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

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

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

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

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

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

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

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  1.    wt: 2:   Parent Center/
  2.    wt: 2:   3 Prime Factorization Skills/
  3.    wt: 1:   Mathematics Skills Year by Year/
  4.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  5.    wt: 1:   11 Squares and Square Roots/
  6.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  7.    wt: 1:   9 Combinatorics Trees Tables and Products/
  8.    wt: 1:   8 Arithmetic with Signed Numbers/
  9.    wt: 1:   7 Arithmetic and Fractions with Units/
  10.    wt: 1:   6 Fractions and Ratios/
  11.    wt: 1:   5 Integers/
  12.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  13.    wt: 1:   D Decimal Long Division Methods/
  14.    wt: 1:   C Decimal Multiplication Methods/
  15.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  16.    wt: 1:   A Decimal Counting and Adding Methods/
  17.    wt: 1:   2 Arithmetic with Decimals/
  18.    wt: 1:   1 Decimal Place Value/
  19.    wt: 1:   Arithmetic and Number Theory Skills/
  20.    wt: 1:   Time Date Matters/
  21.    wt: 1:   Skills with take home value/
  22.    wt: 1:   Volume 2 Three Skills For Algebra/
  23.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

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24 matches:

  1.    wt: 2:   1 Speaking Skills
  2.    wt: 1:   G LAMP Introduction Problem Solving Skills
  3.    wt: 1:   Skills Chapter 5 Calculus
  4.    wt: 1:   Skills Chapter 4 Logic
  5.    wt: 1:   Skills Chapter 3 Algebra
  6.    wt: 1:   Skills Chapter 2 Geometry
  7.    wt: 1:   Skills Chapter 1 Arithmetic
  8.    wt: 1:   Skills Chapter 0 Introduction
  9.    wt: 1:   22 Student Centered Highschool Mathematics
  10.    wt: 1:   2 Reading and Writing Skills
  11.    wt: 1:   Ages 12 to 14 Skills with take home value
  12.    wt: 1:   3 Multiplicative Counting Skills Principles
  13.    wt: 1:   2 Combing Counts Addition Skills and Principles
  14.    wt: 1:   1 Three Skills For Algebra
  15.    wt: 1:   8 What skills and work habits to require
  16.    wt: 1:   1 Intro of Kids To Time Date Skills
  17.    wt: 1:   Chapter 8 Three Skills For Algebra
  18.    wt: 1:   R Why Learn Mathematics Skills
  19.    wt: 1:   L Skills with take home value
  20.    wt: 1:   I. Logic and language skills
  21.    wt: 1:   How to Build Skills and Confidence
  22.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  23.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  24.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years

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343 matches:

  1.    wt: 4:   1 Speaking Skills
  2.    wt: 3:   22 Student Centered Highschool Mathematics
  3.    wt: 3:   2 Reading and Writing Skills
  4.    wt: 2:   Home Tutoring and Home Schooling
  5.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  6.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  7.    wt: 2:   24 Standards For Skill Develoment Take II
  8.    wt: 2:   24 Standards For Skill Develoment
  9.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  10.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  11.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  12.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  13.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  14.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  15.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  16.    wt: 2:   18 Primary School Mathematics
  17.    wt: 2:   17 Math Booklets for children and young teenagers
  18.    wt: 2:   16 Secondary Mathematics Tips
  19.    wt: 2:   15 Counting For Parents
  20.    wt: 2:   14 Multiplication and Times Tables
  21.    wt: 2:   13 Addition and Addition Tables
  22.    wt: 2:   12 Goals and Objectives For Mathematics
  23.    wt: 2:   11 Help and Defend Your Child or Teens Education
  24.    wt: 2:   10 Ends values for work study instruction
  25.    wt: 2:   9 Streaming by Student Cooperation
  26.    wt: 2:   8 The Effect of Negative Remarks
  27.    wt: 2:   7 Student Motivation
  28.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  29.    wt: 2:   5 Patience Please for Yourself and Your Charges
  30.    wt: 2:   4 Learning Takes Time and Effort
  31.    wt: 2:   3 Preparing for Science Studies
  32.    wt: 2:   Ages 12 to 14 Skills with take home value
  33.    wt: 2:   20 Uniqueness of Prime Factorization
  34.    wt: 2:   19 video Prime Factorization Unique
  35.    wt: 2:   18 video Count Factors given Prime Factorization
  36.    wt: 2:   17 Identify and Count Factors using Primes
  37.    wt: 2:   16 video Factors of 980 using prime
  38.    wt: 2:   15 video Factors of 20 using Prime Factorization
  39.    wt: 2:   14 video Factors of 24 Take II
  40.    wt: 2:   13 video Factors of 24 using prime
  41.    wt: 2:   12 LCD GCD and LCM using Primes
  42.    wt: 2:   11 Efficient Square Rule Use
  43.    wt: 2:   10 video Prime Factorization upto 23 squared
  44.    wt: 2:   9 video Prime Factorization upto 19 squared
  45.    wt: 2:   8 video Prime Factorization upto 19
  46.    wt: 2:   7 Calculator Usage Notes and Cautions
  47.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  48.    wt: 2:   5 Prime Factorization and a Square Rule
  49.    wt: 2:   4 video Prime Factorization Introduction
  50.    wt: 2:   3 video Primes and Composites from 9 times table
  51.    wt: 2:   2 Prime and Composites less than 16
  52.    wt: 2:   1 video how Products are bigger than factor
  53.    wt: 2:   8 What skills and work habits to require
  54.    wt: 2:   1 Intro of Kids To Time Date Skills
  55.    wt: 2:   Chapter 8 Three Skills For Algebra
  56.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  57.    wt: 1:   G LAMP Introduction Problem Solving Skills
  58.    wt: 1:   Skills Chapter 5 Calculus
  59.    wt: 1:   Skills Chapter 4 Logic
  60.    wt: 1:   Skills Chapter 3 Algebra
  61.    wt: 1:   Skills Chapter 2 Geometry
  62.    wt: 1:   Skills Chapter 1 Arithmetic
  63.    wt: 1:   Skills Chapter 0 Introduction
  64.    wt: 1:   Ages 12 to 14 Geometry
  65.    wt: 1:   Ages 12 to 14 Arithmetic
  66.    wt: 1:   Ages 10 to 12 Geometry
  67.    wt: 1:   Ages 10 to 12 Arithmetic
  68.    wt: 1:   Ages 9 to 10
  69.    wt: 1:   Ages 8 to 9
  70.    wt: 1:   Ages 7 to 8
  71.    wt: 1:   Ages 6 to 7
  72.    wt: 1:   Ages 4 plus to 5 plus
  73.    wt: 1:   Ages 3 plus to 4 plus
  74.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  75.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  76.    wt: 1:   3 Multiplicative Counting Skills Principles
  77.    wt: 1:   2 Combing Counts Addition Skills and Principles
  78.    wt: 1:   1 Three Skills For Algebra
  79.    wt: 1:   arithmetic videos Real Player Format
  80.    wt: 1:   4 Greater More Less Than Signs in General
  81.    wt: 1:   3 Comparison of Negative Numbers
  82.    wt: 1:   2 More and Less Than with Unlike Signs
  83.    wt: 1:   1 More and Less Than for Counts and Measures
  84.    wt: 1:   5 Square Roots with primes more still
  85.    wt: 1:   4 Square Roots with primes more
  86.    wt: 1:   3 Properties of Square Roots with example
  87.    wt: 1:   2 Square Roots with Prime
  88.    wt: 1:   1 Squares and Square Roots Introduction
