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

Web Page Search

206 matches:

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

Extended Search

565 matches:

  1.    wt: 9:   G.3 Constant Difference Theorem Proof
  2.    wt: 9:   G.2 Differentiable Functions Mean Value Theorem
  3.    wt: 9:   F.3 Intermediate Value Theorem
  4.    wt: 9:   B3 Bolzano Weierstrass Theorem
  5.    wt: 8:   Postscript One Sided and Intermediate Value Theorems
  6.    wt: 8:   G.1 First Fundamental Theorem of Calculus
  7.    wt: 8:   F.5b Extreme Value Theorem
  8.    wt: 8:   F.5a Equicontinuity Theorems
  9.    wt: 8:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  10.    wt: 7:   G.2 Lipshitz Conditions Integration Calculus Reform
  11.    wt: 7:   G.1 Differentiable Functions Rolles Theorem
  12.    wt: 7:   F.4 Finite Covering Theorem
  13.    wt: 7:   F.2 Closed Range Theorem
  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:   3 More on Groups of 3 Multi Digit Place Value
  28.    wt: 5:   Postscript Pythagorean Theorem yet another proof
  29.    wt: 5:   Chapter 23 Links To Trigonometry
  30.    wt: 5:   Chapter 13. Acceleration
  31.    wt: 5:   Chapter 3. Slope Sign Analysis
  32.    wt: 5:   Fall 1983 Calculus Appetizer
  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:   9 Pythagorean Theorem Chinese Square Proof
  39.    wt: 4:   3 Rectangular Coordinates Review
  40.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  41.    wt: 4:   13 video Factors of 24 using prime
  42.    wt: 4:   3 video Primes and Composites from 9 times table
  43.    wt: 4:   Example 3
  44.    wt: 4:   A Related lessons in Volume 3
  45.    wt: 4:   33 Chain Rule Real Player video examples
  46.    wt: 4:   31 Derivatives of inverse functions
  47.    wt: 4:   30Chain Rule A Proof
  48.    wt: 4:   Chapter 9 About First Courses in Calculus
  49.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  50.    wt: 3:   Skills Chapter 3 Algebra
  51.    wt: 3:   3 quadratics factoring by inspection
  52.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  53.    wt: 3:   3 GE III Equation Addition and Multiplication
  54.    wt: 3:   4 Solving a triangular system exercise
  55.    wt: 3:   2 Essentially one exercises three with solution
  56.    wt: 3:   1 Essentially One Unknown
  57.    wt: 3:   3 Four Examples
  58.    wt: 3:   3 Two Examples
  59.    wt: 3:   10 video Prime Factorization upto 23 squared
  60.    wt: 3:   3 More One Digit Multipliers
  61.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  62.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  63.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  64.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  65.    wt: 3:   Example 2 volume of a cone
  66.    wt: 3:   Example 1 volume of a pyramid
  67.    wt: 3:   Volume of Solid by Cross Sections Lesson
  68.    wt: 3:   Example 4 with x function of y
  69.    wt: 3:   Example 2
  70.    wt: 3:   Example 1
  71.    wt: 3:   A Related Material in Volume 3
  72.    wt: 3:   3 Second derivative test
  73.    wt: 3:   2 Second derivative test prequel
  74.    wt: 3:   38 Formulas and derivatives for powers and roots
  75.    wt: 3:   36 Cube root derivative animated
  76.    wt: 3:   34 Derivative of exponential function
  77.    wt: 3:   28 Chain Rule Preparation for a Proof
  78.    wt: 3:   23 Chain Rule in general
  79.    wt: 3:   22 Chain Rule for polynomials
  80.    wt: 3:   15 sine and cosine derivatives 3rd step
  81.    wt: 3:   13 sine and cosine derivatives 1st step
  82.    wt: 3:   12 Quotient rule examples
  83.    wt: 3:   5 Product Rule
  84.    wt: 3:   3 Motivation for Limit Definition Take 2
  85.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  86.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  87.    wt: 3:   10 Three one sided limits with infinite values
  88.    wt: 3:   4 Numerical properties
  89.    wt: 3:   3 Decimal insights for limits continuity convergence
  90.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  91.    wt: 3:   Chapter 22 Complex Numbers
  92.    wt: 3:   Chapter 21 Arrow Addition
  93.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  94.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  95.    wt: 3:   Chapter 18. Slopes Areas Integration
