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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18 matches:

  1.    wt: 4:   D Decimal Long Division Methods/
  2.    wt: 4:   C Decimal Multiplication Methods/
  3.    wt: 4:   B Decimal Comparing and Subtracting Methods/
  4.    wt: 4:   A Decimal Counting and Adding Methods/
  5.    wt: 3:   2 Arithmetic with Decimals/
  6.    wt: 2:   Parent Center/
  7.    wt: 2:   8 Arithmetic with Signed Numbers/
  8.    wt: 2:   7 Arithmetic and Fractions with Units/
  9.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  10.    wt: 2:   1 Decimal Place Value/
  11.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  12.    wt: 1:   11 Squares and Square Roots/
  13.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  14.    wt: 1:   9 Combinatorics Trees Tables and Products/
  15.    wt: 1:   6 Fractions and Ratios/
  16.    wt: 1:   5 Integers/
  17.    wt: 1:   3 Prime Factorization Skills/
  18.    wt: 1:   Arithmetic and Number Theory Skills/

Web Page Search

89 matches:

  1.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  2.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  3.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  4.    wt: 2:   7 Adding decimal fractions using decimal point
  5.    wt: 1:   Appendix 2 primary school Arithmetic 01
  6.    wt: 1:   Skills Chapter 1 Arithmetic
  7.    wt: 1:   7 logic review and decimals an odd combination
  8.    wt: 1:   2 arithmetic with signed numbers
  9.    wt: 1:   1 arithmetic with unsigned numbers
  10.    wt: 1:   22 Student Centered Highschool Mathematics
  11.    wt: 1:   Ages 12 to 14 Arithmetic
  12.    wt: 1:   Ages 10 to 12 Arithmetic
  13.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  14.    wt: 1:   A Modular and Remainder Arithmetic
  15.    wt: 1:   A Signed Number Arithmetic Review
  16.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  17.    wt: 1:   9 Division with Digits after Decimal Point
  18.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  19.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  20.    wt: 1:   4 Location of Point in Decimal Addition
  21.    wt: 1:   3 Location of Point in Decimal Multiplication
  22.    wt: 1:   2 Counting Digits in Decimal Multiplication
  23.    wt: 1:   1 Fractions with Finite Decimal Expansions
  24.    wt: 1:   C Three Decimal Subtraction Methods
  25.    wt: 1:   B Decimal Comparison and Subtraction
  26.    wt: 1:   A Decimal Addition Columm Methods
  27.    wt: 1:   7 Decimals Multiplication Methods Examples
  28.    wt: 1:   6 Column Methods for Decimal Multiplication
  29.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  30.    wt: 1:   3 Adding Words To Arithmetic
  31.    wt: 1:   arithmetic videos Real Player Format
  32.    wt: 1:   23 Remainder Arithmetic Modulo 2
  33.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  34.    wt: 1:   21 Remainder Arithmetic Modulo 3
  35.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  36.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  37.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  38.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  39.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  40.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  41.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  42.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  43.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  44.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  45.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  46.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  47.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  48.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  49.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  50.    wt: 1:   5 Remainder Arithmetic Modulo 5
  51.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  52.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  53.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  54.    wt: 1:   1 Remainder Arithmetic Modulo 10
  55.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  56.    wt: 1:   D Decimal Multiplication Methods Derived
  57.    wt: 1:   5 Decimal Fraction Multiplication
  58.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  59.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  60.    wt: 1:   Video Power Notation in Decimal Expansion
  61.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  62.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  63.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  64.    wt: 1:   5. How to add decimals C. Examples
  65.    wt: 1:   4. How to add with decimals B with conversions
  66.    wt: 1:   3. How to add with decimals A sans conversions
  67.    wt: 1:   2 Decimal Counting Practices
  68.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  69.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  70.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  71.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  72.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  73.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  74.    wt: 1:   Exact Arithmetic Wholes and Fractions
  75.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  76.    wt: 1:   5 Conversion Arithmetic
  77.    wt: 1:   3 Decimal insights for limits continuity convergence
  78.    wt: 1:   PostScript For and Against Decimal Perspectives
  79.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  80.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  81.    wt: 1:   Solutions For Arithmetic Exercises
  82.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  83.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  84.    wt: 1:   M Words to extend arithmetic
  85.    wt: 1:   Chapter 1 Arithmetic
  86.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  87.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  88.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  89.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics

Extended Search

288 matches:

