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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  1.    wt: 6:   LAMP Lean Applied Mathematics Program/
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  3.    wt: 2:   Mathematics Education Essays/
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  5.    wt: 1:   Mathematics Skills Year by Year/
  6.    wt: 1:   B Real Numbers Extrinsic Development/
  7.    wt: 1:   A Origins of Counting and Figuring Methods/
  8.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  9.    wt: 1:   Mathematics 506 Lessons/
  10.    wt: 1:   Secondary Mathematics A Practical Approach/
  11.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  12.    wt: 1:   Mathematics Skill Development Framework/

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77 matches:

  1.    wt: 4:   J LAMP Introduction Extrinsic Origins
  2.    wt: 3:   E LAMP Introduction Modern Mathematics
  3.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  4.    wt: 2:   I LAMP Introduction Study Habits
  5.    wt: 2:   H LAMP Introduction Instructional Concepts
  6.    wt: 2:   G LAMP Introduction Problem Solving Skills
  7.    wt: 2:   F LAMP Introduction Prerequisites
  8.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  9.    wt: 2:   Applied Maths Program14092009 POMME variant
  10.    wt: 2:   Leaner mathematics curriculum
  11.    wt: 2:   12 From Applied To Pure Mathematics
  12.    wt: 1:   K LAMP Musings Science Education
  13.    wt: 1:   A Introduction Objectives
  14.    wt: 1:   Ramblings Extrinsic numbers theory
  15.    wt: 1:   Ramblings Introduction Algebra Essay
  16.    wt: 1:   Skills Chapter 0 Introduction
  17.    wt: 1:   11 pure mathematics
  18.    wt: 1:   3 Euclidean Geometry Leanly
  19.    wt: 1:   Math Ed if it must be short make it lean effective
  20.    wt: 1:   site origins
  21.    wt: 1:   Mathematics Education Professors
  22.    wt: 1:   mathematics in context
  23.    wt: 1:   Secondary Three Mathematics
  24.    wt: 1:   Secondary Two Mathematics
  25.    wt: 1:   Secondary One Mathematics
  26.    wt: 1:   mathematics curriculum shifts
  27.    wt: 1:   three goals for Mathematics Education
  28.    wt: 1:   04 29 New Mathematics Curriculum
  29.    wt: 1:   02 20 mathematics education references
  30.    wt: 1:   three aims for mathematics students
  31.    wt: 1:   mathematics instruction in general
  32.    wt: 1:   Education in mathematics science and technology
  33.    wt: 1:   three kinds of reason in mathematics
  34.    wt: 1:   need for a mixed mathematics curriculum
  35.    wt: 1:   words for mathematics instructor
  36.    wt: 1:   chapitre 01 00 Introduction
  37.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  38.    wt: 1:   22 Student Centered Highschool Mathematics
  39.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  40.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  41.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  42.    wt: 1:   18 Primary School Mathematics
  43.    wt: 1:   16 Secondary Mathematics Tips
  44.    wt: 1:   12 Goals and Objectives For Mathematics
  45.    wt: 1:   9 Set theory term relation possible origins
  46.    wt: 1:   4 Function notation in and beyond mathematics
  47.    wt: 1:   1 Geometric Introduction of Function Notation
  48.    wt: 1:   Introduction Reading Guide
  49.    wt: 1:   1 Degrees and Radians Introduction
  50.    wt: 1:   1 The Counting Origins of Numbers
  51.    wt: 1:   5 Algebraic Solutions Introduction
  52.    wt: 1:   7 Compound Interest Formula Introduction
  53.    wt: 1:   1 Squares and Square Roots Introduction
  54.    wt: 1:   1 Least Common Multiples LCM Introduction
  55.    wt: 1:   4 video Prime Factorization Introduction
  56.    wt: 1:   18 Chain Rule Introduction
  57.    wt: 1:   1 Numerical introduction
  58.    wt: 1:   A1. Introduction
  59.    wt: 1:   Chapter 1.Introduction
  60.    wt: 1:   Appendix E. How To Study Mathematics and Why
  61.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  62.    wt: 1:   Postscript B Mathematics Education References
  63.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  64.    wt: 1:   Chapter 2 For and Against Mathematics
  65.    wt: 1:   Chapter 1 Introduction
