Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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  1.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  2.    wt: 2:   Parent Center/
  3.    wt: 2:   4 Functions/
  4.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  5.    wt: 2:   4 Lines and Slopes Take 1/
  6.    wt: 2:   Step 4 Gaussian Elimination/
  7.    wt: 2:   D Decimal Long Division Methods/
  8.    wt: 2:   5 Lessons on Integration/
  9.    wt: 2:   4 Lessons on Using Derivatives/
  10.    wt: 2:   Volume 2 Three Skills For Algebra/
  11.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  12.    wt: 2:   Secondary Mathematics A Practical Approach/
  13.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  14.    wt: 1:   LAMP Lean Applied Mathematics Program/
  15.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  16.    wt: 1:   Mathematics Education Essays/
  17.    wt: 1:   Mathematics Skills Year by Year/
  18.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  19.    wt: 1:   4 Computation Rules and Function Notation/
  20.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  21.    wt: 1:   11 Squares and Square Roots/
  22.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  23.    wt: 1:   9 Combinatorics Trees Tables and Products/
  24.    wt: 1:   8 Arithmetic with Signed Numbers/
  25.    wt: 1:   7 Arithmetic and Fractions with Units/
  26.    wt: 1:   6 Fractions and Ratios/
  27.    wt: 1:   5 Integers/
  28.    wt: 1:   3 Prime Factorization Skills/
  29.    wt: 1:   C Decimal Multiplication Methods/
  30.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  31.    wt: 1:   A Decimal Counting and Adding Methods/
  32.    wt: 1:   2 Arithmetic with Decimals/
  33.    wt: 1:   1 Decimal Place Value/
  34.    wt: 1:   Arithmetic and Number Theory Skills/
  35.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  36.    wt: 1:   38 Lessons on Calculating Derivatives/
  37.    wt: 1:   13 Lessons on Limits and Continuity/
  38.    wt: 1:   70 Calculus Starter Lessons/
  39.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  40.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  41.    wt: 1:   Volume 1A Pattern Based Reason/
  42.    wt: 1:   Volume 1 Elements of Reason/
  43.    wt: 1:   Mathematics 506 Lessons/
  44.    wt: 1:   Mathematics Skill Development Framework/

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172 matches:

  1.    wt: 2:   04 29 New Mathematics Curriculum
  2.    wt: 2:   chapitre 04 04 Parlons de la logique
  3.    wt: 2:   22 Student Centered Highschool Mathematics
  4.    wt: 2:   4 Function notation in and beyond mathematics
  5.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  6.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  7.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  8.    wt: 2:   14 video Factors of 24 Take II
  9.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  10.    wt: 1:   E LAMP Introduction Modern Mathematics
  11.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  12.    wt: 1:   Skills Chapter 4 Logic
  13.    wt: 1:   11 pure mathematics
  14.    wt: 1:   4 algebra
  15.    wt: 1:   Applied Maths Program14092009 POMME variant
  16.    wt: 1:   Mathematics Education Professors
  17.    wt: 1:   mathematics in context
  18.    wt: 1:   Secondary Three Mathematics
  19.    wt: 1:   Secondary Two Mathematics
  20.    wt: 1:   Secondary One Mathematics
  21.    wt: 1:   mathematics curriculum shifts
  22.    wt: 1:   three goals for Mathematics Education
  23.    wt: 1:   04 25 when to stop or suspend mathemat
  24.    wt: 1:   02 20 mathematics education references
  25.    wt: 1:   three aims for mathematics students
  26.    wt: 1:   mathematics instruction in general
  27.    wt: 1:   Education in mathematics science and technology
  28.    wt: 1:   three kinds of reason in mathematics
  29.    wt: 1:   need for a mixed mathematics curriculum
  30.    wt: 1:   Leaner mathematics curriculum
  31.    wt: 1:   words for mathematics instructor
  32.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  33.    wt: 1:   chapitre 04 09 Regles accidentelles
  34.    wt: 1:   chapitre 04 08 Limitations et benefices
  35.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  36.    wt: 1:   chapitre 04 06 engagements
  37.    wt: 1:   chapitre 04 05 Implication versus suggestion
  38.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  39.    wt: 1:   chapitre 04 02 Deuxieme enigme
  40.    wt: 1:   chapitre 04 01 Premiere enigme
  41.    wt: 1:   chapitre 04 00 Les regles d implication
  42.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  43.    wt: 1:   4 Energy Power Heat09
  44.    wt: 1:   D Energy Power04
  45.    wt: 1:   F Wire Resistance Calculation04
  46.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  47.    wt: 1:   24 Standards For Skill Develoment Take II
  48.    wt: 1:   24 Standards For Skill Develoment
  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:   17 Math Booklets for children and young teenagers
  54.    wt: 1:   16 Secondary Mathematics Tips
  55.    wt: 1:   14 Multiplication and Times Tables
  56.    wt: 1:   12 Goals and Objectives For Mathematics
  57.    wt: 1:   4 Learning Takes Time and Effort
  58.    wt: 1:   Ages 12 to 14 Skills with take home value
  59.    wt: 1:   Ages 12 to 14 Geometry
  60.    wt: 1:   Ages 12 to 14 Arithmetic
  61.    wt: 1:   Ages 4 plus to 5 plus
  62.    wt: 1:   Ages 3 plus to 4 plus
  63.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  64.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  65.    wt: 1:   sign monoticity analysis example 4
  66.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  67.    wt: 1:   14 Surjections Injections Bijections
  68.    wt: 1:   4 quadratics difference of two squares
  69.    wt: 1:   4 Polynomials Long division linear divisor
  70.    wt: 1:   14 secant function Definition Graph and Inverse
  71.    wt: 1:   4 possible motivation for term arccos
  72.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  73.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  74.    wt: 1:   12 From Applied To Pure Mathematics
  75.    wt: 1:   4 Resultant of a Sum of Movements
  76.    wt: 1:   4 graphing y=Asin(x c)
  77.    wt: 1:   14 Straight Lines Equations General Case
  78.    wt: 1:   4 Tangent Function Properties
