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: 3:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 2:   LAMP Lean Applied Mathematics Program/
  4.    wt: 2:   Secondary Mathematics A Practical Approach/
  5.    wt: 1:   Archives/
  6.    wt: 1:   Mathematics Skills Year by Year/
  7.    wt: 1:   Volume 2 Three Skills For Algebra/
  8.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  9.    wt: 1:   Mathematics 506 Lessons/
  10.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  11.    wt: 1:   Mathematics Skill Development Framework/

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73 matches:

  1.    wt: 3:   Secondary Three Mathematics
  2.    wt: 3:   three goals for Mathematics Education
  3.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  4.    wt: 2:   Mathematics Education Professors
  5.    wt: 2:   Secondary Two Mathematics
  6.    wt: 2:   Secondary One Mathematics
  7.    wt: 2:   02 20 mathematics education references
  8.    wt: 2:   three aims for mathematics students
  9.    wt: 2:   Education in mathematics science and technology
  10.    wt: 2:   three kinds of reason in mathematics
  11.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  12.    wt: 2:   16 Secondary Mathematics Tips
  13.    wt: 2:   Postscript B Mathematics Education References
  14.    wt: 2:   Mathematics Education References
  15.    wt: 2:   Mathematics Education References
  16.    wt: 1:   K LAMP Musings Science Education
  17.    wt: 1:   E LAMP Introduction Modern Mathematics
  18.    wt: 1:   11 pure mathematics
  19.    wt: 1:   three goals to set for students
  20.    wt: 1:   links Education Resources online
  21.    wt: 1:   modern education
  22.    wt: 1:   mathematics in context
  23.    wt: 1:   Education Reform Inconsistencies
  24.    wt: 1:   three difficulties
  25.    wt: 1:   mathematics curriculum shifts
  26.    wt: 1:   04 29 New Mathematics Curriculum
  27.    wt: 1:   mathematics instruction in general
  28.    wt: 1:   Four ways to improve education reform
  29.    wt: 1:   need for a mixed mathematics curriculum
  30.    wt: 1:   Leaner mathematics curriculum
  31.    wt: 1:   education an empirical art
  32.    wt: 1:   words for mathematics instructor
  33.    wt: 1:   22 Student Centered Highschool Mathematics
  34.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  35.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  36.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  37.    wt: 1:   18 Primary School Mathematics
  38.    wt: 1:   12 Goals and Objectives For Mathematics
  39.    wt: 1:   11 Help and Defend Your Child or Teens Education
  40.    wt: 1:   4 Function notation in and beyond mathematics
  41.    wt: 1:   12 From Applied To Pure Mathematics
  42.    wt: 1:   4 Equations for lines three forms
  43.    wt: 1:   C Three Decimal Subtraction Methods
  44.    wt: 1:   2 Essentially one exercises three with solution
  45.    wt: 1:   2 Three Examples
  46.    wt: 1:   9 Three Examples
  47.    wt: 1:   6 Three Examples
  48.    wt: 1:   5 Three Examples
  49.    wt: 1:   2 Three Examples
  50.    wt: 1:   6 Three Notions of What is a Variable
  51.    wt: 1:   1 Three Skills For Algebra
  52.    wt: 1:   D Three Term Ratios
  53.    wt: 1:   4 Two and Three Digit Multipliers
  54.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  55.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  56.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  57.    wt: 1:   11 Limits at infinity Three Examples
  58.    wt: 1:   10 Three one sided limits with infinite values
  59.    wt: 1:   Appendix E. How To Study Mathematics and Why
  60.    wt: 1:   Chapter 8 Three Skills For Algebra
  61.    wt: 1:   Postscript A Three Remarks
  62.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  63.    wt: 1:   Chapter 2 For and Against Mathematics
  64.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  65.    wt: 1:   Three Remarks
  66.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  67.    wt: 1:   R Why Learn Mathematics Skills
  68.    wt: 1:   O On Learning Mathematics and Science
