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: 2:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 2:   Mathematics Education Essays/
  4.    wt: 2:   Mathematics Skills Year by Year/
  5.    wt: 2:   3 Prime Factorization Skills/
  6.    wt: 1:   Archives/
  7.    wt: 1:   Step 4 Gaussian Elimination/
  8.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  9.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  10.    wt: 1:   Step 1 Stick diagram and fractions/
  11.    wt: 1:   3 Solving Linear Equations/
  12.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  13.    wt: 1:   11 Squares and Square Roots/
  14.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  15.    wt: 1:   9 Combinatorics Trees Tables and Products/
  16.    wt: 1:   8 Arithmetic with Signed Numbers/
  17.    wt: 1:   7 Arithmetic and Fractions with Units/
  18.    wt: 1:   6 Fractions and Ratios/
  19.    wt: 1:   5 Integers/
  20.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  21.    wt: 1:   D Decimal Long Division Methods/
  22.    wt: 1:   C Decimal Multiplication Methods/
  23.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  24.    wt: 1:   A Decimal Counting and Adding Methods/
  25.    wt: 1:   2 Arithmetic with Decimals/
  26.    wt: 1:   1 Decimal Place Value/
  27.    wt: 1:   Arithmetic and Number Theory Skills/
  28.    wt: 1:   Time Date Matters/
  29.    wt: 1:   Skills with take home value/
  30.    wt: 1:   Volume 2 Three Skills For Algebra/
  31.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  32.    wt: 1:   Mathematics 506 Lessons/
  33.    wt: 1:   Mathematics Skill Development Framework/

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  1.    wt: 5:   G LAMP Introduction Problem Solving Skills
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  3.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
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  5.    wt: 2:   I LAMP Introduction Study Habits
  6.    wt: 2:   H LAMP Introduction Instructional Concepts
  7.    wt: 2:   F LAMP Introduction Prerequisites
  8.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  9.    wt: 2:   Skills Chapter 0 Introduction
  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:   8 Triangles Cascade Problem Solving
  14.    wt: 2:   R Why Learn Mathematics Skills
  15.    wt: 2:   H more Routine to non routine problem solving
  16.    wt: 2:   H Jigsaw puzzles and problem solving
  17.    wt: 1:   K LAMP Musings Science Education
  18.    wt: 1:   A Introduction Objectives
  19.    wt: 1:   Skills Chapter 5 Calculus
  20.    wt: 1:   Skills Chapter 4 Logic
  21.    wt: 1:   Ramblings Introduction Algebra Essay
  22.    wt: 1:   Skills Chapter 3 Algebra
  23.    wt: 1:   Skills Chapter 2 Geometry
  24.    wt: 1:   Skills Chapter 1 Arithmetic
  25.    wt: 1:   11 pure mathematics
  26.    wt: 1:   3 Euclidean Geometry Leanly
  27.    wt: 1:   Math Ed if it must be short make it lean effective
  28.    wt: 1:   Mathematics Education Professors
  29.    wt: 1:   mathematics in context
  30.    wt: 1:   Secondary Three Mathematics
  31.    wt: 1:   Secondary Two Mathematics
  32.    wt: 1:   Secondary One Mathematics
  33.    wt: 1:   mathematics curriculum shifts
  34.    wt: 1:   three goals for Mathematics Education
  35.    wt: 1:   04 29 New Mathematics Curriculum
  36.    wt: 1:   02 20 mathematics education references
  37.    wt: 1:   three aims for mathematics students
  38.    wt: 1:   mathematics instruction in general
  39.    wt: 1:   Education in mathematics science and technology
  40.    wt: 1:   three kinds of reason in mathematics
  41.    wt: 1:   Motivation and Context Problem
  42.    wt: 1:   need for a mixed mathematics curriculum
  43.    wt: 1:   words for mathematics instructor
  44.    wt: 1:   chapitre 01 00 Introduction
  45.    wt: 1:   problemes responses
  46.    wt: 1:   problemes algebre et arithmetique
  47.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  48.    wt: 1:   22 Student Centered Highschool Mathematics
