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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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More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

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

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

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25 matches:

  1.    wt: 6:   Advanced Calculus Volume 3 Appendices/
  2.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  3.    wt: 3:   Volume 3 Why Slopes A Calculus Intro Etc/
  4.    wt: 2:   3 Quadratics Geometrically/
  5.    wt: 2:   13 Vectors/
  6.    wt: 2:   3 Cartesian and Polar Coordinates/
  7.    wt: 2:   3 Prime Factorization Skills/
  8.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  9.    wt: 2:   4 Lessons on Using Derivatives/
  10.    wt: 2:   38 Lessons on Calculating Derivatives/
  11.    wt: 2:   13 Lessons on Limits and Continuity/
  12.    wt: 1:   LAMP Lean Applied Mathematics Program/
  13.    wt: 1:   Volume 1A Regles et modeles/
  14.    wt: 1:   Step 4 Gaussian Elimination/
  15.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  16.    wt: 1:   Step 1 Stick diagram and fractions/
  17.    wt: 1:   3 Solving Linear Equations/
  18.    wt: 1:   C Decimal Multiplication Methods/
  19.    wt: 1:   5 Lessons on Integration/
  20.    wt: 1:   70 Calculus Starter Lessons/
  21.    wt: 1:   Volume 2 Three Skills For Algebra/
  22.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  23.    wt: 1:   Volume 1A Pattern Based Reason/
  24.    wt: 1:   Volume 1 Elements of Reason/
  25.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

186 matches:

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

Extended Search

534 matches:

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

Geometry
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3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
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3. Computation Rules
4. Axioms, Item 3 Viewpnt
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Logarithms-ax & m/nth roots
Five Polynomial Operations
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What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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