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/

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

Extended Search

560 matches:

  1.    wt: 9:   G.3 Constant Difference Theorem Proof
  2.    wt: 9:   G.2 Differentiable Functions Mean Value Theorem
  3.    wt: 9:   F.3 Intermediate Value Theorem
  4.    wt: 9:   B3 Bolzano Weierstrass Theorem
  5.    wt: 8:   Postscript One Sided and Intermediate Value Theorems
  6.    wt: 8:   .H1 First Fundamental Theorem of Calculus
  7.    wt: 8:   F.5b Extreme 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:   Postscript Pythagorean Theorem yet another proof
  29.    wt: 5:   Chapter 23 Links To Trigonometry
  30.    wt: 5:   Chapter 13. Acceleration
  31.    wt: 5:   Chapter 3. Slope Sign Analysis
  32.    wt: 5:   Fall 1983 Calculus Appetizer
  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:   9 Pythagorean Theorem Chinese Square Proof
  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:   30Chain Rule A Proof
  48.    wt: 4:   Chapter 9 About First Courses in Calculus
  49.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  50.    wt: 3:   Skills Chapter 3 Algebra
  51.    wt: 3:   3 quadratics factoring by inspection
  52.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  53.    wt: 3:   3 GE III Equation Addition and Multiplication
  54.    wt: 3:   4 Solving a triangular system exercise
  55.    wt: 3:   2 Essentially one exercises three with solution
  56.    wt: 3:   1 Essentially One Unknown
  57.    wt: 3:   3 Four Examples
  58.    wt: 3:   3 Two Examples
  59.    wt: 3:   10 video Prime Factorization upto 23 squared
  60.    wt: 3:   3 More One Digit Multipliers
  61.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  62.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  63.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  64.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  65.    wt: 3:   Example 2 volume of a cone
  66.    wt: 3:   Example 1 volume of a pyramid
  67.    wt: 3:   Volume of Solid by Cross Sections Lesson
  68.    wt: 3:   Example 4 with x function of y
  69.    wt: 3:   Example 2
  70.    wt: 3:   Example 1
  71.    wt: 3:   A Related Material in Volume 3
  72.    wt: 3:   3 Second derivative test
  73.    wt: 3:   2 Second derivative test prequel
  74.    wt: 3:   38 Formulas and derivatives for powers and roots
  75.    wt: 3:   36 Cube root derivative animated
  76.    wt: 3:   34 Derivative of exponential function
  77.    wt: 3:   28 Chain Rule Preparation for a Proof
  78.    wt: 3:   23 Chain Rule in general
  79.    wt: 3:   22 Chain Rule for polynomials
  80.    wt: 3:   15 sine and cosine derivatives 3rd step
  81.    wt: 3:   13 sine and cosine derivatives 1st step
  82.    wt: 3:   12 Quotient rule examples
  83.    wt: 3:   5 Product Rule
  84.    wt: 3:   3 Motivation for Limit Definition Take 2
  85.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  86.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  87.    wt: 3:   10 Three one sided limits with infinite values
  88.    wt: 3:   4 Numerical properties
  89.    wt: 3:   3 Decimal insights for limits continuity convergence
  90.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  91.    wt: 3:   Chapter 22 Complex Numbers
  92.    wt: 3:   Chapter 21 Arrow Addition
  93.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  94.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  95.    wt: 3:   Chapter 18. Slopes Areas Integration
  96.    wt: 3:   Chapter 17. Area Approximation
  97.    wt: 3:   Chapter 16. Velocity Approximation
  98.    wt: 3:   Chapter 15. Slope Approximation
  99.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  100.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  101.    wt: 3:   Chapter 12. Units and Slopes
  102.    wt: 3:   Chapter 11. Graphing Slope versus Position
  103.    wt: 3:   Chapter 10 Slopes and Units
  104.    wt: 3:   Chapter 8. Slope Interpretation
  105.    wt: 3:   Chapter 7 Slopes and Velocity
  106.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  107.    wt: 3:   Chapter 5. Slope Sign Tests
  108.    wt: 3:   Chapter 4. More Slope Sign Analysis
  109.    wt: 3:   Chapter 2. Slopes and Ski Trails
  110.    wt: 3:   Chapter 1.Introduction
  111.    wt: 3:   Foreword
  112.    wt: 3:   Chapter 31 Direct and Indirect Reason
  113.    wt: 3:   Chapter 30 Truth Tables