  1.    wt: 6:   7 Adding decimal fractions using decimal point
  2.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  3.    wt: 5:   D Decimal Multiplication Methods Derived
  4.    wt: 5:   5 Decimal Fraction Multiplication
  5.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  6.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  7.    wt: 5:   Video Power Notation in Decimal Expansion
  8.    wt: 5:   Appendix 2 Three Decimal Subtraction Methods
  9.    wt: 5:   Appendix 1 Decimals Comparison Method Take II
  10.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  11.    wt: 5:   5. How to add decimals C. Examples
  12.    wt: 5:   4. How to add with decimals B with conversions
  13.    wt: 5:   3. How to add with decimals A sans conversions
  14.    wt: 5:   2 Decimal Counting Practices
  15.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  16.    wt: 4:   Long Division Backwards more
  17.    wt: 4:   Long Division Backward
  18.    wt: 4:   Division with Counts and Length
  19.    wt: 4:   Long Division forwards and backwards Example 3
  20.    wt: 4:   Long Division forwards and backwards Example 2
  21.    wt: 4:   Long Division forwards and backwards Example 1
  22.    wt: 4:   12 Why Long Division Works Take III
  23.    wt: 4:   11 Another Single Digit Divisor Example
  24.    wt: 4:   10 Division by Five Long and Short Ways
  25.    wt: 4:   9 Why Long Division Works Take II
  26.    wt: 4:   8 Correcting the Mistake
  27.    wt: 4:   7 Long Divison Mistake Catching
  28.    wt: 4:   5 Long Division Include Zeroes or not
  29.    wt: 4:   4 Division with 2 Digit Divsors
  30.    wt: 4:   3 Division Single Digit Divisor Example
  31.    wt: 4:   2 Division with Single Digit Divisors
  32.    wt: 4:   1 Divsion Physical Examples
  33.    wt: 4:   C Counting Areas with Powers of Ten
  34.    wt: 4:   B Powers of Ten
  35.    wt: 4:   A Elementary Basis for Multiplication Methods
  36.    wt: 4:   6 Multiplication Commutes Order Not Important
  37.    wt: 4:   4 Two and Three Digit Multipliers
  38.    wt: 4:   3 More One Digit Multipliers
  39.    wt: 4:   2 One Digit Multipliers
  40.    wt: 4:   1 Why 3 times 5 gives 15
  41.    wt: 4:   Subtraction with J Conversions Example
  42.    wt: 4:   Subtraction Another Video Lesson
  43.    wt: 4:   9 22 Minute Subtraction Review Video
  44.    wt: 4:   8 Subtraction with Units of Measure
  45.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  46.    wt: 4:   5 A Tip for Efficent Subtraction
  47.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  48.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  49.    wt: 4:   2 Subtraction Easy Case Examples
  50.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  51.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  52.    wt: 4:   8 What skills and work habits to require
  53.    wt: 4:   6. Counting and adding units and mixed units
  54.    wt: 4:   1. Explaining Addition Table
  55.    wt: 3:   22 Student Centered Highschool Mathematics
  56.    wt: 3:   23 Remainder Arithmetic Modulo 2
  57.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  58.    wt: 3:   21 Remainder Arithmetic Modulo 3
  59.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  60.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  61.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  62.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  63.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  64.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  65.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  66.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  67.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  68.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  69.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  70.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  71.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  72.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  73.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  74.    wt: 3:   5 Remainder Arithmetic Modulo 5
  75.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  76.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  77.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  78.    wt: 3:   1 Remainder Arithmetic Modulo 10
  79.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  80.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  81.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  82.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  83.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  84.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  85.    wt: 2:   Home Tutoring and Home Schooling
  86.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  87.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  88.    wt: 2:   24 Standards For Skill Develoment Take II
  89.    wt: 2:   24 Standards For Skill Develoment
  90.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  91.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  92.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  93.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  94.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  95.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  96.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  97.    wt: 2:   18 Primary School Mathematics
