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: 1:   LAMP Lean Applied Mathematics Program/
  7.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  8.    wt: 1:   Mathematics Education Essays/
  9.    wt: 1:   Volume 1A Regles et modeles/
  10.    wt: 1:   Mathematics Skills Year by Year/
  11.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  12.    wt: 1:   4 Functions/
  13.    wt: 1:   3 Quadratics Geometrically/
  14.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  15.    wt: 1:   1 Five Polynomial Operations/
  16.    wt: 1:   More Algebra/
  17.    wt: 1:   B Real Numbers Extrinsic Development/
  18.    wt: 1:   A Origins of Counting and Figuring Methods/
  19.    wt: 1:   9 Proportionality Backwards and Forwards/
  20.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  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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94 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: 1:   E LAMP Introduction Modern Mathematics
  6.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  7.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  8.    wt: 1:   Ramblings Introduction Algebra Essay
  9.    wt: 1:   Skills Chapter 3 Algebra
  10.    wt: 1:   11 pure mathematics
  11.    wt: 1:   4 algebra
  12.    wt: 1:   key notes and themes
  13.    wt: 1:   Mathematics Education Professors
  14.    wt: 1:   mathematics in context
  15.    wt: 1:   Secondary Three Mathematics
  16.    wt: 1:   Secondary Two Mathematics
  17.    wt: 1:   Secondary One Mathematics
  18.    wt: 1:   talk the algebra talk
  19.    wt: 1:   geometric implications for algebra
  20.    wt: 1:   teaching tutoring algebraic reason
  21.    wt: 1:   Lessening Algebra Difficulties
  22.    wt: 1:   the trouble with algebra
  23.    wt: 1:   three goals for Mathematics Education
  24.    wt: 1:   02 20 mathematics education references
  25.    wt: 1:   three aims for mathematics students
  26.    wt: 1:   mathematics instruction in general
  27.    wt: 1:   Education in mathematics science and technology
  28.    wt: 1:   three kinds of reason in mathematics
  29.    wt: 1:   words for mathematics instructor
  30.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  31.    wt: 1:   22 Student Centered Highschool Mathematics
  32.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  33.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  34.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  35.    wt: 1:   18 Primary School Mathematics
  36.    wt: 1:   16 Secondary Mathematics Tips
  37.    wt: 1:   12 Goals and Objectives For Mathematics
  38.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  39.    wt: 1:   4 Function notation in and beyond mathematics
  40.    wt: 1:   2 Algebraic use of function notation
  41.    wt: 1:   8 Notes for instructors or tutors
  42.    wt: 1:   Rewriting algebraic substitution as function substitutions
  43.    wt: 1:   12 From Applied To Pure Mathematics
  44.    wt: 1:   5 Algebraic View of Slopes
  45.    wt: 1:   3 Inequalities Algebraically
  46.    wt: 1:   2 Algebraic View
  47.    wt: 1:   5 Equality in Algebra
  48.    wt: 1:   6 Algebraic Solution Example
  49.    wt: 1:   5 Algebraic Solutions Introduction
  50.    wt: 1:   Skill Development Notes
  51.    wt: 1:   11 Volume of Sphere
  52.    wt: 1:   10 Volume of Pyramid
  53.    wt: 1:   9 Volume of Cone
  54.    wt: 1:   5 Box Volume Formula Example
  55.    wt: 1:   4 A Brief Story of numbers and algebra
  56.    wt: 1:   1 Three Skills For Algebra
  57.    wt: 1:   13 Fraction Comparison Algebraic View
  58.    wt: 1:   11 Simplification an Algebraic View
  59.    wt: 1:   6 Multiplication Algebraically Take II
  60.    wt: 1:   7 Calculator Usage Notes and Cautions
  61.    wt: 1:   1. Explaining Addition Table
  62.    wt: 1:   Quick history of numbers and algebra
  63.    wt: 1:   Example 2 volume of a cone
  64.    wt: 1:   Example 1 volume of a pyramid
  65.    wt: 1:   Volume of Solid by Cross Sections Lesson
  66.    wt: 1:   A Related Material in Volume 3
  67.    wt: 1:   A Related lessons in Volume 3
  68.    wt: 1:   2 Algebraic codification
  69.    wt: 1:   E2 Algebraic Properties of Limits
  70.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  71.    wt: 1:   Appendix E. How To Study Mathematics and Why
  72.    wt: 1:   Chapter 18. Rules for Algebra
  73.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  74.    wt: 1:   Chapter 8 Three Skills For Algebra
  75.    wt: 1:   Postscript B Mathematics Education References
  76.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  77.    wt: 1:   Chapter 3 Algebra Difficulties
  78.    wt: 1:   Chapter 2 For and Against Mathematics
  79.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  80.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  81.    wt: 1:   S Adding words to algebra
  82.    wt: 1:   R Why Learn Mathematics Skills
  83.    wt: 1:   O On Learning Mathematics and Science
  84.    wt: 1:   N Mathematics Prepare for College Studies
  85.    wt: 1:   Chapter 6 More Algebra and Geometry
  86.    wt: 1:   Chapter 3 Algebra Starter Lessons
  87.    wt: 1:   Helping the Blind in Logic and Mathematics
  88.    wt: 1:   Mathematics Education References
  89.    wt: 1:   Mathematics Education References
  90.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  91.    wt: 1:   Implementation Notes
  92.    wt: 1:   More Algebra and Slope based Calculus Preview
  93.    wt: 1:   Systematic Algebra Skill Development Missing Links
  94.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

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