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

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

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  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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198 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:   32 seven rows of pascals triangle
  5.    wt: 2:   11 Triangle Inequality
  6.    wt: 2:   3 Isometry of Triangles Congruence
  7.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  8.    wt: 2:   3 Triangle Area Formula Example
  9.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  10.    wt: 2:   A Related Material in Volume 3
  11.    wt: 2:   A Related lessons in Volume 3
  12.    wt: 2:   33 Chain Rule Real Player video examples
  13.    wt: 2:   Fall 1983 Calculus Appetizer
  14.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  15.    wt: 1:   Skills Chapter 5 Calculus
  16.    wt: 1:   Skills Chapter 3 Algebra
  17.    wt: 1:   3 Euclidean Geometry Leanly
  18.    wt: 1:   05 13 OldSiteEntrancePage
  19.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  20.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  21.    wt: 1:   3 Energy Power Heat08
  22.    wt: 1:   C Energy Power03
  23.    wt: 1:   E Wire Resistance Calculation03
  24.    wt: 1:   3 Like resistors in parallel
  25.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  26.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  27.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  28.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  29.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  30.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  31.    wt: 1:   13 Addition and Addition Tables
  32.    wt: 1:   3 Preparing for Science Studies
  33.    wt: 1:   Ages 3 plus to 4 plus
  34.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  35.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  36.    wt: 1:   sign monoticity analysis example 3
  37.    wt: 1:   23 Inverse Functions
  38.    wt: 1:   13 From one to one to many to one
  39.    wt: 1:   3 Formula or function graphing exercise
  40.    wt: 1:   3 quadratics factoring by inspection
  41.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  42.    wt: 1:   3 Polynomials Multiplication Addition
  43.    wt: 1:   13 cosecant function Definition Graph and Inverse
  44.    wt: 1:   3 Left Inverse of cosine arccos definition
  45.    wt: 1:   7 Radian Measures in special Triangles
  46.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  47.    wt: 1:   13 Velocity Vectors in Physics
  48.    wt: 1:   3 Navigation with Arrows or Vectors
  49.    wt: 1:   3 graphing y=f(x c) plus K
  50.    wt: 1:   Triangle Angles Sum To 180 Degrees
  51.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  52.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  53.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  54.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  55.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  56.    wt: 1:   31 basic secant cosecant cotangent trig identities
  57.    wt: 1:   30 unit circle calculation of six trigonometric functions
  58.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  59.    wt: 1:   16 Right Triangle Complementary Angle Relations
  60.    wt: 1:   13 Graph of tangent function many periods
  61.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  62.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  63.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  64.    wt: 1:   13 Trig Formulas for dot and cross Products
  65.    wt: 1:   3 Addition Properties
  66.    wt: 1:   8 Triangles Cascade Problem Solving
  67.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  68.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  69.    wt: 1:   3 Trigonometric Ratios sine and cosine
  70.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  71.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  72.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  73.    wt: 1:   12 Triangles Similarity More Problems
  74.    wt: 1:   11 Triangle Similarity Missing Side Problem
  75.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  76.    wt: 1:   9 Similarity of Triangles Usual Criteria
  77.    wt: 1:   8 Similarity of Triangles and Polygons
  78.    wt: 1:   3 Similarity by Design with coordinates
