Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling. Avid readers in school and out may like Site Volumes.

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

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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36 matches:

  1.    wt: 6:   Volume 1A Pattern Based Reason/
  2.    wt: 2:   Volume 1A Regles et modeles/
  3.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  4.    wt: 2:   Volume 1 Elements of Reason/
  5.    wt: 1:   LAMP Lean Applied Mathematics Program/
  6.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  7.    wt: 1:   Mathematics Education Essays/
  8.    wt: 1:   Mathematics Skills Year by Year/
  9.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  10.    wt: 1:   10 Examples of Algebraic Reasoning/
  11.    wt: 1:   1 Working With Sets/
  12.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  13.    wt: 1:   11 Squares and Square Roots/
  14.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  15.    wt: 1:   9 Combinatorics Trees Tables and Products/
  16.    wt: 1:   8 Arithmetic with Signed Numbers/
  17.    wt: 1:   7 Arithmetic and Fractions with Units/
  18.    wt: 1:   6 Fractions and Ratios/
  19.    wt: 1:   5 Integers/
  20.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  21.    wt: 1:   3 Prime Factorization Skills/
  22.    wt: 1:   D Decimal Long Division Methods/
  23.    wt: 1:   C Decimal Multiplication Methods/
  24.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  25.    wt: 1:   A Decimal Counting and Adding Methods/
  26.    wt: 1:   2 Arithmetic with Decimals/
  27.    wt: 1:   1 Decimal Place Value/
  28.    wt: 1:   Arithmetic and Number Theory Skills/
  29.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  30.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  31.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  32.    wt: 1:   Volume 2 Three Skills For Algebra/
  33.    wt: 1:   Mathematics 506 Lessons/
  34.    wt: 1:   Secondary Mathematics A Practical Approach/
  35.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  36.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

86 matches:

  1.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  2.    wt: 2:   three kinds of reason in mathematics
  3.    wt: 2:   9 Set theory term relation possible origins
  4.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  5.    wt: 1:   E LAMP Introduction Modern Mathematics
  6.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  7.    wt: 1:   Ramblings Extrinsic numbers theory
  8.    wt: 1:   11 pure mathematics
  9.    wt: 1:   9 combinatorics probability sets
  10.    wt: 1:   three goals to set for students
  11.    wt: 1:   Mathematics Education Professors
  12.    wt: 1:   mathematics in context
  13.    wt: 1:   Secondary Three Mathematics
  14.    wt: 1:   Secondary Two Mathematics
  15.    wt: 1:   Secondary One Mathematics
  16.    wt: 1:   mathematics curriculum shifts
  17.    wt: 1:   teaching tutoring algebraic reason
  18.    wt: 1:   three goals for Mathematics Education
  19.    wt: 1:   04 29 New Mathematics Curriculum
  20.    wt: 1:   02 20 mathematics education references
  21.    wt: 1:   three aims for mathematics students
  22.    wt: 1:   Theory of Knowledge
  23.    wt: 1:   mathematics instruction in general
  24.    wt: 1:   Education in mathematics science and technology
  25.    wt: 1:   Different Kinds of Reasoning in maths
  26.    wt: 1:   need for a mixed mathematics curriculum
  27.    wt: 1:   Leaner mathematics curriculum
  28.    wt: 1:   words for mathematics instructor
  29.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  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:   8 Set view of relations and functions
  39.    wt: 1:   6 Set Existence Formation and Notation
  40.    wt: 1:   4 Function notation in and beyond mathematics
  41.    wt: 1:   12 From Applied To Pure Mathematics
  42.    wt: 1:   11 Volume of Sphere
  43.    wt: 1:   10 Volume of Pyramid
  44.    wt: 1:   9 Volume of Cone
  45.    wt: 1:   5 Box Volume Formula Example
  46.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  47.    wt: 1:   9 Sets in Probability and Statistics
  48.    wt: 1:   8 Sets of Numbers
  49.    wt: 1:   7 Cautious or Safe Set Construction
  50.    wt: 1:   6 Power Set Notation
  51.    wt: 1:   4 Subset Builder Notation
  52.    wt: 1:   3 Counting with Sets etc
  53.    wt: 1:   1 Finite Sets
  54.    wt: 1:   Example 2 volume of a cone
  55.    wt: 1:   Example 1 volume of a pyramid
  56.    wt: 1:   Volume of Solid by Cross Sections Lesson
  57.    wt: 1:   A Related Material in Volume 3
  58.    wt: 1:   A Related lessons in Volume 3