  49.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  50.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  51.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  52.    wt: 1:   18 Primary School Mathematics
  53.    wt: 1:   16 Secondary Mathematics Tips
  54.    wt: 1:   12 Goals and Objectives For Mathematics
  55.    wt: 1:   2 Reading and Writing Skills
  56.    wt: 1:   1 Speaking Skills
  57.    wt: 1:   Ages 12 to 14 Skills with take home value
  58.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  59.    wt: 1:   4 Function notation in and beyond mathematics
  60.    wt: 1:   1 Geometric Introduction of Function Notation
  61.    wt: 1:   Introduction Reading Guide
  62.    wt: 1:   1 Degrees and Radians Introduction
  63.    wt: 1:   Straight Lines Instersection Solving Equations
  64.    wt: 1:   12 Triangles Similarity More Problems
  65.    wt: 1:   11 Triangle Similarity Missing Side Problem
  66.    wt: 1:   6 Intersection of lines by solving linear systems
  67.    wt: 1:   3 Multiplicative Counting Skills Principles
  68.    wt: 1:   2 Combing Counts Addition Skills and Principles
  69.    wt: 1:   4 Solving a triangular system exercise
  70.    wt: 1:   3 Solving triangular system example
  71.    wt: 1:   5 Algebraic Solutions Introduction
  72.    wt: 1:   7 Compound Interest Formula Introduction
  73.    wt: 1:   1 Three Skills For Algebra
  74.    wt: 1:   1 Squares and Square Roots Introduction
  75.    wt: 1:   1 Least Common Multiples LCM Introduction
  76.    wt: 1:   4 video Prime Factorization Introduction
  77.    wt: 1:   8 What skills and work habits to require
  78.    wt: 1:   1 Intro of Kids To Time Date Skills
  79.    wt: 1:   18 Chain Rule Introduction
  80.    wt: 1:   1 Numerical introduction
  81.    wt: 1:   A1. Introduction
  82.    wt: 1:   Chapter 1.Introduction
  83.    wt: 1:   Appendix E. How To Study Mathematics and Why
  84.    wt: 1:   Chapter 15. Solving Linear Equations
  85.    wt: 1:   Chapter 8 Three Skills For Algebra
  86.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  87.    wt: 1:   Postscript B Mathematics Education References
  88.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  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:   O On Learning Mathematics and Science
  95.    wt: 1:   N Mathematics Prepare for College Studies
  96.    wt: 1:   L Skills with take home value
  97.    wt: 1:   I. Logic and language skills
  98.    wt: 1:   How to Build Skills and Confidence
  99.    wt: 1:   Helping the Blind in Logic and Mathematics
  100.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  101.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  102.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  103.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  104.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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485 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:   F LAMP Introduction Prerequisites
  7.    wt: 8:   B LAMP Introduction Curriculum Development Standards
  8.    wt: 8:   Skills Chapter 0 Introduction
  9.    wt: 7:   K LAMP Musings Science Education
  10.    wt: 7:   A Introduction Objectives
  11.    wt: 7:   Skills Chapter 5 Calculus
  12.    wt: 7:   Skills Chapter 4 Logic
  13.    wt: 7:   Ramblings Introduction Algebra Essay
  14.    wt: 7:   Skills Chapter 3 Algebra
  15.    wt: 7:   Skills Chapter 2 Geometry
  16.    wt: 7:   Skills Chapter 1 Arithmetic
  17.    wt: 6:   Appendix 2 primary school Arithmetic 01
  18.    wt: 6:   Appendix 1 primary and preschool mathematic
  19.    wt: 6:   Ramblings Extrinsic numbers theory
  20.    wt: 4:   Applied Maths Program14092009 POMME variant
  21.    wt: 4:   Leaner mathematics curriculum
  22.    wt: 3:   11 pure mathematics
  23.    wt: 3:   3 Euclidean Geometry Leanly
  24.    wt: 3:   Math Ed if it must be short make it lean effective
  25.    wt: 3:   Mathematics Education Professors
  26.    wt: 3:   mathematics in context
