Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
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Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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26 matches:

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

Web Page Search

211 matches:

  1.    wt: 4:   13 From one to one to many to one
  2.    wt: 4:   Postscript One Sided and Intermediate Value Theorems
  3.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  4.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  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:   9 Volume of Cone
  9.    wt: 2:   3 More One Digit Multipliers
  10.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  11.    wt: 2:   Example 2 volume of a cone
  12.    wt: 2:   A Related Material in Volume 3
  13.    wt: 2:   A Related lessons in Volume 3
  14.    wt: 2:   34 Derivative of exponential function
  15.    wt: 2:   33 Chain Rule Real Player video examples
  16.    wt: 2:   10 Three one sided limits with infinite values
  17.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  18.    wt: 2:   Fall 1983 Calculus Appetizer
  19.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  20.    wt: 1:   Skills Chapter 5 Calculus
  21.    wt: 1:   Skills Chapter 3 Algebra
  22.    wt: 1:   5 logarithms and exponentials etc
  23.    wt: 1:   3 Euclidean Geometry Leanly
  24.    wt: 1:   Postscript 2007 01 10
  25.    wt: 1:   Secondary One Mathematics
  26.    wt: 1:   05 13 OldSiteEntrancePage
  27.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  28.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  29.    wt: 1:   3 Energy Power Heat08
  30.    wt: 1:   C Energy Power03
  31.    wt: 1:   E Wire Resistance Calculation03
  32.    wt: 1:   3 Like resistors in parallel
  33.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  34.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  35.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  36.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  37.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  38.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  39.    wt: 1:   13 Addition and Addition Tables
  40.    wt: 1:   3 Preparing for Science Studies
  41.    wt: 1:   Ages 3 plus to 4 plus
  42.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  43.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  44.    wt: 1:   sign monoticity analysis example 3
  45.    wt: 1:   26 Function definitions done and coming
  46.    wt: 1:   23 Inverse Functions
  47.    wt: 1:   11 Function Domain Range Source and Targets
  48.    wt: 1:   3 Formula or function graphing exercise
  49.    wt: 1:   3 quadratics factoring by inspection
  50.    wt: 1:   10 Exponential Growth and Decay Models
  51.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  52.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  53.    wt: 1:   3 Polynomials Multiplication Addition
  54.    wt: 1:   13 cosecant function Definition Graph and Inverse
  55.    wt: 1:   3 Left Inverse of cosine arccos definition
  56.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  57.    wt: 1:   2 Radian Measure Numerical Value of one degree
  58.    wt: 1:   13 Velocity Vectors in Physics
  59.    wt: 1:   11 Component Method
  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:   13 Graph of tangent function many periods
  69.    wt: 1:   12 Graph of tangent function for one period
  70.    wt: 1:   9 Graphs of sine and cosine over one period
  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:   21 Logarithms Powers and Exponentials
  74.    wt: 1:   13 Trig Formulas for dot and cross Products
  75.    wt: 1:   3 Addition Properties
  76.    wt: 1:   3 Trigonometric Ratios sine and cosine
  77.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  78.    wt: 1:   3 Similarity by Design with coordinates
  79.    wt: 1:   3 Slope product for perpendicular lines
  80.    wt: 1:   13 Pythagorean spatial distance formulas
  81.    wt: 1:   3 Rectangular Coordinates Review
  82.    wt: 1:   13 Angle Side Angle Failure
  83.    wt: 1:   3 Isometry of Triangles Congruence
  84.    wt: 1:   3 Lengths and Areas on Maps and Plans
  85.    wt: 1:   23 Distributive Law Two Derivations
  86.    wt: 1:   13 Arrows and Vectors in a Plane
  87.    wt: 1:   3 Location of Point in Decimal Multiplication
  88.    wt: 1:   3 Multiplicative Counting Skills Principles
  89.    wt: 1:   3 Inequalities Algebraically
  90.    wt: 1:   3 Proportionality Examples
  91.    wt: 1:   3 Linear Equation Literal Solution More
  92.    wt: 1:   3 Product Axioms Two Forms
  93.    wt: 1:   3 More and Less Than with Unlike Signs
  94.    wt: 1:   13 Real Number Subtraction
  95.    wt: 1:   3 Fractions
  96.    wt: 1:   3 Geometric Formulas and Function Notation
  97.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  98.    wt: 1:   3 GE III Equation Addition and Multiplication
  99.    wt: 1:   3 Solving triangular system example
  100.    wt: 1:   2 Essentially one exercises three with solution
  101.    wt: 1:   1 Essentially One Unknown
  102.    wt: 1:   3 Four Examples
  103.    wt: 1:   10 One Example
  104.    wt: 1:   8 One Example
  105.    wt: 1:   3 Two Examples
  106.    wt: 1:   13 Naming Identifying Formulas with Words
  107.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  108.    wt: 1:   11 Volume of Sphere
  109.    wt: 1:   10 Volume of Pyramid
  110.    wt: 1:   5 Box Volume Formula Example
  111.    wt: 1:   3 Triangle Area Formula Example
