Appetizers and Lessons for Mathematics & Reason Français: 26 pages
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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.

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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:   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:   1 Decimal Place Value/
  20.    wt: 1:   Time Date Matters/
  21.    wt: 1:   Skills with take home value/
  22.    wt: 1:   5 Lessons on Integration/
  23.    wt: 1:   70 Calculus Starter Lessons/
  24.    wt: 1:   Volume 2 Three Skills For Algebra/
  25.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  26.    wt: 1:   Volume 1A Pattern Based Reason/
  27.    wt: 1:   Volume 1 Elements of Reason/
  28.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

198 matches:

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

Extended Search

558 matches:

  1.    wt: 9:   F.5b Extreme Value Theorem
  2.    wt: 9:   F.3 Intermediate Value Theorem
  3.    wt: 9:   B3 Bolzano Weierstrass Theorem
  4.    wt: 8:   Postscript One Sided and Intermediate Value Theorems
  5.    wt: 8:   .H1 First Fundamental Theorem of Calculus
  6.    wt: 8:   G.3 Constant Difference Theorem Proof
  7.    wt: 8:   G.2 Differentiable Functions Mean Value Theorem
  8.    wt: 8:   F.5a Equicontinuity Theorems
  9.    wt: 7:   .H2 Lipshitz Conditions Integration Calculus Reform
  10.    wt: 7:   G.1 Differentiable Functions Rolles Theorem
  11.    wt: 7:   F.4 Finite Covering Theorem
  12.    wt: 7:   F.2 Closed Range Theorem
  13.    wt: 6:   G.6 Bounded Derivatives implies Lipshitz Continuity
  14.    wt: 6:   G.5 Motions With Bounded Velocities
  15.    wt: 6:   G.4 Lipschitz Continuity implies EquiContinuity
  16.    wt: 6:   F.1 What Functions are Continuous
  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:   3 More on Groups of 3 Multi Digit Place Value
  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:   13 Velocity Vectors in Physics
  33.    wt: 4:   3 Navigation with Arrows or Vectors
  34.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  35.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  36.    wt: 4:   13 Pythagorean spatial distance formulas
  37.    wt: 4:   3 Rectangular Coordinates Review
  38.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  39.    wt: 4:   13 video Factors of 24 using prime
  40.    wt: 4:   3 video Primes and Composites from 9 times table
  41.    wt: 4:   Example 3
  42.    wt: 4:   A Related lessons in Volume 3
  43.    wt: 4:   33 Chain Rule Real Player video examples
  44.    wt: 4:   31 Derivatives of inverse functions
  45.    wt: 4:   Postscript Pythagorean Theorem yet another proof
  46.    wt: 4:   Chapter 9 About First Courses in Calculus
  47.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  48.    wt: 3:   Skills Chapter 3 Algebra
  49.    wt: 3:   3 quadratics factoring by inspection
  50.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  51.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  52.    wt: 3:   3 GE III Equation Addition and Multiplication
  53.    wt: 3:   4 Solving a triangular system exercise
  54.    wt: 3:   2 Essentially one exercises three with solution
  55.    wt: 3:   1 Essentially One Unknown
  56.    wt: 3:   3 Four Examples
  57.    wt: 3:   3 Two Examples
  58.    wt: 3:   10 video Prime Factorization upto 23 squared
  59.    wt: 3:   3 More One Digit Multipliers
  60.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  61.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  62.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  63.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  64.    wt: 3:   Example 2 volume of a cone
  65.    wt: 3:   Example 1 volume of a pyramid
  66.    wt: 3:   Volume of Solid by Cross Sections Lesson
  67.    wt: 3:   Example 4 with x function of y
  68.    wt: 3:   Example 2
  69.    wt: 3:   Example 1
  70.    wt: 3:   A Related Material in Volume 3
  71.    wt: 3:   3 Second derivative test
  72.    wt: 3:   2 Second derivative test prequel
  73.    wt: 3:   38 Formulas and derivatives for powers and roots
  74.    wt: 3:   36 Cube root derivative animated
  75.    wt: 3:   34 Derivative of exponential function
  76.    wt: 3:   30Chain Rule A Proof
  77.    wt: 3:   23 Chain Rule in general