  27.    wt: 3:   Secondary Three Mathematics
  28.    wt: 3:   Secondary Two Mathematics
  29.    wt: 3:   Secondary One Mathematics
  30.    wt: 3:   mathematics curriculum shifts
  31.    wt: 3:   three goals for Mathematics Education
  32.    wt: 3:   04 29 New Mathematics Curriculum
  33.    wt: 3:   02 20 mathematics education references
  34.    wt: 3:   three aims for mathematics students
  35.    wt: 3:   mathematics instruction in general
  36.    wt: 3:   Education in mathematics science and technology
  37.    wt: 3:   three kinds of reason in mathematics
  38.    wt: 3:   Motivation and Context Problem
  39.    wt: 3:   need for a mixed mathematics curriculum
  40.    wt: 3:   words for mathematics instructor
  41.    wt: 3:   Ages 12 to 14 Skills with take home value
  42.    wt: 3:   Objectives for Mathematics and Logic Language Skill Development
  43.    wt: 3:   4 video Prime Factorization Introduction
  44.    wt: 2:   10 statistics
  45.    wt: 2:   9 combinatorics probability sets
  46.    wt: 2:   8 analytic geometry etc
  47.    wt: 2:   7 logic review and decimals an odd combination
  48.    wt: 2:   6 polynomials etc
  49.    wt: 2:   5 logarithms and exponentials etc
  50.    wt: 2:   4 algebra
  51.    wt: 2:   2 arithmetic with signed numbers
  52.    wt: 2:   1 arithmetic with unsigned numbers
  53.    wt: 2:   What is POMME
  54.    wt: 2:   why bother
  55.    wt: 2:   which way to go
  56.    wt: 2:   website reviews
  57.    wt: 2:   three goals to set for students
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  59.    wt: 2:   permissions for teachers
  60.    wt: 2:   activities for students
  61.    wt: 2:   links Education Resources online
  62.    wt: 2:   site origins
  63.    wt: 2:   site eurekas
  64.    wt: 2:   About site lesson plans
  65.    wt: 2:   key notes and themes
  66.    wt: 2:   teacher certification
  67.    wt: 2:   modern education
  68.    wt: 2:   learning takes time
  69.    wt: 2:   grouping students according to ability
  70.    wt: 2:   what should be learnt and When
  71.    wt: 2:   Postscript 2007 01 10
  72.    wt: 2:   Education Reform Inconsistencies
  73.    wt: 2:   five decades make a difference
  74.    wt: 2:   Maps Plans Drawings
  75.    wt: 2:   how letters appear
  76.    wt: 2:   talk the algebra talk
  77.    wt: 2:   three difficulties
  78.    wt: 2:   teaching tips
  79.    wt: 2:   What to Tell Students
  80.    wt: 2:   geometric implications for algebra
  81.    wt: 2:   teaching tutoring algebraic reason
  82.    wt: 2:   Lessening Algebra Difficulties
  83.    wt: 2:   the trouble with algebra
  84.    wt: 2:   05 13 OldSiteEntrancePage
  85.    wt: 2:   04 25 when to stop or suspend mathemat
  86.    wt: 2:   02 21 words for teachers
  87.    wt: 2:   standards for course material
  88.    wt: 2:   Operational Viewpoint to Value
  89.    wt: 2:   formal or informal peer review
  90.    wt: 2:   Theory of Knowledge
  91.    wt: 2:   Different Kinds of Reasoning in maths
  92.    wt: 2:   cultivating intelligence
  93.    wt: 2:   Four ways to improve education reform
  94.    wt: 2:   How to be a better instructor
  95.    wt: 2:   Prequel In For A Penny In For A Pound
  96.    wt: 2:   education an empirical art
  97.    wt: 2:   fairness and inductive principles for instruction
  98.    wt: 2:   Ages 12 to 14 Geometry
  99.    wt: 2:   Ages 12 to 14 Arithmetic
  100.    wt: 2:   Ages 10 to 12 Geometry
  101.    wt: 2:   Ages 10 to 12 Arithmetic
  102.    wt: 2:   Ages 9 to 10
  103.    wt: 2:   Ages 8 to 9
  104.    wt: 2:   Ages 7 to 8
  105.    wt: 2:   Ages 6 to 7
  106.    wt: 2:   Ages 4 plus to 5 plus
  107.    wt: 2:   Ages 3 plus to 4 plus
  108.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  109.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  110.    wt: 2:   12 From Applied To Pure Mathematics
  111.    wt: 2:   8 Triangles Cascade Problem Solving
  112.    wt: 2:   4 Solving a triangular system exercise
  113.    wt: 2:   3 Solving triangular system example