  79.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  80.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  81.    wt: 1:   24 tangent Angle Difference Formula
  82.    wt: 1:   14 cosine even and sine and tangent are odd
  83.    wt: 1:   14 Law of cosines
  84.    wt: 1:   4 Multiplication Properties
  85.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  86.    wt: 1:   4 Similarity Definition with Coordinate
  87.    wt: 1:   4 Equations for lines three forms
  88.    wt: 1:   4 Polar Coordinates to and from
  89.    wt: 1:   14 Parallel Lines Postulate
  90.    wt: 1:   4 Side Side Side
  91.    wt: 1:   4 Angles on Maps Plans drawn to scale
  92.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  93.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  94.    wt: 1:   4 Location of Point in Decimal Addition
  95.    wt: 1:   4 Commutative Law Groups Counting Form
  96.    wt: 1:   4 Fraction Operations Axiomatic Development
  97.    wt: 1:   4 Rates Ratios and Proporitionality
  98.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  99.    wt: 1:   4 Subtraction and Division Axioms
  100.    wt: 1:   4 Comparison of Negative Numbers
  101.    wt: 1:   14 Real Number Multiplication
  102.    wt: 1:   4 Rational Numbers
  103.    wt: 1:   4 Changing Letters
  104.    wt: 1:   4 GE III Animated Examples
  105.    wt: 1:   4 Solving a triangular system exercise
  106.    wt: 1:   4 Four Examples Fractional Coefficients
  107.    wt: 1:   4 Two Examples
  108.    wt: 1:   4 Circle Area Formula Example
  109.    wt: 1:   4 Subset Builder Notation
  110.    wt: 1:   4 A Brief Story of numbers and algebra
  111.    wt: 1:   4 Greater More Less Than Signs in General
  112.    wt: 1:   4 Square Roots with primes more
  113.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  114.    wt: 1:   5 Common Divisors 60 45 via Prime
  115.    wt: 1:   4 LCM of 8 and 10 via Prime
  116.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  117.    wt: 1:   4 Counting with Trees Product Rule Take I
  118.    wt: 1:   4 signed coordinates for regions in space
  119.    wt: 1:   4 Fractions with Units
  120.    wt: 1:   14 Adding and Subtracting with Like Denominators
  121.    wt: 1:   4 Fraction Multiplication
  122.    wt: 1:   4 Adding Movements wiht opposite directions
  123.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  124.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  125.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  126.    wt: 1:   13 video Factors of 24 using prime
  127.    wt: 1:   4 video Prime Factorization Introduction
  128.    wt: 1:   4 Division with 2 Digit Divsors
  129.    wt: 1:   4 Two and Three Digit Multipliers
  130.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  131.    wt: 1:   4. How to add with decimals B with conversions
  132.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  133.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  134.    wt: 1:   014 Counting Days with Calendars
  135.    wt: 1:   4 Mixing and Changing Units of Time
  136.    wt: 1:   Example 4 with x function of y
  137.    wt: 1:   4 Definite Integrals Evaluation Exercises
  138.    wt: 1:   4 Second derivative test exercise example
  139.    wt: 1:   34 Derivative of exponential function
  140.    wt: 1:   24 Chain Rule Animated Examples
  141.    wt: 1:   14 sine and cosine derivatives 2nd step
  142.    wt: 1:   4 Sum Rule
  143.    wt: 1:   4 Numerical properties
  144.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  145.    wt: 1:   F.4 Finite Covering Theorem
  146.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  147.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  148.    wt: 1:   Chapter 4. More Slope Sign Analysis
  149.    wt: 1:   Appendix E. How To Study Mathematics and Why
  150.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  151.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  152.    wt: 1:   Chapter 4 Longer Chains of Reason
  153.    wt: 1:   Postscript B Mathematics Education References
  154.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  155.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  156.    wt: 1:   Chapter 2 For and Against Mathematics
  157.    wt: 1:   Chapter 24 Direct and Indirect Reason
  158.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  159.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  160.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  161.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  162.    wt: 1:   R Why Learn Mathematics Skills
  163.    wt: 1:   O On Learning Mathematics and Science
  164.    wt: 1:   N Mathematics Prepare for College Studies
  165.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  166.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  167.    wt: 1:   Helping the Blind in Logic and Mathematics
  168.    wt: 1:   Mathematics Education References
  169.    wt: 1:   Mathematics Education References
  170.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  171.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  172.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

748 matches:

  1.    wt: 5:   4 Function notation in and beyond mathematics
  2.    wt: 5:   24 Divisibility Tests for 2 3 5 9 10
  3.    wt: 5:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  4.    wt: 4:   24 Standards For Skill Develoment Take II
  5.    wt: 4:   24 Standards For Skill Develoment
  6.    wt: 4:   22 Student Centered Highschool Mathematics
  7.    wt: 4:   14 Multiplication and Times Tables
  8.    wt: 4:   4 Learning Takes Time and Effort
  9.    wt: 4:   24 Monotoncity Injectivity and Inverse Functions
  10.    wt: 4:   14 Surjections Injections Bijections
  11.    wt: 4:   4 Circle Sector Area proportional to Central Angle
  12.    wt: 4:   4 Equations for lines three forms
  13.    wt: 4:   4 GE III Animated Examples
  14.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  15.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  16.    wt: 4:   23 Remainder Arithmetic Modulo 2
  17.    wt: 4:   22 Remainder Arithmetic Modulo 3 more
  18.    wt: 4:   21 Remainder Arithmetic Modulo 3
  19.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  20.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  21.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  22.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  23.    wt: 4:   14 Remainder Arithmetic Modulo 9 Example
  24.    wt: 4:   10 Remainder Arithmetic Long Division by 5 Quickly
