Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic and Pattern Based Reason to inform and amuse.

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 material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin.

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 focus on skills with actual or potential local 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: 4:   Mathematics Education Essays/
  2.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 1:   LAMP Lean Applied Mathematics Program/
  4.    wt: 1:   Archives/
  5.    wt: 1:   A Origins of Counting and Figuring Methods/
  6.    wt: 1:   Step 1 Stick diagram and fractions/
  7.    wt: 1:   7 Arithmetic and Fractions with Units/
  8.    wt: 1:   6 Fractions and Ratios/
  9.    wt: 1:   D Decimal Long Division Methods/
  10.    wt: 1:   C Decimal Multiplication Methods/
  11.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  12.    wt: 1:   A Decimal Counting and Adding Methods/
  13.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/

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70 matches:

  1.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  2.    wt: 1:   K LAMP Musings Science Education
  3.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  4.    wt: 1:   8 analytic geometry etc
  5.    wt: 1:   6 polynomials etc
  6.    wt: 1:   5 logarithms and exponentials etc
  7.    wt: 1:   links Education Resources online
  8.    wt: 1:   Mathematics Education Professors
  9.    wt: 1:   modern education
  10.    wt: 1:   Education Reform Inconsistencies
  11.    wt: 1:   three goals for Mathematics Education
  12.    wt: 1:   02 20 mathematics education references
  13.    wt: 1:   Education in mathematics science and technology
  14.    wt: 1:   Four ways to improve education reform
  15.    wt: 1:   education an empirical art
  16.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  17.    wt: 1:   11 Help and Defend Your Child or Teens Education
  18.    wt: 1:   A Quadratics Summary
  19.    wt: 1:   9 Summary Degrees to Radians and back
  20.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  21.    wt: 1:   11 A Partial Summary
  22.    wt: 1:   PS B Parallelogram Construction Methods
  23.    wt: 1:   PS A Kite Construction Methods
  24.    wt: 1:   8 Division and Mulplication of Compound Fractions
  25.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  26.    wt: 1:   1 Fractions with Finite Decimal Expansions
  27.    wt: 1:   E Long Division Methods more
  28.    wt: 1:   D Long Division Methods
  29.    wt: 1:   C Three Decimal Subtraction Methods
  30.    wt: 1:   A Decimal Addition Columm Methods
  31.    wt: 1:   8 Column Multiplication Methods in General
  32.    wt: 1:   7 Decimals Multiplication Methods Examples
  33.    wt: 1:   6 Column Methods for Decimal Multiplication
  34.    wt: 1:   5 Proportionality in Equivalent Fractions
  35.    wt: 1:   3 Fractions
  36.    wt: 1:   3 Counting with Sets etc
  37.    wt: 1:   1 Counting and Counting Methods I
  38.    wt: 1:   6 Simplification of Fractions with Units
  39.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  40.    wt: 1:   4 Fractions with Units
  41.    wt: 1:   B Fractions and Two Term Ratios
  42.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  43.    wt: 1:   22 Complex Compound Fractions
  44.    wt: 1:   21 Reciprocals for Fractions and Wholes
  45.    wt: 1:   20 Dividing Fractions the Why
  46.    wt: 1:   19 Dividing Fractions How TO
  47.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  48.    wt: 1:   9 Improper Fractions and Mixed Numbers
  49.    wt: 1:   5 Equivalent Fractions
  50.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  51.    wt: 1:   D Decimal Multiplication Methods Derived
  52.    wt: 1:   A Elementary Basis for Multiplication Methods
  53.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  54.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  55.    wt: 1:   7 Adding decimal fractions using decimal point
  56.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  57.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  58.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  59.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  60.    wt: 1:   Exact Arithmetic Wholes and Fractions
  61.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  62.    wt: 1:   Summary
  63.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  64.    wt: 1:   Postscript B Mathematics Education References
  65.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  66.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  67.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  68.    wt: 1:   Mathematics Education References
