Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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

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

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

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

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

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

26 matches:

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

Web Page Search

180 matches:

  1.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  2.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  3.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  4.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  5.    wt: 2:   3 Counting with Sets etc
  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:   D1 Sets and Sequences GLBs and LGBs
  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:   9 combinatorics probability sets
  16.    wt: 1:   3 Euclidean Geometry Leanly
  17.    wt: 1:   05 13 OldSiteEntrancePage
  18.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  19.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  20.    wt: 1:   3 Energy Power Heat08
  21.    wt: 1:   C Energy Power03
  22.    wt: 1:   E Wire Resistance Calculation03
  23.    wt: 1:   3 Like resistors in parallel
  24.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  25.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  26.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  27.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  28.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  29.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  30.    wt: 1:   13 Addition and Addition Tables
  31.    wt: 1:   3 Preparing for Science Studies
  32.    wt: 1:   Ages 3 plus to 4 plus
  33.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  34.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  35.    wt: 1:   sign monoticity analysis example 3
  36.    wt: 1:   23 Inverse Functions
  37.    wt: 1:   13 From one to one to many to one
  38.    wt: 1:   3 Formula or function graphing exercise
  39.    wt: 1:   3 quadratics factoring by inspection
  40.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  41.    wt: 1:   3 Polynomials Multiplication Addition
  42.    wt: 1:   13 cosecant function Definition Graph and Inverse
  43.    wt: 1:   3 Left Inverse of cosine arccos definition
  44.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  45.    wt: 1:   13 Velocity Vectors in Physics
  46.    wt: 1:   3 Navigation with Arrows or Vectors
  47.    wt: 1:   3 graphing y=f(x c) plus K
  48.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  49.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  50.    wt: 1:   32 seven rows of pascals triangle
  51.    wt: 1:   31 basic secant cosecant cotangent trig identities
  52.    wt: 1:   30 unit circle calculation of six trigonometric functions
  53.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  54.    wt: 1:   13 Graph of tangent function many periods
  55.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  56.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  57.    wt: 1:   13 Trig Formulas for dot and cross Products
  58.    wt: 1:   3 Addition Properties
  59.    wt: 1:   3 Trigonometric Ratios sine and cosine
  60.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  61.    wt: 1:   3 Similarity by Design with coordinates
  62.    wt: 1:   3 Slope product for perpendicular lines
  63.    wt: 1:   13 Pythagorean spatial distance formulas
  64.    wt: 1:   3 Rectangular Coordinates Review
  65.    wt: 1:   13 Angle Side Angle Failure
  66.    wt: 1:   3 Isometry of Triangles Congruence
  67.    wt: 1:   3 Lengths and Areas on Maps and Plans
  68.    wt: 1:   23 Distributive Law Two Derivations
  69.    wt: 1:   13 Arrows and Vectors in a Plane
  70.    wt: 1:   3 Location of Point in Decimal Multiplication
  71.    wt: 1:   3 Multiplicative Counting Skills Principles
  72.    wt: 1:   3 Inequalities Algebraically
  73.    wt: 1:   3 Proportionality Examples
  74.    wt: 1:   3 Linear Equation Literal Solution More
  75.    wt: 1:   3 Product Axioms Two Forms
  76.    wt: 1:   3 More and Less Than with Unlike Signs
  77.    wt: 1:   13 Real Number Subtraction
  78.    wt: 1:   3 Fractions
  79.    wt: 1:   3 Geometric Formulas and Function Notation
  80.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  81.    wt: 1:   3 GE III Equation Addition and Multiplication
  82.    wt: 1:   3 Solving triangular system example
  83.    wt: 1:   3 Four Examples
  84.    wt: 1:   3 Two Examples
  85.    wt: 1:   13 Naming Identifying Formulas with Words
  86.    wt: 1:   11 Volume of Sphere
