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

27 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:   A Origins of Counting and Figuring Methods/
  15.    wt: 1:   Step 4 Gaussian Elimination/
  16.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  17.    wt: 1:   Step 1 Stick diagram and fractions/
  18.    wt: 1:   3 Solving Linear Equations/
  19.    wt: 1:   C Decimal Multiplication Methods/
  20.    wt: 1:   A Decimal Counting and Adding Methods/
  21.    wt: 1:   5 Lessons on Integration/
  22.    wt: 1:   70 Calculus Starter Lessons/
  23.    wt: 1:   Volume 2 Three Skills For Algebra/
  24.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  25.    wt: 1:   Volume 1A Pattern Based Reason/
  26.    wt: 1:   Volume 1 Elements of Reason/
  27.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

198 matches:

  1.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  2.    wt: 3:   3 Multiplicative Counting Skills Principles
  3.    wt: 3:   B1 Pigeon Hole Principles from combinatorics
  4.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  5.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  6.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  7.    wt: 2:   3 Counting with Sets etc
  8.    wt: 2:   3 Counting with Tables and Trees II
  9.    wt: 2:   1 Counting and Counting Methods I
  10.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  11.    wt: 2:   A Related Material in Volume 3
  12.    wt: 2:   A Related lessons in Volume 3
  13.    wt: 2:   33 Chain Rule Real Player video examples
  14.    wt: 2:   Fall 1983 Calculus Appetizer
  15.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  16.    wt: 1:   Skills Chapter 5 Calculus
  17.    wt: 1:   Skills Chapter 3 Algebra
  18.    wt: 1:   3 Euclidean Geometry Leanly
  19.    wt: 1:   05 13 OldSiteEntrancePage
  20.    wt: 1:   fairness and inductive principles for instruction
  21.    wt: 1:   chapitre 07 01 principle D induction mathematique
  22.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  23.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  24.    wt: 1:   3 Energy Power Heat08
  25.    wt: 1:   C Energy Power03
  26.    wt: 1:   E Wire Resistance Calculation03
  27.    wt: 1:   3 Like resistors in parallel
  28.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  29.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  30.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  31.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  32.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  33.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  34.    wt: 1:   15 Counting For Parents
  35.    wt: 1:   13 Addition and Addition Tables
  36.    wt: 1:   3 Preparing for Science Studies
  37.    wt: 1:   Ages 3 plus to 4 plus
  38.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  39.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  40.    wt: 1:   sign monoticity analysis example 3
  41.    wt: 1:   23 Inverse Functions
  42.    wt: 1:   13 From one to one to many to one
  43.    wt: 1:   3 Formula or function graphing exercise
  44.    wt: 1:   3 quadratics factoring by inspection
  45.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  46.    wt: 1:   3 Polynomials Multiplication Addition
  47.    wt: 1:   13 cosecant function Definition Graph and Inverse
  48.    wt: 1:   3 Left Inverse of cosine arccos definition
  49.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  50.    wt: 1:   13 Velocity Vectors in Physics
  51.    wt: 1:   3 Navigation with Arrows or Vectors
  52.    wt: 1:   3 graphing y=f(x c) plus K
  53.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  54.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  55.    wt: 1:   32 seven rows of pascals triangle
  56.    wt: 1:   31 basic secant cosecant cotangent trig identities
  57.    wt: 1:   30 unit circle calculation of six trigonometric functions
  58.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  59.    wt: 1:   13 Graph of tangent function many periods
  60.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  61.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  62.    wt: 1:   13 Trig Formulas for dot and cross Products
  63.    wt: 1:   3 Addition Properties
  64.    wt: 1:   3 Trigonometric Ratios sine and cosine
  65.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  66.    wt: 1:   3 Similarity by Design with coordinates
  67.    wt: 1:   3 Slope product for perpendicular lines
  68.    wt: 1:   13 Pythagorean spatial distance formulas
  69.    wt: 1:   3 Rectangular Coordinates Review
  70.    wt: 1:   13 Angle Side Angle Failure
  71.    wt: 1:   3 Isometry of Triangles Congruence
  72.    wt: 1:   3 Lengths and Areas on Maps and Plans
  73.    wt: 1:   23 Distributive Law Two Derivations
  74.    wt: 1:   13 Arrows and Vectors in a Plane
  75.    wt: 1:   3 Location of Point in Decimal Multiplication
  76.    wt: 1:   2 Counting Digits in Decimal Multiplication
  77.    wt: 1:   5 Distributive Law for Whole Numbers
