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: 6:   LAMP Lean Applied Mathematics Program/
  2.    wt: 3:   Mathematics Education Essays/
  3.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  4.    wt: 2:   10 Examples of Algebraic Reasoning/
  5.    wt: 2:   8 Unifying Theme For Algebra/
  6.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  7.    wt: 1:   Archives/
  8.    wt: 1:   Mathematics Skills Year by Year/
  9.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  10.    wt: 1:   4 Functions/
  11.    wt: 1:   3 Quadratics Geometrically/
  12.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  13.    wt: 1:   1 Five Polynomial Operations/
  14.    wt: 1:   More Algebra/
  15.    wt: 1:   B Real Numbers Extrinsic Development/
  16.    wt: 1:   A Origins of Counting and Figuring Methods/
  17.    wt: 1:   9 Proportionality Backwards and Forwards/
  18.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  19.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  20.    wt: 1:   5 Real Numbers/
  21.    wt: 1:   4 Computation Rules and Function Notation/
  22.    wt: 1:   Step 4 Gaussian Elimination/
  23.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  24.    wt: 1:   Step 1 Stick diagram and fractions/
  25.    wt: 1:   3 Solving Linear Equations/
  26.    wt: 1:   2 Formula Forward Use Evaluation/
  27.    wt: 1:   1 Working With Sets/
  28.    wt: 1:   Algebra Starter Lessons/
  29.    wt: 1:   Volume 2 Three Skills For Algebra/
  30.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  31.    wt: 1:   Mathematics 506 Lessons/
  32.    wt: 1:   Mathematics Skill Development Framework/

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103 matches:

  1.    wt: 3:   E LAMP Introduction Modern Mathematics
  2.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  3.    wt: 3:   Ramblings Introduction Algebra Essay
  4.    wt: 2:   J LAMP Introduction Extrinsic Origins
  5.    wt: 2:   I LAMP Introduction Study Habits
  6.    wt: 2:   H LAMP Introduction Instructional Concepts
  7.    wt: 2:   G LAMP Introduction Problem Solving Skills
  8.    wt: 2:   F LAMP Introduction Prerequisites
  9.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  10.    wt: 2:   Applied Maths Program14092009 POMME variant
  11.    wt: 2:   Leaner mathematics curriculum
  12.    wt: 2:   12 From Applied To Pure Mathematics
  13.    wt: 2:   5 Algebraic Solutions Introduction
  14.    wt: 1:   K LAMP Musings Science Education
  15.    wt: 1:   A Introduction Objectives
  16.    wt: 1:   Skills Chapter 3 Algebra
  17.    wt: 1:   Skills Chapter 0 Introduction
  18.    wt: 1:   11 pure mathematics
  19.    wt: 1:   4 algebra
  20.    wt: 1:   3 Euclidean Geometry Leanly
  21.    wt: 1:   Math Ed if it must be short make it lean effective
  22.    wt: 1:   Mathematics Education Professors
  23.    wt: 1:   mathematics in context
  24.    wt: 1:   Secondary Three Mathematics
  25.    wt: 1:   Secondary Two Mathematics
  26.    wt: 1:   Secondary One Mathematics
  27.    wt: 1:   talk the algebra talk
  28.    wt: 1:   mathematics curriculum shifts
  29.    wt: 1:   geometric implications for algebra
  30.    wt: 1:   teaching tutoring algebraic reason
  31.    wt: 1:   Lessening Algebra Difficulties
  32.    wt: 1:   the trouble with algebra
  33.    wt: 1:   three goals for Mathematics Education
  34.    wt: 1:   04 29 New Mathematics Curriculum
  35.    wt: 1:   02 20 mathematics education references
  36.    wt: 1:   three aims for mathematics students
  37.    wt: 1:   mathematics instruction in general
  38.    wt: 1:   Education in mathematics science and technology
  39.    wt: 1:   three kinds of reason in mathematics
  40.    wt: 1:   need for a mixed mathematics curriculum
  41.    wt: 1:   words for mathematics instructor
  42.    wt: 1:   chapitre 01 00 Introduction
  43.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  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:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  52.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  53.    wt: 1:   4 Function notation in and beyond mathematics
  54.    wt: 1:   2 Algebraic use of function notation
