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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22 matches:

  1.    wt: 6:   Volume 1B Mathematics Curriculum Notes/
  2.    wt: 2:   D Decimal Long Division Methods/
  3.    wt: 2:   C Decimal Multiplication Methods/
  4.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  5.    wt: 2:   A Decimal Counting and Adding Methods/
  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:   2 Arithmetic with Decimals/
  12.    wt: 1:   1 Decimal Place Value/
  13.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  14.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  15.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  16.    wt: 1:   Volume 2 Three Skills For Algebra/
  17.    wt: 1:   Volume 1A Pattern Based Reason/
  18.    wt: 1:   Volume 1 Elements of Reason/
  19.    wt: 1:   Mathematics 506 Lessons/
  20.    wt: 1:   Secondary Mathematics A Practical Approach/
  21.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  22.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

100 matches:

  1.    wt: 2:   mathematics curriculum shifts
  2.    wt: 2:   04 29 New Mathematics Curriculum
  3.    wt: 2:   need for a mixed mathematics curriculum
  4.    wt: 2:   Leaner mathematics curriculum
  5.    wt: 2:   7 Adding decimal fractions using decimal point
  6.    wt: 1:   E LAMP Introduction Modern Mathematics
  7.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  8.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  9.    wt: 1:   11 pure mathematics
  10.    wt: 1:   7 logic review and decimals an odd combination
  11.    wt: 1:   key notes and themes
  12.    wt: 1:   Mathematics Education Professors
  13.    wt: 1:   mathematics in context
  14.    wt: 1:   Secondary Three Mathematics
  15.    wt: 1:   Secondary Two Mathematics
  16.    wt: 1:   Secondary One Mathematics
  17.    wt: 1:   three goals for Mathematics Education
  18.    wt: 1:   02 20 mathematics education references
  19.    wt: 1:   three aims for mathematics students
  20.    wt: 1:   mathematics instruction in general
  21.    wt: 1:   Education in mathematics science and technology
  22.    wt: 1:   three kinds of reason in mathematics
  23.    wt: 1:   words for mathematics instructor
  24.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  25.    wt: 1:   22 Student Centered Highschool Mathematics
  26.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  27.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  28.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  29.    wt: 1:   18 Primary School Mathematics
  30.    wt: 1:   16 Secondary Mathematics Tips
  31.    wt: 1:   12 Goals and Objectives For Mathematics
  32.    wt: 1:   4 Function notation in and beyond mathematics
  33.    wt: 1:   8 Notes for instructors or tutors
  34.    wt: 1:   12 From Applied To Pure Mathematics
  35.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  36.    wt: 1:   9 Division with Digits after Decimal Point
  37.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  38.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  39.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  40.    wt: 1:   4 Location of Point in Decimal Addition
  41.    wt: 1:   3 Location of Point in Decimal Multiplication
  42.    wt: 1:   2 Counting Digits in Decimal Multiplication
  43.    wt: 1:   1 Fractions with Finite Decimal Expansions
  44.    wt: 1:   C Three Decimal Subtraction Methods
  45.    wt: 1:   B Decimal Comparison and Subtraction
  46.    wt: 1:   A Decimal Addition Columm Methods
  47.    wt: 1:   7 Decimals Multiplication Methods Examples
  48.    wt: 1:   6 Column Methods for Decimal Multiplication
  49.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  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:   A Decimals Modular and Remainder Arithmetic
  56.    wt: 1:   7 Calculator Usage Notes and Cautions
  57.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  58.    wt: 1:   D Decimal Multiplication Methods Derived
  59.    wt: 1:   5 Decimal Fraction Multiplication
  60.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  61.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  62.    wt: 1:   Video Power Notation in Decimal Expansion
  63.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  64.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  65.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  66.    wt: 1:   5. How to add decimals C. Examples
  67.    wt: 1:   4. How to add with decimals B with conversions
  68.    wt: 1:   3. How to add with decimals A sans conversions
  69.    wt: 1:   2 Decimal Counting Practices
