatial distance formulas
  69.    wt: 1:   3 Rectangular Coordinates Review
  70.    wt: 1:   13 Angle Side Angle Failure
  71.    wt: 1:   3 Isometry of Triangles Congruence
  72.    wt: 1:   3 Lengths and Areas on Maps and Plans
  73.    wt: 1:   23 Distributive Law Two Derivations
  74.    wt: 1:   13 Arrows and Vectors in a Plane
  75.    wt: 1:   3 Location of Point in Decimal Multiplication
  76.    wt: 1:   3 Multiplicative Counting Skills Principles
  77.    wt: 1:   3 Inequalities Algebraically
  78.    wt: 1:   3 Proportionality Examples
  79.    wt: 1:   3 Linear Equation Literal Solution More
  80.    wt: 1:   3 Product Axioms Two Forms
  81.    wt: 1:   3 More and Less Than with Unlike Signs
  82.    wt: 1:   13 Real Number Subtraction
  83.    wt: 1:   3 Fractions
  84.    wt: 1:   3 Geometric Formulas and Function Notation
  85.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  86.    wt: 1:   3 GE III Equation Addition and Multiplication
  87.    wt: 1:   3 Solving triangular system example
  88.    wt: 1:   3 Four Examples
  89.    wt: 1:   3 Two Examples
  90.    wt: 1:   13 Naming Identifying Formulas with Words
  91.    wt: 1:   11 Volume of Sphere
  92.    wt: 1:   10 Volume of Pyramid
  93.    wt: 1:   9 Volume of Cone
  94.    wt: 1:   5 Box Volume Formula Example
  95.    wt: 1:   3 Triangle Area Formula Example
  96.    wt: 1:   3 Counting with Sets etc
  97.    wt: 1:   3 Adding Words To Arithmetic
  98.    wt: 1:   3 Comparison of Negative Numbers
  99.    wt: 1:   3 Properties of Square Roots with example
  100.    wt: 1:   13 GCD from given Prime Factorization
  101.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  102.    wt: 1:   3 Counting with Tables and Trees II
  103.    wt: 1:   3 signed coordinates for maps and planes
  104.    wt: 1:   3 Multiplying Units and Numbers
  105.    wt: 1:   13 Fraction Comparison Algebraic View
  106.    wt: 1:   3 Unit fraction of a fraction
  107.    wt: 1:   13 Subtraction with Additive Inverse
  108.    wt: 1:   3 Adding Movements with same direction
  109.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  110.    wt: 1:   26 Divisibility by 2 3 5 Example
  111.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  112.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  113.    wt: 1:   23 Remainder Arithmetic Modulo 2
  114.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  115.    wt: 1:   21 Remainder Arithmetic Modulo 3
  116.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  117.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  118.    wt: 1:   13 video Factors of 24 using prime
  119.    wt: 1:   10 video Prime Factorization upto 23 squared
  120.    wt: 1:   3 video Primes and Composites from 9 times table
  121.    wt: 1:   Long Division forwards and backwards Example 3
  122.    wt: 1:   3 Division Single Digit Divisor Example
  123.    wt: 1:   3 More One Digit Multipliers
  124.    wt: 1:   1 Why 3 times 5 gives 15
  125.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  126.    wt: 1:   3. How to add with decimals A sans conversions
  127.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  128.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  129.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  130.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  131.    wt: 1:   013 Travel Time Tables
  132.    wt: 1:   3 Units and Lengths of Time
  133.    wt: 1:   Example 2 volume of a cone
  134.    wt: 1:   Example 1 volume of a pyramid
  135.    wt: 1:   Volume of Solid by Cross Sections Lesson
  136.    wt: 1:   Example 3
  137.    wt: 1:   3 Two Chain Rule Method Exercises
  138.    wt: 1:   3 Second derivative test
  139.    wt: 1:   38 Formulas and derivatives for powers and roots
  140.    wt: 1:   36 Cube root derivative animated
  141.    wt: 1:   34 Derivative of exponential function
  142.    wt: 1:   30Chain Rule A Proof
  143.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  144.    wt: 1:   26 Chain Rule Recognising outer inner functions
  145.    wt: 1:   23 Chain Rule in general
  146.    wt: 1:   19 Chain Rule for linear functions