  78.    wt: 1:   4 Commutative Law Groups Counting Form
  79.    wt: 1:   2 Combing Counts Addition Skills and Principles
  80.    wt: 1:   1 The Counting Origins of Numbers
  81.    wt: 1:   3 Inequalities Algebraically
  82.    wt: 1:   3 Proportionality Examples
  83.    wt: 1:   3 Linear Equation Literal Solution More
  84.    wt: 1:   3 Product Axioms Two Forms
  85.    wt: 1:   3 More and Less Than with Unlike Signs
  86.    wt: 1:   13 Real Number Subtraction
  87.    wt: 1:   3 Fractions
  88.    wt: 1:   1 Whole and Natural Numbers
  89.    wt: 1:   3 Geometric Formulas and Function Notation
  90.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  91.    wt: 1:   3 GE III Equation Addition and Multiplication
  92.    wt: 1:   3 Solving triangular system example
  93.    wt: 1:   3 Four Examples
  94.    wt: 1:   3 Two Examples
  95.    wt: 1:   13 Naming Identifying Formulas with Words
  96.    wt: 1:   11 Volume of Sphere
  97.    wt: 1:   10 Volume of Pyramid
  98.    wt: 1:   9 Volume of Cone
  99.    wt: 1:   5 Box Volume Formula Example
  100.    wt: 1:   3 Triangle Area Formula Example
  101.    wt: 1:   3 Adding Words To Arithmetic
  102.    wt: 1:   3 Comparison of Negative Numbers
  103.    wt: 1:   3 Properties of Square Roots with example
  104.    wt: 1:   13 GCD from given Prime Factorization
  105.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  106.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  107.    wt: 1:   4 Counting with Trees Product Rule Take I
  108.    wt: 1:   2 Counting with Tables and Trees I
  109.    wt: 1:   3 signed coordinates for maps and planes
  110.    wt: 1:   3 Multiplying Units and Numbers
  111.    wt: 1:   21 Reciprocals for Fractions and Wholes
  112.    wt: 1:   13 Fraction Comparison Algebraic View
  113.    wt: 1:   3 Unit fraction of a fraction
  114.    wt: 1:   13 Subtraction with Additive Inverse
  115.    wt: 1:   3 Adding Movements with same direction
  116.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  117.    wt: 1:   26 Divisibility by 2 3 5 Example
  118.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  119.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  120.    wt: 1:   23 Remainder Arithmetic Modulo 2
  121.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  122.    wt: 1:   21 Remainder Arithmetic Modulo 3
  123.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  124.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  125.    wt: 1:   13 video Factors of 24 using prime
  126.    wt: 1:   10 video Prime Factorization upto 23 squared
  127.    wt: 1:   3 video Primes and Composites from 9 times table
  128.    wt: 1:   Long Division forwards and backwards Example 3
  129.    wt: 1:   3 Division Single Digit Divisor Example
  130.    wt: 1:   C Counting Areas with Powers of Ten
  131.    wt: 1:   3 More One Digit Multipliers
  132.    wt: 1:   1 Why 3 times 5 gives 15
  133.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  134.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  135.    wt: 1:   6. Counting and adding units and mixed units
  136.    wt: 1:   3. How to add with decimals A sans conversions
  137.    wt: 1:   2 Decimal Counting Practices
  138.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  139.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  140.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  141.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  142.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  143.    wt: 1:   Exact Arithmetic Wholes and Fractions
  144.    wt: 1:   015 School and work day counting tables
  145.    wt: 1:   014 Counting Days with Calendars
  146.    wt: 1:   013 Travel Time Tables
  147.    wt: 1:   3 Units and Lengths of Time
  148.    wt: 1:   Example 2 volume of a cone
  149.    wt: 1:   Example 1 volume of a pyramid
  150.    wt: 1:   Volume of Solid by Cross Sections Lesson
  151.    wt: 1:   Example 3
  152.    wt: 1:   3 Two Chain Rule Method Exercises
  153.    wt: 1:   3 Second derivative test
  154.    wt: 1:   38 Formulas and derivatives for powers and roots
  155.    wt: 1:   36 Cube root derivative animated
  156.    wt: 1:   34 Derivative of exponential function
  157.    wt: 1:   31 Derivatives of inverse functions
  158.    wt: 1:   30Chain Rule A Proof
  159.    wt: 1:   23 Chain Rule in general
  160.    wt: 1:   15 sine and cosine derivatives 3rd step
  161.    wt: 1:   13 sine and cosine derivatives 1st step
  162.    wt: 1:   3 Motivation for Limit Definition Take 2
  163.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  164.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  165.    wt: 1:   3 Decimal insights for limits continuity convergence
  166.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  167.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  168.    wt: 1:   G.3 Constant Difference Theorem Proof
  169.    wt: 1:   F.3 Intermediate Value Theorem
  170.    wt: 1:   B3 Bolzano Weierstrass Theorem
