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

Web Page Search

179 matches:

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

Extended Search

630 matches:

  1.    wt: 9:   B3 Bolzano Weierstrass Theorem
  2.    wt: 8:   G.1 First Fundamental Theorem of Calculus
  3.    wt: 8:   G.6 Bounded Derivatives implies Lipshitz Continuity
  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: 8:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  8.    wt: 7:   Postscript One Sided and Intermediate Value Theorems
  9.    wt: 7:   G.5 Motions With Bounded Velocities
  10.    wt: 7:   G.4 Lipschitz Continuity implies EquiContinuity
  11.    wt: 7:   G.2 Differentiable Functions Mean Value Theorem
  12.    wt: 7:   G.1 Differentiable Functions Rolles Theorem
  13.    wt: 7:   F.5b Extreme Value Theorem
  14.    wt: 7:   F.4 Finite Covering Theorem
  15.    wt: 7:   F.2 Closed Range Theorem
  16.    wt: 7:   F.1 What Functions are Continuous
  17.    wt: 7:   E2 Algebraic Properties of Limits
  18.    wt: 7:   E1 Error Control Inequalities
  19.    wt: 7:   D2 Limits of Monotone Sequences
  20.    wt: 7:   D1 Sets and Sequences GLBs and LGBs
  21.    wt: 7:   C Triangle Inequalities
  22.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
  23.    wt: 6:   PostScript For and Against Decimal Perspectives
  24.    wt: 6:   A1. Introduction
  25.    wt: 5:   3 Solving triangular system example
  26.    wt: 5:   31 Derivatives of inverse functions
  27.    wt: 5:   Chapter 23 Links To Trigonometry
  28.    wt: 5:   Chapter 18. Slopes Areas Integration
  29.    wt: 5:   Chapter 13. Acceleration
  30.    wt: 5:   Chapter 3. Slope Sign Analysis
  31.    wt: 5:   Fall 1983 Calculus Appetizer
  32.    wt: 4:   3 quadratics factoring by inspection
  33.    wt: 4:   13 Velocity Vectors in Physics
  34.    wt: 4:   3 Navigation with Arrows or Vectors
  35.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  36.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  37.    wt: 4:   13 Pythagorean spatial distance formulas
  38.    wt: 4:   3 Rectangular Coordinates Review
  39.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  40.    wt: 4:   13 video Factors of 24 using prime
  41.    wt: 4:   3 video Primes and Composites from 9 times table
  42.    wt: 4:   Example 3
  43.    wt: 4:   A Related Material in Volume 3
  44.    wt: 4:   3 Two Chain Rule Method Exercises
  45.    wt: 4:   1 Chain Rule in Reverse Integration Method
  46.    wt: 4:   A Related lessons in Volume 3
  47.    wt: 4:   38 Formulas and derivatives for powers and roots
  48.    wt: 4:   34 Derivative of exponential function
  49.    wt: 4:   33 Chain Rule Real Player video examples
  50.    wt: 4:   23 Chain Rule in general
  51.    wt: 4:   22 Chain Rule for polynomials
  52.    wt: 4:   15 sine and cosine derivatives 3rd step
  53.    wt: 4:   13 sine and cosine derivatives 1st step
  54.    wt: 4:   3 Motivation for Limit Definition Take 2
  55.    wt: 4:   13 Limits with Parameters and Derivatives Take II
  56.    wt: 4:   4 Numerical properties
  57.    wt: 4:   Chapter 24 Logarithms Powers and Exponentials
  58.    wt: 4:   Chapter 22 Complex Numbers
  59.    wt: 4:   Chapter 21 Arrow Addition
  60.    wt: 4:   Chapter 19. Exponentials and Natural Logarithms
  61.    wt: 4:   Chapter 17. Area Approximation
  62.    wt: 4:   Chapter 16. Velocity Approximation
  63.    wt: 4:   Chapter 15. Slope Approximation
  64.    wt: 4:   Chapter 15. Algebraic Evaluation of Limits
  65.    wt: 4:   Chapter 14 Limits and Continuity with and sans Decimals
  66.    wt: 4:   Chapter 9 About First Courses in Calculus
  67.    wt: 4:   Chapter 6. Slopes and Vertical Shifts
  68.    wt: 4:   Chapter 4. More Slope Sign Analysis
  69.    wt: 4:   Chapter 2. Slopes and Ski Trails
  70.    wt: 4:   Chapter 23. Notation For Sums
  71.    wt: 4:   More Algebra and Slope based Calculus Preview
  72.    wt: 4:   Systematic Algebra Skill Development Missing Links
  73.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  74.    wt: 3:   Skills Chapter 3 Algebra
  75.    wt: 3:   Education Reform Inconsistencies
  76.    wt: 3:   A Quadratics Summary
  77.    wt: 3:   9 quadratics physical and further context