  96.    wt: 3:   Chapter 17. Area Approximation
  97.    wt: 3:   Chapter 16. Velocity Approximation
  98.    wt: 3:   Chapter 15. Slope Approximation
  99.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  100.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  101.    wt: 3:   Chapter 12. Units and Slopes
  102.    wt: 3:   Chapter 11. Graphing Slope versus Position
  103.    wt: 3:   Chapter 10 Slopes and Units
  104.    wt: 3:   Chapter 8. Slope Interpretation
  105.    wt: 3:   Chapter 7 Slopes and Velocity
  106.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  107.    wt: 3:   Chapter 5. Slope Sign Tests
  108.    wt: 3:   Chapter 4. More Slope Sign Analysis
  109.    wt: 3:   Chapter 2. Slopes and Ski Trails
  110.    wt: 3:   Chapter 1.Introduction
  111.    wt: 3:   Foreword
  112.    wt: 3:   Chapter 31 Direct and Indirect Reason
  113.    wt: 3:   Chapter 30 Truth Tables
  114.    wt: 3:   Chapter 23. Notation For Sums
  115.    wt: 3:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  116.    wt: 3:   Chapter 13. Second Reading Guide
  117.    wt: 3:   Chapter 3 Chains of Reason
  118.    wt: 3:   Chapter 3 Algebra Difficulties
  119.    wt: 3:   Chapter 23 Truth Tables
  120.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  121.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  122.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  123.    wt: 3:   More Algebra and Slope based Calculus Preview
  124.    wt: 3:   Systematic Algebra Skill Development Missing Links
  125.    wt: 2:   Skills Chapter 5 Calculus
  126.    wt: 2:   Ramblings Extrinsic numbers theory
  127.    wt: 2:   Ramblings Introduction Algebra Essay
  128.    wt: 2:   3 Euclidean Geometry Leanly
  129.    wt: 2:   Education Reform Inconsistencies
  130.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  131.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  132.    wt: 2:   C Energy Power03
  133.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  134.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  135.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  136.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  137.    wt: 2:   13 Addition and Addition Tables
  138.    wt: 2:   3 Preparing for Science Studies
  139.    wt: 2:   Ages 3 plus to 4 plus
  140.    wt: 2:   sign monoticity analysis example 3
  141.    wt: 2:   23 Inverse Functions
  142.    wt: 2:   13 From one to one to many to one
  143.    wt: 2:   3 Formula or function graphing exercise
  144.    wt: 2:   A Quadratics Summary
  145.    wt: 2:   10 quadratic exercises
  146.    wt: 2:   9 quadratics physical and further context
  147.    wt: 2:   8 quadratics backward use of various formulas
  148.    wt: 2:   7 quadratic formulla derivation
  149.    wt: 2:   6 quadratics numerical approach
  150.    wt: 2:   5 quadratics completing the square
  151.    wt: 2:   4 quadratics difference of two squares
  152.    wt: 2:   2 quadratics graphing in general
  153.    wt: 2:   1 quadratics graphing exercises
  154.    wt: 2:   Quadratics in 10 steps
  155.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  156.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  157.    wt: 2:   A Global Time and Navigation
  158.    wt: 2:   15 Dot and Cross Product
  159.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  160.    wt: 2:   12 From Applied To Pure Mathematics
  161.    wt: 2:   11 Component Method
  162.    wt: 2:   10 Parallelogram Addition Method
  163.    wt: 2:   9 Head to Tail Coordinate View
  164.    wt: 2:   8 Parallel Vectors
  165.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  166.    wt: 2:   6 Vectors with Coordinates
  167.    wt: 2:   5 Head To Tail Arrow Addition
  168.    wt: 2:   4 Resultant of a Sum of Movements
  169.    wt: 2:   2 Signed Coordinates
  170.    wt: 2:   1 Unsigned Coordinates
  171.    wt: 2:   Vector and Complex Number Applet
  172.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  173.    wt: 2:   12 Straight Lines Graphing mx plus b
  174.    wt: 2:   32 seven rows of pascals triangle
  175.    wt: 2:   31 basic secant cosecant cotangent trig identities
