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

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

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

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

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

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

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

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  1.    wt: 6:   Volume 1B Mathematics Curriculum Notes/
  2.    wt: 2:   10 Examples of Algebraic Reasoning/
  3.    wt: 2:   8 Unifying Theme For Algebra/
  4.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  5.    wt: 2:   Volume 2 Three Skills For Algebra/
  6.    wt: 2:   Secondary Mathematics A Practical Approach/
  7.    wt: 1:   LAMP Lean Applied Mathematics Program/
  8.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  9.    wt: 1:   Mathematics Education Essays/
  10.    wt: 1:   Volume 1A Regles et modeles/
  11.    wt: 1:   Mathematics Skills Year by Year/
  12.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  13.    wt: 1:   4 Functions/
  14.    wt: 1:   3 Quadratics Geometrically/
  15.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  16.    wt: 1:   1 Five Polynomial Operations/
  17.    wt: 1:   More Algebra/
  18.    wt: 1:   B Real Numbers Extrinsic Development/
  19.    wt: 1:   A Origins of Counting and Figuring Methods/
  20.    wt: 1:   9 Proportionality Backwards and Forwards/
  21.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  22.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  23.    wt: 1:   5 Real Numbers/
  24.    wt: 1:   4 Computation Rules and Function Notation/
  25.    wt: 1:   Step 4 Gaussian Elimination/
  26.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  27.    wt: 1:   Step 1 Stick diagram and fractions/
  28.    wt: 1:   3 Solving Linear Equations/
  29.    wt: 1:   2 Formula Forward Use Evaluation/
  30.    wt: 1:   1 Working With Sets/
  31.    wt: 1:   Algebra Starter Lessons/
  32.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  33.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  34.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  35.    wt: 1:   Volume 1A Pattern Based Reason/
  36.    wt: 1:   Volume 1 Elements of Reason/
  37.    wt: 1:   Mathematics 506 Lessons/
  38.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  39.    wt: 1:   Mathematics Skill Development Framework/

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103 matches:

  1.    wt: 2:   Secondary Three Mathematics
  2.    wt: 2:   Secondary Two Mathematics
  3.    wt: 2:   Secondary One Mathematics
  4.    wt: 2:   mathematics curriculum shifts
  5.    wt: 2:   04 29 New Mathematics Curriculum
  6.    wt: 2:   need for a mixed mathematics curriculum
  7.    wt: 2:   Leaner mathematics curriculum
  8.    wt: 2:   16 Secondary Mathematics Tips
  9.    wt: 1:   E LAMP Introduction Modern Mathematics
  10.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  11.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  12.    wt: 1:   Ramblings Introduction Algebra Essay
  13.    wt: 1:   Skills Chapter 3 Algebra
  14.    wt: 1:   11 pure mathematics
  15.    wt: 1:   4 algebra
  16.    wt: 1:   key notes and themes
  17.    wt: 1:   Mathematics Education Professors
  18.    wt: 1:   mathematics in context
  19.    wt: 1:   talk the algebra talk
  20.    wt: 1:   geometric implications for algebra
  21.    wt: 1:   teaching tutoring algebraic reason
  22.    wt: 1:   Lessening Algebra Difficulties
  23.    wt: 1:   the trouble with algebra
  24.    wt: 1:   three goals for Mathematics Education
  25.    wt: 1:   02 20 mathematics education references
  26.    wt: 1:   three aims for mathematics students
  27.    wt: 1:   mathematics instruction in general
  28.    wt: 1:   Education in mathematics science and technology
  29.    wt: 1:   three kinds of reason in mathematics
  30.    wt: 1:   words for mathematics instructor
  31.    wt: 1:   E Kirchoffs Second Law
  32.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  33.    wt: 1:   22 Student Centered Highschool Mathematics
  34.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  35.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  36.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  37.    wt: 1:   18 Primary School Mathematics
  38.    wt: 1:   12 Goals and Objectives For Mathematics
  39.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  40.    wt: 1:   4 Function notation in and beyond mathematics
  41.    wt: 1:   2 Algebraic use of function notation
  42.    wt: 1:   8 Notes for instructors or tutors