  171.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  172.    wt: 1:   Chapter 23 Links To Trigonometry
  173.    wt: 1:   Chapter 13. Acceleration
  174.    wt: 1:   Chapter 9 About First Courses in Calculus
  175.    wt: 1:   Chapter 3. Slope Sign Analysis
  176.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  177.    wt: 1:   Chapter 31 Direct and Indirect Reason
  178.    wt: 1:   Chapter 30 Truth Tables
  179.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  180.    wt: 1:   Chapter 23. Notation For Sums
  181.    wt: 1:   Chapter 13. Second Reading Guide
  182.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  183.    wt: 1:   Chapter 3 Chains of Reason
  184.    wt: 1:   Chapter 3 Algebra Difficulties
  185.    wt: 1:   Chapter 23 Truth Tables
  186.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  187.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  188.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  189.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  190.    wt: 1:   Chapter 3 Algebra Starter Lessons
  191.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  192.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  193.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  194.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  195.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  196.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  197.    wt: 1:   More Algebra and Slope based Calculus Preview
  198.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

567 matches:

  1.    wt: 9:   B1 Pigeon Hole Principles from combinatorics
  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:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  9.    wt: 6:   Postscript One Sided and Intermediate Value Theorems
  10.    wt: 6:   G.6 Bounded Derivatives implies Lipshitz Continuity
  11.    wt: 6:   G.5 Motions With Bounded Velocities
  12.    wt: 6:   G.4 Lipschitz Continuity implies EquiContinuity
  13.    wt: 6:   G.2 Differentiable Functions Mean Value Theorem
  14.    wt: 6:   G.1 Differentiable Functions Rolles Theorem
  15.    wt: 6:   F.5b Extreme Value Theorem
  16.    wt: 6:   F.4 Finite Covering Theorem
  17.    wt: 6:   F.2 Closed Range Theorem
  18.    wt: 6:   F.1 What Functions are Continuous
  19.    wt: 6:   E2 Algebraic Properties of Limits
  20.    wt: 6:   E1 Error Control Inequalities
  21.    wt: 6:   D2 Limits of Monotone Sequences
  22.    wt: 6:   D1 Sets and Sequences GLBs and LGBs
  23.    wt: 6:   C Triangle Inequalities
  24.    wt: 6:   PostScript For and Against Decimal Perspectives
  25.    wt: 6:   A1. Introduction
  26.    wt: 5:   3 Multiplicative Counting Skills Principles
  27.    wt: 5:   3 Solving triangular system example
  28.    wt: 5:   Chapter 23 Links To Trigonometry
  29.    wt: 5:   Chapter 13. Acceleration
  30.    wt: 5:   Chapter 3. Slope Sign Analysis
  31.    wt: 5:   Fall 1983 Calculus Appetizer
  32.    wt: 4:   13 Velocity Vectors in Physics
  33.    wt: 4:   3 Navigation with Arrows or Vectors
  34.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  35.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  36.    wt: 4:   13 Pythagorean spatial distance formulas
  37.    wt: 4:   3 Rectangular Coordinates Review
  38.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  39.    wt: 4:   13 video Factors of 24 using prime
  40.    wt: 4:   3 video Primes and Composites from 9 times table
  41.    wt: 4:   Example 3
  42.    wt: 4:   A Related lessons in Volume 3
  43.    wt: 4:   33 Chain Rule Real Player video examples
  44.    wt: 4:   31 Derivatives of inverse functions
  45.    wt: 4:   Chapter 9 About First Courses in Calculus
  46.    wt: 3:   Skills Chapter 3 Algebra
  47.    wt: 3:   3 quadratics factoring by inspection
  48.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  49.    wt: 3:   3 GE III Equation Addition and Multiplication
  50.    wt: 3:   4 Solving a triangular system exercise
  51.    wt: 3:   2 Essentially one exercises three with solution
  52.    wt: 3:   1 Essentially One Unknown
  53.    wt: 3:   3 Four Examples
  54.    wt: 3:   3 Two Examples
  55.    wt: 3:   10 video Prime Factorization upto 23 squared
  56.    wt: 3:   3 More One Digit Multipliers
  57.    wt: 3:   3. How to add with decimals A sans conversions
  58.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  59.    wt: 3:   Example 2 volume of a cone
  60.    wt: 3:   Example 1 volume of a pyramid
  61.    wt: 3:   Volume of Solid by Cross Sections Lesson
  62.    wt: 3:   Example 4 with x function of y
  63.    wt: 3:   Example 2
  64.    wt: 3:   Example 1
  65.    wt: 3:   A Related Material in Volume 3
  66.    wt: 3:   3 Second derivative test
  67.    wt: 3:   2 Second derivative test prequel
  68.    wt: 3:   38 Formulas and derivatives for powers and roots
  69.    wt: 3:   36 Cube root derivative animated
  70.    wt: 3:   34 Derivative of exponential function
  71.    wt: 3:   30Chain Rule A Proof
  72.    wt: 3:   23 Chain Rule in general