  25.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  26.    wt: 4:   14 video Factors of 24 Take II
  27.    wt: 4:   4 Division with 2 Digit Divsors
  28.    wt: 4:   Appendix E. How To Study Mathematics and Why
  29.    wt: 4:   Appendix D. What to do in School and Why
  30.    wt: 4:   Chapter 24. Personal Investment and Pension EGS
  31.    wt: 4:   Chapter 14. Forward and Backward Use of a Formula
  32.    wt: 4:   Chapter 4 Longer Chains of Reason
  33.    wt: 4:   Postscript B Mathematics Education References
  34.    wt: 4:   Chapter 4 Complex Numbers and Why Slopes
  35.    wt: 4:   Chapter 14 Deductive and Empirical Views of Mathematics
  36.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  37.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  38.    wt: 3:   E LAMP Introduction Modern Mathematics
  39.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  40.    wt: 3:   Skills Chapter 4 Logic
  41.    wt: 3:   4 algebra
  42.    wt: 3:   Mathematics Education Professors
  43.    wt: 3:   04 29 New Mathematics Curriculum
  44.    wt: 3:   Education in mathematics science and technology
  45.    wt: 3:   Leaner mathematics curriculum
  46.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  47.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  48.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  49.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  50.    wt: 3:   18 Primary School Mathematics
  51.    wt: 3:   17 Math Booklets for children and young teenagers
  52.    wt: 3:   16 Secondary Mathematics Tips
  53.    wt: 3:   12 Goals and Objectives For Mathematics
  54.    wt: 3:   Ages 4 plus to 5 plus
  55.    wt: 3:   sign monoticity analysis example 4
  56.    wt: 3:   Four Simple Exercises
  57.    wt: 3:   4 Greater More Less Than Signs in General
  58.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  59.    wt: 3:   4 signed coordinates for regions in space
  60.    wt: 3:   4 Fraction Multiplication
  61.    wt: 3:   4 Adding Movements wiht opposite directions
  62.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  63.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  64.    wt: 3:   26 Divisibility by 2 3 5 Example
  65.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  66.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  67.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  68.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  69.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  70.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  71.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  72.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  73.    wt: 3:   5 Remainder Arithmetic Modulo 5
  74.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  75.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  76.    wt: 3:   1 Remainder Arithmetic Modulo 10
  77.    wt: 3:   4 video Prime Factorization Introduction
  78.    wt: 3:   Long Division Backwards more
  79.    wt: 3:   4 Two and Three Digit Multipliers
  80.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  81.    wt: 3:   4. How to add with decimals B with conversions
  82.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  83.    wt: 3:   Example 4 with x function of y
  84.    wt: 3:   4 Definite Integrals Evaluation Exercises
  85.    wt: 3:   2 Indefinite Integrals Exercises
  86.    wt: 3:   4 Second derivative test exercise example
  87.    wt: 3:   3 Second derivative test
  88.    wt: 3:   34 Derivative of exponential function
  89.    wt: 3:   24 Chain Rule Animated Examples
  90.    wt: 3:   14 sine and cosine derivatives 2nd step
  91.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  92.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  93.    wt: 3:   Chapter 4. More Slope Sign Analysis
  94.    wt: 3:   Appendix C. How to Read
  95.    wt: 3:   Appendix B. How To Learn
  96.    wt: 3:   Appendix A. Reading Guide For Next Appendices
  97.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  98.    wt: 3:   Chapter 2 For and Against Mathematics
  99.    wt: 3:   Chapter 24 Direct and Indirect Reason
  100.    wt: 3:   Chapter 4 Implication Rules Forwards and Backwards
  101.    wt: 3:   Mathematics Education References
  102.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  103.    wt: 2:   K LAMP Musings Science Education
  104.    wt: 2:   J LAMP Introduction Extrinsic Origins
  105.    wt: 2:   I LAMP Introduction Study Habits
  106.    wt: 2:   H LAMP Introduction Instructional Concepts
  107.    wt: 2:   G LAMP Introduction Problem Solving Skills
  108.    wt: 2:   F LAMP Introduction Prerequisites
  109.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  110.    wt: 2:   A Introduction Objectives
  111.    wt: 2:   11 pure mathematics
  112.    wt: 2:   Teach the teachers plus goals
  113.    wt: 2:   Applied Maths Program14092009 POMME variant
  114.    wt: 2:   site eurekas
  115.    wt: 2:   teacher certification
  116.    wt: 2:   modern education
  117.    wt: 2:   mathematics in context
  118.    wt: 2:   how letters appear
  119.    wt: 2:   Secondary Three Mathematics
  120.    wt: 2:   Secondary Two Mathematics
  121.    wt: 2:   Secondary One Mathematics
  122.    wt: 2:   mathematics curriculum shifts
  123.    wt: 2:   geometric implications for algebra
  124.    wt: 2:   three goals for Mathematics Education
  125.    wt: 2:   04 25 when to stop or suspend mathemat
  126.    wt: 2:   02 20 mathematics education references
  127.    wt: 2:   three aims for mathematics students
  128.    wt: 2:   mathematics instruction in general
  129.    wt: 2:   three kinds of reason in mathematics
  130.    wt: 2:   need for a mixed mathematics curriculum
  131.    wt: 2:   words for mathematics instructor
  132.    wt: 2:   chapitre 04 04 Parlons de la logique
  133.    wt: 2:   D Energy Power04
  134.    wt: 2:   Home Tutoring and Home Schooling
  135.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  136.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  137.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  138.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  139.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  140.    wt: 2:   15 Counting For Parents
  141.    wt: 2:   13 Addition and Addition Tables
  142.    wt: 2:   11 Help and Defend Your Child or Teens Education
