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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.

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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:   5 Lessons on Integration/
  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:   Step 4 Gaussian Elimination/
  16.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  17.    wt: 1:   Step 1 Stick diagram and fractions/
  18.    wt: 1:   3 Solving Linear Equations/
  19.    wt: 1:   C Decimal Multiplication Methods/
  20.    wt: 1:   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

173 matches:

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

Extended Search

530 matches:

  1.    wt: 9:   G.2 Lipshitz Conditions Integration Calculus Reform
  2.    wt: 8:   B3 Bolzano Weierstrass Theorem
  3.    wt: 7:   G.1 First Fundamental Theorem of Calculus
  4.    wt: 7:   G.3 Constant Difference Theorem Proof
  5.    wt: 7:   F.5a Equicontinuity Theorems
  6.    wt: 7:   F.3 Intermediate Value Theorem
  7.    wt: 7:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  8.    wt: 6:   Postscript One Sided and Intermediate Value Theorems
  9.    wt: 6:   G.6 Bounded Derivatives implies Lipshitz Continuity
  10.    wt: 6:   G.5 Motions With Bounded Velocities
  11.    wt: 6:   G.4 Lipschitz Continuity implies EquiContinuity
  12.    wt: 6:   G.2 Differentiable Functions Mean Value Theorem
  13.    wt: 6:   G.1 Differentiable Functions Rolles Theorem
  14.    wt: 6:   F.5b Extreme Value Theorem
  15.    wt: 6:   F.4 Finite Covering Theorem
  16.    wt: 6:   F.2 Closed Range Theorem
  17.    wt: 6:   F.1 What Functions are Continuous
  18.    wt: 6:   E2 Algebraic Properties of Limits
  19.    wt: 6:   E1 Error Control Inequalities
  20.    wt: 6:   D2 Limits of Monotone Sequences
  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:   PostScript For and Against Decimal Perspectives
  25.    wt: 6:   A1. Introduction
  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:   13 Velocity Vectors in Physics
  32.    wt: 4:   3 Navigation with Arrows or Vectors
  33.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  34.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  35.    wt: 4:   13 Pythagorean spatial distance formulas
  36.    wt: 4:   3 Rectangular Coordinates Review
  37.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  38.    wt: 4:   13 video Factors of 24 using prime
  39.    wt: 4:   3 video Primes and Composites from 9 times table
  40.    wt: 4:   Example 3
  41.    wt: 4:   A Related Material in Volume 3
  42.    wt: 4:   A Related lessons in Volume 3
  43.    wt: 4:   33 Chain Rule Real Player video examples
  44.    wt: 4:   31 Derivatives of inverse functions
  45.    wt: 4:   Chapter 18. Slopes Areas Integration
  46.    wt: 4:   Chapter 9 About First Courses in Calculus
  47.    wt: 3:   Skills Chapter 3 Algebra
  48.    wt: 3:   3 quadratics factoring by inspection
  49.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  50.    wt: 3:   3 GE III Equation Addition and Multiplication
  51.    wt: 3:   4 Solving a triangular system exercise
  52.    wt: 3:   2 Essentially one exercises three with solution
  53.    wt: 3:   1 Essentially One Unknown
  54.    wt: 3:   3 Four Examples
  55.    wt: 3:   3 Two Examples
  56.    wt: 3:   10 video Prime Factorization upto 23 squared
  57.    wt: 3:   3 More One Digit Multipliers
  58.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  59.    wt: 3:   Example 2 volume of a cone
  60.    wt: 3:   Example 1 volume of a pyramid
  61.    wt: 3:   Volume of Solid by Cross Sections Lesson
  62.    wt: 3:   Example 4 with x function of y
  63.    wt: 3:   Example 2
  64.    wt: 3:   Example 1
  65.    wt: 3:   3 Two Chain Rule Method Exercises
  66.    wt: 3:   1 Chain Rule in Reverse Integration Method
  67.    wt: 3:   3 Second derivative test
  68.    wt: 3:   2 Second derivative test prequel
  69.    wt: 3:   38 Formulas and derivatives for powers and roots
  70.    wt: 3:   36 Cube root derivative animated
  71.    wt: 3:   34 Derivative of exponential function
  72.    wt: 3:   30Chain Rule A Proof
  73.    wt: 3:   23 Chain Rule in general
  74.    wt: 3:   22 Chain Rule for polynomials
  75.    wt: 3:   15 sine and cosine derivatives 3rd step
  76.    wt: 3:   13 sine and cosine derivatives 1st step
  77.    wt: 3:   12 Quotient rule examples
  78.    wt: 3:   5 Product Rule
  79.    wt: 3:   3 Motivation for Limit Definition Take 2
  80.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  81.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  82.    wt: 3:   4 Numerical properties
  83.    wt: 3:   3 Decimal insights for limits continuity convergence
  84.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  85.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  86.    wt: 3:   Chapter 22 Complex Numbers