  176.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  177.    wt: 2:   13 Trig Formulas for dot and cross Products
  178.    wt: 2:   3 Addition Properties
  179.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  180.    wt: 2:   3 Similarity by Design with coordinates
  181.    wt: 2:   3 Slope product for perpendicular lines
  182.    wt: 2:   12 Spatial Coordinates
  183.    wt: 2:   11 Triangle Inequality
  184.    wt: 2:   10 Pythagorean plane distance formula
  185.    wt: 2:   8 Distance Between Points on a Line
  186.    wt: 2:   7 Complex Numbers Appetizer
  187.    wt: 2:   6 Polar Multiplication and Rotation
  188.    wt: 2:   5 Cartesian Addition and Translation
  189.    wt: 2:   4 Polar Coordinates to and from
  190.    wt: 2:   2 Cartesian Coordinates with signs
  191.    wt: 2:   1 Cartesian Coordinates sans signs
  192.    wt: 2:   13 Angle Side Angle Failure
  193.    wt: 2:   3 Isometry of Triangles Congruence
  194.    wt: 2:   23 Distributive Law Two Derivations
  195.    wt: 2:   3 Multiplicative Counting Skills Principles
  196.    wt: 2:   3 Proportionality Examples
  197.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  198.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  199.    wt: 2:   3 Comparison of Negative Numbers
  200.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  201.    wt: 2:   3 Unit fraction of a fraction
  202.    wt: 2:   3 Adding Movements with same direction
  203.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  204.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  205.    wt: 2:   20 Uniqueness of Prime Factorization
  206.    wt: 2:   19 video Prime Factorization Unique
  207.    wt: 2:   18 video Count Factors given Prime Factorization
  208.    wt: 2:   17 Identify and Count Factors using Primes
  209.    wt: 2:   16 video Factors of 980 using prime
  210.    wt: 2:   15 video Factors of 20 using Prime Factorization
  211.    wt: 2:   14 video Factors of 24 Take II
  212.    wt: 2:   12 LCD GCD and LCM using Primes
  213.    wt: 2:   11 Efficient Square Rule Use
  214.    wt: 2:   9 video Prime Factorization upto 19 squared
  215.    wt: 2:   8 video Prime Factorization upto 19
  216.    wt: 2:   7 Calculator Usage Notes and Cautions
  217.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  218.    wt: 2:   5 Prime Factorization and a Square Rule
  219.    wt: 2:   4 video Prime Factorization Introduction
  220.    wt: 2:   2 Prime and Composites less than 16
  221.    wt: 2:   1 video how Products are bigger than factor
  222.    wt: 2:   3 Division Single Digit Divisor Example
  223.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  224.    wt: 2:   1 Why 3 times 5 gives 15
  225.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  226.    wt: 2:   3. How to add with decimals A sans conversions
  227.    wt: 2:   11 Place Value SI Standard International way
  228.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  229.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  230.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  231.    wt: 2:   013 Travel Time Tables
  232.    wt: 2:   3 Units and Lengths of Time
  233.    wt: 2:   Example 1. Area Between x and x squared
  234.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  235.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  236.    wt: 2:   Area Between Curves Lesson Take 2
  237.    wt: 2:   Area Between Curves Lesson Take 1
  238.    wt: 2:   Summary
  239.    wt: 2:   3 Two Chain Rule Method Exercises
  240.    wt: 2:   4 Second derivative test exercise example
  241.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  242.    wt: 2:   A Chain Rule Real Player video examples
  243.    wt: 2:   29 Chain Rule Optional Reading
  244.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  245.    wt: 2:   26 Chain Rule Recognising outer inner functions
  246.    wt: 2:   25 Chain Rule Animated Examples Continued
  247.    wt: 2:   24 Chain Rule Animated Examples
  248.    wt: 2:   21 Chain Rule for powers
  249.    wt: 2:   20 Chain Rule for Pulley Systems
  250.    wt: 2:   19 Chain Rule for linear functions
  251.    wt: 2:   18 Chain Rule Introduction
  252.    wt: 2:   17 Derivatives of quotients of sine and cosine
