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Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
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What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

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

Extended Search

536 matches:

  1.    wt: 8:   B3 Bolzano Weierstrass Theorem
  2.    wt: 7:   G.2 Lipshitz Conditions Integration Calculus Reform
  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 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:   3 Decimal insights for limits continuity convergence
  45.    wt: 4:   Chapter 9 About First Courses in Calculus
  46.    wt: 4:   Chapter 23. Notation For Sums
  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:   A Related Material in Volume 3
  66.    wt: 3:   3 Second derivative test
  67.    wt: 3:   2 Second derivative test prequel
  68.    wt: 3:   38 Formulas and derivatives for powers and roots
  69.    wt: 3:   36 Cube root derivative animated
  70.    wt: 3:   34 Derivative of exponential function
  71.    wt: 3:   30Chain Rule A Proof
  72.    wt: 3:   23 Chain Rule in general
  73.    wt: 3:   22 Chain Rule for polynomials
  74.    wt: 3:   15 sine and cosine derivatives 3rd step
  75.    wt: 3:   13 sine and cosine derivatives 1st step
  76.    wt: 3:   12 Quotient rule examples
  77.    wt: 3:   5 Product Rule
  78.    wt: 3:   3 Motivation for Limit Definition Take 2
  79.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  80.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  81.    wt: 3:   4 Numerical properties
  82.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  83.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  84.    wt: 3:   Chapter 22 Complex Numbers
  85.    wt: 3:   Chapter 21 Arrow Addition
  86.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  87.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  88.    wt: 3:   Chapter 18. Slopes Areas Integration
  89.    wt: 3:   Chapter 17. Area Approximation
  90.    wt: 3:   Chapter 16. Velocity Approximation
  91.    wt: 3:   Chapter 15. Slope Approximation
  92.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  93.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  94.    wt: 3:   Chapter 12. Units and Slopes
  95.    wt: 3:   Chapter 11. Graphing Slope versus Position
  96.    wt: 3:   Chapter 10 Slopes and Units
  97.    wt: 3:   Chapter 8. Slope Interpretation
  98.    wt: 3:   Chapter 7 Slopes and Velocity
  99.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  100.    wt: 3:   Chapter 5. Slope Sign Tests
  101.    wt: 3:   Chapter 4. More Slope Sign Analysis
  102.    wt: 3:   Chapter 2. Slopes and Ski Trails
  103.    wt: 3:   Chapter 1.Introduction
  104.    wt: 3:   Foreword
  105.    wt: 3:   Chapter 31 Direct and Indirect Reason
  106.    wt: 3:   Chapter 30 Truth Tables
  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:   25 Mid way Convergence to Axiomatic Approach
  187.    wt: 2:   23 Distributive Law Two Derivations
  188.    wt: 2:   3 Multiplicative Counting Skills Principles
  189.    wt: 2:   3 Proportionality Examples
  190.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  191.    wt: 2:   3 Comparison of Negative Numbers
  192.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  193.    wt: 2:   3 Unit fraction of a fraction
  194.    wt: 2:   3 Adding Movements with same direction
  195.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  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:   3 Two Chain Rule Method Exercises
  227.    wt: 2:   4 Second derivative test exercise example
  228.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  229.    wt: 2:   A Chain Rule Real Player video examples
  230.    wt: 2:   29 Chain Rule Optional Reading
  231.    wt: 2:   28 Chain Rule Preparation for a Proof
  232.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  233.    wt: 2:   26 Chain Rule Recognising outer inner functions
  234.    wt: 2:   25 Chain Rule Animated Examples Continued
  235.    wt: 2:   24 Chain Rule Animated Examples
  236.    wt: 2:   21 Chain Rule for powers
  237.    wt: 2:   20 Chain Rule for Pulley Systems
  238.    wt: 2:   19 Chain Rule for linear functions
  239.    wt: 2:   18 Chain Rule Introduction
  240.    wt: 2:   17 Derivatives of quotients of sine and cosine
  241.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  242.    wt: 2:   14 sine and cosine derivatives 2nd step
  243.    wt: 2:   11 Quotient rule
  244.    wt: 2:   10 Power rule for negative integers
  245.    wt: 2:   9 Reciprocal rule
  246.    wt: 2:   8 Differentiation of polynomials
  247.    wt: 2:   7 Animated Differentiation Examples
  248.    wt: 2:   6 Power rule from product rule
  249.    wt: 2:   4 Sum Rule
  250.    wt: 2:   2 Motivation for Limit Definition Take 1