  147.    wt: 1:   15 sine and cosine derivatives 3rd step
  148.    wt: 1:   13 sine and cosine derivatives 1st step
  149.    wt: 1:   3 Motivation for Limit Definition Take 2
  150.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  151.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  152.    wt: 1:   3 Decimal insights for limits continuity convergence
  153.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  154.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  155.    wt: 1:   G.3 Constant Difference Theorem Proof
  156.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  157.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  158.    wt: 1:   F.3 Intermediate Value Theorem
  159.    wt: 1:   B3 Bolzano Weierstrass Theorem
  160.    wt: 1:   Chapter 23 Links To Trigonometry
  161.    wt: 1:   Chapter 13. Acceleration
  162.    wt: 1:   Chapter 9 About First Courses in Calculus
  163.    wt: 1:   Chapter 3. Slope Sign Analysis
  164.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  165.    wt: 1:   Chapter 31 Direct and Indirect Reason
  166.    wt: 1:   Chapter 30 Truth Tables
  167.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  168.    wt: 1:   Chapter 23. Notation For Sums
  169.    wt: 1:   Chapter 19. Functions and Sets
  170.    wt: 1:   Chapter 13. Second Reading Guide
  171.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  172.    wt: 1:   Chapter 3 Chains of Reason
  173.    wt: 1:   Chapter 3 Algebra Difficulties
  174.    wt: 1:   Chapter 23 Truth Tables
  175.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  176.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  177.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  178.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  179.    wt: 1:   More Algebra and Slope based Calculus Preview
  180.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  181.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

551 matches:

  1.    wt: 8:   F.1 What Functions are Continuous
  2.    wt: 8:   B3 Bolzano Weierstrass Theorem
  3.    wt: 7:   .H2 Lipshitz Conditions Integration Calculus Reform
  4.    wt: 7:   .H1 First Fundamental Theorem of Calculus
  5.    wt: 7:   G.3 Constant Difference Theorem Proof
  6.    wt: 7:   G.2 Differentiable Functions Mean Value Theorem
  7.    wt: 7:   G.1 Differentiable Functions Rolles Theorem
  8.    wt: 7:   F.5a Equicontinuity Theorems
  9.    wt: 7:   F.3 Intermediate Value Theorem
  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:   F.5b Extreme Value Theorem
  15.    wt: 6:   F.4 Finite Covering Theorem
  16.    wt: 6:   F.2 Closed Range Theorem
  17.    wt: 6:   E2 Algebraic Properties of Limits
  18.    wt: 6:   E1 Error Control Inequalities
  19.    wt: 6:   D2 Limits of Monotone Sequences
  20.    wt: 6:   D1 Sets and Sequences GLBs and LGBs
  21.    wt: 6:   C Triangle Inequalities
  22.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
  23.    wt: 6:   PostScript For and Against Decimal Perspectives
  24.    wt: 6:   A1. Introduction
  25.    wt: 6:   index
  26.    wt: 5:   3 Solving triangular system example
  27.    wt: 5:   31 Derivatives of inverse functions
  28.    wt: 5:   Chapter 23 Links To Trigonometry
  29.    wt: 5:   Chapter 13. Acceleration
  30.    wt: 5:   Chapter 3. Slope Sign Analysis
  31.    wt: 5:   Fall 1983 Calculus Appetizer
  32.    wt: 4:   23 Inverse Functions
  33.    wt: 4:   13 Velocity Vectors in Physics
  34.    wt: 4:   3 Navigation with Arrows or Vectors
  35.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  36.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  37.    wt: 4:   13 Pythagorean spatial distance formulas
  38.    wt: 4:   3 Rectangular Coordinates Review
  39.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  40.    wt: 4:   13 video Factors of 24 using prime
  41.    wt: 4:   3 video Primes and Composites from 9 times table
  42.    wt: 4:   Example 3
  43.    wt: 4:   A Related lessons in Volume 3
  44.    wt: 4:   33 Chain Rule Real Player video examples
  45.    wt: 4:   Chapter 9 About First Courses in Calculus
  46.    wt: 3:   Skills Chapter 3 Algebra
