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Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

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

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

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

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

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  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/

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174 matches:

  1.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  2.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  3.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  4.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  5.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  6.    wt: 2:   A Related Material in Volume 3
  7.    wt: 2:   A Related lessons in Volume 3
  8.    wt: 2:   33 Chain Rule Real Player video examples
  9.    wt: 2:   D2 Limits of Monotone Sequences
  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:   3 Second derivative test
  132.    wt: 1:   38 Formulas and derivatives for powers and roots
  133.    wt: 1:   36 Cube root derivative animated
  134.    wt: 1:   34 Derivative of exponential function
  135.    wt: 1:   31 Derivatives of inverse functions
  136.    wt: 1:   30Chain Rule A Proof
  137.    wt: 1:   23 Chain Rule in general
  138.    wt: 1:   15 sine and cosine derivatives 3rd step
  139.    wt: 1:   13 sine and cosine derivatives 1st step
  140.    wt: 1:   3 Motivation for Limit Definition Take 2
  141.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  142.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  143.    wt: 1:   3 Decimal insights for limits continuity convergence
  144.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  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:   D1 Sets and Sequences GLBs and LGBs
  149.    wt: 1:   B3 Bolzano Weierstrass Theorem
  150.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  151.    wt: 1:   Chapter 23 Links To Trigonometry
  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 22. Geometric Sums and Sequences
  161.    wt: 1:   Chapter 13. Second Reading Guide
  162.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  163.    wt: 1:   Chapter 3 Chains of Reason
  164.    wt: 1:   Chapter 3 Algebra Difficulties
  165.    wt: 1:   Chapter 23 Truth Tables
  166.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  167.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  168.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  169.    wt: 1:   Chapter 3 Algebra Starter Lessons
  170.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  171.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  172.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  173.    wt: 1:   More Algebra and Slope based Calculus Preview
  174.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

530 matches:

  1.    wt: 8:   D2 Limits of Monotone Sequences
  2.    wt: 8:   B3 Bolzano Weierstrass Theorem
  3.    wt: 7:   G.2 Lipshitz Conditions Integration Calculus Reform
  4.    wt: 7:   G.1 First Fundamental Theorem of Calculus
  5.    wt: 7:   G.3 Constant Difference Theorem Proof
  6.    wt: 7:   F.5a Equicontinuity Theorems
  7.    wt: 7:   F.3 Intermediate Value Theorem
  8.    wt: 7:   D1 Sets and Sequences GLBs and LGBs
  9.    wt: 7:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  10.    wt: 6:   Postscript One Sided and Intermediate Value Theorems
  11.    wt: 6:   G.6 Bounded Derivatives implies Lipshitz Continuity
  12.    wt: 6:   G.5 Motions With Bounded Velocities
  13.    wt: 6:   G.4 Lipschitz Continuity implies EquiContinuity
  14.    wt: 6:   G.2 Differentiable Functions Mean Value Theorem
  15.    wt: 6:   G.1 Differentiable Functions Rolles Theorem
  16.    wt: 6:   F.5b Extreme Value Theorem
  17.    wt: 6:   F.4 Finite Covering Theorem
  18.    wt: 6:   F.2 Closed Range Theorem
  19.    wt: 6:   F.1 What Functions are Continuous
  20.    wt: 6:   E2 Algebraic Properties of Limits
  21.    wt: 6:   E1 Error Control Inequalities
  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 lessons in Volume 3
  42.    wt: 4:   33 Chain Rule Real Player video examples
  43.    wt: 4:   31 Derivatives of inverse functions
  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:   3 GE III Equation Addition and Multiplication
  49.    wt: 3:   4 Solving a triangular system exercise
  50.    wt: 3:   2 Essentially one exercises three with solution
  51.    wt: 3:   1 Essentially One Unknown
  52.    wt: 3:   3 Four Examples
  53.    wt: 3:   3 Two Examples
  54.    wt: 3:   10 video Prime Factorization upto 23 squared
  55.    wt: 3:   3 More One Digit Multipliers
  56.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  57.    wt: 3:   Example 2 volume of a cone
  58.    wt: 3:   Example 1 volume of a pyramid
  59.    wt: 3:   Volume of Solid by Cross Sections Lesson
  60.    wt: 3:   Example 4 with x function of y
  61.    wt: 3:   Example 2
  62.    wt: 3:   Example 1
  63.    wt: 3:   A Related Material in Volume 3
  64.    wt: 3:   3 Second derivative test
  65.    wt: 3:   2 Second derivative test prequel
  66.    wt: 3:   38 Formulas and derivatives for powers and roots
  67.    wt: 3:   36 Cube root derivative animated
  68.    wt: 3:   34 Derivative of exponential function
  69.    wt: 3:   30Chain Rule A Proof
  70.    wt: 3:   23 Chain Rule in general
  71.    wt: 3:   22 Chain Rule for polynomials
  72.    wt: 3:   15 sine and cosine derivatives 3rd step
  73.    wt: 3:   13 sine and cosine derivatives 1st step
  74.    wt: 3:   12 Quotient rule examples
  75.    wt: 3:   5 Product Rule
  76.    wt: 3:   3 Motivation for Limit Definition Take 2
  77.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  78.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  79.    wt: 3:   4 Numerical properties
  80.    wt: 3:   3 Decimal insights for limits continuity convergence
  81.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  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:   9 Pythagorean Theorem Chinese Square Proof
  177.    wt: 2:   8 Distance Between Points on a Line
  178.    wt: 2:   7 Complex Numbers Appetizer
  179.    wt: 2:   6 Polar Multiplication and Rotation
  180.    wt: 2:   5 Cartesian Addition and Translation
  181.    wt: 2:   4 Polar Coordinates to and from
  182.    wt: 2:   2 Cartesian Coordinates with signs
  183.    wt: 2:   1 Cartesian Coordinates sans signs
  184.    wt: 2:   13 Angle Side Angle Failure
  185.    wt: 2:   3 Isometry of Triangles Congruence
  186.    wt: 2:   23 Distributive Law Two Derivations
  187.    wt: 2:   3 Multiplicative Counting Skills Principles
  188.    wt: 2:   3 Proportionality Examples
  189.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  190.    wt: 2:   3 Comparison of Negative Numbers
  191.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  192.    wt: 2:   3 Unit fraction of a fraction
  193.    wt: 2:   3 Adding Movements with same direction
  194.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  195.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  196.    wt: 2:   20 Uniqueness of Prime Factorization
  197.    wt: 2:   19 video Prime Factorization Unique
  198.    wt: 2:   18 video Count Factors given Prime Factorization
  199.    wt: 2:   17 Identify and Count Factors using Primes
  200.    wt: 2:   16 video Factors of 980 using prime
  201.    wt: 2:   15 video Factors of 20 using Prime Factorization
  202.    wt: 2:   14 video Factors of 24 Take II