  59.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  60.    wt: 1:   Appendix E. How To Study Mathematics and Why
  61.    wt: 1:   Chapter 31 Direct and Indirect Reason
  62.    wt: 1:   Chapter 19. Functions and Sets
  63.    wt: 1:   Chapter 4 Longer Chains of Reason
  64.    wt: 1:   Chapter 3 Chains of Reason
  65.    wt: 1:   Postscript B Mathematics Education References
  66.    wt: 1:   Chapter 2 For and Against Mathematics
  67.    wt: 1:   Postscript C Consistency as a Tool for Reason
  68.    wt: 1:   Postscript B More on Story Telling and Reason
  69.    wt: 1:   Chapter 24 Direct and Indirect Reason
  70.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  71.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  72.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  73.    wt: 1:   Chapter 11 Accidental Patterns
  74.    wt: 1:   Chapter 7 Longer Chains of Reason
  75.    wt: 1:   Chapter 6 Chains of Reason
  76.    wt: 1:   R Why Learn Mathematics Skills
  77.    wt: 1:   O On Learning Mathematics and Science
  78.    wt: 1:   N Mathematics Prepare for College Studies
  79.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  80.    wt: 1:   Chapter 2 Why Sets
  81.    wt: 1:   Helping the Blind in Logic and Mathematics
  82.    wt: 1:   Mathematics Education References
  83.    wt: 1:   Mathematics Education References
  84.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  85.    wt: 1:   More Algebra and Slope based Calculus Preview
  86.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

599 matches:

  1.    wt: 7:   Postscript C Consistency as a Tool for Reason
  2.    wt: 7:   Postscript B More on Story Telling and Reason
  3.    wt: 7:   Chapter 24 Direct and Indirect Reason
  4.    wt: 7:   Chapter 16 Origins and Limitations of Rules and Patterns
  5.    wt: 7:   Chapter 14 Deductive and Empirical Views of Mathematics
  6.    wt: 7:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  7.    wt: 7:   Chapter 11 Accidental Patterns
  8.    wt: 7:   Chapter 7 Longer Chains of Reason
  9.    wt: 7:   Chapter 6 Chains of Reason
  10.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  11.    wt: 6:   Postscript A Story Telling
  12.    wt: 6:   Chapter 23 Truth Tables
  13.    wt: 6:   Chapter 22 Contrapositive and Vacuously True Implications
  14.    wt: 6:   Chapter 21 Occurrence Tables
  15.    wt: 6:   Chapter 20 Shorthand Symbols as Pronouns
  16.    wt: 6:   Chapter 19 What is in chapters 20 to 24
  17.    wt: 6:   Chapter 18 Sense and Knowledge
  18.    wt: 6:   Chapter 17 Objective Ways Trial and Error Discovery
  19.    wt: 6:   Chapter 15 Objective Processes
  20.    wt: 6:   Chapter 12 Islands and Divisions of Knowledge
  21.    wt: 6:   Chapter 10 Responsibility
  22.    wt: 6:   Chapter 9 What is in Chapters 10 to 18
  23.    wt: 6:   Chapter 8 Change of Language
  24.    wt: 6:   Chapter 5 Deception
  25.    wt: 6:   Chapter 4 Implication Rules Forwards and Backwards
  26.    wt: 6:   Chapter 3 What is in chapters 4 to 8
  27.    wt: 6:   Chapter 2 Skill Development
  28.    wt: 6:   Chapter 1 Introduction
  29.    wt: 6:   Three Remarks
  30.    wt: 6:   Foreword
  31.    wt: 5:   Chapter 6 Rule Based Reason in Mathematics
  32.    wt: 3:   three kinds of reason in mathematics
  33.    wt: 3:   chapitre 04 07 RepetablesEtReproductibles
  34.    wt: 3:   Postscript B Mathematics Education References
  35.    wt: 3:   Chapter 2 For and Against Mathematics
  36.    wt: 2:   E LAMP Introduction Modern Mathematics
  37.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  38.    wt: 2:   Ramblings Extrinsic numbers theory
  39.    wt: 2:   11 pure mathematics
  40.    wt: 2:   9 combinatorics probability sets
  41.    wt: 2:   three goals to set for students
  42.    wt: 2:   Mathematics Education Professors
  43.    wt: 2:   mathematics in context
  44.    wt: 2:   Secondary Three Mathematics
  45.    wt: 2:   Secondary Two Mathematics
  46.    wt: 2:   Secondary One Mathematics
  47.    wt: 2:   mathematics curriculum shifts
  48.    wt: 2:   teaching tutoring algebraic reason
  49.    wt: 2:   three goals for Mathematics Education
  50.    wt: 2:   04 29 New Mathematics Curriculum
  51.    wt: 2:   02 20 mathematics education references
  52.    wt: 2:   three aims for mathematics students
  53.    wt: 2:   Theory of Knowledge
  54.    wt: 2:   mathematics instruction in general
  55.    wt: 2:   Education in mathematics science and technology
  56.    wt: 2:   Different Kinds of Reasoning in maths
  57.    wt: 2:   need for a mixed mathematics curriculum
  58.    wt: 2:   Leaner mathematics curriculum
  59.    wt: 2:   words for mathematics instructor
  60.    wt: 2:   chapitre 12 00 les iles et division
  61.    wt: 2:   chapitre 07 01 principle D induction mathematique
