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

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

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

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

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

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

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

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

17 matches:

  1.    wt: 6:   Volume 1A Pattern Based Reason/
  2.    wt: 3:   Volume 1A Regles et modeles/
  3.    wt: 2:   Volume 1 Elements of Reason/
  4.    wt: 1:   francais/
  5.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  6.    wt: 1:   5 What is Similarity/
  7.    wt: 1:   10 Examples of Algebraic Reasoning/
  8.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  9.    wt: 1:   4 Computation Rules and Function Notation/
  10.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  11.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  12.    wt: 1:   D Decimal Long Division Methods/
  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 1B Mathematics Curriculum Notes/

Web Page Search

233 matches:

  1.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  2.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  3.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  4.    wt: 2:   4 Polynomials Long division linear divisor
  5.    wt: 2:   7 Tangent Function is odd on this domain
  6.    wt: 2:   What is and is not here
  7.    wt: 2:   6 Ruler and compass Angle Bisection
  8.    wt: 2:   7 Long Divison Mistake Catching
  9.    wt: 2:   3 Division Single Digit Divisor Example
  10.    wt: 2:   2 Division with Single Digit Divisors
  11.    wt: 2:   3 Two Chain Rule Method Exercises
  12.    wt: 2:   26 Chain Rule Recognising outer inner functions
  13.    wt: 2:   6 Power rule from product rule
  14.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  15.    wt: 2:   Postscript C Consistency as a Tool for Reason
  16.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  17.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  18.    wt: 2:   Chapter 11 Accidental Patterns
  19.    wt: 1:   F LAMP Introduction Prerequisites
  20.    wt: 1:   10 statistics
  21.    wt: 1:   What is POMME
  22.    wt: 1:   permissions for teachers
  23.    wt: 1:   Education Reform Inconsistencies
  24.    wt: 1:   teaching tutoring algebraic reason
  25.    wt: 1:   Different Kinds of Reasoning in maths
  26.    wt: 1:   three kinds of reason in mathematics
  27.    wt: 1:   chapitre 12 00 les iles et division
  28.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  29.    wt: 1:   chapitre 06 00 Chaines de la raison
  30.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  31.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  32.    wt: 1:   Trois Notions qui menent a algebre
  33.    wt: 1:   2 Conductance Resistance Duality02
  34.    wt: 1:   1 Conductance Resistance Duality01
  35.    wt: 1:   F Wire Resistance Calculation04
  36.    wt: 1:   E Wire Resistance Calculation03
  37.    wt: 1:   D Wire Resistance Calculation02
  38.    wt: 1:   C Wire Resistance Calculation01
  39.    wt: 1:   B Wire Resistance Qualitative02
  40.    wt: 1:   A Wire Resistance Qualitative01
  41.    wt: 1:   3 Like resistors in parallel
  42.    wt: 1:   2 Unlike resistors in parallel01
  43.    wt: 1:   1 Like resistors in series
  44.    wt: 1:   F Unlike Resistors in Series
  45.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  46.    wt: 1:   sign monoticity analysis example 4
  47.    wt: 1:   sign monoticity analysis example 3
  48.    wt: 1:   sign monoticity analysis example 2
  49.    wt: 1:   sign monoticity analysis example 1
  50.    wt: 1:   19 Horizontal line rule and method
  51.    wt: 1:   18 Vertical Line Rule and Method
  52.    wt: 1:   15 Sign analysis of functions
  53.    wt: 1:   12 Function Domain Recognition Exercises
  54.    wt: 1:   6 Set Existence Formation and Notation
  55.    wt: 1:   3 Formula or function graphing exercise
  56.    wt: 1:   10 quadratic exercises
  57.    wt: 1:   1 quadratics graphing exercises
  58.    wt: 1:   5 Natural Logarithm Calculator Exercises
  59.    wt: 1:   1 Calculator Starter Exercises
  60.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  61.    wt: 1:   1 Polynomials Distributive Law
  62.    wt: 1:   5 Swapping Coordinates is a reflection