  114.    wt: 2:   5 Algebraic Solutions Introduction
  115.    wt: 2:   1 Squares and Square Roots Introduction
  116.    wt: 2:   1 Least Common Multiples LCM Introduction
  117.    wt: 2:   20 Uniqueness of Prime Factorization
  118.    wt: 2:   19 video Prime Factorization Unique
  119.    wt: 2:   18 video Count Factors given Prime Factorization
  120.    wt: 2:   17 Identify and Count Factors using Primes
  121.    wt: 2:   16 video Factors of 980 using prime
  122.    wt: 2:   15 video Factors of 20 using Prime Factorization
  123.    wt: 2:   14 video Factors of 24 Take II
  124.    wt: 2:   13 video Factors of 24 using prime
  125.    wt: 2:   12 LCD GCD and LCM using Primes
  126.    wt: 2:   11 Efficient Square Rule Use
  127.    wt: 2:   10 video Prime Factorization upto 23 squared
  128.    wt: 2:   9 video Prime Factorization upto 19 squared
  129.    wt: 2:   8 video Prime Factorization upto 19
  130.    wt: 2:   7 Calculator Usage Notes and Cautions
  131.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  132.    wt: 2:   5 Prime Factorization and a Square Rule
  133.    wt: 2:   3 video Primes and Composites from 9 times table
  134.    wt: 2:   2 Prime and Composites less than 16
  135.    wt: 2:   1 video how Products are bigger than factor
  136.    wt: 2:   8 What skills and work habits to require
  137.    wt: 2:   1 Intro of Kids To Time Date Skills
  138.    wt: 2:   Appendix E. How To Study Mathematics and Why
  139.    wt: 2:   Chapter 15. Solving Linear Equations
  140.    wt: 2:   Chapter 8 Three Skills For Algebra
  141.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  142.    wt: 2:   Postscript B Mathematics Education References
  143.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  144.    wt: 2:   Chapter 2 For and Against Mathematics
  145.    wt: 2:   Chapter 1 Introduction
  146.    wt: 2:   R Why Learn Mathematics Skills
  147.    wt: 2:   H more Routine to non routine problem solving
  148.    wt: 2:   H Jigsaw puzzles and problem solving
  149.    wt: 2:   Helping the Blind in Logic and Mathematics
  150.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  151.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  152.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  153.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  154.    wt: 1:   chapitre 01 00 Introduction
  155.    wt: 1:   problemes responses
  156.    wt: 1:   problemes algebre et arithmetique
  157.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  158.    wt: 1:   22 Student Centered Highschool Mathematics
  159.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  160.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  161.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  162.    wt: 1:   18 Primary School Mathematics
  163.    wt: 1:   16 Secondary Mathematics Tips
  164.    wt: 1:   12 Goals and Objectives For Mathematics
  165.    wt: 1:   2 Reading and Writing Skills
  166.    wt: 1:   1 Speaking Skills
  167.    wt: 1:   4 Function notation in and beyond mathematics
  168.    wt: 1:   1 Geometric Introduction of Function Notation
  169.    wt: 1:   Introduction Reading Guide
  170.    wt: 1:   1 Degrees and Radians Introduction
  171.    wt: 1:   Straight Lines Instersection Solving Equations
  172.    wt: 1:   12 Triangles Similarity More Problems
  173.    wt: 1:   11 Triangle Similarity Missing Side Problem
  174.    wt: 1:   6 Intersection of lines by solving linear systems
  175.    wt: 1:   3 Multiplicative Counting Skills Principles
  176.    wt: 1:   2 Combing Counts Addition Skills and Principles
  177.    wt: 1:   More Exercises
  178.    wt: 1:   Simple Exercises
  179.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  180.    wt: 1:   4 GE III Animated Examples
  181.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  182.    wt: 1:   3 GE III Equation Addition and Multiplication
  183.    wt: 1:   2 GE II Comparison
  184.    wt: 1:   1 GE Substitution four examples
