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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86 matches:

  1.    wt: 9:   12 Comparison of Unsigned and Signed Numbers/
  2.    wt: 9:   8 Arithmetic with Signed Numbers/
  3.    wt: 9:   Time Date Matters/
  4.    wt: 8:   B Real Numbers Extrinsic Development/
  5.    wt: 8:   10 Examples of Algebraic Reasoning/
  6.    wt: 8:   9 Proportionality Backwards and Forwards/
  7.    wt: 8:   5 Real Numbers/
  8.    wt: 8:   1 Working With Sets/
  9.    wt: 8:   7 Arithmetic and Fractions with Units/
  10.    wt: 8:   3 Prime Factorization Skills/
  11.    wt: 7:   2 Natural Logarithms Exponentials Powers Roots/
  12.    wt: 7:   2 Euclidean Geometry Constructions Theory extras/
  13.    wt: 7:   A Origins of Counting and Figuring Methods/
  14.    wt: 7:   7 Axioms Logic and Equivalent Equations/
  15.    wt: 7:   6 More Less Greater Than Inequalities and Comparison/
  16.    wt: 7:   4 Computation Rules and Function Notation/
  17.    wt: 7:   3 Solving Linear Equations/
  18.    wt: 7:   10 LCM GCD and Euclid GCD Algorithm/
  19.    wt: 7:   9 Combinatorics Trees Tables and Products/
  20.    wt: 7:   6 Fractions and Ratios/
  21.    wt: 7:   5 Integers/
  22.    wt: 7:   4 Remainder Arithmetic and Divisibility/
  23.    wt: 7:   1 Decimal Place Value/
  24.    wt: 7:   12 Webvideo Lessons on Area and Volume Calculation/
  25.    wt: 7:   38 Lessons on Calculating Derivatives/
  26.    wt: 7:   Mathematics 506 Lessons/
  27.    wt: 6:   Progressive Observable Motivated Mathematics Education/
  28.    wt: 6:   Volume 1A Regles et modeles/
  29.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  30.    wt: 6:   11 Squares and Square Roots/
  31.    wt: 6:   5 Lessons on Integration/
  32.    wt: 6:   4 Lessons on Using Derivatives/
  33.    wt: 6:   13 Lessons on Limits and Continuity/
  34.    wt: 6:   Volume 2 Three Skills For Algebra/
  35.    wt: 5:   LAMP Lean Applied Mathematics Program/
  36.    wt: 5:   Mathematics Education Essays/
  37.    wt: 5:   Mathematics Skills Year by Year/
  38.    wt: 5:   5 Factored Polynomial Sign Analysis Examples/
  39.    wt: 5:   4 Functions/
  40.    wt: 5:   3 Quadratics Geometrically/
  41.    wt: 5:   1 Five Polynomial Operations/
  42.    wt: 5:   12 Function Translating and Rescaling/
  43.    wt: 5:   10 Intersecting Straight Lines and Transversals/
  44.    wt: 5:   7 Complex Numbers/
  45.    wt: 5:   Skills with take home value/
  46.    wt: 5:   PreSchool and Primary Mathematics or Quantitative Skills/
  47.    wt: 4:   8 Unit Circle Trigonometry/
  48.    wt: 4:   6 Trigonometry first steps/
  49.    wt: 4:   5 What is Similarity/
  50.    wt: 4:   4 Lines and Slopes Take 1/
  51.    wt: 4:   3 Cartesian and Polar Coordinates/
  52.    wt: 4:   1 Maps Plans Measurement/
  53.    wt: 4:   Algebra Starter Lessons/
  54.    wt: 4:   Arithmetic and Number Theory Skills/
  55.    wt: 4:   Secondary Mathematics A Practical Approach/
  56.    wt: 3:   Archives/
  57.    wt: 3:   francais/
  58.    wt: 3:   Parent Center/
  59.    wt: 3:   More Algebra/
  60.    wt: 3:   15 Arc or Inverse Trigonometric Function/
  61.    wt: 3:   14 Degrees to Radians and Radians to Degrees/
  62.    wt: 3:   13 Vectors/
  63.    wt: 3:   11 Parallel Straight Lines and Transversals/
  64.    wt: 3:   70 Calculus Starter Lessons/
  65.    wt: 3:   Volume 1B Mathematics Curriculum Notes/
  66.    wt: 3:   Volume 1 Elements of Reason/
  67.    wt: 3:   Work and Study Tips/
  68.    wt: 3:   Quebec Material/
  69.    wt: 2:   Direct Current Electric Circuits/
  70.    wt: 2:   Advanced Calculus Volume 3 Appendices/
  71.    wt: 2:   Volume 3 Why Slopes A Calculus Intro Etc/
  72.    wt: 2:   Volume 1A Pattern Based Reason/
  73.    wt: 2:   Resources and Reciprocal Links/
  74.    wt: 2:   Mathematics Skill Development Framework/
  75.    wt: 1:   Geometry maps plans trigonometry vectors/
  76.    wt: 14:   Step 2 Algebraic solutions for one unknown/
  77.    wt: 14:   B Decimal Comparing and Subtracting Methods/
  78.    wt: 13:   D Decimal Long Division Methods/
  79.    wt: 13:   C Decimal Multiplication Methods/
  80.    wt: 13:   A Decimal Counting and Adding Methods/
  81.    wt: 11:   Step 3 Easy systems in 2 or more unknowns/
  82.    wt: 10:   8 Unifying Theme For Algebra/
  83.    wt: 10:   Step 4 Gaussian Elimination/
  84.    wt: 10:   Step 1 Stick diagram and fractions/
  85.    wt: 10:   2 Formula Forward Use Evaluation/
  86.    wt: 10:   2 Arithmetic with Decimals/

Web Page Search

655 matches:

  1.    wt: 5:   Postscript 2007 01 10
  2.    wt: 5:   02 20 mathematics education references
  3.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  4.    wt: 5:   10 Euclid Algorithm with 129 125 and with 45 14
  5.    wt: 5:   12 GCD 2700 288 via Prime
  6.    wt: 4:   Applied Maths Program14092009 POMME variant
  7.    wt: 4:   02 21 words for teachers
  8.    wt: 4:   chapitre 02 00 La Communication des idees
  9.    wt: 4:   23 sine and cosine of 180 plus 22.5 degrees
  10.    wt: 4:   1 Three Skills For Algebra
  11.    wt: 4:   11 GCD 2700 288 via Euclid Algorithm
  12.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  13.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  14.    wt: 4:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  15.    wt: 4:   Chapter 8 Three Skills For Algebra
  16.    wt: 4:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  17.    wt: 3:   2 arithmetic with signed numbers
  18.    wt: 3:   the trouble with algebra
  19.    wt: 3:   three goals for Mathematics Education
  20.    wt: 3:   04 29 New Mathematics Curriculum
  21.    wt: 3:   04 25 when to stop or suspend mathemat
  22.    wt: 3:   three aims for mathematics students
  23.    wt: 3:   chapitre 12 00 les iles et division
  24.    wt: 3:   chapitre 07 01 principle D induction mathematique
  25.    wt: 3:   chapitre 07 00 Des chaines plus longues de la raison
  26.    wt: 3:   chapitre 06 00 Chaines de la raison
  27.    wt: 3:   chapitre 05 00 Deception
  28.    wt: 3:   chapitre 04 02 Deuxieme enigme
  29.    wt: 3:   chapitre 04 00 Les regles d implication
  30.    wt: 3:   chapitre 01 00 Introduction
  31.    wt: 3:   2 Conductance Resistance Duality02
  32.    wt: 3:   C Electromotive force conventional current02
  33.    wt: 3:   22 Student Centered Highschool Mathematics
  34.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  35.    wt: 3:   12 Goals and Objectives For Mathematics
  36.    wt: 3:   Ages 12 to 14 Skills with take home value
  37.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  38.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  39.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  40.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  41.    wt: 3:   26 Formulas for products of sines and cosines
  42.    wt: 3:   20 sine and cosine Double Angle Formulas
  43.    wt: 3:   20 N th Roots of Complex Numbers
  44.    wt: 3:   12 cis formulas for sine cosines and tangent
  45.    wt: 3:   4 Equations for lines three forms
  46.    wt: 3:   22 Multiplication of Signed Numbers
  47.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  48.    wt: 3:   2 Essentially one exercises three with solution
  49.    wt: 3:   2 Another Rectangle Area Formula Example
  50.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  51.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  52.    wt: 3:   20 Dividing Fractions the Why
  53.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  54.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  55.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  56.    wt: 3:   The 20 Times Table
  57.    wt: 3:   22 Chain Rule for polynomials
  58.    wt: 3:   20 Chain Rule for Pulley Systems
  59.    wt: 3:   10 Three one sided limits with infinite values
  60.    wt: 3:   Chapter 22 Complex Numbers
  61.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  62.    wt: 3:   Chapter 23. Notation For Sums
  63.    wt: 3:   Chapter 22. Geometric Sums and Sequences
  64.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  65.    wt: 3:   Chapter 2 For and Against Mathematics
  66.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  67.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  68.    wt: 2:   Appendix 2 primary school Arithmetic 01
  69.    wt: 2:   Ramblings Extrinsic numbers theory
  70.    wt: 2:   Skills Chapter 3 Algebra
  71.    wt: 2:   Skills Chapter 2 Geometry
  72.    wt: 2:   Skills Chapter 0 Introduction
  73.    wt: 2:   1 arithmetic with unsigned numbers
  74.    wt: 2:   three goals to set for students
  75.    wt: 2:   Secondary Three Mathematics
  76.    wt: 2:   talk the algebra talk
  77.    wt: 2:   geometric implications for algebra
  78.    wt: 2:   formal or informal peer review
  79.    wt: 2:   three kinds of reason in mathematics
  80.    wt: 2:   need for a mixed mathematics curriculum
  81.    wt: 2:   Prequel In For A Penny In For A Pound
  82.    wt: 2:   words for mathematics instructor
  83.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  84.    wt: 2:   chapitre 04 09 Regles accidentelles
  85.    wt: 2:   chapitre 04 08 Limitations et benefices
  86.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  87.    wt: 2:   chapitre 04 06 engagements
  88.    wt: 2:   chapitre 04 05 Implication versus suggestion
  89.    wt: 2:   chapitre 04 04 Parlons de la logique
  90.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  91.    wt: 2:   chapitre 04 01 Premiere enigme
  92.    wt: 2:   2 Energy Power Heat07
  93.    wt: 2:   B Energy Power02
  94.    wt: 2:   D Wire Resistance Calculation02
  95.    wt: 2:   B Wire Resistance Qualitative02
  96.    wt: 2:   2 Unlike resistors in parallel01
  97.    wt: 2:   H Series Circuit02
  98.    wt: 2:   B Electromotive force conventional current01
  99.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  100.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  101.    wt: 2:   24 Standards For Skill Develoment Take II
  102.    wt: 2:   24 Standards For Skill Develoment
  103.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  104.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  105.    wt: 2:   10 Ends values for work study instruction
  106.    wt: 2:   2 Reading and Writing Skills
  107.    wt: 2:   Ages 10 to 12 Geometry
  108.    wt: 2:   Ages 10 to 12 Arithmetic
  109.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  110.    wt: 2:   22 Square Root function graphically
  111.    wt: 2:   20 Interchanging coordinates a reflection
  112.    wt: 2:   5 Function notation for geometric transformations
  113.    wt: 2:   2 Algebraic use of function notation
  114.    wt: 2:   12 motivation for term arctan
  115.    wt: 2:   12 From Applied To Pure Mathematics
  116.    wt: 2:   29 secant cosecant and cotangent for acute angles
  117.    wt: 2:   28 Expressing products of sines cosines as sums
  118.    wt: 2:   25 tangent double angle formula Slope connection
  119.    wt: 2:   24 tangent Angle Difference Formula
  120.    wt: 2:   21 sine and cosine Half Angle Formulas
  121.    wt: 2:   17E Trig Formulas for dot and cross Products
  122.    wt: 2:   17D cis formulas for sine cosines and tangent
  123.    wt: 2:   17A The complex number valued trig function cis
  124.    wt: 2:   12 Graph of tangent function for one period
  125.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  126.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  127.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  128.    wt: 2:   13 Trig Formulas for dot and cross Products
  129.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  130.    wt: 2:   9 The complex number valued trig function cis
  131.    wt: 2:   2 Complex Numbers made easier we hope
  132.    wt: 2:   2 point slope equation for a line
  133.    wt: 2:   10 Pythagorean plane distance formula
  134.    wt: 2:   2 Cartesian Coordinates with signs
  135.    wt: 2:   PS H Distributive Law For Complex Numbers
  136.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  137.    wt: 2:   12 Real Numbers Line Signed Coordinates
  138.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  139.    wt: 2:   5 Distributive Law for Whole Numbers
  140.    wt: 2:   2 Combing Counts Addition Skills and Principles
  141.    wt: 2:   1 The Counting Origins of Numbers
  142.    wt: 2:   2 Algebraic View
  143.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  144.    wt: 2:   2 More and Less Than for Counts and Measures
  145.    wt: 2:   12 Real Number Additive Inverses or Negatives
  146.    wt: 2:   10 Real Number Lengths and Signs
  147.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  148.    wt: 2:   2 Three Examples
  149.    wt: 2:   2 Three Examples
  150.    wt: 2:   Formula Usage Show Work Format
  151.    wt: 2:   13 Naming Identifying Formulas with Words
  152.    wt: 2:   1 Written work formats for developing and showing skill
  153.    wt: 2:   4 A Brief Story of numbers and algebra
  154.    wt: 2:   2 More and Less Than with Unlike Signs
  155.    wt: 2:   2 Square Roots with Prime
  156.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  157.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  158.    wt: 2:   2 Counting with Tables and Trees I
  159.    wt: 2:   10 dividing signed numbers
  160.    wt: 2:   2 signed and unsigned numbers as coordinates
  161.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  162.    wt: 2:   22 Complex Compound Fractions
  163.    wt: 2:   21 Working With Signs
  164.    wt: 2:   21 Reciprocals for Fractions and Wholes
  165.    wt: 2:   10 Integer Multiplication Formulas
  166.    wt: 2:   26 Divisibility by 2 3 5 Example
  167.    wt: 2:   23 Remainder Arithmetic Modulo 2
  168.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  169.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  170.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  171.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  172.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  173.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  174.    wt: 2:   20 Uniqueness of Prime Factorization