  143.    wt: 2:   10 Ends values for work study instruction
  144.    wt: 2:   9 Streaming by Student Cooperation
  145.    wt: 2:   8 The Effect of Negative Remarks
  146.    wt: 2:   7 Student Motivation
  147.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  148.    wt: 2:   5 Patience Please for Yourself and Your Charges
  149.    wt: 2:   3 Preparing for Science Studies
  150.    wt: 2:   2 Reading and Writing Skills
  151.    wt: 2:   1 Speaking Skills
  152.    wt: 2:   Ages 12 to 14 Skills with take home value
  153.    wt: 2:   Ages 12 to 14 Geometry
  154.    wt: 2:   Ages 12 to 14 Arithmetic
  155.    wt: 2:   Ages 3 plus to 4 plus
  156.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  157.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  158.    wt: 2:   26 Function definitions done and coming
  159.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  160.    wt: 2:   23 Inverse Functions
  161.    wt: 2:   22 Square Root function graphically
  162.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  163.    wt: 2:   20 Interchanging coordinates a reflection
  164.    wt: 2:   19 Horizontal line rule and method
  165.    wt: 2:   18 Vertical Line Rule and Method
  166.    wt: 2:   17 Function maxima minima and their location
  167.    wt: 2:   16 Increasing or decreasing on intervals
  168.    wt: 2:   15 Sign analysis of functions
  169.    wt: 2:   13 From one to one to many to one
  170.    wt: 2:   12 Function Domain Recognition Exercises
  171.    wt: 2:   11 Function Domain Range Source and Targets
  172.    wt: 2:   10 Interval Notation
  173.    wt: 2:   9 Set theory term relation possible origins
  174.    wt: 2:   8 Set view of relations and functions
  175.    wt: 2:   7 Functions with finite domains
  176.    wt: 2:   6 Set Existence Formation and Notation
  177.    wt: 2:   5 Function notation for geometric transformations
  178.    wt: 2:   3 Formula or function graphing exercise
  179.    wt: 2:   2 Algebraic use of function notation
  180.    wt: 2:   1 Geometric Introduction of Function Notation
  181.    wt: 2:   Introduction Reading Guide
  182.    wt: 2:   9 Summary Degrees to Radians and back
  183.    wt: 2:   8 Radian Measures of Common Angles
  184.    wt: 2:   7 Radian Measures in special Triangles
  185.    wt: 2:   6 Radian Measure to Degrees
  186.    wt: 2:   5 Degrees to Radian Measure
  187.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  188.    wt: 2:   2 Radian Measure Numerical Value of one degree
  189.    wt: 2:   1 Degrees and Radians Introduction
  190.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  191.    wt: 2:   4 Resultant of a Sum of Movements
  192.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  193.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  194.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  195.    wt: 2:   14 Law of cosines
  196.    wt: 2:   4 Multiplication Properties
  197.    wt: 2:   4 Similarity Definition with Coordinate
  198.    wt: 2:   12 Links Lessons elsewhere
  199.    wt: 2:   11 A Partial Summary
  200.    wt: 2:   10 Midpoint of [a b] and [b a]
  201.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  202.    wt: 2:   8 Mid Point Formula
  203.    wt: 2:   7 Exercises to test skill and concept mastery
  204.    wt: 2:   6 Intersection of lines by solving linear systems
  205.    wt: 2:   5 Algebraic View of Slopes
  206.    wt: 2:   3 Slope product for perpendicular lines
  207.    wt: 2:   2 point slope equation for a line
  208.    wt: 2:   1 Numerical view of lines and their equations
  209.    wt: 2:   What is and is not here
  210.    wt: 2:   4 Polar Coordinates to and from
  211.    wt: 2:   14 Parallel Lines Postulate
  212.    wt: 2:   4 Side Side Side
  213.    wt: 2:   4 Commutative Law Groups Counting Form
  214.    wt: 2:   4 Rates Ratios and Proporitionality
  215.    wt: 2:   4 Changing Letters
  216.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  217.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  218.    wt: 2:   3 GE III Equation Addition and Multiplication
  219.    wt: 2:   2 GE II Comparison
  220.    wt: 2:   1 GE Substitution four examples
  221.    wt: 2:   4 Solving a triangular system exercise
  222.    wt: 2:   4 Four Examples Fractional Coefficients
  223.    wt: 2:   4 Two Examples
  224.    wt: 2:   4 Square Roots with primes more
  225.    wt: 2:   1 Squares and Square Roots Introduction
  226.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  227.    wt: 2:   5 Common Divisors 60 45 via Prime
  228.    wt: 2:   4 LCM of 8 and 10 via Prime
  229.    wt: 2:   4 Counting with Trees Product Rule Take I
  230.    wt: 2:   4 Fractions with Units
  231.    wt: 2:   14 Adding and Subtracting with Like Denominators
  232.    wt: 2:   B Integer Long Division Multiple Choices
  233.    wt: 2:   13 video Factors of 24 using prime
  234.    wt: 2:   Long Division Backward
  235.    wt: 2:   Division with Counts and Length
  236.    wt: 2:   Long Division forwards and backwards Example 3
  237.    wt: 2:   Long Division forwards and backwards Example 2
  238.    wt: 2:   Long Division forwards and backwards Example 1
  239.    wt: 2:   12 Why Long Division Works Take III
  240.    wt: 2:   11 Another Single Digit Divisor Example
  241.    wt: 2:   10 Division by Five Long and Short Ways
  242.    wt: 2:   9 Why Long Division Works Take II
  243.    wt: 2:   8 Correcting the Mistake
  244.    wt: 2:   7 Long Divison Mistake Catching
  245.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  246.    wt: 2:   5 Long Division Include Zeroes or not
  247.    wt: 2:   3 Division Single Digit Divisor Example
  248.    wt: 2:   2 Division with Single Digit Divisors
  249.    wt: 2:   1 Divsion Physical Examples
  250.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  251.    wt: 2:   Subtraction with J Conversions Example
  252.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  253.    wt: 2:   Formula Evaluation how to show work
  254.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  255.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  256.    wt: 2:   A Related Material in Volume 3
  257.    wt: 2:   5 Area Under Curve Exercise
  258.    wt: 2:   3 Two Chain Rule Method Exercises
  259.    wt: 2:   1 Chain Rule in Reverse Integration Method
  260.    wt: 2:   A Related lessons in Volume 3
  261.    wt: 2:   2 Second derivative test prequel