  70.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  71.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  72.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  73.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  74.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  75.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  76.    wt: 1:   Example 2 volume of a cone
  77.    wt: 1:   Example 1 volume of a pyramid
  78.    wt: 1:   Volume of Solid by Cross Sections Lesson
  79.    wt: 1:   A Related Material in Volume 3
  80.    wt: 1:   A Related lessons in Volume 3
  81.    wt: 1:   3 Decimal insights for limits continuity convergence
  82.    wt: 1:   PostScript For and Against Decimal Perspectives
  83.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  84.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  85.    wt: 1:   Appendix E. How To Study Mathematics and Why
  86.    wt: 1:   Postscript B Mathematics Education References
  87.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  88.    wt: 1:   Chapter 2 For and Against Mathematics
  89.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  90.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  91.    wt: 1:   R Why Learn Mathematics Skills
  92.    wt: 1:   O On Learning Mathematics and Science
  93.    wt: 1:   N Mathematics Prepare for College Studies
  94.    wt: 1:   Helping the Blind in Logic and Mathematics
  95.    wt: 1:   Mathematics Education References
  96.    wt: 1:   Mathematics Education References
  97.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  98.    wt: 1:   Implementation Notes
  99.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  100.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

419 matches:

  1.    wt: 7:   Postscript B Mathematics Education References
  2.    wt: 7:   Chapter 6 Rule Based Reason in Mathematics
  3.    wt: 7:   Chapter 2 For and Against Mathematics
  4.    wt: 6:   Annotated Links to Material Elsehwere
  5.    wt: 6:   Postscript A Three Remarks
  6.    wt: 6:   Chapter 12 Four Phases
  7.    wt: 6:   Chapter 11 Elementary Instruction
  8.    wt: 6:   Chapter 10 Transition
  9.    wt: 6:   Chapter 9 The Two Ends
  10.    wt: 6:   Chapter 8 Modern Instruction
  11.    wt: 6:   Chapter 7 Two Treatments of Geometry
  12.    wt: 6:   Chapter 5 Four References
  13.    wt: 6:   Chapter 4 Complex Numbers and Why Slopes
  14.    wt: 6:   Chapter 3 Algebra Difficulties
  15.    wt: 6:   Chapter 1 Introduction
  16.    wt: 6:   Foreword
  17.    wt: 4:   7 Adding decimal fractions using decimal point
  18.    wt: 3:   mathematics curriculum shifts
  19.    wt: 3:   04 29 New Mathematics Curriculum
  20.    wt: 3:   need for a mixed mathematics curriculum
  21.    wt: 3:   Leaner mathematics curriculum
  22.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  23.    wt: 3:   D Decimal Multiplication Methods Derived
  24.    wt: 3:   5 Decimal Fraction Multiplication
  25.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  26.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  27.    wt: 3:   Video Power Notation in Decimal Expansion
  28.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  29.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  30.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  31.    wt: 3:   5. How to add decimals C. Examples
  32.    wt: 3:   4. How to add with decimals B with conversions
  33.    wt: 3:   3. How to add with decimals A sans conversions
  34.    wt: 3:   2 Decimal Counting Practices
  35.    wt: 2:   E LAMP Introduction Modern Mathematics
  36.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  37.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  38.    wt: 2:   11 pure mathematics
  39.    wt: 2:   7 logic review and decimals an odd combination
  40.    wt: 2:   key notes and themes
  41.    wt: 2:   Mathematics Education Professors
  42.    wt: 2:   mathematics in context
  43.    wt: 2:   Secondary Three Mathematics
  44.    wt: 2:   Secondary Two Mathematics
  45.    wt: 2:   Secondary One Mathematics
  46.    wt: 2:   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:   Long Division Backwards more
  54.    wt: 2:   Long Division Backward
  55.    wt: 2:   Division with Counts and Length
  56.    wt: 2:   Long Division forwards and backwards Example 3
  57.    wt: 2:   Long Division forwards and backwards Example 2
  58.    wt: 2:   Long Division forwards and backwards Example 1
  59.    wt: 2:   12 Why Long Division Works Take III
  60.    wt: 2:   11 Another Single Digit Divisor Example
  61.    wt: 2:   10 Division by Five Long and Short Ways
  62.    wt: 2:   9 Why Long Division Works Take II