  78.    wt: 3:   7 quadratic formulla derivation
  79.    wt: 3:   5 quadratics completing the square
  80.    wt: 3:   2 quadratics graphing in general
  81.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  82.    wt: 3:   14 Why Scalar Multiplication Distributes Physical Argument
  83.    wt: 3:   8 Parallel Vectors
  84.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  85.    wt: 3:   13 Trig Formulas for dot and cross Products
  86.    wt: 3:   3 Slope product for perpendicular lines
  87.    wt: 3:   8 Distance Between Points on a Line
  88.    wt: 3:   3 GE III Equation Addition and Multiplication
  89.    wt: 3:   4 Solving a triangular system exercise
  90.    wt: 3:   2 Essentially one exercises three with solution
  91.    wt: 3:   1 Essentially One Unknown
  92.    wt: 3:   3 Four Examples
  93.    wt: 3:   3 Two Examples
  94.    wt: 3:   10 video Prime Factorization upto 23 squared
  95.    wt: 3:   7 Calculator Usage Notes and Cautions
  96.    wt: 3:   5 Prime Factorization and a Square Rule
  97.    wt: 3:   3 More One Digit Multipliers
  98.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  99.    wt: 3:   Example 2 volume of a cone
  100.    wt: 3:   Example 1 volume of a pyramid
  101.    wt: 3:   Volume of Solid by Cross Sections Lesson
  102.    wt: 3:   Example 4 with x function of y
  103.    wt: 3:   Example 2
  104.    wt: 3:   Example 1
  105.    wt: 3:   Summary
  106.    wt: 3:   4 Definite Integrals Evaluation Exercises
  107.    wt: 3:   2 Indefinite Integrals Exercises
  108.    wt: 3:   4 Second derivative test exercise example
  109.    wt: 3:   3 Second derivative test
  110.    wt: 3:   2 Second derivative test prequel
  111.    wt: 3:   36 Cube root derivative animated
  112.    wt: 3:   30Chain Rule A Proof
  113.    wt: 3:   28 Chain Rule Preparation for a Proof
  114.    wt: 3:   26 Chain Rule Recognising outer inner functions
  115.    wt: 3:   21 Chain Rule for powers
  116.    wt: 3:   19 Chain Rule for linear functions
  117.    wt: 3:   14 sine and cosine derivatives 2nd step
  118.    wt: 3:   12 Quotient rule examples
  119.    wt: 3:   8 Differentiation of polynomials
  120.    wt: 3:   5 Product Rule
  121.    wt: 3:   4 Sum Rule
  122.    wt: 3:   2 Motivation for Limit Definition Take 1
  123.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  124.    wt: 3:   6 Continuity at a point
  125.    wt: 3:   5 Jumps and absence of unlimited error control
  126.    wt: 3:   3 Decimal insights for limits continuity convergence
  127.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  128.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  129.    wt: 3:   Chapter 12. Units and Slopes
  130.    wt: 3:   Chapter 11. Graphing Slope versus Position
  131.    wt: 3:   Chapter 10 Slopes and Units
  132.    wt: 3:   Chapter 8. Slope Interpretation
  133.    wt: 3:   Chapter 7 Slopes and Velocity
  134.    wt: 3:   Chapter 5. Slope Sign Tests
  135.    wt: 3:   Chapter 1.Introduction
  136.    wt: 3:   Foreword
  137.    wt: 3:   Chapter 31 Direct and Indirect Reason
  138.    wt: 3:   Chapter 30 Truth Tables
  139.    wt: 3:   Chapter 22. Geometric Sums and Sequences
  140.    wt: 3:   Chapter 13. Second Reading Guide
  141.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  142.    wt: 3:   Chapter 3 Chains of Reason
  143.    wt: 3:   Chapter 3 Algebra Difficulties
  144.    wt: 3:   Chapter 23 Truth Tables
  145.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  146.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  147.    wt: 3:   Chapter 7 Calculus Previews and Calculus Lightly
  148.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  149.    wt: 2:   Skills Chapter 5 Calculus
  150.    wt: 2:   Ramblings Extrinsic numbers theory
  151.    wt: 2:   Ramblings Introduction Algebra Essay
  152.    wt: 2:   3 Euclidean Geometry Leanly
  153.    wt: 2:   mathematics in context
  154.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  155.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  156.    wt: 2:   C Energy Power03