  69.    wt: 1:   Mathematics Education References
  70.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel

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266 matches:

  1.    wt: 5:   links Education Resources online
  2.    wt: 5:   Mathematics Education Professors
  3.    wt: 5:   modern education
  4.    wt: 5:   Education Reform Inconsistencies
  5.    wt: 5:   three goals for Mathematics Education
  6.    wt: 5:   02 20 mathematics education references
  7.    wt: 5:   Education in mathematics science and technology
  8.    wt: 5:   Four ways to improve education reform
  9.    wt: 5:   education an empirical art
  10.    wt: 4:   why bother
  11.    wt: 4:   which way to go
  12.    wt: 4:   website reviews
  13.    wt: 4:   three goals to set for students
  14.    wt: 4:   Teach the teachers plus goals
  15.    wt: 4:   permissions for teachers
  16.    wt: 4:   Math Ed if it must be short make it lean effective
  17.    wt: 4:   Applied Maths Program14092009 POMME variant
  18.    wt: 4:   activities for students
  19.    wt: 4:   site origins
  20.    wt: 4:   site eurekas
  21.    wt: 4:   About site lesson plans
  22.    wt: 4:   key notes and themes
  23.    wt: 4:   teacher certification
  24.    wt: 4:   learning takes time
  25.    wt: 4:   grouping students according to ability
  26.    wt: 4:   what should be learnt and When
  27.    wt: 4:   mathematics in context
  28.    wt: 4:   Postscript 2007 01 10
  29.    wt: 4:   five decades make a difference
  30.    wt: 4:   Maps Plans Drawings
  31.    wt: 4:   how letters appear
  32.    wt: 4:   Secondary Three Mathematics
  33.    wt: 4:   Secondary Two Mathematics
  34.    wt: 4:   Secondary One Mathematics
  35.    wt: 4:   talk the algebra talk
  36.    wt: 4:   three difficulties
  37.    wt: 4:   teaching tips
  38.    wt: 4:   What to Tell Students
  39.    wt: 4:   mathematics curriculum shifts
  40.    wt: 4:   geometric implications for algebra
  41.    wt: 4:   teaching tutoring algebraic reason
  42.    wt: 4:   Lessening Algebra Difficulties
  43.    wt: 4:   the trouble with algebra
  44.    wt: 4:   05 13 OldSiteEntrancePage
  45.    wt: 4:   04 29 New Mathematics Curriculum
  46.    wt: 4:   04 25 when to stop or suspend mathemat
  47.    wt: 4:   02 21 words for teachers
  48.    wt: 4:   three aims for mathematics students
  49.    wt: 4:   standards for course material
  50.    wt: 4:   Operational Viewpoint to Value
  51.    wt: 4:   formal or informal peer review
  52.    wt: 4:   Theory of Knowledge
  53.    wt: 4:   mathematics instruction in general
  54.    wt: 4:   Different Kinds of Reasoning in maths
  55.    wt: 4:   three kinds of reason in mathematics
  56.    wt: 4:   cultivating intelligence
  57.    wt: 4:   How to be a better instructor
  58.    wt: 4:   Motivation and Context Problem
  59.    wt: 4:   need for a mixed mathematics curriculum
  60.    wt: 4:   Leaner mathematics curriculum
  61.    wt: 4:   Prequel In For A Penny In For A Pound
  62.    wt: 4:   fairness and inductive principles for instruction
  63.    wt: 4:   words for mathematics instructor
  64.    wt: 3:   8 analytic geometry etc
  65.    wt: 3:   6 polynomials etc
  66.    wt: 3:   5 logarithms and exponentials etc
  67.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  68.    wt: 2:   K LAMP Musings Science Education
  69.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  70.    wt: 2:   11 pure mathematics
  71.    wt: 2:   10 statistics
  72.    wt: 2:   9 combinatorics probability sets
  73.    wt: 2:   7 logic review and decimals an odd combination
  74.    wt: 2:   4 algebra
  75.    wt: 2:   3 Euclidean Geometry Leanly
  76.    wt: 2:   2 arithmetic with signed numbers
  77.    wt: 2:   1 arithmetic with unsigned numbers
  78.    wt: 2:   What is POMME
  79.    wt: 2:   E Long Division Methods more
  80.    wt: 2:   D Long Division Methods
  81.    wt: 2:   C Three Decimal Subtraction Methods
  82.    wt: 2:   A Decimal Addition Columm Methods
  83.    wt: 2:   8 Column Multiplication Methods in General
  84.    wt: 2:   7 Decimals Multiplication Methods Examples
  85.    wt: 2:   6 Column Methods for Decimal Multiplication
  86.    wt: 2:   6 Simplification of Fractions with Units
  87.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  88.    wt: 2:   4 Fractions with Units
  89.    wt: 2:   B Fractions and Two Term Ratios
  90.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  91.    wt: 2:   22 Complex Compound Fractions
  92.    wt: 2:   21 Reciprocals for Fractions and Wholes