  63.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  64.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  65.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  66.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  67.    wt: 1:   17D cis formulas for sine cosines and tangent
  68.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  69.    wt: 1:   17A The complex number valued trig function cis
  70.    wt: 1:   12 cis formulas for sine cosines and tangent
  71.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  72.    wt: 1:   9 The complex number valued trig function cis
  73.    wt: 1:   5 An Easy Proof of the Distributive Law
  74.    wt: 1:   11 Triangle Similarity Missing Side Problem
  75.    wt: 1:   Four Simple Exercises
  76.    wt: 1:   7 Exercises to test skill and concept mastery
  77.    wt: 1:   13 Pythagorean spatial distance formulas
  78.    wt: 1:   10 Pythagorean plane distance formula
  79.    wt: 1:   8 Distance Between Points on a Line
  80.    wt: 1:   PS H Distributive Law For Complex Numbers
  81.    wt: 1:   PS G Rotation Distributes over Addition
  82.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  83.    wt: 1:   17 Right Bisectors of Triangle Sides
  84.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  85.    wt: 1:   9 Construction of a right bisector
  86.    wt: 1:   8 Isoceles Triangles
  87.    wt: 1:   3 Isometry of Triangles Congruence
  88.    wt: 1:   A Measurement with Ruler Proper Use
  89.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  90.    wt: 1:   musings do not puiblish real numbers
  91.    wt: 1:   26 More Less Greater Than Comparison
  92.    wt: 1:   23 Distributive Law Two Derivations
  93.    wt: 1:   9 Division with Digits after Decimal Point
  94.    wt: 1:   8 Division and Mulplication of Compound Fractions
  95.    wt: 1:   E Long Division Methods more
  96.    wt: 1:   D Long Division Methods
  97.    wt: 1:   B Decimal Comparison and Subtraction
  98.    wt: 1:   5 Distributive Law for Whole Numbers
  99.    wt: 1:   5 Areas of Rectangles Revisited
  100.    wt: 1:   1 What is Proportionality
  101.    wt: 1:   4 Subtraction and Division Axioms
  102.    wt: 1:   1 Equivalent Computation Rules
  103.    wt: 1:   4 Comparison of Negative Numbers
  104.    wt: 1:   1 Real Numbers Comparison
  105.    wt: 1:   16 Real Numbers Comparison
  106.    wt: 1:   15 Real Number Division
  107.    wt: 1:   2 Computation Rules Evaluation
  108.    wt: 1:   More Exercises
  109.    wt: 1:   Simple Exercises
  110.    wt: 1:   2 GE II Comparison
  111.    wt: 1:   4 Solving a triangular system exercise
  112.    wt: 1:   2 Essentially one exercises three with solution
  113.    wt: 1:   11 Volume of Sphere
  114.    wt: 1:   10 Volume of Pyramid
  115.    wt: 1:   9 Volume of Cone
  116.    wt: 1:   5 Box Volume Formula Example
  117.    wt: 1:   9 Sets in Probability and Statistics
  118.    wt: 1:   6 Three Notions of What is a Variable
  119.    wt: 1:   2 What is a Variable
  120.    wt: 1:   3 Comparison of Negative Numbers
  121.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  122.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  123.    wt: 1:   5 Common Divisors 60 45 via Prime
  124.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  125.    wt: 1:   2 Least Common Multiple LCM intro via list method
  126.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  127.    wt: 1:   4 Counting with Trees Product Rule Take I
  128.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  129.    wt: 1:   16 Addition Subtraction Comparision Compared
  130.    wt: 1:   13 Fraction Comparison Algebraic View
  131.    wt: 1:   12 Fraction Comparison
  132.    wt: 1:   1 What is a fraction Take II
  133.    wt: 1:   1 What is a fraction
  134.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  135.    wt: 1:   D Remainders Modulo 11 Pair Rule
  136.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  137.    wt: 1:   B Integer Long Division Multiple Choices
  138.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  139.    wt: 1:   26 Divisibility by 2 3 5 Example
  140.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  141.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  142.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  143.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  144.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  145.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  146.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  147.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  148.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  149.    wt: 1:   11 Efficient Square Rule Use