  87.    wt: 3:   Chapter 21 Arrow Addition
  88.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  89.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  90.    wt: 3:   Chapter 17. Area Approximation
  91.    wt: 3:   Chapter 16. Velocity Approximation
  92.    wt: 3:   Chapter 15. Slope Approximation
  93.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  94.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  95.    wt: 3:   Chapter 12. Units and Slopes
  96.    wt: 3:   Chapter 11. Graphing Slope versus Position
  97.    wt: 3:   Chapter 10 Slopes and Units
  98.    wt: 3:   Chapter 8. Slope Interpretation
  99.    wt: 3:   Chapter 7 Slopes and Velocity
  100.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  101.    wt: 3:   Chapter 5. Slope Sign Tests
  102.    wt: 3:   Chapter 4. More Slope Sign Analysis
  103.    wt: 3:   Chapter 2. Slopes and Ski Trails
  104.    wt: 3:   Chapter 1.Introduction
  105.    wt: 3:   Foreword
  106.    wt: 3:   Chapter 31 Direct and Indirect Reason
  107.    wt: 3:   Chapter 30 Truth Tables
  108.    wt: 3:   Chapter 23. Notation For Sums
  109.    wt: 3:   Chapter 13. Second Reading Guide
  110.    wt: 3:   Chapter 3 Chains of Reason
  111.    wt: 3:   Chapter 3 Algebra Difficulties
  112.    wt: 3:   Chapter 23 Truth Tables
  113.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  114.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  115.    wt: 3:   More Algebra and Slope based Calculus Preview
  116.    wt: 3:   Systematic Algebra Skill Development Missing Links
  117.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  118.    wt: 2:   Skills Chapter 5 Calculus
  119.    wt: 2:   Ramblings Extrinsic numbers theory
  120.    wt: 2:   Ramblings Introduction Algebra Essay
  121.    wt: 2:   3 Euclidean Geometry Leanly
  122.    wt: 2:   Education Reform Inconsistencies
  123.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  124.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  125.    wt: 2:   C Energy Power03
  126.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  127.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  128.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  129.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  130.    wt: 2:   13 Addition and Addition Tables
  131.    wt: 2:   3 Preparing for Science Studies
  132.    wt: 2:   Ages 3 plus to 4 plus
  133.    wt: 2:   sign monoticity analysis example 3
  134.    wt: 2:   23 Inverse Functions
  135.    wt: 2:   13 From one to one to many to one
  136.    wt: 2:   3 Formula or function graphing exercise
  137.    wt: 2:   A Quadratics Summary
  138.    wt: 2:   10 quadratic exercises
  139.    wt: 2:   9 quadratics physical and further context
  140.    wt: 2:   8 quadratics backward use of various formulas
  141.    wt: 2:   7 quadratic formulla derivation
  142.    wt: 2:   6 quadratics numerical approach
  143.    wt: 2:   5 quadratics completing the square
  144.    wt: 2:   4 quadratics difference of two squares
  145.    wt: 2:   2 quadratics graphing in general
  146.    wt: 2:   1 quadratics graphing exercises
  147.    wt: 2:   Quadratics in 10 steps
  148.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  149.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  150.    wt: 2:   A Global Time and Navigation
  151.    wt: 2:   15 Dot and Cross Product
  152.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  153.    wt: 2:   12 From Applied To Pure Mathematics
  154.    wt: 2:   11 Component Method
  155.    wt: 2:   10 Parallelogram Addition Method
  156.    wt: 2:   9 Head to Tail Coordinate View
  157.    wt: 2:   8 Parallel Vectors
  158.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  159.    wt: 2:   6 Vectors with Coordinates
  160.    wt: 2:   5 Head To Tail Arrow Addition
  161.    wt: 2:   4 Resultant of a Sum of Movements
  162.    wt: 2:   2 Signed Coordinates
  163.    wt: 2:   1 Unsigned Coordinates
  164.    wt: 2:   Vector and Complex Number Applet
  165.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  166.    wt: 2:   12 Straight Lines Graphing mx plus b
  167.    wt: 2:   32 seven rows of pascals triangle
  168.    wt: 2:   31 basic secant cosecant cotangent trig identities
  169.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  170.    wt: 2:   13 Trig Formulas for dot and cross Products
  171.    wt: 2:   3 Addition Properties
  172.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  173.    wt: 2:   3 Similarity by Design with coordinates
  174.    wt: 2:   3 Slope product for perpendicular lines
  175.    wt: 2:   12 Spatial Coordinates
  176.    wt: 2:   11 Triangle Inequality
  177.    wt: 2:   10 Pythagorean plane distance formula
  178.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  179.    wt: 2:   8 Distance Between Points on a Line