  47.    wt: 3:   13 From one to one to many to one
  48.    wt: 3:   3 Formula or function graphing exercise
  49.    wt: 3:   3 quadratics factoring by inspection
  50.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  51.    wt: 3:   3 GE III Equation Addition and Multiplication
  52.    wt: 3:   4 Solving a triangular system exercise
  53.    wt: 3:   2 Essentially one exercises three with solution
  54.    wt: 3:   1 Essentially One Unknown
  55.    wt: 3:   3 Four Examples
  56.    wt: 3:   3 Two Examples
  57.    wt: 3:   10 video Prime Factorization upto 23 squared
  58.    wt: 3:   3 More One Digit Multipliers
  59.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  60.    wt: 3:   Example 2 volume of a cone
  61.    wt: 3:   Example 1 volume of a pyramid
  62.    wt: 3:   Volume of Solid by Cross Sections Lesson
  63.    wt: 3:   Example 4 with x function of y
  64.    wt: 3:   Example 2
  65.    wt: 3:   Example 1
  66.    wt: 3:   A Related Material in Volume 3
  67.    wt: 3:   3 Second derivative test
  68.    wt: 3:   2 Second derivative test prequel
  69.    wt: 3:   38 Formulas and derivatives for powers and roots
  70.    wt: 3:   36 Cube root derivative animated
  71.    wt: 3:   34 Derivative of exponential function
  72.    wt: 3:   30Chain Rule A Proof
  73.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  74.    wt: 3:   26 Chain Rule Recognising outer inner functions
  75.    wt: 3:   23 Chain Rule in general
  76.    wt: 3:   22 Chain Rule for polynomials
  77.    wt: 3:   19 Chain Rule for linear functions
  78.    wt: 3:   15 sine and cosine derivatives 3rd step
  79.    wt: 3:   13 sine and cosine derivatives 1st step
  80.    wt: 3:   12 Quotient rule examples
  81.    wt: 3:   5 Product Rule
  82.    wt: 3:   3 Motivation for Limit Definition Take 2
  83.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  84.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  85.    wt: 3:   4 Numerical properties
  86.    wt: 3:   3 Decimal insights for limits continuity convergence
  87.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  88.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  89.    wt: 3:   Chapter 22 Complex Numbers
  90.    wt: 3:   Chapter 21 Arrow Addition
  91.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  92.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  93.    wt: 3:   Chapter 18. Slopes Areas Integration
  94.    wt: 3:   Chapter 17. Area Approximation
  95.    wt: 3:   Chapter 16. Velocity Approximation
  96.    wt: 3:   Chapter 15. Slope Approximation
  97.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  98.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  99.    wt: 3:   Chapter 12. Units and Slopes
  100.    wt: 3:   Chapter 11. Graphing Slope versus Position
  101.    wt: 3:   Chapter 10 Slopes and Units
  102.    wt: 3:   Chapter 8. Slope Interpretation
  103.    wt: 3:   Chapter 7 Slopes and Velocity
  104.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  105.    wt: 3:   Chapter 5. Slope Sign Tests
  106.    wt: 3:   Chapter 4. More Slope Sign Analysis
  107.    wt: 3:   Chapter 2. Slopes and Ski Trails
  108.    wt: 3:   Chapter 1.Introduction
  109.    wt: 3:   Foreword
  110.    wt: 3:   Chapter 31 Direct and Indirect Reason
  111.    wt: 3:   Chapter 30 Truth Tables
  112.    wt: 3:   Chapter 23. Notation For Sums
  113.    wt: 3:   Chapter 13. Second Reading Guide
  114.    wt: 3:   Chapter 3 Chains of Reason
  115.    wt: 3:   Chapter 3 Algebra Difficulties
  116.    wt: 3:   Chapter 23 Truth Tables
  117.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  118.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  119.    wt: 3:   More Algebra and Slope based Calculus Preview
  120.    wt: 3:   Systematic Algebra Skill Development Missing Links
  121.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  122.    wt: 2:   Skills Chapter 5 Calculus
  123.    wt: 2:   Ramblings Extrinsic numbers theory
  124.    wt: 2:   Ramblings Introduction Algebra Essay
  125.    wt: 2:   3 Euclidean Geometry Leanly
  126.    wt: 2:   Education Reform Inconsistencies