  150.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  151.    wt: 1:   5 Prime Factorization and a Square Rule
  152.    wt: 1:   Long Division Backwards more
  153.    wt: 1:   Long Division Backward
  154.    wt: 1:   Division with Counts and Length
  155.    wt: 1:   Long Division forwards and backwards Example 3
  156.    wt: 1:   Long Division forwards and backwards Example 2
  157.    wt: 1:   Long Division forwards and backwards Example 1
  158.    wt: 1:   12 Why Long Division Works Take III
  159.    wt: 1:   11 Another Single Digit Divisor Example
  160.    wt: 1:   10 Division by Five Long and Short Ways
  161.    wt: 1:   9 Why Long Division Works Take II
  162.    wt: 1:   8 Correcting the Mistake
  163.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  164.    wt: 1:   5 Long Division Include Zeroes or not
  165.    wt: 1:   4 Division with 2 Digit Divsors
  166.    wt: 1:   A Elementary Basis for Multiplication Methods
  167.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  168.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  169.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  170.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  171.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  172.    wt: 1:   Quick history of numbers and algebra
  173.    wt: 1:   The 12 Times Table Visually
  174.    wt: 1:   012 Division of Time Intervals by Time Intervals
  175.    wt: 1:   011 Division of Time Intervals By Numbers
  176.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  177.    wt: 1:   6 How long is a million seconds
  178.    wt: 1:   Example 2 volume of a cone
  179.    wt: 1:   Example 1 volume of a pyramid
  180.    wt: 1:   Volume of Solid by Cross Sections Lesson
  181.    wt: 1:   A Related Material in Volume 3
  182.    wt: 1:   5 Area Under Curve Exercise
  183.    wt: 1:   4 Definite Integrals Evaluation Exercises
  184.    wt: 1:   2 Indefinite Integrals Exercises
  185.    wt: 1:   1 Chain Rule in Reverse Integration Method
  186.    wt: 1:   A Related lessons in Volume 3
  187.    wt: 1:   4 Second derivative test exercise example
  188.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  189.    wt: 1:   A Chain Rule Real Player video examples
  190.    wt: 1:   33 Chain Rule Real Player video examples
  191.    wt: 1:   30Chain Rule A Proof
  192.    wt: 1:   29 Chain Rule Optional Reading
  193.    wt: 1:   28 Chain Rule Preparation for a Proof
  194.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  195.    wt: 1:   25 Chain Rule Animated Examples Continued
  196.    wt: 1:   24 Chain Rule Animated Examples
  197.    wt: 1:   23 Chain Rule in general
  198.    wt: 1:   22 Chain Rule for polynomials
  199.    wt: 1:   21 Chain Rule for powers
  200.    wt: 1:   20 Chain Rule for Pulley Systems
  201.    wt: 1:   19 Chain Rule for linear functions
  202.    wt: 1:   18 Chain Rule Introduction
  203.    wt: 1:   12 Quotient rule examples
  204.    wt: 1:   11 Quotient rule
  205.    wt: 1:   10 Power rule for negative integers
  206.    wt: 1:   9 Reciprocal rule
  207.    wt: 1:   5 Product Rule
  208.    wt: 1:   4 Sum Rule
  209.    wt: 1:   Chapter 4. More Slope Sign Analysis
  210.    wt: 1:   Chapter 3. Slope Sign Analysis
  211.    wt: 1:   Chapter 31 Direct and Indirect Reason
  212.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  213.    wt: 1:   Chapter 18. Rules for Algebra
  214.    wt: 1:   Postscript What is a Variable
  215.    wt: 1:   Solutions For Arithmetic Exercises
  216.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  217.    wt: 1:   Chapter 4 Longer Chains of Reason
  218.    wt: 1:   Chapter 3 Chains of Reason
  219.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  220.    wt: 1:   Postscript B More on Story Telling and Reason
  221.    wt: 1:   Chapter 24 Direct and Indirect Reason
  222.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  223.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  224.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  225.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  226.    wt: 1:   Chapter 7 Longer Chains of Reason
  227.    wt: 1:   Chapter 6 Chains of Reason
  228.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  229.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  230.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  231.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  232.    wt: 1:   More Algebra and Slope based Calculus Preview
  233.    wt: 1:   Systematic Algebra Skill Development Missing Links