  157.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  158.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  159.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  160.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  161.    wt: 2:   13 Addition and Addition Tables
  162.    wt: 2:   3 Preparing for Science Studies
  163.    wt: 2:   Ages 3 plus to 4 plus
  164.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  165.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  166.    wt: 2:   sign monoticity analysis example 3
  167.    wt: 2:   23 Inverse Functions
  168.    wt: 2:   13 From one to one to many to one
  169.    wt: 2:   3 Formula or function graphing exercise
  170.    wt: 2:   10 quadratic exercises
  171.    wt: 2:   8 quadratics backward use of various formulas
  172.    wt: 2:   6 quadratics numerical approach
  173.    wt: 2:   4 quadratics difference of two squares
  174.    wt: 2:   1 quadratics graphing exercises
  175.    wt: 2:   Quadratics in 10 steps
  176.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  177.    wt: 2:   A Global Time and Navigation
  178.    wt: 2:   15 Dot and Cross Product
  179.    wt: 2:   12 From Applied To Pure Mathematics
  180.    wt: 2:   11 Component Method
  181.    wt: 2:   10 Parallelogram Addition Method
  182.    wt: 2:   9 Head to Tail Coordinate View
  183.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  184.    wt: 2:   6 Vectors with Coordinates
  185.    wt: 2:   5 Head To Tail Arrow Addition
  186.    wt: 2:   4 Resultant of a Sum of Movements
  187.    wt: 2:   2 Signed Coordinates
  188.    wt: 2:   1 Unsigned Coordinates
  189.    wt: 2:   Vector and Complex Number Applet
  190.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  191.    wt: 2:   12 Straight Lines Graphing mx plus b
  192.    wt: 2:   32 seven rows of pascals triangle
  193.    wt: 2:   31 basic secant cosecant cotangent trig identities
  194.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  195.    wt: 2:   3 Addition Properties
  196.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  197.    wt: 2:   3 Similarity by Design with coordinates
  198.    wt: 2:   12 Spatial Coordinates
  199.    wt: 2:   11 Triangle Inequality
  200.    wt: 2:   10 Pythagorean plane distance formula
  201.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  202.    wt: 2:   7 Complex Numbers Appetizer
  203.    wt: 2:   6 Polar Multiplication and Rotation
  204.    wt: 2:   5 Cartesian Addition and Translation
  205.    wt: 2:   4 Polar Coordinates to and from
  206.    wt: 2:   2 Cartesian Coordinates with signs
  207.    wt: 2:   1 Cartesian Coordinates sans signs
  208.    wt: 2:   13 Angle Side Angle Failure
  209.    wt: 2:   3 Isometry of Triangles Congruence
  210.    wt: 2:   23 Distributive Law Two Derivations
  211.    wt: 2:   3 Multiplicative Counting Skills Principles
  212.    wt: 2:   3 Inequalities Algebraically
  213.    wt: 2:   3 Proportionality Examples
  214.    wt: 2:   3 Product Axioms Two Forms
  215.    wt: 2:   13 Real Number Subtraction
  216.    wt: 2:   3 Fractions
  217.    wt: 2:   3 Geometric Formulas and Function Notation
  218.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  219.    wt: 2:   1 Proper Equal Sign Usage
  220.    wt: 2:   Formula Usage Show Work Format
  221.    wt: 2:   5 Box Volume Formula Example
  222.    wt: 2:   3 Triangle Area Formula Example
  223.    wt: 2:   3 Counting with Sets etc
  224.    wt: 2:   3 Comparison of Negative Numbers
  225.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  226.    wt: 2:   3 signed coordinates for maps and planes
  227.    wt: 2:   3 Unit fraction of a fraction
  228.    wt: 2:   3 Adding Movements with same direction
  229.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  230.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  231.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  232.    wt: 2:   20 Uniqueness of Prime Factorization
  233.    wt: 2:   19 video Prime Factorization Unique
  234.    wt: 2:   18 video Count Factors given Prime Factorization
  235.    wt: 2:   17 Identify and Count Factors using Primes
  236.    wt: 2:   16 video Factors of 980 using prime
  237.    wt: 2:   15 video Factors of 20 using Prime Factorization
  238.    wt: 2:   14 video Factors of 24 Take II
