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 Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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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11 matches:

  1.    wt: 6:   Volume 1A Pattern Based Reason/
  2.    wt: 2:   Volume 1A Regles et modeles/
  3.    wt: 2:   Volume 1 Elements of Reason/
  4.    wt: 1:   10 Examples of Algebraic Reasoning/
  5.    wt: 1:   8 Unifying Theme For Algebra/
  6.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  7.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  8.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  9.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  10.    wt: 1:   Volume 2 Three Skills For Algebra/
  11.    wt: 1:   Volume 1B Mathematics Curriculum Notes/

Web Page Search

64 matches:

  1.    wt: 2:   Different Kinds of Reasoning in maths
  2.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  3.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  4.    wt: 1:   Skills Chapter 4 Logic
  5.    wt: 1:   7 logic review and decimals an odd combination
  6.    wt: 1:   Math Ed if it must be short make it lean effective
  7.    wt: 1:   teacher certification
  8.    wt: 1:   five decades make a difference
  9.    wt: 1:   three difficulties
  10.    wt: 1:   mathematics curriculum shifts
  11.    wt: 1:   geometric implications for algebra
  12.    wt: 1:   teaching tutoring algebraic reason
  13.    wt: 1:   Lessening Algebra Difficulties
  14.    wt: 1:   three kinds of reason in mathematics
  15.    wt: 1:   4 quadratics difference of two squares
  16.    wt: 1:   2 Square Root Simplification a prequel
  17.    wt: 1:   24 tangent Angle Difference Formula
  18.    wt: 1:   13 Naming Identifying Formulas with Words
  19.    wt: 1:   11 Volume of Sphere
  20.    wt: 1:   10 Volume of Pyramid
  21.    wt: 1:   9 Volume of Cone
  22.    wt: 1:   5 Box Volume Formula Example
  23.    wt: 1:   6 Simplification of Fractions with Units
  24.    wt: 1:   11 Simplification an Algebraic View
  25.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  26.    wt: 1:   17 Identify and Count Factors using Primes
  27.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  28.    wt: 1:   Example 2 volume of a cone
  29.    wt: 1:   Example 1 volume of a pyramid
  30.    wt: 1:   Volume of Solid by Cross Sections Lesson
  31.    wt: 1:   A Related Material in Volume 3
  32.    wt: 1:   A Related lessons in Volume 3
  33.    wt: 1:   8 Differentiation of polynomials
  34.    wt: 1:   7 Animated Differentiation Examples
  35.    wt: 1:   2 Algebraic codification
  36.    wt: 1:   G.3 Constant Difference Theorem Proof
  37.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  38.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  39.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  40.    wt: 1:   Chapter 31 Direct and Indirect Reason
  41.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  42.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  43.    wt: 1:   Chapter 4 Longer Chains of Reason
  44.    wt: 1:   Chapter 3 Chains of Reason
  45.    wt: 1:   Chapter 3 Algebra Difficulties
  46.    wt: 1:   Postscript C Consistency as a Tool for Reason
  47.    wt: 1:   Postscript B More on Story Telling and Reason
  48.    wt: 1:   Chapter 24 Direct and Indirect Reason
  49.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  50.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  51.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  52.    wt: 1:   Chapter 11 Accidental Patterns
  53.    wt: 1:   Chapter 7 Longer Chains of Reason
  54.    wt: 1:   Chapter 6 Chains of Reason
  55.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  56.    wt: 1:   I. Logic and language skills
  57.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  58.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  59.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  60.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  61.    wt: 1:   Helping the Blind in Logic and Mathematics
  62.    wt: 1:   More Algebra and Slope based Calculus Preview