  62.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  63.    wt: 2:   chapitre 06 00 Chaines de la raison
  64.    wt: 2:   chapitre 05 00 Deception
  65.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  66.    wt: 2:   chapitre 04 09 Regles accidentelles
  67.    wt: 2:   chapitre 04 08 Limitations et benefices
  68.    wt: 2:   chapitre 04 06 engagements
  69.    wt: 2:   chapitre 04 05 Implication versus suggestion
  70.    wt: 2:   chapitre 04 04 Parlons de la logique
  71.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  72.    wt: 2:   chapitre 04 02 Deuxieme enigme
  73.    wt: 2:   chapitre 04 01 Premiere enigme
  74.    wt: 2:   chapitre 04 00 Les regles d implication
  75.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  76.    wt: 2:   chapitre 02 00 La Communication des idees
  77.    wt: 2:   chapitre 01 00 Introduction
  78.    wt: 2:   9 Set theory term relation possible origins
  79.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  80.    wt: 2:   9 Sets in Probability and Statistics
  81.    wt: 2:   8 Sets of Numbers
  82.    wt: 2:   7 Cautious or Safe Set Construction
  83.    wt: 2:   6 Power Set Notation
  84.    wt: 2:   4 Subset Builder Notation
  85.    wt: 2:   3 Counting with Sets etc
  86.    wt: 2:   1 Finite Sets
  87.    wt: 2:   Example 2 volume of a cone
  88.    wt: 2:   Example 1 volume of a pyramid
  89.    wt: 2:   Volume of Solid by Cross Sections Lesson
  90.    wt: 2:   Area Between Curves Lesson Take 2
  91.    wt: 2:   A Related Material in Volume 3
  92.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  93.    wt: 2:   Appendix E. How To Study Mathematics and Why
  94.    wt: 2:   Chapter 31 Direct and Indirect Reason
  95.    wt: 2:   Chapter 19. Functions and Sets
  96.    wt: 2:   Chapter 4 Longer Chains of Reason
  97.    wt: 2:   Chapter 3 Chains of Reason
  98.    wt: 2:   Annotated Links to Material Elsehwere
  99.    wt: 2:   Postscript A Three Remarks
  100.    wt: 2:   Chapter 12 Four Phases
  101.    wt: 2:   Chapter 11 Elementary Instruction
  102.    wt: 2:   Chapter 10 Transition
  103.    wt: 2:   Chapter 9 The Two Ends
  104.    wt: 2:   Chapter 8 Modern Instruction
  105.    wt: 2:   Chapter 7 Two Treatments of Geometry
  106.    wt: 2:   Chapter 5 Four References
  107.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  108.    wt: 2:   Chapter 3 Algebra Difficulties
  109.    wt: 2:   Chapter 1 Introduction
  110.    wt: 2:   Foreword
  111.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  112.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  113.    wt: 2:   Chapter 2 Why Sets
  114.    wt: 2:   Helping the Blind in Logic and Mathematics
  115.    wt: 2:   Mathematics Education References
  116.    wt: 2:   Mathematics Education References
  117.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  118.    wt: 2:   More Algebra and Slope based Calculus Preview
  119.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  120.    wt: 1:   Appendix 2 primary school Arithmetic 01
  121.    wt: 1:   Appendix 1 primary and preschool mathematic
  122.    wt: 1:   K LAMP Musings Science Education
  123.    wt: 1:   J LAMP Introduction Extrinsic Origins
  124.    wt: 1:   I LAMP Introduction Study Habits
  125.    wt: 1:   H LAMP Introduction Instructional Concepts
  126.    wt: 1:   G LAMP Introduction Problem Solving Skills
  127.    wt: 1:   F LAMP Introduction Prerequisites
  128.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  129.    wt: 1:   A Introduction Objectives
  130.    wt: 1:   Skills Chapter 5 Calculus
  131.    wt: 1:   Skills Chapter 4 Logic
  132.    wt: 1:   Ramblings Introduction Algebra Essay
  133.    wt: 1:   Skills Chapter 3 Algebra
  134.    wt: 1:   Skills Chapter 2 Geometry
  135.    wt: 1:   Skills Chapter 1 Arithmetic
  136.    wt: 1:   Skills Chapter 0 Introduction
  137.    wt: 1:   10 statistics
  138.    wt: 1:   8 analytic geometry etc
  139.    wt: 1:   7 logic review and decimals an odd combination
  140.    wt: 1:   6 polynomials etc
  141.    wt: 1:   5 logarithms and exponentials etc
  142.    wt: 1:   4 algebra
  143.    wt: 1:   3 Euclidean Geometry Leanly
  144.    wt: 1:   2 arithmetic with signed numbers
  145.    wt: 1:   1 arithmetic with unsigned numbers
  146.    wt: 1:   What is POMME
  147.    wt: 1:   why bother
  148.    wt: 1:   which way to go
  149.    wt: 1:   website reviews
  150.    wt: 1:   Teach the teachers plus goals
  151.    wt: 1:   permissions for teachers
  152.    wt: 1:   Math Ed if it must be short make it lean effective
  153.    wt: 1:   Applied Maths Program14092009 POMME variant
  154.    wt: 1:   activities for students
  155.    wt: 1:   links Education Resources online
