Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
 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 14+: 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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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  10.    wt: 2:   8 Unifying Theme For Algebra/
  11.    wt: 2:   Step 4 Gaussian Elimination/
  12.    wt: 2:   Step 1 Stick diagram and fractions/
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  20.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  21.    wt: 1:   1 Five Polynomial Operations/
  22.    wt: 1:   More Algebra/
  23.    wt: 1:   B Real Numbers Extrinsic Development/
  24.    wt: 1:   A Origins of Counting and Figuring Methods/
  25.    wt: 1:   9 Proportionality Backwards and Forwards/
  26.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  27.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  28.    wt: 1:   5 Real Numbers/
  29.    wt: 1:   4 Computation Rules and Function Notation/
  30.    wt: 1:   2 Formula Forward Use Evaluation/
  31.    wt: 1:   1 Working With Sets/
  32.    wt: 1:   Algebra Starter Lessons/
  33.    wt: 1:   C Decimal Multiplication Methods/
  34.    wt: 1:   4 Lessons on Using Derivatives/
  35.    wt: 1:   38 Lessons on Calculating Derivatives/
  36.    wt: 1:   13 Lessons on Limits and Continuity/
  37.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  38.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
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  1.    wt: 3:   Skills Chapter 3 Algebra
  2.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  3.    wt: 3:   Chapter 26 What is in chapters 27 to 31
  4.    wt: 3:   Chapter 3 Algebra Difficulties
  5.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  6.    wt: 2:   3 Euclidean Geometry Leanly
  7.    wt: 2:   Applied Maths Program14092009 POMME variant
  8.    wt: 2:   Leaner mathematics curriculum
  9.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  10.    wt: 2:   12 From Applied To Pure Mathematics
  11.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  12.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  13.    wt: 2:   3 Inequalities Algebraically
  14.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  15.    wt: 2:   13 Fraction Comparison Algebraic View
  16.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  17.    wt: 2:   33 Chain Rule Real Player video examples
  18.    wt: 2:   Chapter 23 Links To Trigonometry
  19.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  20.    wt: 2:   Chapter 13. Acceleration
  21.    wt: 2:   Chapter 3. Slope Sign Analysis
  22.    wt: 2:   Chapter 31 Direct and Indirect Reason
  23.    wt: 2:   Chapter 30 Truth Tables
  24.    wt: 2:   Chapter 23. Notation For Sums
  25.    wt: 2:   Chapter 18. Rules for Algebra
  26.    wt: 2:   Chapter 13. Second Reading Guide
  27.    wt: 2:   Chapter 8 Three Skills For Algebra
  28.    wt: 2:   Chapter 3 Chains of Reason
  29.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  30.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  31.    wt: 2:   Chapter 2 For and Against Mathematics
  32.    wt: 2:   Chapter 23 Truth Tables
  33.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  34.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  35.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  36.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  37.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  38.    wt: 1:   E LAMP Introduction Modern Mathematics
  39.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  40.    wt: 1:   Skills Chapter 5 Calculus
  41.    wt: 1:   Skills Chapter 4 Logic
  42.    wt: 1:   Ramblings Introduction Algebra Essay
  43.    wt: 1:   Skills Chapter 2 Geometry
  44.    wt: 1:   Skills Chapter 1 Arithmetic
  45.    wt: 1:   Skills Chapter 0 Introduction
  46.    wt: 1:   11 pure mathematics
  47.    wt: 1:   4 algebra
  48.    wt: 1:   Math Ed if it must be short make it lean effective
  49.    wt: 1:   Mathematics Education Professors
  50.    wt: 1:   mathematics in context
  51.    wt: 1:   Secondary Three Mathematics
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  53.    wt: 1:   Secondary One Mathematics
  54.    wt: 1:   talk the algebra talk
  55.    wt: 1:   mathematics curriculum shifts
  56.    wt: 1:   geometric implications for algebra
  57.    wt: 1:   teaching tutoring algebraic reason
  58.    wt: 1:   Lessening Algebra Difficulties
  59.    wt: 1:   the trouble with algebra
  60.    wt: 1:   three goals for Mathematics Education
  61.    wt: 1:   05 13 OldSiteEntrancePage
  62.    wt: 1:   04 29 New Mathematics Curriculum
  63.    wt: 1:   02 20 mathematics education references
  64.    wt: 1:   three aims for mathematics students
  65.    wt: 1:   mathematics instruction in general
  66.    wt: 1:   Education in mathematics science and technology
  67.    wt: 1:   three kinds of reason in mathematics
  68.    wt: 1:   need for a mixed mathematics curriculum
  69.    wt: 1:   words for mathematics instructor
  70.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  71.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  72.    wt: 1:   3 Energy Power Heat08
  73.    wt: 1:   C Energy Power03
  74.    wt: 1:   E Wire Resistance Calculation03
  75.    wt: 1:   3 Like resistors in parallel
  76.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  77.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  78.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  79.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  80.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  81.    wt: 1:   22 Student Centered Highschool Mathematics
  82.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  83.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  84.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  85.    wt: 1:   18 Primary School Mathematics
  86.    wt: 1:   16 Secondary Mathematics Tips
  87.    wt: 1:   13 Addition and Addition Tables
  88.    wt: 1:   12 Goals and Objectives For Mathematics
  89.    wt: 1:   3 Preparing for Science Studies
  90.    wt: 1:   Ages 3 plus to 4 plus
  91.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  92.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  93.    wt: 1:   sign monoticity analysis example 3
  94.    wt: 1:   23 Inverse Functions
  95.    wt: 1:   13 From one to one to many to one
  96.    wt: 1:   4 Function notation in and beyond mathematics
  97.    wt: 1:   3 Formula or function graphing exercise
  98.    wt: 1:   2 Algebraic use of function notation
  99.    wt: 1:   3 quadratics factoring by inspection
  100.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  101.    wt: 1:   3 Polynomials Multiplication Addition
  102.    wt: 1:   Rewriting algebraic substitution as function substitutions
  103.    wt: 1:   13 cosecant function Definition Graph and Inverse