  253.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  254.    wt: 2:   14 sine and cosine derivatives 2nd step
  255.    wt: 2:   11 Quotient rule
  256.    wt: 2:   10 Power rule for negative integers
  257.    wt: 2:   9 Reciprocal rule
  258.    wt: 2:   8 Differentiation of polynomials
  259.    wt: 2:   7 Animated Differentiation Examples
  260.    wt: 2:   6 Power rule from product rule
  261.    wt: 2:   4 Sum Rule
  262.    wt: 2:   2 Motivation for Limit Definition Take 1
  263.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  264.    wt: 2:   11 Limits at infinity Three Examples
  265.    wt: 2:   9 Limits Continuity and Composition
  266.    wt: 2:   8 Four Animated Examples
  267.    wt: 2:   7 Evaluation by immediate or delayed substitution
  268.    wt: 2:   6 Continuity at a point
  269.    wt: 2:   5 Jumps and absence of unlimited error control
  270.    wt: 2:   2 Algebraic codification
  271.    wt: 2:   1 Numerical introduction
  272.    wt: 2:   Appendix C. How to Read
  273.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  274.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  275.    wt: 2:   Chapter 16. Painless Theorem Proving
  276.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  277.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  278.    wt: 2:   Postscript A Three Remarks
  279.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  280.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  281.    wt: 2:   Chapter 3 Algebra Starter Lessons
  282.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  283.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  284.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  285.    wt: 2:   Implementation Notes
  286.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  287.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  288.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  289.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  290.    wt: 1:   Appendix 2 primary school Arithmetic 01
  291.    wt: 1:   Appendix 1 primary and preschool mathematic
  292.    wt: 1:   K LAMP Musings Science Education
  293.    wt: 1:   J LAMP Introduction Extrinsic Origins
  294.    wt: 1:   I LAMP Introduction Study Habits
  295.    wt: 1:   H LAMP Introduction Instructional Concepts
  296.    wt: 1:   G LAMP Introduction Problem Solving Skills
  297.    wt: 1:   F LAMP Introduction Prerequisites
  298.    wt: 1:   E LAMP Introduction Modern Mathematics
  299.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  300.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  301.    wt: 1:   A Introduction Objectives
  302.    wt: 1:   Skills Chapter 4 Logic
  303.    wt: 1:   Skills Chapter 2 Geometry
  304.    wt: 1:   Skills Chapter 1 Arithmetic
  305.    wt: 1:   Skills Chapter 0 Introduction
  306.    wt: 1:   permissions for teachers
  307.    wt: 1:   Math Ed if it must be short make it lean effective
  308.    wt: 1:   modern education
  309.    wt: 1:   learning takes time
  310.    wt: 1:   grouping students according to ability
  311.    wt: 1:   what should be learnt and When
  312.    wt: 1:   mathematics in context
  313.    wt: 1:   Postscript 2007 01 10
  314.    wt: 1:   five decades make a difference
  315.    wt: 1:   teaching tutoring algebraic reason
  316.    wt: 1:   the trouble with algebra
  317.    wt: 1:   05 13 OldSiteEntrancePage
  318.    wt: 1:   Operational Viewpoint to Value
  319.    wt: 1:   Theory of Knowledge
  320.    wt: 1:   Different Kinds of Reasoning in maths
  321.    wt: 1:   chapitre 12 00 les iles et division
  322.    wt: 1:   chapitre 07 01 principle D induction mathematique
  323.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  324.    wt: 1:   chapitre 06 00 Chaines de la raison
  325.    wt: 1:   chapitre 05 00 Deception
  326.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  327.    wt: 1:   chapitre 04 09 Regles accidentelles
  328.    wt: 1:   chapitre 04 08 Limitations et benefices
  329.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  330.    wt: 1:   chapitre 04 06 engagements
  331.    wt: 1:   chapitre 04 05 Implication versus suggestion
  332.    wt: 1:   chapitre 04 04 Parlons de la logique