  156.    wt: 1:   site origins
  157.    wt: 1:   site eurekas
  158.    wt: 1:   About site lesson plans
  159.    wt: 1:   key notes and themes
  160.    wt: 1:   teacher certification
  161.    wt: 1:   modern education
  162.    wt: 1:   learning takes time
  163.    wt: 1:   grouping students according to ability
  164.    wt: 1:   what should be learnt and When
  165.    wt: 1:   Postscript 2007 01 10
  166.    wt: 1:   Education Reform Inconsistencies
  167.    wt: 1:   five decades make a difference
  168.    wt: 1:   Maps Plans Drawings
  169.    wt: 1:   how letters appear
  170.    wt: 1:   talk the algebra talk
  171.    wt: 1:   three difficulties
  172.    wt: 1:   teaching tips
  173.    wt: 1:   What to Tell Students
  174.    wt: 1:   geometric implications for algebra
  175.    wt: 1:   Lessening Algebra Difficulties
  176.    wt: 1:   the trouble with algebra
  177.    wt: 1:   05 13 OldSiteEntrancePage
  178.    wt: 1:   04 25 when to stop or suspend mathemat
  179.    wt: 1:   02 21 words for teachers
  180.    wt: 1:   standards for course material
  181.    wt: 1:   Operational Viewpoint to Value
  182.    wt: 1:   formal or informal peer review
  183.    wt: 1:   cultivating intelligence
  184.    wt: 1:   Four ways to improve education reform
  185.    wt: 1:   How to be a better instructor
  186.    wt: 1:   Motivation and Context Problem
  187.    wt: 1:   Prequel In For A Penny In For A Pound
  188.    wt: 1:   education an empirical art
  189.    wt: 1:   fairness and inductive principles for instruction
  190.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  191.    wt: 1:   22 Student Centered Highschool Mathematics
  192.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  193.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  194.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  195.    wt: 1:   18 Primary School Mathematics
  196.    wt: 1:   16 Secondary Mathematics Tips
  197.    wt: 1:   12 Goals and Objectives For Mathematics
  198.    wt: 1:   Ages 12 to 14 Skills with take home value
  199.    wt: 1:   Ages 12 to 14 Geometry
  200.    wt: 1:   Ages 12 to 14 Arithmetic
  201.    wt: 1:   Ages 10 to 12 Geometry
  202.    wt: 1:   Ages 10 to 12 Arithmetic
  203.    wt: 1:   Ages 9 to 10
  204.    wt: 1:   Ages 8 to 9
  205.    wt: 1:   Ages 7 to 8
  206.    wt: 1:   Ages 6 to 7
  207.    wt: 1:   Ages 4 plus to 5 plus
  208.    wt: 1:   Ages 3 plus to 4 plus
  209.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  210.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  211.    wt: 1:   8 Set view of relations and functions
  212.    wt: 1:   6 Set Existence Formation and Notation
  213.    wt: 1:   4 Function notation in and beyond mathematics
  214.    wt: 1:   12 From Applied To Pure Mathematics
  215.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  216.    wt: 1:   PS H Distributive Law For Complex Numbers
  217.    wt: 1:   PS G Rotation Distributes over Addition
  218.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  219.    wt: 1:   PS E Multiplication with Polar Coordinates
  220.    wt: 1:   PS D Addition with Cartesian Coordinates
  221.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  222.    wt: 1:   PS B Parallelogram Construction Methods
  223.    wt: 1:   PS A Kite Construction Methods
  224.    wt: 1:   21 Parallelograms
  225.    wt: 1:   19 Right Triangle Similarity
  226.    wt: 1:   18 Triangle Similarity Take 1
  227.    wt: 1:   17 Right Bisectors of Triangle Sides
  228.    wt: 1:   16 Angles Subtended By Chords and Diameters
  229.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  230.    wt: 1:   14 Parallel Lines Postulate
  231.    wt: 1:   13 Angle Side Angle Failure
  232.    wt: 1:   12 Side Angle Side Failure
  233.    wt: 1:   11 Triangle Construction Fails
  234.    wt: 1:   10 Dropping a perpendicular to line
  235.    wt: 1:   9 Construction of a right bisector
  236.    wt: 1:   8 Isoceles Triangles
  237.    wt: 1:   7 Angle Side Angle
  238.    wt: 1:   6 Ruler and compass Angle Bisection
  239.    wt: 1:   5 Side Angle Side
  240.    wt: 1:   4 Side Side Side
  241.    wt: 1:   3 Isometry of Triangles Congruence
  242.    wt: 1:   2 Correspondence between Triangles
  243.    wt: 1:   1 Initial Concepts and Terms
  244.    wt: 1:   Short Course on Euclidean Geometry
  245.    wt: 1:   5 Areas of Rectangles Revisited
  246.    wt: 1:   4 Fraction Operations Axiomatic Development
  247.    wt: 1:   3 Inequalities Algebraically
  248.    wt: 1:   2 Fraction Operations Physical Development
  249.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  250.    wt: 1:   11 Volume of Sphere
  251.    wt: 1:   10 Volume of Pyramid
  252.    wt: 1:   9 Volume of Cone