  43.    wt: 1:   Rewriting algebraic substitution as function substitutions
  44.    wt: 1:   12 From Applied To Pure Mathematics
  45.    wt: 1:   7 Second Way to Calculate Products
  46.    wt: 1:   11 A Partial Summary
  47.    wt: 1:   5 Algebraic View of Slopes
  48.    wt: 1:   3 Inequalities Algebraically
  49.    wt: 1:   2 Algebraic View
  50.    wt: 1:   5 Equality in Algebra
  51.    wt: 1:   6 Algebraic Solution Example
  52.    wt: 1:   5 Algebraic Solutions Introduction
  53.    wt: 1:   Skill Development Notes
  54.    wt: 1:   11 Volume of Sphere
  55.    wt: 1:   10 Volume of Pyramid
  56.    wt: 1:   9 Volume of Cone
  57.    wt: 1:   5 Box Volume Formula Example
  58.    wt: 1:   4 A Brief Story of numbers and algebra
  59.    wt: 1:   1 Three Skills For Algebra
  60.    wt: 1:   13 Fraction Comparison Algebraic View
  61.    wt: 1:   11 Simplification an Algebraic View
  62.    wt: 1:   6 Multiplication Algebraically Take II
  63.    wt: 1:   7 Calculator Usage Notes and Cautions
  64.    wt: 1:   1. Explaining Addition Table
  65.    wt: 1:   Quick history of numbers and algebra
  66.    wt: 1:   6 How long is a million seconds
  67.    wt: 1:   Example 2 volume of a cone
  68.    wt: 1:   Example 1 volume of a pyramid
  69.    wt: 1:   Volume of Solid by Cross Sections Lesson
  70.    wt: 1:   A Related Material in Volume 3
  71.    wt: 1:   A Related lessons in Volume 3
  72.    wt: 1:   4 Second derivative test exercise example
  73.    wt: 1:   3 Second derivative test
  74.    wt: 1:   2 Second derivative test prequel
  75.    wt: 1:   2 Algebraic codification
  76.    wt: 1:   E2 Algebraic Properties of Limits
  77.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  78.    wt: 1:   Appendix E. How To Study Mathematics and Why
  79.    wt: 1:   Chapter 18. Rules for Algebra
  80.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  81.    wt: 1:   Chapter 13. Second Reading Guide
  82.    wt: 1:   Chapter 8 Three Skills For Algebra
  83.    wt: 1:   Postscript B Mathematics Education References
  84.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  85.    wt: 1:   Chapter 3 Algebra Difficulties
  86.    wt: 1:   Chapter 2 For and Against Mathematics
  87.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  88.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  89.    wt: 1:   S Adding words to algebra
  90.    wt: 1:   R Why Learn Mathematics Skills
  91.    wt: 1:   O On Learning Mathematics and Science
  92.    wt: 1:   N Mathematics Prepare for College Studies
  93.    wt: 1:   Chapter 6 More Algebra and Geometry
  94.    wt: 1:   Chapter 3 Algebra Starter Lessons
  95.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  96.    wt: 1:   Helping the Blind in Logic and Mathematics
  97.    wt: 1:   Mathematics Education References
  98.    wt: 1:   Mathematics Education References
  99.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  100.    wt: 1:   Implementation Notes
  101.    wt: 1:   More Algebra and Slope based Calculus Preview
  102.    wt: 1:   Systematic Algebra Skill Development Missing Links
  103.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

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561 matches:

  1.    wt: 7:   Postscript B Mathematics Education References
  2.    wt: 7:   Chapter 6 Rule Based Reason in Mathematics
  3.    wt: 7:   Chapter 3 Algebra Difficulties
  4.    wt: 7:   Chapter 2 For and Against Mathematics
  5.    wt: 6:   Annotated Links to Material Elsehwere
  6.    wt: 6:   Postscript A Three Remarks
  7.    wt: 6:   Chapter 12 Four Phases
  8.    wt: 6:   Chapter 11 Elementary Instruction
  9.    wt: 6:   Chapter 10 Transition
  10.    wt: 6:   Chapter 9 The Two Ends
  11.    wt: 6:   Chapter 8 Modern Instruction
  12.    wt: 6:   Chapter 7 Two Treatments of Geometry
  13.    wt: 6:   Chapter 5 Four References
  14.    wt: 6:   Chapter 4 Complex Numbers and Why Slopes
  15.    wt: 6:   Chapter 1 Introduction
  16.    wt: 6:   Foreword
  17.    wt: 3:   Secondary Three Mathematics
  18.    wt: 3:   Secondary Two Mathematics
  19.    wt: 3:   Secondary One Mathematics
  20.    wt: 3:   mathematics curriculum shifts
  21.    wt: 3:   04 29 New Mathematics Curriculum
  22.    wt: 3:   need for a mixed mathematics curriculum
  23.    wt: 3:   Leaner mathematics curriculum
  24.    wt: 3:   3 Inequalities Algebraically
  25.    wt: 3:   6 Algebraic Solution Example
  26.    wt: 3:   5 Algebraic Solutions Introduction
  27.    wt: 3:   Appendix E. How To Study Mathematics and Why
  28.    wt: 3:   Chapter 18. Rules for Algebra