  63.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  64.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

234 matches:

  1.    wt: 7:   Postscript C Consistency as a Tool for Reason
  2.    wt: 7:   Postscript B More on Story Telling and Reason
  3.    wt: 7:   Chapter 24 Direct and Indirect Reason
  4.    wt: 7:   Chapter 22 Contrapositive and Vacuously True Implications
  5.    wt: 7:   Chapter 16 Origins and Limitations of Rules and Patterns
  6.    wt: 7:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  7.    wt: 7:   Chapter 11 Accidental Patterns
  8.    wt: 7:   Chapter 7 Longer Chains of Reason
  9.    wt: 7:   Chapter 6 Chains of Reason
  10.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  11.    wt: 6:   Postscript A Story Telling
  12.    wt: 6:   Chapter 23 Truth Tables
  13.    wt: 6:   Chapter 21 Occurrence Tables
  14.    wt: 6:   Chapter 20 Shorthand Symbols as Pronouns
  15.    wt: 6:   Chapter 19 What is in chapters 20 to 24
  16.    wt: 6:   Chapter 18 Sense and Knowledge
  17.    wt: 6:   Chapter 17 Objective Ways Trial and Error Discovery
  18.    wt: 6:   Chapter 15 Objective Processes
  19.    wt: 6:   Chapter 14 Deductive and Empirical Views of Mathematics
  20.    wt: 6:   Chapter 12 Islands and Divisions of Knowledge
  21.    wt: 6:   Chapter 10 Responsibility
  22.    wt: 6:   Chapter 9 What is in Chapters 10 to 18
  23.    wt: 6:   Chapter 8 Change of Language
  24.    wt: 6:   Chapter 5 Deception
  25.    wt: 6:   Chapter 4 Implication Rules Forwards and Backwards
  26.    wt: 6:   Chapter 3 What is in chapters 4 to 8
  27.    wt: 6:   Chapter 2 Skill Development
  28.    wt: 6:   Chapter 1 Introduction
  29.    wt: 6:   Three Remarks
  30.    wt: 6:   Foreword
  31.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  32.    wt: 2:   Different Kinds of Reasoning in maths
  33.    wt: 2:   chapitre 12 00 les iles et division
  34.    wt: 2:   chapitre 07 01 principle D induction mathematique
  35.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  36.    wt: 2:   chapitre 06 00 Chaines de la raison
  37.    wt: 2:   chapitre 05 00 Deception
  38.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  39.    wt: 2:   chapitre 04 09 Regles accidentelles
  40.    wt: 2:   chapitre 04 08 Limitations et benefices
  41.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  42.    wt: 2:   chapitre 04 06 engagements
  43.    wt: 2:   chapitre 04 05 Implication versus suggestion
  44.    wt: 2:   chapitre 04 04 Parlons de la logique
  45.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  46.    wt: 2:   chapitre 04 02 Deuxieme enigme
  47.    wt: 2:   chapitre 04 01 Premiere enigme
  48.    wt: 2:   chapitre 04 00 Les regles d implication
  49.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  50.    wt: 2:   chapitre 02 00 La Communication des idees
  51.    wt: 2:   chapitre 01 00 Introduction
  52.    wt: 2:   Example 2 volume of a cone
  53.    wt: 2:   Example 1 volume of a pyramid
  54.    wt: 2:   Volume of Solid by Cross Sections Lesson
  55.    wt: 2:   Area Between Curves Lesson Take 2
  56.    wt: 2:   A Related Material in Volume 3
  57.    wt: 2:   G.3 Constant Difference Theorem Proof
  58.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  59.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  60.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  61.    wt: 2:   Chapter 31 Direct and Indirect Reason
  62.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  63.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  64.    wt: 2:   Chapter 4 Longer Chains of Reason
  65.    wt: 2:   Chapter 3 Chains of Reason
  66.    wt: 2:   Chapter 3 Algebra Difficulties
  67.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  68.    wt: 1:   Skills Chapter 4 Logic
  69.    wt: 1:   7 logic review and decimals an odd combination
  70.    wt: 1:   Math Ed if it must be short make it lean effective
  71.    wt: 1:   teacher certification
  72.    wt: 1:   five decades make a difference
  73.    wt: 1:   three difficulties
  74.    wt: 1:   mathematics curriculum shifts
  75.    wt: 1:   geometric implications for algebra
  76.    wt: 1:   teaching tutoring algebraic reason