Extended Search

421 matches:

  1.    wt: 8:   Postscript C Consistency as a Tool for Reason
  2.    wt: 8:   Chapter 16 Origins and Limitations of Rules and Patterns
  3.    wt: 8:   Chapter 12 Islands and Divisions of Knowledge
  4.    wt: 8:   Chapter 11 Accidental Patterns
  5.    wt: 7:   Postscript B More on Story Telling and Reason
  6.    wt: 7:   Chapter 24 Direct and Indirect Reason
  7.    wt: 7:   Chapter 19 What is in chapters 20 to 24
  8.    wt: 7:   Chapter 17 Objective Ways Trial and Error Discovery
  9.    wt: 7:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  10.    wt: 7:   Chapter 9 What is in Chapters 10 to 18
  11.    wt: 7:   Chapter 7 Longer Chains of Reason
  12.    wt: 7:   Chapter 6 Chains of Reason
  13.    wt: 7:   Chapter 4 Implication Rules Forwards and Backwards
  14.    wt: 7:   Chapter 3 What is in chapters 4 to 8
  15.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  16.    wt: 6:   Postscript A Story Telling
  17.    wt: 6:   Chapter 23 Truth Tables
  18.    wt: 6:   Chapter 22 Contrapositive and Vacuously True Implications
  19.    wt: 6:   Chapter 21 Occurrence Tables
  20.    wt: 6:   Chapter 20 Shorthand Symbols as Pronouns
  21.    wt: 6:   Chapter 18 Sense and Knowledge
  22.    wt: 6:   Chapter 15 Objective Processes
  23.    wt: 6:   Chapter 14 Deductive and Empirical Views of Mathematics
  24.    wt: 6:   Chapter 10 Responsibility
  25.    wt: 6:   Chapter 8 Change of Language
  26.    wt: 6:   Chapter 5 Deception
  27.    wt: 6:   Chapter 2 Skill Development
  28.    wt: 6:   Chapter 1 Introduction
  29.    wt: 6:   Three Remarks
  30.    wt: 6:   Foreword
  31.    wt: 4:   chapitre 12 00 les iles et division
  32.    wt: 4:   chapitre 07 00 Des chaines plus longues de la raison
  33.    wt: 4:   chapitre 06 00 Chaines de la raison
  34.    wt: 4:   chapitre 04 10 Etapes pour une meilleur raison
  35.    wt: 4:   Chapter 6 Rule Based Reason in Mathematics
  36.    wt: 3:   chapitre 07 01 principle D induction mathematique
  37.    wt: 3:   chapitre 05 00 Deception
  38.    wt: 3:   chapitre 04 09 Regles accidentelles
  39.    wt: 3:   chapitre 04 08 Limitations et benefices
  40.    wt: 3:   chapitre 04 07 RepetablesEtReproductibles
  41.    wt: 3:   chapitre 04 06 engagements
  42.    wt: 3:   chapitre 04 05 Implication versus suggestion
  43.    wt: 3:   chapitre 04 04 Parlons de la logique
  44.    wt: 3:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  45.    wt: 3:   chapitre 04 02 Deuxieme enigme
  46.    wt: 3:   chapitre 04 01 Premiere enigme
  47.    wt: 3:   chapitre 04 00 Les regles d implication
  48.    wt: 3:   chapitre 03 A Propos Des Prochains Chapitre
  49.    wt: 3:   chapitre 02 00 La Communication des idees
  50.    wt: 3:   chapitre 01 00 Introduction
  51.    wt: 3:   7 Long Divison Mistake Catching
  52.    wt: 3:   3 Division Single Digit Divisor Example
  53.    wt: 3:   2 Division with Single Digit Divisors
  54.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  55.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  56.    wt: 2:   Trois Notions qui menent a algebre
  57.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  58.    wt: 2:   sign monoticity analysis example 4
  59.    wt: 2:   sign monoticity analysis example 3
  60.    wt: 2:   sign monoticity analysis example 2
  61.    wt: 2:   sign monoticity analysis example 1
  62.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  63.    wt: 2:   4 Polynomials Long division linear divisor
  64.    wt: 2:   7 Tangent Function is odd on this domain
  65.    wt: 2:   11 Triangle Similarity Missing Side Problem
  66.    wt: 2:   What is and is not here
  67.    wt: 2:   6 Ruler and compass Angle Bisection
  68.    wt: 2:   5 Areas of Rectangles Revisited
  69.    wt: 2:   4 Comparison of Negative Numbers
  70.    wt: 2:   1 Real Numbers Comparison
  71.    wt: 2:   2 Computation Rules Evaluation
  72.    wt: 2:   3 Comparison of Negative Numbers
  73.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  74.    wt: 2:   26 Divisibility by 2 3 5 Example
  75.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  76.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  77.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  78.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  79.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  80.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  81.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  82.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  83.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  84.    wt: 2:   Long Division Backwards more