  63.    wt: 2:   8 Correcting the Mistake
  64.    wt: 2:   7 Long Divison Mistake Catching
  65.    wt: 2:   5 Long Division Include Zeroes or not
  66.    wt: 2:   4 Division with 2 Digit Divsors
  67.    wt: 2:   3 Division Single Digit Divisor Example
  68.    wt: 2:   2 Division with Single Digit Divisors
  69.    wt: 2:   1 Divsion Physical Examples
  70.    wt: 2:   C Counting Areas with Powers of Ten
  71.    wt: 2:   B Powers of Ten
  72.    wt: 2:   A Elementary Basis for Multiplication Methods
  73.    wt: 2:   6 Multiplication Commutes Order Not Important
  74.    wt: 2:   4 Two and Three Digit Multipliers
  75.    wt: 2:   3 More One Digit Multipliers
  76.    wt: 2:   2 One Digit Multipliers
  77.    wt: 2:   1 Why 3 times 5 gives 15
  78.    wt: 2:   Subtraction with J Conversions Example
  79.    wt: 2:   Subtraction Another Video Lesson
  80.    wt: 2:   9 22 Minute Subtraction Review Video
  81.    wt: 2:   8 Subtraction with Units of Measure
  82.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  83.    wt: 2:   5 A Tip for Efficent Subtraction
  84.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  85.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  86.    wt: 2:   2 Subtraction Easy Case Examples
  87.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  88.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  89.    wt: 2:   8 What skills and work habits to require
  90.    wt: 2:   6. Counting and adding units and mixed units
  91.    wt: 2:   1. Explaining Addition Table
  92.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  93.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  94.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  95.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  96.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  97.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  98.    wt: 2:   Example 2 volume of a cone
  99.    wt: 2:   Example 1 volume of a pyramid
  100.    wt: 2:   Volume of Solid by Cross Sections Lesson
  101.    wt: 2:   PostScript For and Against Decimal Perspectives
  102.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  103.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  104.    wt: 2:   Appendix E. How To Study Mathematics and Why
  105.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  106.    wt: 2:   Helping the Blind in Logic and Mathematics
  107.    wt: 2:   Mathematics Education References
  108.    wt: 2:   Mathematics Education References
  109.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  110.    wt: 2:   Implementation Notes
  111.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  112.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  113.    wt: 1:   Appendix 2 primary school Arithmetic 01
  114.    wt: 1:   Appendix 1 primary and preschool mathematic
  115.    wt: 1:   K LAMP Musings Science Education
  116.    wt: 1:   J LAMP Introduction Extrinsic Origins
  117.    wt: 1:   I LAMP Introduction Study Habits
  118.    wt: 1:   H LAMP Introduction Instructional Concepts
  119.    wt: 1:   G LAMP Introduction Problem Solving Skills
  120.    wt: 1:   F LAMP Introduction Prerequisites
  121.    wt: 1:   A Introduction Objectives
  122.    wt: 1:   Skills Chapter 5 Calculus
  123.    wt: 1:   Skills Chapter 4 Logic
  124.    wt: 1:   Ramblings Extrinsic numbers theory
  125.    wt: 1:   Ramblings Introduction Algebra Essay
  126.    wt: 1:   Skills Chapter 3 Algebra
  127.    wt: 1:   Skills Chapter 2 Geometry
  128.    wt: 1:   Skills Chapter 1 Arithmetic
  129.    wt: 1:   Skills Chapter 0 Introduction
  130.    wt: 1:   10 statistics
  131.    wt: 1:   9 combinatorics probability sets
  132.    wt: 1:   8 analytic geometry etc
  133.    wt: 1:   6 polynomials etc
  134.    wt: 1:   5 logarithms and exponentials etc
  135.    wt: 1:   4 algebra
  136.    wt: 1:   3 Euclidean Geometry Leanly
  137.    wt: 1:   2 arithmetic with signed numbers
  138.    wt: 1:   1 arithmetic with unsigned numbers
  139.    wt: 1:   What is POMME
  140.    wt: 1:   why bother
  141.    wt: 1:   which way to go
  142.    wt: 1:   website reviews
  143.    wt: 1:   three goals to set for students
  144.    wt: 1:   Teach the teachers plus goals
  145.    wt: 1:   permissions for teachers
  146.    wt: 1:   Math Ed if it must be short make it lean effective
  147.    wt: 1:   Applied Maths Program14092009 POMME variant
  148.    wt: 1:   activities for students
  149.    wt: 1:   links Education Resources online
  150.    wt: 1:   site origins
  151.    wt: 1:   site eurekas
  152.    wt: 1:   About site lesson plans
  153.    wt: 1:   teacher certification