  104.    wt: 1:   3 Left Inverse of cosine arccos definition
  105.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  106.    wt: 1:   13 Velocity Vectors in Physics
  107.    wt: 1:   3 Navigation with Arrows or Vectors
  108.    wt: 1:   3 graphing y=f(x c) plus K
  109.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  110.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  111.    wt: 1:   32 seven rows of pascals triangle
  112.    wt: 1:   31 basic secant cosecant cotangent trig identities
  113.    wt: 1:   30 unit circle calculation of six trigonometric functions
  114.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  115.    wt: 1:   13 Graph of tangent function many periods
  116.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  117.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  118.    wt: 1:   13 Trig Formulas for dot and cross Products
  119.    wt: 1:   3 Addition Properties
  120.    wt: 1:   3 Trigonometric Ratios sine and cosine
  121.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  122.    wt: 1:   3 Similarity by Design with coordinates
  123.    wt: 1:   5 Algebraic View of Slopes
  124.    wt: 1:   3 Slope product for perpendicular lines
  125.    wt: 1:   13 Pythagorean spatial distance formulas
  126.    wt: 1:   3 Rectangular Coordinates Review
  127.    wt: 1:   13 Angle Side Angle Failure
  128.    wt: 1:   3 Isometry of Triangles Congruence
  129.    wt: 1:   3 Lengths and Areas on Maps and Plans
  130.    wt: 1:   23 Distributive Law Two Derivations
  131.    wt: 1:   13 Arrows and Vectors in a Plane
  132.    wt: 1:   3 Location of Point in Decimal Multiplication
  133.    wt: 1:   3 Multiplicative Counting Skills Principles
  134.    wt: 1:   3 Proportionality Examples
  135.    wt: 1:   2 Algebraic View
  136.    wt: 1:   3 Linear Equation Literal Solution More
  137.    wt: 1:   5 Equality in Algebra
  138.    wt: 1:   3 Product Axioms Two Forms
  139.    wt: 1:   3 More and Less Than with Unlike Signs
  140.    wt: 1:   13 Real Number Subtraction
  141.    wt: 1:   3 Fractions
  142.    wt: 1:   3 Geometric Formulas and Function Notation
  143.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  144.    wt: 1:   3 GE III Equation Addition and Multiplication
  145.    wt: 1:   3 Solving triangular system example
  146.    wt: 1:   6 Algebraic Solution Example
  147.    wt: 1:   5 Algebraic Solutions Introduction
  148.    wt: 1:   3 Four Examples
  149.    wt: 1:   3 Two Examples
  150.    wt: 1:   13 Naming Identifying Formulas with Words
  151.    wt: 1:   3 Triangle Area Formula Example
  152.    wt: 1:   3 Counting with Sets etc
  153.    wt: 1:   4 A Brief Story of numbers and algebra
  154.    wt: 1:   3 Adding Words To Arithmetic
  155.    wt: 1:   1 Three Skills For Algebra
  156.    wt: 1:   3 Comparison of Negative Numbers
  157.    wt: 1:   3 Properties of Square Roots with example
  158.    wt: 1:   13 GCD from given Prime Factorization
  159.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  160.    wt: 1:   3 Counting with Tables and Trees II
  161.    wt: 1:   3 signed coordinates for maps and planes
  162.    wt: 1:   3 Multiplying Units and Numbers
  163.    wt: 1:   11 Simplification an Algebraic View
  164.    wt: 1:   6 Multiplication Algebraically Take II
  165.    wt: 1:   3 Unit fraction of a fraction
  166.    wt: 1:   13 Subtraction with Additive Inverse
  167.    wt: 1:   3 Adding Movements with same direction
  168.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  169.    wt: 1:   26 Divisibility by 2 3 5 Example
  170.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  171.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  172.    wt: 1:   23 Remainder Arithmetic Modulo 2
  173.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  174.    wt: 1:   21 Remainder Arithmetic Modulo 3
  175.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  176.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  177.    wt: 1:   13 video Factors of 24 using prime
  178.    wt: 1:   10 video Prime Factorization upto 23 squared
  179.    wt: 1:   3 video Primes and Composites from 9 times table
  180.    wt: 1:   Long Division forwards and backwards Example 3
  181.    wt: 1:   3 Division Single Digit Divisor Example
  182.    wt: 1:   3 More One Digit Multipliers
  183.    wt: 1:   1 Why 3 times 5 gives 15
  184.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  185.    wt: 1:   3. How to add with decimals A sans conversions
  186.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  187.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  188.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  189.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  190.    wt: 1:   Quick history of numbers and algebra
  191.    wt: 1:   013 Travel Time Tables
  192.    wt: 1:   3 Units and Lengths of Time
  193.    wt: 1:   Example 3
  194.    wt: 1:   A Related Material in Volume 3
  195.    wt: 1:   3 Two Chain Rule Method Exercises
  196.    wt: 1:   A Related lessons in Volume 3
  197.    wt: 1:   3 Second derivative test
  198.    wt: 1:   38 Formulas and derivatives for powers and roots
  199.    wt: 1:   36 Cube root derivative animated
  200.    wt: 1:   34 Derivative of exponential function
  201.    wt: 1:   31 Derivatives of inverse functions
  202.    wt: 1:   30Chain Rule A Proof
  203.    wt: 1:   23 Chain Rule in general
  204.    wt: 1:   15 sine and cosine derivatives 3rd step
  205.    wt: 1:   13 sine and cosine derivatives 1st step
  206.    wt: 1:   3 Motivation for Limit Definition Take 2
  207.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  208.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  209.    wt: 1:   3 Decimal insights for limits continuity convergence
  210.    wt: 1:   2 Algebraic codification
  211.    wt: 1:   G.3 Constant Difference Theorem Proof
  212.    wt: 1:   F.3 Intermediate Value Theorem
  213.    wt: 1:   E2 Algebraic Properties of Limits
  214.    wt: 1:   B3 Bolzano Weierstrass Theorem
  215.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  216.    wt: 1:   Chapter 22 Complex Numbers
  217.    wt: 1:   Chapter 21 Arrow Addition
  218.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  219.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  220.    wt: 1:   Chapter 18. Slopes Areas Integration
  221.    wt: 1:   Chapter 17. Area Approximation
  222.    wt: 1:   Chapter 16. Velocity Approximation
  223.    wt: 1:   Chapter 15. Slope Approximation
  224.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  225.    wt: 1:   Chapter 12. Units and Slopes
  226.    wt: 1:   Chapter 11. Graphing Slope versus Position
  227.    wt: 1:   Chapter 10 Slopes and Units
  228.    wt: 1:   Chapter 9 About First Courses in Calculus
  229.    wt: 1:   Chapter 8. Slope Interpretation
  230.    wt: 1:   Chapter 7 Slopes and Velocity