  55.    wt: 1:   1 Geometric Introduction of Function Notation
  56.    wt: 1:   Introduction Reading Guide
  57.    wt: 1:   Rewriting algebraic substitution as function substitutions
  58.    wt: 1:   1 Degrees and Radians Introduction
  59.    wt: 1:   5 Algebraic View of Slopes
  60.    wt: 1:   3 Inequalities Algebraically
  61.    wt: 1:   2 Algebraic View
  62.    wt: 1:   5 Equality in Algebra
  63.    wt: 1:   6 Algebraic Solution Example
  64.    wt: 1:   7 Compound Interest Formula Introduction
  65.    wt: 1:   4 A Brief Story of numbers and algebra
  66.    wt: 1:   1 Three Skills For Algebra
  67.    wt: 1:   1 Squares and Square Roots Introduction
  68.    wt: 1:   1 Least Common Multiples LCM Introduction
  69.    wt: 1:   13 Fraction Comparison Algebraic View
  70.    wt: 1:   11 Simplification an Algebraic View
  71.    wt: 1:   6 Multiplication Algebraically Take II
  72.    wt: 1:   4 video Prime Factorization Introduction
  73.    wt: 1:   Quick history of numbers and algebra
  74.    wt: 1:   18 Chain Rule Introduction
  75.    wt: 1:   2 Algebraic codification
  76.    wt: 1:   1 Numerical introduction
  77.    wt: 1:   E2 Algebraic Properties of Limits
  78.    wt: 1:   A1. Introduction
  79.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  80.    wt: 1:   Chapter 1.Introduction
  81.    wt: 1:   Appendix E. How To Study Mathematics and Why
  82.    wt: 1:   Chapter 18. Rules for Algebra
  83.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  84.    wt: 1:   Chapter 8 Three Skills For Algebra
  85.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  86.    wt: 1:   Postscript B Mathematics Education References
  87.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  88.    wt: 1:   Chapter 3 Algebra Difficulties
  89.    wt: 1:   Chapter 2 For and Against Mathematics
  90.    wt: 1:   Chapter 1 Introduction
  91.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  92.    wt: 1:   Chapter 1 Introduction
  93.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  94.    wt: 1:   S Adding words to algebra
  95.    wt: 1:   R Why Learn Mathematics Skills
  96.    wt: 1:   O On Learning Mathematics and Science
  97.    wt: 1:   N Mathematics Prepare for College Studies
  98.    wt: 1:   Helping the Blind in Logic and Mathematics
  99.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  100.    wt: 1:   More Algebra and Slope based Calculus Preview
  101.    wt: 1:   Systematic Algebra Skill Development Missing Links
  102.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  103.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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431 matches:

  1.    wt: 9:   E LAMP Introduction Modern Mathematics
  2.    wt: 9:   C LAMP Introduction Culture in Mathematics Education
  3.    wt: 9:   Ramblings Introduction Algebra Essay
  4.    wt: 8:   J LAMP Introduction Extrinsic Origins
  5.    wt: 8:   I LAMP Introduction Study Habits
  6.    wt: 8:   H LAMP Introduction Instructional Concepts
  7.    wt: 8:   G LAMP Introduction Problem Solving Skills
  8.    wt: 8:   F LAMP Introduction Prerequisites
  9.    wt: 8:   B LAMP Introduction Curriculum Development Standards
  10.    wt: 7:   K LAMP Musings Science Education
  11.    wt: 7:   A Introduction Objectives
  12.    wt: 7:   Skills Chapter 3 Algebra
  13.    wt: 7:   Skills Chapter 0 Introduction
  14.    wt: 6:   Appendix 2 primary school Arithmetic 01
  15.    wt: 6:   Appendix 1 primary and preschool mathematic
  16.    wt: 6:   Skills Chapter 5 Calculus
  17.    wt: 6:   Skills Chapter 4 Logic
  18.    wt: 6:   Ramblings Extrinsic numbers theory
  19.    wt: 6:   Skills Chapter 2 Geometry
  20.    wt: 6:   Skills Chapter 1 Arithmetic
  21.    wt: 5:   Applied Maths Program14092009 POMME variant
  22.    wt: 5:   Leaner mathematics curriculum
  23.    wt: 4:   Math Ed if it must be short make it lean effective
  24.    wt: 4:   Mathematics Education Professors
  25.    wt: 4:   mathematics in context
  26.    wt: 4:   Secondary Three Mathematics
  27.    wt: 4:   Secondary Two Mathematics
  28.    wt: 4:   Secondary One Mathematics
  29.    wt: 4:   talk the algebra talk
  30.    wt: 4:   mathematics curriculum shifts