  203.    wt: 2:   12 LCD GCD and LCM using Primes
  204.    wt: 2:   11 Efficient Square Rule Use
  205.    wt: 2:   9 video Prime Factorization upto 19 squared
  206.    wt: 2:   8 video Prime Factorization upto 19
  207.    wt: 2:   7 Calculator Usage Notes and Cautions
  208.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  209.    wt: 2:   5 Prime Factorization and a Square Rule
  210.    wt: 2:   4 video Prime Factorization Introduction
  211.    wt: 2:   2 Prime and Composites less than 16
  212.    wt: 2:   1 video how Products are bigger than factor
  213.    wt: 2:   3 Division Single Digit Divisor Example
  214.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  215.    wt: 2:   1 Why 3 times 5 gives 15
  216.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  217.    wt: 2:   3. How to add with decimals A sans conversions
  218.    wt: 2:   Example 1. Area Between x and x squared
  219.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  220.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  221.    wt: 2:   Area Between Curves Lesson Take 2
  222.    wt: 2:   Area Between Curves Lesson Take 1
  223.    wt: 2:   Summary
  224.    wt: 2:   3 Two Chain Rule Method Exercises
  225.    wt: 2:   4 Second derivative test exercise example
  226.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  227.    wt: 2:   A Chain Rule Real Player video examples
  228.    wt: 2:   29 Chain Rule Optional Reading
  229.    wt: 2:   28 Chain Rule Preparation for a Proof
  230.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  231.    wt: 2:   26 Chain Rule Recognising outer inner functions
  232.    wt: 2:   25 Chain Rule Animated Examples Continued
  233.    wt: 2:   24 Chain Rule Animated Examples
  234.    wt: 2:   21 Chain Rule for powers
  235.    wt: 2:   20 Chain Rule for Pulley Systems
  236.    wt: 2:   19 Chain Rule for linear functions
  237.    wt: 2:   18 Chain Rule Introduction
  238.    wt: 2:   17 Derivatives of quotients of sine and cosine
  239.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  240.    wt: 2:   14 sine and cosine derivatives 2nd step
  241.    wt: 2:   11 Quotient rule
  242.    wt: 2:   10 Power rule for negative integers
  243.    wt: 2:   9 Reciprocal rule
  244.    wt: 2:   8 Differentiation of polynomials
  245.    wt: 2:   7 Animated Differentiation Examples
  246.    wt: 2:   6 Power rule from product rule
  247.    wt: 2:   4 Sum Rule
  248.    wt: 2:   2 Motivation for Limit Definition Take 1
  249.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  250.    wt: 2:   11 Limits at infinity Three Examples
  251.    wt: 2:   10 Three one sided limits with infinite values
  252.    wt: 2:   9 Limits Continuity and Composition
  253.    wt: 2:   8 Four Animated Examples
  254.    wt: 2:   7 Evaluation by immediate or delayed substitution
  255.    wt: 2:   6 Continuity at a point
  256.    wt: 2:   5 Jumps and absence of unlimited error control
  257.    wt: 2:   2 Algebraic codification
  258.    wt: 2:   1 Numerical introduction
  259.    wt: 2:   Appendix C. How to Read
  260.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  261.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  262.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  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:   15 sine cosine Complementary Angle Relations
  346.    wt: 1:   13 Graph of tangent function many periods
  347.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  348.    wt: 1:   3 Trigonometric Ratios sine and cosine
  349.    wt: 1:   6 Geometric Diagrams in Class
  350.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  351.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  352.    wt: 1:   3 Lengths and Areas on Maps and Plans
  353.    wt: 1:   26 More Less Greater Than Comparison
  354.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  355.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  356.    wt: 1:   22 Multiplication of Signed Numbers
  357.    wt: 1:   13 Arrows and Vectors in a Plane
  358.    wt: 1:   3 Location of Point in Decimal Multiplication
  359.    wt: 1:   3 Inequalities Algebraically
  360.    wt: 1:   3 Linear Equation Literal Solution More
  361.    wt: 1:   3 Product Axioms Two Forms
  362.    wt: 1:   3 More and Less Than with Unlike Signs
  363.    wt: 1:   13 Real Number Subtraction
  364.    wt: 1:   3 Fractions
  365.    wt: 1:   3 Geometric Formulas and Function Notation
  366.    wt: 1:   More Exercises
  367.    wt: 1:   Simple Exercises
  368.    wt: 1:   4 GE III Animated Examples
  369.    wt: 1:   2 GE II Comparison
  370.    wt: 1:   1 GE Substitution four examples
  371.    wt: 1:   6 Algebraic Solution Example