  79.    wt: 1:   3 Slope product for perpendicular lines
  80.    wt: 1:   13 Pythagorean spatial distance formulas
  81.    wt: 1:   3 Rectangular Coordinates Review
  82.    wt: 1:   19 Right Triangle Similarity
  83.    wt: 1:   18 Triangle Similarity Take 1
  84.    wt: 1:   17 Right Bisectors of Triangle Sides
  85.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  86.    wt: 1:   13 Angle Side Angle Failure
  87.    wt: 1:   11 Triangle Construction Fails
  88.    wt: 1:   8 Isoceles Triangles
  89.    wt: 1:   2 Correspondence between Triangles
  90.    wt: 1:   3 Lengths and Areas on Maps and Plans
  91.    wt: 1:   23 Distributive Law Two Derivations
  92.    wt: 1:   13 Arrows and Vectors in a Plane
  93.    wt: 1:   3 Location of Point in Decimal Multiplication
  94.    wt: 1:   3 Multiplicative Counting Skills Principles
  95.    wt: 1:   3 Inequalities Algebraically
  96.    wt: 1:   3 Proportionality Examples
  97.    wt: 1:   5 Triangle Area Formula Backwards
  98.    wt: 1:   3 Linear Equation Literal Solution More
  99.    wt: 1:   3 Product Axioms Two Forms
  100.    wt: 1:   3 More and Less Than with Unlike Signs
  101.    wt: 1:   13 Real Number Subtraction
  102.    wt: 1:   3 Fractions
  103.    wt: 1:   3 Geometric Formulas and Function Notation
  104.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  105.    wt: 1:   3 GE III Equation Addition and Multiplication
  106.    wt: 1:   3 Solving triangular system example
  107.    wt: 1:   3 Four Examples
  108.    wt: 1:   3 Two Examples
  109.    wt: 1:   13 Naming Identifying Formulas with Words
  110.    wt: 1:   11 Volume of Sphere
  111.    wt: 1:   10 Volume of Pyramid
  112.    wt: 1:   9 Volume of Cone
  113.    wt: 1:   5 Box Volume Formula Example
  114.    wt: 1:   3 Counting with Sets etc
  115.    wt: 1:   3 Adding Words To Arithmetic
  116.    wt: 1:   3 Comparison of Negative Numbers
  117.    wt: 1:   3 Properties of Square Roots with example
  118.    wt: 1:   13 GCD from given Prime Factorization
  119.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  120.    wt: 1:   3 Counting with Tables and Trees II
  121.    wt: 1:   3 signed coordinates for maps and planes
  122.    wt: 1:   3 Multiplying Units and Numbers
  123.    wt: 1:   13 Fraction Comparison Algebraic View
  124.    wt: 1:   3 Unit fraction of a fraction
  125.    wt: 1:   13 Subtraction with Additive Inverse
  126.    wt: 1:   3 Adding Movements with same direction
  127.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  128.    wt: 1:   26 Divisibility by 2 3 5 Example
  129.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  130.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  131.    wt: 1:   23 Remainder Arithmetic Modulo 2
  132.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  133.    wt: 1:   21 Remainder Arithmetic Modulo 3
  134.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  135.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  136.    wt: 1:   13 video Factors of 24 using prime
  137.    wt: 1:   10 video Prime Factorization upto 23 squared
  138.    wt: 1:   3 video Primes and Composites from 9 times table
  139.    wt: 1:   Long Division forwards and backwards Example 3
  140.    wt: 1:   3 Division Single Digit Divisor Example
  141.    wt: 1:   3 More One Digit Multipliers
  142.    wt: 1:   1 Why 3 times 5 gives 15
  143.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  144.    wt: 1:   3. How to add with decimals A sans conversions
  145.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  146.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  147.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  148.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  149.    wt: 1:   013 Travel Time Tables
  150.    wt: 1:   3 Units and Lengths of Time
  151.    wt: 1:   Example 2 volume of a cone
  152.    wt: 1:   Example 1 volume of a pyramid
  153.    wt: 1:   Volume of Solid by Cross Sections Lesson
  154.    wt: 1:   Example 3
  155.    wt: 1:   3 Two Chain Rule Method Exercises
  156.    wt: 1:   3 Second derivative test
  157.    wt: 1:   38 Formulas and derivatives for powers and roots
  158.    wt: 1:   36 Cube root derivative animated
  159.    wt: 1:   34 Derivative of exponential function
  160.    wt: 1:   31 Derivatives of inverse functions
  161.    wt: 1:   30Chain Rule A Proof
  162.    wt: 1:   23 Chain Rule in general