  66.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  67.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  68.    wt: 1:   Chapter 1 Introduction
  69.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  70.    wt: 1:   R Why Learn Mathematics Skills
  71.    wt: 1:   O On Learning Mathematics and Science
  72.    wt: 1:   N Mathematics Prepare for College Studies
  73.    wt: 1:   Helping the Blind in Logic and Mathematics
  74.    wt: 1:   Mathematics Education References
  75.    wt: 1:   Mathematics Education References
  76.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  77.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

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233 matches:

  1.    wt: 9:   E LAMP Introduction Modern Mathematics
  2.    wt: 9:   C LAMP Introduction Culture in Mathematics Education
  3.    wt: 8:   I LAMP Introduction Study Habits
  4.    wt: 8:   H LAMP Introduction Instructional Concepts
  5.    wt: 8:   G LAMP Introduction Problem Solving Skills
  6.    wt: 8:   F LAMP Introduction Prerequisites
  7.    wt: 8:   B LAMP Introduction Curriculum Development Standards
  8.    wt: 7:   K LAMP Musings Science Education
  9.    wt: 7:   A Introduction Objectives
  10.    wt: 7:   Ramblings Extrinsic numbers theory
  11.    wt: 7:   Ramblings Introduction Algebra Essay
  12.    wt: 7:   Skills Chapter 0 Introduction
  13.    wt: 6:   Appendix 2 primary school Arithmetic 01
  14.    wt: 6:   Appendix 1 primary and preschool mathematic
  15.    wt: 6:   Skills Chapter 5 Calculus
  16.    wt: 6:   Skills Chapter 4 Logic
  17.    wt: 6:   Skills Chapter 3 Algebra
  18.    wt: 6:   Skills Chapter 2 Geometry
  19.    wt: 6:   Skills Chapter 1 Arithmetic
  20.    wt: 4:   Applied Maths Program14092009 POMME variant
  21.    wt: 4:   Leaner mathematics curriculum
  22.    wt: 3:   11 pure mathematics
  23.    wt: 3:   3 Euclidean Geometry Leanly
  24.    wt: 3:   Math Ed if it must be short make it lean effective
  25.    wt: 3:   site origins
  26.    wt: 3:   Mathematics Education Professors
  27.    wt: 3:   mathematics in context
  28.    wt: 3:   Secondary Three Mathematics
  29.    wt: 3:   Secondary Two Mathematics
  30.    wt: 3:   Secondary One Mathematics
  31.    wt: 3:   mathematics curriculum shifts
  32.    wt: 3:   three goals for Mathematics Education
  33.    wt: 3:   04 29 New Mathematics Curriculum
  34.    wt: 3:   02 20 mathematics education references
  35.    wt: 3:   three aims for mathematics students
  36.    wt: 3:   mathematics instruction in general
  37.    wt: 3:   Education in mathematics science and technology
  38.    wt: 3:   three kinds of reason in mathematics
  39.    wt: 3:   need for a mixed mathematics curriculum
  40.    wt: 3:   words for mathematics instructor
  41.    wt: 2:   10 statistics
  42.    wt: 2:   9 combinatorics probability sets
  43.    wt: 2:   8 analytic geometry etc
  44.    wt: 2:   7 logic review and decimals an odd combination
  45.    wt: 2:   6 polynomials etc
  46.    wt: 2:   5 logarithms and exponentials etc
  47.    wt: 2:   4 algebra
  48.    wt: 2:   2 arithmetic with signed numbers
  49.    wt: 2:   1 arithmetic with unsigned numbers
  50.    wt: 2:   What is POMME
  51.    wt: 2:   why bother
  52.    wt: 2:   which way to go
  53.    wt: 2:   website reviews
  54.    wt: 2:   three goals to set for students
  55.    wt: 2:   Teach the teachers plus goals
  56.    wt: 2:   permissions for teachers
  57.    wt: 2:   activities for students
  58.    wt: 2:   links Education Resources online
  59.    wt: 2:   site eurekas
  60.    wt: 2:   About site lesson plans
  61.    wt: 2:   key notes and themes
  62.    wt: 2:   teacher certification
  63.    wt: 2:   modern education
  64.    wt: 2:   learning takes time
  65.    wt: 2:   grouping students according to ability
  66.    wt: 2:   what should be learnt and When
  67.    wt: 2:   Postscript 2007 01 10
  68.    wt: 2:   Education Reform Inconsistencies
  69.    wt: 2:   five decades make a difference
  70.    wt: 2:   Maps Plans Drawings
  71.    wt: 2:   how letters appear
  72.    wt: 2:   talk the algebra talk
  73.    wt: 2:   three difficulties
  74.    wt: 2:   teaching tips
  75.    wt: 2:   What to Tell Students
  76.    wt: 2:   geometric implications for algebra