  127.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  128.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  129.    wt: 2:   C Energy Power03
  130.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  131.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  132.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  133.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  134.    wt: 2:   13 Addition and Addition Tables
  135.    wt: 2:   3 Preparing for Science Studies
  136.    wt: 2:   Ages 3 plus to 4 plus
  137.    wt: 2:   sign monoticity analysis example 3
  138.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  139.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  140.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  141.    wt: 2:   15 Sign analysis of functions
  142.    wt: 2:   8 Set view of relations and functions
  143.    wt: 2:   7 Functions with finite domains
  144.    wt: 2:   A Quadratics Summary
  145.    wt: 2:   10 quadratic exercises
  146.    wt: 2:   9 quadratics physical and further context
  147.    wt: 2:   8 quadratics backward use of various formulas
  148.    wt: 2:   7 quadratic formulla derivation
  149.    wt: 2:   6 quadratics numerical approach
  150.    wt: 2:   5 quadratics completing the square
  151.    wt: 2:   4 quadratics difference of two squares
  152.    wt: 2:   2 quadratics graphing in general
  153.    wt: 2:   1 quadratics graphing exercises
  154.    wt: 2:   Quadratics in 10 steps
  155.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  156.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  157.    wt: 2:   A Global Time and Navigation
  158.    wt: 2:   15 Dot and Cross Product
  159.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  160.    wt: 2:   12 From Applied To Pure Mathematics
  161.    wt: 2:   11 Component Method
  162.    wt: 2:   10 Parallelogram Addition Method
  163.    wt: 2:   9 Head to Tail Coordinate View
  164.    wt: 2:   8 Parallel Vectors
  165.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  166.    wt: 2:   6 Vectors with Coordinates
  167.    wt: 2:   5 Head To Tail Arrow Addition
  168.    wt: 2:   4 Resultant of a Sum of Movements
  169.    wt: 2:   2 Signed Coordinates
  170.    wt: 2:   1 Unsigned Coordinates
  171.    wt: 2:   Vector and Complex Number Applet
  172.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  173.    wt: 2:   12 Straight Lines Graphing mx plus b
  174.    wt: 2:   32 seven rows of pascals triangle
  175.    wt: 2:   31 basic secant cosecant cotangent trig identities
  176.    wt: 2:   30 unit circle calculation of six trigonometric functions
  177.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  178.    wt: 2:   13 Trig Formulas for dot and cross Products
  179.    wt: 2:   3 Addition Properties
  180.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  181.    wt: 2:   3 Similarity by Design with coordinates
  182.    wt: 2:   3 Slope product for perpendicular lines
  183.    wt: 2:   12 Spatial Coordinates
  184.    wt: 2:   11 Triangle Inequality
  185.    wt: 2:   10 Pythagorean plane distance formula
  186.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  187.    wt: 2:   8 Distance Between Points on a Line
  188.    wt: 2:   7 Complex Numbers Appetizer
  189.    wt: 2:   6 Polar Multiplication and Rotation
  190.    wt: 2:   5 Cartesian Addition and Translation
  191.    wt: 2:   4 Polar Coordinates to and from
  192.    wt: 2:   2 Cartesian Coordinates with signs
  193.    wt: 2:   1 Cartesian Coordinates sans signs
  194.    wt: 2:   13 Angle Side Angle Failure
  195.    wt: 2:   3 Isometry of Triangles Congruence
  196.    wt: 2:   23 Distributive Law Two Derivations
  197.    wt: 2:   3 Multiplicative Counting Skills Principles
  198.    wt: 2:   3 Proportionality Examples
  199.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  200.    wt: 2:   3 Comparison of Negative Numbers
  201.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  202.    wt: 2:   3 Unit fraction of a fraction
  203.    wt: 2:   3 Adding Movements with same direction