  154.    wt: 1:   modern education
  155.    wt: 1:   learning takes time
  156.    wt: 1:   grouping students according to ability
  157.    wt: 1:   what should be learnt and When
  158.    wt: 1:   Postscript 2007 01 10
  159.    wt: 1:   Education Reform Inconsistencies
  160.    wt: 1:   five decades make a difference
  161.    wt: 1:   Maps Plans Drawings
  162.    wt: 1:   how letters appear
  163.    wt: 1:   talk the algebra talk
  164.    wt: 1:   three difficulties
  165.    wt: 1:   teaching tips
  166.    wt: 1:   What to Tell Students
  167.    wt: 1:   geometric implications for algebra
  168.    wt: 1:   teaching tutoring algebraic reason
  169.    wt: 1:   Lessening Algebra Difficulties
  170.    wt: 1:   the trouble with algebra
  171.    wt: 1:   05 13 OldSiteEntrancePage
  172.    wt: 1:   04 25 when to stop or suspend mathemat
  173.    wt: 1:   02 21 words for teachers
  174.    wt: 1:   standards for course material
  175.    wt: 1:   Operational Viewpoint to Value
  176.    wt: 1:   formal or informal peer review
  177.    wt: 1:   Theory of Knowledge
  178.    wt: 1:   Different Kinds of Reasoning in maths
  179.    wt: 1:   cultivating intelligence
  180.    wt: 1:   Four ways to improve education reform
  181.    wt: 1:   How to be a better instructor
  182.    wt: 1:   Motivation and Context Problem
  183.    wt: 1:   Prequel In For A Penny In For A Pound
  184.    wt: 1:   education an empirical art
  185.    wt: 1:   fairness and inductive principles for instruction
  186.    wt: 1:   chapitre 12 00 les iles et division
  187.    wt: 1:   chapitre 07 01 principle D induction mathematique
  188.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  189.    wt: 1:   chapitre 06 00 Chaines de la raison
  190.    wt: 1:   chapitre 05 00 Deception
  191.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  192.    wt: 1:   chapitre 04 09 Regles accidentelles
  193.    wt: 1:   chapitre 04 08 Limitations et benefices
  194.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  195.    wt: 1:   chapitre 04 06 engagements
  196.    wt: 1:   chapitre 04 05 Implication versus suggestion
  197.    wt: 1:   chapitre 04 04 Parlons de la logique
  198.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  199.    wt: 1:   chapitre 04 02 Deuxieme enigme
  200.    wt: 1:   chapitre 04 01 Premiere enigme
  201.    wt: 1:   chapitre 04 00 Les regles d implication
  202.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  203.    wt: 1:   chapitre 02 00 La Communication des idees
  204.    wt: 1:   chapitre 01 00 Introduction
  205.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  206.    wt: 1:   22 Student Centered Highschool Mathematics
  207.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  208.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  209.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  210.    wt: 1:   18 Primary School Mathematics
  211.    wt: 1:   16 Secondary Mathematics Tips
  212.    wt: 1:   12 Goals and Objectives For Mathematics
  213.    wt: 1:   Ages 12 to 14 Skills with take home value
  214.    wt: 1:   Ages 12 to 14 Geometry
  215.    wt: 1:   Ages 12 to 14 Arithmetic
  216.    wt: 1:   Ages 10 to 12 Geometry
  217.    wt: 1:   Ages 10 to 12 Arithmetic
  218.    wt: 1:   Ages 9 to 10
  219.    wt: 1:   Ages 8 to 9
  220.    wt: 1:   Ages 7 to 8
  221.    wt: 1:   Ages 6 to 7
  222.    wt: 1:   Ages 4 plus to 5 plus
  223.    wt: 1:   Ages 3 plus to 4 plus
  224.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  225.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  226.    wt: 1:   4 Function notation in and beyond mathematics
  227.    wt: 1:   8 Notes for instructors or tutors
  228.    wt: 1:   12 From Applied To Pure Mathematics
  229.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  230.    wt: 1:   9 Division with Digits after Decimal Point
  231.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  232.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  233.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  234.    wt: 1:   4 Location of Point in Decimal Addition
  235.    wt: 1:   3 Location of Point in Decimal Multiplication
  236.    wt: 1:   2 Counting Digits in Decimal Multiplication
  237.    wt: 1:   1 Fractions with Finite Decimal Expansions
  238.    wt: 1:   C Three Decimal Subtraction Methods
  239.    wt: 1:   B Decimal Comparison and Subtraction
  240.    wt: 1:   A Decimal Addition Columm Methods
  241.    wt: 1:   7 Decimals Multiplication Methods Examples
  242.    wt: 1:   6 Column Methods for Decimal Multiplication
  243.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  244.    wt: 1:   Skill Development Notes