  185.    wt: 1:   2 Essentially one exercises three with solution
  186.    wt: 1:   1 Essentially One Unknown
  187.    wt: 1:   6 Algebraic Solution Example
  188.    wt: 1:   4 Four Examples Fractional Coefficients
  189.    wt: 1:   3 Four Examples
  190.    wt: 1:   2 Three Examples
  191.    wt: 1:   1 Proper Equal Sign Usage
  192.    wt: 1:   Skill Development Notes
  193.    wt: 1:   10 One Example
  194.    wt: 1:   9 Three Examples
  195.    wt: 1:   8 One Example
  196.    wt: 1:   7 Two Examples
  197.    wt: 1:   6 Three Examples
  198.    wt: 1:   5 Three Examples
  199.    wt: 1:   4 Two Examples
  200.    wt: 1:   3 Two Examples
  201.    wt: 1:   2 Three Examples
  202.    wt: 1:   Using Letters for Physical Quantities
  203.    wt: 1:   Formula Usage Show Work Format
  204.    wt: 1:   7 Compound Interest Formula Introduction
  205.    wt: 1:   1 Three Skills For Algebra
  206.    wt: 1:   arithmetic videos Real Player Format
  207.    wt: 1:   4 Greater More Less Than Signs in General
  208.    wt: 1:   3 Comparison of Negative Numbers
  209.    wt: 1:   2 More and Less Than with Unlike Signs
  210.    wt: 1:   1 More and Less Than for Counts and Measures
  211.    wt: 1:   5 Square Roots with primes more still
  212.    wt: 1:   4 Square Roots with primes more
  213.    wt: 1:   3 Properties of Square Roots with example
  214.    wt: 1:   2 Square Roots with Prime
  215.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  216.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  217.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  218.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  219.    wt: 1:   13 GCD from given Prime Factorization
  220.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  221.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  222.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  223.    wt: 1:   8 GCD from Euclidean Algorithm
  224.    wt: 1:   7 GCD and LCM from prime factorization
  225.    wt: 1:   6 GCD from Prime
  226.    wt: 1:   5 Common Divisors 60 45 via Prime
  227.    wt: 1:   4 LCM of 8 and 10 via Prime
  228.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  229.    wt: 1:   2 Least Common Multiple LCM intro via list method
  230.    wt: 1:   12 GCD 2700 288 via Prime
  231.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  232.    wt: 1:   4 Counting with Trees Product Rule Take I
  233.    wt: 1:   3 Counting with Tables and Trees II
  234.    wt: 1:   2 Counting with Tables and Trees I
  235.    wt: 1:   1 Counting and Counting Methods I
  236.    wt: 1:   11 What are real lengths and numbers
  237.    wt: 1:   10 dividing signed numbers
  238.    wt: 1:   9 subtracting signed numbers
  239.    wt: 1:   8 multiplying signed numbers
  240.    wt: 1:   7 negative and additive inverse
  241.    wt: 1:   6 adding signed numbers
  242.    wt: 1:   5 lengths and signs of numbers
  243.    wt: 1:   4 signed coordinates for regions in space
  244.    wt: 1:   3 signed coordinates for maps and planes
  245.    wt: 1:   2 signed and unsigned numbers as coordinates
  246.    wt: 1:   7 Converting or Changing Units
  247.    wt: 1:   6 Simplification of Fractions with Units
  248.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  249.    wt: 1:   4 Fractions with Units
  250.    wt: 1:   3 Multiplying Units and Numbers
  251.    wt: 1:   2 Equality and Units
  252.    wt: 1:   1 Addition and Subtraction with Units
  253.    wt: 1:   D Three Term Ratios
  254.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  255.    wt: 1:   B Fractions and Two Term Ratios
  256.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  257.    wt: 1:   22 Complex Compound Fractions
  258.    wt: 1:   21 Working With Signs
  259.    wt: 1:   21 Reciprocals for Fractions and Wholes
  260.    wt: 1:   20 Dividing Fractions the Why
  261.    wt: 1:   19 Dividing Fractions How TO
  262.    wt: 1:   18 Efficient Ways to Multiply
  263.    wt: 1:   17 Efficient Ways to Add and Subtract
  264.    wt: 1:   16 Addition Subtraction Comparision Compared