  85.    wt: 2:   Long Division Backward
  86.    wt: 2:   Division with Counts and Length
  87.    wt: 2:   Long Division forwards and backwards Example 3
  88.    wt: 2:   Long Division forwards and backwards Example 2
  89.    wt: 2:   Long Division forwards and backwards Example 1
  90.    wt: 2:   12 Why Long Division Works Take III
  91.    wt: 2:   11 Another Single Digit Divisor Example
  92.    wt: 2:   10 Division by Five Long and Short Ways
  93.    wt: 2:   9 Why Long Division Works Take II
  94.    wt: 2:   8 Correcting the Mistake
  95.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  96.    wt: 2:   5 Long Division Include Zeroes or not
  97.    wt: 2:   4 Division with 2 Digit Divsors
  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:   Area Between Curves Lesson Take 2
  102.    wt: 2:   A Related Material in Volume 3
  103.    wt: 2:   3 Two Chain Rule Method Exercises
  104.    wt: 2:   26 Chain Rule Recognising outer inner functions
  105.    wt: 2:   6 Power rule from product rule
  106.    wt: 2:   Chapter 4. More Slope Sign Analysis
  107.    wt: 2:   Chapter 3. Slope Sign Analysis
  108.    wt: 2:   Chapter 31 Direct and Indirect Reason
  109.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  110.    wt: 2:   Chapter 18. Rules for Algebra
  111.    wt: 2:   Postscript What is a Variable
  112.    wt: 2:   Solutions For Arithmetic Exercises
  113.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  114.    wt: 2:   Chapter 4 Longer Chains of Reason
  115.    wt: 2:   Chapter 3 Chains of Reason
  116.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  117.    wt: 1:   F LAMP Introduction Prerequisites
  118.    wt: 1:   10 statistics
  119.    wt: 1:   What is POMME
  120.    wt: 1:   permissions for teachers
  121.    wt: 1:   Education Reform Inconsistencies
  122.    wt: 1:   teaching tutoring algebraic reason
  123.    wt: 1:   Different Kinds of Reasoning in maths
  124.    wt: 1:   three kinds of reason in mathematics
  125.    wt: 1:   liens
  126.    wt: 1:   problemes responses
  127.    wt: 1:   problemes algebre et arithmetique
  128.    wt: 1:   deux definitions pour variable
  129.    wt: 1:   logique deux enigme
  130.    wt: 1:   2 Conductance Resistance Duality02
  131.    wt: 1:   1 Conductance Resistance Duality01
  132.    wt: 1:   F Wire Resistance Calculation04
  133.    wt: 1:   E Wire Resistance Calculation03
  134.    wt: 1:   D Wire Resistance Calculation02
  135.    wt: 1:   C Wire Resistance Calculation01
  136.    wt: 1:   B Wire Resistance Qualitative02
  137.    wt: 1:   A Wire Resistance Qualitative01
  138.    wt: 1:   3 Like resistors in parallel
  139.    wt: 1:   2 Unlike resistors in parallel01
  140.    wt: 1:   1 Like resistors in series
  141.    wt: 1:   F Unlike Resistors in Series
  142.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  143.    wt: 1:   19 Horizontal line rule and method
  144.    wt: 1:   18 Vertical Line Rule and Method
  145.    wt: 1:   15 Sign analysis of functions
  146.    wt: 1:   12 Function Domain Recognition Exercises
  147.    wt: 1:   6 Set Existence Formation and Notation
  148.    wt: 1:   3 Formula or function graphing exercise
  149.    wt: 1:   10 quadratic exercises
  150.    wt: 1:   1 quadratics graphing exercises
  151.    wt: 1:   5 Natural Logarithm Calculator Exercises
  152.    wt: 1:   1 Calculator Starter Exercises
  153.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  154.    wt: 1:   1 Polynomials Distributive Law
  155.    wt: 1:   5 Swapping Coordinates is a reflection
  156.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  157.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  158.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  159.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  160.    wt: 1:   17D cis formulas for sine cosines and tangent
  161.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  162.    wt: 1:   17A The complex number valued trig function cis
  163.    wt: 1:   12 cis formulas for sine cosines and tangent
  164.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  165.    wt: 1:   9 The complex number valued trig function cis
  166.    wt: 1:   5 An Easy Proof of the Distributive Law
  167.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  168.    wt: 1:   12 Triangles Similarity More Problems