  78.    wt: 3:   22 Chain Rule for polynomials
  79.    wt: 3:   15 sine and cosine derivatives 3rd step
  80.    wt: 3:   13 sine and cosine derivatives 1st step
  81.    wt: 3:   12 Quotient rule examples
  82.    wt: 3:   5 Product Rule
  83.    wt: 3:   3 Motivation for Limit Definition Take 2
  84.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  85.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  86.    wt: 3:   10 Three one sided limits with infinite values
  87.    wt: 3:   4 Numerical properties
  88.    wt: 3:   3 Decimal insights for limits continuity convergence
  89.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  90.    wt: 3:   Chapter 22 Complex Numbers
  91.    wt: 3:   Chapter 21 Arrow Addition
  92.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  93.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  94.    wt: 3:   Chapter 18. Slopes Areas Integration
  95.    wt: 3:   Chapter 17. Area Approximation
  96.    wt: 3:   Chapter 16. Velocity Approximation
  97.    wt: 3:   Chapter 15. Slope Approximation
  98.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  99.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  100.    wt: 3:   Chapter 12. Units and Slopes
  101.    wt: 3:   Chapter 11. Graphing Slope versus Position
  102.    wt: 3:   Chapter 10 Slopes and Units
  103.    wt: 3:   Chapter 8. Slope Interpretation
  104.    wt: 3:   Chapter 7 Slopes and Velocity
  105.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  106.    wt: 3:   Chapter 5. Slope Sign Tests
  107.    wt: 3:   Chapter 4. More Slope Sign Analysis
  108.    wt: 3:   Chapter 2. Slopes and Ski Trails
  109.    wt: 3:   Chapter 1.Introduction
  110.    wt: 3:   Foreword
  111.    wt: 3:   Chapter 31 Direct and Indirect Reason
  112.    wt: 3:   Chapter 30 Truth Tables
  113.    wt: 3:   Chapter 23. Notation For Sums
  114.    wt: 3:   Chapter 13. Second Reading Guide
  115.    wt: 3:   Chapter 3 Chains of Reason
  116.    wt: 3:   Chapter 3 Algebra Difficulties
  117.    wt: 3:   Chapter 23 Truth Tables
  118.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  119.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  120.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  121.    wt: 3:   More Algebra and Slope based Calculus Preview
  122.    wt: 3:   Systematic Algebra Skill Development Missing Links
  123.    wt: 2:   Skills Chapter 5 Calculus
  124.    wt: 2:   Ramblings Extrinsic numbers theory
  125.    wt: 2:   Ramblings Introduction Algebra Essay
  126.    wt: 2:   3 Euclidean Geometry Leanly
  127.    wt: 2:   Education Reform Inconsistencies
  128.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  129.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  130.    wt: 2:   C Energy Power03
  131.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  132.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  133.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  134.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  135.    wt: 2:   13 Addition and Addition Tables
  136.    wt: 2:   3 Preparing for Science Studies
  137.    wt: 2:   Ages 3 plus to 4 plus
  138.    wt: 2:   sign monoticity analysis example 3
  139.    wt: 2:   23 Inverse Functions
  140.    wt: 2:   13 From one to one to many to one
  141.    wt: 2:   3 Formula or function graphing exercise
  142.    wt: 2:   A Quadratics Summary
  143.    wt: 2:   10 quadratic exercises
  144.    wt: 2:   9 quadratics physical and further context
  145.    wt: 2:   8 quadratics backward use of various formulas
  146.    wt: 2:   7 quadratic formulla derivation
  147.    wt: 2:   6 quadratics numerical approach
  148.    wt: 2:   5 quadratics completing the square
  149.    wt: 2:   4 quadratics difference of two squares
  150.    wt: 2:   2 quadratics graphing in general
  151.    wt: 2:   1 quadratics graphing exercises
  152.    wt: 2:   Quadratics in 10 steps
  153.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  154.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  155.    wt: 2:   A Global Time and Navigation
  156.    wt: 2:   15 Dot and Cross Product
  157.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  158.    wt: 2:   12 From Applied To Pure Mathematics
  159.    wt: 2:   11 Component Method
  160.    wt: 2:   10 Parallelogram Addition Method