  163.    wt: 1:   15 sine and cosine derivatives 3rd step
  164.    wt: 1:   13 sine and cosine derivatives 1st step
  165.    wt: 1:   3 Motivation for Limit Definition Take 2
  166.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  167.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  168.    wt: 1:   3 Decimal insights for limits continuity convergence
  169.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  170.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  171.    wt: 1:   G.3 Constant Difference Theorem Proof
  172.    wt: 1:   F.3 Intermediate Value Theorem
  173.    wt: 1:   C Triangle Inequalities
  174.    wt: 1:   B3 Bolzano Weierstrass Theorem
  175.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  176.    wt: 1:   Chapter 23 Links To Trigonometry
  177.    wt: 1:   Chapter 13. Acceleration
  178.    wt: 1:   Chapter 9 About First Courses in Calculus
  179.    wt: 1:   Chapter 3. Slope Sign Analysis
  180.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  181.    wt: 1:   Chapter 31 Direct and Indirect Reason
  182.    wt: 1:   Chapter 30 Truth Tables
  183.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  184.    wt: 1:   Chapter 23. Notation For Sums
  185.    wt: 1:   Chapter 13. Second Reading Guide
  186.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  187.    wt: 1:   Chapter 3 Chains of Reason
  188.    wt: 1:   Chapter 3 Algebra Difficulties
  189.    wt: 1:   Chapter 23 Truth Tables
  190.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  191.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  192.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  193.    wt: 1:   Chapter 3 Algebra Starter Lessons
  194.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  195.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  196.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  197.    wt: 1:   More Algebra and Slope based Calculus Preview
  198.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

555 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:   C Triangle Inequalities
  8.    wt: 7:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  9.    wt: 6:   Postscript One Sided and Intermediate Value Theorems
  10.    wt: 6:   G.6 Bounded Derivatives implies Lipshitz Continuity
  11.    wt: 6:   G.5 Motions With Bounded Velocities
  12.    wt: 6:   G.4 Lipschitz Continuity implies EquiContinuity
  13.    wt: 6:   G.2 Differentiable Functions Mean Value Theorem
  14.    wt: 6:   G.1 Differentiable Functions Rolles Theorem
  15.    wt: 6:   F.5b Extreme Value Theorem
  16.    wt: 6:   F.4 Finite Covering Theorem
  17.    wt: 6:   F.2 Closed Range Theorem
  18.    wt: 6:   F.1 What Functions are Continuous
  19.    wt: 6:   E2 Algebraic Properties of Limits
  20.    wt: 6:   E1 Error Control Inequalities
  21.    wt: 6:   D2 Limits of Monotone Sequences
  22.    wt: 6:   D1 Sets and Sequences GLBs and LGBs
  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:   11 Triangle Inequality
  37.    wt: 4:   3 Rectangular Coordinates Review
  38.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  39.    wt: 4:   13 video Factors of 24 using prime
  40.    wt: 4:   3 video Primes and Composites from 9 times table
  41.    wt: 4:   Example 3
  42.    wt: 4:   A Related lessons in Volume 3
  43.    wt: 4:   33 Chain Rule Real Player video examples
  44.    wt: 4:   31 Derivatives of inverse functions
  45.    wt: 4:   Chapter 9 About First Courses in Calculus
  46.    wt: 3:   Skills Chapter 3 Algebra
  47.    wt: 3:   3 quadratics factoring by inspection
  48.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  49.    wt: 3:   32 seven rows of pascals triangle
  50.    wt: 3:   3 Isometry of Triangles Congruence
  51.    wt: 3:   3 GE III Equation Addition and Multiplication
  52.    wt: 3:   4 Solving a triangular system exercise
  53.    wt: 3:   2 Essentially one exercises three with solution
  54.    wt: 3:   1 Essentially One Unknown
  55.    wt: 3:   3 Four Examples
  56.    wt: 3:   3 Two Examples
  57.    wt: 3:   10 video Prime Factorization upto 23 squared
  58.    wt: 3:   3 More One Digit Multipliers
  59.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  60.    wt: 3:   Example 2 volume of a cone
  61.    wt: 3:   Example 1 volume of a pyramid
  62.    wt: 3:   Volume of Solid by Cross Sections Lesson
  63.    wt: 3:   Example 4 with x function of y
