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 Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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.

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  6.    wt: 2:   Mathematics Education Essays/
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  9.    wt: 2:   10 Examples of Algebraic Reasoning/
  10.    wt: 2:   8 Unifying Theme For Algebra/
  11.    wt: 2:   Step 4 Gaussian Elimination/
  12.    wt: 2:   Step 1 Stick diagram and fractions/
  13.    wt: 2:   3 Solving Linear Equations/
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  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/
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  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/
  39.    wt: 1:   Volume 2 Three Skills For Algebra/
  40.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  41.    wt: 1:   Mathematics 506 Lessons/
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307 matches:

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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