  231.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  232.    wt: 1:   Chapter 5. Slope Sign Tests
  233.    wt: 1:   Chapter 4. More Slope Sign Analysis
  234.    wt: 1:   Chapter 2. Slopes and Ski Trails
  235.    wt: 1:   Chapter 1.Introduction
  236.    wt: 1:   Fall 1983 Calculus Appetizer
  237.    wt: 1:   Appendix E. How To Study Mathematics and Why
  238.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  239.    wt: 1:   Chapter 28 Occurrence Tables
  240.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  241.    wt: 1:   Chapter 25. Mathematical Induction Examples
  242.    wt: 1:   Chapter 25. Mathematical Induction Examples
  243.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  244.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  245.    wt: 1:   Chapter 21. Third Reading Guide
  246.    wt: 1:   Chapter 20. Degrees and Radians
  247.    wt: 1:   Chapter 19. Functions and Sets
  248.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  249.    wt: 1:   Chapter 16. Painless Theorem Proving
  250.    wt: 1:   Chapter 15. Solving Linear Equations
  251.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  252.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  253.    wt: 1:   Chapter 12. Shorthand Usage Guide
  254.    wt: 1:   Chapter 11. Why Shorthand
  255.    wt: 1:   Chapter 10 Describing and Changing Calculations
  256.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  257.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  258.    wt: 1:   Chapter 6 Change of Language
  259.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  260.    wt: 1:   Chapter 4 Longer Chains of Reason
  261.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  262.    wt: 1:   Postscript B Mathematics Education References
  263.    wt: 1:   Chapter 12 Four Phases
  264.    wt: 1:   Chapter 11 Elementary Instruction
  265.    wt: 1:   Chapter 10 Transition
  266.    wt: 1:   Chapter 9 The Two Ends
  267.    wt: 1:   Chapter 8 Modern Instruction
  268.    wt: 1:   Chapter 7 Two Treatments of Geometry
  269.    wt: 1:   Chapter 5 Four References
  270.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  271.    wt: 1:   Chapter 1 Introduction
  272.    wt: 1:   Chapter 24 Direct and Indirect Reason
  273.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  274.    wt: 1:   Chapter 21 Occurrence Tables
  275.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  276.    wt: 1:   Chapter 18 Sense and Knowledge
  277.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  278.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  279.    wt: 1:   Chapter 15 Objective Processes
  280.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  281.    wt: 1:   Chapter 11 Accidental Patterns
  282.    wt: 1:   Chapter 10 Responsibility
  283.    wt: 1:   Chapter 8 Change of Language
  284.    wt: 1:   Chapter 7 Longer Chains of Reason
  285.    wt: 1:   Chapter 6 Chains of Reason
  286.    wt: 1:   Chapter 5 Deception
  287.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  288.    wt: 1:   Chapter 2 Skill Development
  289.    wt: 1:   Chapter 1 Introduction
  290.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  291.    wt: 1:   S Adding words to algebra
  292.    wt: 1:   R Why Learn Mathematics Skills
  293.    wt: 1:   O On Learning Mathematics and Science
  294.    wt: 1:   N Mathematics Prepare for College Studies
  295.    wt: 1:   Helping the Blind in Logic and Mathematics
  296.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  297.    wt: 1:   More Algebra and Slope based Calculus Preview
  298.    wt: 1:   Systematic Algebra Skill Development Missing Links
  299.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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  1.    wt: 8:   Ramblings Introduction Algebra Essay
  2.    wt: 7:   E LAMP Introduction Modern Mathematics
  3.    wt: 7:   C LAMP Introduction Culture in Mathematics Education
  4.    wt: 7:   Skills Chapter 5 Calculus
  5.    wt: 7:   Skills Chapter 4 Logic
  6.    wt: 7:   Ramblings Extrinsic numbers theory
  7.    wt: 7:   Skills Chapter 2 Geometry
  8.    wt: 7:   Skills Chapter 1 Arithmetic
  9.    wt: 7:   Skills Chapter 0 Introduction
  10.    wt: 6:   Appendix 2 primary school Arithmetic 01
  11.    wt: 6:   Appendix 1 primary and preschool mathematic
  12.    wt: 6:   K LAMP Musings Science Education
  13.    wt: 6:   J LAMP Introduction Extrinsic Origins
  14.    wt: 6:   I LAMP Introduction Study Habits
  15.    wt: 6:   H LAMP Introduction Instructional Concepts
  16.    wt: 6:   G LAMP Introduction Problem Solving Skills
  17.    wt: 6:   F LAMP Introduction Prerequisites
  18.    wt: 6:   B LAMP Introduction Curriculum Development Standards
  19.    wt: 6:   A Introduction Objectives
  20.    wt: 6:   3 Solving triangular system example
  21.    wt: 5:   3 Euclidean Geometry Leanly
  22.    wt: 5:   3 Gaussian Elimination 3 unknowns first example
  23.    wt: 5:   3 Four Examples
  24.    wt: 5:   Chapter 3 Algebra Difficulties
  25.    wt: 5:   Systematic Algebra Skill Development Missing Links
  26.    wt: 5:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  27.    wt: 4:   Math Ed if it must be short make it lean effective
  28.    wt: 4:   Applied Maths Program14092009 POMME variant
  29.    wt: 4:   mathematics in context
  30.    wt: 4:   Education Reform Inconsistencies
  31.    wt: 4:   teaching tutoring algebraic reason
  32.    wt: 4:   the trouble with algebra
  33.    wt: 4:   Leaner mathematics curriculum
  34.    wt: 4:   3 quadratics factoring by inspection
  35.    wt: 4:   13 Velocity Vectors in Physics
  36.    wt: 4:   12 From Applied To Pure Mathematics
  37.    wt: 4:   3 Navigation with Arrows or Vectors
  38.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  39.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  40.    wt: 4:   13 Pythagorean spatial distance formulas
  41.    wt: 4:   3 Rectangular Coordinates Review
  42.    wt: 4:   3 Inequalities Algebraically
  43.    wt: 4:   3 GE III Equation Addition and Multiplication
  44.    wt: 4:   4 Solving a triangular system exercise
  45.    wt: 4:   2 Essentially one exercises three with solution
  46.    wt: 4:   1 Essentially One Unknown
  47.    wt: 4:   6 Algebraic Solution Example
  48.    wt: 4:   5 Algebraic Solutions Introduction
  49.    wt: 4:   3 Two Examples
  50.    wt: 4:   13 video Factors of 24 using prime
  51.    wt: 4:   3 video Primes and Composites from 9 times table
  52.    wt: 4:   Chapter 23 Links To Trigonometry
  53.    wt: 4:   Chapter 13. Acceleration
  54.    wt: 4:   Chapter 3. Slope Sign Analysis
  55.    wt: 4:   Chapter 31 Direct and Indirect Reason
  56.    wt: 4:   Chapter 30 Truth Tables
  57.    wt: 4:   Chapter 26 What is in chapters 27 to 31
  58.    wt: 4:   Chapter 23. Notation For Sums
  59.    wt: 4:   Chapter 13. Second Reading Guide
  60.    wt: 4:   Chapter 3 Chains of Reason