  31.    wt: 4:   geometric implications for algebra
  32.    wt: 4:   teaching tutoring algebraic reason
  33.    wt: 4:   Lessening Algebra Difficulties
  34.    wt: 4:   the trouble with algebra
  35.    wt: 4:   three goals for Mathematics Education
  36.    wt: 4:   04 29 New Mathematics Curriculum
  37.    wt: 4:   02 20 mathematics education references
  38.    wt: 4:   three aims for mathematics students
  39.    wt: 4:   mathematics instruction in general
  40.    wt: 4:   Education in mathematics science and technology
  41.    wt: 4:   three kinds of reason in mathematics
  42.    wt: 4:   need for a mixed mathematics curriculum
  43.    wt: 4:   words for mathematics instructor
  44.    wt: 4:   5 Algebraic Solutions Introduction
  45.    wt: 3:   11 pure mathematics
  46.    wt: 3:   4 algebra
  47.    wt: 3:   3 Euclidean Geometry Leanly
  48.    wt: 3:   why bother
  49.    wt: 3:   which way to go
  50.    wt: 3:   website reviews
  51.    wt: 3:   three goals to set for students
  52.    wt: 3:   Teach the teachers plus goals
  53.    wt: 3:   permissions for teachers
  54.    wt: 3:   activities for students
  55.    wt: 3:   links Education Resources online
  56.    wt: 3:   site origins
  57.    wt: 3:   site eurekas
  58.    wt: 3:   About site lesson plans
  59.    wt: 3:   key notes and themes
  60.    wt: 3:   teacher certification
  61.    wt: 3:   modern education
  62.    wt: 3:   learning takes time
  63.    wt: 3:   grouping students according to ability
  64.    wt: 3:   what should be learnt and When
  65.    wt: 3:   Postscript 2007 01 10
  66.    wt: 3:   Education Reform Inconsistencies
  67.    wt: 3:   five decades make a difference
  68.    wt: 3:   Maps Plans Drawings
  69.    wt: 3:   how letters appear
  70.    wt: 3:   three difficulties
  71.    wt: 3:   teaching tips
  72.    wt: 3:   What to Tell Students
  73.    wt: 3:   05 13 OldSiteEntrancePage
  74.    wt: 3:   04 25 when to stop or suspend mathemat
  75.    wt: 3:   02 21 words for teachers
  76.    wt: 3:   standards for course material
  77.    wt: 3:   Operational Viewpoint to Value
  78.    wt: 3:   formal or informal peer review
  79.    wt: 3:   Theory of Knowledge
  80.    wt: 3:   Different Kinds of Reasoning in maths
  81.    wt: 3:   cultivating intelligence
  82.    wt: 3:   Four ways to improve education reform
  83.    wt: 3:   How to be a better instructor
  84.    wt: 3:   Motivation and Context Problem
  85.    wt: 3:   Prequel In For A Penny In For A Pound
  86.    wt: 3:   education an empirical art
  87.    wt: 3:   fairness and inductive principles for instruction
  88.    wt: 3:   3 Inequalities Algebraically
  89.    wt: 3:   6 Algebraic Solution Example
  90.    wt: 2:   10 statistics
  91.    wt: 2:   9 combinatorics probability sets
  92.    wt: 2:   8 analytic geometry etc
  93.    wt: 2:   7 logic review and decimals an odd combination
  94.    wt: 2:   6 polynomials etc
  95.    wt: 2:   5 logarithms and exponentials etc
  96.    wt: 2:   2 arithmetic with signed numbers
  97.    wt: 2:   1 arithmetic with unsigned numbers
  98.    wt: 2:   What is POMME
  99.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  100.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  101.    wt: 2:   4 Function notation in and beyond mathematics
  102.    wt: 2:   2 Algebraic use of function notation
  103.    wt: 2:   1 Geometric Introduction of Function Notation
  104.    wt: 2:   Introduction Reading Guide
  105.    wt: 2:   Rewriting algebraic substitution as function substitutions
  106.    wt: 2:   12 From Applied To Pure Mathematics
  107.    wt: 2:   5 Areas of Rectangles Revisited
  108.    wt: 2:   4 Fraction Operations Axiomatic Development
  109.    wt: 2:   2 Fraction Operations Physical Development
  110.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  111.    wt: 2:   2 Algebraic View
  112.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  113.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  114.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  115.    wt: 2:   6 Compound Interest Forward and Backwards
  116.    wt: 2:   5 Triangle Area Formula Backwards
