Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
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 14+: 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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may 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.

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  1.    wt: 4:   Mathematics Education Essays/
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  1.    wt: 2:   Formula Evaluation how to show work
  2.    wt: 2:   Expression Evaluation how to show work
  3.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  4.    wt: 1:   K LAMP Musings Science Education
  5.    wt: 1:   F LAMP Introduction Prerequisites
  6.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  7.    wt: 1:   website reviews
  8.    wt: 1:   links Education Resources online
  9.    wt: 1:   site origins
  10.    wt: 1:   site eurekas
  11.    wt: 1:   About site lesson plans
  12.    wt: 1:   Mathematics Education Professors
  13.    wt: 1:   modern education
  14.    wt: 1:   Education Reform Inconsistencies
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  16.    wt: 1:   three goals for Mathematics Education
  17.    wt: 1:   05 13 OldSiteEntrancePage
  18.    wt: 1:   02 20 mathematics education references
  19.    wt: 1:   Education in mathematics science and technology
  20.    wt: 1:   Four ways to improve education reform
  21.    wt: 1:   How to be a better instructor
  22.    wt: 1:   education an empirical art
  23.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  24.    wt: 1:   11 Help and Defend Your Child or Teens Education
  25.    wt: 1:   7 Tangent Function is odd on this domain
  26.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  27.    wt: 1:   5 Areas of Rectangles Revisited
  28.    wt: 1:   Formula Usage Show Work Format
  29.    wt: 1:   1 Written work formats for developing and showing skill
  30.    wt: 1:   19 Dividing Fractions How TO
  31.    wt: 1:   4 Adding Movements wiht opposite directions
  32.    wt: 1:   3 video Primes and Composites from 9 times table
  33.    wt: 1:   2 Prime and Composites less than 16
  34.    wt: 1:   1 video how Products are bigger than factor
  35.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  36.    wt: 1:   5. How to add decimals C. Examples
  37.    wt: 1:   4. How to add with decimals B with conversions
  38.    wt: 1:   3. How to add with decimals A sans conversions
  39.    wt: 1:   6 How long is a million seconds
  40.    wt: 1:   Appendix E. How To Study Mathematics and Why
  41.    wt: 1:   Appendix C. How to Read
  42.    wt: 1:   Appendix B. How To Learn
  43.    wt: 1:   Postscript B Mathematics Education References
  44.    wt: 1:   J. More on written work and showing skill
  45.    wt: 1:   G. Written work formats for developing and showing skill
  46.    wt: 1:   E. When and how to correct errors
  47.    wt: 1:   How to Build Skills and Confidence
  48.    wt: 1:   Site Reviews