  73.    wt: 3:   22 Chain Rule for polynomials
  74.    wt: 3:   15 sine and cosine derivatives 3rd step
  75.    wt: 3:   13 sine and cosine derivatives 1st step
  76.    wt: 3:   12 Quotient rule examples
  77.    wt: 3:   5 Product Rule
  78.    wt: 3:   3 Motivation for Limit Definition Take 2
  79.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  80.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  81.    wt: 3:   4 Numerical properties
  82.    wt: 3:   3 Decimal insights for limits continuity convergence
  83.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  84.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  85.    wt: 3:   Chapter 22 Complex Numbers
  86.    wt: 3:   Chapter 21 Arrow Addition
  87.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  88.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  89.    wt: 3:   Chapter 18. Slopes Areas Integration
  90.    wt: 3:   Chapter 17. Area Approximation
  91.    wt: 3:   Chapter 16. Velocity Approximation
  92.    wt: 3:   Chapter 15. Slope Approximation
  93.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  94.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  95.    wt: 3:   Chapter 12. Units and Slopes
  96.    wt: 3:   Chapter 11. Graphing Slope versus Position
  97.    wt: 3:   Chapter 10 Slopes and Units
  98.    wt: 3:   Chapter 8. Slope Interpretation
  99.    wt: 3:   Chapter 7 Slopes and Velocity
  100.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  101.    wt: 3:   Chapter 5. Slope Sign Tests
  102.    wt: 3:   Chapter 4. More Slope Sign Analysis
  103.    wt: 3:   Chapter 2. Slopes and Ski Trails
  104.    wt: 3:   Chapter 1.Introduction
  105.    wt: 3:   Foreword
  106.    wt: 3:   Chapter 31 Direct and Indirect Reason
  107.    wt: 3:   Chapter 30 Truth Tables
  108.    wt: 3:   Chapter 23. Notation For Sums
  109.    wt: 3:   Chapter 13. Second Reading Guide
  110.    wt: 3:   Chapter 3 Chains of Reason
  111.    wt: 3:   Chapter 3 Algebra Difficulties
  112.    wt: 3:   Chapter 23 Truth Tables
  113.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  114.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  115.    wt: 3:   More Algebra and Slope based Calculus Preview
  116.    wt: 3:   Systematic Algebra Skill Development Missing Links
  117.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  118.    wt: 2:   Skills Chapter 5 Calculus
  119.    wt: 2:   Ramblings Extrinsic numbers theory
  120.    wt: 2:   Ramblings Introduction Algebra Essay
  121.    wt: 2:   3 Euclidean Geometry Leanly
  122.    wt: 2:   Education Reform Inconsistencies
  123.    wt: 2:   chapitre 07 01 principle D induction mathematique
  124.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  125.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  126.    wt: 2:   C Energy Power03
  127.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  128.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  129.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  130.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  131.    wt: 2:   13 Addition and Addition Tables
  132.    wt: 2:   3 Preparing for Science Studies
  133.    wt: 2:   Ages 3 plus to 4 plus
  134.    wt: 2:   sign monoticity analysis example 3
  135.    wt: 2:   23 Inverse Functions
  136.    wt: 2:   13 From one to one to many to one
  137.    wt: 2:   3 Formula or function graphing exercise
  138.    wt: 2:   A Quadratics Summary
  139.    wt: 2:   10 quadratic exercises
  140.    wt: 2:   9 quadratics physical and further context
  141.    wt: 2:   8 quadratics backward use of various formulas
  142.    wt: 2:   7 quadratic formulla derivation
  143.    wt: 2:   6 quadratics numerical approach
  144.    wt: 2:   5 quadratics completing the square
  145.    wt: 2:   4 quadratics difference of two squares
  146.    wt: 2:   2 quadratics graphing in general
  147.    wt: 2:   1 quadratics graphing exercises
  148.    wt: 2:   Quadratics in 10 steps
  149.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  150.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  151.    wt: 2:   A Global Time and Navigation
  152.    wt: 2:   15 Dot and Cross Product
  153.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  154.    wt: 2:   12 From Applied To Pure Mathematics
  155.    wt: 2:   11 Component Method
  156.    wt: 2:   10 Parallelogram Addition Method
  157.    wt: 2:   9 Head to Tail Coordinate View
  158.    wt: 2:   8 Parallel Vectors
  159.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  160.    wt: 2:   6 Vectors with Coordinates
  161.    wt: 2:   5 Head To Tail Arrow Addition
  162.    wt: 2:   4 Resultant of a Sum of Movements
  163.    wt: 2:   2 Signed Coordinates
  164.    wt: 2:   1 Unsigned Coordinates
  165.    wt: 2:   Vector and Complex Number Applet
  166.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  167.    wt: 2:   12 Straight Lines Graphing mx plus b
  168.    wt: 2:   32 seven rows of pascals triangle
  169.    wt: 2:   31 basic secant cosecant cotangent trig identities