  87.    wt: 1:   10 Volume of Pyramid
  88.    wt: 1:   9 Volume of Cone
  89.    wt: 1:   5 Box Volume Formula Example
  90.    wt: 1:   3 Triangle Area Formula Example
  91.    wt: 1:   9 Sets in Probability and Statistics
  92.    wt: 1:   8 Sets of Numbers
  93.    wt: 1:   1 Finite Sets
  94.    wt: 1:   3 Adding Words To Arithmetic
  95.    wt: 1:   3 Comparison of Negative Numbers
  96.    wt: 1:   3 Properties of Square Roots with example
  97.    wt: 1:   13 GCD from given Prime Factorization
  98.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  99.    wt: 1:   3 Counting with Tables and Trees II
  100.    wt: 1:   3 signed coordinates for maps and planes
  101.    wt: 1:   3 Multiplying Units and Numbers
  102.    wt: 1:   13 Fraction Comparison Algebraic View
  103.    wt: 1:   3 Unit fraction of a fraction
  104.    wt: 1:   13 Subtraction with Additive Inverse
  105.    wt: 1:   3 Adding Movements with same direction
  106.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  107.    wt: 1:   26 Divisibility by 2 3 5 Example
  108.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  109.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  110.    wt: 1:   23 Remainder Arithmetic Modulo 2
  111.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  112.    wt: 1:   21 Remainder Arithmetic Modulo 3
  113.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  114.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  115.    wt: 1:   13 video Factors of 24 using prime
  116.    wt: 1:   10 video Prime Factorization upto 23 squared
  117.    wt: 1:   3 video Primes and Composites from 9 times table
  118.    wt: 1:   Long Division forwards and backwards Example 3
  119.    wt: 1:   3 Division Single Digit Divisor Example
  120.    wt: 1:   3 More One Digit Multipliers
  121.    wt: 1:   1 Why 3 times 5 gives 15
  122.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  123.    wt: 1:   3. How to add with decimals A sans conversions
  124.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  125.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  126.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  127.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  128.    wt: 1:   013 Travel Time Tables
  129.    wt: 1:   3 Units and Lengths of Time
  130.    wt: 1:   Example 2 volume of a cone
  131.    wt: 1:   Example 1 volume of a pyramid
  132.    wt: 1:   Volume of Solid by Cross Sections Lesson
  133.    wt: 1:   Example 3
  134.    wt: 1:   3 Two Chain Rule Method Exercises
  135.    wt: 1:   3 Second derivative test
  136.    wt: 1:   38 Formulas and derivatives for powers and roots
  137.    wt: 1:   36 Cube root derivative animated
  138.    wt: 1:   34 Derivative of exponential function
  139.    wt: 1:   31 Derivatives of inverse functions
  140.    wt: 1:   30Chain Rule A Proof
  141.    wt: 1:   23 Chain Rule in general
  142.    wt: 1:   15 sine and cosine derivatives 3rd step
  143.    wt: 1:   13 sine and cosine derivatives 1st step
  144.    wt: 1:   3 Motivation for Limit Definition Take 2
  145.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  146.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  147.    wt: 1:   3 Decimal insights for limits continuity convergence
  148.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  149.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  150.    wt: 1:   G.3 Constant Difference Theorem Proof
  151.    wt: 1:   F.3 Intermediate Value Theorem
  152.    wt: 1:   D2 Limits of Monotone Sequences
  153.    wt: 1:   B3 Bolzano Weierstrass Theorem
  154.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  155.    wt: 1:   Chapter 23 Links To Trigonometry
  156.    wt: 1:   Chapter 13. Acceleration
  157.    wt: 1:   Chapter 9 About First Courses in Calculus
  158.    wt: 1:   Chapter 3. Slope Sign Analysis
  159.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  160.    wt: 1:   Chapter 31 Direct and Indirect Reason
  161.    wt: 1:   Chapter 30 Truth Tables
  162.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  163.    wt: 1:   Chapter 23. Notation For Sums
  164.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  165.    wt: 1:   Chapter 19. Functions and Sets
  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:   Chapter 2 Why Sets
  176.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  177.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  178.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  179.    wt: 1:   More Algebra and Slope based Calculus Preview
  180.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

541 matches:

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

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.