  29.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  30.    wt: 3:   Chapter 13. Second Reading Guide
  31.    wt: 3:   Chapter 8 Three Skills For Algebra
  32.    wt: 3:   Chapter 6 More Algebra and Geometry
  33.    wt: 3:   Chapter 3 Algebra Starter Lessons
  34.    wt: 2:   E LAMP Introduction Modern Mathematics
  35.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  36.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  37.    wt: 2:   Ramblings Introduction Algebra Essay
  38.    wt: 2:   Skills Chapter 3 Algebra
  39.    wt: 2:   11 pure mathematics
  40.    wt: 2:   4 algebra
  41.    wt: 2:   key notes and themes
  42.    wt: 2:   Mathematics Education Professors
  43.    wt: 2:   mathematics in context
  44.    wt: 2:   talk the algebra talk
  45.    wt: 2:   geometric implications for algebra
  46.    wt: 2:   teaching tutoring algebraic reason
  47.    wt: 2:   Lessening Algebra Difficulties
  48.    wt: 2:   the trouble with algebra
  49.    wt: 2:   three goals for Mathematics Education
  50.    wt: 2:   02 20 mathematics education references
  51.    wt: 2:   three aims for mathematics students
  52.    wt: 2:   mathematics instruction in general
  53.    wt: 2:   Education in mathematics science and technology
  54.    wt: 2:   three kinds of reason in mathematics
  55.    wt: 2:   words for mathematics instructor
  56.    wt: 2:   16 Secondary Mathematics Tips
  57.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  58.    wt: 2:   4 Function notation in and beyond mathematics
  59.    wt: 2:   2 Algebraic use of function notation
  60.    wt: 2:   8 Notes for instructors or tutors
  61.    wt: 2:   Rewriting algebraic substitution as function substitutions
  62.    wt: 2:   5 Areas of Rectangles Revisited
  63.    wt: 2:   4 Fraction Operations Axiomatic Development
  64.    wt: 2:   2 Fraction Operations Physical Development
  65.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  66.    wt: 2:   2 Algebraic View
  67.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  68.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  69.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  70.    wt: 2:   6 Compound Interest Forward and Backwards
  71.    wt: 2:   5 Triangle Area Formula Backwards
  72.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  73.    wt: 2:   3 Linear Equation Literal Solution More
  74.    wt: 2:   2 Linear Equation Literal Solution
  75.    wt: 2:   1 Changing Calculations
  76.    wt: 2:   5 Equality in Algebra
  77.    wt: 2:   4 Four Examples Fractional Coefficients
  78.    wt: 2:   3 Four Examples
  79.    wt: 2:   2 Three Examples
  80.    wt: 2:   1 Proper Equal Sign Usage
  81.    wt: 2:   Skill Development Notes
  82.    wt: 2:   11 Volume of Sphere
  83.    wt: 2:   10 Volume of Pyramid
  84.    wt: 2:   9 Volume of Cone
  85.    wt: 2:   5 Box Volume Formula Example
  86.    wt: 2:   4 A Brief Story of numbers and algebra
  87.    wt: 2:   1 Three Skills For Algebra
  88.    wt: 2:   Example 2 volume of a cone
  89.    wt: 2:   Example 1 volume of a pyramid
  90.    wt: 2:   Volume of Solid by Cross Sections Lesson
  91.    wt: 2:   E2 Algebraic Properties of Limits
  92.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  93.    wt: 2:   Postscript More on Better Performance
  94.    wt: 2:   Postscript For Better Performance
  95.    wt: 2:   Appendix D. What to do in School and Why
  96.    wt: 2:   Appendix C. How to Read
  97.    wt: 2:   Appendix B. How To Learn
  98.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  99.    wt: 2:   Chapter 31 Direct and Indirect Reason
  100.    wt: 2:   Chapter 30 Truth Tables
  101.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  102.    wt: 2:   Chapter 28 Occurrence Tables
  103.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  104.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  105.    wt: 2:   Chapter 25. Mathematical Induction Examples
  106.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  107.    wt: 2:   Chapter 23. Notation For Sums
  108.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  109.    wt: 2:   Chapter 21. Third Reading Guide
  110.    wt: 2:   Chapter 20. Degrees and Radians
  111.    wt: 2:   Chapter 19. Functions and Sets
  112.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  113.    wt: 2:   Chapter 16. Painless Theorem Proving
  114.    wt: 2:   Chapter 15. Solving Linear Equations
  115.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  116.    wt: 2:   Chapter 12. Shorthand Usage Guide
  117.    wt: 2:   Chapter 11. Why Shorthand
  118.    wt: 2:   Chapter 10 Describing and Changing Calculations