  170.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  171.    wt: 2:   13 Trig Formulas for dot and cross Products
  172.    wt: 2:   3 Addition Properties
  173.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  174.    wt: 2:   3 Similarity by Design with coordinates
  175.    wt: 2:   3 Slope product for perpendicular lines
  176.    wt: 2:   12 Spatial Coordinates
  177.    wt: 2:   11 Triangle Inequality
  178.    wt: 2:   10 Pythagorean plane distance formula
  179.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  180.    wt: 2:   8 Distance Between Points on a Line
  181.    wt: 2:   7 Complex Numbers Appetizer
  182.    wt: 2:   6 Polar Multiplication and Rotation
  183.    wt: 2:   5 Cartesian Addition and Translation
  184.    wt: 2:   4 Polar Coordinates to and from
  185.    wt: 2:   2 Cartesian Coordinates with signs
  186.    wt: 2:   1 Cartesian Coordinates sans signs
  187.    wt: 2:   13 Angle Side Angle Failure
  188.    wt: 2:   3 Isometry of Triangles Congruence
  189.    wt: 2:   23 Distributive Law Two Derivations
  190.    wt: 2:   5 Distributive Law for Whole Numbers
  191.    wt: 2:   4 Commutative Law Groups Counting Form
  192.    wt: 2:   2 Combing Counts Addition Skills and Principles
  193.    wt: 2:   1 The Counting Origins of Numbers
  194.    wt: 2:   3 Proportionality Examples
  195.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  196.    wt: 2:   3 Counting with Sets etc
  197.    wt: 2:   3 Comparison of Negative Numbers
  198.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  199.    wt: 2:   3 Counting with Tables and Trees II
  200.    wt: 2:   1 Counting and Counting Methods I
  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:   C Counting Areas with Powers of Ten
  224.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  225.    wt: 2:   1 Why 3 times 5 gives 15
  226.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  227.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  228.    wt: 2:   6. Counting and adding units and mixed units
  229.    wt: 2:   2 Decimal Counting Practices
  230.    wt: 2:   Example 1. Area Between x and x squared
  231.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  232.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  233.    wt: 2:   Area Between Curves Lesson Take 2
  234.    wt: 2:   Area Between Curves Lesson Take 1
  235.    wt: 2:   Summary
  236.    wt: 2:   3 Two Chain Rule Method Exercises
  237.    wt: 2:   4 Second derivative test exercise example
  238.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  239.    wt: 2:   A Chain Rule Real Player video examples
  240.    wt: 2:   29 Chain Rule Optional Reading
  241.    wt: 2:   28 Chain Rule Preparation for a Proof
  242.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  243.    wt: 2:   26 Chain Rule Recognising outer inner functions
  244.    wt: 2:   25 Chain Rule Animated Examples Continued
  245.    wt: 2:   24 Chain Rule Animated Examples
  246.    wt: 2:   21 Chain Rule for powers
  247.    wt: 2:   20 Chain Rule for Pulley Systems
  248.    wt: 2:   19 Chain Rule for linear functions
  249.    wt: 2:   18 Chain Rule Introduction
  250.    wt: 2:   17 Derivatives of quotients of sine and cosine
  251.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  252.    wt: 2:   14 sine and cosine derivatives 2nd step
  253.    wt: 2:   11 Quotient rule
  254.    wt: 2:   10 Power rule for negative integers
  255.    wt: 2:   9 Reciprocal rule
  256.    wt: 2:   8 Differentiation of polynomials
  257.    wt: 2:   7 Animated Differentiation Examples
  258.    wt: 2:   6 Power rule from product rule
  259.    wt: 2:   4 Sum Rule
  260.    wt: 2:   2 Motivation for Limit Definition Take 1
  261.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  262.    wt: 2:   11 Limits at infinity Three Examples
  263.    wt: 2:   10 Three one sided limits with infinite values
  264.    wt: 2:   9 Limits Continuity and Composition
  265.    wt: 2:   8 Four Animated Examples
  266.    wt: 2:   7 Evaluation by immediate or delayed substitution
  267.    wt: 2:   6 Continuity at a point
  268.    wt: 2:   5 Jumps and absence of unlimited error control
  269.    wt: 2:   2 Algebraic codification
  270.    wt: 2:   1 Numerical introduction
  271.    wt: 2:   Appendix C. How to Read
  272.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  273.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  274.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  275.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  276.    wt: 2:   Postscript A Three Remarks
  277.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  278.    wt: 2:   Chapter 3 Algebra Starter Lessons
  279.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  280.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  281.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  282.    wt: 2:   Implementation Notes
  283.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  284.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  285.    wt: 1:   Appendix 2 primary school Arithmetic 01