  93.    wt: 2:   20 Dividing Fractions the Why
  94.    wt: 2:   19 Dividing Fractions How TO
  95.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  96.    wt: 2:   9 Improper Fractions and Mixed Numbers
  97.    wt: 2:   5 Equivalent Fractions
  98.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  99.    wt: 2:   D Decimal Multiplication Methods Derived
  100.    wt: 2:   A Elementary Basis for Multiplication Methods
  101.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  102.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  103.    wt: 2:   7 Adding decimal fractions using decimal point
  104.    wt: 1:   Appendix 2 primary school Arithmetic 01
  105.    wt: 1:   Appendix 1 primary and preschool mathematic
  106.    wt: 1:   J LAMP Introduction Extrinsic Origins
  107.    wt: 1:   I LAMP Introduction Study Habits
  108.    wt: 1:   H LAMP Introduction Instructional Concepts
  109.    wt: 1:   G LAMP Introduction Problem Solving Skills
  110.    wt: 1:   F LAMP Introduction Prerequisites
  111.    wt: 1:   E LAMP Introduction Modern Mathematics
  112.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  113.    wt: 1:   A Introduction Objectives
  114.    wt: 1:   Skills Chapter 5 Calculus
  115.    wt: 1:   Skills Chapter 4 Logic
  116.    wt: 1:   Ramblings Extrinsic numbers theory
  117.    wt: 1:   Ramblings Introduction Algebra Essay
  118.    wt: 1:   Skills Chapter 3 Algebra
  119.    wt: 1:   Skills Chapter 2 Geometry
  120.    wt: 1:   Skills Chapter 1 Arithmetic
  121.    wt: 1:   Skills Chapter 0 Introduction
  122.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  123.    wt: 1:   11 Help and Defend Your Child or Teens Education
  124.    wt: 1:   A Quadratics Summary
  125.    wt: 1:   9 Summary Degrees to Radians and back
  126.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  127.    wt: 1:   11 A Partial Summary
  128.    wt: 1:   PS B Parallelogram Construction Methods
  129.    wt: 1:   PS A Kite Construction Methods
  130.    wt: 1:   8 Division and Mulplication of Compound Fractions
  131.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  132.    wt: 1:   1 Fractions with Finite Decimal Expansions
  133.    wt: 1:   B Decimal Comparison and Subtraction
  134.    wt: 1:   5 Distributive Law for Whole Numbers
  135.    wt: 1:   4 Commutative Law Groups Counting Form
  136.    wt: 1:   3 Multiplicative Counting Skills Principles
  137.    wt: 1:   2 Combing Counts Addition Skills and Principles
  138.    wt: 1:   1 The Counting Origins of Numbers
  139.    wt: 1:   5 Proportionality in Equivalent Fractions
  140.    wt: 1:   3 Fractions
  141.    wt: 1:   Skill Development Notes
  142.    wt: 1:   10 One Example
  143.    wt: 1:   9 Three Examples
  144.    wt: 1:   8 One Example
  145.    wt: 1:   7 Two Examples
  146.    wt: 1:   6 Three Examples
  147.    wt: 1:   5 Three Examples
  148.    wt: 1:   4 Two Examples
  149.    wt: 1:   3 Two Examples
  150.    wt: 1:   2 Three Examples
  151.    wt: 1:   3 Counting with Sets etc
  152.    wt: 1:   1 Counting and Counting Methods I
  153.    wt: 1:   7 Converting or Changing Units
  154.    wt: 1:   3 Multiplying Units and Numbers
  155.    wt: 1:   2 Equality and Units
  156.    wt: 1:   1 Addition and Subtraction with Units
  157.    wt: 1:   D Three Term Ratios
  158.    wt: 1:   21 Working With Signs
  159.    wt: 1:   18 Efficient Ways to Multiply
  160.    wt: 1:   17 Efficient Ways to Add and Subtract
  161.    wt: 1:   16 Addition Subtraction Comparision Compared
  162.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  163.    wt: 1:   14 Adding and Subtracting with Like Denominators
  164.    wt: 1:   13 Fraction Comparison Algebraic View
  165.    wt: 1:   12 Fraction Comparison
  166.    wt: 1:   11 Simplification an Algebraic View
  167.    wt: 1:   8 Numerals Fractionals Quantals Take II
  168.    wt: 1:   7 Numerals Fractionals Quantals
  169.    wt: 1:   6 Multiplication of Mixed Numbers
  170.    wt: 1:   6 Multiplication Algebraically Take II
  171.    wt: 1:   4 Fraction Multiplication
  172.    wt: 1:   3 Unit fraction of a fraction
  173.    wt: 1:   2 Unit Fraction Multiplication
  174.    wt: 1:   1 What is a fraction Take II
  175.    wt: 1:   1 What is a fraction
  176.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  177.    wt: 1:   Long Division Backwards more
  178.    wt: 1:   Long Division Backward
  179.    wt: 1:   Division with Counts and Length
  180.    wt: 1:   Long Division forwards and backwards Example 3
  181.    wt: 1:   Long Division forwards and backwards Example 2
  182.    wt: 1:   Long Division forwards and backwards Example 1
