Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling. Avid readers in school and out may like Site Volumes.

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

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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

86 matches:

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

Web Page Search

291 matches:

  1.    wt: 5:   Applied Maths Program14092009 POMME variant
  2.    wt: 4:   Postscript 2007 01 10
  3.    wt: 4:   chapitre 01 00 Introduction
  4.    wt: 3:   Skills Chapter 0 Introduction
  5.    wt: 3:   02 20 mathematics education references
  6.    wt: 3:   chapitre 07 00 Des chaines plus longues de la raison
  7.    wt: 3:   chapitre 06 00 Chaines de la raison
  8.    wt: 3:   chapitre 05 00 Deception
  9.    wt: 3:   chapitre 04 00 Les regles d implication
  10.    wt: 3:   chapitre 02 00 La Communication des idees
  11.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  12.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  13.    wt: 3:   Chapter 9 What is in Chapters 10 to 18
  14.    wt: 2:   E LAMP Introduction Modern Mathematics
  15.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  16.    wt: 2:   04 29 New Mathematics Curriculum
  17.    wt: 2:   Leaner mathematics curriculum
  18.    wt: 2:   chapitre 12 00 les iles et division
  19.    wt: 2:   chapitre 07 01 principle D induction mathematique
  20.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  21.    wt: 2:   chapitre 04 09 Regles accidentelles
  22.    wt: 2:   chapitre 04 08 Limitations et benefices
  23.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  24.    wt: 2:   chapitre 04 06 engagements
  25.    wt: 2:   chapitre 04 05 Implication versus suggestion
  26.    wt: 2:   chapitre 04 04 Parlons de la logique
  27.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  28.    wt: 2:   chapitre 04 02 Deuxieme enigme
  29.    wt: 2:   chapitre 04 01 Premiere enigme
  30.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  31.    wt: 2:   12 From Applied To Pure Mathematics
  32.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  33.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  34.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  35.    wt: 2:   12 GCD 2700 288 via Prime
  36.    wt: 2:   010 Repeated Addition of Time Intervals
  37.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  38.    wt: 2:   Chapter 10 Slopes and Units
  39.    wt: 2:   Chapter 1.Introduction
  40.    wt: 2:   Chapter 30 Truth Tables
  41.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  42.    wt: 2:   Chapter 20. Degrees and Radians
  43.    wt: 2:   Chapter 10 Describing and Changing Calculations
  44.    wt: 2:   Chapter 10 Transition
  45.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  46.    wt: 2:   Chapter 2 For and Against Mathematics
  47.    wt: 2:   Chapter 1 Introduction
  48.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  49.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  50.    wt: 2:   Chapter 10 Responsibility
  51.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  52.    wt: 2:   Chapter 1 Introduction
  53.    wt: 1:   Appendix 2 primary school Arithmetic 01
  54.    wt: 1:   J LAMP Introduction Extrinsic Origins
  55.    wt: 1:   I LAMP Introduction Study Habits
  56.    wt: 1:   H LAMP Introduction Instructional Concepts
  57.    wt: 1:   G LAMP Introduction Problem Solving Skills
  58.    wt: 1:   F LAMP Introduction Prerequisites
  59.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  60.    wt: 1:   A Introduction Objectives
  61.    wt: 1:   Skills Chapter 5 Calculus
  62.    wt: 1:   Skills Chapter 4 Logic
  63.    wt: 1:   Ramblings Introduction Algebra Essay
  64.    wt: 1:   Skills Chapter 3 Algebra
  65.    wt: 1:   Skills Chapter 2 Geometry
  66.    wt: 1:   Skills Chapter 1 Arithmetic
  67.    wt: 1:   11 pure mathematics
  68.    wt: 1:   10 statistics
  69.    wt: 1:   3 Euclidean Geometry Leanly
  70.    wt: 1:   Math Ed if it must be short make it lean effective
  71.    wt: 1:   Mathematics Education Professors
  72.    wt: 1:   mathematics in context
  73.    wt: 1:   Secondary Three Mathematics
  74.    wt: 1:   Secondary Two Mathematics
  75.    wt: 1:   Secondary One Mathematics
  76.    wt: 1:   mathematics curriculum shifts
  77.    wt: 1:   three goals for Mathematics Education
  78.    wt: 1:   05 13 OldSiteEntrancePage
  79.    wt: 1:   04 25 when to stop or suspend mathemat
  80.    wt: 1:   02 21 words for teachers
  81.    wt: 1:   three aims for mathematics students
  82.    wt: 1:   mathematics instruction in general
  83.    wt: 1:   Education in mathematics science and technology
  84.    wt: 1:   three kinds of reason in mathematics
  85.    wt: 1:   need for a mixed mathematics curriculum
  86.    wt: 1:   words for mathematics instructor
  87.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  88.    wt: 1:   4 Energy Power Heat09
  89.    wt: 1:   3 Energy Power Heat08
  90.    wt: 1:   2 Energy Power Heat07
  91.    wt: 1:   1 Energy Power Heat06
  92.    wt: 1:   E Energy Power05