  204.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  205.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  206.    wt: 2:   20 Uniqueness of Prime Factorization
  207.    wt: 2:   19 video Prime Factorization Unique
  208.    wt: 2:   18 video Count Factors given Prime Factorization
  209.    wt: 2:   17 Identify and Count Factors using Primes
  210.    wt: 2:   16 video Factors of 980 using prime
  211.    wt: 2:   15 video Factors of 20 using Prime Factorization
  212.    wt: 2:   14 video Factors of 24 Take II
  213.    wt: 2:   12 LCD GCD and LCM using Primes
  214.    wt: 2:   11 Efficient Square Rule Use
  215.    wt: 2:   9 video Prime Factorization upto 19 squared
  216.    wt: 2:   8 video Prime Factorization upto 19
  217.    wt: 2:   7 Calculator Usage Notes and Cautions
  218.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  219.    wt: 2:   5 Prime Factorization and a Square Rule
  220.    wt: 2:   4 video Prime Factorization Introduction
  221.    wt: 2:   2 Prime and Composites less than 16
  222.    wt: 2:   1 video how Products are bigger than factor
  223.    wt: 2:   3 Division Single Digit Divisor Example
  224.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  225.    wt: 2:   1 Why 3 times 5 gives 15
  226.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  227.    wt: 2:   3. How to add with decimals A sans conversions
  228.    wt: 2:   Example 1. Area Between x and x squared
  229.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  230.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  231.    wt: 2:   Area Between Curves Lesson Take 2
  232.    wt: 2:   Area Between Curves Lesson Take 1
  233.    wt: 2:   Summary
  234.    wt: 2:   3 Two Chain Rule Method Exercises
  235.    wt: 2:   4 Second derivative test exercise example
  236.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  237.    wt: 2:   A Chain Rule Real Player video examples
  238.    wt: 2:   29 Chain Rule Optional Reading
  239.    wt: 2:   28 Chain Rule Preparation for a Proof
  240.    wt: 2:   25 Chain Rule Animated Examples Continued
  241.    wt: 2:   24 Chain Rule Animated Examples
  242.    wt: 2:   21 Chain Rule for powers
  243.    wt: 2:   20 Chain Rule for Pulley Systems
  244.    wt: 2:   18 Chain Rule Introduction
  245.    wt: 2:   17 Derivatives of quotients of sine and cosine
  246.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  247.    wt: 2:   14 sine and cosine derivatives 2nd step
  248.    wt: 2:   11 Quotient rule
  249.    wt: 2:   10 Power rule for negative integers
  250.    wt: 2:   9 Reciprocal rule
  251.    wt: 2:   8 Differentiation of polynomials
  252.    wt: 2:   7 Animated Differentiation Examples
  253.    wt: 2:   6 Power rule from product rule
  254.    wt: 2:   4 Sum Rule
  255.    wt: 2:   2 Motivation for Limit Definition Take 1
  256.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  257.    wt: 2:   11 Limits at infinity Three Examples
  258.    wt: 2:   10 Three one sided limits with infinite values
  259.    wt: 2:   9 Limits Continuity and Composition
  260.    wt: 2:   8 Four Animated Examples
  261.    wt: 2:   7 Evaluation by immediate or delayed substitution
  262.    wt: 2:   6 Continuity at a point
  263.    wt: 2:   5 Jumps and absence of unlimited error control
  264.    wt: 2:   2 Algebraic codification
  265.    wt: 2:   1 Numerical introduction
  266.    wt: 2:   Appendix C. How to Read
  267.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  268.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  269.    wt: 2:   Chapter 19. Functions and Sets
  270.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  271.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  272.    wt: 2:   Postscript A Three Remarks
  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 08 Limitations et benefices
  316.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  317.    wt: 1:   chapitre 04 06 engagements
  318.    wt: 1:   chapitre 04 05 Implication versus suggestion
  319.    wt: 1:   chapitre 04 04 Parlons de la logique
  320.    wt: 1:   chapitre 04 02 Deuxieme enigme
  321.    wt: 1:   chapitre 04 01 Premiere enigme