  117.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  118.    wt: 2:   3 Linear Equation Literal Solution More
  119.    wt: 2:   2 Linear Equation Literal Solution
  120.    wt: 2:   1 Changing Calculations
  121.    wt: 2:   5 Equality in Algebra
  122.    wt: 2:   4 Four Examples Fractional Coefficients
  123.    wt: 2:   3 Four Examples
  124.    wt: 2:   2 Three Examples
  125.    wt: 2:   1 Proper Equal Sign Usage
  126.    wt: 2:   7 Compound Interest Formula Introduction
  127.    wt: 2:   4 A Brief Story of numbers and algebra
  128.    wt: 2:   1 Three Skills For Algebra
  129.    wt: 2:   Appendix E. How To Study Mathematics and Why
  130.    wt: 2:   Chapter 18. Rules for Algebra
  131.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  132.    wt: 2:   Chapter 8 Three Skills For Algebra
  133.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  134.    wt: 2:   Postscript B Mathematics Education References
  135.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  136.    wt: 2:   Chapter 3 Algebra Difficulties
  137.    wt: 2:   Chapter 2 For and Against Mathematics
  138.    wt: 2:   Chapter 1 Introduction
  139.    wt: 2:   Helping the Blind in Logic and Mathematics
  140.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  141.    wt: 2:   More Algebra and Slope based Calculus Preview
  142.    wt: 2:   Systematic Algebra Skill Development Missing Links
  143.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  144.    wt: 1:   chapitre 01 00 Introduction
  145.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  146.    wt: 1:   22 Student Centered Highschool Mathematics
  147.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  148.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  149.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  150.    wt: 1:   18 Primary School Mathematics
  151.    wt: 1:   16 Secondary Mathematics Tips
  152.    wt: 1:   12 Goals and Objectives For Mathematics
  153.    wt: 1:   Ages 12 to 14 Skills with take home value
  154.    wt: 1:   Ages 12 to 14 Geometry
  155.    wt: 1:   Ages 12 to 14 Arithmetic
  156.    wt: 1:   Ages 10 to 12 Geometry
  157.    wt: 1:   Ages 10 to 12 Arithmetic
  158.    wt: 1:   Ages 9 to 10
  159.    wt: 1:   Ages 8 to 9
  160.    wt: 1:   Ages 7 to 8
  161.    wt: 1:   Ages 6 to 7
  162.    wt: 1:   Ages 4 plus to 5 plus
  163.    wt: 1:   Ages 3 plus to 4 plus
  164.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  165.    wt: 1:   sign monoticity analysis example 4
  166.    wt: 1:   sign monoticity analysis example 3
  167.    wt: 1:   sign monoticity analysis example 2
  168.    wt: 1:   sign monoticity analysis example 1
  169.    wt: 1:   26 Function definitions done and coming
  170.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  171.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  172.    wt: 1:   23 Inverse Functions
  173.    wt: 1:   22 Square Root function graphically
  174.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  175.    wt: 1:   20 Interchanging coordinates a reflection
  176.    wt: 1:   19 Horizontal line rule and method
  177.    wt: 1:   18 Vertical Line Rule and Method
  178.    wt: 1:   17 Function maxima minima and their location
  179.    wt: 1:   16 Increasing or decreasing on intervals
  180.    wt: 1:   15 Sign analysis of functions
  181.    wt: 1:   14 Surjections Injections Bijections
  182.    wt: 1:   13 From one to one to many to one
  183.    wt: 1:   12 Function Domain Recognition Exercises
  184.    wt: 1:   11 Function Domain Range Source and Targets
  185.    wt: 1:   10 Interval Notation
  186.    wt: 1:   9 Set theory term relation possible origins
  187.    wt: 1:   8 Set view of relations and functions
  188.    wt: 1:   7 Functions with finite domains
  189.    wt: 1:   6 Set Existence Formation and Notation
  190.    wt: 1:   5 Function notation for geometric transformations
  191.    wt: 1:   3 Formula or function graphing exercise
  192.    wt: 1:   A Quadratics Summary
  193.    wt: 1:   10 quadratic exercises
  194.    wt: 1:   9 quadratics physical and further context
  195.    wt: 1:   8 quadratics backward use of various formulas
  196.    wt: 1:   7 quadratic formulla derivation