  251.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  252.    wt: 2:   11 Limits at infinity Three Examples
  253.    wt: 2:   10 Three one sided limits with infinite values
  254.    wt: 2:   9 Limits Continuity and Composition
  255.    wt: 2:   8 Four Animated Examples
  256.    wt: 2:   7 Evaluation by immediate or delayed substitution
  257.    wt: 2:   6 Continuity at a point
  258.    wt: 2:   5 Jumps and absence of unlimited error control
  259.    wt: 2:   2 Algebraic codification
  260.    wt: 2:   1 Numerical introduction
  261.    wt: 2:   Appendix C. How to Read
  262.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  263.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  264.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  265.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  266.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  267.    wt: 2:   Postscript A Three Remarks
  268.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  269.    wt: 2:   Chapter 3 Algebra Starter Lessons
  270.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  271.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  272.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  273.    wt: 2:   Implementation Notes
  274.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  275.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  276.    wt: 1:   Appendix 2 primary school Arithmetic 01
  277.    wt: 1:   Appendix 1 primary and preschool mathematic
  278.    wt: 1:   K LAMP Musings Science Education
  279.    wt: 1:   J LAMP Introduction Extrinsic Origins
  280.    wt: 1:   I LAMP Introduction Study Habits
  281.    wt: 1:   H LAMP Introduction Instructional Concepts
  282.    wt: 1:   G LAMP Introduction Problem Solving Skills
  283.    wt: 1:   F LAMP Introduction Prerequisites
  284.    wt: 1:   E LAMP Introduction Modern Mathematics
  285.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  286.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  287.    wt: 1:   A Introduction Objectives
  288.    wt: 1:   Skills Chapter 4 Logic
  289.    wt: 1:   Skills Chapter 2 Geometry
  290.    wt: 1:   Skills Chapter 1 Arithmetic
  291.    wt: 1:   Skills Chapter 0 Introduction
  292.    wt: 1:   permissions for teachers
  293.    wt: 1:   Math Ed if it must be short make it lean effective
  294.    wt: 1:   modern education
  295.    wt: 1:   learning takes time
  296.    wt: 1:   grouping students according to ability
  297.    wt: 1:   what should be learnt and When
  298.    wt: 1:   mathematics in context
  299.    wt: 1:   Postscript 2007 01 10
  300.    wt: 1:   five decades make a difference
  301.    wt: 1:   teaching tutoring algebraic reason
  302.    wt: 1:   the trouble with algebra
  303.    wt: 1:   05 13 OldSiteEntrancePage
  304.    wt: 1:   Theory of Knowledge
  305.    wt: 1:   Different Kinds of Reasoning in maths
  306.    wt: 1:   chapitre 12 00 les iles et division
  307.    wt: 1:   chapitre 07 01 principle D induction mathematique
  308.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  309.    wt: 1:   chapitre 06 00 Chaines de la raison
  310.    wt: 1:   chapitre 05 00 Deception
  311.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  312.    wt: 1:   chapitre 04 09 Regles accidentelles
  313.    wt: 1:   chapitre 04 08 Limitations et benefices
  314.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  315.    wt: 1:   chapitre 04 06 engagements
  316.    wt: 1:   chapitre 04 05 Implication versus suggestion
  317.    wt: 1:   chapitre 04 04 Parlons de la logique
  318.    wt: 1:   chapitre 04 02 Deuxieme enigme
  319.    wt: 1:   chapitre 04 01 Premiere enigme
  320.    wt: 1:   chapitre 04 00 Les regles d implication
  321.    wt: 1:   chapitre 02 00 La Communication des idees
  322.    wt: 1:   chapitre 01 00 Introduction
  323.    wt: 1:   liens
  324.    wt: 1:   3 Energy Power Heat08
  325.    wt: 1:   E Wire Resistance Calculation03
  326.    wt: 1:   A Wire Resistance Qualitative01
  327.    wt: 1:   3 Like resistors in parallel
  328.    wt: 1:   B Electromotive force conventional current01
  329.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  330.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  331.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  332.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  333.    wt: 1:   3 Polynomials Multiplication Addition
  334.    wt: 1:   13 cosecant function Definition Graph and Inverse
  335.    wt: 1:   3 Left Inverse of cosine arccos definition
  336.    wt: 1:   3 graphing y=f(x c) plus K
  337.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  338.    wt: 1:   Straight Lines Intersection of
  339.    wt: 1:   14 Straight Lines Equations General Case
  340.    wt: 1:   11 Straight Lines Graphing y=mx
  341.    wt: 1:   10 Straight Lines through Origin Equations More
  342.    wt: 1:   9 Straight Lines through Origin Equations
