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

Web Page Search

87 matches:

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

Extended Search

230 matches:

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