  93.    wt: 1:   D Energy Power04
  94.    wt: 1:   C Energy Power03
  95.    wt: 1:   B Energy Power02
  96.    wt: 1:   A Energy Power01
  97.    wt: 1:   2 Conductance Resistance Duality02
  98.    wt: 1:   1 Conductance Resistance Duality01
  99.    wt: 1:   F Wire Resistance Calculation04
  100.    wt: 1:   E Wire Resistance Calculation03
  101.    wt: 1:   D Wire Resistance Calculation02
  102.    wt: 1:   C Wire Resistance Calculation01
  103.    wt: 1:   B Wire Resistance Qualitative02
  104.    wt: 1:   A Wire Resistance Qualitative01
  105.    wt: 1:   2 Unlike resistors in parallel01
  106.    wt: 1:   H Series Circuit02
  107.    wt: 1:   G Series Circuit01
  108.    wt: 1:   C Electromotive force conventional current02
  109.    wt: 1:   B Electromotive force conventional current01
  110.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  111.    wt: 1:   22 Student Centered Highschool Mathematics
  112.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  113.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  114.    wt: 1:   18 Primary School Mathematics
  115.    wt: 1:   16 Secondary Mathematics Tips
  116.    wt: 1:   12 Goals and Objectives For Mathematics
  117.    wt: 1:   10 Ends values for work study instruction
  118.    wt: 1:   Ages 10 to 12 Geometry
  119.    wt: 1:   Ages 10 to 12 Arithmetic
  120.    wt: 1:   Ages 9 to 10
  121.    wt: 1:   20 Interchanging coordinates a reflection
  122.    wt: 1:   10 Interval Notation
  123.    wt: 1:   4 Function notation in and beyond mathematics
  124.    wt: 1:   1 Geometric Introduction of Function Notation
  125.    wt: 1:   Introduction Reading Guide
  126.    wt: 1:   10 quadratic exercises
  127.    wt: 1:   Quadratics in 10 steps
  128.    wt: 1:   10 Exponential Growth and Decay Models
  129.    wt: 1:   10 arctan left inverse of tangent Definition
  130.    wt: 1:   1 Degrees and Radians Introduction
  131.    wt: 1:   10 Parallelogram Addition Method
  132.    wt: 1:   Triangle Angles Sum To 180 Degrees
  133.    wt: 1:   10 Straight Lines through Origin Equations More
  134.    wt: 1:   30 unit circle calculation of six trigonometric functions
  135.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  136.    wt: 1:   20 sine and cosine Double Angle Formulas
  137.    wt: 1:   10 Graphs of sines and cosines many periods
  138.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  139.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  140.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  141.    wt: 1:   20 N th Roots of Complex Numbers
  142.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  143.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  144.    wt: 1:   10 Midpoint of [a b] and [b a]
  145.    wt: 1:   10 Pythagorean plane distance formula
  146.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  147.    wt: 1:   10 Dropping a perpendicular to line
  148.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  149.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  150.    wt: 1:   10 Real Number Lengths and Signs
  151.    wt: 1:   5 Algebraic Solutions Introduction
  152.    wt: 1:   10 One Example
  153.    wt: 1:   10 Volume of Pyramid
  154.    wt: 1:   7 Compound Interest Formula Introduction
  155.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  156.    wt: 1:   1 Squares and Square Roots Introduction
  157.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  158.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  159.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  160.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  161.    wt: 1:   5 Common Divisors 60 45 via Prime
  162.    wt: 1:   4 LCM of 8 and 10 via Prime
  163.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  164.    wt: 1:   1 Least Common Multiples LCM Introduction
  165.    wt: 1:   10 dividing signed numbers
  166.    wt: 1:   20 Dividing Fractions the Why
  167.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  168.    wt: 1:   10 Integer Multiplication Formulas
  169.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  170.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  171.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  172.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  173.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  174.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  175.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  176.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  177.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  178.    wt: 1:   1 Remainder Arithmetic Modulo 10
  179.    wt: 1:   20 Uniqueness of Prime Factorization
  180.    wt: 1:   16 video Factors of 980 using prime
  181.    wt: 1:   15 video Factors of 20 using Prime Factorization
  182.    wt: 1:   10 video Prime Factorization upto 23 squared
  183.    wt: 1:   4 video Prime Factorization Introduction
  184.    wt: 1:   10 Division by Five Long and Short Ways
  185.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  186.    wt: 1:   The 20 Times Table
  187.    wt: 1:   016 Numbering Occidental Calendar Days