  372.    wt: 1:   5 Algebraic Solutions Introduction
  373.    wt: 1:   4 Four Examples Fractional Coefficients
  374.    wt: 1:   2 Three Examples
  375.    wt: 1:   1 Proper Equal Sign Usage
  376.    wt: 1:   Skill Development Notes
  377.    wt: 1:   10 One Example
  378.    wt: 1:   9 Three Examples
  379.    wt: 1:   8 One Example
  380.    wt: 1:   7 Two Examples
  381.    wt: 1:   6 Three Examples
  382.    wt: 1:   5 Three Examples
  383.    wt: 1:   4 Two Examples
  384.    wt: 1:   2 Three Examples
  385.    wt: 1:   Using Letters for Physical Quantities
  386.    wt: 1:   Formula Usage Show Work Format
  387.    wt: 1:   13 Naming Identifying Formulas with Words
  388.    wt: 1:   11 Volume of Sphere
  389.    wt: 1:   10 Volume of Pyramid
  390.    wt: 1:   9 Volume of Cone
  391.    wt: 1:   5 Box Volume Formula Example
  392.    wt: 1:   3 Triangle Area Formula Example
  393.    wt: 1:   3 Counting with Sets etc
  394.    wt: 1:   3 Adding Words To Arithmetic
  395.    wt: 1:   3 Properties of Square Roots with example
  396.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  397.    wt: 1:   13 GCD from given Prime Factorization
  398.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  399.    wt: 1:   2 Least Common Multiple LCM intro via list method
  400.    wt: 1:   3 Counting with Tables and Trees II
  401.    wt: 1:   3 signed coordinates for maps and planes
  402.    wt: 1:   3 Multiplying Units and Numbers
  403.    wt: 1:   13 Fraction Comparison Algebraic View
  404.    wt: 1:   A Associative Law Theorectical Note
  405.    wt: 1:   13 Subtraction with Additive Inverse
  406.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  407.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  408.    wt: 1:   26 Divisibility by 2 3 5 Example
  409.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  410.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  411.    wt: 1:   23 Remainder Arithmetic Modulo 2
  412.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  413.    wt: 1:   21 Remainder Arithmetic Modulo 3
  414.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  415.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  416.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  417.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  418.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  419.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  420.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  421.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  422.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  423.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  424.    wt: 1:   Long Division Backward
  425.    wt: 1:   Long Division forwards and backwards Example 3
  426.    wt: 1:   D Decimal Multiplication Methods Derived
  427.    wt: 1:   C Counting Areas with Powers of Ten
  428.    wt: 1:   B Powers of Ten
  429.    wt: 1:   A Elementary Basis for Multiplication Methods
  430.    wt: 1:   6 Multiplication Commutes Order Not Important
  431.    wt: 1:   5 Decimal Fraction Multiplication
  432.    wt: 1:   4 Two and Three Digit Multipliers
  433.    wt: 1:   2 One Digit Multipliers
  434.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  435.    wt: 1:   Video Power Notation in Decimal Expansion
  436.    wt: 1:   Subtraction Another Video Lesson
  437.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  438.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  439.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  440.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  441.    wt: 1:   Expression Evaluation how to show work
  442.    wt: 1:   013 Travel Time Tables
  443.    wt: 1:   3 Units and Lengths of Time
  444.    wt: 1:   5 Area Under Curve Exercise
  445.    wt: 1:   4 Definite Integrals Evaluation Exercises
  446.    wt: 1:   2 Indefinite Integrals Exercises
  447.    wt: 1:   1 Chain Rule in Reverse Integration Method
  448.    wt: 1:   Postscript More on Better Performance
  449.    wt: 1:   Postscript For Better Performance
  450.    wt: 1:   Appendix E. How To Study Mathematics and Why
  451.    wt: 1:   Appendix D. What to do in School and Why
  452.    wt: 1:   Appendix B. How To Learn
  453.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  454.    wt: 1:   Chapter 28 Occurrence Tables
  455.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  456.    wt: 1:   Chapter 25. Mathematical Induction Examples
  457.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  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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