  175.    wt: 2:   15 video Factors of 20 using Prime Factorization
  176.    wt: 2:   10 video Prime Factorization upto 23 squared
  177.    wt: 2:   Long Division forwards and backwards Example 2
  178.    wt: 2:   4 Division with 2 Digit Divsors
  179.    wt: 2:   2 Division with Single Digit Divisors
  180.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  181.    wt: 2:   9 22 Minute Subtraction Review Video
  182.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  183.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  184.    wt: 2:   4. How to add with decimals B with conversions
  185.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  186.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  187.    wt: 2:   Quick history of numbers and algebra
  188.    wt: 2:   The 12 Times Table Visually
  189.    wt: 2:   016 Numbering Occidental Calendar Days
  190.    wt: 2:   014 Counting Days with Calendars
  191.    wt: 2:   012 Division of Time Intervals by Time Intervals
  192.    wt: 2:   011 Division of Time Intervals By Numbers
  193.    wt: 2:   010 Repeated Addition of Time Intervals
  194.    wt: 2:   38 Formulas and derivatives for powers and roots
  195.    wt: 2:   28 Chain Rule Preparation for a Proof
  196.    wt: 2:   21 Chain Rule for powers
  197.    wt: 2:   10 Power rule for negative integers
  198.    wt: 2:   3 Motivation for Limit Definition Take 2
  199.    wt: 2:   2 Motivation for Limit Definition Take 1
  200.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  201.    wt: 2:   2 Algebraic codification
  202.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  203.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  204.    wt: 2:   F.2 Closed Range Theorem
  205.    wt: 2:   E2 Algebraic Properties of Limits
  206.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  207.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  208.    wt: 2:   Postscript For Better Performance
  209.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  210.    wt: 2:   Chapter 25. Mathematical Induction Examples
  211.    wt: 2:   Chapter 20. Degrees and Radians
  212.    wt: 2:   Chapter 18. Rules for Algebra
  213.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  214.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  215.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  216.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  217.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  218.    wt: 2:   R Why Learn Mathematics Skills
  219.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  220.    wt: 2:   N Mathematics Prepare for College Studies
  221.    wt: 2:   L Skills with take home value
  222.    wt: 2:   G. Written work formats for developing and showing skill
  223.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  224.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  225.    wt: 2:   Helping the Blind in Logic and Mathematics
  226.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  227.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  228.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  229.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  230.    wt: 2:   The Math Forum and Site Content
  231.    wt: 1:   Appendix 1 primary and preschool mathematic
  232.    wt: 1:   G LAMP Introduction Problem Solving Skills
  233.    wt: 1:   E LAMP Introduction Modern Mathematics
  234.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  235.    wt: 1:   Skills Chapter 5 Calculus
  236.    wt: 1:   Skills Chapter 4 Logic
  237.    wt: 1:   Ramblings Introduction Algebra Essay
  238.    wt: 1:   Skills Chapter 1 Arithmetic
  239.    wt: 1:   11 pure mathematics
  240.    wt: 1:   10 statistics
  241.    wt: 1:   4 algebra
  242.    wt: 1:   why bother
  243.    wt: 1:   Teach the teachers plus goals
  244.    wt: 1:   permissions for teachers
  245.    wt: 1:   activities for students
  246.    wt: 1:   key notes and themes
  247.    wt: 1:   Mathematics Education Professors
  248.    wt: 1:   mathematics in context
  249.    wt: 1:   Education Reform Inconsistencies
  250.    wt: 1:   Secondary Two Mathematics
  251.    wt: 1:   Secondary One Mathematics
  252.    wt: 1:   three difficulties
  253.    wt: 1:   mathematics curriculum shifts
  254.    wt: 1:   teaching tutoring algebraic reason
  255.    wt: 1:   Lessening Algebra Difficulties
  256.    wt: 1:   05 13 OldSiteEntrancePage
  257.    wt: 1:   standards for course material
  258.    wt: 1:   Theory of Knowledge
  259.    wt: 1:   mathematics instruction in general
  260.    wt: 1:   Education in mathematics science and technology
  261.    wt: 1:   Four ways to improve education reform
  262.    wt: 1:   Leaner mathematics curriculum
  263.    wt: 1:   fairness and inductive principles for instruction
  264.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  265.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  266.    wt: 1:   4 Energy Power Heat09
  267.    wt: 1:   3 Energy Power Heat08
  268.    wt: 1:   1 Energy Power Heat06
  269.    wt: 1:   E Energy Power05
  270.    wt: 1:   D Energy Power04
  271.    wt: 1:   C Energy Power03
  272.    wt: 1:   A Energy Power01
  273.    wt: 1:   1 Conductance Resistance Duality01
  274.    wt: 1:   F Wire Resistance Calculation04
  275.    wt: 1:   E Wire Resistance Calculation03
  276.    wt: 1:   C Wire Resistance Calculation01
  277.    wt: 1:   A Wire Resistance Qualitative01
  278.    wt: 1:   G Series Circuit01
  279.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  280.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  281.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  282.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  283.    wt: 1:   18 Primary School Mathematics
  284.    wt: 1:   17 Math Booklets for children and young teenagers
  285.    wt: 1:   16 Secondary Mathematics Tips
  286.    wt: 1:   15 Counting For Parents
  287.    wt: 1:   8 The Effect of Negative Remarks
  288.    wt: 1:   5 Patience Please for Yourself and Your Charges
  289.    wt: 1:   4 Learning Takes Time and Effort
  290.    wt: 1:   3 Preparing for Science Studies
  291.    wt: 1:   1 Speaking Skills
  292.    wt: 1:   Ages 12 to 14 Geometry
  293.    wt: 1:   Ages 12 to 14 Arithmetic
  294.    wt: 1:   Ages 9 to 10
  295.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  296.    wt: 1:   sign monoticity analysis example 2
  297.    wt: 1:   26 Function definitions done and coming
  298.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  299.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  300.    wt: 1:   23 Inverse Functions
  301.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  302.    wt: 1:   17 Function maxima minima and their location
  303.    wt: 1:   12 Function Domain Recognition Exercises
  304.    wt: 1:   10 Interval Notation
  305.    wt: 1:   9 Set theory term relation possible origins
  306.    wt: 1:   7 Functions with finite domains
  307.    wt: 1:   6 Set Existence Formation and Notation
  308.    wt: 1:   4 Function notation in and beyond mathematics
  309.    wt: 1:   3 Formula or function graphing exercise
  310.    wt: 1:   10 quadratic exercises
  311.    wt: 1:   9 quadratics physical and further context
  312.    wt: 1:   8 quadratics backward use of various formulas
  313.    wt: 1:   7 quadratic formulla derivation
  314.    wt: 1:   5 quadratics completing the square
  315.    wt: 1:   2 quadratics graphing in general
  316.    wt: 1:   Quadratics in 10 steps
  317.    wt: 1:   10 Exponential Growth and Decay Models
  318.    wt: 1:   2 Square Root Simplification a prequel
  319.    wt: 1:   8 Notes for instructors or tutors
  320.    wt: 1:   2 Column Multiplication Method
  321.    wt: 1:   Rewriting algebraic substitution as function substitutions
  322.    wt: 1:   10 arctan left inverse of tangent Definition
  323.    wt: 1:   9 motivation for name arcsin
  324.    wt: 1:   4 possible motivation for term arccos
  325.    wt: 1:   2 cosine function more properties
  326.    wt: 1:   2 Radian Measure Numerical Value of one degree
  327.    wt: 1:   10 Parallelogram Addition Method
  328.    wt: 1:   6 Vectors with Coordinates
  329.    wt: 1:   3 Navigation with Arrows or Vectors
  330.    wt: 1:   2 Signed Coordinates
  331.    wt: 1:   Vector and Complex Number Applet
  332.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  333.    wt: 1:   Triangle Angles Sum To 180 Degrees
  334.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  335.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  336.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  337.    wt: 1:   12 Straight Lines Graphing mx plus b
  338.    wt: 1:   10 Straight Lines through Origin Equations More
  339.    wt: 1:   8 Straight Lines Equation for vertical
  340.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  341.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  342.    wt: 1:   17 tangent function angle sum formulas
  343.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  344.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  345.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  346.    wt: 1:   32 seven rows of pascals triangle
  347.    wt: 1:   30 unit circle calculation of six trigonometric functions
  348.    wt: 1:   27 Logarithmic use of products of sines and cosines
  349.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  350.    wt: 1:   17G Pythagorean Theorem Converse
  351.    wt: 1:   17C sine and cosine double triple angle formulas
  352.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  353.    wt: 1:   10 Graphs of sines and cosines many periods
  354.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  355.    wt: 1:   2 Quadrant I reference Angles
  356.    wt: 1:   21 Logarithms Powers and Exponentials
  357.    wt: 1:   15 Pythagorean Theorem Converse
  358.    wt: 1:   11 sine and cosine double triple angle formulas
  359.    wt: 1:   6 Field Properties of Complex Number
  360.    wt: 1:   5 An Easy Proof of the Distributive Law
  361.    wt: 1:   Appetizer A Complex Number Applet
  362.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  363.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  364.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  365.    wt: 1:   1 Angle Measurement with Degrees
  366.    wt: 1:   Why Trigonometry the whyslopes view
  367.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  368.    wt: 1:   12 Triangles Similarity More Problems
  369.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  370.    wt: 1:   4 Similarity Definition with Coordinate
  371.    wt: 1:   3 Similarity by Design with coordinates
  372.    wt: 1:   2 Similarity By Design
  373.    wt: 1:   12 Links Lessons elsewhere
  374.    wt: 1:   10 Midpoint of [a b] and [b a]
  375.    wt: 1:   8 Mid Point Formula
  376.    wt: 1:   5 Algebraic View of Slopes
  377.    wt: 1:   3 Slope product for perpendicular lines
  378.    wt: 1:   1 Numerical view of lines and their equations
  379.    wt: 1:   13 Pythagorean spatial distance formulas
  380.    wt: 1:   12 Spatial Coordinates
  381.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  382.    wt: 1:   7 Complex Numbers Appetizer
  383.    wt: 1:   PS E Multiplication with Polar Coordinates
  384.    wt: 1:   PS D Addition with Cartesian Coordinates
  385.    wt: 1:   21 Parallelograms
  386.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  387.    wt: 1:   12 Side Angle Side Failure
  388.    wt: 1:   10 Dropping a perpendicular to line
  389.    wt: 1:   2 Correspondence between Triangles
  390.    wt: 1:   A Measurement with Ruler Proper Use
  391.    wt: 1:   6 Figuring with Maps Not to Scale
  392.    wt: 1:   2 Measuring Area Directly
  393.    wt: 1:   musings do not puiblish real numbers
  394.    wt: 1:   A Signed Number Arithmetic Review
  395.    wt: 1:   26 More Less Greater Than Comparison
  396.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  397.    wt: 1:   23 Distributive Law Two Derivations
  398.    wt: 1:   21 Addition of Multiples of a Single Vector
  399.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  400.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  401.    wt: 1:   11 Signed Number Addition and Addition Properties
  402.    wt: 1:   9 Division with Digits after Decimal Point
  403.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  404.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  405.    wt: 1:   2 Counting Digits in Decimal Multiplication
  406.    wt: 1:   1 Fractions with Finite Decimal Expansions
  407.    wt: 1:   C Three Decimal Subtraction Methods
  408.    wt: 1:   6 Column Methods for Decimal Multiplication
  409.    wt: 1:   4 Commutative Law Groups Counting Form
  410.    wt: 1:   3 Multiplicative Counting Skills Principles
  411.    wt: 1:   3 Inequalities Algebraically
  412.    wt: 1:   2 Fraction Operations Physical Development
  413.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  414.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  415.    wt: 1:   6 Compound Interest Forward and Backwards
  416.    wt: 1:   5 Triangle Area Formula Backwards
  417.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  418.    wt: 1:   2 Linear Equation Literal Solution
  419.    wt: 1:   5 Equality in Algebra
  420.    wt: 1:   3 Product Axioms Two Forms
  421.    wt: 1:   2 Addition and Multiplication Axioms
  422.    wt: 1:   4 Comparison of Negative Numbers
  423.    wt: 1:   3 More and Less Than with Unlike Signs
  424.    wt: 1:   1 Real Numbers Comparison
  425.    wt: 1:   16 Real Numbers Comparison
  426.    wt: 1:   15 Real Number Division
  427.    wt: 1:   14 Real Number Multiplication
  428.    wt: 1:   13 Real Number Subtraction
  429.    wt: 1:   11 Real Number Addition
  430.    wt: 1:   9 Coordinates for Regions in Space
  431.    wt: 1:   8 Coordinates for Maps and Planes
  432.    wt: 1:   7 Real Numbers as Line Cordinates
  433.    wt: 1:   6 Unsigned Real Numbers
  434.    wt: 1:   5 Rational Numbers More