  197.    wt: 1:   6 quadratics numerical approach
  198.    wt: 1:   5 quadratics completing the square
  199.    wt: 1:   4 quadratics difference of two squares
  200.    wt: 1:   3 quadratics factoring by inspection
  201.    wt: 1:   2 quadratics graphing in general
  202.    wt: 1:   1 quadratics graphing exercises
  203.    wt: 1:   Quadratics in 10 steps
  204.    wt: 1:   11 Growth and Decay in Biology
  205.    wt: 1:   10 Exponential Growth and Decay Models
  206.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  207.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  208.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  209.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  210.    wt: 1:   5 Natural Logarithm Calculator Exercises
  211.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  212.    wt: 1:   2 Square Root Simplification a prequel
  213.    wt: 1:   1 Calculator Starter Exercises
  214.    wt: 1:   8 Notes for instructors or tutors
  215.    wt: 1:   7 Links Lessons Elsewhere
  216.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  217.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  218.    wt: 1:   4 Polynomials Long division linear divisor
  219.    wt: 1:   3 Polynomials Multiplication Addition
  220.    wt: 1:   2 Column Multiplication Method
  221.    wt: 1:   1 Polynomials Distributive Law
  222.    wt: 1:   1 Degrees and Radians Introduction
  223.    wt: 1:   5 Algebraic View of Slopes
  224.    wt: 1:   musings do not puiblish real numbers
  225.    wt: 1:   A Modular and Remainder Arithmetic
  226.    wt: 1:   A Signed Number Arithmetic Review
  227.    wt: 1:   26 More Less Greater Than Comparison
  228.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  229.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  230.    wt: 1:   23 Distributive Law Two Derivations
  231.    wt: 1:   22 Multiplication of Signed Numbers
  232.    wt: 1:   21 Addition of Multiples of a Single Vector
  233.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  234.    wt: 1:   19 Signed Multiples of Vectors
  235.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  236.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  237.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  238.    wt: 1:   15 Head to Tails in place Addition Associative
  239.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  240.    wt: 1:   13 Arrows and Vectors in a Plane
  241.    wt: 1:   12 Real Numbers Line Signed Coordinates
  242.    wt: 1:   11 Signed Number Addition and Addition Properties
  243.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  244.    wt: 1:   9 Division with Digits after Decimal Point
  245.    wt: 1:   8 Division and Mulplication of Compound Fractions
  246.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  247.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  248.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  249.    wt: 1:   4 Location of Point in Decimal Addition
  250.    wt: 1:   3 Location of Point in Decimal Multiplication
  251.    wt: 1:   2 Counting Digits in Decimal Multiplication
  252.    wt: 1:   1 Fractions with Finite Decimal Expansions
  253.    wt: 1:   E Long Division Methods more
  254.    wt: 1:   D Long Division Methods
  255.    wt: 1:   C Three Decimal Subtraction Methods
  256.    wt: 1:   B Decimal Comparison and Subtraction
  257.    wt: 1:   A Decimal Addition Columm Methods
  258.    wt: 1:   8 Column Multiplication Methods in General
  259.    wt: 1:   7 Decimals Multiplication Methods Examples
  260.    wt: 1:   6 Column Methods for Decimal Multiplication
  261.    wt: 1:   5 Distributive Law for Whole Numbers
  262.    wt: 1:   4 Commutative Law Groups Counting Form
  263.    wt: 1:   3 Multiplicative Counting Skills Principles
  264.    wt: 1:   2 Combing Counts Addition Skills and Principles
  265.    wt: 1:   1 The Counting Origins of Numbers
  266.    wt: 1:   5 Proportionality in Equivalent Fractions
  267.    wt: 1:   4 Rates Ratios and Proporitionality
  268.    wt: 1:   3 Proportionality Examples
  269.    wt: 1:   1 What is Proportionality
  270.    wt: 1:   6 Equations and Systems Equivalent or Implied