  253.    wt: 1:   5 Box Volume Formula Example
  254.    wt: 1:   5 Product Builder Notation
  255.    wt: 1:   2 Venn Diagrams
  256.    wt: 1:   arithmetic videos Real Player Format
  257.    wt: 1:   4 Greater More Less Than Signs in General
  258.    wt: 1:   3 Comparison of Negative Numbers
  259.    wt: 1:   2 More and Less Than with Unlike Signs
  260.    wt: 1:   1 More and Less Than for Counts and Measures
  261.    wt: 1:   5 Square Roots with primes more still
  262.    wt: 1:   4 Square Roots with primes more
  263.    wt: 1:   3 Properties of Square Roots with example
  264.    wt: 1:   2 Square Roots with Prime
  265.    wt: 1:   1 Squares and Square Roots Introduction
  266.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  267.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  268.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  269.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  270.    wt: 1:   13 GCD from given Prime Factorization
  271.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  272.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  273.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  274.    wt: 1:   8 GCD from Euclidean Algorithm
  275.    wt: 1:   7 GCD and LCM from prime factorization
  276.    wt: 1:   6 GCD from Prime
  277.    wt: 1:   5 Common Divisors 60 45 via Prime
  278.    wt: 1:   4 LCM of 8 and 10 via Prime
  279.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  280.    wt: 1:   2 Least Common Multiple LCM intro via list method
  281.    wt: 1:   1 Least Common Multiples LCM Introduction
  282.    wt: 1:   12 GCD 2700 288 via Prime
  283.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  284.    wt: 1:   4 Counting with Trees Product Rule Take I
  285.    wt: 1:   3 Counting with Tables and Trees II
  286.    wt: 1:   2 Counting with Tables and Trees I
  287.    wt: 1:   1 Counting and Counting Methods I
  288.    wt: 1:   11 What are real lengths and numbers
  289.    wt: 1:   10 dividing signed numbers
  290.    wt: 1:   9 subtracting signed numbers
  291.    wt: 1:   8 multiplying signed numbers
  292.    wt: 1:   7 negative and additive inverse
  293.    wt: 1:   6 adding signed numbers
  294.    wt: 1:   5 lengths and signs of numbers
  295.    wt: 1:   4 signed coordinates for regions in space
  296.    wt: 1:   3 signed coordinates for maps and planes
  297.    wt: 1:   2 signed and unsigned numbers as coordinates
  298.    wt: 1:   7 Converting or Changing Units
  299.    wt: 1:   6 Simplification of Fractions with Units
  300.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  301.    wt: 1:   4 Fractions with Units
  302.    wt: 1:   3 Multiplying Units and Numbers
  303.    wt: 1:   2 Equality and Units
  304.    wt: 1:   1 Addition and Subtraction with Units
  305.    wt: 1:   D Three Term Ratios
  306.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  307.    wt: 1:   B Fractions and Two Term Ratios
  308.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  309.    wt: 1:   22 Complex Compound Fractions
  310.    wt: 1:   21 Working With Signs
  311.    wt: 1:   21 Reciprocals for Fractions and Wholes
  312.    wt: 1:   20 Dividing Fractions the Why
  313.    wt: 1:   19 Dividing Fractions How TO
  314.    wt: 1:   18 Efficient Ways to Multiply
  315.    wt: 1:   17 Efficient Ways to Add and Subtract
  316.    wt: 1:   16 Addition Subtraction Comparision Compared
  317.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  318.    wt: 1:   14 Adding and Subtracting with Like Denominators
  319.    wt: 1:   13 Fraction Comparison Algebraic View
  320.    wt: 1:   12 Fraction Comparison
  321.    wt: 1:   11 Simplification an Algebraic View
  322.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  323.    wt: 1:   9 Improper Fractions and Mixed Numbers
  324.    wt: 1:   8 Numerals Fractionals Quantals Take II
  325.    wt: 1:   7 Numerals Fractionals Quantals
  326.    wt: 1:   6 Multiplication of Mixed Numbers
  327.    wt: 1:   6 Multiplication Algebraically Take II
  328.    wt: 1:   5 Equivalent Fractions
  329.    wt: 1:   4 Fraction Multiplication
  330.    wt: 1:   3 Unit fraction of a fraction
  331.    wt: 1:   2 Unit Fraction Multiplication
  332.    wt: 1:   1 What is a fraction Take II
  333.    wt: 1:   1 What is a fraction
  334.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  335.    wt: 1:   D Remainders Modulo 11 Pair Rule
  336.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  337.    wt: 1:   B Integer Long Division Multiple Choices
  338.    wt: 1:   A Associative Law Theorectical Note
  339.    wt: 1:   13 Subtraction with Additive Inverse
  340.    wt: 1:   12 Adding Integers More Examples