  119.    wt: 2:   Postscript What is a Variable
  120.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  121.    wt: 2:   Solutions For Arithmetic Exercises
  122.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  123.    wt: 2:   Chapter 6 Change of Language
  124.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  125.    wt: 2:   Chapter 4 Longer Chains of Reason
  126.    wt: 2:   Chapter 3 Chains of Reason
  127.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  128.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  129.    wt: 2:   Foreword
  130.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  131.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  132.    wt: 2:   Chapter 8 Skipped Topics and Why
  133.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  134.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  135.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  136.    wt: 2:   Chapter 2 Why Sets
  137.    wt: 2:   Chapter 1 Arithmetic
  138.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  139.    wt: 2:   Helping the Blind in Logic and Mathematics
  140.    wt: 2:   Mathematics Education References
  141.    wt: 2:   Mathematics Education References
  142.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  143.    wt: 2:   Implementation Notes
  144.    wt: 2:   More Algebra and Slope based Calculus Preview
  145.    wt: 2:   Systematic Algebra Skill Development Missing Links
  146.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  147.    wt: 1:   Appendix 2 primary school Arithmetic 01
  148.    wt: 1:   Appendix 1 primary and preschool mathematic
  149.    wt: 1:   K LAMP Musings Science Education
  150.    wt: 1:   J LAMP Introduction Extrinsic Origins
  151.    wt: 1:   I LAMP Introduction Study Habits
  152.    wt: 1:   H LAMP Introduction Instructional Concepts
  153.    wt: 1:   G LAMP Introduction Problem Solving Skills
  154.    wt: 1:   F LAMP Introduction Prerequisites
  155.    wt: 1:   A Introduction Objectives
  156.    wt: 1:   Skills Chapter 5 Calculus
  157.    wt: 1:   Skills Chapter 4 Logic
  158.    wt: 1:   Ramblings Extrinsic numbers theory
  159.    wt: 1:   Skills Chapter 2 Geometry
  160.    wt: 1:   Skills Chapter 1 Arithmetic
  161.    wt: 1:   Skills Chapter 0 Introduction
  162.    wt: 1:   10 statistics
  163.    wt: 1:   9 combinatorics probability sets
  164.    wt: 1:   8 analytic geometry etc
  165.    wt: 1:   7 logic review and decimals an odd combination
  166.    wt: 1:   6 polynomials etc
  167.    wt: 1:   5 logarithms and exponentials etc
  168.    wt: 1:   3 Euclidean Geometry Leanly
  169.    wt: 1:   2 arithmetic with signed numbers
  170.    wt: 1:   1 arithmetic with unsigned numbers
  171.    wt: 1:   What is POMME
  172.    wt: 1:   why bother
  173.    wt: 1:   which way to go
  174.    wt: 1:   website reviews
  175.    wt: 1:   three goals to set for students
  176.    wt: 1:   Teach the teachers plus goals
  177.    wt: 1:   permissions for teachers
  178.    wt: 1:   Math Ed if it must be short make it lean effective
  179.    wt: 1:   Applied Maths Program14092009 POMME variant
  180.    wt: 1:   activities for students
  181.    wt: 1:   links Education Resources online
  182.    wt: 1:   site origins
  183.    wt: 1:   site eurekas
  184.    wt: 1:   About site lesson plans
  185.    wt: 1:   teacher certification
  186.    wt: 1:   modern education
  187.    wt: 1:   learning takes time
  188.    wt: 1:   grouping students according to ability
  189.    wt: 1:   what should be learnt and When
  190.    wt: 1:   Postscript 2007 01 10
  191.    wt: 1:   Education Reform Inconsistencies
  192.    wt: 1:   five decades make a difference
  193.    wt: 1:   Maps Plans Drawings
  194.    wt: 1:   how letters appear
  195.    wt: 1:   three difficulties
  196.    wt: 1:   teaching tips
  197.    wt: 1:   What to Tell Students
  198.    wt: 1:   05 13 OldSiteEntrancePage
  199.    wt: 1:   04 25 when to stop or suspend mathemat
  200.    wt: 1:   02 21 words for teachers
  201.    wt: 1:   standards for course material
  202.    wt: 1:   Operational Viewpoint to Value
  203.    wt: 1:   formal or informal peer review
  204.    wt: 1:   Theory of Knowledge
  205.    wt: 1:   Different Kinds of Reasoning in maths
  206.    wt: 1:   cultivating intelligence
  207.    wt: 1:   Four ways to improve education reform
  208.    wt: 1:   How to be a better instructor
  209.    wt: 1:   Motivation and Context Problem
  210.    wt: 1:   Prequel In For A Penny In For A Pound
  211.    wt: 1:   education an empirical art
  212.    wt: 1:   fairness and inductive principles for instruction