  77.    wt: 1:   Lessening Algebra Difficulties
  78.    wt: 1:   three kinds of reason in mathematics
  79.    wt: 1:   4 quadratics difference of two squares
  80.    wt: 1:   2 Square Root Simplification a prequel
  81.    wt: 1:   24 tangent Angle Difference Formula
  82.    wt: 1:   5 Areas of Rectangles Revisited
  83.    wt: 1:   4 Fraction Operations Axiomatic Development
  84.    wt: 1:   3 Inequalities Algebraically
  85.    wt: 1:   2 Fraction Operations Physical Development
  86.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  87.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  88.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  89.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  90.    wt: 1:   6 Compound Interest Forward and Backwards
  91.    wt: 1:   5 Triangle Area Formula Backwards
  92.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  93.    wt: 1:   3 Linear Equation Literal Solution More
  94.    wt: 1:   2 Linear Equation Literal Solution
  95.    wt: 1:   1 Changing Calculations
  96.    wt: 1:   6 Equations and Systems Equivalent or Implied
  97.    wt: 1:   5 Equality in Algebra
  98.    wt: 1:   4 Subtraction and Division Axioms
  99.    wt: 1:   3 Product Axioms Two Forms
  100.    wt: 1:   2 Addition and Multiplication Axioms
  101.    wt: 1:   1 Equivalent Computation Rules
  102.    wt: 1:   13 Naming Identifying Formulas with Words
  103.    wt: 1:   11 Volume of Sphere
  104.    wt: 1:   10 Volume of Pyramid
  105.    wt: 1:   9 Volume of Cone
  106.    wt: 1:   5 Box Volume Formula Example
  107.    wt: 1:   6 Simplification of Fractions with Units
  108.    wt: 1:   11 Simplification an Algebraic View
  109.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  110.    wt: 1:   17 Identify and Count Factors using Primes
  111.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  112.    wt: 1:   Example 1. Area Between x and x squared
  113.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  114.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  115.    wt: 1:   Example 4 with x function of y
  116.    wt: 1:   Example 3
  117.    wt: 1:   Example 2
  118.    wt: 1:   Example 1
  119.    wt: 1:   Area Between Curves Lesson Take 1
  120.    wt: 1:   Summary
  121.    wt: 1:   A Related lessons in Volume 3
  122.    wt: 1:   8 Differentiation of polynomials
  123.    wt: 1:   7 Animated Differentiation Examples
  124.    wt: 1:   2 Algebraic codification
  125.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  126.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  127.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  128.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  129.    wt: 1:   G.5 Motions With Bounded Velocities
  130.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  131.    wt: 1:   F.5b Extreme Value Theorem
  132.    wt: 1:   F.5a Equicontinuity Theorems
  133.    wt: 1:   F.4 Finite Covering Theorem
  134.    wt: 1:   F.3 Intermediate Value Theorem
  135.    wt: 1:   F.2 Closed Range Theorem
  136.    wt: 1:   F.1 What Functions are Continuous
  137.    wt: 1:   E2 Algebraic Properties of Limits
  138.    wt: 1:   E1 Error Control Inequalities
  139.    wt: 1:   D2 Limits of Monotone Sequences
  140.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  141.    wt: 1:   C Triangle Inequalities
  142.    wt: 1:   B3 Bolzano Weierstrass Theorem
  143.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  144.    wt: 1:   PostScript For and Against Decimal Perspectives
  145.    wt: 1:   A1. Introduction
  146.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  147.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  148.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  149.    wt: 1:   Chapter 23 Links To Trigonometry
  150.    wt: 1:   Chapter 22 Complex Numbers
  151.    wt: 1:   Chapter 21 Arrow Addition
  152.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  153.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  154.    wt: 1:   Chapter 18. Slopes Areas Integration
  155.    wt: 1:   Chapter 17. Area Approximation
  156.    wt: 1:   Chapter 16. Velocity Approximation
  157.    wt: 1:   Chapter 15. Slope Approximation