  69.    wt: 1:   N Mathematics Prepare for College Studies
  70.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  71.    wt: 1:   Helping the Blind in Logic and Mathematics
  72.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  73.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

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234 matches:

  1.    wt: 7:   Secondary Three Mathematics
  2.    wt: 7:   three goals for Mathematics Education
  3.    wt: 6:   Mathematics Education Professors
  4.    wt: 6:   Secondary Two Mathematics
  5.    wt: 6:   Secondary One Mathematics
  6.    wt: 6:   02 20 mathematics education references
  7.    wt: 6:   three aims for mathematics students
  8.    wt: 6:   Education in mathematics science and technology
  9.    wt: 6:   three kinds of reason in mathematics
  10.    wt: 5:   three goals to set for students
  11.    wt: 5:   links Education Resources online
  12.    wt: 5:   modern education
  13.    wt: 5:   mathematics in context
  14.    wt: 5:   Education Reform Inconsistencies
  15.    wt: 5:   three difficulties
  16.    wt: 5:   mathematics curriculum shifts
  17.    wt: 5:   04 29 New Mathematics Curriculum
  18.    wt: 5:   mathematics instruction in general
  19.    wt: 5:   Four ways to improve education reform
  20.    wt: 5:   need for a mixed mathematics curriculum
  21.    wt: 5:   Leaner mathematics curriculum
  22.    wt: 5:   education an empirical art
  23.    wt: 5:   words for mathematics instructor
  24.    wt: 4:   C LAMP Introduction Culture in Mathematics Education
  25.    wt: 4:   11 pure mathematics
  26.    wt: 4:   why bother
  27.    wt: 4:   which way to go
  28.    wt: 4:   website reviews
  29.    wt: 4:   Teach the teachers plus goals
  30.    wt: 4:   permissions for teachers
  31.    wt: 4:   Math Ed if it must be short make it lean effective
  32.    wt: 4:   Applied Maths Program14092009 POMME variant
  33.    wt: 4:   activities for students
  34.    wt: 4:   site origins
  35.    wt: 4:   site eurekas
  36.    wt: 4:   About site lesson plans
  37.    wt: 4:   key notes and themes
  38.    wt: 4:   teacher certification
  39.    wt: 4:   learning takes time
  40.    wt: 4:   grouping students according to ability
  41.    wt: 4:   what should be learnt and When
  42.    wt: 4:   Postscript 2007 01 10
  43.    wt: 4:   five decades make a difference
  44.    wt: 4:   Maps Plans Drawings
  45.    wt: 4:   how letters appear
  46.    wt: 4:   talk the algebra talk
  47.    wt: 4:   teaching tips
  48.    wt: 4:   What to Tell Students
  49.    wt: 4:   geometric implications for algebra
  50.    wt: 4:   teaching tutoring algebraic reason
  51.    wt: 4:   Lessening Algebra Difficulties
  52.    wt: 4:   the trouble with algebra
  53.    wt: 4:   05 13 OldSiteEntrancePage
  54.    wt: 4:   04 25 when to stop or suspend mathemat
  55.    wt: 4:   02 21 words for teachers
  56.    wt: 4:   standards for course material
  57.    wt: 4:   Operational Viewpoint to Value
  58.    wt: 4:   formal or informal peer review
  59.    wt: 4:   Theory of Knowledge
  60.    wt: 4:   Different Kinds of Reasoning in maths
  61.    wt: 4:   cultivating intelligence
  62.    wt: 4:   How to be a better instructor
  63.    wt: 4:   Motivation and Context Problem
  64.    wt: 4:   Prequel In For A Penny In For A Pound
  65.    wt: 4:   fairness and inductive principles for instruction
  66.    wt: 3:   K LAMP Musings Science Education
  67.    wt: 3:   E LAMP Introduction Modern Mathematics
  68.    wt: 3:   10 statistics
  69.    wt: 3:   9 combinatorics probability sets
  70.    wt: 3:   8 analytic geometry etc
  71.    wt: 3:   7 logic review and decimals an odd combination
  72.    wt: 3:   6 polynomials etc
  73.    wt: 3:   5 logarithms and exponentials etc
  74.    wt: 3:   4 algebra
  75.    wt: 3:   3 Euclidean Geometry Leanly
  76.    wt: 3:   2 arithmetic with signed numbers
  77.    wt: 3:   1 arithmetic with unsigned numbers
  78.    wt: 3:   What is POMME
  79.    wt: 3:   Postscript B Mathematics Education References