  213.    wt: 1:   chapitre 12 00 les iles et division
  214.    wt: 1:   chapitre 07 01 principle D induction mathematique
  215.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  216.    wt: 1:   chapitre 06 00 Chaines de la raison
  217.    wt: 1:   chapitre 05 00 Deception
  218.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  219.    wt: 1:   chapitre 04 09 Regles accidentelles
  220.    wt: 1:   chapitre 04 08 Limitations et benefices
  221.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  222.    wt: 1:   chapitre 04 06 engagements
  223.    wt: 1:   chapitre 04 05 Implication versus suggestion
  224.    wt: 1:   chapitre 04 04 Parlons de la logique
  225.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  226.    wt: 1:   chapitre 04 02 Deuxieme enigme
  227.    wt: 1:   chapitre 04 01 Premiere enigme
  228.    wt: 1:   chapitre 04 00 Les regles d implication
  229.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  230.    wt: 1:   chapitre 02 00 La Communication des idees
  231.    wt: 1:   chapitre 01 00 Introduction
  232.    wt: 1:   E Kirchoffs Second Law
  233.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  234.    wt: 1:   22 Student Centered Highschool Mathematics
  235.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  236.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  237.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  238.    wt: 1:   18 Primary School Mathematics
  239.    wt: 1:   12 Goals and Objectives For Mathematics
  240.    wt: 1:   Ages 12 to 14 Skills with take home value
  241.    wt: 1:   Ages 12 to 14 Geometry
  242.    wt: 1:   Ages 12 to 14 Arithmetic
  243.    wt: 1:   Ages 10 to 12 Geometry
  244.    wt: 1:   Ages 10 to 12 Arithmetic
  245.    wt: 1:   Ages 9 to 10
  246.    wt: 1:   Ages 8 to 9
  247.    wt: 1:   Ages 7 to 8
  248.    wt: 1:   Ages 6 to 7
  249.    wt: 1:   Ages 4 plus to 5 plus
  250.    wt: 1:   Ages 3 plus to 4 plus
  251.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  252.    wt: 1:   sign monoticity analysis example 4
  253.    wt: 1:   sign monoticity analysis example 3
  254.    wt: 1:   sign monoticity analysis example 2
  255.    wt: 1:   sign monoticity analysis example 1
  256.    wt: 1:   26 Function definitions done and coming
  257.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  258.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  259.    wt: 1:   23 Inverse Functions
  260.    wt: 1:   22 Square Root function graphically
  261.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  262.    wt: 1:   20 Interchanging coordinates a reflection
  263.    wt: 1:   19 Horizontal line rule and method
  264.    wt: 1:   18 Vertical Line Rule and Method
  265.    wt: 1:   17 Function maxima minima and their location
  266.    wt: 1:   16 Increasing or decreasing on intervals
  267.    wt: 1:   15 Sign analysis of functions
  268.    wt: 1:   14 Surjections Injections Bijections
  269.    wt: 1:   13 From one to one to many to one
  270.    wt: 1:   12 Function Domain Recognition Exercises
  271.    wt: 1:   11 Function Domain Range Source and Targets
  272.    wt: 1:   10 Interval Notation
  273.    wt: 1:   9 Set theory term relation possible origins
  274.    wt: 1:   8 Set view of relations and functions
  275.    wt: 1:   7 Functions with finite domains
  276.    wt: 1:   6 Set Existence Formation and Notation
  277.    wt: 1:   5 Function notation for geometric transformations
  278.    wt: 1:   3 Formula or function graphing exercise
  279.    wt: 1:   1 Geometric Introduction of Function Notation
  280.    wt: 1:   Introduction Reading Guide
  281.    wt: 1:   A Quadratics Summary
  282.    wt: 1:   10 quadratic exercises
  283.    wt: 1:   9 quadratics physical and further context
  284.    wt: 1:   8 quadratics backward use of various formulas
  285.    wt: 1:   7 quadratic formulla derivation
  286.    wt: 1:   6 quadratics numerical approach
  287.    wt: 1:   5 quadratics completing the square
  288.    wt: 1:   4 quadratics difference of two squares
  289.    wt: 1:   3 quadratics factoring by inspection
  290.    wt: 1:   2 quadratics graphing in general
  291.    wt: 1:   1 quadratics graphing exercises
  292.    wt: 1:   Quadratics in 10 steps
  293.    wt: 1:   11 Growth and Decay in Biology
  294.    wt: 1:   10 Exponential Growth and Decay Models
  295.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  296.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  297.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  298.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  299.    wt: 1:   5 Natural Logarithm Calculator Exercises