  262.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  263.    wt: 2:   33 Chain Rule Real Player video examples
  264.    wt: 2:   25 Chain Rule Animated Examples Continued
  265.    wt: 2:   23 Chain Rule in general
  266.    wt: 2:   17 Derivatives of quotients of sine and cosine
  267.    wt: 2:   13 sine and cosine derivatives 1st step
  268.    wt: 2:   6 Power rule from product rule
  269.    wt: 2:   4 Sum Rule
  270.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  271.    wt: 2:   4 Numerical properties
  272.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  273.    wt: 2:   F.5b Extreme Value Theorem
  274.    wt: 2:   F.4 Finite Covering Theorem
  275.    wt: 2:   C Triangle Inequalities
  276.    wt: 2:   Postscript More on Better Performance
  277.    wt: 2:   Postscript For Better Performance
  278.    wt: 2:   Chapter 31 Direct and Indirect Reason
  279.    wt: 2:   Chapter 30 Truth Tables
  280.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  281.    wt: 2:   Chapter 28 Occurrence Tables
  282.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  283.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  284.    wt: 2:   Chapter 25. Mathematical Induction Examples
  285.    wt: 2:   Chapter 23. Notation For Sums
  286.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  287.    wt: 2:   Chapter 21. Third Reading Guide
  288.    wt: 2:   Chapter 20. Degrees and Radians
  289.    wt: 2:   Chapter 19. Functions and Sets
  290.    wt: 2:   Chapter 18. Rules for Algebra
  291.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  292.    wt: 2:   Chapter 16. Painless Theorem Proving
  293.    wt: 2:   Chapter 15. Solving Linear Equations
  294.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  295.    wt: 2:   Chapter 13. Second Reading Guide
  296.    wt: 2:   Chapter 12. Shorthand Usage Guide
  297.    wt: 2:   Chapter 11. Why Shorthand
  298.    wt: 2:   Chapter 10 Describing and Changing Calculations
  299.    wt: 2:   Postscript What is a Variable
  300.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  301.    wt: 2:   Chapter 8 Three Skills For Algebra
  302.    wt: 2:   Solutions For Arithmetic Exercises
  303.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  304.    wt: 2:   Chapter 6 Change of Language
  305.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  306.    wt: 2:   Chapter 3 Chains of Reason
  307.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  308.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  309.    wt: 2:   Foreword
  310.    wt: 2:   Annotated Links to Material Elsehwere
  311.    wt: 2:   Postscript A Three Remarks
  312.    wt: 2:   Chapter 12 Four Phases
  313.    wt: 2:   Chapter 11 Elementary Instruction
  314.    wt: 2:   Chapter 10 Transition
  315.    wt: 2:   Chapter 9 The Two Ends
  316.    wt: 2:   Chapter 8 Modern Instruction
  317.    wt: 2:   Chapter 7 Two Treatments of Geometry
  318.    wt: 2:   Chapter 5 Four References
  319.    wt: 2:   Chapter 3 Algebra Difficulties
  320.    wt: 2:   Chapter 1 Introduction
  321.    wt: 2:   Foreword
  322.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  323.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  324.    wt: 2:   N Mathematics Prepare for College Studies
  325.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  326.    wt: 2:   Chapter 8 Skipped Topics and Why
  327.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  328.    wt: 2:   Chapter 6 More Algebra and Geometry
  329.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  330.    wt: 2:   Chapter 3 Algebra Starter Lessons
  331.    wt: 2:   Chapter 2 Why Sets
  332.    wt: 2:   Chapter 1 Arithmetic
  333.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  334.    wt: 2:   7 Games and Activities for Instruction
  335.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  336.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  337.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  338.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  339.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  340.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  341.    wt: 2:   Helping the Blind in Logic and Mathematics
  342.    wt: 2:   Mathematics Education References
  343.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  344.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  345.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  346.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  347.    wt: 1:   Appendix 2 primary school Arithmetic 01
  348.    wt: 1:   Appendix 1 primary and preschool mathematic
  349.    wt: 1:   Skills Chapter 5 Calculus
  350.    wt: 1:   Ramblings Extrinsic numbers theory
  351.    wt: 1:   Ramblings Introduction Algebra Essay
  352.    wt: 1:   Skills Chapter 3 Algebra
  353.    wt: 1:   Skills Chapter 2 Geometry
  354.    wt: 1:   Skills Chapter 1 Arithmetic
  355.    wt: 1:   Skills Chapter 0 Introduction
  356.    wt: 1:   10 statistics
  357.    wt: 1:   9 combinatorics probability sets
  358.    wt: 1:   8 analytic geometry etc
  359.    wt: 1:   7 logic review and decimals an odd combination
  360.    wt: 1:   6 polynomials etc
  361.    wt: 1:   5 logarithms and exponentials etc
  362.    wt: 1:   3 Euclidean Geometry Leanly
  363.    wt: 1:   2 arithmetic with signed numbers
  364.    wt: 1:   1 arithmetic with unsigned numbers
  365.    wt: 1:   What is POMME
  366.    wt: 1:   why bother
  367.    wt: 1:   which way to go
  368.    wt: 1:   website reviews
  369.    wt: 1:   three goals to set for students
  370.    wt: 1:   permissions for teachers
  371.    wt: 1:   Math Ed if it must be short make it lean effective
  372.    wt: 1:   activities for students
  373.    wt: 1:   links Education Resources online
  374.    wt: 1:   site origins
  375.    wt: 1:   About site lesson plans
  376.    wt: 1:   key notes and themes
  377.    wt: 1:   learning takes time
  378.    wt: 1:   grouping students according to ability
  379.    wt: 1:   what should be learnt and When
  380.    wt: 1:   Postscript 2007 01 10
  381.    wt: 1:   Education Reform Inconsistencies
  382.    wt: 1:   five decades make a difference
  383.    wt: 1:   Maps Plans Drawings
  384.    wt: 1:   talk the algebra talk
  385.    wt: 1:   three difficulties
  386.    wt: 1:   teaching tips
  387.    wt: 1:   What to Tell Students
  388.    wt: 1:   teaching tutoring algebraic reason