  265.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  266.    wt: 1:   14 Adding and Subtracting with Like Denominators
  267.    wt: 1:   13 Fraction Comparison Algebraic View
  268.    wt: 1:   12 Fraction Comparison
  269.    wt: 1:   11 Simplification an Algebraic View
  270.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  271.    wt: 1:   9 Improper Fractions and Mixed Numbers
  272.    wt: 1:   8 Numerals Fractionals Quantals Take II
  273.    wt: 1:   7 Numerals Fractionals Quantals
  274.    wt: 1:   6 Multiplication Algebraically Take II
  275.    wt: 1:   5 Equivalent Fractions
  276.    wt: 1:   4 Fraction Multiplication
  277.    wt: 1:   3 Unit fraction of a fraction
  278.    wt: 1:   2 Unit Fraction Multiplication
  279.    wt: 1:   1 What is a fraction Take II
  280.    wt: 1:   1 What is a fraction
  281.    wt: 1:   D Remainders Modulo 11 Pair Rule
  282.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  283.    wt: 1:   B Integer Long Division Multiple Choices
  284.    wt: 1:   A Associative Law Theorectical Note
  285.    wt: 1:   13 Subtraction with Additive Inverse
  286.    wt: 1:   12 Adding Integers More Examples
  287.    wt: 1:   11 Adding Integers Formulas and Examples
  288.    wt: 1:   10 Integer Multiplication Formulas
  289.    wt: 1:   9 Multiplying Integers
  290.    wt: 1:   8 Multiplication by Signed Numbers Integers
  291.    wt: 1:   7 Multiplication by Signs
  292.    wt: 1:   6 Multiplication by Natural Numbers
  293.    wt: 1:   5 Zero Movement and Additive Inverses
  294.    wt: 1:   4 Adding Movements wiht opposite directions
  295.    wt: 1:   3 Adding Movements with same direction
  296.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  297.    wt: 1:   1 Integers as Coordinates
  298.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  299.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  300.    wt: 1:   26 Divisibility by 2 3 5 Example
  301.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  302.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  303.    wt: 1:   23 Remainder Arithmetic Modulo 2
  304.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  305.    wt: 1:   21 Remainder Arithmetic Modulo 3
  306.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  307.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  308.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  309.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  310.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  311.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  312.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  313.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  314.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  315.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  316.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  317.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  318.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  319.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  320.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  321.    wt: 1:   5 Remainder Arithmetic Modulo 5
  322.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  323.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  324.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  325.    wt: 1:   1 Remainder Arithmetic Modulo 10
  326.    wt: 1:   Long Division Backwards more
  327.    wt: 1:   Long Division Backward
  328.    wt: 1:   Division with Counts and Length
  329.    wt: 1:   Long Division forwards and backwards Example 3
  330.    wt: 1:   Long Division forwards and backwards Example 2
  331.    wt: 1:   Long Division forwards and backwards Example 1
  332.    wt: 1:   12 Why Long Division Works Take III
  333.    wt: 1:   11 Another Single Digit Divisor Example
  334.    wt: 1:   10 Division by Five Long and Short Ways
  335.    wt: 1:   9 Why Long Division Works Take II
  336.    wt: 1:   8 Correcting the Mistake
  337.    wt: 1:   7 Long Divison Mistake Catching