  343.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  344.    wt: 1:   30 unit circle calculation of six trigonometric functions
  345.    wt: 1:   28 Expressing products of sines cosines as sums
  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:   24 Signed Numbers Arithmmetic Properties
  358.    wt: 1:   22 Multiplication of Signed Numbers
  359.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  360.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  361.    wt: 1:   13 Arrows and Vectors in a Plane
  362.    wt: 1:   3 Location of Point in Decimal Multiplication
  363.    wt: 1:   3 Inequalities Algebraically
  364.    wt: 1:   3 Linear Equation Literal Solution More
  365.    wt: 1:   3 Product Axioms Two Forms
  366.    wt: 1:   3 More and Less Than with Unlike Signs
  367.    wt: 1:   13 Real Number Subtraction
  368.    wt: 1:   3 Fractions
  369.    wt: 1:   3 Geometric Formulas and Function Notation
  370.    wt: 1:   More Exercises
  371.    wt: 1:   Simple Exercises
  372.    wt: 1:   4 GE III Animated Examples
  373.    wt: 1:   2 GE II Comparison
  374.    wt: 1:   1 GE Substitution four examples
  375.    wt: 1:   6 Algebraic Solution Example
  376.    wt: 1:   5 Algebraic Solutions Introduction
  377.    wt: 1:   4 Four Examples Fractional Coefficients
  378.    wt: 1:   2 Three Examples
  379.    wt: 1:   1 Proper Equal Sign Usage
  380.    wt: 1:   Skill Development Notes
  381.    wt: 1:   10 One Example
  382.    wt: 1:   9 Three Examples
  383.    wt: 1:   8 One Example
  384.    wt: 1:   7 Two Examples
  385.    wt: 1:   6 Three Examples
  386.    wt: 1:   5 Three Examples
  387.    wt: 1:   4 Two Examples
  388.    wt: 1:   2 Three Examples
  389.    wt: 1:   Using Letters for Physical Quantities
  390.    wt: 1:   Formula Usage Show Work Format
  391.    wt: 1:   13 Naming Identifying Formulas with Words
  392.    wt: 1:   11 Volume of Sphere
  393.    wt: 1:   10 Volume of Pyramid
  394.    wt: 1:   9 Volume of Cone
  395.    wt: 1:   5 Box Volume Formula Example
  396.    wt: 1:   3 Triangle Area Formula Example
  397.    wt: 1:   3 Counting with Sets etc
  398.    wt: 1:   3 Adding Words To Arithmetic
  399.    wt: 1:   3 Properties of Square Roots with example
  400.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  401.    wt: 1:   13 GCD from given Prime Factorization
  402.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  403.    wt: 1:   2 Least Common Multiple LCM intro via list method
  404.    wt: 1:   3 Counting with Tables and Trees II
  405.    wt: 1:   3 signed coordinates for maps and planes
  406.    wt: 1:   3 Multiplying Units and Numbers
  407.    wt: 1:   13 Fraction Comparison Algebraic View
  408.    wt: 1:   A Associative Law Theorectical Note
  409.    wt: 1:   13 Subtraction with Additive Inverse
  410.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  411.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  412.    wt: 1:   26 Divisibility by 2 3 5 Example
  413.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  414.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  415.    wt: 1:   23 Remainder Arithmetic Modulo 2
  416.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  417.    wt: 1:   21 Remainder Arithmetic Modulo 3
  418.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  419.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  420.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  421.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  422.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  423.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  424.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  425.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  426.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  427.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  428.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  429.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  430.    wt: 1:   Long Division Backward
  431.    wt: 1:   Long Division forwards and backwards Example 3
  432.    wt: 1:   D Decimal Multiplication Methods Derived
  433.    wt: 1:   C Counting Areas with Powers of Ten
  434.    wt: 1:   B Powers of Ten
  435.    wt: 1:   A Elementary Basis for Multiplication Methods
  436.    wt: 1:   6 Multiplication Commutes Order Not Important
  437.    wt: 1:   5 Decimal Fraction Multiplication
  438.    wt: 1:   4 Two and Three Digit Multipliers
  439.    wt: 1:   2 One Digit Multipliers
  440.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  441.    wt: 1:   Video Power Notation in Decimal Expansion
  442.    wt: 1:   Subtraction Another Video Lesson
  443.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  444.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  445.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  446.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  447.    wt: 1:   Expression Evaluation how to show work