  239.    wt: 2:   12 LCD GCD and LCM using Primes
  240.    wt: 2:   11 Efficient Square Rule Use
  241.    wt: 2:   9 video Prime Factorization upto 19 squared
  242.    wt: 2:   8 video Prime Factorization upto 19
  243.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  244.    wt: 2:   4 video Prime Factorization Introduction
  245.    wt: 2:   2 Prime and Composites less than 16
  246.    wt: 2:   1 video how Products are bigger than factor
  247.    wt: 2:   3 Division Single Digit Divisor Example
  248.    wt: 2:   5 Decimal Fraction Multiplication
  249.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  250.    wt: 2:   1 Why 3 times 5 gives 15
  251.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  252.    wt: 2:   3. How to add with decimals A sans conversions
  253.    wt: 2:   Example 1. Area Between x and x squared
  254.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  255.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  256.    wt: 2:   Area Between Curves Lesson Take 2
  257.    wt: 2:   Area Between Curves Lesson Take 1
  258.    wt: 2:   5 Area Under Curve Exercise
  259.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  260.    wt: 2:   A Chain Rule Real Player video examples
  261.    wt: 2:   29 Chain Rule Optional Reading
  262.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  263.    wt: 2:   25 Chain Rule Animated Examples Continued
  264.    wt: 2:   24 Chain Rule Animated Examples
  265.    wt: 2:   20 Chain Rule for Pulley Systems
  266.    wt: 2:   18 Chain Rule Introduction
  267.    wt: 2:   17 Derivatives of quotients of sine and cosine
  268.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  269.    wt: 2:   11 Quotient rule
  270.    wt: 2:   10 Power rule for negative integers
  271.    wt: 2:   9 Reciprocal rule
  272.    wt: 2:   7 Animated Differentiation Examples
  273.    wt: 2:   6 Power rule from product rule
  274.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  275.    wt: 2:   11 Limits at infinity Three Examples
  276.    wt: 2:   10 Three one sided limits with infinite values
  277.    wt: 2:   9 Limits Continuity and Composition
  278.    wt: 2:   8 Four Animated Examples
  279.    wt: 2:   7 Evaluation by immediate or delayed substitution
  280.    wt: 2:   2 Algebraic codification
  281.    wt: 2:   1 Numerical introduction
  282.    wt: 2:   Appendix C. How to Read
  283.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  284.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  285.    wt: 2:   Chapter 25. Mathematical Induction Examples
  286.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  287.    wt: 2:   Chapter 20. Degrees and Radians
  288.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  289.    wt: 2:   Chapter 8 Three Skills For Algebra
  290.    wt: 2:   Postscript A Three Remarks
  291.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  292.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  293.    wt: 2:   Chapter 3 Algebra Starter Lessons
  294.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  295.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  296.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  297.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  298.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  299.    wt: 2:   Implementation Notes
  300.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  301.    wt: 1:   Appendix 2 primary school Arithmetic 01
  302.    wt: 1:   Appendix 1 primary and preschool mathematic
  303.    wt: 1:   K LAMP Musings Science Education
  304.    wt: 1:   J LAMP Introduction Extrinsic Origins
  305.    wt: 1:   I LAMP Introduction Study Habits
  306.    wt: 1:   H LAMP Introduction Instructional Concepts
  307.    wt: 1:   G LAMP Introduction Problem Solving Skills
  308.    wt: 1:   F LAMP Introduction Prerequisites
  309.    wt: 1:   E LAMP Introduction Modern Mathematics
  310.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  311.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  312.    wt: 1:   A Introduction Objectives
  313.    wt: 1:   Skills Chapter 4 Logic
  314.    wt: 1:   Skills Chapter 2 Geometry