  389.    wt: 1:   Lessening Algebra Difficulties
  390.    wt: 1:   the trouble with algebra
  391.    wt: 1:   05 13 OldSiteEntrancePage
  392.    wt: 1:   02 21 words for teachers
  393.    wt: 1:   standards for course material
  394.    wt: 1:   Operational Viewpoint to Value
  395.    wt: 1:   formal or informal peer review
  396.    wt: 1:   Theory of Knowledge
  397.    wt: 1:   Different Kinds of Reasoning in maths
  398.    wt: 1:   cultivating intelligence
  399.    wt: 1:   Four ways to improve education reform
  400.    wt: 1:   How to be a better instructor
  401.    wt: 1:   Motivation and Context Problem
  402.    wt: 1:   Prequel In For A Penny In For A Pound
  403.    wt: 1:   education an empirical art
  404.    wt: 1:   fairness and inductive principles for instruction
  405.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  406.    wt: 1:   chapitre 04 09 Regles accidentelles
  407.    wt: 1:   chapitre 04 08 Limitations et benefices
  408.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  409.    wt: 1:   chapitre 04 06 engagements
  410.    wt: 1:   chapitre 04 05 Implication versus suggestion
  411.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  412.    wt: 1:   chapitre 04 02 Deuxieme enigme
  413.    wt: 1:   chapitre 04 01 Premiere enigme
  414.    wt: 1:   chapitre 04 00 Les regles d implication
  415.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  416.    wt: 1:   4 Energy Power Heat09
  417.    wt: 1:   F Wire Resistance Calculation04
  418.    wt: 1:   B Wire Resistance Qualitative02
  419.    wt: 1:   C Electromotive force conventional current02
  420.    wt: 1:   Ages 10 to 12 Geometry
  421.    wt: 1:   Ages 10 to 12 Arithmetic
  422.    wt: 1:   Ages 9 to 10
  423.    wt: 1:   Ages 8 to 9
  424.    wt: 1:   Ages 7 to 8
  425.    wt: 1:   Ages 6 to 7
  426.    wt: 1:   sign monoticity analysis example 3
  427.    wt: 1:   sign monoticity analysis example 2
  428.    wt: 1:   sign monoticity analysis example 1
  429.    wt: 1:   4 quadratics difference of two squares
  430.    wt: 1:   4 Polynomials Long division linear divisor
  431.    wt: 1:   14 secant function Definition Graph and Inverse
  432.    wt: 1:   4 possible motivation for term arccos
  433.    wt: 1:   12 From Applied To Pure Mathematics
  434.    wt: 1:   5 Head To Tail Arrow Addition
  435.    wt: 1:   4 graphing y=Asin(x c)
  436.    wt: 1:   Triangle Angles Sum To 180 Degrees
  437.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  438.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  439.    wt: 1:   Straight Lines ASA Intersection Study More
  440.    wt: 1:   Straight Lines ASA Intersection Study
  441.    wt: 1:   Straight Lines Instersection Solving Equations
  442.    wt: 1:   14 Straight Lines Equations General Case
  443.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  444.    wt: 1:   4 Tangent Function Properties
  445.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  446.    wt: 1:   25 tangent double angle formula Slope connection
  447.    wt: 1:   24 tangent Angle Difference Formula
  448.    wt: 1:   16 Right Triangle Complementary Angle Relations
  449.    wt: 1:   14 cosine even and sine and tangent are odd
  450.    wt: 1:   7 period of sine and cosine
  451.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  452.    wt: 1:   8 Similarity of Triangles and Polygons
  453.    wt: 1:   PS D Addition with Cartesian Coordinates
  454.    wt: 1:   4 Angles on Maps Plans drawn to scale
  455.    wt: 1:   A Modular and Remainder Arithmetic
  456.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  457.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  458.    wt: 1:   4 Location of Point in Decimal Addition
  459.    wt: 1:   4 Fraction Operations Axiomatic Development
  460.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  461.    wt: 1:   4 Subtraction and Division Axioms
  462.    wt: 1:   4 Comparison of Negative Numbers
  463.    wt: 1:   14 Real Number Multiplication
  464.    wt: 1:   4 Rational Numbers
  465.    wt: 1:   5 Independent versus Dependent Variables
  466.    wt: 1:   3 Geometric Formulas and Function Notation
  467.    wt: 1:   2 Computation Rules Evaluation
  468.    wt: 1:   1 Formulas Dependence and Function Notation
  469.    wt: 1:   Simple Exercises
  470.    wt: 1:   4 Circle Area Formula Example
  471.    wt: 1:   4 Subset Builder Notation
  472.    wt: 1:   4 A Brief Story of numbers and algebra
  473.    wt: 1:   arithmetic videos Real Player Format
  474.    wt: 1:   3 Comparison of Negative Numbers
  475.    wt: 1:   2 More and Less Than with Unlike Signs
  476.    wt: 1:   1 More and Less Than for Counts and Measures
  477.    wt: 1:   5 Square Roots with primes more still
  478.    wt: 1:   3 Properties of Square Roots with example
  479.    wt: 1:   2 Square Roots with Prime
  480.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  481.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  482.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  483.    wt: 1:   13 GCD from given Prime Factorization
  484.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  485.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  486.    wt: 1:   8 GCD from Euclidean Algorithm
  487.    wt: 1:   7 GCD and LCM from prime factorization
  488.    wt: 1:   6 GCD from Prime
  489.    wt: 1:   2 Least Common Multiple LCM intro via list method
  490.    wt: 1:   1 Least Common Multiples LCM Introduction
  491.    wt: 1:   12 GCD 2700 288 via Prime
  492.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  493.    wt: 1:   3 Counting with Tables and Trees II
  494.    wt: 1:   2 Counting with Tables and Trees I
  495.    wt: 1:   1 Counting and Counting Methods I
  496.    wt: 1:   11 What are real lengths and numbers
  497.    wt: 1:   10 dividing signed numbers
  498.    wt: 1:   9 subtracting signed numbers
  499.    wt: 1:   8 multiplying signed numbers
  500.    wt: 1:   7 negative and additive inverse
  501.    wt: 1:   6 adding signed numbers
  502.    wt: 1:   5 lengths and signs of numbers
  503.    wt: 1:   3 signed coordinates for maps and planes
  504.    wt: 1:   2 signed and unsigned numbers as coordinates
  505.    wt: 1:   7 Converting or Changing Units
  506.    wt: 1:   6 Simplification of Fractions with Units
  507.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  508.    wt: 1:   3 Multiplying Units and Numbers
  509.    wt: 1:   2 Equality and Units