  114.    wt: 3:   Chapter 23. Notation For Sums
  115.    wt: 3:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  116.    wt: 3:   Chapter 13. Second Reading Guide
  117.    wt: 3:   Chapter 3 Chains of Reason
  118.    wt: 3:   Chapter 3 Algebra Difficulties
  119.    wt: 3:   Chapter 23 Truth Tables
  120.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  121.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  122.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  123.    wt: 3:   More Algebra and Slope based Calculus Preview
  124.    wt: 3:   Systematic Algebra Skill Development Missing Links
  125.    wt: 2:   Skills Chapter 5 Calculus
  126.    wt: 2:   Ramblings Extrinsic numbers theory
  127.    wt: 2:   Ramblings Introduction Algebra Essay
  128.    wt: 2:   3 Euclidean Geometry Leanly
  129.    wt: 2:   Education Reform Inconsistencies
  130.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  131.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  132.    wt: 2:   C Energy Power03
  133.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  134.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  135.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  136.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  137.    wt: 2:   13 Addition and Addition Tables
  138.    wt: 2:   3 Preparing for Science Studies
  139.    wt: 2:   Ages 3 plus to 4 plus
  140.    wt: 2:   sign monoticity analysis example 3
  141.    wt: 2:   23 Inverse Functions
  142.    wt: 2:   13 From one to one to many to one
  143.    wt: 2:   3 Formula or function graphing exercise
  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:   6 sines and cosines for reference angle 30 degrees
  177.    wt: 2:   13 Trig Formulas for dot and cross Products
  178.    wt: 2:   3 Addition Properties
  179.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  180.    wt: 2:   3 Similarity by Design with coordinates
  181.    wt: 2:   3 Slope product for perpendicular lines
  182.    wt: 2:   12 Spatial Coordinates
  183.    wt: 2:   11 Triangle Inequality
  184.    wt: 2:   10 Pythagorean plane distance formula
  185.    wt: 2:   8 Distance Between Points on a Line
  186.    wt: 2:   7 Complex Numbers Appetizer
  187.    wt: 2:   6 Polar Multiplication and Rotation
  188.    wt: 2:   5 Cartesian Addition and Translation
  189.    wt: 2:   4 Polar Coordinates to and from
  190.    wt: 2:   2 Cartesian Coordinates with signs
  191.    wt: 2:   1 Cartesian Coordinates sans signs
  192.    wt: 2:   13 Angle Side Angle Failure
  193.    wt: 2:   3 Isometry of Triangles Congruence
  194.    wt: 2:   23 Distributive Law Two Derivations
  195.    wt: 2:   3 Multiplicative Counting Skills Principles
  196.    wt: 2:   3 Proportionality Examples
  197.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  198.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  199.    wt: 2:   3 Comparison of Negative Numbers
  200.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  201.    wt: 2:   3 Unit fraction of a fraction
  202.    wt: 2:   3 Adding Movements with same direction
  203.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  204.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  205.    wt: 2:   20 Uniqueness of Prime Factorization
  206.    wt: 2:   19 video Prime Factorization Unique
  207.    wt: 2:   18 video Count Factors given Prime Factorization
  208.    wt: 2:   17 Identify and Count Factors using Primes
  209.    wt: 2:   16 video Factors of 980 using prime
  210.    wt: 2:   15 video Factors of 20 using Prime Factorization
  211.    wt: 2:   14 video Factors of 24 Take II
  212.    wt: 2:   12 LCD GCD and LCM using Primes
  213.    wt: 2:   11 Efficient Square Rule Use
  214.    wt: 2:   9 video Prime Factorization upto 19 squared
  215.    wt: 2:   8 video Prime Factorization upto 19
  216.    wt: 2:   7 Calculator Usage Notes and Cautions
  217.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  218.    wt: 2:   5 Prime Factorization and a Square Rule
  219.    wt: 2:   4 video Prime Factorization Introduction
  220.    wt: 2:   2 Prime and Composites less than 16
  221.    wt: 2:   1 video how Products are bigger than factor
  222.    wt: 2:   3 Division Single Digit Divisor Example
  223.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  224.    wt: 2:   1 Why 3 times 5 gives 15