  271.    wt: 1:   4 Subtraction and Division Axioms
  272.    wt: 1:   3 Product Axioms Two Forms
  273.    wt: 1:   2 Addition and Multiplication Axioms
  274.    wt: 1:   1 Equivalent Computation Rules
  275.    wt: 1:   5 Greater More Less Than Signs in General
  276.    wt: 1:   4 Comparison of Negative Numbers
  277.    wt: 1:   3 More and Less Than with Unlike Signs
  278.    wt: 1:   2 More and Less Than for Counts and Measures
  279.    wt: 1:   1 Real Numbers Comparison
  280.    wt: 1:   16 Real Numbers Comparison
  281.    wt: 1:   15 Real Number Division
  282.    wt: 1:   14 Real Number Multiplication
  283.    wt: 1:   13 Real Number Subtraction
  284.    wt: 1:   12 Real Number Additive Inverses or Negatives
  285.    wt: 1:   11 Real Number Addition
  286.    wt: 1:   10 Real Number Lengths and Signs
  287.    wt: 1:   9 Coordinates for Regions in Space
  288.    wt: 1:   8 Coordinates for Maps and Planes
  289.    wt: 1:   7 Real Numbers as Line Cordinates
  290.    wt: 1:   6 Unsigned Real Numbers
  291.    wt: 1:   5 Rational Numbers More
  292.    wt: 1:   4 Rational Numbers
  293.    wt: 1:   3 Fractions
  294.    wt: 1:   2 Integers
  295.    wt: 1:   1 Whole and Natural Numbers
  296.    wt: 1:   5 Independent versus Dependent Variables
  297.    wt: 1:   4 Changing Letters
  298.    wt: 1:   3 Geometric Formulas and Function Notation
  299.    wt: 1:   2 Computation Rules Evaluation
  300.    wt: 1:   1 Formulas Dependence and Function Notation
  301.    wt: 1:   More Exercises
  302.    wt: 1:   Simple Exercises
  303.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  304.    wt: 1:   4 GE III Animated Examples
  305.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  306.    wt: 1:   3 GE III Equation Addition and Multiplication
  307.    wt: 1:   2 GE II Comparison
  308.    wt: 1:   1 GE Substitution four examples
  309.    wt: 1:   4 Solving a triangular system exercise
  310.    wt: 1:   3 Solving triangular system example
  311.    wt: 1:   2 Essentially one exercises three with solution
  312.    wt: 1:   1 Essentially One Unknown
  313.    wt: 1:   Skill Development Notes
  314.    wt: 1:   10 One Example
  315.    wt: 1:   9 Three Examples
  316.    wt: 1:   8 One Example
  317.    wt: 1:   7 Two Examples
  318.    wt: 1:   6 Three Examples
  319.    wt: 1:   5 Three Examples
  320.    wt: 1:   4 Two Examples
  321.    wt: 1:   3 Two Examples
  322.    wt: 1:   2 Three Examples
  323.    wt: 1:   Using Letters for Physical Quantities
  324.    wt: 1:   Formula Usage Show Work Format
  325.    wt: 1:   13 Naming Identifying Formulas with Words
  326.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  327.    wt: 1:   11 Volume of Sphere
  328.    wt: 1:   10 Volume of Pyramid
  329.    wt: 1:   9 Volume of Cone
  330.    wt: 1:   8 Compound Interest Formula Evaluation
  331.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  332.    wt: 1:   5 Box Volume Formula Example
  333.    wt: 1:   4 Circle Area Formula Example
  334.    wt: 1:   3 Triangle Area Formula Example
  335.    wt: 1:   2 Another Rectangle Area Formula Example
  336.    wt: 1:   1 Written work formats for developing and showing skill
  337.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  338.    wt: 1:   9 Sets in Probability and Statistics
  339.    wt: 1:   8 Sets of Numbers
  340.    wt: 1:   7 Cautious or Safe Set Construction
  341.    wt: 1:   6 Power Set Notation
  342.    wt: 1:   5 Product Builder Notation
  343.    wt: 1:   4 Subset Builder Notation
  344.    wt: 1:   3 Counting with Sets etc
  345.    wt: 1:   2 Venn Diagrams
  346.    wt: 1:   1 Finite Sets
  347.    wt: 1:   6 Three Notions of What is a Variable
  348.    wt: 1:   5 Talking about Numbers and Quantities
  349.    wt: 1:   3 Adding Words To Arithmetic
  350.    wt: 1:   2 What is a Variable
  351.    wt: 1:   About Folder Contents
  352.    wt: 1:   1 Squares and Square Roots Introduction
  353.    wt: 1:   1 Least Common Multiples LCM Introduction
  354.    wt: 1:   13 Fraction Comparison Algebraic View
  355.    wt: 1:   11 Simplification an Algebraic View
  356.    wt: 1:   6 Multiplication Algebraically Take II