  161.    wt: 2:   9 Head to Tail Coordinate View
  162.    wt: 2:   8 Parallel Vectors
  163.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  164.    wt: 2:   6 Vectors with Coordinates
  165.    wt: 2:   5 Head To Tail Arrow Addition
  166.    wt: 2:   4 Resultant of a Sum of Movements
  167.    wt: 2:   2 Signed Coordinates
  168.    wt: 2:   1 Unsigned Coordinates
  169.    wt: 2:   Vector and Complex Number Applet
  170.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  171.    wt: 2:   12 Straight Lines Graphing mx plus b
  172.    wt: 2:   32 seven rows of pascals triangle
  173.    wt: 2:   31 basic secant cosecant cotangent trig identities
  174.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  175.    wt: 2:   13 Trig Formulas for dot and cross Products
  176.    wt: 2:   3 Addition Properties
  177.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  178.    wt: 2:   3 Similarity by Design with coordinates
  179.    wt: 2:   3 Slope product for perpendicular lines
  180.    wt: 2:   12 Spatial Coordinates
  181.    wt: 2:   11 Triangle Inequality
  182.    wt: 2:   10 Pythagorean plane distance formula
  183.    wt: 2:   8 Distance Between Points on a Line
  184.    wt: 2:   7 Complex Numbers Appetizer
  185.    wt: 2:   6 Polar Multiplication and Rotation
  186.    wt: 2:   5 Cartesian Addition and Translation
  187.    wt: 2:   4 Polar Coordinates to and from
  188.    wt: 2:   2 Cartesian Coordinates with signs
  189.    wt: 2:   1 Cartesian Coordinates sans signs
  190.    wt: 2:   13 Angle Side Angle Failure
  191.    wt: 2:   3 Isometry of Triangles Congruence
  192.    wt: 2:   23 Distributive Law Two Derivations
  193.    wt: 2:   3 Multiplicative Counting Skills Principles
  194.    wt: 2:   3 Proportionality Examples
  195.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  196.    wt: 2:   3 Comparison of Negative Numbers
  197.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  198.    wt: 2:   3 Unit fraction of a fraction
  199.    wt: 2:   3 Adding Movements with same direction
  200.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  201.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  202.    wt: 2:   20 Uniqueness of Prime Factorization
  203.    wt: 2:   19 video Prime Factorization Unique
  204.    wt: 2:   18 video Count Factors given Prime Factorization
  205.    wt: 2:   17 Identify and Count Factors using Primes
  206.    wt: 2:   16 video Factors of 980 using prime
  207.    wt: 2:   15 video Factors of 20 using Prime Factorization
  208.    wt: 2:   14 video Factors of 24 Take II
  209.    wt: 2:   12 LCD GCD and LCM using Primes
  210.    wt: 2:   11 Efficient Square Rule Use
  211.    wt: 2:   9 video Prime Factorization upto 19 squared
  212.    wt: 2:   8 video Prime Factorization upto 19
  213.    wt: 2:   7 Calculator Usage Notes and Cautions
  214.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  215.    wt: 2:   5 Prime Factorization and a Square Rule
  216.    wt: 2:   4 video Prime Factorization Introduction
  217.    wt: 2:   2 Prime and Composites less than 16
  218.    wt: 2:   1 video how Products are bigger than factor
  219.    wt: 2:   3 Division Single Digit Divisor Example
  220.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  221.    wt: 2:   1 Why 3 times 5 gives 15
  222.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  223.    wt: 2:   3. How to add with decimals A sans conversions
  224.    wt: 2:   11 Place Value SI Standard International way
  225.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  226.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  227.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  228.    wt: 2:   013 Travel Time Tables
  229.    wt: 2:   3 Units and Lengths of Time
  230.    wt: 2:   Example 1. Area Between x and x squared
  231.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  232.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  233.    wt: 2:   Area Between Curves Lesson Take 2
  234.    wt: 2:   Area Between Curves Lesson Take 1
  235.    wt: 2:   Summary
  236.    wt: 2:   3 Two Chain Rule Method Exercises
  237.    wt: 2:   4 Second derivative test exercise example
  238.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  239.    wt: 2:   A Chain Rule Real Player video examples