  322.    wt: 1:   chapitre 04 00 Les regles d implication
  323.    wt: 1:   chapitre 02 00 La Communication des idees
  324.    wt: 1:   chapitre 01 00 Introduction
  325.    wt: 1:   liens
  326.    wt: 1:   3 Energy Power Heat08
  327.    wt: 1:   E Wire Resistance Calculation03
  328.    wt: 1:   A Wire Resistance Qualitative01
  329.    wt: 1:   3 Like resistors in parallel
  330.    wt: 1:   B Electromotive force conventional current01
  331.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  332.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  333.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  334.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  335.    wt: 1:   26 Function definitions done and coming
  336.    wt: 1:   22 Square Root function graphically
  337.    wt: 1:   20 Interchanging coordinates a reflection
  338.    wt: 1:   19 Horizontal line rule and method
  339.    wt: 1:   18 Vertical Line Rule and Method
  340.    wt: 1:   17 Function maxima minima and their location
  341.    wt: 1:   16 Increasing or decreasing on intervals
  342.    wt: 1:   14 Surjections Injections Bijections
  343.    wt: 1:   12 Function Domain Recognition Exercises
  344.    wt: 1:   11 Function Domain Range Source and Targets
  345.    wt: 1:   10 Interval Notation
  346.    wt: 1:   9 Set theory term relation possible origins
  347.    wt: 1:   6 Set Existence Formation and Notation
  348.    wt: 1:   5 Function notation for geometric transformations
  349.    wt: 1:   4 Function notation in and beyond mathematics
  350.    wt: 1:   2 Algebraic use of function notation
  351.    wt: 1:   1 Geometric Introduction of Function Notation
  352.    wt: 1:   Introduction Reading Guide
  353.    wt: 1:   3 Polynomials Multiplication Addition
  354.    wt: 1:   13 cosecant function Definition Graph and Inverse
  355.    wt: 1:   3 Left Inverse of cosine arccos definition
  356.    wt: 1:   3 graphing y=f(x c) plus K
  357.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  358.    wt: 1:   Straight Lines Intersection of
  359.    wt: 1:   14 Straight Lines Equations General Case
  360.    wt: 1:   11 Straight Lines Graphing y=mx
  361.    wt: 1:   10 Straight Lines through Origin Equations More
  362.    wt: 1:   9 Straight Lines through Origin Equations
  363.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  364.    wt: 1:   24 tangent Angle Difference Formula
  365.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  366.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  367.    wt: 1:   15 sine cosine Complementary Angle Relations
  368.    wt: 1:   13 Graph of tangent function many periods
  369.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  370.    wt: 1:   3 Trigonometric Ratios sine and cosine
  371.    wt: 1:   6 Geometric Diagrams in Class
  372.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  373.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  374.    wt: 1:   3 Lengths and Areas on Maps and Plans
  375.    wt: 1:   26 More Less Greater Than Comparison
  376.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  377.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  378.    wt: 1:   22 Multiplication of Signed Numbers
  379.    wt: 1:   13 Arrows and Vectors in a Plane
  380.    wt: 1:   3 Location of Point in Decimal Multiplication
  381.    wt: 1:   3 Inequalities Algebraically
  382.    wt: 1:   3 Linear Equation Literal Solution More
  383.    wt: 1:   3 Product Axioms Two Forms
  384.    wt: 1:   3 More and Less Than with Unlike Signs
  385.    wt: 1:   13 Real Number Subtraction
  386.    wt: 1:   3 Fractions
  387.    wt: 1:   3 Geometric Formulas and Function Notation
  388.    wt: 1:   More Exercises
  389.    wt: 1:   Simple Exercises
  390.    wt: 1:   4 GE III Animated Examples
  391.    wt: 1:   2 GE II Comparison
  392.    wt: 1:   1 GE Substitution four examples
  393.    wt: 1:   6 Algebraic Solution Example
  394.    wt: 1:   5 Algebraic Solutions Introduction
  395.    wt: 1:   4 Four Examples Fractional Coefficients
  396.    wt: 1:   2 Three Examples
  397.    wt: 1:   1 Proper Equal Sign Usage