  245.    wt: 1:   11 Volume of Sphere
  246.    wt: 1:   10 Volume of Pyramid
  247.    wt: 1:   9 Volume of Cone
  248.    wt: 1:   5 Box Volume Formula Example
  249.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  250.    wt: 1:   7 Calculator Usage Notes and Cautions
  251.    wt: 1:   11 Place Value SI Standard International way
  252.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  253.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  254.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  255.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  256.    wt: 1:   Example 1. Area Between x and x squared
  257.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  258.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  259.    wt: 1:   Example 4 with x function of y
  260.    wt: 1:   Example 3
  261.    wt: 1:   Example 2
  262.    wt: 1:   Example 1
  263.    wt: 1:   Area Between Curves Lesson Take 2
  264.    wt: 1:   Area Between Curves Lesson Take 1
  265.    wt: 1:   Summary
  266.    wt: 1:   A Related Material in Volume 3
  267.    wt: 1:   A Related lessons in Volume 3
  268.    wt: 1:   3 Decimal insights for limits continuity convergence
  269.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  270.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  271.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  272.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  273.    wt: 1:   G.5 Motions With Bounded Velocities
  274.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  275.    wt: 1:   G.3 Constant Difference Theorem Proof
  276.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  277.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  278.    wt: 1:   F.5b Extreme Value Theorem
  279.    wt: 1:   F.5a Equicontinuity Theorems
  280.    wt: 1:   F.4 Finite Covering Theorem
  281.    wt: 1:   F.3 Intermediate Value Theorem
  282.    wt: 1:   F.2 Closed Range Theorem
  283.    wt: 1:   F.1 What Functions are Continuous
  284.    wt: 1:   E2 Algebraic Properties of Limits
  285.    wt: 1:   E1 Error Control Inequalities
  286.    wt: 1:   D2 Limits of Monotone Sequences
  287.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  288.    wt: 1:   C Triangle Inequalities
  289.    wt: 1:   B3 Bolzano Weierstrass Theorem
  290.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  291.    wt: 1:   A1. Introduction
  292.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  293.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  294.    wt: 1:   Chapter 23 Links To Trigonometry
  295.    wt: 1:   Chapter 22 Complex Numbers
  296.    wt: 1:   Chapter 21 Arrow Addition
  297.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  298.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  299.    wt: 1:   Chapter 18. Slopes Areas Integration
  300.    wt: 1:   Chapter 17. Area Approximation
  301.    wt: 1:   Chapter 16. Velocity Approximation
  302.    wt: 1:   Chapter 15. Slope Approximation
  303.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  304.    wt: 1:   Chapter 13. Acceleration
  305.    wt: 1:   Chapter 12. Units and Slopes
  306.    wt: 1:   Chapter 11. Graphing Slope versus Position
  307.    wt: 1:   Chapter 10 Slopes and Units
  308.    wt: 1:   Chapter 9 About First Courses in Calculus
  309.    wt: 1:   Chapter 8. Slope Interpretation
  310.    wt: 1:   Chapter 7 Slopes and Velocity
  311.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  312.    wt: 1:   Chapter 5. Slope Sign Tests
  313.    wt: 1:   Chapter 4. More Slope Sign Analysis
  314.    wt: 1:   Chapter 3. Slope Sign Analysis
  315.    wt: 1:   Chapter 2. Slopes and Ski Trails
  316.    wt: 1:   Chapter 1.Introduction
  317.    wt: 1:   Fall 1983 Calculus Appetizer
  318.    wt: 1:   Foreword
  319.    wt: 1:   Postscript More on Better Performance
  320.    wt: 1:   Postscript For Better Performance
  321.    wt: 1:   Appendix D. What to do in School and Why
  322.    wt: 1:   Appendix C. How to Read
  323.    wt: 1:   Appendix B. How To Learn
  324.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  325.    wt: 1:   Chapter 31 Direct and Indirect Reason
  326.    wt: 1:   Chapter 30 Truth Tables
  327.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  328.    wt: 1:   Chapter 28 Occurrence Tables
  329.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  330.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  331.    wt: 1:   Chapter 25. Mathematical Induction Examples
  332.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  333.    wt: 1:   Chapter 23. Notation For Sums