  169.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  170.    wt: 1:   9 Similarity of Triangles Usual Criteria
  171.    wt: 1:   8 Similarity of Triangles and Polygons
  172.    wt: 1:   7 Translations Rotations Reflections Dilatations
  173.    wt: 1:   6 Geometric Diagrams in Class
  174.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  175.    wt: 1:   4 Similarity Definition with Coordinate
  176.    wt: 1:   3 Similarity by Design with coordinates
  177.    wt: 1:   2 Similarity By Design
  178.    wt: 1:   1 Early Concept of Like or Similar Shapes
  179.    wt: 1:   Four Simple Exercises
  180.    wt: 1:   7 Exercises to test skill and concept mastery
  181.    wt: 1:   13 Pythagorean spatial distance formulas
  182.    wt: 1:   10 Pythagorean plane distance formula
  183.    wt: 1:   8 Distance Between Points on a Line
  184.    wt: 1:   PS H Distributive Law For Complex Numbers
  185.    wt: 1:   PS G Rotation Distributes over Addition
  186.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  187.    wt: 1:   17 Right Bisectors of Triangle Sides
  188.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  189.    wt: 1:   9 Construction of a right bisector
  190.    wt: 1:   8 Isoceles Triangles
  191.    wt: 1:   3 Isometry of Triangles Congruence
  192.    wt: 1:   A Measurement with Ruler Proper Use
  193.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  194.    wt: 1:   musings do not puiblish real numbers
  195.    wt: 1:   26 More Less Greater Than Comparison
  196.    wt: 1:   23 Distributive Law Two Derivations
  197.    wt: 1:   9 Division with Digits after Decimal Point
  198.    wt: 1:   8 Division and Mulplication of Compound Fractions
  199.    wt: 1:   E Long Division Methods more
  200.    wt: 1:   D Long Division Methods
  201.    wt: 1:   B Decimal Comparison and Subtraction
  202.    wt: 1:   5 Distributive Law for Whole Numbers
  203.    wt: 1:   4 Fraction Operations Axiomatic Development
  204.    wt: 1:   3 Inequalities Algebraically
  205.    wt: 1:   2 Fraction Operations Physical Development
  206.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  207.    wt: 1:   1 What is Proportionality
  208.    wt: 1:   4 Subtraction and Division Axioms
  209.    wt: 1:   1 Equivalent Computation Rules
  210.    wt: 1:   5 Greater More Less Than Signs in General
  211.    wt: 1:   3 More and Less Than with Unlike Signs
  212.    wt: 1:   2 More and Less Than for Counts and Measures
  213.    wt: 1:   16 Real Numbers Comparison
  214.    wt: 1:   15 Real Number Division
  215.    wt: 1:   5 Independent versus Dependent Variables
  216.    wt: 1:   4 Changing Letters
  217.    wt: 1:   3 Geometric Formulas and Function Notation
  218.    wt: 1:   1 Formulas Dependence and Function Notation
  219.    wt: 1:   More Exercises
  220.    wt: 1:   Simple Exercises
  221.    wt: 1:   2 GE II Comparison
  222.    wt: 1:   4 Solving a triangular system exercise
  223.    wt: 1:   2 Essentially one exercises three with solution
  224.    wt: 1:   11 Volume of Sphere
  225.    wt: 1:   10 Volume of Pyramid
  226.    wt: 1:   9 Volume of Cone
  227.    wt: 1:   5 Box Volume Formula Example
  228.    wt: 1:   9 Sets in Probability and Statistics
  229.    wt: 1:   6 Three Notions of What is a Variable
  230.    wt: 1:   2 What is a Variable
  231.    wt: 1:   4 Greater More Less Than Signs in General
  232.    wt: 1:   2 More and Less Than with Unlike Signs
  233.    wt: 1:   1 More and Less Than for Counts and Measures
  234.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  235.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  236.    wt: 1:   5 Common Divisors 60 45 via Prime
  237.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  238.    wt: 1:   2 Least Common Multiple LCM intro via list method
  239.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  240.    wt: 1:   4 Counting with Trees Product Rule Take I
  241.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  242.    wt: 1:   16 Addition Subtraction Comparision Compared
  243.    wt: 1:   13 Fraction Comparison Algebraic View
  244.    wt: 1:   12 Fraction Comparison
  245.    wt: 1:   1 What is a fraction Take II
  246.    wt: 1:   1 What is a fraction
  247.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  248.    wt: 1:   D Remainders Modulo 11 Pair Rule
  249.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  250.    wt: 1:   B Integer Long Division Multiple Choices
  251.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  252.    wt: 1:   23 Remainder Arithmetic Modulo 2