  89.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  90.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  91.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  92.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  93.    wt: 1:   13 GCD from given Prime Factorization
  94.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  95.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  96.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  97.    wt: 1:   8 GCD from Euclidean Algorithm
  98.    wt: 1:   7 GCD and LCM from prime factorization
  99.    wt: 1:   6 GCD from Prime
  100.    wt: 1:   5 Common Divisors 60 45 via Prime
  101.    wt: 1:   4 LCM of 8 and 10 via Prime
  102.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  103.    wt: 1:   2 Least Common Multiple LCM intro via list method
  104.    wt: 1:   1 Least Common Multiples LCM Introduction
  105.    wt: 1:   12 GCD 2700 288 via Prime
  106.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  107.    wt: 1:   4 Counting with Trees Product Rule Take I
  108.    wt: 1:   3 Counting with Tables and Trees II
  109.    wt: 1:   2 Counting with Tables and Trees I
  110.    wt: 1:   1 Counting and Counting Methods I
  111.    wt: 1:   11 What are real lengths and numbers
  112.    wt: 1:   10 dividing signed numbers
  113.    wt: 1:   9 subtracting signed numbers
  114.    wt: 1:   8 multiplying signed numbers
  115.    wt: 1:   7 negative and additive inverse
  116.    wt: 1:   6 adding signed numbers
  117.    wt: 1:   5 lengths and signs of numbers
  118.    wt: 1:   4 signed coordinates for regions in space
  119.    wt: 1:   3 signed coordinates for maps and planes
  120.    wt: 1:   2 signed and unsigned numbers as coordinates
  121.    wt: 1:   7 Converting or Changing Units
  122.    wt: 1:   6 Simplification of Fractions with Units
  123.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  124.    wt: 1:   4 Fractions with Units
  125.    wt: 1:   3 Multiplying Units and Numbers
  126.    wt: 1:   2 Equality and Units
  127.    wt: 1:   1 Addition and Subtraction with Units
  128.    wt: 1:   D Three Term Ratios
  129.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  130.    wt: 1:   B Fractions and Two Term Ratios
  131.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  132.    wt: 1:   22 Complex Compound Fractions
  133.    wt: 1:   21 Working With Signs
  134.    wt: 1:   21 Reciprocals for Fractions and Wholes
  135.    wt: 1:   20 Dividing Fractions the Why
  136.    wt: 1:   19 Dividing Fractions How TO
  137.    wt: 1:   18 Efficient Ways to Multiply
  138.    wt: 1:   17 Efficient Ways to Add and Subtract
  139.    wt: 1:   16 Addition Subtraction Comparision Compared
  140.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  141.    wt: 1:   14 Adding and Subtracting with Like Denominators
  142.    wt: 1:   13 Fraction Comparison Algebraic View
  143.    wt: 1:   12 Fraction Comparison
  144.    wt: 1:   11 Simplification an Algebraic View
  145.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  146.    wt: 1:   9 Improper Fractions and Mixed Numbers
  147.    wt: 1:   8 Numerals Fractionals Quantals Take II
  148.    wt: 1:   7 Numerals Fractionals Quantals
  149.    wt: 1:   6 Multiplication of Mixed Numbers
  150.    wt: 1:   6 Multiplication Algebraically Take II
  151.    wt: 1:   5 Equivalent Fractions
  152.    wt: 1:   4 Fraction Multiplication
  153.    wt: 1:   3 Unit fraction of a fraction
  154.    wt: 1:   2 Unit Fraction Multiplication
  155.    wt: 1:   1 What is a fraction Take II
  156.    wt: 1:   1 What is a fraction
  157.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  158.    wt: 1:   D Remainders Modulo 11 Pair Rule
  159.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  160.    wt: 1:   B Integer Long Division Multiple Choices
  161.    wt: 1:   A Associative Law Theorectical Note
  162.    wt: 1:   13 Subtraction with Additive Inverse
  163.    wt: 1:   12 Adding Integers More Examples
  164.    wt: 1:   11 Adding Integers Formulas and Examples
  165.    wt: 1:   10 Integer Multiplication Formulas
  166.    wt: 1:   9 Multiplying Integers
  167.    wt: 1:   8 Multiplication by Signed Numbers Integers
  168.    wt: 1:   7 Multiplication by Signs
  169.    wt: 1:   6 Multiplication by Natural Numbers
  170.    wt: 1:   5 Zero Movement and Additive Inverses
  171.    wt: 1:   4 Adding Movements wiht opposite directions
  172.    wt: 1:   3 Adding Movements with same direction
  173.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  174.    wt: 1:   1 Integers as Coordinates
  175.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  176.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  177.    wt: 1:   26 Divisibility by 2 3 5 Example