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  1.    wt: 5:   website reviews
  2.    wt: 5:   links Education Resources online
  3.    wt: 5:   site origins
  4.    wt: 5:   site eurekas
  5.    wt: 5:   About site lesson plans
  6.    wt: 5:   Mathematics Education Professors
  7.    wt: 5:   modern education
  8.    wt: 5:   Education Reform Inconsistencies
  9.    wt: 5:   how letters appear
  10.    wt: 5:   three goals for Mathematics Education
  11.    wt: 5:   05 13 OldSiteEntrancePage
  12.    wt: 5:   02 20 mathematics education references
  13.    wt: 5:   Education in mathematics science and technology
  14.    wt: 5:   Four ways to improve education reform
  15.    wt: 5:   How to be a better instructor
  16.    wt: 5:   education an empirical art
  17.    wt: 4:   why bother
  18.    wt: 4:   which way to go
  19.    wt: 4:   three goals to set for students
  20.    wt: 4:   Teach the teachers plus goals
  21.    wt: 4:   permissions for teachers
  22.    wt: 4:   Math Ed if it must be short make it lean effective
  23.    wt: 4:   Applied Maths Program14092009 POMME variant
  24.    wt: 4:   activities for students
  25.    wt: 4:   key notes and themes
  26.    wt: 4:   teacher certification
  27.    wt: 4:   learning takes time
  28.    wt: 4:   grouping students according to ability
  29.    wt: 4:   what should be learnt and When
  30.    wt: 4:   mathematics in context
  31.    wt: 4:   Postscript 2007 01 10
  32.    wt: 4:   five decades make a difference
  33.    wt: 4:   Maps Plans Drawings
  34.    wt: 4:   Secondary Three Mathematics
  35.    wt: 4:   Secondary Two Mathematics
  36.    wt: 4:   Secondary One Mathematics
  37.    wt: 4:   talk the algebra talk
  38.    wt: 4:   three difficulties
  39.    wt: 4:   teaching tips
  40.    wt: 4:   What to Tell Students
  41.    wt: 4:   mathematics curriculum shifts
  42.    wt: 4:   geometric implications for algebra
  43.    wt: 4:   teaching tutoring algebraic reason
  44.    wt: 4:   Lessening Algebra Difficulties
  45.    wt: 4:   the trouble with algebra
  46.    wt: 4:   04 29 New Mathematics Curriculum
  47.    wt: 4:   04 25 when to stop or suspend mathemat
  48.    wt: 4:   02 21 words for teachers
  49.    wt: 4:   three aims for mathematics students
  50.    wt: 4:   standards for course material
  51.    wt: 4:   Operational Viewpoint to Value
  52.    wt: 4:   formal or informal peer review
  53.    wt: 4:   Theory of Knowledge
  54.    wt: 4:   mathematics instruction in general
  55.    wt: 4:   Different Kinds of Reasoning in maths
  56.    wt: 4:   three kinds of reason in mathematics
  57.    wt: 4:   cultivating intelligence
  58.    wt: 4:   Motivation and Context Problem
  59.    wt: 4:   need for a mixed mathematics curriculum
  60.    wt: 4:   Leaner mathematics curriculum
  61.    wt: 4:   Prequel In For A Penny In For A Pound
  62.    wt: 4:   fairness and inductive principles for instruction
  63.    wt: 4:   words for mathematics instructor
  64.    wt: 2:   K LAMP Musings Science Education
  65.    wt: 2:   F LAMP Introduction Prerequisites
  66.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  67.    wt: 2:   11 pure mathematics
  68.    wt: 2:   10 statistics
  69.    wt: 2:   9 combinatorics probability sets
  70.    wt: 2:   8 analytic geometry etc
  71.    wt: 2:   7 logic review and decimals an odd combination
  72.    wt: 2:   6 polynomials etc
  73.    wt: 2:   5 logarithms and exponentials etc
  74.    wt: 2:   4 algebra
  75.    wt: 2:   3 Euclidean Geometry Leanly
  76.    wt: 2:   2 arithmetic with signed numbers
  77.    wt: 2:   1 arithmetic with unsigned numbers
  78.    wt: 2:   What is POMME
  79.    wt: 2:   Formula Evaluation how to show work
  80.    wt: 2:   Expression Evaluation how to show work
  81.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  82.    wt: 1:   Appendix 2 primary school Arithmetic 01
  83.    wt: 1:   Appendix 1 primary and preschool mathematic
  84.    wt: 1:   J LAMP Introduction Extrinsic Origins
  85.    wt: 1:   I LAMP Introduction Study Habits
  86.    wt: 1:   H LAMP Introduction Instructional Concepts
  87.    wt: 1:   G LAMP Introduction Problem Solving Skills
  88.    wt: 1:   E LAMP Introduction Modern Mathematics
  89.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  90.    wt: 1:   A Introduction Objectives
  91.    wt: 1:   Skills Chapter 5 Calculus
  92.    wt: 1:   Skills Chapter 4 Logic
  93.    wt: 1:   Ramblings Extrinsic numbers theory
  94.    wt: 1:   Ramblings Introduction Algebra Essay
  95.    wt: 1:   Skills Chapter 3 Algebra
  96.    wt: 1:   Skills Chapter 2 Geometry
  97.    wt: 1:   Skills Chapter 1 Arithmetic
  98.    wt: 1:   Skills Chapter 0 Introduction
  99.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  100.    wt: 1:   11 Help and Defend Your Child or Teens Education
  101.    wt: 1:   7 Tangent Function is odd on this domain
  102.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  103.    wt: 1:   5 Areas of Rectangles Revisited
  104.    wt: 1:   Formula Usage Show Work Format
  105.    wt: 1:   1 Written work formats for developing and showing skill
  106.    wt: 1:   19 Dividing Fractions How TO
  107.    wt: 1:   4 Adding Movements wiht opposite directions
  108.    wt: 1:   3 video Primes and Composites from 9 times table
  109.    wt: 1:   2 Prime and Composites less than 16
  110.    wt: 1:   1 video how Products are bigger than factor
  111.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  112.    wt: 1:   5. How to add decimals C. Examples
  113.    wt: 1:   4. How to add with decimals B with conversions
  114.    wt: 1:   3. How to add with decimals A sans conversions
  115.    wt: 1:   6 How long is a million seconds
  116.    wt: 1:   Appendix E. How To Study Mathematics and Why
  117.    wt: 1:   Appendix C. How to Read
  118.    wt: 1:   Appendix B. How To Learn
  119.    wt: 1:   Postscript B Mathematics Education References
  120.    wt: 1:   J. More on written work and showing skill
  121.    wt: 1:   G. Written work formats for developing and showing skill
  122.    wt: 1:   E. When and how to correct errors
  123.    wt: 1:   How to Build Skills and Confidence
  124.    wt: 1:   Site Reviews

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Road Safety Messages. First Question: When and why should you face traffic?

More Site Folders and Pages

Parents: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills.

Mathematics Skills For Ages 3 to 14

Skills with take home value

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


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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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