  253.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  254.    wt: 1:   21 Remainder Arithmetic Modulo 3
  255.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  256.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  257.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  258.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  259.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  260.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  261.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  262.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  263.    wt: 1:   5 Remainder Arithmetic Modulo 5
  264.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  265.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  266.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  267.    wt: 1:   1 Remainder Arithmetic Modulo 10
  268.    wt: 1:   11 Efficient Square Rule Use
  269.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  270.    wt: 1:   5 Prime Factorization and a Square Rule
  271.    wt: 1:   1 Divsion Physical Examples
  272.    wt: 1:   A Elementary Basis for Multiplication Methods
  273.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  274.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  275.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  276.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  277.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  278.    wt: 1:   Quick history of numbers and algebra
  279.    wt: 1:   The 12 Times Table Visually
  280.    wt: 1:   012 Division of Time Intervals by Time Intervals
  281.    wt: 1:   011 Division of Time Intervals By Numbers
  282.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  283.    wt: 1:   6 How long is a million seconds
  284.    wt: 1:   Example 1. Area Between x and x squared
  285.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  286.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  287.    wt: 1:   Example 4 with x function of y
  288.    wt: 1:   Example 3
  289.    wt: 1:   Example 2
  290.    wt: 1:   Example 1
  291.    wt: 1:   Area Between Curves Lesson Take 1
  292.    wt: 1:   Summary
  293.    wt: 1:   5 Area Under Curve Exercise
  294.    wt: 1:   4 Definite Integrals Evaluation Exercises
  295.    wt: 1:   2 Indefinite Integrals Exercises
  296.    wt: 1:   1 Chain Rule in Reverse Integration Method
  297.    wt: 1:   A Related lessons in Volume 3
  298.    wt: 1:   4 Second derivative test exercise example
  299.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  300.    wt: 1:   A Chain Rule Real Player video examples
  301.    wt: 1:   33 Chain Rule Real Player video examples
  302.    wt: 1:   30Chain Rule A Proof
  303.    wt: 1:   29 Chain Rule Optional Reading
  304.    wt: 1:   28 Chain Rule Preparation for a Proof
  305.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  306.    wt: 1:   25 Chain Rule Animated Examples Continued
  307.    wt: 1:   24 Chain Rule Animated Examples
  308.    wt: 1:   23 Chain Rule in general
  309.    wt: 1:   22 Chain Rule for polynomials
  310.    wt: 1:   21 Chain Rule for powers
  311.    wt: 1:   20 Chain Rule for Pulley Systems
  312.    wt: 1:   19 Chain Rule for linear functions
  313.    wt: 1:   18 Chain Rule Introduction
  314.    wt: 1:   12 Quotient rule examples
  315.    wt: 1:   11 Quotient rule
  316.    wt: 1:   10 Power rule for negative integers
  317.    wt: 1:   9 Reciprocal rule
  318.    wt: 1:   5 Product Rule
  319.    wt: 1:   4 Sum Rule
  320.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  321.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  322.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  323.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  324.    wt: 1:   G.5 Motions With Bounded Velocities
  325.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  326.    wt: 1:   G.3 Constant Difference Theorem Proof
  327.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  328.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  329.    wt: 1:   F.5b Extreme Value Theorem
  330.    wt: 1:   F.5a Equicontinuity Theorems
  331.    wt: 1:   F.4 Finite Covering Theorem
  332.    wt: 1:   F.3 Intermediate Value Theorem
  333.    wt: 1:   F.2 Closed Range Theorem
  334.    wt: 1:   F.1 What Functions are Continuous
  335.    wt: 1:   E2 Algebraic Properties of Limits
  336.    wt: 1:   E1 Error Control Inequalities
  337.    wt: 1:   D2 Limits of Monotone Sequences