  315.    wt: 1:   Skills Chapter 1 Arithmetic
  316.    wt: 1:   Skills Chapter 0 Introduction
  317.    wt: 1:   permissions for teachers
  318.    wt: 1:   Math Ed if it must be short make it lean effective
  319.    wt: 1:   modern education
  320.    wt: 1:   learning takes time
  321.    wt: 1:   grouping students according to ability
  322.    wt: 1:   what should be learnt and When
  323.    wt: 1:   Postscript 2007 01 10
  324.    wt: 1:   five decades make a difference
  325.    wt: 1:   teaching tutoring algebraic reason
  326.    wt: 1:   the trouble with algebra
  327.    wt: 1:   05 13 OldSiteEntrancePage
  328.    wt: 1:   Theory of Knowledge
  329.    wt: 1:   Different Kinds of Reasoning in maths
  330.    wt: 1:   Four ways to improve education reform
  331.    wt: 1:   Motivation and Context Problem
  332.    wt: 1:   chapitre 12 00 les iles et division
  333.    wt: 1:   chapitre 07 01 principle D induction mathematique
  334.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  335.    wt: 1:   chapitre 06 00 Chaines de la raison
  336.    wt: 1:   chapitre 05 00 Deception
  337.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  338.    wt: 1:   chapitre 04 09 Regles accidentelles
  339.    wt: 1:   chapitre 04 08 Limitations et benefices
  340.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  341.    wt: 1:   chapitre 04 06 engagements
  342.    wt: 1:   chapitre 04 05 Implication versus suggestion
  343.    wt: 1:   chapitre 04 04 Parlons de la logique
  344.    wt: 1:   chapitre 04 02 Deuxieme enigme
  345.    wt: 1:   chapitre 04 01 Premiere enigme
  346.    wt: 1:   chapitre 04 00 Les regles d implication
  347.    wt: 1:   chapitre 02 00 La Communication des idees
  348.    wt: 1:   chapitre 01 00 Introduction
  349.    wt: 1:   liens
  350.    wt: 1:   3 Energy Power Heat08
  351.    wt: 1:   E Wire Resistance Calculation03
  352.    wt: 1:   A Wire Resistance Qualitative01
  353.    wt: 1:   3 Like resistors in parallel
  354.    wt: 1:   B Electromotive force conventional current01
  355.    wt: 1:   22 Student Centered Highschool Mathematics
  356.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  357.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  358.    wt: 1:   Ages 12 to 14 Skills with take home value
  359.    wt: 1:   Ages 12 to 14 Geometry
  360.    wt: 1:   Ages 12 to 14 Arithmetic
  361.    wt: 1:   Ages 10 to 12 Geometry
  362.    wt: 1:   Ages 10 to 12 Arithmetic
  363.    wt: 1:   Ages 9 to 10
  364.    wt: 1:   10 Exponential Growth and Decay Models
  365.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  366.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  367.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  368.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  369.    wt: 1:   2 Square Root Simplification a prequel
  370.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  371.    wt: 1:   3 Polynomials Multiplication Addition
  372.    wt: 1:   13 cosecant function Definition Graph and Inverse
  373.    wt: 1:   3 Left Inverse of cosine arccos definition
  374.    wt: 1:   2 Radian Measure Numerical Value of one degree
  375.    wt: 1:   1 Degrees and Radians Introduction
  376.    wt: 1:   3 graphing y=f(x c) plus K
  377.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  378.    wt: 1:   Straight Lines Intersection of
  379.    wt: 1:   14 Straight Lines Equations General Case
  380.    wt: 1:   11 Straight Lines Graphing y=mx
  381.    wt: 1:   10 Straight Lines through Origin Equations More
  382.    wt: 1:   9 Straight Lines through Origin Equations
  383.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  384.    wt: 1:   30 unit circle calculation of six trigonometric functions
  385.    wt: 1:   24 tangent Angle Difference Formula
  386.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  387.    wt: 1:   17G Pythagorean Theorem Converse
  388.    wt: 1:   17F Law of cosines
  389.    wt: 1:   17E Trig Formulas for dot and cross Products
  390.    wt: 1:   17D cis formulas for sine cosines and tangent
  391.    wt: 1:   17C sine and cosine double triple angle formulas
  392.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  393.    wt: 1:   17A The complex number valued trig function cis