  77.    wt: 2:   teaching tutoring algebraic reason
  78.    wt: 2:   Lessening Algebra Difficulties
  79.    wt: 2:   the trouble with algebra
  80.    wt: 2:   05 13 OldSiteEntrancePage
  81.    wt: 2:   04 25 when to stop or suspend mathemat
  82.    wt: 2:   02 21 words for teachers
  83.    wt: 2:   standards for course material
  84.    wt: 2:   Operational Viewpoint to Value
  85.    wt: 2:   formal or informal peer review
  86.    wt: 2:   Theory of Knowledge
  87.    wt: 2:   Different Kinds of Reasoning in maths
  88.    wt: 2:   cultivating intelligence
  89.    wt: 2:   Four ways to improve education reform
  90.    wt: 2:   How to be a better instructor
  91.    wt: 2:   Motivation and Context Problem
  92.    wt: 2:   Prequel In For A Penny In For A Pound
  93.    wt: 2:   education an empirical art
  94.    wt: 2:   fairness and inductive principles for instruction
  95.    wt: 2:   12 From Applied To Pure Mathematics
  96.    wt: 2:   1 The Counting Origins of Numbers
  97.    wt: 2:   Postscript B Mathematics Education References
  98.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  99.    wt: 2:   Chapter 2 For and Against Mathematics
  100.    wt: 2:   Chapter 1 Introduction
  101.    wt: 2:   Helping the Blind in Logic and Mathematics
  102.    wt: 2:   Mathematics Education References
  103.    wt: 2:   Mathematics Education References
  104.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  105.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  106.    wt: 1:   chapitre 01 00 Introduction
  107.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  108.    wt: 1:   22 Student Centered Highschool Mathematics
  109.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  110.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  111.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  112.    wt: 1:   18 Primary School Mathematics
  113.    wt: 1:   16 Secondary Mathematics Tips
  114.    wt: 1:   12 Goals and Objectives For Mathematics
  115.    wt: 1:   Ages 12 to 14 Skills with take home value
  116.    wt: 1:   Ages 12 to 14 Geometry
  117.    wt: 1:   Ages 12 to 14 Arithmetic
  118.    wt: 1:   Ages 10 to 12 Geometry
  119.    wt: 1:   Ages 10 to 12 Arithmetic
  120.    wt: 1:   Ages 9 to 10
  121.    wt: 1:   Ages 8 to 9
  122.    wt: 1:   Ages 7 to 8
  123.    wt: 1:   Ages 6 to 7
  124.    wt: 1:   Ages 4 plus to 5 plus
  125.    wt: 1:   Ages 3 plus to 4 plus
  126.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  127.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  128.    wt: 1:   9 Set theory term relation possible origins
  129.    wt: 1:   4 Function notation in and beyond mathematics
  130.    wt: 1:   1 Geometric Introduction of Function Notation
  131.    wt: 1:   Introduction Reading Guide
  132.    wt: 1:   1 Degrees and Radians Introduction
  133.    wt: 1:   musings do not puiblish real numbers
  134.    wt: 1:   A Modular and Remainder Arithmetic
  135.    wt: 1:   A Signed Number Arithmetic Review
  136.    wt: 1:   26 More Less Greater Than Comparison
  137.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  138.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  139.    wt: 1:   23 Distributive Law Two Derivations
  140.    wt: 1:   22 Multiplication of Signed Numbers
  141.    wt: 1:   21 Addition of Multiples of a Single Vector
  142.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  143.    wt: 1:   19 Signed Multiples of Vectors
  144.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  145.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  146.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  147.    wt: 1:   15 Head to Tails in place Addition Associative
  148.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  149.    wt: 1:   13 Arrows and Vectors in a Plane
  150.    wt: 1:   12 Real Numbers Line Signed Coordinates
  151.    wt: 1:   11 Signed Number Addition and Addition Properties
  152.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  153.    wt: 1:   9 Division with Digits after Decimal Point
  154.    wt: 1:   8 Division and Mulplication of Compound Fractions
  155.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  156.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  157.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  158.    wt: 1:   4 Location of Point in Decimal Addition
