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:   7 Axioms Logic and Equivalent Equations/
  5.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  6.    wt: 2:   Volume 2 Three Skills For Algebra/
  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:   6 More Less Greater Than Inequalities and Comparison/
  22.    wt: 1:   5 Real Numbers/
  23.    wt: 1:   4 Computation Rules and Function Notation/
  24.    wt: 1:   Step 4 Gaussian Elimination/
  25.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  26.    wt: 1:   Step 1 Stick diagram and fractions/
  27.    wt: 1:   3 Solving Linear Equations/
  28.    wt: 1:   2 Formula Forward Use Evaluation/
  29.    wt: 1:   1 Working With Sets/
  30.    wt: 1:   Algebra Starter Lessons/
  31.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  32.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  33.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  34.    wt: 1:   Volume 1A Pattern Based Reason/
  35.    wt: 1:   Volume 1 Elements of Reason/
  36.    wt: 1:   Mathematics 506 Lessons/
  37.    wt: 1:   Secondary Mathematics A Practical Approach/
  38.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  39.    wt: 1:   Mathematics Skill Development Framework/

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100 matches:

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

Extended Search

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