  448.    wt: 1:   013 Travel Time Tables
  449.    wt: 1:   3 Units and Lengths of Time
  450.    wt: 1:   5 Area Under Curve Exercise
  451.    wt: 1:   4 Definite Integrals Evaluation Exercises
  452.    wt: 1:   2 Indefinite Integrals Exercises
  453.    wt: 1:   1 Chain Rule in Reverse Integration Method
  454.    wt: 1:   Postscript More on Better Performance
  455.    wt: 1:   Postscript For Better Performance
  456.    wt: 1:   Appendix E. How To Study Mathematics and Why
  457.    wt: 1:   Appendix D. What to do in School and Why
  458.    wt: 1:   Appendix B. How To Learn
  459.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  460.    wt: 1:   Chapter 28 Occurrence Tables
  461.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  462.    wt: 1:   Chapter 25. Mathematical Induction Examples
  463.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  464.    wt: 1:   Chapter 21. Third Reading Guide
  465.    wt: 1:   Chapter 20. Degrees and Radians
  466.    wt: 1:   Chapter 19. Functions and Sets
  467.    wt: 1:   Chapter 18. Rules for Algebra
  468.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  469.    wt: 1:   Chapter 16. Painless Theorem Proving
  470.    wt: 1:   Chapter 15. Solving Linear Equations
  471.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  472.    wt: 1:   Chapter 12. Shorthand Usage Guide
  473.    wt: 1:   Chapter 11. Why Shorthand
  474.    wt: 1:   Chapter 10 Describing and Changing Calculations
  475.    wt: 1:   Postscript What is a Variable
  476.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  477.    wt: 1:   Chapter 8 Three Skills For Algebra
  478.    wt: 1:   Solutions For Arithmetic Exercises
  479.    wt: 1:   Chapter 6 Change of Language
  480.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  481.    wt: 1:   Chapter 4 Longer Chains of Reason
  482.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  483.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  484.    wt: 1:   Foreword
  485.    wt: 1:   Annotated Links to Material Elsehwere
  486.    wt: 1:   Postscript B Mathematics Education References
  487.    wt: 1:   Chapter 12 Four Phases
  488.    wt: 1:   Chapter 11 Elementary Instruction
  489.    wt: 1:   Chapter 10 Transition
  490.    wt: 1:   Chapter 9 The Two Ends
  491.    wt: 1:   Chapter 8 Modern Instruction
  492.    wt: 1:   Chapter 7 Two Treatments of Geometry
  493.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  494.    wt: 1:   Chapter 5 Four References
  495.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  496.    wt: 1:   Chapter 2 For and Against Mathematics
  497.    wt: 1:   Chapter 1 Introduction
  498.    wt: 1:   Foreword
  499.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  500.    wt: 1:   Postscript C Consistency as a Tool for Reason
  501.    wt: 1:   Postscript B More on Story Telling and Reason
  502.    wt: 1:   Postscript A Story Telling
  503.    wt: 1:   Chapter 24 Direct and Indirect Reason
  504.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  505.    wt: 1:   Chapter 21 Occurrence Tables
  506.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  507.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  508.    wt: 1:   Chapter 18 Sense and Knowledge
  509.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  510.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  511.    wt: 1:   Chapter 15 Objective Processes
  512.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  513.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  514.    wt: 1:   Chapter 11 Accidental Patterns
  515.    wt: 1:   Chapter 10 Responsibility
  516.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  517.    wt: 1:   Chapter 8 Change of Language
  518.    wt: 1:   Chapter 7 Longer Chains of Reason
  519.    wt: 1:   Chapter 6 Chains of Reason
  520.    wt: 1:   Chapter 5 Deception
  521.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  522.    wt: 1:   Chapter 2 Skill Development
  523.    wt: 1:   Chapter 1 Introduction
  524.    wt: 1:   Three Remarks
  525.    wt: 1:   Foreword
  526.    wt: 1:   M Words to extend arithmetic
  527.    wt: 1:   C. Domino effect of being careful
  528.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  529.    wt: 1:   Helping the Blind in Logic and Mathematics
  530.    wt: 1:   Mathematics Education References
  531.    wt: 1:   Mathematics Education References
  532.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  533.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  534.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  535.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  536.    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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