  394.    wt: 1:   15 sine cosine Complementary Angle Relations
  395.    wt: 1:   13 Graph of tangent function many periods
  396.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  397.    wt: 1:   21 Logarithms Powers and Exponentials
  398.    wt: 1:   20 N th Roots of Complex Numbers
  399.    wt: 1:   15 Pythagorean Theorem Converse
  400.    wt: 1:   14 Law of cosines
  401.    wt: 1:   12 cis formulas for sine cosines and tangent
  402.    wt: 1:   11 sine and cosine double triple angle formulas
  403.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  404.    wt: 1:   9 The complex number valued trig function cis
  405.    wt: 1:   7 Second Way to Calculate Products
  406.    wt: 1:   5 An Easy Proof of the Distributive Law
  407.    wt: 1:   2 Complex Numbers made easier we hope
  408.    wt: 1:   3 Trigonometric Ratios sine and cosine
  409.    wt: 1:   Why Trigonometry the whyslopes view
  410.    wt: 1:   6 Geometric Diagrams in Class
  411.    wt: 1:   11 A Partial Summary
  412.    wt: 1:   10 Midpoint of [a b] and [b a]
  413.    wt: 1:   4 Equations for lines three forms
  414.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  415.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  416.    wt: 1:   PS B Parallelogram Construction Methods
  417.    wt: 1:   3 Lengths and Areas on Maps and Plans
  418.    wt: 1:   26 More Less Greater Than Comparison
  419.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  420.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  421.    wt: 1:   22 Multiplication of Signed Numbers
  422.    wt: 1:   13 Arrows and Vectors in a Plane
  423.    wt: 1:   3 Location of Point in Decimal Multiplication
  424.    wt: 1:   5 Areas of Rectangles Revisited
  425.    wt: 1:   4 Fraction Operations Axiomatic Development
  426.    wt: 1:   2 Fraction Operations Physical Development
  427.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  428.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  429.    wt: 1:   5 Triangle Area Formula Backwards
  430.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  431.    wt: 1:   3 Linear Equation Literal Solution More
  432.    wt: 1:   1 Changing Calculations
  433.    wt: 1:   6 Equations and Systems Equivalent or Implied
  434.    wt: 1:   5 Equality in Algebra
  435.    wt: 1:   4 Subtraction and Division Axioms
  436.    wt: 1:   2 Addition and Multiplication Axioms
  437.    wt: 1:   1 Equivalent Computation Rules
  438.    wt: 1:   3 More and Less Than with Unlike Signs
  439.    wt: 1:   1 Real Numbers Comparison
  440.    wt: 1:   16 Real Numbers Comparison
  441.    wt: 1:   15 Real Number Division
  442.    wt: 1:   14 Real Number Multiplication
  443.    wt: 1:   11 Real Number Addition
  444.    wt: 1:   8 Coordinates for Maps and Planes
  445.    wt: 1:   7 Real Numbers as Line Cordinates
  446.    wt: 1:   6 Unsigned Real Numbers
  447.    wt: 1:   5 Rational Numbers More
  448.    wt: 1:   4 Rational Numbers
  449.    wt: 1:   2 Integers
  450.    wt: 1:   1 Whole and Natural Numbers
  451.    wt: 1:   4 Changing Letters
  452.    wt: 1:   2 Computation Rules Evaluation
  453.    wt: 1:   1 Formulas Dependence and Function Notation
  454.    wt: 1:   More Exercises
  455.    wt: 1:   Simple Exercises
  456.    wt: 1:   4 GE III Animated Examples
  457.    wt: 1:   2 GE II Comparison
  458.    wt: 1:   1 GE Substitution four examples
  459.    wt: 1:   6 Algebraic Solution Example
  460.    wt: 1:   5 Algebraic Solutions Introduction
  461.    wt: 1:   4 Four Examples Fractional Coefficients
  462.    wt: 1:   2 Three Examples
  463.    wt: 1:   Skill Development Notes
  464.    wt: 1:   10 One Example
  465.    wt: 1:   9 Three Examples
  466.    wt: 1:   8 One Example
  467.    wt: 1:   7 Two Examples
  468.    wt: 1:   6 Three Examples
  469.    wt: 1:   5 Three Examples
  470.    wt: 1:   4 Two Examples
  471.    wt: 1:   2 Three Examples
  472.    wt: 1:   Using Letters for Physical Quantities
  473.    wt: 1:   13 Naming Identifying Formulas with Words
  474.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  475.    wt: 1:   11 Volume of Sphere