  98.    wt: 2:   17 Math Booklets for children and young teenagers
  99.    wt: 2:   16 Secondary Mathematics Tips
  100.    wt: 2:   15 Counting For Parents
  101.    wt: 2:   14 Multiplication and Times Tables
  102.    wt: 2:   13 Addition and Addition Tables
  103.    wt: 2:   12 Goals and Objectives For Mathematics
  104.    wt: 2:   11 Help and Defend Your Child or Teens Education
  105.    wt: 2:   10 Ends values for work study instruction
  106.    wt: 2:   9 Streaming by Student Cooperation
  107.    wt: 2:   8 The Effect of Negative Remarks
  108.    wt: 2:   7 Student Motivation
  109.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  110.    wt: 2:   5 Patience Please for Yourself and Your Charges
  111.    wt: 2:   4 Learning Takes Time and Effort
  112.    wt: 2:   3 Preparing for Science Studies
  113.    wt: 2:   2 Reading and Writing Skills
  114.    wt: 2:   1 Speaking Skills
  115.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  116.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  117.    wt: 2:   arithmetic videos Real Player Format
  118.    wt: 2:   11 What are real lengths and numbers
  119.    wt: 2:   10 dividing signed numbers
  120.    wt: 2:   9 subtracting signed numbers
  121.    wt: 2:   8 multiplying signed numbers
  122.    wt: 2:   7 negative and additive inverse
  123.    wt: 2:   6 adding signed numbers
  124.    wt: 2:   5 lengths and signs of numbers
  125.    wt: 2:   4 signed coordinates for regions in space
  126.    wt: 2:   3 signed coordinates for maps and planes
  127.    wt: 2:   2 signed and unsigned numbers as coordinates
  128.    wt: 2:   7 Converting or Changing Units
  129.    wt: 2:   6 Simplification of Fractions with Units
  130.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  131.    wt: 2:   4 Fractions with Units
  132.    wt: 2:   3 Multiplying Units and Numbers
  133.    wt: 2:   2 Equality and Units
  134.    wt: 2:   1 Addition and Subtraction with Units
  135.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  136.    wt: 2:   26 Divisibility by 2 3 5 Example
  137.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  138.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  139.    wt: 2:   11 Place Value SI Standard International way
  140.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  141.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  142.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  143.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  144.    wt: 2:   Exact Arithmetic Wholes and Fractions
  145.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  146.    wt: 1:   Appendix 2 primary school Arithmetic 01
  147.    wt: 1:   Skills Chapter 1 Arithmetic
  148.    wt: 1:   7 logic review and decimals an odd combination
  149.    wt: 1:   2 arithmetic with signed numbers
  150.    wt: 1:   1 arithmetic with unsigned numbers
  151.    wt: 1:   Ages 12 to 14 Arithmetic
  152.    wt: 1:   Ages 10 to 12 Arithmetic
  153.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  154.    wt: 1:   A Modular and Remainder Arithmetic
  155.    wt: 1:   A Signed Number Arithmetic Review
  156.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  157.    wt: 1:   9 Division with Digits after Decimal Point
  158.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  159.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  160.    wt: 1:   4 Location of Point in Decimal Addition
  161.    wt: 1:   3 Location of Point in Decimal Multiplication
  162.    wt: 1:   2 Counting Digits in Decimal Multiplication
  163.    wt: 1:   1 Fractions with Finite Decimal Expansions
  164.    wt: 1:   C Three Decimal Subtraction Methods
  165.    wt: 1:   B Decimal Comparison and Subtraction
  166.    wt: 1:   A Decimal Addition Columm Methods
  167.    wt: 1:   7 Decimals Multiplication Methods Examples
  168.    wt: 1:   6 Column Methods for Decimal Multiplication
  169.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  170.    wt: 1:   3 Adding Words To Arithmetic
  171.    wt: 1:   4 Greater More Less Than Signs in General
  172.    wt: 1:   3 Comparison of Negative Numbers
  173.    wt: 1:   2 More and Less Than with Unlike Signs
  174.    wt: 1:   1 More and Less Than for Counts and Measures
  175.    wt: 1:   5 Square Roots with primes more still
  176.    wt: 1:   4 Square Roots with primes more
  177.    wt: 1:   3 Properties of Square Roots with example
  178.    wt: 1:   2 Square Roots with Prime
  179.    wt: 1:   1 Squares and Square Roots Introduction
  180.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  181.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  182.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  183.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  184.    wt: 1:   13 GCD from given Prime Factorization
  185.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  186.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  187.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  188.    wt: 1:   8 GCD from Euclidean Algorithm
  189.    wt: 1:   7 GCD and LCM from prime factorization
  190.    wt: 1:   6 GCD from Prime
  191.    wt: 1:   5 Common Divisors 60 45 via Prime
  192.    wt: 1:   4 LCM of 8 and 10 via Prime