  180.    wt: 2:   7 Complex Numbers Appetizer
  181.    wt: 2:   6 Polar Multiplication and Rotation
  182.    wt: 2:   5 Cartesian Addition and Translation
  183.    wt: 2:   4 Polar Coordinates to and from
  184.    wt: 2:   2 Cartesian Coordinates with signs
  185.    wt: 2:   1 Cartesian Coordinates sans signs
  186.    wt: 2:   13 Angle Side Angle Failure
  187.    wt: 2:   3 Isometry of Triangles Congruence
  188.    wt: 2:   23 Distributive Law Two Derivations
  189.    wt: 2:   3 Multiplicative Counting Skills Principles
  190.    wt: 2:   3 Proportionality Examples
  191.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  192.    wt: 2:   3 Comparison of Negative Numbers
  193.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  194.    wt: 2:   3 Unit fraction of a fraction
  195.    wt: 2:   3 Adding Movements with same direction
  196.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  197.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  198.    wt: 2:   20 Uniqueness of Prime Factorization
  199.    wt: 2:   19 video Prime Factorization Unique
  200.    wt: 2:   18 video Count Factors given Prime Factorization
  201.    wt: 2:   17 Identify and Count Factors using Primes
  202.    wt: 2:   16 video Factors of 980 using prime
  203.    wt: 2:   15 video Factors of 20 using Prime Factorization
  204.    wt: 2:   14 video Factors of 24 Take II
  205.    wt: 2:   12 LCD GCD and LCM using Primes
  206.    wt: 2:   11 Efficient Square Rule Use
  207.    wt: 2:   9 video Prime Factorization upto 19 squared
  208.    wt: 2:   8 video Prime Factorization upto 19
  209.    wt: 2:   7 Calculator Usage Notes and Cautions
  210.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  211.    wt: 2:   5 Prime Factorization and a Square Rule
  212.    wt: 2:   4 video Prime Factorization Introduction
  213.    wt: 2:   2 Prime and Composites less than 16
  214.    wt: 2:   1 video how Products are bigger than factor
  215.    wt: 2:   3 Division Single Digit Divisor Example
  216.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  217.    wt: 2:   1 Why 3 times 5 gives 15
  218.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  219.    wt: 2:   3. How to add with decimals A sans conversions
  220.    wt: 2:   Example 1. Area Between x and x squared
  221.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  222.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  223.    wt: 2:   Area Between Curves Lesson Take 2
  224.    wt: 2:   Area Between Curves Lesson Take 1
  225.    wt: 2:   Summary
  226.    wt: 2:   5 Area Under Curve Exercise
  227.    wt: 2:   4 Definite Integrals Evaluation Exercises
  228.    wt: 2:   2 Indefinite Integrals Exercises
  229.    wt: 2:   4 Second derivative test exercise example
  230.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  231.    wt: 2:   A Chain Rule Real Player video examples
  232.    wt: 2:   29 Chain Rule Optional Reading
  233.    wt: 2:   28 Chain Rule Preparation for a Proof
  234.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  235.    wt: 2:   26 Chain Rule Recognising outer inner functions
  236.    wt: 2:   25 Chain Rule Animated Examples Continued
  237.    wt: 2:   24 Chain Rule Animated Examples
  238.    wt: 2:   21 Chain Rule for powers
  239.    wt: 2:   20 Chain Rule for Pulley Systems
  240.    wt: 2:   19 Chain Rule for linear functions
  241.    wt: 2:   18 Chain Rule Introduction
  242.    wt: 2:   17 Derivatives of quotients of sine and cosine
  243.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  244.    wt: 2:   14 sine and cosine derivatives 2nd step
  245.    wt: 2:   11 Quotient rule
  246.    wt: 2:   10 Power rule for negative integers
  247.    wt: 2:   9 Reciprocal rule
  248.    wt: 2:   8 Differentiation of polynomials
  249.    wt: 2:   7 Animated Differentiation Examples
  250.    wt: 2:   6 Power rule from product rule
  251.    wt: 2:   4 Sum Rule
  252.    wt: 2:   2 Motivation for Limit Definition Take 1
  253.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  254.    wt: 2:   11 Limits at infinity Three Examples
  255.    wt: 2:   10 Three one sided limits with infinite values
  256.    wt: 2:   9 Limits Continuity and Composition
  257.    wt: 2:   8 Four Animated Examples
  258.    wt: 2:   7 Evaluation by immediate or delayed substitution
  259.    wt: 2:   6 Continuity at a point
  260.    wt: 2:   5 Jumps and absence of unlimited error control
  261.    wt: 2:   2 Algebraic codification
  262.    wt: 2:   1 Numerical introduction
  263.    wt: 2:   Appendix C. How to Read
  264.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  265.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  266.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  267.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  268.    wt: 2:   Postscript A Three Remarks