  300.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  301.    wt: 1:   2 Square Root Simplification a prequel
  302.    wt: 1:   1 Calculator Starter Exercises
  303.    wt: 1:   7 Links Lessons Elsewhere
  304.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  305.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  306.    wt: 1:   4 Polynomials Long division linear divisor
  307.    wt: 1:   3 Polynomials Multiplication Addition
  308.    wt: 1:   2 Column Multiplication Method
  309.    wt: 1:   1 Polynomials Distributive Law
  310.    wt: 1:   12 From Applied To Pure Mathematics
  311.    wt: 1:   7 Second Way to Calculate Products
  312.    wt: 1:   11 A Partial Summary
  313.    wt: 1:   5 Algebraic View of Slopes
  314.    wt: 1:   musings do not puiblish real numbers
  315.    wt: 1:   A Modular and Remainder Arithmetic
  316.    wt: 1:   A Signed Number Arithmetic Review
  317.    wt: 1:   26 More Less Greater Than Comparison
  318.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  319.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  320.    wt: 1:   23 Distributive Law Two Derivations
  321.    wt: 1:   22 Multiplication of Signed Numbers
  322.    wt: 1:   21 Addition of Multiples of a Single Vector
  323.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  324.    wt: 1:   19 Signed Multiples of Vectors
  325.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  326.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  327.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  328.    wt: 1:   15 Head to Tails in place Addition Associative
  329.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  330.    wt: 1:   13 Arrows and Vectors in a Plane
  331.    wt: 1:   12 Real Numbers Line Signed Coordinates
  332.    wt: 1:   11 Signed Number Addition and Addition Properties
  333.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  334.    wt: 1:   9 Division with Digits after Decimal Point
  335.    wt: 1:   8 Division and Mulplication of Compound Fractions
  336.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  337.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  338.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  339.    wt: 1:   4 Location of Point in Decimal Addition
  340.    wt: 1:   3 Location of Point in Decimal Multiplication
  341.    wt: 1:   2 Counting Digits in Decimal Multiplication
  342.    wt: 1:   1 Fractions with Finite Decimal Expansions
  343.    wt: 1:   E Long Division Methods more
  344.    wt: 1:   D Long Division Methods
  345.    wt: 1:   C Three Decimal Subtraction Methods
  346.    wt: 1:   B Decimal Comparison and Subtraction
  347.    wt: 1:   A Decimal Addition Columm Methods
  348.    wt: 1:   8 Column Multiplication Methods in General
  349.    wt: 1:   7 Decimals Multiplication Methods Examples
  350.    wt: 1:   6 Column Methods for Decimal Multiplication
  351.    wt: 1:   5 Distributive Law for Whole Numbers
  352.    wt: 1:   4 Commutative Law Groups Counting Form
  353.    wt: 1:   3 Multiplicative Counting Skills Principles
  354.    wt: 1:   2 Combing Counts Addition Skills and Principles
  355.    wt: 1:   1 The Counting Origins of Numbers
  356.    wt: 1:   5 Proportionality in Equivalent Fractions
  357.    wt: 1:   4 Rates Ratios and Proporitionality
  358.    wt: 1:   3 Proportionality Examples
  359.    wt: 1:   1 What is Proportionality
  360.    wt: 1:   6 Equations and Systems Equivalent or Implied
  361.    wt: 1:   4 Subtraction and Division Axioms
  362.    wt: 1:   3 Product Axioms Two Forms
  363.    wt: 1:   2 Addition and Multiplication Axioms
  364.    wt: 1:   1 Equivalent Computation Rules
  365.    wt: 1:   5 Greater More Less Than Signs in General
  366.    wt: 1:   4 Comparison of Negative Numbers
  367.    wt: 1:   3 More and Less Than with Unlike Signs
  368.    wt: 1:   2 More and Less Than for Counts and Measures
  369.    wt: 1:   1 Real Numbers Comparison
  370.    wt: 1:   16 Real Numbers Comparison
  371.    wt: 1:   15 Real Number Division
  372.    wt: 1:   14 Real Number Multiplication
  373.    wt: 1:   13 Real Number Subtraction
  374.    wt: 1:   12 Real Number Additive Inverses or Negatives
  375.    wt: 1:   11 Real Number Addition
  376.    wt: 1:   10 Real Number Lengths and Signs
  377.    wt: 1:   9 Coordinates for Regions in Space
  378.    wt: 1:   8 Coordinates for Maps and Planes
  379.    wt: 1:   7 Real Numbers as Line Cordinates
  380.    wt: 1:   6 Unsigned Real Numbers
  381.    wt: 1:   5 Rational Numbers More
  382.    wt: 1:   4 Rational Numbers
  383.    wt: 1:   3 Fractions
  384.    wt: 1:   2 Integers