  510.    wt: 1:   1 Addition and Subtraction with Units
  511.    wt: 1:   D Three Term Ratios
  512.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  513.    wt: 1:   B Fractions and Two Term Ratios
  514.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  515.    wt: 1:   22 Complex Compound Fractions
  516.    wt: 1:   21 Working With Signs
  517.    wt: 1:   21 Reciprocals for Fractions and Wholes
  518.    wt: 1:   20 Dividing Fractions the Why
  519.    wt: 1:   19 Dividing Fractions How TO
  520.    wt: 1:   18 Efficient Ways to Multiply
  521.    wt: 1:   17 Efficient Ways to Add and Subtract
  522.    wt: 1:   16 Addition Subtraction Comparision Compared
  523.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  524.    wt: 1:   13 Fraction Comparison Algebraic View
  525.    wt: 1:   12 Fraction Comparison
  526.    wt: 1:   11 Simplification an Algebraic View
  527.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  528.    wt: 1:   9 Improper Fractions and Mixed Numbers
  529.    wt: 1:   8 Numerals Fractionals Quantals Take II
  530.    wt: 1:   7 Numerals Fractionals Quantals
  531.    wt: 1:   6 Multiplication of Mixed Numbers
  532.    wt: 1:   6 Multiplication Algebraically Take II
  533.    wt: 1:   5 Equivalent Fractions
  534.    wt: 1:   3 Unit fraction of a fraction
  535.    wt: 1:   2 Unit Fraction Multiplication
  536.    wt: 1:   1 What is a fraction Take II
  537.    wt: 1:   1 What is a fraction
  538.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  539.    wt: 1:   D Remainders Modulo 11 Pair Rule
  540.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  541.    wt: 1:   A Associative Law Theorectical Note
  542.    wt: 1:   13 Subtraction with Additive Inverse
  543.    wt: 1:   12 Adding Integers More Examples
  544.    wt: 1:   11 Adding Integers Formulas and Examples
  545.    wt: 1:   10 Integer Multiplication Formulas
  546.    wt: 1:   9 Multiplying Integers
  547.    wt: 1:   8 Multiplication by Signed Numbers Integers
  548.    wt: 1:   7 Multiplication by Signs
  549.    wt: 1:   6 Multiplication by Natural Numbers
  550.    wt: 1:   5 Zero Movement and Additive Inverses
  551.    wt: 1:   3 Adding Movements with same direction
  552.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  553.    wt: 1:   1 Integers as Coordinates
  554.    wt: 1:   20 Uniqueness of Prime Factorization
  555.    wt: 1:   19 video Prime Factorization Unique
  556.    wt: 1:   18 video Count Factors given Prime Factorization
  557.    wt: 1:   17 Identify and Count Factors using Primes
  558.    wt: 1:   16 video Factors of 980 using prime
  559.    wt: 1:   15 video Factors of 20 using Prime Factorization
  560.    wt: 1:   12 LCD GCD and LCM using Primes
  561.    wt: 1:   11 Efficient Square Rule Use
  562.    wt: 1:   10 video Prime Factorization upto 23 squared
  563.    wt: 1:   9 video Prime Factorization upto 19 squared
  564.    wt: 1:   8 video Prime Factorization upto 19
  565.    wt: 1:   7 Calculator Usage Notes and Cautions
  566.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  567.    wt: 1:   5 Prime Factorization and a Square Rule
  568.    wt: 1:   3 video Primes and Composites from 9 times table
  569.    wt: 1:   2 Prime and Composites less than 16
  570.    wt: 1:   1 video how Products are bigger than factor
  571.    wt: 1:   D Decimal Multiplication Methods Derived
  572.    wt: 1:   C Counting Areas with Powers of Ten
  573.    wt: 1:   B Powers of Ten
  574.    wt: 1:   A Elementary Basis for Multiplication Methods
  575.    wt: 1:   6 Multiplication Commutes Order Not Important
  576.    wt: 1:   5 Decimal Fraction Multiplication
  577.    wt: 1:   3 More One Digit Multipliers
  578.    wt: 1:   2 One Digit Multipliers
  579.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  580.    wt: 1:   Video Power Notation in Decimal Expansion
  581.    wt: 1:   1 Why 3 times 5 gives 15
  582.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  583.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  584.    wt: 1:   Subtraction Another Video Lesson
  585.    wt: 1:   9 22 Minute Subtraction Review Video
  586.    wt: 1:   8 Subtraction with Units of Measure
  587.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  588.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  589.    wt: 1:   5 A Tip for Efficent Subtraction
  590.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  591.    wt: 1:   2 Subtraction Easy Case Examples
  592.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  593.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  594.    wt: 1:   8 What skills and work habits to require
  595.    wt: 1:   7 Adding decimal fractions using decimal point
  596.    wt: 1:   6. Counting and adding units and mixed units
  597.    wt: 1:   5. How to add decimals C. Examples
  598.    wt: 1:   3. How to add with decimals A sans conversions
  599.    wt: 1:   2 Decimal Counting Practices
  600.    wt: 1:   1. Explaining Addition Table
  601.    wt: 1:   11 Place Value SI Standard International way
  602.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  603.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  604.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  605.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  606.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  607.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  608.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  609.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  610.    wt: 1:   Quick history of numbers and algebra
  611.    wt: 1:   Exact Arithmetic Wholes and Fractions
  612.    wt: 1:   Expression Evaluation how to show work
  613.    wt: 1:   The 20 Times Table
  614.    wt: 1:   The 12 Times Table Visually
  615.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  616.    wt: 1:   About folder contents
  617.    wt: 1:   014 Counting Days with Calendars
  618.    wt: 1:   4 Mixing and Changing Units of Time
  619.    wt: 1:   Example 2 volume of a cone
  620.    wt: 1:   Example 1 volume of a pyramid
  621.    wt: 1:   Volume of Solid by Cross Sections Lesson
  622.    wt: 1:   Example 1. Area Between x and x squared
  623.    wt: 1:   Example 3
  624.    wt: 1:   Example 2
  625.    wt: 1:   Example 1
  626.    wt: 1:   Area Between Curves Lesson Take 2
  627.    wt: 1:   Area Between Curves Lesson Take 1
  628.    wt: 1:   Summary