  64.    wt: 3:   Example 2
  65.    wt: 3:   Example 1
  66.    wt: 3:   A Related Material in Volume 3
  67.    wt: 3:   3 Second derivative test
  68.    wt: 3:   2 Second derivative test prequel
  69.    wt: 3:   38 Formulas and derivatives for powers and roots
  70.    wt: 3:   36 Cube root derivative animated
  71.    wt: 3:   34 Derivative of exponential function
  72.    wt: 3:   30Chain Rule A Proof
  73.    wt: 3:   23 Chain Rule in general
  74.    wt: 3:   22 Chain Rule for polynomials
  75.    wt: 3:   15 sine and cosine derivatives 3rd step
  76.    wt: 3:   13 sine and cosine derivatives 1st step
  77.    wt: 3:   12 Quotient rule examples
  78.    wt: 3:   5 Product Rule
  79.    wt: 3:   3 Motivation for Limit Definition Take 2
  80.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  81.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  82.    wt: 3:   4 Numerical properties
  83.    wt: 3:   3 Decimal insights for limits continuity convergence
  84.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  85.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  86.    wt: 3:   Chapter 22 Complex Numbers
  87.    wt: 3:   Chapter 21 Arrow Addition
  88.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  89.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  90.    wt: 3:   Chapter 18. Slopes Areas Integration
  91.    wt: 3:   Chapter 17. Area Approximation
  92.    wt: 3:   Chapter 16. Velocity Approximation
  93.    wt: 3:   Chapter 15. Slope Approximation
  94.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  95.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  96.    wt: 3:   Chapter 12. Units and Slopes
  97.    wt: 3:   Chapter 11. Graphing Slope versus Position
  98.    wt: 3:   Chapter 10 Slopes and Units
  99.    wt: 3:   Chapter 8. Slope Interpretation
  100.    wt: 3:   Chapter 7 Slopes and Velocity
  101.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  102.    wt: 3:   Chapter 5. Slope Sign Tests
  103.    wt: 3:   Chapter 4. More Slope Sign Analysis
  104.    wt: 3:   Chapter 2. Slopes and Ski Trails
  105.    wt: 3:   Chapter 1.Introduction
  106.    wt: 3:   Foreword
  107.    wt: 3:   Chapter 31 Direct and Indirect Reason
  108.    wt: 3:   Chapter 30 Truth Tables
  109.    wt: 3:   Chapter 23. Notation For Sums
  110.    wt: 3:   Chapter 13. Second Reading Guide
  111.    wt: 3:   Chapter 3 Chains of Reason
  112.    wt: 3:   Chapter 3 Algebra Difficulties
  113.    wt: 3:   Chapter 23 Truth Tables
  114.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  115.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  116.    wt: 3:   More Algebra and Slope based Calculus Preview
  117.    wt: 3:   Systematic Algebra Skill Development Missing Links
  118.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  119.    wt: 2:   Skills Chapter 5 Calculus
  120.    wt: 2:   Ramblings Extrinsic numbers theory
  121.    wt: 2:   Ramblings Introduction Algebra Essay
  122.    wt: 2:   3 Euclidean Geometry Leanly
  123.    wt: 2:   Education Reform Inconsistencies
  124.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  125.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  126.    wt: 2:   C Energy Power03
  127.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  128.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  129.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  130.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  131.    wt: 2:   13 Addition and Addition Tables
  132.    wt: 2:   3 Preparing for Science Studies
  133.    wt: 2:   Ages 3 plus to 4 plus
  134.    wt: 2:   sign monoticity analysis example 3
  135.    wt: 2:   23 Inverse Functions
  136.    wt: 2:   13 From one to one to many to one
  137.    wt: 2:   3 Formula or function graphing exercise
  138.    wt: 2:   A Quadratics Summary
  139.    wt: 2:   10 quadratic exercises
  140.    wt: 2:   9 quadratics physical and further context
  141.    wt: 2:   8 quadratics backward use of various formulas
  142.    wt: 2:   7 quadratic formulla derivation
  143.    wt: 2:   6 quadratics numerical approach
  144.    wt: 2:   5 quadratics completing the square
  145.    wt: 2:   4 quadratics difference of two squares
  146.    wt: 2:   2 quadratics graphing in general
  147.    wt: 2:   1 quadratics graphing exercises
  148.    wt: 2:   Quadratics in 10 steps