  338.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  339.    wt: 1:   C Triangle Inequalities
  340.    wt: 1:   B3 Bolzano Weierstrass Theorem
  341.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  342.    wt: 1:   PostScript For and Against Decimal Perspectives
  343.    wt: 1:   A1. Introduction
  344.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  345.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  346.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  347.    wt: 1:   Chapter 23 Links To Trigonometry
  348.    wt: 1:   Chapter 22 Complex Numbers
  349.    wt: 1:   Chapter 21 Arrow Addition
  350.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  351.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  352.    wt: 1:   Chapter 18. Slopes Areas Integration
  353.    wt: 1:   Chapter 17. Area Approximation
  354.    wt: 1:   Chapter 16. Velocity Approximation
  355.    wt: 1:   Chapter 15. Slope Approximation
  356.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  357.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  358.    wt: 1:   Chapter 13. Acceleration
  359.    wt: 1:   Chapter 12. Units and Slopes
  360.    wt: 1:   Chapter 11. Graphing Slope versus Position
  361.    wt: 1:   Chapter 10 Slopes and Units
  362.    wt: 1:   Chapter 9 About First Courses in Calculus
  363.    wt: 1:   Chapter 8. Slope Interpretation
  364.    wt: 1:   Chapter 7 Slopes and Velocity
  365.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  366.    wt: 1:   Chapter 5. Slope Sign Tests
  367.    wt: 1:   Chapter 2. Slopes and Ski Trails
  368.    wt: 1:   Chapter 1.Introduction
  369.    wt: 1:   Fall 1983 Calculus Appetizer
  370.    wt: 1:   Foreword
  371.    wt: 1:   Postscript More on Better Performance
  372.    wt: 1:   Postscript For Better Performance
  373.    wt: 1:   Appendix E. How To Study Mathematics and Why
  374.    wt: 1:   Appendix D. What to do in School and Why
  375.    wt: 1:   Appendix C. How to Read
  376.    wt: 1:   Appendix B. How To Learn
  377.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  378.    wt: 1:   Chapter 30 Truth Tables
  379.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  380.    wt: 1:   Chapter 28 Occurrence Tables
  381.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  382.    wt: 1:   Chapter 25. Mathematical Induction Examples
  383.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  384.    wt: 1:   Chapter 23. Notation For Sums
  385.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  386.    wt: 1:   Chapter 21. Third Reading Guide
  387.    wt: 1:   Chapter 20. Degrees and Radians
  388.    wt: 1:   Chapter 19. Functions and Sets
  389.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  390.    wt: 1:   Chapter 16. Painless Theorem Proving
  391.    wt: 1:   Chapter 15. Solving Linear Equations
  392.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  393.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  394.    wt: 1:   Chapter 13. Second Reading Guide
  395.    wt: 1:   Chapter 12. Shorthand Usage Guide
  396.    wt: 1:   Chapter 11. Why Shorthand
  397.    wt: 1:   Chapter 10 Describing and Changing Calculations
  398.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  399.    wt: 1:   Chapter 8 Three Skills For Algebra
  400.    wt: 1:   Chapter 6 Change of Language
  401.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  402.    wt: 1:   Foreword
  403.    wt: 1:   Annotated Links to Material Elsehwere
  404.    wt: 1:   Postscript B Mathematics Education References
  405.    wt: 1:   Postscript A Three Remarks
  406.    wt: 1:   Chapter 12 Four Phases
  407.    wt: 1:   Chapter 11 Elementary Instruction
  408.    wt: 1:   Chapter 10 Transition
  409.    wt: 1:   Chapter 9 The Two Ends
  410.    wt: 1:   Chapter 8 Modern Instruction
  411.    wt: 1:   Chapter 7 Two Treatments of Geometry
  412.    wt: 1:   Chapter 5 Four References
  413.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  414.    wt: 1:   Chapter 3 Algebra Difficulties
  415.    wt: 1:   Chapter 2 For and Against Mathematics
  416.    wt: 1:   Chapter 1 Introduction
  417.    wt: 1:   Foreword
  418.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  419.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  420.    wt: 1:   More Algebra and Slope based Calculus Preview
  421.    wt: 1:   Systematic Algebra Skill Development Missing Links

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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.