  225.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  226.    wt: 2:   3. How to add with decimals A sans conversions
  227.    wt: 2:   11 Place Value SI Standard International way
  228.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  229.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  230.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  231.    wt: 2:   013 Travel Time Tables
  232.    wt: 2:   3 Units and Lengths of Time
  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:   27 Chain Rule sinusoidal outer inner functions EGS
  245.    wt: 2:   26 Chain Rule Recognising outer inner functions
  246.    wt: 2:   25 Chain Rule Animated Examples Continued
  247.    wt: 2:   24 Chain Rule Animated Examples
  248.    wt: 2:   21 Chain Rule for powers
  249.    wt: 2:   20 Chain Rule for Pulley Systems
  250.    wt: 2:   19 Chain Rule for linear functions
  251.    wt: 2:   18 Chain Rule Introduction
  252.    wt: 2:   17 Derivatives of quotients of sine and cosine
  253.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  254.    wt: 2:   14 sine and cosine derivatives 2nd step
  255.    wt: 2:   11 Quotient rule
  256.    wt: 2:   10 Power rule for negative integers
  257.    wt: 2:   9 Reciprocal rule
  258.    wt: 2:   8 Differentiation of polynomials
  259.    wt: 2:   7 Animated Differentiation Examples
  260.    wt: 2:   6 Power rule from product rule
  261.    wt: 2:   4 Sum Rule
  262.    wt: 2:   2 Motivation for Limit Definition Take 1
  263.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  264.    wt: 2:   11 Limits at infinity Three Examples
  265.    wt: 2:   9 Limits Continuity and Composition
  266.    wt: 2:   8 Four Animated Examples
  267.    wt: 2:   7 Evaluation by immediate or delayed substitution
  268.    wt: 2:   6 Continuity at a point
  269.    wt: 2:   5 Jumps and absence of unlimited error control
  270.    wt: 2:   2 Algebraic codification
  271.    wt: 2:   1 Numerical introduction
  272.    wt: 2:   Appendix C. How to Read
  273.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  274.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  275.    wt: 2:   Chapter 16. Painless Theorem Proving
  276.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  277.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  278.    wt: 2:   Postscript A Three Remarks
  279.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  280.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  281.    wt: 2:   Implementation Notes
  282.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  283.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  284.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  285.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  286.    wt: 1:   Appendix 2 primary school Arithmetic 01
  287.    wt: 1:   Appendix 1 primary and preschool mathematic
  288.    wt: 1:   K LAMP Musings Science Education
  289.    wt: 1:   J LAMP Introduction Extrinsic Origins
  290.    wt: 1:   I LAMP Introduction Study Habits
  291.    wt: 1:   H LAMP Introduction Instructional Concepts
  292.    wt: 1:   G LAMP Introduction Problem Solving Skills
  293.    wt: 1:   F LAMP Introduction Prerequisites
  294.    wt: 1:   E LAMP Introduction Modern Mathematics
  295.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  296.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  297.    wt: 1:   A Introduction Objectives
  298.    wt: 1:   Skills Chapter 4 Logic
  299.    wt: 1:   Skills Chapter 2 Geometry
  300.    wt: 1:   Skills Chapter 1 Arithmetic
  301.    wt: 1:   Skills Chapter 0 Introduction
  302.    wt: 1:   permissions for teachers
  303.    wt: 1:   Math Ed if it must be short make it lean effective
  304.    wt: 1:   modern education
  305.    wt: 1:   learning takes time
  306.    wt: 1:   grouping students according to ability
  307.    wt: 1:   what should be learnt and When
  308.    wt: 1:   mathematics in context
  309.    wt: 1:   Postscript 2007 01 10
  310.    wt: 1:   five decades make a difference
  311.    wt: 1:   teaching tutoring algebraic reason
  312.    wt: 1:   the trouble with algebra
  313.    wt: 1:   05 13 OldSiteEntrancePage
  314.    wt: 1:   Operational Viewpoint to Value
  315.    wt: 1:   Theory of Knowledge
  316.    wt: 1:   Different Kinds of Reasoning in maths