  385.    wt: 1:   1 Whole and Natural Numbers
  386.    wt: 1:   5 Independent versus Dependent Variables
  387.    wt: 1:   4 Changing Letters
  388.    wt: 1:   3 Geometric Formulas and Function Notation
  389.    wt: 1:   2 Computation Rules Evaluation
  390.    wt: 1:   1 Formulas Dependence and Function Notation
  391.    wt: 1:   More Exercises
  392.    wt: 1:   Simple Exercises
  393.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  394.    wt: 1:   4 GE III Animated Examples
  395.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  396.    wt: 1:   3 GE III Equation Addition and Multiplication
  397.    wt: 1:   2 GE II Comparison
  398.    wt: 1:   1 GE Substitution four examples
  399.    wt: 1:   4 Solving a triangular system exercise
  400.    wt: 1:   3 Solving triangular system example
  401.    wt: 1:   2 Essentially one exercises three with solution
  402.    wt: 1:   1 Essentially One Unknown
  403.    wt: 1:   10 One Example
  404.    wt: 1:   9 Three Examples
  405.    wt: 1:   8 One Example
  406.    wt: 1:   7 Two Examples
  407.    wt: 1:   6 Three Examples
  408.    wt: 1:   5 Three Examples
  409.    wt: 1:   4 Two Examples
  410.    wt: 1:   3 Two Examples
  411.    wt: 1:   2 Three Examples
  412.    wt: 1:   Using Letters for Physical Quantities
  413.    wt: 1:   Formula Usage Show Work Format
  414.    wt: 1:   13 Naming Identifying Formulas with Words
  415.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  416.    wt: 1:   8 Compound Interest Formula Evaluation
  417.    wt: 1:   7 Compound Interest Formula Introduction
  418.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  419.    wt: 1:   4 Circle Area Formula Example
  420.    wt: 1:   3 Triangle Area Formula Example
  421.    wt: 1:   2 Another Rectangle Area Formula Example
  422.    wt: 1:   1 Written work formats for developing and showing skill
  423.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  424.    wt: 1:   9 Sets in Probability and Statistics
  425.    wt: 1:   8 Sets of Numbers
  426.    wt: 1:   7 Cautious or Safe Set Construction
  427.    wt: 1:   6 Power Set Notation
  428.    wt: 1:   5 Product Builder Notation
  429.    wt: 1:   4 Subset Builder Notation
  430.    wt: 1:   3 Counting with Sets etc
  431.    wt: 1:   2 Venn Diagrams
  432.    wt: 1:   1 Finite Sets
  433.    wt: 1:   6 Three Notions of What is a Variable
  434.    wt: 1:   5 Talking about Numbers and Quantities
  435.    wt: 1:   3 Adding Words To Arithmetic
  436.    wt: 1:   2 What is a Variable
  437.    wt: 1:   About Folder Contents
  438.    wt: 1:   13 Fraction Comparison Algebraic View
  439.    wt: 1:   11 Simplification an Algebraic View
  440.    wt: 1:   6 Multiplication Algebraically Take II
  441.    wt: 1:   7 Calculator Usage Notes and Cautions
  442.    wt: 1:   1. Explaining Addition Table
  443.    wt: 1:   Quick history of numbers and algebra
  444.    wt: 1:   6 How long is a million seconds
  445.    wt: 1:   Example 1. Area Between x and x squared
  446.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  447.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  448.    wt: 1:   Example 4 with x function of y
  449.    wt: 1:   Example 3
  450.    wt: 1:   Example 2
  451.    wt: 1:   Example 1
  452.    wt: 1:   Area Between Curves Lesson Take 2
  453.    wt: 1:   Area Between Curves Lesson Take 1
  454.    wt: 1:   Summary
  455.    wt: 1:   A Related Material in Volume 3
  456.    wt: 1:   A Related lessons in Volume 3
  457.    wt: 1:   4 Second derivative test exercise example
  458.    wt: 1:   3 Second derivative test
  459.    wt: 1:   2 Second derivative test prequel
  460.    wt: 1:   2 Algebraic codification
  461.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  462.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  463.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  464.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  465.    wt: 1:   G.5 Motions With Bounded Velocities
  466.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  467.    wt: 1:   G.3 Constant Difference Theorem Proof
  468.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  469.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  470.    wt: 1:   F.5b Extreme Value Theorem
  471.    wt: 1:   F.5a Equicontinuity Theorems
  472.    wt: 1:   F.4 Finite Covering Theorem
  473.    wt: 1:   F.3 Intermediate Value Theorem
  474.    wt: 1:   F.2 Closed Range Theorem
  475.    wt: 1:   F.1 What Functions are Continuous
  476.    wt: 1:   E1 Error Control Inequalities
  477.    wt: 1:   D2 Limits of Monotone Sequences