  269.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  270.    wt: 2:   Chapter 3 Algebra Starter Lessons
  271.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  272.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  273.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  274.    wt: 2:   Implementation Notes
  275.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  276.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  277.    wt: 1:   Appendix 2 primary school Arithmetic 01
  278.    wt: 1:   Appendix 1 primary and preschool mathematic
  279.    wt: 1:   K LAMP Musings Science Education
  280.    wt: 1:   J LAMP Introduction Extrinsic Origins
  281.    wt: 1:   I LAMP Introduction Study Habits
  282.    wt: 1:   H LAMP Introduction Instructional Concepts
  283.    wt: 1:   G LAMP Introduction Problem Solving Skills
  284.    wt: 1:   F LAMP Introduction Prerequisites
  285.    wt: 1:   E LAMP Introduction Modern Mathematics
  286.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  287.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  288.    wt: 1:   A Introduction Objectives
  289.    wt: 1:   Skills Chapter 4 Logic
  290.    wt: 1:   Skills Chapter 2 Geometry
  291.    wt: 1:   Skills Chapter 1 Arithmetic
  292.    wt: 1:   Skills Chapter 0 Introduction
  293.    wt: 1:   permissions for teachers
  294.    wt: 1:   Math Ed if it must be short make it lean effective
  295.    wt: 1:   modern education
  296.    wt: 1:   learning takes time
  297.    wt: 1:   grouping students according to ability
  298.    wt: 1:   what should be learnt and When
  299.    wt: 1:   mathematics in context
  300.    wt: 1:   Postscript 2007 01 10
  301.    wt: 1:   five decades make a difference
  302.    wt: 1:   teaching tutoring algebraic reason
  303.    wt: 1:   the trouble with algebra
  304.    wt: 1:   05 13 OldSiteEntrancePage
  305.    wt: 1:   Theory of Knowledge
  306.    wt: 1:   Different Kinds of Reasoning in maths
  307.    wt: 1:   chapitre 12 00 les iles et division
  308.    wt: 1:   chapitre 07 01 principle D induction mathematique
  309.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  310.    wt: 1:   chapitre 06 00 Chaines de la raison
  311.    wt: 1:   chapitre 05 00 Deception
  312.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  313.    wt: 1:   chapitre 04 09 Regles accidentelles
  314.    wt: 1:   chapitre 04 08 Limitations et benefices
  315.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  316.    wt: 1:   chapitre 04 06 engagements
  317.    wt: 1:   chapitre 04 05 Implication versus suggestion
  318.    wt: 1:   chapitre 04 04 Parlons de la logique
  319.    wt: 1:   chapitre 04 02 Deuxieme enigme
  320.    wt: 1:   chapitre 04 01 Premiere enigme
  321.    wt: 1:   chapitre 04 00 Les regles d implication
  322.    wt: 1:   chapitre 02 00 La Communication des idees
  323.    wt: 1:   chapitre 01 00 Introduction
  324.    wt: 1:   liens
  325.    wt: 1:   3 Energy Power Heat08
  326.    wt: 1:   E Wire Resistance Calculation03
  327.    wt: 1:   A Wire Resistance Qualitative01
  328.    wt: 1:   3 Like resistors in parallel
  329.    wt: 1:   B Electromotive force conventional current01
  330.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  331.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  332.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  333.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  334.    wt: 1:   3 Polynomials Multiplication Addition
  335.    wt: 1:   13 cosecant function Definition Graph and Inverse
  336.    wt: 1:   3 Left Inverse of cosine arccos definition
  337.    wt: 1:   3 graphing y=f(x c) plus K
  338.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  339.    wt: 1:   Straight Lines Intersection of
  340.    wt: 1:   14 Straight Lines Equations General Case
  341.    wt: 1:   11 Straight Lines Graphing y=mx
  342.    wt: 1:   10 Straight Lines through Origin Equations More
  343.    wt: 1:   9 Straight Lines through Origin Equations
  344.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  345.    wt: 1:   30 unit circle calculation of six trigonometric functions
  346.    wt: 1:   24 tangent Angle Difference Formula
  347.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  348.    wt: 1:   15 sine cosine Complementary Angle Relations
  349.    wt: 1:   13 Graph of tangent function many periods
  350.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  351.    wt: 1:   3 Trigonometric Ratios sine and cosine
  352.    wt: 1:   6 Geometric Diagrams in Class
  353.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  354.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  355.    wt: 1:   3 Lengths and Areas on Maps and Plans
  356.    wt: 1:   26 More Less Greater Than Comparison
  357.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  358.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  359.    wt: 1:   22 Multiplication of Signed Numbers