  193.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  194.    wt: 1:   2 Least Common Multiple LCM intro via list method
  195.    wt: 1:   1 Least Common Multiples LCM Introduction
  196.    wt: 1:   12 GCD 2700 288 via Prime
  197.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  198.    wt: 1:   4 Counting with Trees Product Rule Take I
  199.    wt: 1:   3 Counting with Tables and Trees II
  200.    wt: 1:   2 Counting with Tables and Trees I
  201.    wt: 1:   1 Counting and Counting Methods I
  202.    wt: 1:   D Three Term Ratios
  203.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  204.    wt: 1:   B Fractions and Two Term Ratios
  205.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  206.    wt: 1:   22 Complex Compound Fractions
  207.    wt: 1:   21 Working With Signs
  208.    wt: 1:   21 Reciprocals for Fractions and Wholes
  209.    wt: 1:   20 Dividing Fractions the Why
  210.    wt: 1:   19 Dividing Fractions How TO
  211.    wt: 1:   18 Efficient Ways to Multiply
  212.    wt: 1:   17 Efficient Ways to Add and Subtract
  213.    wt: 1:   16 Addition Subtraction Comparision Compared
  214.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  215.    wt: 1:   14 Adding and Subtracting with Like Denominators
  216.    wt: 1:   13 Fraction Comparison Algebraic View
  217.    wt: 1:   12 Fraction Comparison
  218.    wt: 1:   11 Simplification an Algebraic View
  219.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  220.    wt: 1:   9 Improper Fractions and Mixed Numbers
  221.    wt: 1:   8 Numerals Fractionals Quantals Take II
  222.    wt: 1:   7 Numerals Fractionals Quantals
  223.    wt: 1:   6 Multiplication of Mixed Numbers
  224.    wt: 1:   6 Multiplication Algebraically Take II
  225.    wt: 1:   5 Equivalent Fractions
  226.    wt: 1:   4 Fraction Multiplication
  227.    wt: 1:   3 Unit fraction of a fraction
  228.    wt: 1:   2 Unit Fraction Multiplication
  229.    wt: 1:   1 What is a fraction Take II
  230.    wt: 1:   1 What is a fraction
  231.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  232.    wt: 1:   D Remainders Modulo 11 Pair Rule
  233.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  234.    wt: 1:   B Integer Long Division Multiple Choices
  235.    wt: 1:   A Associative Law Theorectical Note
  236.    wt: 1:   13 Subtraction with Additive Inverse
  237.    wt: 1:   12 Adding Integers More Examples
  238.    wt: 1:   11 Adding Integers Formulas and Examples
  239.    wt: 1:   10 Integer Multiplication Formulas
  240.    wt: 1:   9 Multiplying Integers
  241.    wt: 1:   8 Multiplication by Signed Numbers Integers
  242.    wt: 1:   7 Multiplication by Signs
  243.    wt: 1:   6 Multiplication by Natural Numbers
  244.    wt: 1:   5 Zero Movement and Additive Inverses
  245.    wt: 1:   4 Adding Movements wiht opposite directions
  246.    wt: 1:   3 Adding Movements with same direction
  247.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  248.    wt: 1:   1 Integers as Coordinates
  249.    wt: 1:   20 Uniqueness of Prime Factorization
  250.    wt: 1:   19 video Prime Factorization Unique
  251.    wt: 1:   18 video Count Factors given Prime Factorization
  252.    wt: 1:   17 Identify and Count Factors using Primes
  253.    wt: 1:   16 video Factors of 980 using prime
  254.    wt: 1:   15 video Factors of 20 using Prime Factorization
  255.    wt: 1:   14 video Factors of 24 Take II
  256.    wt: 1:   13 video Factors of 24 using prime
  257.    wt: 1:   12 LCD GCD and LCM using Primes
  258.    wt: 1:   11 Efficient Square Rule Use
  259.    wt: 1:   10 video Prime Factorization upto 23 squared
  260.    wt: 1:   9 video Prime Factorization upto 19 squared
  261.    wt: 1:   8 video Prime Factorization upto 19
  262.    wt: 1:   7 Calculator Usage Notes and Cautions
  263.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  264.    wt: 1:   5 Prime Factorization and a Square Rule
  265.    wt: 1:   4 video Prime Factorization Introduction
  266.    wt: 1:   3 video Primes and Composites from 9 times table
  267.    wt: 1:   2 Prime and Composites less than 16
  268.    wt: 1:   1 video how Products are bigger than factor
  269.    wt: 1:   Quick history of numbers and algebra
  270.    wt: 1:   Formula Evaluation how to show work
  271.    wt: 1:   Expression Evaluation how to show work
  272.    wt: 1:   The 20 Times Table
  273.    wt: 1:   The 12 Times Table Visually
  274.    wt: 1:   About folder contents
  275.    wt: 1:   5 Conversion Arithmetic
  276.    wt: 1:   3 Decimal insights for limits continuity convergence
  277.    wt: 1:   PostScript For and Against Decimal Perspectives
  278.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  279.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  280.    wt: 1:   Solutions For Arithmetic Exercises
  281.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  282.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  283.    wt: 1:   M Words to extend arithmetic
  284.    wt: 1:   Chapter 1 Arithmetic
  285.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  286.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  287.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  288.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics

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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