  476.    wt: 1:   10 Volume of Pyramid
  477.    wt: 1:   9 Volume of Cone
  478.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  479.    wt: 1:   4 Circle Area Formula Example
  480.    wt: 1:   2 Another Rectangle Area Formula Example
  481.    wt: 1:   1 Written work formats for developing and showing skill
  482.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  483.    wt: 1:   8 Sets of Numbers
  484.    wt: 1:   6 Power Set Notation
  485.    wt: 1:   5 Product Builder Notation
  486.    wt: 1:   4 Subset Builder Notation
  487.    wt: 1:   1 Finite Sets
  488.    wt: 1:   5 Talking about Numbers and Quantities
  489.    wt: 1:   3 Adding Words To Arithmetic
  490.    wt: 1:   1 Three Skills For Algebra
  491.    wt: 1:   3 Properties of Square Roots with example
  492.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  493.    wt: 1:   13 GCD from given Prime Factorization
  494.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  495.    wt: 1:   2 Least Common Multiple LCM intro via list method
  496.    wt: 1:   3 Counting with Tables and Trees II
  497.    wt: 1:   11 What are real lengths and numbers
  498.    wt: 1:   10 dividing signed numbers
  499.    wt: 1:   9 subtracting signed numbers
  500.    wt: 1:   8 multiplying signed numbers
  501.    wt: 1:   2 signed and unsigned numbers as coordinates
  502.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  503.    wt: 1:   3 Multiplying Units and Numbers
  504.    wt: 1:   22 Complex Compound Fractions
  505.    wt: 1:   13 Fraction Comparison Algebraic View
  506.    wt: 1:   6 Multiplication of Mixed Numbers
  507.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  508.    wt: 1:   A Associative Law Theorectical Note
  509.    wt: 1:   13 Subtraction with Additive Inverse
  510.    wt: 1:   10 Integer Multiplication Formulas
  511.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  512.    wt: 1:   26 Divisibility by 2 3 5 Example
  513.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  514.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  515.    wt: 1:   23 Remainder Arithmetic Modulo 2
  516.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  517.    wt: 1:   21 Remainder Arithmetic Modulo 3
  518.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  519.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  520.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  521.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  522.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  523.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  524.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  525.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  526.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  527.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  528.    wt: 1:   Long Division Backward
  529.    wt: 1:   Long Division forwards and backwards Example 3
  530.    wt: 1:   D Decimal Multiplication Methods Derived
  531.    wt: 1:   C Counting Areas with Powers of Ten
  532.    wt: 1:   B Powers of Ten
  533.    wt: 1:   A Elementary Basis for Multiplication Methods
  534.    wt: 1:   6 Multiplication Commutes Order Not Important
  535.    wt: 1:   4 Two and Three Digit Multipliers
  536.    wt: 1:   2 One Digit Multipliers
  537.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  538.    wt: 1:   Video Power Notation in Decimal Expansion
  539.    wt: 1:   Subtraction Another Video Lesson
  540.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  541.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  542.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  543.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  544.    wt: 1:   Expression Evaluation how to show work
  545.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  546.    wt: 1:   013 Travel Time Tables
  547.    wt: 1:   6 How long is a million seconds
  548.    wt: 1:   3 Units and Lengths of Time
  549.    wt: 1:   Postscript More on Better Performance
  550.    wt: 1:   Postscript For Better Performance
  551.    wt: 1:   Appendix E. How To Study Mathematics and Why
  552.    wt: 1:   Appendix D. What to do in School and Why