  80.    wt: 3:   Mathematics Education References
  81.    wt: 3:   Mathematics Education References
  82.    wt: 2:   Appendix 2 primary school Arithmetic 01
  83.    wt: 2:   Appendix 1 primary and preschool mathematic
  84.    wt: 2:   J LAMP Introduction Extrinsic Origins
  85.    wt: 2:   I LAMP Introduction Study Habits
  86.    wt: 2:   H LAMP Introduction Instructional Concepts
  87.    wt: 2:   G LAMP Introduction Problem Solving Skills
  88.    wt: 2:   F LAMP Introduction Prerequisites
  89.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  90.    wt: 2:   A Introduction Objectives
  91.    wt: 2:   Skills Chapter 5 Calculus
  92.    wt: 2:   Skills Chapter 4 Logic
  93.    wt: 2:   Ramblings Extrinsic numbers theory
  94.    wt: 2:   Ramblings Introduction Algebra Essay
  95.    wt: 2:   Skills Chapter 3 Algebra
  96.    wt: 2:   Skills Chapter 2 Geometry
  97.    wt: 2:   Skills Chapter 1 Arithmetic
  98.    wt: 2:   Skills Chapter 0 Introduction
  99.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  100.    wt: 2:   16 Secondary Mathematics Tips
  101.    wt: 2:   Appendix E. How To Study Mathematics and Why
  102.    wt: 2:   Chapter 8 Three Skills For Algebra
  103.    wt: 2:   Postscript A Three Remarks
  104.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  105.    wt: 2:   Chapter 2 For and Against Mathematics
  106.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  107.    wt: 2:   Chapter 8 Skipped Topics and Why
  108.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  109.    wt: 2:   Chapter 6 More Algebra and Geometry
  110.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  111.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  112.    wt: 2:   Chapter 3 Algebra Starter Lessons
  113.    wt: 2:   Chapter 2 Why Sets
  114.    wt: 2:   Chapter 1 Arithmetic
  115.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  116.    wt: 2:   Helping the Blind in Logic and Mathematics
  117.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  118.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  119.    wt: 1:   22 Student Centered Highschool Mathematics
  120.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  121.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  122.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  123.    wt: 1:   18 Primary School Mathematics
  124.    wt: 1:   12 Goals and Objectives For Mathematics
  125.    wt: 1:   11 Help and Defend Your Child or Teens Education
  126.    wt: 1:   Ages 12 to 14 Skills with take home value
  127.    wt: 1:   Ages 12 to 14 Geometry
  128.    wt: 1:   Ages 12 to 14 Arithmetic
  129.    wt: 1:   Ages 10 to 12 Geometry
  130.    wt: 1:   Ages 10 to 12 Arithmetic
  131.    wt: 1:   Ages 9 to 10
  132.    wt: 1:   Ages 8 to 9
  133.    wt: 1:   Ages 7 to 8
  134.    wt: 1:   Ages 6 to 7
  135.    wt: 1:   Ages 4 plus to 5 plus
  136.    wt: 1:   Ages 3 plus to 4 plus
  137.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  138.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  139.    wt: 1:   4 Function notation in and beyond mathematics
  140.    wt: 1:   12 From Applied To Pure Mathematics
  141.    wt: 1:   4 Equations for lines three forms
  142.    wt: 1:   C Three Decimal Subtraction Methods
  143.    wt: 1:   2 Essentially one exercises three with solution
  144.    wt: 1:   2 Three Examples
  145.    wt: 1:   9 Three Examples
  146.    wt: 1:   6 Three Examples
  147.    wt: 1:   5 Three Examples
  148.    wt: 1:   2 Three Examples
  149.    wt: 1:   6 Three Notions of What is a Variable
  150.    wt: 1:   1 Three Skills For Algebra
  151.    wt: 1:   D Three Term Ratios
  152.    wt: 1:   4 Two and Three Digit Multipliers
  153.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  154.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  155.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  156.    wt: 1:   11 Limits at infinity Three Examples
  157.    wt: 1:   10 Three one sided limits with infinite values
  158.    wt: 1:   Postscript More on Better Performance
  159.    wt: 1:   Postscript For Better Performance