  478.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  479.    wt: 1:   C Triangle Inequalities
  480.    wt: 1:   B3 Bolzano Weierstrass Theorem
  481.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  482.    wt: 1:   PostScript For and Against Decimal Perspectives
  483.    wt: 1:   A1. Introduction
  484.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  485.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  486.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  487.    wt: 1:   Chapter 23 Links To Trigonometry
  488.    wt: 1:   Chapter 22 Complex Numbers
  489.    wt: 1:   Chapter 21 Arrow Addition
  490.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  491.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  492.    wt: 1:   Chapter 18. Slopes Areas Integration
  493.    wt: 1:   Chapter 17. Area Approximation
  494.    wt: 1:   Chapter 16. Velocity Approximation
  495.    wt: 1:   Chapter 15. Slope Approximation
  496.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  497.    wt: 1:   Chapter 13. Acceleration
  498.    wt: 1:   Chapter 12. Units and Slopes
  499.    wt: 1:   Chapter 11. Graphing Slope versus Position
  500.    wt: 1:   Chapter 10 Slopes and Units
  501.    wt: 1:   Chapter 9 About First Courses in Calculus
  502.    wt: 1:   Chapter 8. Slope Interpretation
  503.    wt: 1:   Chapter 7 Slopes and Velocity
  504.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  505.    wt: 1:   Chapter 5. Slope Sign Tests
  506.    wt: 1:   Chapter 4. More Slope Sign Analysis
  507.    wt: 1:   Chapter 3. Slope Sign Analysis
  508.    wt: 1:   Chapter 2. Slopes and Ski Trails
  509.    wt: 1:   Chapter 1.Introduction
  510.    wt: 1:   Fall 1983 Calculus Appetizer
  511.    wt: 1:   Foreword
  512.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  513.    wt: 1:   Postscript C Consistency as a Tool for Reason
  514.    wt: 1:   Postscript B More on Story Telling and Reason
  515.    wt: 1:   Postscript A Story Telling
  516.    wt: 1:   Chapter 24 Direct and Indirect Reason
  517.    wt: 1:   Chapter 23 Truth Tables
  518.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  519.    wt: 1:   Chapter 21 Occurrence Tables
  520.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  521.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  522.    wt: 1:   Chapter 18 Sense and Knowledge
  523.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  524.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  525.    wt: 1:   Chapter 15 Objective Processes
  526.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  527.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  528.    wt: 1:   Chapter 11 Accidental Patterns
  529.    wt: 1:   Chapter 10 Responsibility
  530.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  531.    wt: 1:   Chapter 8 Change of Language
  532.    wt: 1:   Chapter 7 Longer Chains of Reason
  533.    wt: 1:   Chapter 6 Chains of Reason
  534.    wt: 1:   Chapter 5 Deception
  535.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  536.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  537.    wt: 1:   Chapter 2 Skill Development
  538.    wt: 1:   Chapter 1 Introduction
  539.    wt: 1:   Three Remarks
  540.    wt: 1:   Foreword
  541.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  542.    wt: 1:   S Adding words to algebra
  543.    wt: 1:   R Why Learn Mathematics Skills
  544.    wt: 1:   O On Learning Mathematics and Science
  545.    wt: 1:   N Mathematics Prepare for College Studies
  546.    wt: 1:   7 Games and Activities for Instruction
  547.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  548.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  549.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  550.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  551.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  552.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  553.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  554.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  555.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  556.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  557.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  558.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  559.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  560.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  561.    wt: 1:   Which Way To Go

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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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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