  61.    wt: 4:   Chapter 3 What is in chapters 4 to 8
  62.    wt: 4:   More Algebra and Slope based Calculus Preview
  63.    wt: 3:   11 pure mathematics
  64.    wt: 3:   4 algebra
  65.    wt: 3:   permissions for teachers
  66.    wt: 3:   Mathematics Education Professors
  67.    wt: 3:   modern education
  68.    wt: 3:   learning takes time
  69.    wt: 3:   grouping students according to ability
  70.    wt: 3:   what should be learnt and When
  71.    wt: 3:   Postscript 2007 01 10
  72.    wt: 3:   five decades make a difference
  73.    wt: 3:   Secondary Three Mathematics
  74.    wt: 3:   Secondary Two Mathematics
  75.    wt: 3:   Secondary One Mathematics
  76.    wt: 3:   talk the algebra talk
  77.    wt: 3:   mathematics curriculum shifts
  78.    wt: 3:   geometric implications for algebra
  79.    wt: 3:   Lessening Algebra Difficulties
  80.    wt: 3:   three goals for Mathematics Education
  81.    wt: 3:   05 13 OldSiteEntrancePage
  82.    wt: 3:   04 29 New Mathematics Curriculum
  83.    wt: 3:   02 20 mathematics education references
  84.    wt: 3:   three aims for mathematics students
  85.    wt: 3:   Theory of Knowledge
  86.    wt: 3:   mathematics instruction in general
  87.    wt: 3:   Education in mathematics science and technology
  88.    wt: 3:   Different Kinds of Reasoning in maths
  89.    wt: 3:   three kinds of reason in mathematics
  90.    wt: 3:   need for a mixed mathematics curriculum
  91.    wt: 3:   words for mathematics instructor
  92.    wt: 3:   Ages 3 plus to 4 plus
  93.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  94.    wt: 3:   sign monoticity analysis example 3
  95.    wt: 3:   23 Inverse Functions
  96.    wt: 3:   13 From one to one to many to one
  97.    wt: 3:   3 Formula or function graphing exercise
  98.    wt: 3:   A Quadratics Summary
  99.    wt: 3:   10 quadratic exercises
  100.    wt: 3:   9 quadratics physical and further context
  101.    wt: 3:   8 quadratics backward use of various formulas
  102.    wt: 3:   7 quadratic formulla derivation
  103.    wt: 3:   6 quadratics numerical approach
  104.    wt: 3:   5 quadratics completing the square
  105.    wt: 3:   4 quadratics difference of two squares
  106.    wt: 3:   2 quadratics graphing in general
  107.    wt: 3:   1 quadratics graphing exercises
  108.    wt: 3:   Quadratics in 10 steps
  109.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  110.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  111.    wt: 3:   23 Distributive Law Two Derivations
  112.    wt: 3:   3 Multiplicative Counting Skills Principles
  113.    wt: 3:   3 Proportionality Examples
  114.    wt: 3:   3 Linear Equation Literal Solution More
  115.    wt: 3:   5 Gaussian Elimination for 3 unknowns 2nd example
  116.    wt: 3:   4 Four Examples Fractional Coefficients
  117.    wt: 3:   2 Three Examples
  118.    wt: 3:   1 Proper Equal Sign Usage
  119.    wt: 3:   10 video Prime Factorization upto 23 squared
  120.    wt: 3:   3 More One Digit Multipliers
  121.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  122.    wt: 3:   33 Chain Rule Real Player video examples
  123.    wt: 3:   31 Derivatives of inverse functions
  124.    wt: 3:   B3 Bolzano Weierstrass Theorem
  125.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  126.    wt: 3:   Chapter 18. Rules for Algebra
  127.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  128.    wt: 3:   Chapter 8 Three Skills For Algebra
  129.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  130.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  131.    wt: 3:   Chapter 2 For and Against Mathematics
  132.    wt: 3:   Chapter 23 Truth Tables
  133.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  134.    wt: 3:   Helping the Blind in Logic and Mathematics
  135.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  136.    wt: 3:   Implementation Notes
  137.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  138.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  139.    wt: 2:   10 statistics
  140.    wt: 2:   9 combinatorics probability sets
  141.    wt: 2:   8 analytic geometry etc
  142.    wt: 2:   7 logic review and decimals an odd combination
  143.    wt: 2:   6 polynomials etc
  144.    wt: 2:   5 logarithms and exponentials etc
  145.    wt: 2:   2 arithmetic with signed numbers
  146.    wt: 2:   1 arithmetic with unsigned numbers
  147.    wt: 2:   What is POMME
  148.    wt: 2:   why bother
  149.    wt: 2:   which way to go
  150.    wt: 2:   website reviews
  151.    wt: 2:   three goals to set for students
  152.    wt: 2:   Teach the teachers plus goals
  153.    wt: 2:   activities for students
  154.    wt: 2:   links Education Resources online
  155.    wt: 2:   site origins
  156.    wt: 2:   site eurekas
  157.    wt: 2:   About site lesson plans
  158.    wt: 2:   key notes and themes
  159.    wt: 2:   teacher certification
  160.    wt: 2:   Maps Plans Drawings
  161.    wt: 2:   how letters appear
  162.    wt: 2:   three difficulties
  163.    wt: 2:   teaching tips
  164.    wt: 2:   What to Tell Students
  165.    wt: 2:   04 25 when to stop or suspend mathemat
  166.    wt: 2:   02 21 words for teachers
  167.    wt: 2:   standards for course material
  168.    wt: 2:   Operational Viewpoint to Value
  169.    wt: 2:   formal or informal peer review
  170.    wt: 2:   cultivating intelligence
  171.    wt: 2:   Four ways to improve education reform
  172.    wt: 2:   How to be a better instructor
  173.    wt: 2:   Motivation and Context Problem
  174.    wt: 2:   Prequel In For A Penny In For A Pound
  175.    wt: 2:   education an empirical art
  176.    wt: 2:   fairness and inductive principles for instruction
  177.    wt: 2:   C Energy Power03
  178.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  179.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  180.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  181.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  182.    wt: 2:   13 Addition and Addition Tables
  183.    wt: 2:   3 Preparing for Science Studies
  184.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  185.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  186.    wt: 2:   4 Function notation in and beyond mathematics
  187.    wt: 2:   2 Algebraic use of function notation
  188.    wt: 2:   3 Polynomials Multiplication Addition
  189.    wt: 2:   Rewriting algebraic substitution as function substitutions
  190.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  191.    wt: 2:   A Global Time and Navigation
  192.    wt: 2:   15 Dot and Cross Product
  193.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  194.    wt: 2:   11 Component Method
  195.    wt: 2:   10 Parallelogram Addition Method
  196.    wt: 2:   9 Head to Tail Coordinate View
  197.    wt: 2:   8 Parallel Vectors
  198.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  199.    wt: 2:   6 Vectors with Coordinates