  398.    wt: 1:   Skill Development Notes
  399.    wt: 1:   10 One Example
  400.    wt: 1:   9 Three Examples
  401.    wt: 1:   8 One Example
  402.    wt: 1:   7 Two Examples
  403.    wt: 1:   6 Three Examples
  404.    wt: 1:   5 Three Examples
  405.    wt: 1:   4 Two Examples
  406.    wt: 1:   2 Three Examples
  407.    wt: 1:   Using Letters for Physical Quantities
  408.    wt: 1:   Formula Usage Show Work Format
  409.    wt: 1:   13 Naming Identifying Formulas with Words
  410.    wt: 1:   11 Volume of Sphere
  411.    wt: 1:   10 Volume of Pyramid
  412.    wt: 1:   9 Volume of Cone
  413.    wt: 1:   5 Box Volume Formula Example
  414.    wt: 1:   3 Triangle Area Formula Example
  415.    wt: 1:   3 Counting with Sets etc
  416.    wt: 1:   3 Adding Words To Arithmetic
  417.    wt: 1:   3 Properties of Square Roots with example
  418.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  419.    wt: 1:   13 GCD from given Prime Factorization
  420.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  421.    wt: 1:   2 Least Common Multiple LCM intro via list method
  422.    wt: 1:   3 Counting with Tables and Trees II
  423.    wt: 1:   3 signed coordinates for maps and planes
  424.    wt: 1:   3 Multiplying Units and Numbers
  425.    wt: 1:   13 Fraction Comparison Algebraic View
  426.    wt: 1:   A Associative Law Theorectical Note
  427.    wt: 1:   13 Subtraction with Additive Inverse
  428.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  429.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  430.    wt: 1:   26 Divisibility by 2 3 5 Example
  431.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  432.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  433.    wt: 1:   23 Remainder Arithmetic Modulo 2
  434.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  435.    wt: 1:   21 Remainder Arithmetic Modulo 3
  436.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  437.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  438.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  439.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  440.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  441.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  442.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  443.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  444.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  445.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  446.    wt: 1:   Long Division Backward
  447.    wt: 1:   Long Division forwards and backwards Example 3
  448.    wt: 1:   D Decimal Multiplication Methods Derived
  449.    wt: 1:   C Counting Areas with Powers of Ten
  450.    wt: 1:   B Powers of Ten
  451.    wt: 1:   A Elementary Basis for Multiplication Methods
  452.    wt: 1:   6 Multiplication Commutes Order Not Important
  453.    wt: 1:   5 Decimal Fraction Multiplication
  454.    wt: 1:   4 Two and Three Digit Multipliers
  455.    wt: 1:   2 One Digit Multipliers
  456.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  457.    wt: 1:   Video Power Notation in Decimal Expansion
  458.    wt: 1:   Subtraction Another Video Lesson
  459.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  460.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  461.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  462.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  463.    wt: 1:   Expression Evaluation how to show work
  464.    wt: 1:   013 Travel Time Tables
  465.    wt: 1:   3 Units and Lengths of Time
  466.    wt: 1:   5 Area Under Curve Exercise
  467.    wt: 1:   4 Definite Integrals Evaluation Exercises
  468.    wt: 1:   2 Indefinite Integrals Exercises
  469.    wt: 1:   1 Chain Rule in Reverse Integration Method
  470.    wt: 1:   Postscript More on Better Performance
  471.    wt: 1:   Postscript For Better Performance
  472.    wt: 1:   Appendix E. How To Study Mathematics and Why
  473.    wt: 1:   Appendix D. What to do in School and Why
  474.    wt: 1:   Appendix B. How To Learn
  475.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  476.    wt: 1:   Chapter 28 Occurrence Tables