  160.    wt: 1:   Appendix D. What to do in School and Why
  161.    wt: 1:   Appendix C. How to Read
  162.    wt: 1:   Appendix B. How To Learn
  163.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  164.    wt: 1:   Chapter 31 Direct and Indirect Reason
  165.    wt: 1:   Chapter 30 Truth Tables
  166.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  167.    wt: 1:   Chapter 28 Occurrence Tables
  168.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  169.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  170.    wt: 1:   Chapter 25. Mathematical Induction Examples
  171.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  172.    wt: 1:   Chapter 23. Notation For Sums
  173.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  174.    wt: 1:   Chapter 21. Third Reading Guide
  175.    wt: 1:   Chapter 20. Degrees and Radians
  176.    wt: 1:   Chapter 19. Functions and Sets
  177.    wt: 1:   Chapter 18. Rules for Algebra
  178.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  179.    wt: 1:   Chapter 16. Painless Theorem Proving
  180.    wt: 1:   Chapter 15. Solving Linear Equations
  181.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  182.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  183.    wt: 1:   Chapter 13. Second Reading Guide
  184.    wt: 1:   Chapter 12. Shorthand Usage Guide
  185.    wt: 1:   Chapter 11. Why Shorthand
  186.    wt: 1:   Chapter 10 Describing and Changing Calculations
  187.    wt: 1:   Postscript What is a Variable
  188.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  189.    wt: 1:   Solutions For Arithmetic Exercises
  190.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  191.    wt: 1:   Chapter 6 Change of Language
  192.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  193.    wt: 1:   Chapter 4 Longer Chains of Reason
  194.    wt: 1:   Chapter 3 Chains of Reason
  195.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  196.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  197.    wt: 1:   Foreword
  198.    wt: 1:   Annotated Links to Material Elsehwere
  199.    wt: 1:   Chapter 12 Four Phases
  200.    wt: 1:   Chapter 11 Elementary Instruction
  201.    wt: 1:   Chapter 10 Transition
  202.    wt: 1:   Chapter 9 The Two Ends
  203.    wt: 1:   Chapter 8 Modern Instruction
  204.    wt: 1:   Chapter 7 Two Treatments of Geometry
  205.    wt: 1:   Chapter 5 Four References
  206.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  207.    wt: 1:   Chapter 3 Algebra Difficulties
  208.    wt: 1:   Chapter 1 Introduction
  209.    wt: 1:   Foreword
  210.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  211.    wt: 1:   Three Remarks
  212.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  213.    wt: 1:   R Why Learn Mathematics Skills
  214.    wt: 1:   O On Learning Mathematics and Science
  215.    wt: 1:   N Mathematics Prepare for College Studies
  216.    wt: 1:   7 Games and Activities for Instruction
  217.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  218.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  219.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  220.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  221.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  222.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  223.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  224.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  225.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  226.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  227.    wt: 1:   Implementation Notes
  228.    wt: 1:   More Algebra and Slope based Calculus Preview
  229.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  230.    wt: 1:   Systematic Algebra Skill Development Missing Links
  231.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  232.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  233.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  234.    wt: 1:   Which Way To Go
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
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