  240.    wt: 2:   29 Chain Rule Optional Reading
  241.    wt: 2:   28 Chain Rule Preparation for a Proof
  242.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  243.    wt: 2:   26 Chain Rule Recognising outer inner functions
  244.    wt: 2:   25 Chain Rule Animated Examples Continued
  245.    wt: 2:   24 Chain Rule Animated Examples
  246.    wt: 2:   21 Chain Rule for powers
  247.    wt: 2:   20 Chain Rule for Pulley Systems
  248.    wt: 2:   19 Chain Rule for linear functions
  249.    wt: 2:   18 Chain Rule Introduction
  250.    wt: 2:   17 Derivatives of quotients of sine and cosine
  251.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  252.    wt: 2:   14 sine and cosine derivatives 2nd step
  253.    wt: 2:   11 Quotient rule
  254.    wt: 2:   10 Power rule for negative integers
  255.    wt: 2:   9 Reciprocal rule
  256.    wt: 2:   8 Differentiation of polynomials
  257.    wt: 2:   7 Animated Differentiation Examples
  258.    wt: 2:   6 Power rule from product rule
  259.    wt: 2:   4 Sum Rule
  260.    wt: 2:   2 Motivation for Limit Definition Take 1
  261.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  262.    wt: 2:   11 Limits at infinity Three Examples
  263.    wt: 2:   9 Limits Continuity and Composition
  264.    wt: 2:   8 Four Animated Examples
  265.    wt: 2:   7 Evaluation by immediate or delayed substitution
  266.    wt: 2:   6 Continuity at a point
  267.    wt: 2:   5 Jumps and absence of unlimited error control
  268.    wt: 2:   2 Algebraic codification
  269.    wt: 2:   1 Numerical introduction
  270.    wt: 2:   Appendix C. How to Read
  271.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  272.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  273.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  274.    wt: 2:   Chapter 16. Painless Theorem Proving
  275.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  276.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  277.    wt: 2:   Postscript A Three Remarks
  278.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  279.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  280.    wt: 2:   Implementation Notes
  281.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  282.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  283.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  284.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  285.    wt: 1:   Appendix 2 primary school Arithmetic 01
  286.    wt: 1:   Appendix 1 primary and preschool mathematic
  287.    wt: 1:   K LAMP Musings Science Education
  288.    wt: 1:   J LAMP Introduction Extrinsic Origins
  289.    wt: 1:   I LAMP Introduction Study Habits
  290.    wt: 1:   H LAMP Introduction Instructional Concepts
  291.    wt: 1:   G LAMP Introduction Problem Solving Skills
  292.    wt: 1:   F LAMP Introduction Prerequisites
  293.    wt: 1:   E LAMP Introduction Modern Mathematics
  294.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  295.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  296.    wt: 1:   A Introduction Objectives
  297.    wt: 1:   Skills Chapter 4 Logic
  298.    wt: 1:   Skills Chapter 2 Geometry
  299.    wt: 1:   Skills Chapter 1 Arithmetic
  300.    wt: 1:   Skills Chapter 0 Introduction
  301.    wt: 1:   permissions for teachers
  302.    wt: 1:   Math Ed if it must be short make it lean effective
  303.    wt: 1:   modern education
  304.    wt: 1:   learning takes time
  305.    wt: 1:   grouping students according to ability
  306.    wt: 1:   what should be learnt and When
  307.    wt: 1:   mathematics in context
  308.    wt: 1:   Postscript 2007 01 10
  309.    wt: 1:   five decades make a difference
  310.    wt: 1:   teaching tutoring algebraic reason
  311.    wt: 1:   the trouble with algebra
  312.    wt: 1:   05 13 OldSiteEntrancePage
  313.    wt: 1:   Operational Viewpoint to Value
  314.    wt: 1:   Theory of Knowledge
  315.    wt: 1:   Different Kinds of Reasoning in maths
  316.    wt: 1:   chapitre 12 00 les iles et division
  317.    wt: 1:   chapitre 07 01 principle D induction mathematique
  318.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  319.    wt: 1:   chapitre 06 00 Chaines de la raison
  320.    wt: 1:   chapitre 05 00 Deception
  321.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  322.    wt: 1:   chapitre 04 09 Regles accidentelles