  317.    wt: 1:   chapitre 12 00 les iles et division
  318.    wt: 1:   chapitre 07 01 principle D induction mathematique
  319.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  320.    wt: 1:   chapitre 06 00 Chaines de la raison
  321.    wt: 1:   chapitre 05 00 Deception
  322.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  323.    wt: 1:   chapitre 04 09 Regles accidentelles
  324.    wt: 1:   chapitre 04 08 Limitations et benefices
  325.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  326.    wt: 1:   chapitre 04 06 engagements
  327.    wt: 1:   chapitre 04 05 Implication versus suggestion
  328.    wt: 1:   chapitre 04 04 Parlons de la logique
  329.    wt: 1:   chapitre 04 02 Deuxieme enigme
  330.    wt: 1:   chapitre 04 01 Premiere enigme
  331.    wt: 1:   chapitre 04 00 Les regles d implication
  332.    wt: 1:   chapitre 02 00 La Communication des idees
  333.    wt: 1:   chapitre 01 00 Introduction
  334.    wt: 1:   liens
  335.    wt: 1:   3 Energy Power Heat08
  336.    wt: 1:   E Wire Resistance Calculation03
  337.    wt: 1:   A Wire Resistance Qualitative01
  338.    wt: 1:   3 Like resistors in parallel
  339.    wt: 1:   B Electromotive force conventional current01
  340.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  341.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  342.    wt: 1:   10 Ends values for work study instruction
  343.    wt: 1:   Ages 12 to 14 Skills with take home value
  344.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  345.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  346.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  347.    wt: 1:   3 Polynomials Multiplication Addition
  348.    wt: 1:   13 cosecant function Definition Graph and Inverse
  349.    wt: 1:   3 Left Inverse of cosine arccos definition
  350.    wt: 1:   2 Radian Measure Numerical Value of one degree
  351.    wt: 1:   3 graphing y=f(x c) plus K
  352.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  353.    wt: 1:   Straight Lines Intersection of
  354.    wt: 1:   14 Straight Lines Equations General Case
  355.    wt: 1:   11 Straight Lines Graphing y=mx
  356.    wt: 1:   10 Straight Lines through Origin Equations More
  357.    wt: 1:   9 Straight Lines through Origin Equations
  358.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  359.    wt: 1:   30 unit circle calculation of six trigonometric functions
  360.    wt: 1:   24 tangent Angle Difference Formula
  361.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  362.    wt: 1:   17G Pythagorean Theorem Converse
  363.    wt: 1:   17A The complex number valued trig function cis
  364.    wt: 1:   15 sine cosine Complementary Angle Relations
  365.    wt: 1:   13 Graph of tangent function many periods
  366.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  367.    wt: 1:   15 Pythagorean Theorem Converse
  368.    wt: 1:   9 The complex number valued trig function cis
  369.    wt: 1:   5 An Easy Proof of the Distributive Law
  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:   10 Names for Big Numbers and Powers of Ten Expansion
  460.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  461.    wt: 1:   Expression Evaluation how to show work
  462.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  463.    wt: 1:   016 Numbering Occidental Calendar Days
  464.    wt: 1:   015 School and work day counting tables
  465.    wt: 1:   014 Counting Days with Calendars
  466.    wt: 1:   012 Division of Time Intervals by Time Intervals
  467.    wt: 1:   011 Division of Time Intervals By Numbers
  468.    wt: 1:   010 Repeated Addition of Time Intervals
  469.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  470.    wt: 1:   8 Addition of Time Intervals via subtotaling
  471.    wt: 1:   7 Addition of Time Intervals
  472.    wt: 1:   6 How long is a million seconds
  473.    wt: 1:   5 Conversion Arithmetic
  474.    wt: 1:   4 Mixing and Changing Units of Time
  475.    wt: 1:   2 Time and Date Matters in School
  476.    wt: 1:   1 Intro of Kids To Time Date Skills
  477.    wt: 1:   5 Area Under Curve Exercise
  478.    wt: 1:   4 Definite Integrals Evaluation Exercises
  479.    wt: 1:   2 Indefinite Integrals Exercises
  480.    wt: 1:   1 Chain Rule in Reverse Integration Method
  481.    wt: 1:   Postscript More on Better Performance
  482.    wt: 1:   Postscript For Better Performance