  341.    wt: 1:   11 Adding Integers Formulas and Examples
  342.    wt: 1:   10 Integer Multiplication Formulas
  343.    wt: 1:   9 Multiplying Integers
  344.    wt: 1:   8 Multiplication by Signed Numbers Integers
  345.    wt: 1:   7 Multiplication by Signs
  346.    wt: 1:   6 Multiplication by Natural Numbers
  347.    wt: 1:   5 Zero Movement and Additive Inverses
  348.    wt: 1:   4 Adding Movements wiht opposite directions
  349.    wt: 1:   3 Adding Movements with same direction
  350.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  351.    wt: 1:   1 Integers as Coordinates
  352.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  353.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  354.    wt: 1:   26 Divisibility by 2 3 5 Example
  355.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  356.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  357.    wt: 1:   23 Remainder Arithmetic Modulo 2
  358.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  359.    wt: 1:   21 Remainder Arithmetic Modulo 3
  360.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  361.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  362.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  363.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  364.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  365.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  366.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  367.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  368.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  369.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  370.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  371.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  372.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  373.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  374.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  375.    wt: 1:   5 Remainder Arithmetic Modulo 5
  376.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  377.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  378.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  379.    wt: 1:   1 Remainder Arithmetic Modulo 10
  380.    wt: 1:   20 Uniqueness of Prime Factorization
  381.    wt: 1:   19 video Prime Factorization Unique
  382.    wt: 1:   18 video Count Factors given Prime Factorization
  383.    wt: 1:   17 Identify and Count Factors using Primes
  384.    wt: 1:   16 video Factors of 980 using prime
  385.    wt: 1:   15 video Factors of 20 using Prime Factorization
  386.    wt: 1:   14 video Factors of 24 Take II
  387.    wt: 1:   13 video Factors of 24 using prime
  388.    wt: 1:   12 LCD GCD and LCM using Primes
  389.    wt: 1:   11 Efficient Square Rule Use
  390.    wt: 1:   10 video Prime Factorization upto 23 squared
  391.    wt: 1:   9 video Prime Factorization upto 19 squared
  392.    wt: 1:   8 video Prime Factorization upto 19
  393.    wt: 1:   7 Calculator Usage Notes and Cautions
  394.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  395.    wt: 1:   5 Prime Factorization and a Square Rule
  396.    wt: 1:   4 video Prime Factorization Introduction
  397.    wt: 1:   3 video Primes and Composites from 9 times table
  398.    wt: 1:   2 Prime and Composites less than 16
  399.    wt: 1:   1 video how Products are bigger than factor
  400.    wt: 1:   Long Division Backwards more
  401.    wt: 1:   Long Division Backward
  402.    wt: 1:   Division with Counts and Length
  403.    wt: 1:   Long Division forwards and backwards Example 3
  404.    wt: 1:   Long Division forwards and backwards Example 2
  405.    wt: 1:   Long Division forwards and backwards Example 1
  406.    wt: 1:   12 Why Long Division Works Take III
  407.    wt: 1:   11 Another Single Digit Divisor Example
  408.    wt: 1:   10 Division by Five Long and Short Ways
  409.    wt: 1:   9 Why Long Division Works Take II
  410.    wt: 1:   8 Correcting the Mistake
  411.    wt: 1:   7 Long Divison Mistake Catching
  412.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  413.    wt: 1:   5 Long Division Include Zeroes or not
  414.    wt: 1:   4 Division with 2 Digit Divsors
  415.    wt: 1:   3 Division Single Digit Divisor Example
  416.    wt: 1:   2 Division with Single Digit Divisors
  417.    wt: 1:   1 Divsion Physical Examples
  418.    wt: 1:   D Decimal Multiplication Methods Derived
  419.    wt: 1:   C Counting Areas with Powers of Ten
  420.    wt: 1:   B Powers of Ten
  421.    wt: 1:   A Elementary Basis for Multiplication Methods
  422.    wt: 1:   6 Multiplication Commutes Order Not Important
  423.    wt: 1:   5 Decimal Fraction Multiplication
  424.    wt: 1:   4 Two and Three Digit Multipliers