  149.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  150.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  151.    wt: 2:   A Global Time and Navigation
  152.    wt: 2:   15 Dot and Cross Product
  153.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  154.    wt: 2:   12 From Applied To Pure Mathematics
  155.    wt: 2:   11 Component Method
  156.    wt: 2:   10 Parallelogram Addition Method
  157.    wt: 2:   9 Head to Tail Coordinate View
  158.    wt: 2:   8 Parallel Vectors
  159.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  160.    wt: 2:   6 Vectors with Coordinates
  161.    wt: 2:   5 Head To Tail Arrow Addition
  162.    wt: 2:   4 Resultant of a Sum of Movements
  163.    wt: 2:   2 Signed Coordinates
  164.    wt: 2:   1 Unsigned Coordinates
  165.    wt: 2:   Vector and Complex Number Applet
  166.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  167.    wt: 2:   12 Straight Lines Graphing mx plus b
  168.    wt: 2:   31 basic secant cosecant cotangent trig identities
  169.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  170.    wt: 2:   13 Trig Formulas for dot and cross Products
  171.    wt: 2:   3 Addition Properties
  172.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  173.    wt: 2:   3 Similarity by Design with coordinates
  174.    wt: 2:   3 Slope product for perpendicular lines
  175.    wt: 2:   12 Spatial Coordinates
  176.    wt: 2:   10 Pythagorean plane distance formula
  177.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  178.    wt: 2:   8 Distance Between Points on a Line
  179.    wt: 2:   7 Complex Numbers Appetizer
  180.    wt: 2:   6 Polar Multiplication and Rotation
  181.    wt: 2:   5 Cartesian Addition and Translation
  182.    wt: 2:   4 Polar Coordinates to and from
  183.    wt: 2:   2 Cartesian Coordinates with signs
  184.    wt: 2:   1 Cartesian Coordinates sans signs
  185.    wt: 2:   13 Angle Side Angle Failure
  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 Triangle Area Formula 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:   13 Remainder Arithmetic Modulo 5 Example
  196.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  197.    wt: 2:   20 Uniqueness of Prime Factorization
  198.    wt: 2:   19 video Prime Factorization Unique
  199.    wt: 2:   18 video Count Factors given Prime Factorization
  200.    wt: 2:   17 Identify and Count Factors using Primes
  201.    wt: 2:   16 video Factors of 980 using prime
  202.    wt: 2:   15 video Factors of 20 using Prime Factorization
  203.    wt: 2:   14 video Factors of 24 Take II
  204.    wt: 2:   12 LCD GCD and LCM using Primes
  205.    wt: 2:   11 Efficient Square Rule Use
  206.    wt: 2:   9 video Prime Factorization upto 19 squared
  207.    wt: 2:   8 video Prime Factorization upto 19
  208.    wt: 2:   7 Calculator Usage Notes and Cautions
  209.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  210.    wt: 2:   5 Prime Factorization and a Square Rule
  211.    wt: 2:   4 video Prime Factorization Introduction
  212.    wt: 2:   2 Prime and Composites less than 16
  213.    wt: 2:   1 video how Products are bigger than factor
  214.    wt: 2:   3 Division Single Digit Divisor Example
  215.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  216.    wt: 2:   1 Why 3 times 5 gives 15
  217.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  218.    wt: 2:   3. How to add with decimals A sans conversions
  219.    wt: 2:   Example 1. Area Between x and x squared
  220.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  221.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  222.    wt: 2:   Area Between Curves Lesson Take 2
  223.    wt: 2:   Area Between Curves Lesson Take 1
  224.    wt: 2:   Summary
  225.    wt: 2:   3 Two Chain Rule Method Exercises
  226.    wt: 2:   4 Second derivative test exercise example
  227.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  228.    wt: 2:   A Chain Rule Real Player video examples
  229.    wt: 2:   29 Chain Rule Optional Reading
  230.    wt: 2:   28 Chain Rule Preparation for a Proof
  231.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  232.    wt: 2:   26 Chain Rule Recognising outer inner functions
  233.    wt: 2:   25 Chain Rule Animated Examples Continued
  234.    wt: 2:   24 Chain Rule Animated Examples
  235.    wt: 2:   21 Chain Rule for powers
  236.    wt: 2:   20 Chain Rule for Pulley Systems
  237.    wt: 2:   19 Chain Rule for linear functions