  629.    wt: 1:   A Chain Rule Real Player video examples
  630.    wt: 1:   38 Formulas and derivatives for powers and roots
  631.    wt: 1:   36 Cube root derivative animated
  632.    wt: 1:   31 Derivatives of inverse functions
  633.    wt: 1:   30Chain Rule A Proof
  634.    wt: 1:   29 Chain Rule Optional Reading
  635.    wt: 1:   28 Chain Rule Preparation for a Proof
  636.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  637.    wt: 1:   26 Chain Rule Recognising outer inner functions
  638.    wt: 1:   22 Chain Rule for polynomials
  639.    wt: 1:   21 Chain Rule for powers
  640.    wt: 1:   20 Chain Rule for Pulley Systems
  641.    wt: 1:   19 Chain Rule for linear functions
  642.    wt: 1:   18 Chain Rule Introduction
  643.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  644.    wt: 1:   15 sine and cosine derivatives 3rd step
  645.    wt: 1:   12 Quotient rule examples
  646.    wt: 1:   11 Quotient rule
  647.    wt: 1:   10 Power rule for negative integers
  648.    wt: 1:   9 Reciprocal rule
  649.    wt: 1:   8 Differentiation of polynomials
  650.    wt: 1:   7 Animated Differentiation Examples
  651.    wt: 1:   5 Product Rule
  652.    wt: 1:   3 Motivation for Limit Definition Take 2
  653.    wt: 1:   2 Motivation for Limit Definition Take 1
  654.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  655.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  656.    wt: 1:   11 Limits at infinity Three Examples
  657.    wt: 1:   10 Three one sided limits with infinite values
  658.    wt: 1:   9 Limits Continuity and Composition
  659.    wt: 1:   8 Four Animated Examples
  660.    wt: 1:   7 Evaluation by immediate or delayed substitution
  661.    wt: 1:   6 Continuity at a point
  662.    wt: 1:   5 Jumps and absence of unlimited error control
  663.    wt: 1:   3 Decimal insights for limits continuity convergence
  664.    wt: 1:   2 Algebraic codification
  665.    wt: 1:   1 Numerical introduction
  666.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  667.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  668.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  669.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  670.    wt: 1:   G.5 Motions With Bounded Velocities
  671.    wt: 1:   G.3 Constant Difference Theorem Proof
  672.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  673.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  674.    wt: 1:   F.5a Equicontinuity Theorems
  675.    wt: 1:   F.3 Intermediate Value Theorem
  676.    wt: 1:   F.2 Closed Range Theorem
  677.    wt: 1:   F.1 What Functions are Continuous
  678.    wt: 1:   E2 Algebraic Properties of Limits
  679.    wt: 1:   E1 Error Control Inequalities
  680.    wt: 1:   D2 Limits of Monotone Sequences
  681.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  682.    wt: 1:   B3 Bolzano Weierstrass Theorem
  683.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  684.    wt: 1:   PostScript For and Against Decimal Perspectives
  685.    wt: 1:   A1. Introduction
  686.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  687.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  688.    wt: 1:   Chapter 23 Links To Trigonometry
  689.    wt: 1:   Chapter 22 Complex Numbers
  690.    wt: 1:   Chapter 21 Arrow Addition
  691.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  692.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  693.    wt: 1:   Chapter 18. Slopes Areas Integration
  694.    wt: 1:   Chapter 17. Area Approximation
  695.    wt: 1:   Chapter 16. Velocity Approximation
  696.    wt: 1:   Chapter 15. Slope Approximation
  697.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  698.    wt: 1:   Chapter 13. Acceleration
  699.    wt: 1:   Chapter 12. Units and Slopes
  700.    wt: 1:   Chapter 11. Graphing Slope versus Position
  701.    wt: 1:   Chapter 10 Slopes and Units
  702.    wt: 1:   Chapter 9 About First Courses in Calculus
  703.    wt: 1:   Chapter 8. Slope Interpretation
  704.    wt: 1:   Chapter 7 Slopes and Velocity
  705.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  706.    wt: 1:   Chapter 5. Slope Sign Tests
  707.    wt: 1:   Chapter 3. Slope Sign Analysis
  708.    wt: 1:   Chapter 2. Slopes and Ski Trails
  709.    wt: 1:   Chapter 1.Introduction
  710.    wt: 1:   Fall 1983 Calculus Appetizer
  711.    wt: 1:   Foreword
  712.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  713.    wt: 1:   Postscript C Consistency as a Tool for Reason
  714.    wt: 1:   Postscript B More on Story Telling and Reason
  715.    wt: 1:   Postscript A Story Telling
  716.    wt: 1:   Chapter 23 Truth Tables
  717.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  718.    wt: 1:   Chapter 21 Occurrence Tables
  719.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  720.    wt: 1:   Chapter 18 Sense and Knowledge
  721.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  722.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  723.    wt: 1:   Chapter 15 Objective Processes
  724.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  725.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  726.    wt: 1:   Chapter 11 Accidental Patterns
  727.    wt: 1:   Chapter 10 Responsibility
  728.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  729.    wt: 1:   Chapter 8 Change of Language
  730.    wt: 1:   Chapter 7 Longer Chains of Reason
  731.    wt: 1:   Chapter 6 Chains of Reason
  732.    wt: 1:   Chapter 5 Deception
  733.    wt: 1:   Chapter 2 Skill Development
  734.    wt: 1:   Chapter 1 Introduction
  735.    wt: 1:   Three Remarks
  736.    wt: 1:   Foreword
  737.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  738.    wt: 1:   R Why Learn Mathematics Skills
  739.    wt: 1:   O On Learning Mathematics and Science
  740.    wt: 1:   D. Check work a must with a caution
  741.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  742.    wt: 1:   Implementation Notes
  743.    wt: 1:   More Algebra and Slope based Calculus Preview
  744.    wt: 1:   Systematic Algebra Skill Development Missing Links
  745.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  746.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  747.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  748.    wt: 1:   Which Way To Go

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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