  200.    wt: 2:   5 Head To Tail Arrow Addition
  201.    wt: 2:   4 Resultant of a Sum of Movements
  202.    wt: 2:   2 Signed Coordinates
  203.    wt: 2:   1 Unsigned Coordinates
  204.    wt: 2:   Vector and Complex Number Applet
  205.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  206.    wt: 2:   12 Straight Lines Graphing mx plus b
  207.    wt: 2:   32 seven rows of pascals triangle
  208.    wt: 2:   31 basic secant cosecant cotangent trig identities
  209.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  210.    wt: 2:   13 Trig Formulas for dot and cross Products
  211.    wt: 2:   3 Addition Properties
  212.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  213.    wt: 2:   3 Similarity by Design with coordinates
  214.    wt: 2:   3 Slope product for perpendicular lines
  215.    wt: 2:   12 Spatial Coordinates
  216.    wt: 2:   11 Triangle Inequality
  217.    wt: 2:   10 Pythagorean plane distance formula
  218.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  219.    wt: 2:   8 Distance Between Points on a Line
  220.    wt: 2:   7 Complex Numbers Appetizer
  221.    wt: 2:   6 Polar Multiplication and Rotation
  222.    wt: 2:   5 Cartesian Addition and Translation
  223.    wt: 2:   4 Polar Coordinates to and from
  224.    wt: 2:   2 Cartesian Coordinates with signs
  225.    wt: 2:   1 Cartesian Coordinates sans signs
  226.    wt: 2:   13 Angle Side Angle Failure
  227.    wt: 2:   3 Isometry of Triangles Congruence
  228.    wt: 2:   26 More Less Greater Than Comparison
  229.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  230.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  231.    wt: 2:   22 Multiplication of Signed Numbers
  232.    wt: 2:   13 Arrows and Vectors in a Plane
  233.    wt: 2:   3 Location of Point in Decimal Multiplication
  234.    wt: 2:   5 Areas of Rectangles Revisited
  235.    wt: 2:   4 Fraction Operations Axiomatic Development
  236.    wt: 2:   2 Fraction Operations Physical Development
  237.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  238.    wt: 2:   2 Algebraic View
  239.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  240.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  241.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  242.    wt: 2:   6 Compound Interest Forward and Backwards
  243.    wt: 2:   5 Triangle Area Formula Backwards
  244.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  245.    wt: 2:   2 Linear Equation Literal Solution
  246.    wt: 2:   1 Changing Calculations
  247.    wt: 2:   5 Equality in Algebra
  248.    wt: 2:   3 Product Axioms Two Forms
  249.    wt: 2:   3 More and Less Than with Unlike Signs
  250.    wt: 2:   13 Real Number Subtraction
  251.    wt: 2:   3 Fractions
  252.    wt: 2:   3 Geometric Formulas and Function Notation
  253.    wt: 2:   More Exercises
  254.    wt: 2:   Simple Exercises
  255.    wt: 2:   4 GE III Animated Examples
  256.    wt: 2:   2 GE II Comparison
  257.    wt: 2:   1 GE Substitution four examples
  258.    wt: 2:   Skill Development Notes
  259.    wt: 2:   10 One Example
  260.    wt: 2:   9 Three Examples
  261.    wt: 2:   8 One Example
  262.    wt: 2:   7 Two Examples
  263.    wt: 2:   6 Three Examples
  264.    wt: 2:   5 Three Examples
  265.    wt: 2:   4 Two Examples
  266.    wt: 2:   2 Three Examples
  267.    wt: 2:   Using Letters for Physical Quantities
  268.    wt: 2:   Formula Usage Show Work Format
  269.    wt: 2:   13 Naming Identifying Formulas with Words
  270.    wt: 2:   3 Triangle Area Formula Example
  271.    wt: 2:   3 Counting with Sets etc
  272.    wt: 2:   4 A Brief Story of numbers and algebra
  273.    wt: 2:   3 Adding Words To Arithmetic
  274.    wt: 2:   1 Three Skills For Algebra
  275.    wt: 2:   3 Comparison of Negative Numbers
  276.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  277.    wt: 2:   13 Fraction Comparison Algebraic View
  278.    wt: 2:   3 Unit fraction of a fraction
  279.    wt: 2:   3 Adding Movements with same direction
  280.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  281.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  282.    wt: 2:   20 Uniqueness of Prime Factorization
  283.    wt: 2:   19 video Prime Factorization Unique
  284.    wt: 2:   18 video Count Factors given Prime Factorization
  285.    wt: 2:   17 Identify and Count Factors using Primes
  286.    wt: 2:   16 video Factors of 980 using prime
  287.    wt: 2:   15 video Factors of 20 using Prime Factorization
  288.    wt: 2:   14 video Factors of 24 Take II
  289.    wt: 2:   12 LCD GCD and LCM using Primes
  290.    wt: 2:   11 Efficient Square Rule Use
  291.    wt: 2:   9 video Prime Factorization upto 19 squared
  292.    wt: 2:   8 video Prime Factorization upto 19
  293.    wt: 2:   7 Calculator Usage Notes and Cautions
  294.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  295.    wt: 2:   5 Prime Factorization and a Square Rule
  296.    wt: 2:   4 video Prime Factorization Introduction
  297.    wt: 2:   2 Prime and Composites less than 16
  298.    wt: 2:   1 video how Products are bigger than factor
  299.    wt: 2:   3 Division Single Digit Divisor Example
  300.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  301.    wt: 2:   1 Why 3 times 5 gives 15
  302.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  303.    wt: 2:   3. How to add with decimals A sans conversions
  304.    wt: 2:   Example 3
  305.    wt: 2:   A Related lessons in Volume 3
  306.    wt: 2:   3 Second derivative test
  307.    wt: 2:   2 Second derivative test prequel
  308.    wt: 2:   38 Formulas and derivatives for powers and roots
  309.    wt: 2:   36 Cube root derivative animated
  310.    wt: 2:   34 Derivative of exponential function
  311.    wt: 2:   30Chain Rule A Proof
  312.    wt: 2:   23 Chain Rule in general
  313.    wt: 2:   22 Chain Rule for polynomials
  314.    wt: 2:   15 sine and cosine derivatives 3rd step
  315.    wt: 2:   13 sine and cosine derivatives 1st step
  316.    wt: 2:   12 Quotient rule examples
  317.    wt: 2:   5 Product Rule
  318.    wt: 2:   3 Motivation for Limit Definition Take 2
  319.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  320.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  321.    wt: 2:   4 Numerical properties
  322.    wt: 2:   3 Decimal insights for limits continuity convergence
  323.    wt: 2:   2 Algebraic codification
  324.    wt: 2:   G.3 Constant Difference Theorem Proof
  325.    wt: 2:   F.5a Equicontinuity Theorems
  326.    wt: 2:   F.3 Intermediate Value Theorem
  327.    wt: 2:   E2 Algebraic Properties of Limits
  328.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  329.    wt: 2:   Chapter 22 Complex Numbers
  330.    wt: 2:   Chapter 21 Arrow Addition
  331.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  332.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  333.    wt: 2:   Chapter 18. Slopes Areas Integration