  286.    wt: 1:   Appendix 1 primary and preschool mathematic
  287.    wt: 1:   K LAMP Musings Science Education
  288.    wt: 1:   J LAMP Introduction Extrinsic Origins
  289.    wt: 1:   I LAMP Introduction Study Habits
  290.    wt: 1:   H LAMP Introduction Instructional Concepts
  291.    wt: 1:   G LAMP Introduction Problem Solving Skills
  292.    wt: 1:   F LAMP Introduction Prerequisites
  293.    wt: 1:   E LAMP Introduction Modern Mathematics
  294.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  295.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  296.    wt: 1:   A Introduction Objectives
  297.    wt: 1:   Skills Chapter 4 Logic
  298.    wt: 1:   Skills Chapter 2 Geometry
  299.    wt: 1:   Skills Chapter 1 Arithmetic
  300.    wt: 1:   Skills Chapter 0 Introduction
  301.    wt: 1:   permissions for teachers
  302.    wt: 1:   Math Ed if it must be short make it lean effective
  303.    wt: 1:   modern education
  304.    wt: 1:   learning takes time
  305.    wt: 1:   grouping students according to ability
  306.    wt: 1:   what should be learnt and When
  307.    wt: 1:   mathematics in context
  308.    wt: 1:   Postscript 2007 01 10
  309.    wt: 1:   five decades make a difference
  310.    wt: 1:   teaching tutoring algebraic reason
  311.    wt: 1:   the trouble with algebra
  312.    wt: 1:   05 13 OldSiteEntrancePage
  313.    wt: 1:   Theory of Knowledge
  314.    wt: 1:   Different Kinds of Reasoning in maths
  315.    wt: 1:   fairness and inductive principles for instruction
  316.    wt: 1:   chapitre 12 00 les iles et division
  317.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  318.    wt: 1:   chapitre 06 00 Chaines de la raison
  319.    wt: 1:   chapitre 05 00 Deception
  320.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  321.    wt: 1:   chapitre 04 09 Regles accidentelles
  322.    wt: 1:   chapitre 04 08 Limitations et benefices
  323.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  324.    wt: 1:   chapitre 04 06 engagements
  325.    wt: 1:   chapitre 04 05 Implication versus suggestion
  326.    wt: 1:   chapitre 04 04 Parlons de la logique
  327.    wt: 1:   chapitre 04 02 Deuxieme enigme
  328.    wt: 1:   chapitre 04 01 Premiere enigme
  329.    wt: 1:   chapitre 04 00 Les regles d implication
  330.    wt: 1:   chapitre 02 00 La Communication des idees
  331.    wt: 1:   chapitre 01 00 Introduction
  332.    wt: 1:   liens
  333.    wt: 1:   3 Energy Power Heat08
  334.    wt: 1:   E Wire Resistance Calculation03
  335.    wt: 1:   A Wire Resistance Qualitative01
  336.    wt: 1:   3 Like resistors in parallel
  337.    wt: 1:   B Electromotive force conventional current01
  338.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  339.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  340.    wt: 1:   15 Counting For Parents
  341.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  342.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  343.    wt: 1:   3 Polynomials Multiplication Addition
  344.    wt: 1:   13 cosecant function Definition Graph and Inverse
  345.    wt: 1:   3 Left Inverse of cosine arccos definition
  346.    wt: 1:   3 graphing y=f(x c) plus K
  347.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  348.    wt: 1:   Straight Lines Intersection of
  349.    wt: 1:   14 Straight Lines Equations General Case
  350.    wt: 1:   11 Straight Lines Graphing y=mx
  351.    wt: 1:   10 Straight Lines through Origin Equations More
  352.    wt: 1:   9 Straight Lines through Origin Equations
  353.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  354.    wt: 1:   30 unit circle calculation of six trigonometric functions
  355.    wt: 1:   24 tangent Angle Difference Formula
  356.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  357.    wt: 1:   15 sine cosine Complementary Angle Relations
  358.    wt: 1:   13 Graph of tangent function many periods
  359.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  360.    wt: 1:   3 Trigonometric Ratios sine and cosine
  361.    wt: 1:   6 Geometric Diagrams in Class
  362.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  363.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  364.    wt: 1:   3 Lengths and Areas on Maps and Plans
  365.    wt: 1:   26 More Less Greater Than Comparison
  366.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  367.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  368.    wt: 1:   22 Multiplication of Signed Numbers
  369.    wt: 1:   13 Arrows and Vectors in a Plane
  370.    wt: 1:   3 Location of Point in Decimal Multiplication
  371.    wt: 1:   2 Counting Digits in Decimal Multiplication
  372.    wt: 1:   E Long Division Methods more
  373.    wt: 1:   D Long Division Methods
  374.    wt: 1:   C Three Decimal Subtraction Methods
  375.    wt: 1:   B Decimal Comparison and Subtraction
  376.    wt: 1:   A Decimal Addition Columm Methods