  183.    wt: 1:   12 Why Long Division Works Take III
  184.    wt: 1:   11 Another Single Digit Divisor Example
  185.    wt: 1:   10 Division by Five Long and Short Ways
  186.    wt: 1:   9 Why Long Division Works Take II
  187.    wt: 1:   8 Correcting the Mistake
  188.    wt: 1:   7 Long Divison Mistake Catching
  189.    wt: 1:   5 Long Division Include Zeroes or not
  190.    wt: 1:   4 Division with 2 Digit Divsors
  191.    wt: 1:   3 Division Single Digit Divisor Example
  192.    wt: 1:   2 Division with Single Digit Divisors
  193.    wt: 1:   1 Divsion Physical Examples
  194.    wt: 1:   C Counting Areas with Powers of Ten
  195.    wt: 1:   B Powers of Ten
  196.    wt: 1:   6 Multiplication Commutes Order Not Important
  197.    wt: 1:   5 Decimal Fraction Multiplication
  198.    wt: 1:   4 Two and Three Digit Multipliers
  199.    wt: 1:   3 More One Digit Multipliers
  200.    wt: 1:   2 One Digit Multipliers
  201.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  202.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  203.    wt: 1:   Video Power Notation in Decimal Expansion
  204.    wt: 1:   1 Why 3 times 5 gives 15
  205.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  206.    wt: 1:   Subtraction with J Conversions Example
  207.    wt: 1:   Subtraction Another Video Lesson
  208.    wt: 1:   9 22 Minute Subtraction Review Video
  209.    wt: 1:   8 Subtraction with Units of Measure
  210.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  211.    wt: 1:   5 A Tip for Efficent Subtraction
  212.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  213.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  214.    wt: 1:   2 Subtraction Easy Case Examples
  215.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  216.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  217.    wt: 1:   8 What skills and work habits to require
  218.    wt: 1:   6. Counting and adding units and mixed units
  219.    wt: 1:   5. How to add decimals C. Examples
  220.    wt: 1:   4. How to add with decimals B with conversions
  221.    wt: 1:   3. How to add with decimals A sans conversions
  222.    wt: 1:   2 Decimal Counting Practices
  223.    wt: 1:   1. Explaining Addition Table
  224.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  225.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  226.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  227.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  228.    wt: 1:   Exact Arithmetic Wholes and Fractions
  229.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  230.    wt: 1:   Summary
  231.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  232.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  233.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  234.    wt: 1:   Chapter 23 Links To Trigonometry
  235.    wt: 1:   Chapter 22 Complex Numbers
  236.    wt: 1:   Chapter 21 Arrow Addition
  237.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  238.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  239.    wt: 1:   Chapter 18. Slopes Areas Integration
  240.    wt: 1:   Chapter 17. Area Approximation
  241.    wt: 1:   Chapter 16. Velocity Approximation
  242.    wt: 1:   Chapter 15. Slope Approximation
  243.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  244.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  245.    wt: 1:   Chapter 13. Acceleration
  246.    wt: 1:   Chapter 12. Units and Slopes
  247.    wt: 1:   Chapter 11. Graphing Slope versus Position
  248.    wt: 1:   Chapter 10 Slopes and Units
  249.    wt: 1:   Chapter 9 About First Courses in Calculus
  250.    wt: 1:   Chapter 8. Slope Interpretation
  251.    wt: 1:   Chapter 7 Slopes and Velocity
  252.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  253.    wt: 1:   Chapter 5. Slope Sign Tests
  254.    wt: 1:   Chapter 4. More Slope Sign Analysis
  255.    wt: 1:   Chapter 3. Slope Sign Analysis
  256.    wt: 1:   Chapter 2. Slopes and Ski Trails
  257.    wt: 1:   Chapter 1.Introduction
  258.    wt: 1:   Fall 1983 Calculus Appetizer
  259.    wt: 1:   Foreword
  260.    wt: 1:   Postscript B Mathematics Education References
  261.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  262.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  263.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  264.    wt: 1:   Mathematics Education References
  265.    wt: 1:   Mathematics Education References
  266.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
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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