  360.    wt: 1:   13 Arrows and Vectors in a Plane
  361.    wt: 1:   3 Location of Point in Decimal Multiplication
  362.    wt: 1:   3 Inequalities Algebraically
  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:   Postscript More on Better Performance
  448.    wt: 1:   Postscript For Better Performance
  449.    wt: 1:   Appendix E. How To Study Mathematics and Why
  450.    wt: 1:   Appendix D. What to do in School and Why
  451.    wt: 1:   Appendix B. How To Learn
  452.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  453.    wt: 1:   Chapter 28 Occurrence Tables
  454.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  455.    wt: 1:   Chapter 25. Mathematical Induction Examples
  456.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  457.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  458.    wt: 1:   Chapter 21. Third Reading Guide
  459.    wt: 1:   Chapter 20. Degrees and Radians
  460.    wt: 1:   Chapter 19. Functions and Sets
  461.    wt: 1:   Chapter 18. Rules for Algebra
  462.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  463.    wt: 1:   Chapter 16. Painless Theorem Proving
  464.    wt: 1:   Chapter 15. Solving Linear Equations
  465.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  466.    wt: 1:   Chapter 12. Shorthand Usage Guide
  467.    wt: 1:   Chapter 11. Why Shorthand
  468.    wt: 1:   Chapter 10 Describing and Changing Calculations
  469.    wt: 1:   Postscript What is a Variable
  470.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  471.    wt: 1:   Chapter 8 Three Skills For Algebra
  472.    wt: 1:   Solutions For Arithmetic Exercises
  473.    wt: 1:   Chapter 6 Change of Language
  474.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  475.    wt: 1:   Chapter 4 Longer Chains of Reason
  476.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  477.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  478.    wt: 1:   Foreword
  479.    wt: 1:   Annotated Links to Material Elsehwere
  480.    wt: 1:   Postscript B Mathematics Education References
  481.    wt: 1:   Chapter 12 Four Phases
  482.    wt: 1:   Chapter 11 Elementary Instruction
  483.    wt: 1:   Chapter 10 Transition
  484.    wt: 1:   Chapter 9 The Two Ends
  485.    wt: 1:   Chapter 8 Modern Instruction
  486.    wt: 1:   Chapter 7 Two Treatments of Geometry
  487.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  488.    wt: 1:   Chapter 5 Four References
  489.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  490.    wt: 1:   Chapter 2 For and Against Mathematics
  491.    wt: 1:   Chapter 1 Introduction
  492.    wt: 1:   Foreword
  493.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  494.    wt: 1:   Postscript C Consistency as a Tool for Reason
  495.    wt: 1:   Postscript B More on Story Telling and Reason
  496.    wt: 1:   Postscript A Story Telling
  497.    wt: 1:   Chapter 24 Direct and Indirect Reason
  498.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  499.    wt: 1:   Chapter 21 Occurrence Tables
  500.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  501.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  502.    wt: 1:   Chapter 18 Sense and Knowledge
  503.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  504.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  505.    wt: 1:   Chapter 15 Objective Processes
  506.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  507.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  508.    wt: 1:   Chapter 11 Accidental Patterns
  509.    wt: 1:   Chapter 10 Responsibility
  510.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  511.    wt: 1:   Chapter 8 Change of Language
  512.    wt: 1:   Chapter 7 Longer Chains of Reason
  513.    wt: 1:   Chapter 6 Chains of Reason
  514.    wt: 1:   Chapter 5 Deception
  515.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  516.    wt: 1:   Chapter 2 Skill Development
  517.    wt: 1:   Chapter 1 Introduction
  518.    wt: 1:   Three Remarks
  519.    wt: 1:   Foreword
  520.    wt: 1:   M Words to extend arithmetic
  521.    wt: 1:   C. Domino effect of being careful
  522.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  523.    wt: 1:   Helping the Blind in Logic and Mathematics
  524.    wt: 1:   Mathematics Education References
  525.    wt: 1:   Mathematics Education References
  526.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  527.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  528.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  529.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  530.    wt: 1:   Which Way To Go

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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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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