  334.    wt: 2:   Chapter 17. Area Approximation
  335.    wt: 2:   Chapter 16. Velocity Approximation
  336.    wt: 2:   Chapter 15. Slope Approximation
  337.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  338.    wt: 2:   Chapter 12. Units and Slopes
  339.    wt: 2:   Chapter 11. Graphing Slope versus Position
  340.    wt: 2:   Chapter 10 Slopes and Units
  341.    wt: 2:   Chapter 9 About First Courses in Calculus
  342.    wt: 2:   Chapter 8. Slope Interpretation
  343.    wt: 2:   Chapter 7 Slopes and Velocity
  344.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  345.    wt: 2:   Chapter 5. Slope Sign Tests
  346.    wt: 2:   Chapter 4. More Slope Sign Analysis
  347.    wt: 2:   Chapter 2. Slopes and Ski Trails
  348.    wt: 2:   Chapter 1.Introduction
  349.    wt: 2:   Fall 1983 Calculus Appetizer
  350.    wt: 2:   Appendix E. How To Study Mathematics and Why
  351.    wt: 2:   Appendix C. How to Read
  352.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  353.    wt: 2:   Chapter 28 Occurrence Tables
  354.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  355.    wt: 2:   Chapter 25. Mathematical Induction Examples
  356.    wt: 2:   Chapter 25. Mathematical Induction Examples
  357.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  358.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  359.    wt: 2:   Chapter 21. Third Reading Guide
  360.    wt: 2:   Chapter 20. Degrees and Radians
  361.    wt: 2:   Chapter 19. Functions and Sets
  362.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  363.    wt: 2:   Chapter 16. Painless Theorem Proving
  364.    wt: 2:   Chapter 15. Solving Linear Equations
  365.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  366.    wt: 2:   Chapter 12. Shorthand Usage Guide
  367.    wt: 2:   Chapter 11. Why Shorthand
  368.    wt: 2:   Chapter 10 Describing and Changing Calculations
  369.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  370.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  371.    wt: 2:   Chapter 6 Change of Language
  372.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  373.    wt: 2:   Chapter 4 Longer Chains of Reason
  374.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  375.    wt: 2:   Postscript B Mathematics Education References
  376.    wt: 2:   Postscript A Three Remarks
  377.    wt: 2:   Chapter 12 Four Phases
  378.    wt: 2:   Chapter 11 Elementary Instruction
  379.    wt: 2:   Chapter 10 Transition
  380.    wt: 2:   Chapter 9 The Two Ends
  381.    wt: 2:   Chapter 8 Modern Instruction
  382.    wt: 2:   Chapter 7 Two Treatments of Geometry
  383.    wt: 2:   Chapter 5 Four References
  384.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  385.    wt: 2:   Chapter 1 Introduction
  386.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  387.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  388.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  389.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  390.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  391.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  392.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  393.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  394.    wt: 2:   Which Way To Go
  395.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  396.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  397.    wt: 1:   liens
  398.    wt: 1:   3 Energy Power Heat08
  399.    wt: 1:   E Wire Resistance Calculation03
  400.    wt: 1:   A Wire Resistance Qualitative01
  401.    wt: 1:   3 Like resistors in parallel
  402.    wt: 1:   B Electromotive force conventional current01
  403.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  404.    wt: 1:   22 Student Centered Highschool Mathematics
  405.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  406.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  407.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  408.    wt: 1:   18 Primary School Mathematics
  409.    wt: 1:   16 Secondary Mathematics Tips
  410.    wt: 1:   12 Goals and Objectives For Mathematics
  411.    wt: 1:   Ages 12 to 14 Skills with take home value
  412.    wt: 1:   Ages 12 to 14 Geometry
  413.    wt: 1:   Ages 12 to 14 Arithmetic
  414.    wt: 1:   Ages 10 to 12 Geometry
  415.    wt: 1:   Ages 10 to 12 Arithmetic
  416.    wt: 1:   Ages 9 to 10
  417.    wt: 1:   Ages 8 to 9
  418.    wt: 1:   Ages 7 to 8
  419.    wt: 1:   Ages 6 to 7
  420.    wt: 1:   Ages 4 plus to 5 plus
  421.    wt: 1:   sign monoticity analysis example 4
  422.    wt: 1:   sign monoticity analysis example 2
  423.    wt: 1:   sign monoticity analysis example 1
  424.    wt: 1:   26 Function definitions done and coming
  425.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  426.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  427.    wt: 1:   22 Square Root function graphically
  428.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  429.    wt: 1:   20 Interchanging coordinates a reflection
  430.    wt: 1:   19 Horizontal line rule and method
  431.    wt: 1:   18 Vertical Line Rule and Method
  432.    wt: 1:   17 Function maxima minima and their location
  433.    wt: 1:   16 Increasing or decreasing on intervals
  434.    wt: 1:   15 Sign analysis of functions
  435.    wt: 1:   14 Surjections Injections Bijections
  436.    wt: 1:   12 Function Domain Recognition Exercises
  437.    wt: 1:   11 Function Domain Range Source and Targets
  438.    wt: 1:   10 Interval Notation
  439.    wt: 1:   9 Set theory term relation possible origins
  440.    wt: 1:   8 Set view of relations and functions
  441.    wt: 1:   7 Functions with finite domains
  442.    wt: 1:   6 Set Existence Formation and Notation
  443.    wt: 1:   5 Function notation for geometric transformations
  444.    wt: 1:   1 Geometric Introduction of Function Notation
  445.    wt: 1:   Introduction Reading Guide
  446.    wt: 1:   11 Growth and Decay in Biology
  447.    wt: 1:   10 Exponential Growth and Decay Models
  448.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  449.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  450.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  451.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  452.    wt: 1:   5 Natural Logarithm Calculator Exercises
  453.    wt: 1:   2 Square Root Simplification a prequel
  454.    wt: 1:   1 Calculator Starter Exercises
  455.    wt: 1:   8 Notes for instructors or tutors
  456.    wt: 1:   7 Links Lessons Elsewhere
  457.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  458.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  459.    wt: 1:   4 Polynomials Long division linear divisor
  460.    wt: 1:   2 Column Multiplication Method
  461.    wt: 1:   1 Polynomials Distributive Law