  435.    wt: 1:   4 Rational Numbers
  436.    wt: 1:   2 Integers
  437.    wt: 1:   1 Whole and Natural Numbers
  438.    wt: 1:   3 Geometric Formulas and Function Notation
  439.    wt: 1:   2 Computation Rules Evaluation
  440.    wt: 1:   1 Formulas Dependence and Function Notation
  441.    wt: 1:   2 GE II Comparison
  442.    wt: 1:   6 Algebraic Solution Example
  443.    wt: 1:   5 Algebraic Solutions Introduction
  444.    wt: 1:   10 One Example
  445.    wt: 1:   9 Three Examples
  446.    wt: 1:   6 Three Examples
  447.    wt: 1:   5 Three Examples
  448.    wt: 1:   Using Letters for Physical Quantities
  449.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  450.    wt: 1:   10 Volume of Pyramid
  451.    wt: 1:   8 Compound Interest Formula Evaluation
  452.    wt: 1:   7 Compound Interest Formula Introduction
  453.    wt: 1:   5 Box Volume Formula Example
  454.    wt: 1:   4 Circle Area Formula Example
  455.    wt: 1:   3 Triangle Area Formula Example
  456.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  457.    wt: 1:   8 Sets of Numbers
  458.    wt: 1:   3 Counting with Sets etc
  459.    wt: 1:   2 Venn Diagrams
  460.    wt: 1:   6 Three Notions of What is a Variable
  461.    wt: 1:   5 Talking about Numbers and Quantities
  462.    wt: 1:   2 What is a Variable
  463.    wt: 1:   arithmetic videos Real Player Format
  464.    wt: 1:   3 Comparison of Negative Numbers
  465.    wt: 1:   1 More and Less Than for Counts and Measures
  466.    wt: 1:   5 Square Roots with primes more still
  467.    wt: 1:   4 Square Roots with primes more
  468.    wt: 1:   3 Properties of Square Roots with example
  469.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  470.    wt: 1:   5 Common Divisors 60 45 via Prime
  471.    wt: 1:   4 LCM of 8 and 10 via Prime
  472.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  473.    wt: 1:   2 Least Common Multiple LCM intro via list method
  474.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  475.    wt: 1:   4 Counting with Trees Product Rule Take I
  476.    wt: 1:   3 Counting with Tables and Trees II
  477.    wt: 1:   11 What are real lengths and numbers
  478.    wt: 1:   9 subtracting signed numbers
  479.    wt: 1:   8 multiplying signed numbers
  480.    wt: 1:   6 adding signed numbers
  481.    wt: 1:   5 lengths and signs of numbers
  482.    wt: 1:   4 signed coordinates for regions in space
  483.    wt: 1:   3 signed coordinates for maps and planes
  484.    wt: 1:   6 Simplification of Fractions with Units
  485.    wt: 1:   4 Fractions with Units
  486.    wt: 1:   3 Multiplying Units and Numbers
  487.    wt: 1:   2 Equality and Units
  488.    wt: 1:   1 Addition and Subtraction with Units
  489.    wt: 1:   D Three Term Ratios
  490.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  491.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  492.    wt: 1:   14 Adding and Subtracting with Like Denominators
  493.    wt: 1:   13 Fraction Comparison Algebraic View
  494.    wt: 1:   12 Fraction Comparison
  495.    wt: 1:   11 Simplification an Algebraic View
  496.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  497.    wt: 1:   9 Improper Fractions and Mixed Numbers
  498.    wt: 1:   6 Multiplication of Mixed Numbers
  499.    wt: 1:   6 Multiplication Algebraically Take II
  500.    wt: 1:   2 Unit Fraction Multiplication
  501.    wt: 1:   A Associative Law Theorectical Note
  502.    wt: 1:   13 Subtraction with Additive Inverse
  503.    wt: 1:   12 Adding Integers More Examples
  504.    wt: 1:   11 Adding Integers Formulas and Examples
  505.    wt: 1:   8 Multiplication by Signed Numbers Integers
  506.    wt: 1:   6 Multiplication by Natural Numbers
  507.    wt: 1:   3 Adding Movements with same direction
  508.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  509.    wt: 1:   21 Remainder Arithmetic Modulo 3
  510.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  511.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  512.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  513.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  514.    wt: 1:   1 Remainder Arithmetic Modulo 10
  515.    wt: 1:   16 video Factors of 980 using prime
  516.    wt: 1:   14 video Factors of 24 Take II
  517.    wt: 1:   13 video Factors of 24 using prime
  518.    wt: 1:   12 LCD GCD and LCM using Primes
  519.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  520.    wt: 1:   2 Prime and Composites less than 16
  521.    wt: 1:   Division with Counts and Length
  522.    wt: 1:   Long Division forwards and backwards Example 3
  523.    wt: 1:   Long Division forwards and backwards Example 1
  524.    wt: 1:   12 Why Long Division Works Take III
  525.    wt: 1:   11 Another Single Digit Divisor Example
  526.    wt: 1:   10 Division by Five Long and Short Ways
  527.    wt: 1:   8 Correcting the Mistake
  528.    wt: 1:   C Counting Areas with Powers of Ten
  529.    wt: 1:   A Elementary Basis for Multiplication Methods
  530.    wt: 1:   4 Two and Three Digit Multipliers
  531.    wt: 1:   2 One Digit Multipliers
  532.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  533.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  534.    wt: 1:   Subtraction with J Conversions Example
  535.    wt: 1:   Subtraction Another Video Lesson
  536.    wt: 1:   8 Subtraction with Units of Measure
  537.    wt: 1:   5 A Tip for Efficent Subtraction
  538.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  539.    wt: 1:   2 Subtraction Easy Case Examples
  540.    wt: 1:   8 What skills and work habits to require
  541.    wt: 1:   3. How to add with decimals A sans conversions
  542.    wt: 1:   2 Decimal Counting Practices
  543.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  544.    wt: 1:   Formula Evaluation how to show work
  545.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  546.    wt: 1:   015 School and work day counting tables
  547.    wt: 1:   013 Travel Time Tables
  548.    wt: 1:   2 Time and Date Matters in School
  549.    wt: 1:   1 Intro of Kids To Time Date Skills
  550.    wt: 1:   Example 2 volume of a cone
  551.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  552.    wt: 1:   Example 4 with x function of y
  553.    wt: 1:   Example 2
  554.    wt: 1:   Area Between Curves Lesson Take 2
  555.    wt: 1:   2 Indefinite Integrals Exercises
  556.    wt: 1:   2 Second derivative test prequel
  557.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  558.    wt: 1:   30Chain Rule A Proof
  559.    wt: 1:   29 Chain Rule Optional Reading
  560.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  561.    wt: 1:   26 Chain Rule Recognising outer inner functions
  562.    wt: 1:   25 Chain Rule Animated Examples Continued
  563.    wt: 1:   24 Chain Rule Animated Examples
  564.    wt: 1:   23 Chain Rule in general
  565.    wt: 1:   19 Chain Rule for linear functions
  566.    wt: 1:   14 sine and cosine derivatives 2nd step
  567.    wt: 1:   12 Quotient rule examples
  568.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  569.    wt: 1:   11 Limits at infinity Three Examples
  570.    wt: 1:   3 Decimal insights for limits continuity convergence
  571.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  572.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  573.    wt: 1:   G.5 Motions With Bounded Velocities
  574.    wt: 1:   G.3 Constant Difference Theorem Proof
  575.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  576.    wt: 1:   F.5b Extreme Value Theorem
  577.    wt: 1:   F.5a Equicontinuity Theorems
  578.    wt: 1:   F.4 Finite Covering Theorem
  579.    wt: 1:   F.3 Intermediate Value Theorem
  580.    wt: 1:   D2 Limits of Monotone Sequences
  581.    wt: 1:   B3 Bolzano Weierstrass Theorem
  582.    wt: 1:   PostScript For and Against Decimal Perspectives
  583.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  584.    wt: 1:   Chapter 23 Links To Trigonometry
  585.    wt: 1:   Chapter 21 Arrow Addition
  586.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  587.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  588.    wt: 1:   Chapter 12. Units and Slopes
  589.    wt: 1:   Chapter 10 Slopes and Units
  590.    wt: 1:   Chapter 2. Slopes and Ski Trails
  591.    wt: 1:   Foreword
  592.    wt: 1:   Postscript More on Better Performance
  593.    wt: 1:   Appendix E. How To Study Mathematics and Why
  594.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  595.    wt: 1:   Chapter 30 Truth Tables
  596.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  597.    wt: 1:   Chapter 28 Occurrence Tables
  598.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  599.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  600.    wt: 1:   Chapter 21. Third Reading Guide
  601.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  602.    wt: 1:   Chapter 16. Painless Theorem Proving
  603.    wt: 1:   Chapter 12. Shorthand Usage Guide
  604.    wt: 1:   Chapter 10 Describing and Changing Calculations
  605.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  606.    wt: 1:   Solutions For Arithmetic Exercises
  607.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  608.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  609.    wt: 1:   Foreword
  610.    wt: 1:   Postscript B Mathematics Education References
  611.    wt: 1:   Postscript A Three Remarks
  612.    wt: 1:   Chapter 12 Four Phases
  613.    wt: 1:   Chapter 10 Transition
  614.    wt: 1:   Chapter 9 The Two Ends
  615.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  616.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  617.    wt: 1:   Chapter 3 Algebra Difficulties
  618.    wt: 1:   Foreword
  619.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  620.    wt: 1:   Postscript C Consistency as a Tool for Reason
  621.    wt: 1:   Chapter 24 Direct and Indirect Reason
  622.    wt: 1:   Chapter 23 Truth Tables
  623.    wt: 1:   Chapter 21 Occurrence Tables
  624.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  625.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  626.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  627.    wt: 1:   Chapter 10 Responsibility
  628.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  629.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  630.    wt: 1:   Chapter 2 Skill Development
  631.    wt: 1:   Three Remarks
  632.    wt: 1:   Foreword
  633.    wt: 1:   S Adding words to algebra
  634.    wt: 1:   O On Learning Mathematics and Science
  635.    wt: 1:   I. Logic and language skills
  636.    wt: 1:   F. The student teacher tutor feedback loop
  637.    wt: 1:   D. Check work a must with a caution
  638.    wt: 1:   How to Build Skills and Confidence
  639.    wt: 1:   Chapter 6 More Algebra and Geometry
  640.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  641.    wt: 1:   Chapter 3 Algebra Starter Lessons
  642.    wt: 1:   Chapter 2 Why Sets
  643.    wt: 1:   7 Games and Activities for Instruction
  644.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  645.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  646.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  647.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  648.    wt: 1:   Mathematics Education References
  649.    wt: 1:   Mathematics Education References
  650.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  651.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  652.    wt: 1:   More Algebra and Slope based Calculus Preview
  653.    wt: 1:   Systematic Algebra Skill Development Missing Links
  654.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  655.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

1146 matches:

  1.    wt: 9:   Appendix 2 primary school Arithmetic 01
  2.    wt: 9:   Skills Chapter 3 Algebra
  3.    wt: 9:   11 pure mathematics
  4.    wt: 9:   9 combinatorics probability sets
  5.    wt: 9:   8 analytic geometry etc
  6.    wt: 9:   7 logic review and decimals an odd combination
  7.    wt: 9:   6 polynomials etc
  8.    wt: 9:   5 logarithms and exponentials etc
  9.    wt: 9:   3 Euclidean Geometry Leanly
  10.    wt: 9:   why bother
  11.    wt: 9:   three goals to set for students
  12.    wt: 9:   Secondary Three Mathematics
  13.    wt: 9:   Secondary Two Mathematics
  14.    wt: 9:   Secondary One Mathematics
  15.    wt: 9:   three difficulties
  16.    wt: 9:   mathematics curriculum shifts
  17.    wt: 9:   teaching tutoring algebraic reason
  18.    wt: 9:   Lessening Algebra Difficulties
  19.    wt: 9:   05 13 OldSiteEntrancePage
  20.    wt: 9:   Four ways to improve education reform
  21.    wt: 9:   Leaner mathematics curriculum
  22.    wt: 9:   2 Conductance Resistance Duality02
  23.    wt: 9:   12 Goals and Objectives For Mathematics
  24.    wt: 9:   2 Reading and Writing Skills
  25.    wt: 9:   Ages 12 to 14 Geometry
  26.    wt: 9:   Ages 12 to 14 Arithmetic
  27.    wt: 9:   Ages 9 to 10
  28.    wt: 9:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  29.    wt: 9:   sign monoticity analysis example 2
  30.    wt: 9:   26 Function definitions done and coming
  31.    wt: 9:   25 Absolute Value greatest integer and saw tooth functions
  32.    wt: 9:   24 Monotoncity Injectivity and Inverse Functions
  33.    wt: 9:   23 Inverse Functions
  34.    wt: 9:   21 Graphs of functions given by Horizontal Line Method
  35.    wt: 9:   12 Function Domain Recognition Exercises
  36.    wt: 9:   10 Interval Notation
  37.    wt: 9:   9 Set theory term relation possible origins
  38.    wt: 9:   7 Functions with finite domains
  39.    wt: 9:   6 Set Existence Formation and Notation
  40.    wt: 9:   4 Function notation in and beyond mathematics
  41.    wt: 9:   3 Formula or function graphing exercise
  42.    wt: 9:   Introduction Reading Guide
  43.    wt: 9:   11 Growth and Decay in Biology
  44.    wt: 9:   12 motivation for term arctan
  45.    wt: 9:   2 Graphing y=Af(x) Vertical Scaling
  46.    wt: 9:   Construction Methods and Criteria for Isometric and Similar Triangles