  238.    wt: 2:   18 Chain Rule Introduction
  239.    wt: 2:   17 Derivatives of quotients of sine and cosine
  240.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  241.    wt: 2:   14 sine and cosine derivatives 2nd step
  242.    wt: 2:   11 Quotient rule
  243.    wt: 2:   10 Power rule for negative integers
  244.    wt: 2:   9 Reciprocal rule
  245.    wt: 2:   8 Differentiation of polynomials
  246.    wt: 2:   7 Animated Differentiation Examples
  247.    wt: 2:   6 Power rule from product rule
  248.    wt: 2:   4 Sum Rule
  249.    wt: 2:   2 Motivation for Limit Definition Take 1
  250.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  251.    wt: 2:   11 Limits at infinity Three Examples
  252.    wt: 2:   10 Three one sided limits with infinite values
  253.    wt: 2:   9 Limits Continuity and Composition
  254.    wt: 2:   8 Four Animated Examples
  255.    wt: 2:   7 Evaluation by immediate or delayed substitution
  256.    wt: 2:   6 Continuity at a point
  257.    wt: 2:   5 Jumps and absence of unlimited error control
  258.    wt: 2:   2 Algebraic codification
  259.    wt: 2:   1 Numerical introduction
  260.    wt: 2:   Appendix C. How to Read
  261.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  262.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  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:   7 Radian Measures in special Triangles
  335.    wt: 1:   3 graphing y=f(x c) plus K
  336.    wt: 1:   Triangle Angles Sum To 180 Degrees
  337.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  338.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  339.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  340.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  341.    wt: 1:   Straight Lines Intersection of
  342.    wt: 1:   14 Straight Lines Equations General Case
  343.    wt: 1:   11 Straight Lines Graphing y=mx
  344.    wt: 1:   10 Straight Lines through Origin Equations More
  345.    wt: 1:   9 Straight Lines through Origin Equations
  346.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  347.    wt: 1:   30 unit circle calculation of six trigonometric functions
  348.    wt: 1:   24 tangent Angle Difference Formula
  349.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  350.    wt: 1:   16 Right Triangle Complementary Angle Relations
  351.    wt: 1:   15 sine cosine Complementary Angle Relations
  352.    wt: 1:   13 Graph of tangent function many periods
  353.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  354.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  355.    wt: 1:   8 Triangles Cascade Problem Solving
  356.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  357.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  358.    wt: 1:   3 Trigonometric Ratios sine and cosine
  359.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  360.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  361.    wt: 1:   12 Triangles Similarity More Problems
  362.    wt: 1:   11 Triangle Similarity Missing Side Problem
  363.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  364.    wt: 1:   9 Similarity of Triangles Usual Criteria
  365.    wt: 1:   8 Similarity of Triangles and Polygons
  366.    wt: 1:   6 Geometric Diagrams in Class
  367.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  368.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  369.    wt: 1:   19 Right Triangle Similarity
  370.    wt: 1:   18 Triangle Similarity Take 1
  371.    wt: 1:   17 Right Bisectors of Triangle Sides
  372.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  373.    wt: 1:   11 Triangle Construction Fails
  374.    wt: 1:   8 Isoceles Triangles
  375.    wt: 1:   2 Correspondence between Triangles
  376.    wt: 1:   3 Lengths and Areas on Maps and Plans
  377.    wt: 1:   26 More Less Greater Than Comparison
  378.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  379.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  380.    wt: 1:   22 Multiplication of Signed Numbers
  381.    wt: 1:   13 Arrows and Vectors in a Plane
  382.    wt: 1:   3 Location of Point in Decimal Multiplication
  383.    wt: 1:   3 Inequalities Algebraically
  384.    wt: 1:   5 Triangle Area Formula Backwards
  385.    wt: 1:   3 Linear Equation Literal Solution More
  386.    wt: 1:   3 Product Axioms Two Forms
  387.    wt: 1:   3 More and Less Than with Unlike Signs