  323.    wt: 1:   chapitre 04 08 Limitations et benefices
  324.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  325.    wt: 1:   chapitre 04 06 engagements
  326.    wt: 1:   chapitre 04 05 Implication versus suggestion
  327.    wt: 1:   chapitre 04 04 Parlons de la logique
  328.    wt: 1:   chapitre 04 02 Deuxieme enigme
  329.    wt: 1:   chapitre 04 01 Premiere enigme
  330.    wt: 1:   chapitre 04 00 Les regles d implication
  331.    wt: 1:   chapitre 02 00 La Communication des idees
  332.    wt: 1:   chapitre 01 00 Introduction
  333.    wt: 1:   liens
  334.    wt: 1:   3 Energy Power Heat08
  335.    wt: 1:   E Wire Resistance Calculation03
  336.    wt: 1:   A Wire Resistance Qualitative01
  337.    wt: 1:   3 Like resistors in parallel
  338.    wt: 1:   B Electromotive force conventional current01
  339.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  340.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  341.    wt: 1:   10 Ends values for work study instruction
  342.    wt: 1:   Ages 12 to 14 Skills with take home value
  343.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  344.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  345.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  346.    wt: 1:   3 Polynomials Multiplication Addition
  347.    wt: 1:   13 cosecant function Definition Graph and Inverse
  348.    wt: 1:   3 Left Inverse of cosine arccos definition
  349.    wt: 1:   2 Radian Measure Numerical Value of one degree
  350.    wt: 1:   3 graphing y=f(x c) plus K
  351.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  352.    wt: 1:   Straight Lines Intersection of
  353.    wt: 1:   14 Straight Lines Equations General Case
  354.    wt: 1:   11 Straight Lines Graphing y=mx
  355.    wt: 1:   10 Straight Lines through Origin Equations More
  356.    wt: 1:   9 Straight Lines through Origin Equations
  357.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  358.    wt: 1:   30 unit circle calculation of six trigonometric functions
  359.    wt: 1:   24 tangent Angle Difference Formula
  360.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  361.    wt: 1:   17G Pythagorean Theorem Converse
  362.    wt: 1:   17A The complex number valued trig function cis
  363.    wt: 1:   15 sine cosine Complementary Angle Relations
  364.    wt: 1:   13 Graph of tangent function many periods
  365.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  366.    wt: 1:   15 Pythagorean Theorem Converse
  367.    wt: 1:   9 The complex number valued trig function cis
  368.    wt: 1:   3 Trigonometric Ratios sine and cosine
  369.    wt: 1:   6 Geometric Diagrams in Class
  370.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  371.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  372.    wt: 1:   3 Lengths and Areas on Maps and Plans
  373.    wt: 1:   26 More Less Greater Than Comparison
  374.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  375.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  376.    wt: 1:   22 Multiplication of Signed Numbers
  377.    wt: 1:   13 Arrows and Vectors in a Plane
  378.    wt: 1:   3 Location of Point in Decimal Multiplication
  379.    wt: 1:   3 Inequalities Algebraically
  380.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  381.    wt: 1:   3 Linear Equation Literal Solution More
  382.    wt: 1:   3 Product Axioms Two Forms
  383.    wt: 1:   3 More and Less Than with Unlike Signs
  384.    wt: 1:   13 Real Number Subtraction
  385.    wt: 1:   3 Fractions
  386.    wt: 1:   3 Geometric Formulas and Function Notation
  387.    wt: 1:   More Exercises
  388.    wt: 1:   Simple Exercises
  389.    wt: 1:   4 GE III Animated Examples
  390.    wt: 1:   2 GE II Comparison
  391.    wt: 1:   1 GE Substitution four examples
  392.    wt: 1:   6 Algebraic Solution Example
  393.    wt: 1:   5 Algebraic Solutions Introduction
  394.    wt: 1:   4 Four Examples Fractional Coefficients
  395.    wt: 1:   2 Three Examples
  396.    wt: 1:   1 Proper Equal Sign Usage
  397.    wt: 1:   Skill Development Notes
  398.    wt: 1:   10 One Example
  399.    wt: 1:   9 Three Examples
  400.    wt: 1:   8 One Example
  401.    wt: 1:   7 Two Examples
  402.    wt: 1:   6 Three Examples
  403.    wt: 1:   5 Three Examples