  159.    wt: 1:   3 Location of Point in Decimal Multiplication
  160.    wt: 1:   2 Counting Digits in Decimal Multiplication
  161.    wt: 1:   1 Fractions with Finite Decimal Expansions
  162.    wt: 1:   E Long Division Methods more
  163.    wt: 1:   D Long Division Methods
  164.    wt: 1:   C Three Decimal Subtraction Methods
  165.    wt: 1:   B Decimal Comparison and Subtraction
  166.    wt: 1:   A Decimal Addition Columm Methods
  167.    wt: 1:   8 Column Multiplication Methods in General
  168.    wt: 1:   7 Decimals Multiplication Methods Examples
  169.    wt: 1:   6 Column Methods for Decimal Multiplication
  170.    wt: 1:   5 Distributive Law for Whole Numbers
  171.    wt: 1:   4 Commutative Law Groups Counting Form
  172.    wt: 1:   3 Multiplicative Counting Skills Principles
  173.    wt: 1:   2 Combing Counts Addition Skills and Principles
  174.    wt: 1:   5 Algebraic Solutions Introduction
  175.    wt: 1:   7 Compound Interest Formula Introduction
  176.    wt: 1:   1 Squares and Square Roots Introduction
  177.    wt: 1:   1 Least Common Multiples LCM Introduction
  178.    wt: 1:   4 video Prime Factorization Introduction
  179.    wt: 1:   18 Chain Rule Introduction
  180.    wt: 1:   1 Numerical introduction
  181.    wt: 1:   A1. Introduction
  182.    wt: 1:   Chapter 1.Introduction
  183.    wt: 1:   Appendix E. How To Study Mathematics and Why
  184.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  185.    wt: 1:   Annotated Links to Material Elsehwere
  186.    wt: 1:   Postscript A Three Remarks
  187.    wt: 1:   Chapter 12 Four Phases
  188.    wt: 1:   Chapter 11 Elementary Instruction
  189.    wt: 1:   Chapter 10 Transition
  190.    wt: 1:   Chapter 9 The Two Ends
  191.    wt: 1:   Chapter 8 Modern Instruction
  192.    wt: 1:   Chapter 7 Two Treatments of Geometry
  193.    wt: 1:   Chapter 5 Four References
  194.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  195.    wt: 1:   Chapter 3 Algebra Difficulties
  196.    wt: 1:   Foreword
  197.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  198.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  199.    wt: 1:   Chapter 1 Introduction
  200.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  201.    wt: 1:   R Why Learn Mathematics Skills
  202.    wt: 1:   O On Learning Mathematics and Science
  203.    wt: 1:   N Mathematics Prepare for College Studies
  204.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  205.    wt: 1:   Chapter 8 Skipped Topics and Why
  206.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  207.    wt: 1:   Chapter 6 More Algebra and Geometry
  208.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  209.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  210.    wt: 1:   Chapter 3 Algebra Starter Lessons
  211.    wt: 1:   Chapter 2 Why Sets
  212.    wt: 1:   Chapter 1 Arithmetic
  213.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  214.    wt: 1:   7 Games and Activities for Instruction
  215.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  216.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  217.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  218.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  219.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  220.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  221.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  222.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  223.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  224.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  225.    wt: 1:   Implementation Notes
  226.    wt: 1:   More Algebra and Slope based Calculus Preview
  227.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  228.    wt: 1:   Systematic Algebra Skill Development Missing Links
  229.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  230.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  231.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  232.    wt: 1:   Which Way To Go
  233.    wt: 10:   J LAMP Introduction Extrinsic Origins
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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