  333.    wt: 1:   chapitre 04 02 Deuxieme enigme
  334.    wt: 1:   chapitre 04 01 Premiere enigme
  335.    wt: 1:   chapitre 04 00 Les regles d implication
  336.    wt: 1:   chapitre 02 00 La Communication des idees
  337.    wt: 1:   chapitre 01 00 Introduction
  338.    wt: 1:   liens
  339.    wt: 1:   3 Energy Power Heat08
  340.    wt: 1:   E Wire Resistance Calculation03
  341.    wt: 1:   A Wire Resistance Qualitative01
  342.    wt: 1:   3 Like resistors in parallel
  343.    wt: 1:   B Electromotive force conventional current01
  344.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  345.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  346.    wt: 1:   10 Ends values for work study instruction
  347.    wt: 1:   Ages 12 to 14 Skills with take home value
  348.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  349.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  350.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  351.    wt: 1:   3 Polynomials Multiplication Addition
  352.    wt: 1:   13 cosecant function Definition Graph and Inverse
  353.    wt: 1:   3 Left Inverse of cosine arccos definition
  354.    wt: 1:   2 Radian Measure Numerical Value of one degree
  355.    wt: 1:   3 graphing y=f(x c) plus K
  356.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  357.    wt: 1:   Straight Lines Intersection of
  358.    wt: 1:   14 Straight Lines Equations General Case
  359.    wt: 1:   11 Straight Lines Graphing y=mx
  360.    wt: 1:   10 Straight Lines through Origin Equations More
  361.    wt: 1:   9 Straight Lines through Origin Equations
  362.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  363.    wt: 1:   30 unit circle calculation of six trigonometric functions
  364.    wt: 1:   24 tangent Angle Difference Formula
  365.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  366.    wt: 1:   17G Pythagorean Theorem Converse
  367.    wt: 1:   17A The complex number valued trig function cis
  368.    wt: 1:   15 sine cosine Complementary Angle Relations
  369.    wt: 1:   13 Graph of tangent function many periods
  370.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  371.    wt: 1:   15 Pythagorean Theorem Converse
  372.    wt: 1:   9 The complex number valued trig function cis
  373.    wt: 1:   5 An Easy Proof of the Distributive Law
  374.    wt: 1:   3 Trigonometric Ratios sine and cosine
  375.    wt: 1:   6 Geometric Diagrams in Class
  376.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  377.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  378.    wt: 1:   3 Lengths and Areas on Maps and Plans
  379.    wt: 1:   26 More Less Greater Than Comparison
  380.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  381.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  382.    wt: 1:   22 Multiplication of Signed Numbers
  383.    wt: 1:   13 Arrows and Vectors in a Plane
  384.    wt: 1:   3 Location of Point in Decimal Multiplication
  385.    wt: 1:   3 Inequalities Algebraically
  386.    wt: 1:   3 Linear Equation Literal Solution More
  387.    wt: 1:   3 Product Axioms Two Forms
  388.    wt: 1:   3 More and Less Than with Unlike Signs
  389.    wt: 1:   13 Real Number Subtraction
  390.    wt: 1:   3 Fractions
  391.    wt: 1:   3 Geometric Formulas and Function Notation
  392.    wt: 1:   More Exercises
  393.    wt: 1:   Simple Exercises
  394.    wt: 1:   4 GE III Animated Examples
  395.    wt: 1:   2 GE II Comparison
  396.    wt: 1:   1 GE Substitution four examples
  397.    wt: 1:   6 Algebraic Solution Example
  398.    wt: 1:   5 Algebraic Solutions Introduction
  399.    wt: 1:   4 Four Examples Fractional Coefficients
  400.    wt: 1:   2 Three Examples
  401.    wt: 1:   1 Proper Equal Sign Usage
  402.    wt: 1:   Skill Development Notes
  403.    wt: 1:   10 One Example
  404.    wt: 1:   9 Three Examples
  405.    wt: 1:   8 One Example
  406.    wt: 1:   7 Two Examples
  407.    wt: 1:   6 Three Examples
  408.    wt: 1:   5 Three Examples
  409.    wt: 1:   4 Two Examples
  410.    wt: 1:   2 Three Examples
  411.    wt: 1:   Using Letters for Physical Quantities
  412.    wt: 1:   Formula Usage Show Work Format
  413.    wt: 1:   13 Naming Identifying Formulas with Words