  425.    wt: 1:   3 More One Digit Multipliers
  426.    wt: 1:   2 One Digit Multipliers
  427.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  428.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  429.    wt: 1:   Video Power Notation in Decimal Expansion
  430.    wt: 1:   1 Why 3 times 5 gives 15
  431.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  432.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  433.    wt: 1:   Subtraction with J Conversions Example
  434.    wt: 1:   Subtraction Another Video Lesson
  435.    wt: 1:   9 22 Minute Subtraction Review Video
  436.    wt: 1:   8 Subtraction with Units of Measure
  437.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  438.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  439.    wt: 1:   5 A Tip for Efficent Subtraction
  440.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  441.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  442.    wt: 1:   2 Subtraction Easy Case Examples
  443.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  444.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  445.    wt: 1:   8 What skills and work habits to require
  446.    wt: 1:   7 Adding decimal fractions using decimal point
  447.    wt: 1:   6. Counting and adding units and mixed units
  448.    wt: 1:   5. How to add decimals C. Examples
  449.    wt: 1:   4. How to add with decimals B with conversions
  450.    wt: 1:   3. How to add with decimals A sans conversions
  451.    wt: 1:   2 Decimal Counting Practices
  452.    wt: 1:   1. Explaining Addition Table
  453.    wt: 1:   11 Place Value SI Standard International way
  454.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  455.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  456.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  457.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  458.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  459.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  460.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  461.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  462.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  463.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  464.    wt: 1:   Quick history of numbers and algebra
  465.    wt: 1:   Exact Arithmetic Wholes and Fractions
  466.    wt: 1:   Formula Evaluation how to show work
  467.    wt: 1:   Expression Evaluation how to show work
  468.    wt: 1:   The 20 Times Table
  469.    wt: 1:   The 12 Times Table Visually
  470.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  471.    wt: 1:   About folder contents
  472.    wt: 1:   Example 1. Area Between x and x squared
  473.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  474.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  475.    wt: 1:   Example 4 with x function of y
  476.    wt: 1:   Example 3
  477.    wt: 1:   Example 2
  478.    wt: 1:   Example 1
  479.    wt: 1:   Area Between Curves Lesson Take 1
  480.    wt: 1:   Summary
  481.    wt: 1:   A Related lessons in Volume 3
  482.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  483.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  484.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  485.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  486.    wt: 1:   G.5 Motions With Bounded Velocities
  487.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  488.    wt: 1:   G.3 Constant Difference Theorem Proof
  489.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  490.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  491.    wt: 1:   F.5b Extreme Value Theorem
  492.    wt: 1:   F.5a Equicontinuity Theorems
  493.    wt: 1:   F.4 Finite Covering Theorem
  494.    wt: 1:   F.3 Intermediate Value Theorem
  495.    wt: 1:   F.2 Closed Range Theorem
  496.    wt: 1:   F.1 What Functions are Continuous
  497.    wt: 1:   E2 Algebraic Properties of Limits
  498.    wt: 1:   E1 Error Control Inequalities
  499.    wt: 1:   D2 Limits of Monotone Sequences
  500.    wt: 1:   C Triangle Inequalities
  501.    wt: 1:   B3 Bolzano Weierstrass Theorem
  502.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  503.    wt: 1:   PostScript For and Against Decimal Perspectives
  504.    wt: 1:   A1. Introduction
  505.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  506.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  507.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  508.    wt: 1:   Chapter 23 Links To Trigonometry
  509.    wt: 1:   Chapter 22 Complex Numbers
  510.    wt: 1:   Chapter 21 Arrow Addition
  511.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  512.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  513.    wt: 1:   Chapter 18. Slopes Areas Integration