  338.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  339.    wt: 1:   5 Long Division Include Zeroes or not
  340.    wt: 1:   4 Division with 2 Digit Divsors
  341.    wt: 1:   3 Division Single Digit Divisor Example
  342.    wt: 1:   2 Division with Single Digit Divisors
  343.    wt: 1:   1 Divsion Physical Examples
  344.    wt: 1:   D Decimal Multiplication Methods Derived
  345.    wt: 1:   C Counting Areas with Powers of Ten
  346.    wt: 1:   B Powers of Ten
  347.    wt: 1:   A Elementary Basis for Multiplication Methods
  348.    wt: 1:   6 Multiplication Commutes Order Not Important
  349.    wt: 1:   5 Decimal Fraction Multiplication
  350.    wt: 1:   4 Two and Three Digit Multipliers
  351.    wt: 1:   3 More One Digit Multipliers
  352.    wt: 1:   2 One Digit Multipliers
  353.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  354.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  355.    wt: 1:   Video Power Notation in Decimal Expansion
  356.    wt: 1:   1 Why 3 times 5 gives 15
  357.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  358.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  359.    wt: 1:   Subtraction with J Conversions Example
  360.    wt: 1:   Subtraction Another Video Lesson
  361.    wt: 1:   9 22 Minute Subtraction Review Video
  362.    wt: 1:   8 Subtraction with Units of Measure
  363.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  364.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  365.    wt: 1:   5 A Tip for Efficent Subtraction
  366.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  367.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  368.    wt: 1:   2 Subtraction Easy Case Examples
  369.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  370.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  371.    wt: 1:   7 Adding decimal fractions using decimal point
  372.    wt: 1:   6. Counting and adding units and mixed units
  373.    wt: 1:   5. How to add decimals C. Examples
  374.    wt: 1:   4. How to add with decimals B with conversions
  375.    wt: 1:   3. How to add with decimals A sans conversions
  376.    wt: 1:   2 Decimal Counting Practices
  377.    wt: 1:   1. Explaining Addition Table
  378.    wt: 1:   11 Place Value SI Standard International way
  379.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  380.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  381.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  382.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  383.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  384.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  385.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  386.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  387.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  388.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  389.    wt: 1:   Quick history of numbers and algebra
  390.    wt: 1:   Exact Arithmetic Wholes and Fractions
  391.    wt: 1:   Formula Evaluation how to show work
  392.    wt: 1:   Expression Evaluation how to show work
  393.    wt: 1:   The 20 Times Table
  394.    wt: 1:   The 12 Times Table Visually
  395.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  396.    wt: 1:   About folder contents
  397.    wt: 1:   016 Numbering Occidental Calendar Days
  398.    wt: 1:   015 School and work day counting tables
  399.    wt: 1:   014 Counting Days with Calendars
  400.    wt: 1:   013 Travel Time Tables
  401.    wt: 1:   012 Division of Time Intervals by Time Intervals
  402.    wt: 1:   011 Division of Time Intervals By Numbers
  403.    wt: 1:   010 Repeated Addition of Time Intervals
  404.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  405.    wt: 1:   8 Addition of Time Intervals via subtotaling
  406.    wt: 1:   7 Addition of Time Intervals
  407.    wt: 1:   6 How long is a million seconds
  408.    wt: 1:   5 Conversion Arithmetic
  409.    wt: 1:   4 Mixing and Changing Units of Time