  178.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  179.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  180.    wt: 1:   23 Remainder Arithmetic Modulo 2
  181.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  182.    wt: 1:   21 Remainder Arithmetic Modulo 3
  183.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  184.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  185.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  186.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  187.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  188.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  189.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  190.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  191.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  192.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  193.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  194.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  195.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  196.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  197.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  198.    wt: 1:   5 Remainder Arithmetic Modulo 5
  199.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  200.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  201.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  202.    wt: 1:   1 Remainder Arithmetic Modulo 10
  203.    wt: 1:   Long Division Backwards more
  204.    wt: 1:   Long Division Backward
  205.    wt: 1:   Division with Counts and Length
  206.    wt: 1:   Long Division forwards and backwards Example 3
  207.    wt: 1:   Long Division forwards and backwards Example 2
  208.    wt: 1:   Long Division forwards and backwards Example 1
  209.    wt: 1:   12 Why Long Division Works Take III
  210.    wt: 1:   11 Another Single Digit Divisor Example
  211.    wt: 1:   10 Division by Five Long and Short Ways
  212.    wt: 1:   9 Why Long Division Works Take II
  213.    wt: 1:   8 Correcting the Mistake
  214.    wt: 1:   7 Long Divison Mistake Catching
  215.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  216.    wt: 1:   5 Long Division Include Zeroes or not
  217.    wt: 1:   4 Division with 2 Digit Divsors
  218.    wt: 1:   3 Division Single Digit Divisor Example
  219.    wt: 1:   2 Division with Single Digit Divisors
  220.    wt: 1:   1 Divsion Physical Examples
  221.    wt: 1:   D Decimal Multiplication Methods Derived
  222.    wt: 1:   C Counting Areas with Powers of Ten
  223.    wt: 1:   B Powers of Ten
  224.    wt: 1:   A Elementary Basis for Multiplication Methods
  225.    wt: 1:   6 Multiplication Commutes Order Not Important
  226.    wt: 1:   5 Decimal Fraction Multiplication
  227.    wt: 1:   4 Two and Three Digit Multipliers
  228.    wt: 1:   3 More One Digit Multipliers
  229.    wt: 1:   2 One Digit Multipliers
  230.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  231.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  232.    wt: 1:   Video Power Notation in Decimal Expansion
  233.    wt: 1:   1 Why 3 times 5 gives 15
  234.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  235.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  236.    wt: 1:   Subtraction with J Conversions Example
  237.    wt: 1:   Subtraction Another Video Lesson
  238.    wt: 1:   9 22 Minute Subtraction Review Video
  239.    wt: 1:   8 Subtraction with Units of Measure
  240.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  241.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  242.    wt: 1:   5 A Tip for Efficent Subtraction
  243.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  244.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  245.    wt: 1:   2 Subtraction Easy Case Examples
  246.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  247.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  248.    wt: 1:   7 Adding decimal fractions using decimal point
  249.    wt: 1:   6. Counting and adding units and mixed units
  250.    wt: 1:   5. How to add decimals C. Examples
  251.    wt: 1:   4. How to add with decimals B with conversions
  252.    wt: 1:   3. How to add with decimals A sans conversions
  253.    wt: 1:   2 Decimal Counting Practices
  254.    wt: 1:   1. Explaining Addition Table
  255.    wt: 1:   11 Place Value SI Standard International way