  514.    wt: 1:   Chapter 17. Area Approximation
  515.    wt: 1:   Chapter 16. Velocity Approximation
  516.    wt: 1:   Chapter 15. Slope Approximation
  517.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  518.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  519.    wt: 1:   Chapter 13. Acceleration
  520.    wt: 1:   Chapter 12. Units and Slopes
  521.    wt: 1:   Chapter 11. Graphing Slope versus Position
  522.    wt: 1:   Chapter 10 Slopes and Units
  523.    wt: 1:   Chapter 9 About First Courses in Calculus
  524.    wt: 1:   Chapter 8. Slope Interpretation
  525.    wt: 1:   Chapter 7 Slopes and Velocity
  526.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  527.    wt: 1:   Chapter 5. Slope Sign Tests
  528.    wt: 1:   Chapter 4. More Slope Sign Analysis
  529.    wt: 1:   Chapter 3. Slope Sign Analysis
  530.    wt: 1:   Chapter 2. Slopes and Ski Trails
  531.    wt: 1:   Chapter 1.Introduction
  532.    wt: 1:   Fall 1983 Calculus Appetizer
  533.    wt: 1:   Foreword
  534.    wt: 1:   Postscript More on Better Performance
  535.    wt: 1:   Postscript For Better Performance
  536.    wt: 1:   Appendix D. What to do in School and Why
  537.    wt: 1:   Appendix C. How to Read
  538.    wt: 1:   Appendix B. How To Learn
  539.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  540.    wt: 1:   Chapter 30 Truth Tables
  541.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  542.    wt: 1:   Chapter 28 Occurrence Tables
  543.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  544.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  545.    wt: 1:   Chapter 25. Mathematical Induction Examples
  546.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  547.    wt: 1:   Chapter 23. Notation For Sums
  548.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  549.    wt: 1:   Chapter 21. Third Reading Guide
  550.    wt: 1:   Chapter 20. Degrees and Radians
  551.    wt: 1:   Chapter 18. Rules for Algebra
  552.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  553.    wt: 1:   Chapter 16. Painless Theorem Proving
  554.    wt: 1:   Chapter 15. Solving Linear Equations
  555.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  556.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  557.    wt: 1:   Chapter 13. Second Reading Guide
  558.    wt: 1:   Chapter 12. Shorthand Usage Guide
  559.    wt: 1:   Chapter 11. Why Shorthand
  560.    wt: 1:   Chapter 10 Describing and Changing Calculations
  561.    wt: 1:   Postscript What is a Variable
  562.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  563.    wt: 1:   Chapter 8 Three Skills For Algebra
  564.    wt: 1:   Solutions For Arithmetic Exercises
  565.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  566.    wt: 1:   Chapter 6 Change of Language
  567.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  568.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  569.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  570.    wt: 1:   Foreword
  571.    wt: 1:   R Why Learn Mathematics Skills
  572.    wt: 1:   O On Learning Mathematics and Science
  573.    wt: 1:   N Mathematics Prepare for College Studies
  574.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  575.    wt: 1:   Chapter 8 Skipped Topics and Why
  576.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  577.    wt: 1:   Chapter 6 More Algebra and Geometry
  578.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  579.    wt: 1:   Chapter 3 Algebra Starter Lessons
  580.    wt: 1:   Chapter 1 Arithmetic
  581.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  582.    wt: 1:   7 Games and Activities for Instruction
  583.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  584.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  585.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  586.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  587.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  588.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  589.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  590.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  591.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  592.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  593.    wt: 1:   Implementation Notes
  594.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  595.    wt: 1:   Systematic Algebra Skill Development Missing Links
  596.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  597.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  598.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  599.    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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