  47.    wt: 9:   D Straight Lines Slope from Coordinates Examples
  48.    wt: 9:   C Straight Lines Slope from Coordinates
  49.    wt: 9:   B Straight Line Slope Scaling Properties More
  50.    wt: 9:   A Straight Line Slope Scaling Properties
  51.    wt: 9:   13 Straight Lines Finding Equations from 2 points
  52.    wt: 9:   12 Straight Lines Graphing mx plus b
  53.    wt: 9:   11 Straight Lines Graphing y=mx
  54.    wt: 9:   10 Straight Lines through Origin Equations More
  55.    wt: 9:   9 Straight Lines through Origin Equations
  56.    wt: 9:   7 Tangent Function is odd on this domain
  57.    wt: 9:   5 Tangent Function Graph
  58.    wt: 9:   4 Tangent Function Properties
  59.    wt: 9:   3 Straight Lines Slope as Tangent of Inclination Angle
  60.    wt: 9:   26 Formulas for products of sines and cosines
  61.    wt: 9:   21 sine and cosine Half Angle Formulas
  62.    wt: 9:   5 sines and cosines for reference angle 60 degrees
  63.    wt: 9:   3 sines and cosines for reference angle 90 degrees
  64.    wt: 9:   21 Logarithms Powers and Exponentials
  65.    wt: 9:   13 Trig Formulas for dot and cross Products
  66.    wt: 9:   6 Field Properties of Complex Number
  67.    wt: 9:   5 An Easy Proof of the Distributive Law
  68.    wt: 9:   5 Trigonometric Ratios For Tangent and Special Triangles
  69.    wt: 9:   4 Trigonometric Ratios For Two Special Triangles
  70.    wt: 9:   2 Similar Triangles Equality of Corresponding Side Ratios
  71.    wt: 9:   Why Trigonometry the whyslopes view
  72.    wt: 9:   10 Pythagorean plane distance formula
  73.    wt: 9:   19 Right Triangle Similarity
  74.    wt: 9:   18 Triangle Similarity Take 1
  75.    wt: 9:   17 Right Bisectors of Triangle Sides
  76.    wt: 9:   16 Angles Subtended By Chords and Diameters
  77.    wt: 9:   14 Parallel Lines Postulate
  78.    wt: 9:   13 Angle Side Angle Failure
  79.    wt: 9:   11 Triangle Construction Fails
  80.    wt: 9:   A Measurement with Ruler Proper Use
  81.    wt: 9:   6 Figuring with Maps Not to Scale
  82.    wt: 9:   2 Measuring Area Directly
  83.    wt: 9:   musings do not puiblish real numbers
  84.    wt: 9:   4 A Brief Story of numbers and algebra
  85.    wt: 9:   2 Square Roots with Prime
  86.    wt: 9:   8 GCD from Euclidean Algorithm
  87.    wt: 9:   6 GCD from Prime
  88.    wt: 9:   5 Common Divisors 60 45 via Prime
  89.    wt: 9:   4 LCM of 8 and 10 via Prime
  90.    wt: 9:   2 Least Common Multiple LCM intro via list method
  91.    wt: 9:   1 Counting and Counting Methods I
  92.    wt: 9:   7 Converting or Changing Units
  93.    wt: 9:   15 Adding and Subtracting with Unlike Denominators
  94.    wt: 9:   14 Adding and Subtracting with Like Denominators
  95.    wt: 9:   13 Fraction Comparison Algebraic View
  96.    wt: 9:   12 Fraction Comparison
  97.    wt: 9:   11 Simplification an Algebraic View
  98.    wt: 9:   10 Simplification of Fractions and Mixed Numerals
  99.    wt: 9:   9 Improper Fractions and Mixed Numbers
  100.    wt: 9:   6 Multiplication of Mixed Numbers
  101.    wt: 9:   6 Multiplication Algebraically Take II
  102.    wt: 9:   Fraction Operations by Raising Terms A Simple Innovation
  103.    wt: 9:   D Remainders Modulo 11 Pair Rule
  104.    wt: 9:   C Divisibility by 11 Integer Recognition Method
  105.    wt: 9:   B Integer Long Division Multiple Choices
  106.    wt: 9:   15 Remainder Arithmetic Modulo 9 Example
  107.    wt: 9:   14 Remainder Arithmetic Modulo 9 Example
  108.    wt: 9:   13 Remainder Arithmetic Modulo 5 Example
  109.    wt: 9:   11 Remainder Arithmetic Long Division by 5 Quickly more
  110.    wt: 9:   9 Remainder Arithmetic Divisibility by 5
  111.    wt: 9:   7 Remainder Arithmetic Modulo 5 Examples I
  112.    wt: 9:   11 Place Value SI Standard International way
  113.    wt: 9:   The 12 Times Table Visually
  114.    wt: 9:   Example 1 volume of a pyramid
  115.    wt: 9:   Area Between Curves Lesson Take 2
  116.    wt: 9:   Area Between Curves Lesson Take 1
  117.    wt: 9:   5 Area Under Curve Exercise
  118.    wt: 9:   4 Definite Integrals Evaluation Exercises
  119.    wt: 9:   3 Two Chain Rule Method Exercises
  120.    wt: 9:   4 Second derivative test exercise example
  121.    wt: 9:   3 Second derivative test
  122.    wt: 9:   34 Derivative of exponential function
  123.    wt: 9:   33 Chain Rule Real Player video examples
  124.    wt: 9:   31 Derivatives of inverse functions
  125.    wt: 9:   25 Chain Rule Animated Examples Continued
  126.    wt: 9:   24 Chain Rule Animated Examples
  127.    wt: 9:   17 Derivatives of quotients of sine and cosine
  128.    wt: 9:   13 sine and cosine derivatives 1st step
  129.    wt: 9:   13 Limits with Parameters and Derivatives Take II
  130.    wt: 9:   9 Limits Continuity and Composition
  131.    wt: 9:   8 Four Animated Examples
  132.    wt: 9:   7 Evaluation by immediate or delayed substitution
  133.    wt: 9:   6 Continuity at a point
  134.    wt: 9:   5 Jumps and absence of unlimited error control
  135.    wt: 9:   4 Numerical properties
  136.    wt: 9:   1 Numerical introduction
  137.    wt: 9:   Appendix E. How To Study Mathematics and Why
  138.    wt: 9:   Appendix B. How To Learn
  139.    wt: 9:   Appendix A. Reading Guide For Next Appendices
  140.    wt: 9:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  141.    wt: 9:   Chapter 16. Painless Theorem Proving
  142.    wt: 9:   Postscript Unifying Theme A Fourth Skill For Algebra
  143.    wt: 9:   Solutions For Arithmetic Exercises
  144.    wt: 9:   Chapter 6 Change of Language
  145.    wt: 9:   Chapter 5 Islands and Divisions of Knowledge
  146.    wt: 9:   Chapter 4 Longer Chains of Reason
  147.    wt: 9:   Chapter 3 Chains of Reason
  148.    wt: 9:   Chapter 2 For and Against Mathematics
  149.    wt: 9:   V Reasons and Motivations for Logic and Mathematics
  150.    wt: 9:   Chapter 2 Why Sets
  151.    wt: 9:   7 Games and Activities for Instruction
  152.    wt: 9:   6 Measuring via counting or arithmetic the role of fractions
  153.    wt: 9:   1 From Number Recognition and Counting to Arithmetic A
  154.    wt: 8:   Appendix 1 primary and preschool mathematic
  155.    wt: 8:   G LAMP Introduction Problem Solving Skills
  156.    wt: 8:   E LAMP Introduction Modern Mathematics
  157.    wt: 8:   C LAMP Introduction Culture in Mathematics Education
  158.    wt: 8:   Skills Chapter 5 Calculus
  159.    wt: 8:   Skills Chapter 4 Logic
  160.    wt: 8:   Ramblings Extrinsic numbers theory
  161.    wt: 8:   Skills Chapter 1 Arithmetic
  162.    wt: 8:   website reviews
  163.    wt: 8:   Teach the teachers plus goals
  164.    wt: 8:   permissions for teachers
  165.    wt: 8:   activities for students
  166.    wt: 8:   links Education Resources online
  167.    wt: 8:   About site lesson plans
  168.    wt: 8:   key notes and themes
  169.    wt: 8:   Mathematics Education Professors
  170.    wt: 8:   teacher certification
  171.    wt: 8:   mathematics in context
  172.    wt: 8:   Education Reform Inconsistencies
  173.    wt: 8:   teaching tips
  174.    wt: 8:   standards for course material
  175.    wt: 8:   formal or informal peer review
  176.    wt: 8:   mathematics instruction in general
  177.    wt: 8:   Education in mathematics science and technology
  178.    wt: 8:   How to be a better instructor
  179.    wt: 8:   Motivation and Context Problem
  180.    wt: 8:   education an empirical art
  181.    wt: 8:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  182.    wt: 8:   B Energy Power02
  183.    wt: 8:   C Electromotive force conventional current02
  184.    wt: 8:   27 Graduated Correction and Penalties for Young Offenders
  185.    wt: 8:   25 Mathematics Education Leaving A Good Impression
  186.    wt: 8:   24 Standards For Skill Develoment Take II
  187.    wt: 8:   24 Standards For Skill Develoment
  188.    wt: 8:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  189.    wt: 8:   10 Ends values for work study instruction
  190.    wt: 8:   Ages 8 to 9
  191.    wt: 8:   Ages 7 to 8
  192.    wt: 8:   Ages 6 to 7
  193.    wt: 8:   Ages 4 plus to 5 plus
  194.    wt: 8:   Ages 3 plus to 4 plus
  195.    wt: 8:   17 Function maxima minima and their location
  196.    wt: 8:   8 Set view of relations and functions
  197.    wt: 8:   1 Geometric Introduction of Function Notation
  198.    wt: 8:   A Quadratics Summary
  199.    wt: 8:   9 quadratics physical and further context
  200.    wt: 8:   8 quadratics backward use of various formulas
  201.    wt: 8:   7 quadratic formulla derivation
  202.    wt: 8:   5 quadratics completing the square
  203.    wt: 8:   2 quadratics graphing in general
  204.    wt: 8:   8 Notes for instructors or tutors
  205.    wt: 8:   2 Column Multiplication Method
  206.    wt: 8:   Rewriting algebraic substitution as function substitutions
  207.    wt: 8:   10 arctan left inverse of tangent Definition
  208.    wt: 8:   12 From Applied To Pure Mathematics
  209.    wt: 8:   2 Signed Coordinates
  210.    wt: 8:   Vector and Complex Number Applet
  211.    wt: 8:   4 graphing y=Asin(x c)
  212.    wt: 8:   3 graphing y=f(x c) plus K
  213.    wt: 8:   1 graphing y=f(x a)
  214.    wt: 8:   SAS Method For Isometric Or Proportional Triangle Construction
  215.    wt: 8:   Straight Lines ASA Intersection Study More
  216.    wt: 8:   Straight Lines Instersection Solving Equations
  217.    wt: 8:   14 Straight Lines Equations General Case
  218.    wt: 8:   1 Straight Lines Slope Concept
  219.    wt: 8:   29 secant cosecant and cotangent for acute angles
  220.    wt: 8:   28 Expressing products of sines cosines as sums
  221.    wt: 8:   25 tangent double angle formula Slope connection
  222.    wt: 8:   24 tangent Angle Difference Formula
  223.    wt: 8:   20 sine and cosine Double Angle Formulas
  224.    wt: 8:   12 Graph of tangent function for one period
  225.    wt: 8:   6 sines and cosines for reference angle 30 degrees
  226.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  227.    wt: 8:   15 Pythagorean Theorem Converse
  228.    wt: 8:   11 sine and cosine double triple angle formulas
  229.    wt: 8:   8 Unit Circle Development of Trigonometry
  230.    wt: 8:   7 Second Way to Calculate Products
  231.    wt: 8:   4 Multiplication Properties
  232.    wt: 8:   3 Addition Properties
  233.    wt: 8:   1 Rectangular Polar Coordinates Review
  234.    wt: 8:   8 Triangles Cascade Problem Solving
  235.    wt: 8:   7 Trignometric Ratios Unit Circle
  236.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  237.    wt: 8:   3 Trigonometric Ratios sine and cosine
  238.    wt: 8:   1 Angle Measurement with Degrees
  239.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  240.    wt: 8:   12 Triangles Similarity More Problems
  241.    wt: 8:   2 Similarity By Design
  242.    wt: 8:   12 Links Lessons elsewhere
  243.    wt: 8:   10 Midpoint of [a b] and [b a]
  244.    wt: 8:   8 Mid Point Formula
  245.    wt: 8:   5 Algebraic View of Slopes
  246.    wt: 8:   3 Slope product for perpendicular lines
  247.    wt: 8:   1 Numerical view of lines and their equations
  248.    wt: 8:   What is and is not here
  249.    wt: 8:   12 Spatial Coordinates
  250.    wt: 8:   9 Pythagorean Theorem Chinese Square Proof
  251.    wt: 8:   7 Complex Numbers Appetizer
  252.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  253.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  254.    wt: 8:   4 Angles on Maps Plans drawn to scale
  255.    wt: 8:   3 Lengths and Areas on Maps and Plans
  256.    wt: 8:   1 Length Measurement
  257.    wt: 8:   Simple Exercises
  258.    wt: 8:   6 Three Notions of What is a Variable
  259.    wt: 8:   5 Talking about Numbers and Quantities
  260.    wt: 8:   2 What is a Variable
  261.    wt: 8:   About Folder Contents
  262.    wt: 8:   5 Square Roots with primes more still
  263.    wt: 8:   4 Square Roots with primes more
  264.    wt: 8:   3 Properties of Square Roots with example
  265.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
  266.    wt: 8:   13 GCD from given Prime Factorization
  267.    wt: 8:   7 GCD and LCM from prime factorization
  268.    wt: 8:   LCM 60 45 Avoid List Method Use Prime
  269.    wt: 8:   1 Least Common Multiples LCM Introduction
  270.    wt: 8:   19 Dividing Fractions How TO
  271.    wt: 8:   17 Efficient Ways to Add and Subtract
  272.    wt: 8:   16 Addition Subtraction Comparision Compared
  273.    wt: 8:   8 Numerals Fractionals Quantals Take II
  274.    wt: 8:   7 Numerals Fractionals Quantals
  275.    wt: 8:   5 Equivalent Fractions
  276.    wt: 8:   4 Fraction Multiplication
  277.    wt: 8:   3 Unit fraction of a fraction
  278.    wt: 8:   1 What is a fraction Take II
  279.    wt: 8:   1 What is a fraction
  280.    wt: 8:   Quick history of numbers and algebra
  281.    wt: 8:   Practical Methods Ends and Values for Arithmetic
  282.    wt: 8:   About folder contents
  283.    wt: 8:   A Related Material in Volume 3
  284.    wt: 8:   G.2 Lipshitz Conditions Integration Calculus Reform
  285.    wt: 8:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  286.    wt: 8:   Chapter 22 Complex Numbers
  287.    wt: 8:   Chapter 20 Vectors and Complex Numbers
  288.    wt: 8:   Appendix D. What to do in School and Why
  289.    wt: 8:   Appendix C. How to Read
  290.    wt: 8:   Chapter 31 Direct and Indirect Reason
  291.    wt: 8:   Chapter 19. Functions and Sets
  292.    wt: 8:   Chapter 15. Solving Linear Equations
  293.    wt: 8:   Chapter 13. Second Reading Guide
  294.    wt: 8:   Chapter 11. Why Shorthand
  295.    wt: 8:   Postscript What is a Variable
  296.    wt: 8:   L Skills with take home value
  297.    wt: 8:   G. Written work formats for developing and showing skill
  298.    wt: 8:   How to Build Skills and Confidence
  299.    wt: 8:   Appendix A Calculus with Proofs for Keen or Gifted
  300.    wt: 8:   Chapter 6 More Algebra and Geometry
  301.    wt: 8:   Chapter 4 Logic for Reading Writing and Geometry etc
  302.    wt: 8:   Chapter 3 Algebra Starter Lessons
  303.    wt: 8:   5 Interpreting and Drawing Maps and Plans.