  410.    wt: 1:   3 Units and Lengths of Time
  411.    wt: 1:   2 Time and Date Matters in School
  412.    wt: 1:   18 Chain Rule Introduction
  413.    wt: 1:   1 Numerical introduction
  414.    wt: 1:   A1. Introduction
  415.    wt: 1:   Chapter 1.Introduction
  416.    wt: 1:   Postscript More on Better Performance
  417.    wt: 1:   Postscript For Better Performance
  418.    wt: 1:   Appendix D. What to do in School and Why
  419.    wt: 1:   Appendix C. How to Read
  420.    wt: 1:   Appendix B. How To Learn
  421.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  422.    wt: 1:   Chapter 31 Direct and Indirect Reason
  423.    wt: 1:   Chapter 30 Truth Tables
  424.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  425.    wt: 1:   Chapter 28 Occurrence Tables
  426.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  427.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  428.    wt: 1:   Chapter 25. Mathematical Induction Examples
  429.    wt: 1:   Chapter 25. Mathematical Induction Examples
  430.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  431.    wt: 1:   Chapter 23. Notation For Sums
  432.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  433.    wt: 1:   Chapter 21. Third Reading Guide
  434.    wt: 1:   Chapter 20. Degrees and Radians
  435.    wt: 1:   Chapter 19. Functions and Sets
  436.    wt: 1:   Chapter 18. Rules for Algebra
  437.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  438.    wt: 1:   Chapter 16. Painless Theorem Proving
  439.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  440.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  441.    wt: 1:   Chapter 13. Second Reading Guide
  442.    wt: 1:   Chapter 12. Shorthand Usage Guide
  443.    wt: 1:   Chapter 11. Why Shorthand
  444.    wt: 1:   Chapter 10 Describing and Changing Calculations
  445.    wt: 1:   Postscript What is a Variable
  446.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  447.    wt: 1:   Solutions For Arithmetic Exercises
  448.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  449.    wt: 1:   Chapter 6 Change of Language
  450.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  451.    wt: 1:   Chapter 4 Longer Chains of Reason
  452.    wt: 1:   Chapter 3 Chains of Reason
  453.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  454.    wt: 1:   Foreword
  455.    wt: 1:   Annotated Links to Material Elsehwere
  456.    wt: 1:   Postscript A Three Remarks
  457.    wt: 1:   Chapter 12 Four Phases
  458.    wt: 1:   Chapter 11 Elementary Instruction
  459.    wt: 1:   Chapter 10 Transition
  460.    wt: 1:   Chapter 9 The Two Ends
  461.    wt: 1:   Chapter 8 Modern Instruction
  462.    wt: 1:   Chapter 7 Two Treatments of Geometry
  463.    wt: 1:   Chapter 5 Four References
  464.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  465.    wt: 1:   Chapter 3 Algebra Difficulties
  466.    wt: 1:   Foreword
  467.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  468.    wt: 1:   Chapter 1 Introduction
  469.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  470.    wt: 1:   O On Learning Mathematics and Science
  471.    wt: 1:   N Mathematics Prepare for College Studies
  472.    wt: 1:   L Skills with take home value
  473.    wt: 1:   I. Logic and language skills
  474.    wt: 1:   How to Build Skills and Confidence
  475.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  476.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  477.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  478.    wt: 1:   Implementation Notes
  479.    wt: 1:   More Algebra and Slope based Calculus Preview
  480.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  481.    wt: 1:   Systematic Algebra Skill Development Missing Links
  482.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  483.    wt: 1:   Which Way To Go
  484.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  485.    wt: 11:   G LAMP Introduction Problem Solving Skills

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