  414.    wt: 1:   11 Volume of Sphere
  415.    wt: 1:   10 Volume of Pyramid
  416.    wt: 1:   9 Volume of Cone
  417.    wt: 1:   5 Box Volume Formula Example
  418.    wt: 1:   3 Triangle Area Formula Example
  419.    wt: 1:   3 Counting with Sets etc
  420.    wt: 1:   3 Adding Words To Arithmetic
  421.    wt: 1:   3 Properties of Square Roots with example
  422.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  423.    wt: 1:   13 GCD from given Prime Factorization
  424.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  425.    wt: 1:   2 Least Common Multiple LCM intro via list method
  426.    wt: 1:   3 Counting with Tables and Trees II
  427.    wt: 1:   3 signed coordinates for maps and planes
  428.    wt: 1:   3 Multiplying Units and Numbers
  429.    wt: 1:   13 Fraction Comparison Algebraic View
  430.    wt: 1:   A Associative Law Theorectical Note
  431.    wt: 1:   13 Subtraction with Additive Inverse
  432.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  433.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  434.    wt: 1:   26 Divisibility by 2 3 5 Example
  435.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  436.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  437.    wt: 1:   23 Remainder Arithmetic Modulo 2
  438.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  439.    wt: 1:   21 Remainder Arithmetic Modulo 3
  440.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  441.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  442.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  443.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  444.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  445.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  446.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  447.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  448.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  449.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  450.    wt: 1:   Long Division Backward
  451.    wt: 1:   Long Division forwards and backwards Example 3
  452.    wt: 1:   D Decimal Multiplication Methods Derived
  453.    wt: 1:   C Counting Areas with Powers of Ten
  454.    wt: 1:   B Powers of Ten
  455.    wt: 1:   A Elementary Basis for Multiplication Methods
  456.    wt: 1:   6 Multiplication Commutes Order Not Important
  457.    wt: 1:   5 Decimal Fraction Multiplication
  458.    wt: 1:   4 Two and Three Digit Multipliers
  459.    wt: 1:   2 One Digit Multipliers
  460.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  461.    wt: 1:   Video Power Notation in Decimal Expansion
  462.    wt: 1:   Subtraction Another Video Lesson
  463.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  464.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  465.    wt: 1:   Expression Evaluation how to show work
  466.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  467.    wt: 1:   016 Numbering Occidental Calendar Days
  468.    wt: 1:   015 School and work day counting tables
  469.    wt: 1:   014 Counting Days with Calendars
  470.    wt: 1:   012 Division of Time Intervals by Time Intervals
  471.    wt: 1:   011 Division of Time Intervals By Numbers
  472.    wt: 1:   010 Repeated Addition of Time Intervals
  473.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  474.    wt: 1:   8 Addition of Time Intervals via subtotaling
  475.    wt: 1:   7 Addition of Time Intervals
  476.    wt: 1:   6 How long is a million seconds
  477.    wt: 1:   5 Conversion Arithmetic
  478.    wt: 1:   4 Mixing and Changing Units of Time
  479.    wt: 1:   2 Time and Date Matters in School
  480.    wt: 1:   1 Intro of Kids To Time Date Skills
  481.    wt: 1:   5 Area Under Curve Exercise
  482.    wt: 1:   4 Definite Integrals Evaluation Exercises
  483.    wt: 1:   2 Indefinite Integrals Exercises
  484.    wt: 1:   1 Chain Rule in Reverse Integration Method
  485.    wt: 1:   Postscript More on Better Performance
  486.    wt: 1:   Postscript For Better Performance
  487.    wt: 1:   Appendix E. How To Study Mathematics and Why
  488.    wt: 1:   Appendix D. What to do in School and Why
  489.    wt: 1:   Appendix B. How To Learn