  304.    wt: 8:   4 Money Matters Saving Earning Buying Selling and Budgets
  305.    wt: 8:   3 Telling Tracking Time Temporal and More Place Sense
  306.    wt: 8:   1 From Number Recognition and Counting to Arithmetic B
  307.    wt: 7:   K LAMP Musings Science Education
  308.    wt: 7:   J LAMP Introduction Extrinsic Origins
  309.    wt: 7:   I LAMP Introduction Study Habits
  310.    wt: 7:   H LAMP Introduction Instructional Concepts
  311.    wt: 7:   F LAMP Introduction Prerequisites
  312.    wt: 7:   B LAMP Introduction Curriculum Development Standards
  313.    wt: 7:   A Introduction Objectives
  314.    wt: 7:   Ramblings Introduction Algebra Essay
  315.    wt: 7:   which way to go
  316.    wt: 7:   Math Ed if it must be short make it lean effective
  317.    wt: 7:   site origins
  318.    wt: 7:   site eurekas
  319.    wt: 7:   learning takes time
  320.    wt: 7:   what should be learnt and When
  321.    wt: 7:   Maps Plans Drawings
  322.    wt: 7:   how letters appear
  323.    wt: 7:   What to Tell Students
  324.    wt: 7:   Operational Viewpoint to Value
  325.    wt: 7:   Theory of Knowledge
  326.    wt: 7:   Different Kinds of Reasoning in maths
  327.    wt: 7:   cultivating intelligence
  328.    wt: 7:   2 Energy Power Heat07
  329.    wt: 7:   H Series Circuit02
  330.    wt: 7:   B Electromotive force conventional current01
  331.    wt: 7:   23 Modularized Skill Development Modularized Rigor Take IV
  332.    wt: 7:   23 Modularized Skill Development Modularized Rigor Take III
  333.    wt: 7:   23 Modularized Skill Development Modularized Rigor Take II
  334.    wt: 7:   23 Modularized Skill Development Modularized Rigor
  335.    wt: 7:   19 Extending the Oral Dimension of Mathematics
  336.    wt: 7:   8 The Effect of Negative Remarks
  337.    wt: 7:   5 Patience Please for Yourself and Your Charges
  338.    wt: 7:   4 Learning Takes Time and Effort
  339.    wt: 7:   3 Preparing for Science Studies
  340.    wt: 7:   1 Speaking Skills
  341.    wt: 7:   sign monoticity analysis example 4
  342.    wt: 7:   sign monoticity analysis example 3
  343.    wt: 7:   sign monoticity analysis example 1
  344.    wt: 7:   19 Horizontal line rule and method
  345.    wt: 7:   18 Vertical Line Rule and Method
  346.    wt: 7:   16 Increasing or decreasing on intervals
  347.    wt: 7:   15 Sign analysis of functions
  348.    wt: 7:   14 Surjections Injections Bijections
  349.    wt: 7:   13 From one to one to many to one
  350.    wt: 7:   11 Function Domain Range Source and Targets
  351.    wt: 7:   10 quadratic exercises
  352.    wt: 7:   6 quadratics numerical approach
  353.    wt: 7:   4 quadratics difference of two squares
  354.    wt: 7:   3 quadratics factoring by inspection
  355.    wt: 7:   1 quadratics graphing exercises
  356.    wt: 7:   7 Links Lessons Elsewhere
  357.    wt: 7:   6 Polynomial Operations and Equivalent Computation Rules
  358.    wt: 7:   5 Polynomials Long division Nonlinear divisor
  359.    wt: 7:   4 Polynomials Long division linear divisor
  360.    wt: 7:   3 Polynomials Multiplication Addition
  361.    wt: 7:   1 Polynomials Distributive Law
  362.    wt: 7:   14 secant function Definition Graph and Inverse
  363.    wt: 7:   13 cosecant function Definition Graph and Inverse
  364.    wt: 7:   11 arctan left inverse of tangent Graph
  365.    wt: 7:   9 motivation for name arcsin
  366.    wt: 7:   4 possible motivation for term arccos
  367.    wt: 7:   2 cosine function more properties
  368.    wt: 7:   9 Summary Degrees to Radians and back
  369.    wt: 7:   1 Degrees and Radians Introduction
  370.    wt: 7:   10 Parallelogram Addition Method
  371.    wt: 7:   6 Vectors with Coordinates
  372.    wt: 7:   3 Navigation with Arrows or Vectors
  373.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  374.    wt: 7:   Straight Lines ASA Intersection Study
  375.    wt: 7:   Straight Lines Intersection of
  376.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  377.    wt: 7:   30 unit circle calculation of six trigonometric functions
  378.    wt: 7:   27 Logarithmic use of products of sines and cosines
  379.    wt: 7:   17E Trig Formulas for dot and cross Products
  380.    wt: 7:   17D cis formulas for sine cosines and tangent
  381.    wt: 7:   17A The complex number valued trig function cis
  382.    wt: 7:   10 Graphs of sines and cosines many periods
  383.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  384.    wt: 7:   2 Quadrant I reference Angles
  385.    wt: 7:   Unit Circle Development of Trigonometry
  386.    wt: 7:   19 N th Roots of Unity
  387.    wt: 7:   18 Sixth Roots of Unity
  388.    wt: 7:   17 Cube Roots of unity
  389.    wt: 7:   16 References and Originality Question
  390.    wt: 7:   14 Law of cosines
  391.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  392.    wt: 7:   9 Similarity of Triangles Usual Criteria
  393.    wt: 7:   4 Similarity Definition with Coordinate
  394.    wt: 7:   9 Midpoint Coordinates Half Endpoint Sum
  395.    wt: 7:   7 Exercises to test skill and concept mastery
  396.    wt: 7:   6 Intersection of lines by solving linear systems
  397.    wt: 7:   13 Pythagorean spatial distance formulas
  398.    wt: 7:   8 Distance Between Points on a Line
  399.    wt: 7:   6 Polar Multiplication and Rotation
  400.    wt: 7:   5 Cartesian Addition and Translation
  401.    wt: 7:   4 Polar Coordinates to and from
  402.    wt: 7:   3 Rectangular Coordinates Review
  403.    wt: 7:   1 Cartesian Coordinates sans signs
  404.    wt: 7:   3 Adding Words To Arithmetic
  405.    wt: 7:   1 Squares and Square Roots Introduction
  406.    wt: 7:   18 Efficient Ways to Multiply
  407.    wt: 7:   Formula Evaluation how to show work
  408.    wt: 7:   F.2 Closed Range Theorem
  409.    wt: 7:   E2 Algebraic Properties of Limits
  410.    wt: 7:   Postscript Pythagorean Theorem yet another proof
  411.    wt: 7:   Foreword
  412.    wt: 7:   Chapter 22 Contrapositive and Vacuously True Implications
  413.    wt: 7:   Chapter 20 Shorthand Symbols as Pronouns
  414.    wt: 7:   R Why Learn Mathematics Skills
  415.    wt: 7:   P Exact Arithmetic With Whole Numbers and Fractions
  416.    wt: 7:   N Mathematics Prepare for College Studies
  417.    wt: 7:   I. Logic and language skills
  418.    wt: 7:   F. The student teacher tutor feedback loop
  419.    wt: 7:   D. Check work a must with a caution
  420.    wt: 7:   B. Domino effect of errors
  421.    wt: 7:   Chapter 8 Skipped Topics and Why
  422.    wt: 7:   Chapter 7 Calculus Previews and Calculus Lightly
  423.    wt: 7:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  424.    wt: 7:   Chapter 1 Arithmetic
  425.    wt: 7:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  426.    wt: 7:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  427.    wt: 7:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  428.    wt: 7:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  429.    wt: 6:   modern education
  430.    wt: 6:   grouping students according to ability
  431.    wt: 6:   five decades make a difference
  432.    wt: 6:   liens
  433.    wt: 6:   problemes algebre et arithmetique
  434.    wt: 6:   Trois Notions qui menent a algebre
  435.    wt: 6:   deux definitions pour variable
  436.    wt: 6:   logique deux enigme
  437.    wt: 6:   4 Energy Power Heat09
  438.    wt: 6:   3 Energy Power Heat08
  439.    wt: 6:   1 Energy Power Heat06
  440.    wt: 6:   E Energy Power05
  441.    wt: 6:   D Energy Power04
  442.    wt: 6:   C Energy Power03
  443.    wt: 6:   A Energy Power01
  444.    wt: 6:   D Wire Resistance Calculation02
  445.    wt: 6:   B Wire Resistance Qualitative02
  446.    wt: 6:   2 Unlike resistors in parallel01
  447.    wt: 6:   G Series Circuit01
  448.    wt: 6:   18 Primary School Mathematics
  449.    wt: 6:   17 Math Booklets for children and young teenagers
  450.    wt: 6:   16 Secondary Mathematics Tips
  451.    wt: 6:   15 Counting For Parents
  452.    wt: 6:   9 Streaming by Student Cooperation
  453.    wt: 6:   7 Student Motivation
  454.    wt: 6:   6 Discipline Who is in Charge Conserving Authority
  455.    wt: 6:   16 cotangent function Definition Graph and Inverse
  456.    wt: 6:   15 cosecant function Definition Graph and Inverse
  457.    wt: 6:   8 arcsin left inverse of sine Graph
  458.    wt: 6:   7 arcsin left inverse of sine Definition
  459.    wt: 6:   6 Graph of arccos function
  460.    wt: 6:   5 Swapping Coordinates is a reflection
  461.    wt: 6:   3 Left Inverse of cosine arccos definition
  462.    wt: 6:   1 cosine function properties
  463.    wt: 6:   2 Radian Measure Numerical Value of one degree
  464.    wt: 6:   A Global Time and Navigation
  465.    wt: 6:   9 Head to Tail Coordinate View
  466.    wt: 6:   8 Parallel Vectors
  467.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  468.    wt: 6:   5 Head To Tail Arrow Addition
  469.    wt: 6:   4 Resultant of a Sum of Movements
  470.    wt: 6:   1 Unsigned Coordinates
  471.    wt: 6:   Triangle Angles Sum To 180 Degrees
  472.    wt: 6:   Parallel Lines and Interior Angles
  473.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  474.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  475.    wt: 6:   32 seven rows of pascals triangle
  476.    wt: 6:   31 basic secant cosecant cotangent trig identities
  477.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  478.    wt: 6:   17G Pythagorean Theorem Converse
  479.    wt: 6:   17C sine and cosine double triple angle formulas
  480.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  481.    wt: 6:   13 Graph of tangent function many periods
  482.    wt: 6:   11 tangent function undefined when terminal side vertical
  483.    wt: 6:   9 Graphs of sine and cosine over one period
  484.    wt: 6:   8 period of tangent function
  485.    wt: 6:   7 period of sine and cosine
  486.    wt: 6:   1 Unit Points Reflections Rotations
  487.    wt: 6:   11 Triangle Similarity Missing Side Problem
  488.    wt: 6:   10 Similarity of Triangles Equivalent of Two Criteria
  489.    wt: 6:   3 Similarity by Design with coordinates
  490.    wt: 6:   1 Early Concept of Like or Similar Shapes
  491.    wt: 6:   Four Simple Exercises
  492.    wt: 6:   11 A Partial Summary
  493.    wt: 6:   11 Triangle Inequality
  494.    wt: 6:   Exact Arithmetic Wholes and Fractions
  495.    wt: 6:   Expression Evaluation how to show work
  496.    wt: 6:   A Related lessons in Volume 3
  497.    wt: 6:   G.1 First Fundamental Theorem of Calculus
  498.    wt: 6:   G.6 Bounded Derivatives implies Lipshitz Continuity
  499.    wt: 6:   G.2 Differentiable Functions Mean Value Theorem
  500.    wt: 6:   F.4 Finite Covering Theorem
  501.    wt: 6:   D2 Limits of Monotone Sequences
  502.    wt: 6:   B3 Bolzano Weierstrass Theorem
  503.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
  504.    wt: 6:   Chapter 2. Slopes and Ski Trails
  505.    wt: 6:   Fall 1983 Calculus Appetizer
  506.    wt: 6:   Foreword
  507.    wt: 6:   Chapter 12 Four Phases
  508.    wt: 6:   Chapter 10 Transition
  509.    wt: 6:   Chapter 9 The Two Ends
  510.    wt: 6:   Chapter 6 Rule Based Reason in Mathematics
  511.    wt: 6:   Chapter 4 Complex Numbers and Why Slopes
  512.    wt: 6:   Chapter 3 Algebra Difficulties
  513.    wt: 6:   Chapter 19 What is in chapters 20 to 24
  514.    wt: 6:   Chapter 2 Skill Development
  515.    wt: 6:   Three Remarks
  516.    wt: 6:   Foreword
  517.    wt: 6:   S Adding words to algebra
  518.    wt: 6:   O On Learning Mathematics and Science
  519.    wt: 6:   J. More on written work and showing skill
  520.    wt: 6:   H Jigsaw puzzles and problem solving