  334.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  335.    wt: 1:   Chapter 21. Third Reading Guide
  336.    wt: 1:   Chapter 20. Degrees and Radians
  337.    wt: 1:   Chapter 19. Functions and Sets
  338.    wt: 1:   Chapter 18. Rules for Algebra
  339.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  340.    wt: 1:   Chapter 16. Painless Theorem Proving
  341.    wt: 1:   Chapter 15. Solving Linear Equations
  342.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  343.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  344.    wt: 1:   Chapter 13. Second Reading Guide
  345.    wt: 1:   Chapter 12. Shorthand Usage Guide
  346.    wt: 1:   Chapter 11. Why Shorthand
  347.    wt: 1:   Chapter 10 Describing and Changing Calculations
  348.    wt: 1:   Postscript What is a Variable
  349.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  350.    wt: 1:   Chapter 8 Three Skills For Algebra
  351.    wt: 1:   Solutions For Arithmetic Exercises
  352.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  353.    wt: 1:   Chapter 6 Change of Language
  354.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  355.    wt: 1:   Chapter 4 Longer Chains of Reason
  356.    wt: 1:   Chapter 3 Chains of Reason
  357.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  358.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  359.    wt: 1:   Foreword
  360.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  361.    wt: 1:   Postscript C Consistency as a Tool for Reason
  362.    wt: 1:   Postscript B More on Story Telling and Reason
  363.    wt: 1:   Postscript A Story Telling
  364.    wt: 1:   Chapter 24 Direct and Indirect Reason
  365.    wt: 1:   Chapter 23 Truth Tables
  366.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  367.    wt: 1:   Chapter 21 Occurrence Tables
  368.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  369.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  370.    wt: 1:   Chapter 18 Sense and Knowledge
  371.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  372.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  373.    wt: 1:   Chapter 15 Objective Processes
  374.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  375.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  376.    wt: 1:   Chapter 11 Accidental Patterns
  377.    wt: 1:   Chapter 10 Responsibility
  378.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  379.    wt: 1:   Chapter 8 Change of Language
  380.    wt: 1:   Chapter 7 Longer Chains of Reason
  381.    wt: 1:   Chapter 6 Chains of Reason
  382.    wt: 1:   Chapter 5 Deception
  383.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  384.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  385.    wt: 1:   Chapter 2 Skill Development
  386.    wt: 1:   Chapter 1 Introduction
  387.    wt: 1:   Three Remarks
  388.    wt: 1:   Foreword
  389.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  390.    wt: 1:   R Why Learn Mathematics Skills
  391.    wt: 1:   O On Learning Mathematics and Science
  392.    wt: 1:   N Mathematics Prepare for College Studies
  393.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  394.    wt: 1:   Chapter 8 Skipped Topics and Why
  395.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  396.    wt: 1:   Chapter 6 More Algebra and Geometry
  397.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  398.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  399.    wt: 1:   Chapter 3 Algebra Starter Lessons
  400.    wt: 1:   Chapter 2 Why Sets
  401.    wt: 1:   Chapter 1 Arithmetic
  402.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  403.    wt: 1:   7 Games and Activities for Instruction
  404.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  405.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  406.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  407.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  408.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  409.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  410.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  411.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  412.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  413.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  414.    wt: 1:   More Algebra and Slope based Calculus Preview
  415.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  416.    wt: 1:   Systematic Algebra Skill Development Missing Links
  417.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  418.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  419.    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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