  256.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  257.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  258.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  259.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  260.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  261.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  262.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  263.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  264.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  265.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  266.    wt: 1:   Quick history of numbers and algebra
  267.    wt: 1:   Exact Arithmetic Wholes and Fractions
  268.    wt: 1:   Formula Evaluation how to show work
  269.    wt: 1:   Expression Evaluation how to show work
  270.    wt: 1:   The 20 Times Table
  271.    wt: 1:   The 12 Times Table Visually
  272.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  273.    wt: 1:   About folder contents
  274.    wt: 1:   016 Numbering Occidental Calendar Days
  275.    wt: 1:   015 School and work day counting tables
  276.    wt: 1:   014 Counting Days with Calendars
  277.    wt: 1:   013 Travel Time Tables
  278.    wt: 1:   012 Division of Time Intervals by Time Intervals
  279.    wt: 1:   011 Division of Time Intervals By Numbers
  280.    wt: 1:   010 Repeated Addition of Time Intervals
  281.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  282.    wt: 1:   8 Addition of Time Intervals via subtotaling
  283.    wt: 1:   7 Addition of Time Intervals
  284.    wt: 1:   6 How long is a million seconds
  285.    wt: 1:   5 Conversion Arithmetic
  286.    wt: 1:   4 Mixing and Changing Units of Time
  287.    wt: 1:   3 Units and Lengths of Time
  288.    wt: 1:   2 Time and Date Matters in School
  289.    wt: 1:   Postscript More on Better Performance
  290.    wt: 1:   Postscript For Better Performance
  291.    wt: 1:   Appendix E. How To Study Mathematics and Why
  292.    wt: 1:   Appendix D. What to do in School and Why
  293.    wt: 1:   Appendix C. How to Read
  294.    wt: 1:   Appendix B. How To Learn
  295.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  296.    wt: 1:   Chapter 31 Direct and Indirect Reason
  297.    wt: 1:   Chapter 30 Truth Tables
  298.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  299.    wt: 1:   Chapter 28 Occurrence Tables
  300.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  301.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  302.    wt: 1:   Chapter 25. Mathematical Induction Examples
  303.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  304.    wt: 1:   Chapter 23. Notation For Sums
  305.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  306.    wt: 1:   Chapter 21. Third Reading Guide
  307.    wt: 1:   Chapter 20. Degrees and Radians
  308.    wt: 1:   Chapter 19. Functions and Sets
  309.    wt: 1:   Chapter 18. Rules for Algebra
  310.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  311.    wt: 1:   Chapter 16. Painless Theorem Proving
  312.    wt: 1:   Chapter 15. Solving Linear Equations
  313.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  314.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  315.    wt: 1:   Chapter 13. Second Reading Guide
  316.    wt: 1:   Chapter 12. Shorthand Usage Guide
  317.    wt: 1:   Chapter 11. Why Shorthand
  318.    wt: 1:   Chapter 10 Describing and Changing Calculations
  319.    wt: 1:   Postscript What is a Variable
  320.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  321.    wt: 1:   Solutions For Arithmetic Exercises
  322.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  323.    wt: 1:   Chapter 6 Change of Language
  324.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  325.    wt: 1:   Chapter 4 Longer Chains of Reason
  326.    wt: 1:   Chapter 3 Chains of Reason
  327.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  328.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  329.    wt: 1:   Foreword
  330.    wt: 1:   R Why Learn Mathematics Skills
  331.    wt: 1:   L Skills with take home value
  332.    wt: 1:   I. Logic and language skills
  333.    wt: 1:   How to Build Skills and Confidence
  334.    wt: 1:   7 Games and Activities for Instruction
  335.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  336.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  337.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  338.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  339.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  340.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  341.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  342.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  343.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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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