  158.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  159.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  160.    wt: 1:   Chapter 13. Acceleration
  161.    wt: 1:   Chapter 12. Units and Slopes
  162.    wt: 1:   Chapter 11. Graphing Slope versus Position
  163.    wt: 1:   Chapter 10 Slopes and Units
  164.    wt: 1:   Chapter 9 About First Courses in Calculus
  165.    wt: 1:   Chapter 8. Slope Interpretation
  166.    wt: 1:   Chapter 7 Slopes and Velocity
  167.    wt: 1:   Chapter 5. Slope Sign Tests
  168.    wt: 1:   Chapter 4. More Slope Sign Analysis
  169.    wt: 1:   Chapter 3. Slope Sign Analysis
  170.    wt: 1:   Chapter 2. Slopes and Ski Trails
  171.    wt: 1:   Chapter 1.Introduction
  172.    wt: 1:   Fall 1983 Calculus Appetizer
  173.    wt: 1:   Foreword
  174.    wt: 1:   Postscript More on Better Performance
  175.    wt: 1:   Postscript For Better Performance
  176.    wt: 1:   Appendix E. How To Study Mathematics and Why
  177.    wt: 1:   Appendix D. What to do in School and Why
  178.    wt: 1:   Appendix C. How to Read
  179.    wt: 1:   Appendix B. How To Learn
  180.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  181.    wt: 1:   Chapter 30 Truth Tables
  182.    wt: 1:   Chapter 28 Occurrence Tables
  183.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  184.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  185.    wt: 1:   Chapter 25. Mathematical Induction Examples
  186.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  187.    wt: 1:   Chapter 23. Notation For Sums
  188.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  189.    wt: 1:   Chapter 21. Third Reading Guide
  190.    wt: 1:   Chapter 20. Degrees and Radians
  191.    wt: 1:   Chapter 19. Functions and Sets
  192.    wt: 1:   Chapter 18. Rules for Algebra
  193.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  194.    wt: 1:   Chapter 16. Painless Theorem Proving
  195.    wt: 1:   Chapter 15. Solving Linear Equations
  196.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  197.    wt: 1:   Chapter 13. Second Reading Guide
  198.    wt: 1:   Chapter 12. Shorthand Usage Guide
  199.    wt: 1:   Chapter 11. Why Shorthand
  200.    wt: 1:   Chapter 10 Describing and Changing Calculations
  201.    wt: 1:   Postscript What is a Variable
  202.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  203.    wt: 1:   Chapter 8 Three Skills For Algebra
  204.    wt: 1:   Solutions For Arithmetic Exercises
  205.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  206.    wt: 1:   Chapter 6 Change of Language
  207.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  208.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  209.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  210.    wt: 1:   Foreword
  211.    wt: 1:   Annotated Links to Material Elsehwere
  212.    wt: 1:   Postscript B Mathematics Education References
  213.    wt: 1:   Postscript A Three Remarks
  214.    wt: 1:   Chapter 12 Four Phases
  215.    wt: 1:   Chapter 11 Elementary Instruction
  216.    wt: 1:   Chapter 10 Transition
  217.    wt: 1:   Chapter 9 The Two Ends
  218.    wt: 1:   Chapter 8 Modern Instruction
  219.    wt: 1:   Chapter 7 Two Treatments of Geometry
  220.    wt: 1:   Chapter 5 Four References
  221.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  222.    wt: 1:   Chapter 2 For and Against Mathematics
  223.    wt: 1:   Chapter 1 Introduction
  224.    wt: 1:   Foreword
  225.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  226.    wt: 1:   I. Logic and language skills
  227.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  228.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  229.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  230.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  231.    wt: 1:   Helping the Blind in Logic and Mathematics
  232.    wt: 1:   More Algebra and Slope based Calculus Preview
  233.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  234.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
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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