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.

Location: Site Entrance << Search

[1] [2] [3]


Key Word Search

Folder Search

5 matches:

  1.    wt: 4:   Mathematics Education Essays/
  2.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 1:   LAMP Lean Applied Mathematics Program/
  4.    wt: 1:   Archives/
  5.    wt: 1:   Volume 2 Three Skills For Algebra/

Web Page Search

40 matches:

  1.    wt: 2:   three goals for Mathematics Education
  2.    wt: 2:   Postscript A Three Remarks
  3.    wt: 2:   Three Remarks
  4.    wt: 1:   K LAMP Musings Science Education
  5.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  6.    wt: 1:   three goals to set for students
  7.    wt: 1:   links Education Resources online
  8.    wt: 1:   Mathematics Education Professors
  9.    wt: 1:   modern education
  10.    wt: 1:   Education Reform Inconsistencies
  11.    wt: 1:   Secondary Three Mathematics
  12.    wt: 1:   three difficulties
  13.    wt: 1:   02 20 mathematics education references
  14.    wt: 1:   three aims for mathematics students
  15.    wt: 1:   Education in mathematics science and technology
  16.    wt: 1:   three kinds of reason in mathematics
  17.    wt: 1:   Four ways to improve education reform
  18.    wt: 1:   education an empirical art
  19.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  20.    wt: 1:   11 Help and Defend Your Child or Teens Education
  21.    wt: 1:   8 The Effect of Negative Remarks
  22.    wt: 1:   4 Equations for lines three forms
  23.    wt: 1:   C Three Decimal Subtraction Methods
  24.    wt: 1:   2 Essentially one exercises three with solution
  25.    wt: 1:   2 Three Examples
  26.    wt: 1:   9 Three Examples
  27.    wt: 1:   6 Three Examples
  28.    wt: 1:   5 Three Examples
  29.    wt: 1:   2 Three Examples
  30.    wt: 1:   6 Three Notions of What is a Variable
  31.    wt: 1:   1 Three Skills For Algebra
  32.    wt: 1:   D Three Term Ratios
  33.    wt: 1:   4 Two and Three Digit Multipliers
  34.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  35.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  36.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  37.    wt: 1:   11 Limits at infinity Three Examples
  38.    wt: 1:   10 Three one sided limits with infinite values
  39.    wt: 1:   Chapter 8 Three Skills For Algebra
  40.    wt: 1:   Postscript B Mathematics Education References

Extended Search

173 matches:

  1.    wt: 6:   three goals for Mathematics Education
  2.    wt: 5:   three goals to set for students
  3.    wt: 5:   links Education Resources online
  4.    wt: 5:   Mathematics Education Professors
  5.    wt: 5:   modern education
  6.    wt: 5:   Education Reform Inconsistencies
  7.    wt: 5:   Secondary Three Mathematics
  8.    wt: 5:   three difficulties
  9.    wt: 5:   02 20 mathematics education references
  10.    wt: 5:   three aims for mathematics students
  11.    wt: 5:   Education in mathematics science and technology
  12.    wt: 5:   three kinds of reason in mathematics
  13.    wt: 5:   Four ways to improve education reform
  14.    wt: 5:   education an empirical art
  15.    wt: 4:   why bother
  16.    wt: 4:   which way to go
  17.    wt: 4:   website reviews
  18.    wt: 4:   Teach the teachers plus goals
  19.    wt: 4:   permissions for teachers
  20.    wt: 4:   Math Ed if it must be short make it lean effective
  21.    wt: 4:   Applied Maths Program14092009 POMME variant
  22.    wt: 4:   activities for students
  23.    wt: 4:   site origins
  24.    wt: 4:   site eurekas
  25.    wt: 4:   About site lesson plans
  26.    wt: 4:   key notes and themes
  27.    wt: 4:   teacher certification
  28.    wt: 4:   learning takes time
  29.    wt: 4:   grouping students according to ability
  30.    wt: 4:   what should be learnt and When
  31.    wt: 4:   mathematics in context
  32.    wt: 4:   Postscript 2007 01 10
  33.    wt: 4:   five decades make a difference
  34.    wt: 4:   Maps Plans Drawings
  35.    wt: 4:   how letters appear
  36.    wt: 4:   Secondary Two Mathematics
  37.    wt: 4:   Secondary One Mathematics
  38.    wt: 4:   talk the algebra talk
  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:   05 13 OldSiteEntrancePage
  47.    wt: 4:   04 29 New Mathematics Curriculum
  48.    wt: 4:   04 25 when to stop or suspend mathemat
  49.    wt: 4:   02 21 words for teachers
  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:   cultivating intelligence
  57.    wt: 4:   How to be a better instructor
  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:   C LAMP Introduction Culture in Mathematics Education
  66.    wt: 2:   11 pure mathematics
  67.    wt: 2:   10 statistics
  68.    wt: 2:   9 combinatorics probability sets
  69.    wt: 2:   8 analytic geometry etc
  70.    wt: 2:   7 logic review and decimals an odd combination
  71.    wt: 2:   6 polynomials etc
  72.    wt: 2:   5 logarithms and exponentials etc
  73.    wt: 2:   4 algebra
  74.    wt: 2:   3 Euclidean Geometry Leanly
  75.    wt: 2:   2 arithmetic with signed numbers
  76.    wt: 2:   1 arithmetic with unsigned numbers
  77.    wt: 2:   What is POMME
  78.    wt: 2:   Chapter 8 Three Skills For Algebra
  79.    wt: 2:   Chapter 3 Chains of Reason
  80.    wt: 2:   Postscript A Three Remarks
  81.    wt: 2:   Three Remarks
  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:   F LAMP Introduction Prerequisites
  89.    wt: 1:   E LAMP Introduction Modern Mathematics
  90.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  91.    wt: 1:   A Introduction Objectives
  92.    wt: 1:   Skills Chapter 5 Calculus
  93.    wt: 1:   Skills Chapter 4 Logic
  94.    wt: 1:   Ramblings Extrinsic numbers theory
  95.    wt: 1:   Ramblings Introduction Algebra Essay
  96.    wt: 1:   Skills Chapter 3 Algebra
  97.    wt: 1:   Skills Chapter 2 Geometry
  98.    wt: 1:   Skills Chapter 1 Arithmetic
  99.    wt: 1:   Skills Chapter 0 Introduction
  100.    wt: 1:   B Electromotive force conventional current01
  101.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  102.    wt: 1:   11 Help and Defend Your Child or Teens Education
  103.    wt: 1:   8 The Effect of Negative Remarks
  104.    wt: 1:   3 Formula or function graphing exercise
  105.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  106.    wt: 1:   9 Straight Lines through Origin Equations
  107.    wt: 1:   4 Equations for lines three forms
  108.    wt: 1:   26 More Less Greater Than Comparison
  109.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  110.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  111.    wt: 1:   23 Distributive Law Two Derivations
  112.    wt: 1:   22 Multiplication of Signed Numbers
  113.    wt: 1:   C Three Decimal Subtraction Methods
  114.    wt: 1:   2 Essentially one exercises three with solution
  115.    wt: 1:   2 Three Examples
  116.    wt: 1:   9 Three Examples
  117.    wt: 1:   6 Three Examples
  118.    wt: 1:   5 Three Examples
  119.    wt: 1:   2 Three Examples
  120.    wt: 1:   6 Three Notions of What is a Variable
  121.    wt: 1:   1 Three Skills For Algebra
  122.    wt: 1:   D Three Term Ratios
  123.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  124.    wt: 1:   4 Two and Three Digit Multipliers
  125.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  126.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  127.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  128.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  129.    wt: 1:   11 Limits at infinity Three Examples
  130.    wt: 1:   10 Three one sided limits with infinite values
  131.    wt: 1:   4 Numerical properties
  132.    wt: 1:   Postscript More on Better Performance
  133.    wt: 1:   Postscript For Better Performance
  134.    wt: 1:   Appendix E. How To Study Mathematics and Why
  135.    wt: 1:   Appendix D. What to do in School and Why
  136.    wt: 1:   Appendix C. How to Read
  137.    wt: 1:   Appendix B. How To Learn
  138.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  139.    wt: 1:   Chapter 31 Direct and Indirect Reason
  140.    wt: 1:   Chapter 30 Truth Tables
  141.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  142.    wt: 1:   Chapter 28 Occurrence Tables
  143.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  144.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  145.    wt: 1:   Chapter 25. Mathematical Induction Examples
  146.    wt: 1:   Chapter 25. Mathematical Induction Examples
  147.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  148.    wt: 1:   Chapter 23. Notation For Sums
  149.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  150.    wt: 1:   Chapter 21. Third Reading Guide
  151.    wt: 1:   Chapter 20. Degrees and Radians
  152.    wt: 1:   Chapter 19. Functions and Sets
  153.    wt: 1:   Chapter 18. Rules for Algebra
  154.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  155.    wt: 1:   Chapter 16. Painless Theorem Proving
  156.    wt: 1:   Chapter 15. Solving Linear Equations
  157.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  158.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  159.    wt: 1:   Chapter 13. Second Reading Guide
  160.    wt: 1:   Chapter 12. Shorthand Usage Guide
  161.    wt: 1:   Chapter 11. Why Shorthand
  162.    wt: 1:   Chapter 10 Describing and Changing Calculations
  163.    wt: 1:   Postscript What is a Variable
  164.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  165.    wt: 1:   Solutions For Arithmetic Exercises
  166.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  167.    wt: 1:   Chapter 6 Change of Language
  168.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  169.    wt: 1:   Chapter 4 Longer Chains of Reason
  170.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  171.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  172.    wt: 1:   Foreword
  173.    wt: 1:   Postscript B Mathematics Education References

Bookmark this page

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


Return to Page Top

Location: Site Entrance << Search

[1] [2] [3]


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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.