  388.    wt: 1:   13 Real Number Subtraction
  389.    wt: 1:   3 Fractions
  390.    wt: 1:   3 Geometric Formulas and Function Notation
  391.    wt: 1:   More Exercises
  392.    wt: 1:   Simple Exercises
  393.    wt: 1:   4 GE III Animated Examples
  394.    wt: 1:   2 GE II Comparison
  395.    wt: 1:   1 GE Substitution four examples
  396.    wt: 1:   6 Algebraic Solution Example
  397.    wt: 1:   5 Algebraic Solutions Introduction
  398.    wt: 1:   4 Four Examples Fractional Coefficients
  399.    wt: 1:   2 Three Examples
  400.    wt: 1:   1 Proper Equal Sign Usage
  401.    wt: 1:   Skill Development Notes
  402.    wt: 1:   10 One Example
  403.    wt: 1:   9 Three Examples
  404.    wt: 1:   8 One Example
  405.    wt: 1:   7 Two Examples
  406.    wt: 1:   6 Three Examples
  407.    wt: 1:   5 Three Examples
  408.    wt: 1:   4 Two Examples
  409.    wt: 1:   2 Three Examples
  410.    wt: 1:   Using Letters for Physical Quantities
  411.    wt: 1:   Formula Usage Show Work Format
  412.    wt: 1:   13 Naming Identifying Formulas with Words
  413.    wt: 1:   11 Volume of Sphere
  414.    wt: 1:   10 Volume of Pyramid
  415.    wt: 1:   9 Volume of Cone
  416.    wt: 1:   5 Box Volume Formula Example
  417.    wt: 1:   3 Counting with Sets etc
  418.    wt: 1:   3 Adding Words To Arithmetic
  419.    wt: 1:   3 Properties of Square Roots with example
  420.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  421.    wt: 1:   13 GCD from given Prime Factorization
  422.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  423.    wt: 1:   2 Least Common Multiple LCM intro via list method
  424.    wt: 1:   3 Counting with Tables and Trees II
  425.    wt: 1:   3 signed coordinates for maps and planes
  426.    wt: 1:   3 Multiplying Units and Numbers
  427.    wt: 1:   13 Fraction Comparison Algebraic View
  428.    wt: 1:   A Associative Law Theorectical Note
  429.    wt: 1:   13 Subtraction with Additive Inverse
  430.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  431.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  432.    wt: 1:   26 Divisibility by 2 3 5 Example
  433.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  434.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  435.    wt: 1:   23 Remainder Arithmetic Modulo 2
  436.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  437.    wt: 1:   21 Remainder Arithmetic Modulo 3
  438.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  439.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  440.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  441.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  442.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  443.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  444.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  445.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  446.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  447.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  448.    wt: 1:   Long Division Backward
  449.    wt: 1:   Long Division forwards and backwards Example 3
  450.    wt: 1:   D Decimal Multiplication Methods Derived
  451.    wt: 1:   C Counting Areas with Powers of Ten
  452.    wt: 1:   B Powers of Ten
  453.    wt: 1:   A Elementary Basis for Multiplication Methods
  454.    wt: 1:   6 Multiplication Commutes Order Not Important
  455.    wt: 1:   5 Decimal Fraction Multiplication
  456.    wt: 1:   4 Two and Three Digit Multipliers
  457.    wt: 1:   2 One Digit Multipliers
  458.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  459.    wt: 1:   Video Power Notation in Decimal Expansion
  460.    wt: 1:   Subtraction Another Video Lesson
  461.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  462.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  463.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  464.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  465.    wt: 1:   Expression Evaluation how to show work
  466.    wt: 1:   013 Travel Time Tables
  467.    wt: 1:   3 Units and Lengths of Time
  468.    wt: 1:   5 Area Under Curve Exercise
  469.    wt: 1:   4 Definite Integrals Evaluation Exercises
  470.    wt: 1:   2 Indefinite Integrals Exercises
  471.    wt: 1:   1 Chain Rule in Reverse Integration Method
  472.    wt: 1:   Postscript More on Better Performance
  473.    wt: 1:   Postscript For Better Performance