  553.    wt: 1:   Appendix B. How To Learn
  554.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  555.    wt: 1:   Chapter 28 Occurrence Tables
  556.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  557.    wt: 1:   Chapter 21. Third Reading Guide
  558.    wt: 1:   Chapter 19. Functions and Sets
  559.    wt: 1:   Chapter 18. Rules for Algebra
  560.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  561.    wt: 1:   Chapter 16. Painless Theorem Proving
  562.    wt: 1:   Chapter 15. Solving Linear Equations
  563.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  564.    wt: 1:   Chapter 12. Shorthand Usage Guide
  565.    wt: 1:   Chapter 11. Why Shorthand
  566.    wt: 1:   Chapter 10 Describing and Changing Calculations
  567.    wt: 1:   Postscript What is a Variable
  568.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  569.    wt: 1:   Solutions For Arithmetic Exercises
  570.    wt: 1:   Chapter 6 Change of Language
  571.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  572.    wt: 1:   Chapter 4 Longer Chains of Reason
  573.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  574.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  575.    wt: 1:   Foreword
  576.    wt: 1:   Annotated Links to Material Elsehwere
  577.    wt: 1:   Postscript B Mathematics Education References
  578.    wt: 1:   Chapter 12 Four Phases
  579.    wt: 1:   Chapter 11 Elementary Instruction
  580.    wt: 1:   Chapter 10 Transition
  581.    wt: 1:   Chapter 9 The Two Ends
  582.    wt: 1:   Chapter 8 Modern Instruction
  583.    wt: 1:   Chapter 7 Two Treatments of Geometry
  584.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  585.    wt: 1:   Chapter 5 Four References
  586.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  587.    wt: 1:   Chapter 2 For and Against Mathematics
  588.    wt: 1:   Chapter 1 Introduction
  589.    wt: 1:   Foreword
  590.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  591.    wt: 1:   Postscript C Consistency as a Tool for Reason
  592.    wt: 1:   Postscript B More on Story Telling and Reason
  593.    wt: 1:   Postscript A Story Telling
  594.    wt: 1:   Chapter 24 Direct and Indirect Reason
  595.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  596.    wt: 1:   Chapter 21 Occurrence Tables
  597.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  598.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  599.    wt: 1:   Chapter 18 Sense and Knowledge
  600.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  601.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  602.    wt: 1:   Chapter 15 Objective Processes
  603.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  604.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  605.    wt: 1:   Chapter 11 Accidental Patterns
  606.    wt: 1:   Chapter 10 Responsibility
  607.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  608.    wt: 1:   Chapter 8 Change of Language
  609.    wt: 1:   Chapter 7 Longer Chains of Reason
  610.    wt: 1:   Chapter 6 Chains of Reason
  611.    wt: 1:   Chapter 5 Deception
  612.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  613.    wt: 1:   Chapter 2 Skill Development
  614.    wt: 1:   Chapter 1 Introduction
  615.    wt: 1:   Three Remarks
  616.    wt: 1:   Foreword
  617.    wt: 1:   M Words to extend arithmetic
  618.    wt: 1:   N Improving Marks on Tests and Finals
  619.    wt: 1:   G. Written work formats for developing and showing skill
  620.    wt: 1:   C. Domino effect of being careful
  621.    wt: 1:   Chapter 1 Arithmetic
  622.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  623.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  624.    wt: 1:   Helping the Blind in Logic and Mathematics
  625.    wt: 1:   Mathematics Education References
  626.    wt: 1:   Mathematics Education References
  627.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  628.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  629.    wt: 1:   Which Way To Go
  630.    wt: 13:   G.2 Lipshitz Conditions Integration Calculus Reform

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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