  112.    wt: 1:   3 Counting with Sets etc
  113.    wt: 1:   3 Adding Words To Arithmetic
  114.    wt: 1:   3 Comparison of Negative Numbers
  115.    wt: 1:   3 Properties of Square Roots with example
  116.    wt: 1:   13 GCD from given Prime Factorization
  117.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  118.    wt: 1:   3 Counting with Tables and Trees II
  119.    wt: 1:   3 signed coordinates for maps and planes
  120.    wt: 1:   3 Multiplying Units and Numbers
  121.    wt: 1:   13 Fraction Comparison Algebraic View
  122.    wt: 1:   3 Unit fraction of a fraction
  123.    wt: 1:   13 Subtraction with Additive Inverse
  124.    wt: 1:   3 Adding Movements with same direction
  125.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  126.    wt: 1:   26 Divisibility by 2 3 5 Example
  127.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  128.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  129.    wt: 1:   23 Remainder Arithmetic Modulo 2
  130.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  131.    wt: 1:   21 Remainder Arithmetic Modulo 3
  132.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  133.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  134.    wt: 1:   13 video Factors of 24 using prime
  135.    wt: 1:   10 video Prime Factorization upto 23 squared
  136.    wt: 1:   3 video Primes and Composites from 9 times table
  137.    wt: 1:   Long Division forwards and backwards Example 3
  138.    wt: 1:   3 Division Single Digit Divisor Example
  139.    wt: 1:   2 One Digit Multipliers
  140.    wt: 1:   1 Why 3 times 5 gives 15
  141.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  142.    wt: 1:   3. How to add with decimals A sans conversions
  143.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  144.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  145.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  146.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  147.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  148.    wt: 1:   013 Travel Time Tables
  149.    wt: 1:   3 Units and Lengths of Time
  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:   31 Derivatives of inverse functions
  158.    wt: 1:   30Chain Rule A Proof
  159.    wt: 1:   23 Chain Rule in general
  160.    wt: 1:   15 sine and cosine derivatives 3rd step
  161.    wt: 1:   13 sine and cosine derivatives 1st step
  162.    wt: 1:   3 Motivation for Limit Definition Take 2
  163.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  164.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  165.    wt: 1:   3 Decimal insights for limits continuity convergence
  166.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  167.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  168.    wt: 1:   G.3 Constant Difference Theorem Proof
  169.    wt: 1:   F.5a Equicontinuity Theorems
  170.    wt: 1:   F.3 Intermediate Value Theorem
  171.    wt: 1:   F.2 Closed Range Theorem
  172.    wt: 1:   D2 Limits of Monotone Sequences
  173.    wt: 1:   B3 Bolzano Weierstrass Theorem
  174.    wt: 1:   PostScript For and Against Decimal Perspectives
  175.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  176.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  177.    wt: 1:   Chapter 23 Links To Trigonometry
  178.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  179.    wt: 1:   Chapter 13. Acceleration
  180.    wt: 1:   Chapter 9 About First Courses in Calculus
  181.    wt: 1:   Chapter 3. Slope Sign Analysis
  182.    wt: 1:   Postscript More on Better Performance
  183.    wt: 1:   Postscript For Better Performance
  184.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  185.    wt: 1:   Chapter 31 Direct and Indirect Reason
  186.    wt: 1:   Chapter 30 Truth Tables
  187.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  188.    wt: 1:   Chapter 23. Notation For Sums
  189.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  190.    wt: 1:   Chapter 13. Second Reading Guide
  191.    wt: 1:   Postscript What is a Variable
  192.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  193.    wt: 1:   Chapter 3 Chains of Reason
  194.    wt: 1:   Postscript B Mathematics Education References
  195.    wt: 1:   Postscript A Three Remarks
  196.    wt: 1:   Chapter 3 Algebra Difficulties
  197.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  198.    wt: 1:   Postscript C Consistency as a Tool for Reason
  199.    wt: 1:   Postscript B More on Story Telling and Reason
  200.    wt: 1:   Postscript A Story Telling
  201.    wt: 1:   Chapter 23 Truth Tables
  202.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  203.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  204.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  205.    wt: 1:   Chapter 3 Algebra Starter Lessons
  206.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  207.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  208.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  209.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  210.    wt: 1:   More Algebra and Slope based Calculus Preview
  211.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

550 matches:

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

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The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
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Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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