  474.    wt: 1:   Appendix E. How To Study Mathematics and Why
  475.    wt: 1:   Appendix D. What to do in School and Why
  476.    wt: 1:   Appendix B. How To Learn
  477.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  478.    wt: 1:   Chapter 28 Occurrence Tables
  479.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  480.    wt: 1:   Chapter 25. Mathematical Induction Examples
  481.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  482.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  483.    wt: 1:   Chapter 21. Third Reading Guide
  484.    wt: 1:   Chapter 20. Degrees and Radians
  485.    wt: 1:   Chapter 19. Functions and Sets
  486.    wt: 1:   Chapter 18. Rules for Algebra
  487.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  488.    wt: 1:   Chapter 16. Painless Theorem Proving
  489.    wt: 1:   Chapter 15. Solving Linear Equations
  490.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  491.    wt: 1:   Chapter 12. Shorthand Usage Guide
  492.    wt: 1:   Chapter 11. Why Shorthand
  493.    wt: 1:   Chapter 10 Describing and Changing Calculations
  494.    wt: 1:   Postscript What is a Variable
  495.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  496.    wt: 1:   Chapter 8 Three Skills For Algebra
  497.    wt: 1:   Solutions For Arithmetic Exercises
  498.    wt: 1:   Chapter 6 Change of Language
  499.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  500.    wt: 1:   Chapter 4 Longer Chains of Reason
  501.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  502.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  503.    wt: 1:   Foreword
  504.    wt: 1:   Annotated Links to Material Elsehwere
  505.    wt: 1:   Postscript B Mathematics Education References
  506.    wt: 1:   Chapter 12 Four Phases
  507.    wt: 1:   Chapter 11 Elementary Instruction
  508.    wt: 1:   Chapter 10 Transition
  509.    wt: 1:   Chapter 9 The Two Ends
  510.    wt: 1:   Chapter 8 Modern Instruction
  511.    wt: 1:   Chapter 7 Two Treatments of Geometry
  512.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  513.    wt: 1:   Chapter 5 Four References
  514.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  515.    wt: 1:   Chapter 2 For and Against Mathematics
  516.    wt: 1:   Chapter 1 Introduction
  517.    wt: 1:   Foreword
  518.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  519.    wt: 1:   Postscript C Consistency as a Tool for Reason
  520.    wt: 1:   Postscript B More on Story Telling and Reason
  521.    wt: 1:   Postscript A Story Telling
  522.    wt: 1:   Chapter 24 Direct and Indirect Reason
  523.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  524.    wt: 1:   Chapter 21 Occurrence Tables
  525.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  526.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  527.    wt: 1:   Chapter 18 Sense and Knowledge
  528.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  529.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  530.    wt: 1:   Chapter 15 Objective Processes
  531.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  532.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  533.    wt: 1:   Chapter 11 Accidental Patterns
  534.    wt: 1:   Chapter 10 Responsibility
  535.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  536.    wt: 1:   Chapter 8 Change of Language
  537.    wt: 1:   Chapter 7 Longer Chains of Reason
  538.    wt: 1:   Chapter 6 Chains of Reason
  539.    wt: 1:   Chapter 5 Deception
  540.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  541.    wt: 1:   Chapter 2 Skill Development
  542.    wt: 1:   Chapter 1 Introduction
  543.    wt: 1:   Three Remarks
  544.    wt: 1:   Foreword
  545.    wt: 1:   M Words to extend arithmetic
  546.    wt: 1:   C. Domino effect of being careful
  547.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  548.    wt: 1:   Helping the Blind in Logic and Mathematics
  549.    wt: 1:   Mathematics Education References
  550.    wt: 1:   Mathematics Education References
  551.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  552.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  553.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  554.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  555.    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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