  357.    wt: 1:   4 video Prime Factorization Introduction
  358.    wt: 1:   Quick history of numbers and algebra
  359.    wt: 1:   18 Chain Rule Introduction
  360.    wt: 1:   2 Algebraic codification
  361.    wt: 1:   1 Numerical introduction
  362.    wt: 1:   E2 Algebraic Properties of Limits
  363.    wt: 1:   A1. Introduction
  364.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  365.    wt: 1:   Chapter 1.Introduction
  366.    wt: 1:   Postscript More on Better Performance
  367.    wt: 1:   Postscript For Better Performance
  368.    wt: 1:   Appendix D. What to do in School and Why
  369.    wt: 1:   Appendix C. How to Read
  370.    wt: 1:   Appendix B. How To Learn
  371.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  372.    wt: 1:   Chapter 31 Direct and Indirect Reason
  373.    wt: 1:   Chapter 30 Truth Tables
  374.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  375.    wt: 1:   Chapter 28 Occurrence Tables
  376.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  377.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  378.    wt: 1:   Chapter 25. Mathematical Induction Examples
  379.    wt: 1:   Chapter 25. Mathematical Induction Examples
  380.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  381.    wt: 1:   Chapter 23. Notation For Sums
  382.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  383.    wt: 1:   Chapter 21. Third Reading Guide
  384.    wt: 1:   Chapter 20. Degrees and Radians
  385.    wt: 1:   Chapter 19. Functions and Sets
  386.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  387.    wt: 1:   Chapter 16. Painless Theorem Proving
  388.    wt: 1:   Chapter 15. Solving Linear Equations
  389.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  390.    wt: 1:   Chapter 13. Second Reading Guide
  391.    wt: 1:   Chapter 12. Shorthand Usage Guide
  392.    wt: 1:   Chapter 11. Why Shorthand
  393.    wt: 1:   Chapter 10 Describing and Changing Calculations
  394.    wt: 1:   Postscript What is a Variable
  395.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  396.    wt: 1:   Solutions For Arithmetic Exercises
  397.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  398.    wt: 1:   Chapter 6 Change of Language
  399.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  400.    wt: 1:   Chapter 4 Longer Chains of Reason
  401.    wt: 1:   Chapter 3 Chains of Reason
  402.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  403.    wt: 1:   Foreword
  404.    wt: 1:   Annotated Links to Material Elsehwere
  405.    wt: 1:   Postscript A Three Remarks
  406.    wt: 1:   Chapter 12 Four Phases
  407.    wt: 1:   Chapter 11 Elementary Instruction
  408.    wt: 1:   Chapter 10 Transition
  409.    wt: 1:   Chapter 9 The Two Ends
  410.    wt: 1:   Chapter 8 Modern Instruction
  411.    wt: 1:   Chapter 7 Two Treatments of Geometry
  412.    wt: 1:   Chapter 5 Four References
  413.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  414.    wt: 1:   Foreword
  415.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  416.    wt: 1:   Chapter 1 Introduction
  417.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  418.    wt: 1:   S Adding words to algebra
  419.    wt: 1:   R Why Learn Mathematics Skills
  420.    wt: 1:   O On Learning Mathematics and Science
  421.    wt: 1:   N Mathematics Prepare for College Studies
  422.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  423.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  424.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  425.    wt: 1:   Implementation Notes
  426.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  427.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  428.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  429.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  430.    wt: 1:   Which Way To Go
  431.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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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.

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Logarithms-ax & m/nth roots
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What is a Variable
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