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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

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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.

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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:   5 Lessons on Integration/
  20.    wt: 1:   70 Calculus Starter Lessons/
  21.    wt: 1:   Volume 2 Three Skills For Algebra/
  22.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  23.    wt: 1:   Volume 1A Pattern Based Reason/
  24.    wt: 1:   Volume 1 Elements of Reason/
  25.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

185 matches:

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

Extended Search

533 matches:

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

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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