  477.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  478.    wt: 1:   Chapter 25. Mathematical Induction Examples
  479.    wt: 1:   Chapter 25. Mathematical Induction Examples
  480.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  481.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  482.    wt: 1:   Chapter 21. Third Reading Guide
  483.    wt: 1:   Chapter 20. Degrees and Radians
  484.    wt: 1:   Chapter 18. Rules for Algebra
  485.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  486.    wt: 1:   Chapter 16. Painless Theorem Proving
  487.    wt: 1:   Chapter 15. Solving Linear Equations
  488.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  489.    wt: 1:   Chapter 12. Shorthand Usage Guide
  490.    wt: 1:   Chapter 11. Why Shorthand
  491.    wt: 1:   Chapter 10 Describing and Changing Calculations
  492.    wt: 1:   Postscript What is a Variable
  493.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  494.    wt: 1:   Chapter 8 Three Skills For Algebra
  495.    wt: 1:   Solutions For Arithmetic Exercises
  496.    wt: 1:   Chapter 6 Change of Language
  497.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  498.    wt: 1:   Chapter 4 Longer Chains of Reason
  499.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  500.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  501.    wt: 1:   Foreword
  502.    wt: 1:   Annotated Links to Material Elsehwere
  503.    wt: 1:   Postscript B Mathematics Education References
  504.    wt: 1:   Chapter 12 Four Phases
  505.    wt: 1:   Chapter 11 Elementary Instruction
  506.    wt: 1:   Chapter 10 Transition
  507.    wt: 1:   Chapter 9 The Two Ends
  508.    wt: 1:   Chapter 8 Modern Instruction
  509.    wt: 1:   Chapter 7 Two Treatments of Geometry
  510.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  511.    wt: 1:   Chapter 5 Four References
  512.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  513.    wt: 1:   Chapter 2 For and Against Mathematics
  514.    wt: 1:   Chapter 1 Introduction
  515.    wt: 1:   Foreword
  516.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  517.    wt: 1:   Postscript C Consistency as a Tool for Reason
  518.    wt: 1:   Postscript B More on Story Telling and Reason
  519.    wt: 1:   Postscript A Story Telling
  520.    wt: 1:   Chapter 24 Direct and Indirect Reason
  521.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  522.    wt: 1:   Chapter 21 Occurrence Tables
  523.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  524.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  525.    wt: 1:   Chapter 18 Sense and Knowledge
  526.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  527.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  528.    wt: 1:   Chapter 15 Objective Processes
  529.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  530.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  531.    wt: 1:   Chapter 11 Accidental Patterns
  532.    wt: 1:   Chapter 10 Responsibility
  533.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  534.    wt: 1:   Chapter 8 Change of Language
  535.    wt: 1:   Chapter 7 Longer Chains of Reason
  536.    wt: 1:   Chapter 6 Chains of Reason
  537.    wt: 1:   Chapter 5 Deception
  538.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  539.    wt: 1:   Chapter 2 Skill Development
  540.    wt: 1:   Chapter 1 Introduction
  541.    wt: 1:   Three Remarks
  542.    wt: 1:   Foreword
  543.    wt: 1:   M Words to extend arithmetic
  544.    wt: 1:   C. Domino effect of being careful
  545.    wt: 1:   Helping the Blind in Logic and Mathematics
  546.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  547.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  548.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  549.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  550.    wt: 1:   Which Way To Go
  551.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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1. Deciml Place Value - fun
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