  404.    wt: 1:   4 Two Examples
  405.    wt: 1:   2 Three Examples
  406.    wt: 1:   Using Letters for Physical Quantities
  407.    wt: 1:   Formula Usage Show Work Format
  408.    wt: 1:   13 Naming Identifying Formulas with Words
  409.    wt: 1:   11 Volume of Sphere
  410.    wt: 1:   10 Volume of Pyramid
  411.    wt: 1:   9 Volume of Cone
  412.    wt: 1:   5 Box Volume Formula Example
  413.    wt: 1:   3 Triangle Area Formula Example
  414.    wt: 1:   3 Counting with Sets etc
  415.    wt: 1:   3 Adding Words To Arithmetic
  416.    wt: 1:   3 Properties of Square Roots with example
  417.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  418.    wt: 1:   13 GCD from given Prime Factorization
  419.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  420.    wt: 1:   2 Least Common Multiple LCM intro via list method
  421.    wt: 1:   3 Counting with Tables and Trees II
  422.    wt: 1:   3 signed coordinates for maps and planes
  423.    wt: 1:   3 Multiplying Units and Numbers
  424.    wt: 1:   13 Fraction Comparison Algebraic View
  425.    wt: 1:   A Associative Law Theorectical Note
  426.    wt: 1:   13 Subtraction with Additive Inverse
  427.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  428.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  429.    wt: 1:   26 Divisibility by 2 3 5 Example
  430.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  431.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  432.    wt: 1:   23 Remainder Arithmetic Modulo 2
  433.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  434.    wt: 1:   21 Remainder Arithmetic Modulo 3
  435.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  436.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  437.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  438.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  439.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  440.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  441.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  442.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  443.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  444.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  445.    wt: 1:   Long Division Backward
  446.    wt: 1:   Long Division forwards and backwards Example 3
  447.    wt: 1:   D Decimal Multiplication Methods Derived
  448.    wt: 1:   C Counting Areas with Powers of Ten
  449.    wt: 1:   B Powers of Ten
  450.    wt: 1:   A Elementary Basis for Multiplication Methods
  451.    wt: 1:   6 Multiplication Commutes Order Not Important
  452.    wt: 1:   5 Decimal Fraction Multiplication
  453.    wt: 1:   4 Two and Three Digit Multipliers
  454.    wt: 1:   2 One Digit Multipliers
  455.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  456.    wt: 1:   Video Power Notation in Decimal Expansion
  457.    wt: 1:   Subtraction Another Video Lesson
  458.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  459.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  460.    wt: 1:   Expression Evaluation how to show work
  461.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  462.    wt: 1:   016 Numbering Occidental Calendar Days
  463.    wt: 1:   015 School and work day counting tables
  464.    wt: 1:   014 Counting Days with Calendars
  465.    wt: 1:   012 Division of Time Intervals by Time Intervals
  466.    wt: 1:   011 Division of Time Intervals By Numbers
  467.    wt: 1:   010 Repeated Addition of Time Intervals
  468.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  469.    wt: 1:   8 Addition of Time Intervals via subtotaling
  470.    wt: 1:   7 Addition of Time Intervals
  471.    wt: 1:   6 How long is a million seconds
  472.    wt: 1:   5 Conversion Arithmetic
  473.    wt: 1:   4 Mixing and Changing Units of Time
  474.    wt: 1:   2 Time and Date Matters in School
  475.    wt: 1:   1 Intro of Kids To Time Date Skills
  476.    wt: 1:   5 Area Under Curve Exercise
  477.    wt: 1:   4 Definite Integrals Evaluation Exercises
  478.    wt: 1:   2 Indefinite Integrals Exercises
  479.    wt: 1:   1 Chain Rule in Reverse Integration Method
  480.    wt: 1:   Postscript More on Better Performance
  481.    wt: 1:   Postscript For Better Performance
  482.    wt: 1:   Appendix E. How To Study Mathematics and Why