  377.    wt: 1:   8 Column Multiplication Methods in General
  378.    wt: 1:   7 Decimals Multiplication Methods Examples
  379.    wt: 1:   6 Column Methods for Decimal Multiplication
  380.    wt: 1:   3 Inequalities Algebraically
  381.    wt: 1:   3 Linear Equation Literal Solution More
  382.    wt: 1:   3 Product Axioms Two Forms
  383.    wt: 1:   3 More and Less Than with Unlike Signs
  384.    wt: 1:   13 Real Number Subtraction
  385.    wt: 1:   3 Fractions
  386.    wt: 1:   1 Whole and Natural Numbers
  387.    wt: 1:   3 Geometric Formulas and Function Notation
  388.    wt: 1:   More Exercises
  389.    wt: 1:   Simple Exercises
  390.    wt: 1:   4 GE III Animated Examples
  391.    wt: 1:   2 GE II Comparison
  392.    wt: 1:   1 GE Substitution four examples
  393.    wt: 1:   6 Algebraic Solution Example
  394.    wt: 1:   5 Algebraic Solutions Introduction
  395.    wt: 1:   4 Four Examples Fractional Coefficients
  396.    wt: 1:   2 Three Examples
  397.    wt: 1:   1 Proper Equal Sign Usage
  398.    wt: 1:   Skill Development Notes
  399.    wt: 1:   10 One Example
  400.    wt: 1:   9 Three Examples
  401.    wt: 1:   8 One Example
  402.    wt: 1:   7 Two Examples
  403.    wt: 1:   6 Three Examples
  404.    wt: 1:   5 Three Examples
  405.    wt: 1:   4 Two Examples
  406.    wt: 1:   2 Three Examples
  407.    wt: 1:   Using Letters for Physical Quantities
  408.    wt: 1:   Formula Usage Show Work Format
  409.    wt: 1:   13 Naming Identifying Formulas with Words
  410.    wt: 1:   11 Volume of Sphere
  411.    wt: 1:   10 Volume of Pyramid
  412.    wt: 1:   9 Volume of Cone
  413.    wt: 1:   5 Box Volume Formula Example
  414.    wt: 1:   3 Triangle Area Formula Example
  415.    wt: 1:   3 Adding Words To Arithmetic
  416.    wt: 1:   3 Properties of Square Roots with example
  417.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  418.    wt: 1:   13 GCD from given Prime Factorization
  419.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  420.    wt: 1:   2 Least Common Multiple LCM intro via list method
  421.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  422.    wt: 1:   4 Counting with Trees Product Rule Take I
  423.    wt: 1:   2 Counting with Tables and Trees I
  424.    wt: 1:   3 signed coordinates for maps and planes
  425.    wt: 1:   3 Multiplying Units and Numbers
  426.    wt: 1:   21 Reciprocals for Fractions and Wholes
  427.    wt: 1:   13 Fraction Comparison Algebraic View
  428.    wt: 1:   A Associative Law Theorectical Note
  429.    wt: 1:   13 Subtraction with Additive Inverse
  430.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  431.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  432.    wt: 1:   26 Divisibility by 2 3 5 Example
  433.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  434.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  435.    wt: 1:   23 Remainder Arithmetic Modulo 2
  436.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  437.    wt: 1:   21 Remainder Arithmetic Modulo 3
  438.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  439.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  440.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  441.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  442.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  443.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  444.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  445.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  446.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  447.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  448.    wt: 1:   Long Division Backward
  449.    wt: 1:   Long Division forwards and backwards Example 3
  450.    wt: 1:   D Decimal Multiplication Methods Derived
  451.    wt: 1:   B Powers of Ten
  452.    wt: 1:   A Elementary Basis for Multiplication Methods
  453.    wt: 1:   6 Multiplication Commutes Order Not Important
  454.    wt: 1:   5 Decimal Fraction Multiplication
  455.    wt: 1:   4 Two and Three Digit Multipliers
  456.    wt: 1:   2 One Digit Multipliers
  457.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  458.    wt: 1:   Video Power Notation in Decimal Expansion
  459.    wt: 1:   Subtraction Another Video Lesson
  460.    wt: 1:   8 What skills and work habits to require
  461.    wt: 1:   7 Adding decimal fractions using decimal point
  462.    wt: 1:   5. How to add decimals C. Examples
  463.    wt: 1:   4. How to add with decimals B with conversions
  464.    wt: 1:   1. Explaining Addition Table
  465.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  466.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  467.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  468.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  469.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  470.    wt: 1:   Exact Arithmetic Wholes and Fractions
  471.    wt: 1:   Expression Evaluation how to show work
  472.    wt: 1:   015 School and work day counting tables