  462.    wt: 1:   13 cosecant function Definition Graph and Inverse
  463.    wt: 1:   3 Left Inverse of cosine arccos definition
  464.    wt: 1:   3 graphing y=f(x c) plus K
  465.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  466.    wt: 1:   Straight Lines Intersection of
  467.    wt: 1:   14 Straight Lines Equations General Case
  468.    wt: 1:   11 Straight Lines Graphing y=mx
  469.    wt: 1:   10 Straight Lines through Origin Equations More
  470.    wt: 1:   9 Straight Lines through Origin Equations
  471.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  472.    wt: 1:   30 unit circle calculation of six trigonometric functions
  473.    wt: 1:   24 tangent Angle Difference Formula
  474.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  475.    wt: 1:   15 sine cosine Complementary Angle Relations
  476.    wt: 1:   13 Graph of tangent function many periods
  477.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  478.    wt: 1:   3 Trigonometric Ratios sine and cosine
  479.    wt: 1:   6 Geometric Diagrams in Class
  480.    wt: 1:   5 Algebraic View of Slopes
  481.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  482.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  483.    wt: 1:   3 Lengths and Areas on Maps and Plans
  484.    wt: 1:   musings do not puiblish real numbers
  485.    wt: 1:   A Modular and Remainder Arithmetic
  486.    wt: 1:   A Signed Number Arithmetic Review
  487.    wt: 1:   21 Addition of Multiples of a Single Vector
  488.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  489.    wt: 1:   19 Signed Multiples of Vectors
  490.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  491.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  492.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  493.    wt: 1:   15 Head to Tails in place Addition Associative
  494.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  495.    wt: 1:   12 Real Numbers Line Signed Coordinates
  496.    wt: 1:   11 Signed Number Addition and Addition Properties
  497.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  498.    wt: 1:   9 Division with Digits after Decimal Point
  499.    wt: 1:   8 Division and Mulplication of Compound Fractions
  500.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  501.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  502.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  503.    wt: 1:   4 Location of Point in Decimal Addition
  504.    wt: 1:   2 Counting Digits in Decimal Multiplication
  505.    wt: 1:   1 Fractions with Finite Decimal Expansions
  506.    wt: 1:   E Long Division Methods more
  507.    wt: 1:   D Long Division Methods
  508.    wt: 1:   C Three Decimal Subtraction Methods
  509.    wt: 1:   B Decimal Comparison and Subtraction
  510.    wt: 1:   A Decimal Addition Columm Methods
  511.    wt: 1:   8 Column Multiplication Methods in General
  512.    wt: 1:   7 Decimals Multiplication Methods Examples
  513.    wt: 1:   6 Column Methods for Decimal Multiplication
  514.    wt: 1:   5 Distributive Law for Whole Numbers
  515.    wt: 1:   4 Commutative Law Groups Counting Form
  516.    wt: 1:   2 Combing Counts Addition Skills and Principles
  517.    wt: 1:   1 The Counting Origins of Numbers
  518.    wt: 1:   5 Proportionality in Equivalent Fractions
  519.    wt: 1:   4 Rates Ratios and Proporitionality
  520.    wt: 1:   1 What is Proportionality
  521.    wt: 1:   6 Equations and Systems Equivalent or Implied
  522.    wt: 1:   4 Subtraction and Division Axioms
  523.    wt: 1:   2 Addition and Multiplication Axioms
  524.    wt: 1:   1 Equivalent Computation Rules
  525.    wt: 1:   5 Greater More Less Than Signs in General
  526.    wt: 1:   4 Comparison of Negative Numbers
  527.    wt: 1:   2 More and Less Than for Counts and Measures
  528.    wt: 1:   1 Real Numbers Comparison
  529.    wt: 1:   16 Real Numbers Comparison
  530.    wt: 1:   15 Real Number Division
  531.    wt: 1:   14 Real Number Multiplication
  532.    wt: 1:   12 Real Number Additive Inverses or Negatives
  533.    wt: 1:   11 Real Number Addition
  534.    wt: 1:   10 Real Number Lengths and Signs
  535.    wt: 1:   9 Coordinates for Regions in Space
  536.    wt: 1:   8 Coordinates for Maps and Planes
  537.    wt: 1:   7 Real Numbers as Line Cordinates
  538.    wt: 1:   6 Unsigned Real Numbers
  539.    wt: 1:   5 Rational Numbers More
  540.    wt: 1:   4 Rational Numbers
  541.    wt: 1:   2 Integers
  542.    wt: 1:   1 Whole and Natural Numbers
  543.    wt: 1:   5 Independent versus Dependent Variables
  544.    wt: 1:   4 Changing Letters
  545.    wt: 1:   2 Computation Rules Evaluation
  546.    wt: 1:   1 Formulas Dependence and Function Notation
  547.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  548.    wt: 1:   11 Volume of Sphere
  549.    wt: 1:   10 Volume of Pyramid
  550.    wt: 1:   9 Volume of Cone
  551.    wt: 1:   8 Compound Interest Formula Evaluation
  552.    wt: 1:   7 Compound Interest Formula Introduction
  553.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  554.    wt: 1:   5 Box Volume Formula Example
  555.    wt: 1:   4 Circle Area Formula Example
  556.    wt: 1:   2 Another Rectangle Area Formula Example
  557.    wt: 1:   1 Written work formats for developing and showing skill
  558.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  559.    wt: 1:   9 Sets in Probability and Statistics
  560.    wt: 1:   8 Sets of Numbers
  561.    wt: 1:   7 Cautious or Safe Set Construction
  562.    wt: 1:   6 Power Set Notation
  563.    wt: 1:   5 Product Builder Notation
  564.    wt: 1:   4 Subset Builder Notation
  565.    wt: 1:   2 Venn Diagrams
  566.    wt: 1:   1 Finite Sets
  567.    wt: 1:   6 Three Notions of What is a Variable
  568.    wt: 1:   5 Talking about Numbers and Quantities
  569.    wt: 1:   2 What is a Variable
  570.    wt: 1:   About Folder Contents
  571.    wt: 1:   3 Properties of Square Roots with example
  572.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  573.    wt: 1:   13 GCD from given Prime Factorization
  574.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  575.    wt: 1:   2 Least Common Multiple LCM intro via list method
  576.    wt: 1:   3 Counting with Tables and Trees II
  577.    wt: 1:   3 signed coordinates for maps and planes
  578.    wt: 1:   3 Multiplying Units and Numbers
  579.    wt: 1:   11 Simplification an Algebraic View
  580.    wt: 1:   6 Multiplication Algebraically Take II
  581.    wt: 1:   A Associative Law Theorectical Note
  582.    wt: 1:   13 Subtraction with Additive Inverse
  583.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  584.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  585.    wt: 1:   26 Divisibility by 2 3 5 Example
  586.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  587.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  588.    wt: 1:   23 Remainder Arithmetic Modulo 2