  490.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  491.    wt: 1:   Chapter 28 Occurrence Tables
  492.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  493.    wt: 1:   Chapter 25. Mathematical Induction Examples
  494.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  495.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  496.    wt: 1:   Chapter 21. Third Reading Guide
  497.    wt: 1:   Chapter 20. Degrees and Radians
  498.    wt: 1:   Chapter 19. Functions and Sets
  499.    wt: 1:   Chapter 18. Rules for Algebra
  500.    wt: 1:   Chapter 15. Solving Linear Equations
  501.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  502.    wt: 1:   Chapter 12. Shorthand Usage Guide
  503.    wt: 1:   Chapter 11. Why Shorthand
  504.    wt: 1:   Chapter 10 Describing and Changing Calculations
  505.    wt: 1:   Postscript What is a Variable
  506.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  507.    wt: 1:   Chapter 8 Three Skills For Algebra
  508.    wt: 1:   Solutions For Arithmetic Exercises
  509.    wt: 1:   Chapter 6 Change of Language
  510.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  511.    wt: 1:   Chapter 4 Longer Chains of Reason
  512.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  513.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  514.    wt: 1:   Foreword
  515.    wt: 1:   Annotated Links to Material Elsehwere
  516.    wt: 1:   Postscript B Mathematics Education References
  517.    wt: 1:   Chapter 12 Four Phases
  518.    wt: 1:   Chapter 11 Elementary Instruction
  519.    wt: 1:   Chapter 10 Transition
  520.    wt: 1:   Chapter 9 The Two Ends
  521.    wt: 1:   Chapter 8 Modern Instruction
  522.    wt: 1:   Chapter 7 Two Treatments of Geometry
  523.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  524.    wt: 1:   Chapter 5 Four References
  525.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  526.    wt: 1:   Chapter 2 For and Against Mathematics
  527.    wt: 1:   Chapter 1 Introduction
  528.    wt: 1:   Foreword
  529.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  530.    wt: 1:   Postscript C Consistency as a Tool for Reason
  531.    wt: 1:   Postscript B More on Story Telling and Reason
  532.    wt: 1:   Postscript A Story Telling
  533.    wt: 1:   Chapter 24 Direct and Indirect Reason
  534.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  535.    wt: 1:   Chapter 21 Occurrence Tables
  536.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  537.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  538.    wt: 1:   Chapter 18 Sense and Knowledge
  539.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  540.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  541.    wt: 1:   Chapter 15 Objective Processes
  542.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  543.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  544.    wt: 1:   Chapter 11 Accidental Patterns
  545.    wt: 1:   Chapter 10 Responsibility
  546.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  547.    wt: 1:   Chapter 8 Change of Language
  548.    wt: 1:   Chapter 7 Longer Chains of Reason
  549.    wt: 1:   Chapter 6 Chains of Reason
  550.    wt: 1:   Chapter 5 Deception
  551.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  552.    wt: 1:   Chapter 2 Skill Development
  553.    wt: 1:   Chapter 1 Introduction
  554.    wt: 1:   Three Remarks
  555.    wt: 1:   Foreword
  556.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  557.    wt: 1:   M Words to extend arithmetic
  558.    wt: 1:   L Skills with take home value
  559.    wt: 1:   C. Domino effect of being careful
  560.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  561.    wt: 1:   Helping the Blind in Logic and Mathematics
  562.    wt: 1:   Mathematics Education References
  563.    wt: 1:   Mathematics Education References
  564.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  565.    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.

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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
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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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