  521.    wt: 6:   E. When and how to correct errors
  522.    wt: 6:   C. Domino effect of being careful
  523.    wt: 6:   A. Skill has to be seen to believed
  524.    wt: 6:   Helping the Blind in Logic and Mathematics
  525.    wt: 6:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  526.    wt: 6:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  527.    wt: 5:   problemes responses
  528.    wt: 5:   1 Conductance Resistance Duality01
  529.    wt: 5:   F Wire Resistance Calculation04
  530.    wt: 5:   E Wire Resistance Calculation03
  531.    wt: 5:   C Wire Resistance Calculation01
  532.    wt: 5:   A Wire Resistance Qualitative01
  533.    wt: 5:   3 Like resistors in parallel
  534.    wt: 5:   1 Like resistors in series
  535.    wt: 5:   F Unlike Resistors in Series
  536.    wt: 5:   E Kirchoffs Second Law
  537.    wt: 5:   D Kirchoff First Law
  538.    wt: 5:   A Circuit Elements
  539.    wt: 5:   Home Tutoring and Home Schooling
  540.    wt: 5:   14 Multiplication and Times Tables
  541.    wt: 5:   13 Addition and Addition Tables
  542.    wt: 5:   11 Help and Defend Your Child or Teens Education
  543.    wt: 5:   8 Radian Measures of Common Angles
  544.    wt: 5:   7 Radian Measures in special Triangles
  545.    wt: 5:   6 Radian Measure to Degrees
  546.    wt: 5:   5 Degrees to Radian Measure
  547.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  548.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  549.    wt: 5:   15 Dot and Cross Product
  550.    wt: 5:   14 Why Scalar Multiplication Distributes Physical Argument
  551.    wt: 5:   13 Velocity Vectors in Physics
  552.    wt: 5:   11 Component Method
  553.    wt: 5:   Parallel Lines and Parallel Transversals
  554.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  555.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  556.    wt: 5:   17 tangent function angle sum formulas
  557.    wt: 5:   18 sum of sinusoidal waves as a single wave
  558.    wt: 5:   17F Law of cosines
  559.    wt: 5:   16 Right Triangle Complementary Angle Relations
  560.    wt: 5:   15 sine cosine Complementary Angle Relations
  561.    wt: 5:   14 cosine even and sine and tangent are odd
  562.    wt: 5:   8 Similarity of Triangles and Polygons
  563.    wt: 5:   7 Translations Rotations Reflections Dilatations
  564.    wt: 5:   6 Geometric Diagrams in Class
  565.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  566.    wt: 5:   About Folder Contents
  567.    wt: 5:   arithmetic videos Real Player Format
  568.    wt: 5:   G.5 Motions With Bounded Velocities
  569.    wt: 5:   G.3 Constant Difference Theorem Proof
  570.    wt: 5:   G.1 Differentiable Functions Rolles Theorem
  571.    wt: 5:   F.5b Extreme Value Theorem
  572.    wt: 5:   F.5a Equicontinuity Theorems
  573.    wt: 5:   F.3 Intermediate Value Theorem
  574.    wt: 5:   F.1 What Functions are Continuous
  575.    wt: 5:   E1 Error Control Inequalities
  576.    wt: 5:   D1 Sets and Sequences GLBs and LGBs
  577.    wt: 5:   C Triangle Inequalities
  578.    wt: 5:   PostScript For and Against Decimal Perspectives
  579.    wt: 5:   A1. Introduction
  580.    wt: 5:   Chapter 24 Logarithms Powers and Exponentials
  581.    wt: 5:   Chapter 23 Links To Trigonometry
  582.    wt: 5:   Chapter 21 Arrow Addition
  583.    wt: 5:   Chapter 12. Units and Slopes
  584.    wt: 5:   Chapter 10 Slopes and Units
  585.    wt: 5:   Chapter 1.Introduction
  586.    wt: 5:   Postscript B Mathematics Education References
  587.    wt: 5:   Postscript A Three Remarks
  588.    wt: 5:   Chapter 8 Modern Instruction
  589.    wt: 5:   Chapter 7 Two Treatments of Geometry
  590.    wt: 5:   Chapter 5 Four References
  591.    wt: 5:   Chapter 1 Introduction
  592.    wt: 5:   Postscript D Reflections on Law of the Excluded Middle
  593.    wt: 5:   Postscript C Consistency as a Tool for Reason
  594.    wt: 5:   Chapter 24 Direct and Indirect Reason
  595.    wt: 5:   Chapter 23 Truth Tables
  596.    wt: 5:   Chapter 21 Occurrence Tables
  597.    wt: 5:   Chapter 12 Islands and Divisions of Knowledge
  598.    wt: 5:   Chapter 10 Responsibility
  599.    wt: 5:   Chapter 9 What is in Chapters 10 to 18
  600.    wt: 5:   Chapter 4 Implication Rules Forwards and Backwards
  601.    wt: 5:   Q How Logic and Proofs extend Show Work Practices
  602.    wt: 5:   M Words to extend arithmetic
  603.    wt: 5:   N Improving Marks on Tests and Finals
  604.    wt: 5:   H more Routine to non routine problem solving
  605.    wt: 5:   Mathematics Education References
  606.    wt: 5:   Ends Values Methods For Skill Development Framework Prequel
  607.    wt: 5:   Multiple Ways to Improve Mathematics Skill Development
  608.    wt: 5:   More Algebra and Slope based Calculus Preview
  609.    wt: 5:   Systematic Algebra Skill Development Missing Links
  610.    wt: 5:   Which Way To Go
  611.    wt: 4:   G.4 Lipschitz Continuity implies EquiContinuity
  612.    wt: 4:   Chapter 15. Algebraic Evaluation of Limits
  613.    wt: 4:   Chapter 14 Limits and Continuity with and sans Decimals
  614.    wt: 4:   Chapter 9 About First Courses in Calculus
  615.    wt: 4:   Chapter 8. Slope Interpretation
  616.    wt: 4:   Chapter 7 Slopes and Velocity
  617.    wt: 4:   Chapter 6. Slopes and Vertical Shifts
  618.    wt: 4:   Chapter 5. Slope Sign Tests
  619.    wt: 4:   Chapter 4. More Slope Sign Analysis
  620.    wt: 4:   Chapter 3. Slope Sign Analysis
  621.    wt: 4:   Annotated Links to Material Elsehwere
  622.    wt: 4:   Chapter 11 Elementary Instruction
  623.    wt: 4:   Postscript B More on Story Telling and Reason
  624.    wt: 4:   Postscript A Story Telling
  625.    wt: 4:   Chapter 14 Deductive and Empirical Views of Mathematics
  626.    wt: 4:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  627.    wt: 4:   Chapter 8 Change of Language
  628.    wt: 4:   Chapter 7 Longer Chains of Reason
  629.    wt: 4:   Chapter 6 Chains of Reason
  630.    wt: 4:   Chapter 5 Deception
  631.    wt: 4:   Chapter 3 What is in chapters 4 to 8
  632.    wt: 4:   Chapter 1 Introduction
  633.    wt: 4:   Mathematics Education References
  634.    wt: 4:   Implementation Notes
  635.    wt: 4:   Talking pdf files for online lessons a webvideo alternative
  636.    wt: 4:   The Math Forum and Site Content
  637.    wt: 3:   Postscript One Sided and Intermediate Value Theorems
  638.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  639.    wt: 3:   Chapter 18. Slopes Areas Integration
  640.    wt: 3:   Chapter 17. Area Approximation
  641.    wt: 3:   Chapter 16. Velocity Approximation
  642.    wt: 3:   Chapter 15. Slope Approximation
  643.    wt: 3:   Chapter 13. Acceleration
  644.    wt: 3:   Chapter 11. Graphing Slope versus Position
  645.    wt: 3:   Chapter 18 Sense and Knowledge
  646.    wt: 3:   Chapter 17 Objective Ways Trial and Error Discovery
  647.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  648.    wt: 3:   Chapter 15 Objective Processes
  649.    wt: 3:   Chapter 11 Accidental Patterns
  650.    wt: 3:   1 Links to Online Resources Elsewhere Take 1
  651.    wt: 3:   Site Reviews
  652.    wt: 2:   Road Safety Questions
  653.    wt: 20:   2 Three Examples
  654.    wt: 19:   2 Division with Single Digit Divisors
  655.    wt: 19:   9 22 Minute Subtraction Review Video
  656.    wt: 19:   7 Subtraction for Decimal Fractions with Exercises
  657.    wt: 19:   6 Subtraction with Conversion Example with Exercises
  658.    wt: 19:   2 Subtraction Easy Case Examples
  659.    wt: 18:   2 Essentially one exercises three with solution
  660.    wt: 18:   6 Algebraic Solution Example
  661.    wt: 18:   5 Algebraic Solutions Introduction
  662.    wt: 18:   4 Division with 2 Digit Divsors
  663.    wt: 18:   2 One Digit Multipliers
  664.    wt: 18:   Appendix 2 Three Decimal Subtraction Methods
  665.    wt: 18:   8 Subtraction with Units of Measure
  666.    wt: 18:   5 A Tip for Efficent Subtraction
  667.    wt: 18:   4 Subtraction with Conversions Borrows and Letter J
  668.    wt: 18:   4. How to add with decimals B with conversions
  669.    wt: 18:   2 Decimal Counting Practices
  670.    wt: 17:   4 Four Examples Fractional Coefficients
  671.    wt: 17:   3 Four Examples
  672.    wt: 17:   1 Proper Equal Sign Usage
  673.    wt: 17:   2 Another Rectangle Area Formula Example
  674.    wt: 17:   Long Division forwards and backwards Example 2
  675.    wt: 17:   12 Why Long Division Works Take III
  676.    wt: 17:   10 Division by Five Long and Short Ways
  677.    wt: 17:   8 Correcting the Mistake
  678.    wt: 17:   C Counting Areas with Powers of Ten
  679.    wt: 17:   A Elementary Basis for Multiplication Methods
  680.    wt: 17:   4 Two and Three Digit Multipliers
  681.    wt: 17:   3 Harder Cases Convert to Compare and Subtract
  682.    wt: 17:   1 Comparison and Subtraction Easy Direct Cases
  683.    wt: 17:   8 What skills and work habits to require
  684.    wt: 17:   3. How to add with decimals A sans conversions
  685.    wt: 16:   9 Circle Area and Perimeter Formula Backwards Forwards
  686.    wt: 16:   2 Three Examples
  687.    wt: 16:   1 Written work formats for developing and showing skill
  688.    wt: 16:   11 Another Single Digit Divisor Example
  689.    wt: 16:   9 Why Long Division Works Take II
  690.    wt: 16:   7 Long Divison Mistake Catching
  691.    wt: 16:   6 Why Decimal Long Division Methods Works Take I
  692.    wt: 16:   5 Long Division Include Zeroes or not
  693.    wt: 16:   3 Division Single Digit Divisor Example
  694.    wt: 16:   1 Divsion Physical Examples
  695.    wt: 16:   D Decimal Multiplication Methods Derived
  696.    wt: 16:   B Powers of Ten
  697.    wt: 16:   6 Multiplication Commutes Order Not Important
  698.    wt: 16:   5 Decimal Fraction Multiplication
  699.    wt: 16:   3 More One Digit Multipliers
  700.    wt: 16:   Video Decimal Multiplication Geometric View Example 2
  701.    wt: 16:   Video Decimal Multiplication Geometric View Example 2
  702.    wt: 16:   Video Power Notation in Decimal Expansion
  703.    wt: 16:   1 Why 3 times 5 gives 15
  704.    wt: 16:   Appendix 1 Decimals Comparison Method Take II
  705.    wt: 16:   Subtraction with J Conversions Example
  706.    wt: 16:   Subtraction Another Video Lesson
  707.    wt: 16:   7 Adding decimal fractions using decimal point
  708.    wt: 16:   6. Counting and adding units and mixed units
  709.    wt: 16:   5. How to add decimals C. Examples
  710.    wt: 16:   1. Explaining Addition Table
  711.    wt: 15:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  712.    wt: 15:   8 Pythagorean Relation Forwards Backwards
  713.    wt: 15:   7 Pythagorean Theorem Chinese Square Proof
  714.    wt: 15:   6 Compound Interest Forward and Backwards
  715.    wt: 15:   5 Triangle Area Formula Backwards
  716.    wt: 15:   4 Rectangle Area and Like Formulas Backwards
  717.    wt: 15:   2 Linear Equation Literal Solution
  718.    wt: 15:   5 Gaussian Elimination for 3 unknowns 2nd example
  719.    wt: 15:   2 GE II Comparison
  720.    wt: 15:   13 Naming Identifying Formulas with Words
  721.    wt: 15:   8 Compound Interest Formula Evaluation
  722.    wt: 15:   7 Compound Interest Formula Introduction
  723.    wt: 15:   5 Box Volume Formula Example
  724.    wt: 15:   4 Circle Area Formula Example
  725.    wt: 15:   3 Triangle Area Formula Example
  726.    wt: 15:   2 More and Less Than with Unlike Signs
  727.    wt: 15:   2 signed and unsigned numbers as coordinates
  728.    wt: 15:   Long Division Backwards more
  729.    wt: 15:   Long Division Backward
  730.    wt: 15:   Long Division forwards and backwards Example 3
  731.    wt: 15:   Appendix 1 Counting Revisited 15 minute video