  473.    wt: 1:   014 Counting Days with Calendars
  474.    wt: 1:   013 Travel Time Tables
  475.    wt: 1:   3 Units and Lengths of Time
  476.    wt: 1:   5 Area Under Curve Exercise
  477.    wt: 1:   4 Definite Integrals Evaluation Exercises
  478.    wt: 1:   2 Indefinite Integrals Exercises
  479.    wt: 1:   1 Chain Rule in Reverse Integration Method
  480.    wt: 1:   Postscript More on Better Performance
  481.    wt: 1:   Postscript For Better Performance
  482.    wt: 1:   Appendix E. How To Study Mathematics and Why
  483.    wt: 1:   Appendix D. What to do in School and Why
  484.    wt: 1:   Appendix B. How To Learn
  485.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  486.    wt: 1:   Chapter 28 Occurrence Tables
  487.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  488.    wt: 1:   Chapter 25. Mathematical Induction Examples
  489.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  490.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  491.    wt: 1:   Chapter 21. Third Reading Guide
  492.    wt: 1:   Chapter 20. Degrees and Radians
  493.    wt: 1:   Chapter 19. Functions and Sets
  494.    wt: 1:   Chapter 18. Rules for Algebra
  495.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  496.    wt: 1:   Chapter 16. Painless Theorem Proving
  497.    wt: 1:   Chapter 15. Solving Linear Equations
  498.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  499.    wt: 1:   Chapter 12. Shorthand Usage Guide
  500.    wt: 1:   Chapter 11. Why Shorthand
  501.    wt: 1:   Chapter 10 Describing and Changing Calculations
  502.    wt: 1:   Postscript What is a Variable
  503.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  504.    wt: 1:   Chapter 8 Three Skills For Algebra
  505.    wt: 1:   Solutions For Arithmetic Exercises
  506.    wt: 1:   Chapter 6 Change of Language
  507.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  508.    wt: 1:   Chapter 4 Longer Chains of Reason
  509.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  510.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  511.    wt: 1:   Foreword
  512.    wt: 1:   Annotated Links to Material Elsehwere
  513.    wt: 1:   Postscript B Mathematics Education References
  514.    wt: 1:   Chapter 12 Four Phases
  515.    wt: 1:   Chapter 11 Elementary Instruction
  516.    wt: 1:   Chapter 10 Transition
  517.    wt: 1:   Chapter 9 The Two Ends
  518.    wt: 1:   Chapter 8 Modern Instruction
  519.    wt: 1:   Chapter 7 Two Treatments of Geometry
  520.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  521.    wt: 1:   Chapter 5 Four References
  522.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  523.    wt: 1:   Chapter 2 For and Against Mathematics
  524.    wt: 1:   Chapter 1 Introduction
  525.    wt: 1:   Foreword
  526.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  527.    wt: 1:   Postscript C Consistency as a Tool for Reason
  528.    wt: 1:   Postscript B More on Story Telling and Reason
  529.    wt: 1:   Postscript A Story Telling
  530.    wt: 1:   Chapter 24 Direct and Indirect Reason
  531.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  532.    wt: 1:   Chapter 21 Occurrence Tables
  533.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  534.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  535.    wt: 1:   Chapter 18 Sense and Knowledge
  536.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  537.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  538.    wt: 1:   Chapter 15 Objective Processes
  539.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  540.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  541.    wt: 1:   Chapter 11 Accidental Patterns
  542.    wt: 1:   Chapter 10 Responsibility
  543.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  544.    wt: 1:   Chapter 8 Change of Language
  545.    wt: 1:   Chapter 7 Longer Chains of Reason
  546.    wt: 1:   Chapter 6 Chains of Reason
  547.    wt: 1:   Chapter 5 Deception
  548.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  549.    wt: 1:   Chapter 2 Skill Development
  550.    wt: 1:   Chapter 1 Introduction
  551.    wt: 1:   Three Remarks
  552.    wt: 1:   Foreword
  553.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  554.    wt: 1:   M Words to extend arithmetic
  555.    wt: 1:   C. Domino effect of being careful
  556.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  557.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  558.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  559.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  560.    wt: 1:   Helping the Blind in Logic and Mathematics
  561.    wt: 1:   Mathematics Education References
  562.    wt: 1:   Mathematics Education References
  563.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  564.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  565.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  566.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  567.    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.