  483.    wt: 1:   Appendix E. How To Study Mathematics and Why
  484.    wt: 1:   Appendix D. What to do in School and Why
  485.    wt: 1:   Appendix B. How To Learn
  486.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  487.    wt: 1:   Chapter 28 Occurrence Tables
  488.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  489.    wt: 1:   Chapter 25. Mathematical Induction Examples
  490.    wt: 1:   Chapter 25. Mathematical Induction Examples
  491.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  492.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  493.    wt: 1:   Chapter 21. Third Reading Guide
  494.    wt: 1:   Chapter 20. Degrees and Radians
  495.    wt: 1:   Chapter 19. Functions and Sets
  496.    wt: 1:   Chapter 18. Rules for Algebra
  497.    wt: 1:   Chapter 15. Solving Linear Equations
  498.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  499.    wt: 1:   Chapter 12. Shorthand Usage Guide
  500.    wt: 1:   Chapter 11. Why Shorthand
  501.    wt: 1:   Chapter 10 Describing and Changing Calculations
  502.    wt: 1:   Postscript What is a Variable
  503.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  504.    wt: 1:   Chapter 8 Three Skills For Algebra
  505.    wt: 1:   Solutions For Arithmetic Exercises
  506.    wt: 1:   Chapter 6 Change of Language
  507.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  508.    wt: 1:   Chapter 4 Longer Chains of Reason
  509.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  510.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  511.    wt: 1:   Foreword
  512.    wt: 1:   Annotated Links to Material Elsehwere
  513.    wt: 1:   Postscript B Mathematics Education References
  514.    wt: 1:   Chapter 12 Four Phases
  515.    wt: 1:   Chapter 11 Elementary Instruction
  516.    wt: 1:   Chapter 10 Transition
  517.    wt: 1:   Chapter 9 The Two Ends
  518.    wt: 1:   Chapter 8 Modern Instruction
  519.    wt: 1:   Chapter 7 Two Treatments of Geometry
  520.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  521.    wt: 1:   Chapter 5 Four References
  522.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  523.    wt: 1:   Chapter 2 For and Against Mathematics
  524.    wt: 1:   Chapter 1 Introduction
  525.    wt: 1:   Foreword
  526.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  527.    wt: 1:   Postscript C Consistency as a Tool for Reason
  528.    wt: 1:   Postscript B More on Story Telling and Reason
  529.    wt: 1:   Postscript A Story Telling
  530.    wt: 1:   Chapter 24 Direct and Indirect Reason
  531.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  532.    wt: 1:   Chapter 21 Occurrence Tables
  533.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  534.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  535.    wt: 1:   Chapter 18 Sense and Knowledge
  536.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  537.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  538.    wt: 1:   Chapter 15 Objective Processes
  539.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  540.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  541.    wt: 1:   Chapter 11 Accidental Patterns
  542.    wt: 1:   Chapter 10 Responsibility
  543.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  544.    wt: 1:   Chapter 8 Change of Language
  545.    wt: 1:   Chapter 7 Longer Chains of Reason
  546.    wt: 1:   Chapter 6 Chains of Reason
  547.    wt: 1:   Chapter 5 Deception
  548.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  549.    wt: 1:   Chapter 2 Skill Development
  550.    wt: 1:   Chapter 1 Introduction
  551.    wt: 1:   Three Remarks
  552.    wt: 1:   Foreword
  553.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  554.    wt: 1:   M Words to extend arithmetic
  555.    wt: 1:   L Skills with take home value
  556.    wt: 1:   C. Domino effect of being careful
  557.    wt: 1:   Helping the Blind in Logic and Mathematics
  558.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  559.    wt: 1:   Which Way To Go
  560.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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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

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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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