  589.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  590.    wt: 1:   21 Remainder Arithmetic Modulo 3
  591.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  592.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  593.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  594.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  595.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  596.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  597.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  598.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  599.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  600.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  601.    wt: 1:   Long Division Backward
  602.    wt: 1:   Long Division forwards and backwards Example 3
  603.    wt: 1:   D Decimal Multiplication Methods Derived
  604.    wt: 1:   C Counting Areas with Powers of Ten
  605.    wt: 1:   B Powers of Ten
  606.    wt: 1:   A Elementary Basis for Multiplication Methods
  607.    wt: 1:   6 Multiplication Commutes Order Not Important
  608.    wt: 1:   5 Decimal Fraction Multiplication
  609.    wt: 1:   4 Two and Three Digit Multipliers
  610.    wt: 1:   2 One Digit Multipliers
  611.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  612.    wt: 1:   Video Power Notation in Decimal Expansion
  613.    wt: 1:   Subtraction Another Video Lesson
  614.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  615.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  616.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  617.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  618.    wt: 1:   Quick history of numbers and algebra
  619.    wt: 1:   Expression Evaluation how to show work
  620.    wt: 1:   013 Travel Time Tables
  621.    wt: 1:   3 Units and Lengths of Time
  622.    wt: 1:   Example 4 with x function of y
  623.    wt: 1:   Example 2
  624.    wt: 1:   Example 1
  625.    wt: 1:   A Related Material in Volume 3
  626.    wt: 1:   3 Two Chain Rule Method Exercises
  627.    wt: 1:   4 Second derivative test exercise example
  628.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  629.    wt: 1:   A Chain Rule Real Player video examples
  630.    wt: 1:   29 Chain Rule Optional Reading
  631.    wt: 1:   28 Chain Rule Preparation for a Proof
  632.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  633.    wt: 1:   26 Chain Rule Recognising outer inner functions
  634.    wt: 1:   25 Chain Rule Animated Examples Continued
  635.    wt: 1:   24 Chain Rule Animated Examples
  636.    wt: 1:   21 Chain Rule for powers
  637.    wt: 1:   20 Chain Rule for Pulley Systems
  638.    wt: 1:   19 Chain Rule for linear functions
  639.    wt: 1:   18 Chain Rule Introduction
  640.    wt: 1:   17 Derivatives of quotients of sine and cosine
  641.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  642.    wt: 1:   14 sine and cosine derivatives 2nd step
  643.    wt: 1:   11 Quotient rule
  644.    wt: 1:   10 Power rule for negative integers
  645.    wt: 1:   9 Reciprocal rule
  646.    wt: 1:   8 Differentiation of polynomials
  647.    wt: 1:   7 Animated Differentiation Examples
  648.    wt: 1:   6 Power rule from product rule
  649.    wt: 1:   4 Sum Rule
  650.    wt: 1:   2 Motivation for Limit Definition Take 1
  651.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  652.    wt: 1:   11 Limits at infinity Three Examples
  653.    wt: 1:   10 Three one sided limits with infinite values
  654.    wt: 1:   9 Limits Continuity and Composition
  655.    wt: 1:   8 Four Animated Examples
  656.    wt: 1:   7 Evaluation by immediate or delayed substitution
  657.    wt: 1:   6 Continuity at a point
  658.    wt: 1:   5 Jumps and absence of unlimited error control
  659.    wt: 1:   1 Numerical introduction
  660.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  661.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  662.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  663.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  664.    wt: 1:   G.5 Motions With Bounded Velocities
  665.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  666.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  667.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  668.    wt: 1:   F.5b Extreme Value Theorem
  669.    wt: 1:   F.4 Finite Covering Theorem
  670.    wt: 1:   F.2 Closed Range Theorem
  671.    wt: 1:   F.1 What Functions are Continuous
  672.    wt: 1:   E1 Error Control Inequalities
  673.    wt: 1:   D2 Limits of Monotone Sequences
  674.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  675.    wt: 1:   C Triangle Inequalities
  676.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  677.    wt: 1:   PostScript For and Against Decimal Perspectives
  678.    wt: 1:   A1. Introduction
  679.    wt: 1:   index
  680.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  681.    wt: 1:   Foreword
  682.    wt: 1:   Postscript More on Better Performance
  683.    wt: 1:   Postscript For Better Performance
  684.    wt: 1:   Appendix D. What to do in School and Why
  685.    wt: 1:   Appendix B. How To Learn
  686.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  687.    wt: 1:   Postscript What is a Variable
  688.    wt: 1:   Solutions For Arithmetic Exercises
  689.    wt: 1:   Foreword
  690.    wt: 1:   Annotated Links to Material Elsehwere
  691.    wt: 1:   Foreword
  692.    wt: 1:   Chapter 24 Direct and Indirect Reason
  693.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  694.    wt: 1:   Chapter 21 Occurrence Tables
  695.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  696.    wt: 1:   Chapter 18 Sense and Knowledge
  697.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  698.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  699.    wt: 1:   Chapter 15 Objective Processes
  700.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  701.    wt: 1:   Chapter 11 Accidental Patterns
  702.    wt: 1:   Chapter 10 Responsibility
  703.    wt: 1:   Chapter 8 Change of Language
  704.    wt: 1:   Chapter 7 Longer Chains of Reason
  705.    wt: 1:   Chapter 6 Chains of Reason
  706.    wt: 1:   Chapter 5 Deception
  707.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  708.    wt: 1:   Chapter 2 Skill Development
  709.    wt: 1:   Chapter 1 Introduction
  710.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  711.    wt: 1:   S Adding words to algebra
  712.    wt: 1:   R Why Learn Mathematics Skills
  713.    wt: 1:   O On Learning Mathematics and Science
  714.    wt: 1:   N Mathematics Prepare for College Studies
  715.    wt: 1:   M Words to extend arithmetic
  716.    wt: 1:   C. Domino effect of being careful
  717.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  718.    wt: 10:   Skills Chapter 3 Algebra

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