  732.    wt: 14:   chapitre 02 00 La Communication des idees
  733.    wt: 14:   22 Multiplication of Signed Numbers
  734.    wt: 14:   12 Real Numbers Line Signed Coordinates
  735.    wt: 14:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  736.    wt: 14:   2 Algebraic View
  737.    wt: 14:   3 Linear Equation Literal Solution More
  738.    wt: 14:   1 Changing Calculations
  739.    wt: 14:   12 Real Number Additive Inverses or Negatives
  740.    wt: 14:   10 Real Number Lengths and Signs
  741.    wt: 14:   4 Solving a triangular system exercise
  742.    wt: 14:   3 Solving triangular system example
  743.    wt: 14:   1 Essentially One Unknown
  744.    wt: 14:   10 One Example
  745.    wt: 14:   9 Three Examples
  746.    wt: 14:   6 Three Examples
  747.    wt: 14:   5 Three Examples
  748.    wt: 14:   12 Cone Cylinder Sphere Lesson Idea
  749.    wt: 14:   10 Volume of Pyramid
  750.    wt: 14:   9 Volume of Cone
  751.    wt: 14:   6 Pythagorean Hypotenuse Calculation Example
  752.    wt: 14:   10 dividing signed numbers
  753.    wt: 14:   3 signed coordinates for maps and planes
  754.    wt: 14:   20 Uniqueness of Prime Factorization
  755.    wt: 14:   Division with Counts and Length
  756.    wt: 14:   Long Division forwards and backwards Example 1
  757.    wt: 14:   2 Groups of Three Place Value for Multidigit Decimals
  758.    wt: 14:   016 Numbering Occidental Calendar Days
  759.    wt: 14:   014 Counting Days with Calendars
  760.    wt: 14:   012 Division of Time Intervals by Time Intervals
  761.    wt: 14:   011 Division of Time Intervals By Numbers
  762.    wt: 14:   010 Repeated Addition of Time Intervals
  763.    wt: 14:   2 Time and Date Matters in School
  764.    wt: 14:   1 Intro of Kids To Time Date Skills
  765.    wt: 13:   2 arithmetic with signed numbers
  766.    wt: 13:   02 20 mathematics education references
  767.    wt: 13:   chapitre 12 00 les iles et division
  768.    wt: 13:   chapitre 07 01 principle D induction mathematique
  769.    wt: 13:   chapitre 07 00 Des chaines plus longues de la raison
  770.    wt: 13:   chapitre 06 00 Chaines de la raison
  771.    wt: 13:   chapitre 05 00 Deception
  772.    wt: 13:   chapitre 04 02 Deuxieme enigme
  773.    wt: 13:   chapitre 04 00 Les regles d implication
  774.    wt: 13:   chapitre 01 00 Introduction
  775.    wt: 13:   9 Formulas for Real Exponents with Logarithms
  776.    wt: 13:   8 Formulas for Fractional Exponents with Logarithms
  777.    wt: 13:   7 Formulas for Roots with Logarithms Derivation
  778.    wt: 13:   6 Formulas for Even and Odd Roots with Logarithms
  779.    wt: 13:   24 Signed Numbers Arithmmetic Properties
  780.    wt: 13:   21 Addition of Multiples of a Single Vector
  781.    wt: 13:   17 Arrows Rotate to Reverse with Length Unchanged
  782.    wt: 13:   14 Vector Head to Tail Sums and Resultants
  783.    wt: 13:   11 Signed Number Addition and Addition Properties
  784.    wt: 13:   2 Combing Counts Addition Skills and Principles
  785.    wt: 13:   3 Inequalities Algebraically
  786.    wt: 13:   2 Fraction Operations Physical Development
  787.    wt: 13:   2 More and Less Than for Counts and Measures
  788.    wt: 13:   16 Real Numbers Comparison
  789.    wt: 13:   15 Real Number Division
  790.    wt: 13:   14 Real Number Multiplication
  791.    wt: 13:   13 Real Number Subtraction
  792.    wt: 13:   11 Real Number Addition
  793.    wt: 13:   5 Rational Numbers More
  794.    wt: 13:   4 Rational Numbers
  795.    wt: 13:   2 Integers
  796.    wt: 13:   1 Whole and Natural Numbers
  797.    wt: 13:   4 GE III Animated Examples
  798.    wt: 13:   3 Gaussian Elimination 3 unknowns first example
  799.    wt: 13:   3 GE III Equation Addition and Multiplication
  800.    wt: 13:   1 GE Substitution four examples
  801.    wt: 13:   8 One Example
  802.    wt: 13:   7 Two Examples
  803.    wt: 13:   4 Two Examples
  804.    wt: 13:   3 Two Examples
  805.    wt: 13:   Formula Usage Show Work Format
  806.    wt: 13:   11 Volume of Sphere
  807.    wt: 13:   8 Sets of Numbers
  808.    wt: 13:   3 Counting with Sets etc
  809.    wt: 13:   2 Venn Diagrams
  810.    wt: 13:   3 Comparison of Negative Numbers
  811.    wt: 13:   1 More and Less Than for Counts and Measures
  812.    wt: 13:   10 Euclid Algorithm with 129 125 and with 45 14
  813.    wt: 13:   12 GCD 2700 288 via Prime
  814.    wt: 13:   9 subtracting signed numbers
  815.    wt: 13:   8 multiplying signed numbers
  816.    wt: 13:   6 adding signed numbers
  817.    wt: 13:   5 lengths and signs of numbers
  818.    wt: 13:   4 signed coordinates for regions in space
  819.    wt: 13:   27 Divisibility by 2 3 6 5 9 10 Example
  820.    wt: 13:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  821.    wt: 13:   10 video Prime Factorization upto 23 squared
  822.    wt: 13:   2 Prime and Composites less than 16
  823.    wt: 13:   10 Names for Big Numbers and Powers of Ten Expansion
  824.    wt: 13:   015 School and work day counting tables
  825.    wt: 13:   013 Travel Time Tables
  826.    wt: 13:   9 Comparison and Subtraction of Time Intervals
  827.    wt: 13:   8 Addition of Time Intervals via subtotaling
  828.    wt: 13:   7 Addition of Time Intervals
  829.    wt: 13:   6 How long is a million seconds
  830.    wt: 13:   5 Conversion Arithmetic
  831.    wt: 13:   4 Mixing and Changing Units of Time
  832.    wt: 13:   3 Units and Lengths of Time
  833.    wt: 13:   Chapter 22. Geometric Sums and Sequences
  834.    wt: 13:   Chapter 8 Three Skills For Algebra
  835.    wt: 12:   Applied Maths Program14092009 POMME variant
  836.    wt: 12:   Postscript 2007 01 10
  837.    wt: 12:   three goals for Mathematics Education
  838.    wt: 12:   02 21 words for teachers
  839.    wt: 12:   chapitre 04 10 Etapes pour une meilleur raison
  840.    wt: 12:   chapitre 04 09 Regles accidentelles
  841.    wt: 12:   chapitre 04 08 Limitations et benefices
  842.    wt: 12:   chapitre 04 07 RepetablesEtReproductibles
  843.    wt: 12:   chapitre 04 06 engagements
  844.    wt: 12:   chapitre 04 05 Implication versus suggestion
  845.    wt: 12:   chapitre 04 04 Parlons de la logique
  846.    wt: 12:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  847.    wt: 12:   chapitre 04 01 Premiere enigme
  848.    wt: 12:   2 Square Root Simplification a prequel
  849.    wt: 12:   20 N th Roots of Complex Numbers
  850.    wt: 12:   PS H Distributive Law For Complex Numbers
  851.    wt: 12:   2 Correspondence between Triangles
  852.    wt: 12:   A Signed Number Arithmetic Review
  853.    wt: 12:   26 More Less Greater Than Comparison
  854.    wt: 12:   25 Mid way Convergence to Axiomatic Approach
  855.    wt: 12:   23 Distributive Law Two Derivations
  856.    wt: 12:   19 Signed Multiples of Vectors
  857.    wt: 12:   18 Geometrically Why Vector Addition Commutes
  858.    wt: 12:   16 Collinear Horizontal Arrows Vectors
  859.    wt: 12:   15 Head to Tails in place Addition Associative
  860.    wt: 12:   13 Arrows and Vectors in a Plane
  861.    wt: 12:   9 Division with Digits after Decimal Point
  862.    wt: 12:   7 Arithmetic with Infinite Decimal Expansions
  863.    wt: 12:   5 Fractions with Infinite Decimal Expansions
  864.    wt: 12:   2 Counting Digits in Decimal Multiplication
  865.    wt: 12:   1 Fractions with Finite Decimal Expansions
  866.    wt: 12:   5 Distributive Law for Whole Numbers
  867.    wt: 12:   1 The Counting Origins of Numbers
  868.    wt: 12:   5 Areas of Rectangles Revisited
  869.    wt: 12:   4 Fraction Operations Axiomatic Development
  870.    wt: 12:   1 Decimals Modular and Remainder Arithmetic
  871.    wt: 12:   5 Equality in Algebra
  872.    wt: 12:   3 Product Axioms Two Forms
  873.    wt: 12:   2 Addition and Multiplication Axioms
  874.    wt: 12:   4 Comparison of Negative Numbers
  875.    wt: 12:   3 More and Less Than with Unlike Signs
  876.    wt: 12:   1 Real Numbers Comparison
  877.    wt: 12:   9 Coordinates for Regions in Space
  878.    wt: 12:   8 Coordinates for Maps and Planes
  879.    wt: 12:   7 Real Numbers as Line Cordinates
  880.    wt: 12:   6 Unsigned Real Numbers
  881.    wt: 12:   3 Fractions
  882.    wt: 12:   Skill Development Notes
  883.    wt: 12:   10 Set View of Wordy Extensions To Arithmetic
  884.    wt: 12:   9 Sets in Probability and Statistics
  885.    wt: 12:   7 Cautious or Safe Set Construction
  886.    wt: 12:   6 Power Set Notation
  887.    wt: 12:   5 Product Builder Notation
  888.    wt: 12:   4 Subset Builder Notation
  889.    wt: 12:   1 Finite Sets
  890.    wt: 12:   4 Greater More Less Than Signs in General
  891.    wt: 12:   11 GCD 2700 288 via Euclid Algorithm
  892.    wt: 12:   11 What are real lengths and numbers
  893.    wt: 12:   7 negative and additive inverse
  894.    wt: 12:   10 Integer Multiplication Formulas
  895.    wt: 12:   2 Integers Multiplies of a Unit Moverment
  896.    wt: 12:   25 Divisibility Tests for 2 3 5 9 10 Example
  897.    wt: 12:   24 Divisibility Tests for 2 3 5 9 10
  898.    wt: 12:   18 Remainder Arithmetic Rule of 9 for checking sums II
  899.    wt: 12:   2 Remainder Arithmetic Modulo 10 more
  900.    wt: 12:   15 video Factors of 20 using Prime Factorization
  901.    wt: 12:   12 LCD GCD and LCM using Primes
  902.    wt: 12:   6 Sieve of Eratosthenes and Square Rule
  903.    wt: 12:   9 Place Value Review Decimal form of Avogrados number included
  904.    wt: 12:   1 Place Value in Three Digit Whole Numbers
  905.    wt: 12:   28 Chain Rule Preparation for a Proof
  906.    wt: 12:   22 Chain Rule for polynomials
  907.    wt: 12:   21 Chain Rule for powers
  908.    wt: 12:   10 Power rule for negative integers
  909.    wt: 12:   3 Motivation for Limit Definition Take 2
  910.    wt: 12:   2 Motivation for Limit Definition Take 1
  911.    wt: 12:   2 Algebraic codification
  912.    wt: 12:   Chapter 23. Notation For Sums
  913.    wt: 12:   Chapter 20. Degrees and Radians
  914.    wt: 12:   Chapter 2 Implication Rules Forwards and Backwards
  915.    wt: 11:   1 arithmetic with unsigned numbers
  916.    wt: 11:   the trouble with algebra
  917.    wt: 11:   04 29 New Mathematics Curriculum
  918.    wt: 11:   04 25 when to stop or suspend mathemat
  919.    wt: 11:   three aims for mathematics students
  920.    wt: 11:   chapitre 03 A Propos Des Prochains Chapitre
  921.    wt: 11:   Ages 12 to 14 Skills with take home value
  922.    wt: 11:   22 Square Root function graphically
  923.    wt: 11:   20 Interchanging coordinates a reflection
  924.    wt: 11:   2 Algebraic use of function notation
  925.    wt: 11:   10 Exponential Growth and Decay Models
  926.    wt: 11:   2 Straight Lines Slopes As Rise Over Run
  927.    wt: 11:   23 sine and cosine of 180 plus 22.5 degrees
  928.    wt: 11:   22 sine of 22.5 degrees via half angle formulas
  929.    wt: 11:   12 cis formulas for sine cosines and tangent
  930.    wt: 11:   2 Complex Numbers made easier we hope
  931.    wt: 11:   PS E Multiplication with Polar Coordinates
  932.    wt: 11:   PS D Addition with Cartesian Coordinates
  933.    wt: 11:   PS B Parallelogram Construction Methods
  934.    wt: 11:   21 Parallelograms
  935.    wt: 11:   12 Side Angle Side Failure
  936.    wt: 11:   10 Dropping a perpendicular to line
  937.    wt: 11:   Short Course on Euclidean Geometry
  938.    wt: 11:   8 Division and Mulplication of Compound Fractions
  939.    wt: 11:   6 Infinite Decimals Ending in 9 repeating
  940.    wt: 11:   4 Location of Point in Decimal Addition
  941.    wt: 11:   3 Location of Point in Decimal Multiplication
  942.    wt: 11:   C Three Decimal Subtraction Methods
  943.    wt: 11:   6 Column Methods for Decimal Multiplication