  483.    wt: 1:   Appendix D. What to do in School and Why
  484.    wt: 1:   Appendix B. How To Learn
  485.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  486.    wt: 1:   Chapter 28 Occurrence Tables
  487.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  488.    wt: 1:   Chapter 25. Mathematical Induction Examples
  489.    wt: 1:   Chapter 25. Mathematical Induction Examples
  490.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  491.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  492.    wt: 1:   Chapter 21. Third Reading Guide
  493.    wt: 1:   Chapter 20. Degrees and Radians
  494.    wt: 1:   Chapter 19. Functions and Sets
  495.    wt: 1:   Chapter 18. Rules for Algebra
  496.    wt: 1:   Chapter 15. Solving Linear Equations
  497.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  498.    wt: 1:   Chapter 12. Shorthand Usage Guide
  499.    wt: 1:   Chapter 11. Why Shorthand
  500.    wt: 1:   Chapter 10 Describing and Changing Calculations
  501.    wt: 1:   Postscript What is a Variable
  502.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  503.    wt: 1:   Chapter 8 Three Skills For Algebra
  504.    wt: 1:   Solutions For Arithmetic Exercises
  505.    wt: 1:   Chapter 6 Change of Language
  506.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  507.    wt: 1:   Chapter 4 Longer Chains of Reason
  508.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  509.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  510.    wt: 1:   Foreword
  511.    wt: 1:   Annotated Links to Material Elsehwere
  512.    wt: 1:   Postscript B Mathematics Education References
  513.    wt: 1:   Chapter 12 Four Phases
  514.    wt: 1:   Chapter 11 Elementary Instruction
  515.    wt: 1:   Chapter 10 Transition
  516.    wt: 1:   Chapter 9 The Two Ends
  517.    wt: 1:   Chapter 8 Modern Instruction
  518.    wt: 1:   Chapter 7 Two Treatments of Geometry
  519.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  520.    wt: 1:   Chapter 5 Four References
  521.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  522.    wt: 1:   Chapter 2 For and Against Mathematics
  523.    wt: 1:   Chapter 1 Introduction
  524.    wt: 1:   Foreword
  525.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  526.    wt: 1:   Postscript C Consistency as a Tool for Reason
  527.    wt: 1:   Postscript B More on Story Telling and Reason
  528.    wt: 1:   Postscript A Story Telling
  529.    wt: 1:   Chapter 24 Direct and Indirect Reason
  530.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  531.    wt: 1:   Chapter 21 Occurrence Tables
  532.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  533.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  534.    wt: 1:   Chapter 18 Sense and Knowledge
  535.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  536.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  537.    wt: 1:   Chapter 15 Objective Processes
  538.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  539.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  540.    wt: 1:   Chapter 11 Accidental Patterns
  541.    wt: 1:   Chapter 10 Responsibility
  542.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  543.    wt: 1:   Chapter 8 Change of Language
  544.    wt: 1:   Chapter 7 Longer Chains of Reason
  545.    wt: 1:   Chapter 6 Chains of Reason
  546.    wt: 1:   Chapter 5 Deception
  547.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  548.    wt: 1:   Chapter 2 Skill Development
  549.    wt: 1:   Chapter 1 Introduction
  550.    wt: 1:   Three Remarks
  551.    wt: 1:   Foreword
  552.    wt: 1:   M Words to extend arithmetic
  553.    wt: 1:   L Skills with take home value
  554.    wt: 1:   C. Domino effect of being careful
  555.    wt: 1:   Helping the Blind in Logic and Mathematics
  556.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  557.    wt: 1:   Which Way To Go
  558.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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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.

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Logic-Reason for all
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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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