  944.    wt: 11:   4 Commutative Law Groups Counting Form
  945.    wt: 11:   3 Multiplicative Counting Skills Principles
  946.    wt: 11:   5 Proportionality in Equivalent Fractions
  947.    wt: 11:   4 Rates Ratios and Proporitionality
  948.    wt: 11:   3 Proportionality Examples
  949.    wt: 11:   1 What is Proportionality
  950.    wt: 11:   6 Equations and Systems Equivalent or Implied
  951.    wt: 11:   4 Subtraction and Division Axioms
  952.    wt: 11:   1 Equivalent Computation Rules
  953.    wt: 11:   5 Greater More Less Than Signs in General
  954.    wt: 11:   3 Geometric Formulas and Function Notation
  955.    wt: 11:   2 Computation Rules Evaluation
  956.    wt: 11:   1 Formulas Dependence and Function Notation
  957.    wt: 11:   Using Letters for Physical Quantities
  958.    wt: 11:   1 Three Skills For Algebra
  959.    wt: 11:   16 GCD and LCM of 650 225 via Prime
  960.    wt: 11:   2 Counting with Tables and Trees I
  961.    wt: 11:   5 Reciprocals and Division for Fractions with Units
  962.    wt: 11:   D Three Term Ratios
  963.    wt: 11:   C Equality for Fractions and Two Term Ratios and Fractions
  964.    wt: 11:   20 Dividing Fractions the Why
  965.    wt: 11:   13 Subtraction with Additive Inverse
  966.    wt: 11:   12 Adding Integers More Examples
  967.    wt: 11:   8 Multiplication by Signed Numbers Integers
  968.    wt: 11:   6 Multiplication by Natural Numbers
  969.    wt: 11:   3 Adding Movements with same direction
  970.    wt: 11:   23 Remainder Arithmetic Modulo 2
  971.    wt: 11:   22 Remainder Arithmetic Modulo 3 more
  972.    wt: 11:   19 Remainder Arithmetic Rule of 9 for checking sums III
  973.    wt: 11:   17 Remainder Arithmetic Rule of 9 for checking sums I
  974.    wt: 11:   16 Remainder Arithmetic Modulo 9 Example 2
  975.    wt: 11:   12 Remainder Arithmetic Modulo 10 Example
  976.    wt: 11:   4 Remainder Arithmetic Modulo 10 in general
  977.    wt: 11:   3 Remainder Arithmetic Modulos 10 more still
  978.    wt: 11:   1 Remainder Arithmetic Modulo 10
  979.    wt: 11:   16 video Factors of 980 using prime
  980.    wt: 11:   14 video Factors of 24 Take II
  981.    wt: 11:   13 video Factors of 24 using prime
  982.    wt: 11:   9 video Prime Factorization upto 19 squared
  983.    wt: 11:   8 video Prime Factorization upto 19
  984.    wt: 11:   7 Calculator Usage Notes and Cautions
  985.    wt: 11:   5 Prime Factorization and a Square Rule
  986.    wt: 11:   4 video Prime Factorization Introduction
  987.    wt: 11:   3 video Primes and Composites from 9 times table
  988.    wt: 11:   1 video how Products are bigger than factor
  989.    wt: 11:   8 Review Lesson 1 2 4 and 6 All in One
  990.    wt: 11:   The 20 Times Table
  991.    wt: 11:   Summary
  992.    wt: 11:   1 Two cubic sketching exercises with 1st derivative
  993.    wt: 11:   38 Formulas and derivatives for powers and roots
  994.    wt: 11:   30Chain Rule A Proof
  995.    wt: 11:   20 Chain Rule for Pulley Systems
  996.    wt: 11:   12 Quotient rule examples
  997.    wt: 11:   4 Sum Rule
  998.    wt: 11:   10 Three one sided limits with infinite values
  999.    wt: 11:   Postscript For Better Performance
  1000.    wt: 11:   Chapter 26 What is in chapters 27 to 31
  1001.    wt: 11:   Chapter 25. Mathematical Induction Examples
  1002.    wt: 11:   Foreword
  1003.    wt: 10:   Skills Chapter 2 Geometry
  1004.    wt: 10:   Skills Chapter 0 Introduction
  1005.    wt: 10:   10 statistics
  1006.    wt: 10:   4 algebra
  1007.    wt: 10:   What is POMME
  1008.    wt: 10:   talk the algebra talk
  1009.    wt: 10:   geometric implications for algebra
  1010.    wt: 10:   three kinds of reason in mathematics
  1011.    wt: 10:   need for a mixed mathematics curriculum
  1012.    wt: 10:   Prequel In For A Penny In For A Pound
  1013.    wt: 10:   fairness and inductive principles for instruction
  1014.    wt: 10:   words for mathematics instructor
  1015.    wt: 10:   22 Student Centered Highschool Mathematics
  1016.    wt: 10:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  1017.    wt: 10:   Ages 10 to 12 Geometry
  1018.    wt: 10:   Ages 10 to 12 Arithmetic
  1019.    wt: 10:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  1020.    wt: 10:   5 Function notation for geometric transformations
  1021.    wt: 10:   Quadratics in 10 steps
  1022.    wt: 10:   5 Natural Logarithm Calculator Exercises
  1023.    wt: 10:   3 Natural Logarithms and Exponentials Basic Properties
  1024.    wt: 10:   1 Calculator Starter Exercises
  1025.    wt: 10:   8 Straight Lines Equation for vertical
  1026.    wt: 10:   6 Tangent Function Inclination Angle Take 2
  1027.    wt: 10:   10 sine cosine Angle Sum Formulas via cis
  1028.    wt: 10:   9 The complex number valued trig function cis
  1029.    wt: 10:   Appetizer A Complex Number Applet
  1030.    wt: 10:   4 Equations for lines three forms
  1031.    wt: 10:   2 point slope equation for a line
  1032.    wt: 10:   2 Cartesian Coordinates with signs
  1033.    wt: 10:   Euclidean Geometry Elsewhere LINKS
  1034.    wt: 10:   PS G Rotation Distributes over Addition
  1035.    wt: 10:   PS F Scalar Multiplication Distributes over Addition
  1036.    wt: 10:   PS C Similarity Use Recognize it in Trigonometry
  1037.    wt: 10:   PS A Kite Construction Methods
  1038.    wt: 10:   15 Triangle Angle Sum is 180 degrees
  1039.    wt: 10:   9 Construction of a right bisector
  1040.    wt: 10:   8 Isoceles Triangles
  1041.    wt: 10:   7 Angle Side Angle
  1042.    wt: 10:   6 Ruler and compass Angle Bisection
  1043.    wt: 10:   5 Side Angle Side
  1044.    wt: 10:   4 Side Side Side
  1045.    wt: 10:   3 Isometry of Triangles Congruence
  1046.    wt: 10:   1 Initial Concepts and Terms
  1047.    wt: 10:   A Modular and Remainder Arithmetic
  1048.    wt: 10:   E Long Division Methods more
  1049.    wt: 10:   D Long Division Methods
  1050.    wt: 10:   B Decimal Comparison and Subtraction
  1051.    wt: 10:   A Decimal Addition Columm Methods
  1052.    wt: 10:   8 Column Multiplication Methods in General
  1053.    wt: 10:   7 Decimals Multiplication Methods Examples
  1054.    wt: 10:   5 Independent versus Dependent Variables
  1055.    wt: 10:   4 Changing Letters
  1056.    wt: 10:   More Exercises
  1057.    wt: 10:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  1058.    wt: 10:   14 GCD of 650 110 via Primes LCM via Product Rule
  1059.    wt: 10:   9 GCD of 360 110 via Primes and Euclid Algorithm
  1060.    wt: 10:   5 Counting with Tables Trees Product Rule Take II
  1061.    wt: 10:   4 Counting with Trees Product Rule Take I
  1062.    wt: 10:   3 Counting with Tables and Trees II
  1063.    wt: 10:   6 Simplification of Fractions with Units
  1064.    wt: 10:   4 Fractions with Units
  1065.    wt: 10:   3 Multiplying Units and Numbers
  1066.    wt: 10:   2 Equality and Units
  1067.    wt: 10:   1 Addition and Subtraction with Units
  1068.    wt: 10:   B Fractions and Two Term Ratios
  1069.    wt: 10:   A Similarities between Fractions and Two Term Ratios
  1070.    wt: 10:   22 Complex Compound Fractions
  1071.    wt: 10:   21 Working With Signs
  1072.    wt: 10:   21 Reciprocals for Fractions and Wholes
  1073.    wt: 10:   2 Unit Fraction Multiplication
  1074.    wt: 10:   A Associative Law Theorectical Note
  1075.    wt: 10:   11 Adding Integers Formulas and Examples
  1076.    wt: 10:   9 Multiplying Integers
  1077.    wt: 10:   7 Multiplication by Signs
  1078.    wt: 10:   5 Zero Movement and Additive Inverses
  1079.    wt: 10:   4 Adding Movements wiht opposite directions
  1080.    wt: 10:   1 Integers as Coordinates
  1081.    wt: 10:   A Decimals Modular and Remainder Arithmetic
  1082.    wt: 10:   26 Divisibility by 2 3 5 Example
  1083.    wt: 10:   21 Remainder Arithmetic Modulo 3
  1084.    wt: 10:   10 Remainder Arithmetic Long Division by 5 Quickly
  1085.    wt: 10:   8 Remainder Arithmetic Morulo 5 Examples II
  1086.    wt: 10:   6 Remainder Arithmetic Modulo 5 Propertie
  1087.    wt: 10:   5 Remainder Arithmetic Modulo 5
  1088.    wt: 10:   19 video Prime Factorization Unique
  1089.    wt: 10:   18 video Count Factors given Prime Factorization
  1090.    wt: 10:   17 Identify and Count Factors using Primes
  1091.    wt: 10:   11 Efficient Square Rule Use
  1092.    wt: 10:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  1093.    wt: 10:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  1094.    wt: 10:   5 More on Groups of 3 Place Value in Decimal Fractions
  1095.    wt: 10:   4 Groups of 3 Place Value in Decimal Fractions
  1096.    wt: 10:   3 More on Groups of 3 Multi Digit Place Value
  1097.    wt: 10:   Example 2 volume of a cone
  1098.    wt: 10:   Volume of Solid by Cross Sections Lesson
  1099.    wt: 10:   Example 1. Area Between x and x squared
  1100.    wt: 10:   Area Between Crossing Curves Lesson Take 2
  1101.    wt: 10:   Area Between Crossing Curves Lesson Take 1
  1102.    wt: 10:   Example 4 with x function of y
  1103.    wt: 10:   Example 3
  1104.    wt: 10:   Example 2
  1105.    wt: 10:   Example 1
  1106.    wt: 10:   2 Indefinite Integrals Exercises
  1107.    wt: 10:   1 Chain Rule in Reverse Integration Method
  1108.    wt: 10:   2 Second derivative test prequel
  1109.    wt: 10:   A Chain Rule Real Player video examples
  1110.    wt: 10:   36 Cube root derivative animated
  1111.    wt: 10:   29 Chain Rule Optional Reading
  1112.    wt: 10:   27 Chain Rule sinusoidal outer inner functions EGS
  1113.    wt: 10:   26 Chain Rule Recognising outer inner functions
  1114.    wt: 10:   23 Chain Rule in general
  1115.    wt: 10:   19 Chain Rule for linear functions
  1116.    wt: 10:   18 Chain Rule Introduction
  1117.    wt: 10:   16 Derivatives of reciprocals of sine and cosine
  1118.    wt: 10:   15 sine and cosine derivatives 3rd step
  1119.    wt: 10:   14 sine and cosine derivatives 2nd step
  1120.    wt: 10:   11 Quotient rule
  1121.    wt: 10:   9 Reciprocal rule
  1122.    wt: 10:   8 Differentiation of polynomials
  1123.    wt: 10:   7 Animated Differentiation Examples
  1124.    wt: 10:   6 Power rule from product rule
  1125.    wt: 10:   5 Product Rule
  1126.    wt: 10:   1 Fall 1983 Why Slopes Appetizer
  1127.    wt: 10:   12 Limits with Parameters and Derivatives Take I
  1128.    wt: 10:   11 Limits at infinity Three Examples
  1129.    wt: 10:   3 Decimal insights for limits continuity convergence
  1130.    wt: 10:   Postscript More on Better Performance
  1131.    wt: 10:   Chapter 30 Truth Tables
  1132.    wt: 10:   Chapter 29 Contrapositive and Vacuously True Implications
  1133.    wt: 10:   Chapter 28 Occurrence Tables
  1134.    wt: 10:   Chapter 27 Shorthand Symbols as Pronouns
  1135.    wt: 10:   Chapter 24. Personal Investment and Pension EGS
  1136.    wt: 10:   Chapter 21. Third Reading Guide
  1137.    wt: 10:   Chapter 18. Rules for Algebra
  1138.    wt: 10:   Chapter 14. Forward and Backward Use of a Formula
  1139.    wt: 10:   Chapter 12. Shorthand Usage Guide
  1140.    wt: 10:   Chapter 10 Describing and Changing Calculations
  1141.    wt: 10:   Chapter 9 Talking about Numbers or Quantities
  1142.    wt: 10:   Chapter 7 Prep for Calculus Arithmetic Exercises
  1143.    wt: 10:   Chapter 1 Introduction to Chapters 2 to 6
  1144.    wt: 10:   Primary and Secondary Skills and Practices with Take Home Value
  1145.    wt: 10:   2 Identifying Size and Position Place and Spatial Sense
  1146.    wt: 10:   Phase 2. More Basic Skills with likely take home value 1 to 2 years

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

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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