  188.    wt: 1:   015 School and work day counting tables
  189.    wt: 1:   014 Counting Days with Calendars
  190.    wt: 1:   013 Travel Time Tables
  191.    wt: 1:   012 Division of Time Intervals by Time Intervals
  192.    wt: 1:   011 Division of Time Intervals By Numbers
  193.    wt: 1:   30Chain Rule A Proof
  194.    wt: 1:   20 Chain Rule for Pulley Systems
  195.    wt: 1:   18 Chain Rule Introduction
  196.    wt: 1:   10 Power rule for negative integers
  197.    wt: 1:   10 Three one sided limits with infinite values
  198.    wt: 1:   1 Numerical introduction
  199.    wt: 1:   A1. Introduction
  200.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  201.    wt: 1:   Chapter 23 Links To Trigonometry
  202.    wt: 1:   Chapter 22 Complex Numbers
  203.    wt: 1:   Chapter 21 Arrow Addition
  204.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  205.    wt: 1:   Chapter 18. Slopes Areas Integration
  206.    wt: 1:   Chapter 17. Area Approximation
  207.    wt: 1:   Chapter 16. Velocity Approximation
  208.    wt: 1:   Chapter 15. Slope Approximation
  209.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  210.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  211.    wt: 1:   Chapter 13. Acceleration
  212.    wt: 1:   Chapter 12. Units and Slopes
  213.    wt: 1:   Chapter 11. Graphing Slope versus Position
  214.    wt: 1:   Chapter 9 About First Courses in Calculus
  215.    wt: 1:   Chapter 8. Slope Interpretation
  216.    wt: 1:   Chapter 7 Slopes and Velocity
  217.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  218.    wt: 1:   Chapter 5. Slope Sign Tests
  219.    wt: 1:   Chapter 4. More Slope Sign Analysis
  220.    wt: 1:   Chapter 3. Slope Sign Analysis
  221.    wt: 1:   Chapter 2. Slopes and Ski Trails
  222.    wt: 1:   Appendix E. How To Study Mathematics and Why
  223.    wt: 1:   Chapter 31 Direct and Indirect Reason
  224.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  225.    wt: 1:   Chapter 28 Occurrence Tables
  226.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  227.    wt: 1:   Chapter 25. Mathematical Induction Examples
  228.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  229.    wt: 1:   Chapter 23. Notation For Sums
  230.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  231.    wt: 1:   Chapter 21. Third Reading Guide
  232.    wt: 1:   Chapter 19. Functions and Sets
  233.    wt: 1:   Chapter 18. Rules for Algebra
  234.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  235.    wt: 1:   Chapter 16. Painless Theorem Proving
  236.    wt: 1:   Chapter 15. Solving Linear Equations
  237.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  238.    wt: 1:   Chapter 13. Second Reading Guide
  239.    wt: 1:   Chapter 12. Shorthand Usage Guide
  240.    wt: 1:   Chapter 11. Why Shorthand
  241.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  242.    wt: 1:   Chapter 8 Three Skills For Algebra
  243.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  244.    wt: 1:   Chapter 6 Change of Language
  245.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  246.    wt: 1:   Chapter 4 Longer Chains of Reason
  247.    wt: 1:   Chapter 3 Chains of Reason
  248.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  249.    wt: 1:   Postscript B Mathematics Education References
  250.    wt: 1:   Chapter 12 Four Phases
  251.    wt: 1:   Chapter 11 Elementary Instruction
  252.    wt: 1:   Chapter 9 The Two Ends
  253.    wt: 1:   Chapter 8 Modern Instruction
  254.    wt: 1:   Chapter 7 Two Treatments of Geometry
  255.    wt: 1:   Chapter 5 Four References
  256.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  257.    wt: 1:   Chapter 3 Algebra Difficulties
  258.    wt: 1:   Chapter 24 Direct and Indirect Reason
  259.    wt: 1:   Chapter 23 Truth Tables
  260.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  261.    wt: 1:   Chapter 21 Occurrence Tables
  262.    wt: 1:   Chapter 18 Sense and Knowledge
  263.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  264.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  265.    wt: 1:   Chapter 15 Objective Processes
  266.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  267.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  268.    wt: 1:   Chapter 11 Accidental Patterns
  269.    wt: 1:   Chapter 8 Change of Language
  270.    wt: 1:   Chapter 7 Longer Chains of Reason
  271.    wt: 1:   Chapter 6 Chains of Reason
  272.    wt: 1:   Chapter 5 Deception
  273.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  274.    wt: 1:   Chapter 2 Skill Development
  275.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  276.    wt: 1:   R Why Learn Mathematics Skills
  277.    wt: 1:   O On Learning Mathematics and Science
  278.    wt: 1:   N Mathematics Prepare for College Studies
  279.    wt: 1:   Chapter 8 Skipped Topics and Why
  280.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  281.    wt: 1:   Chapter 6 More Algebra and Geometry
  282.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  283.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  284.    wt: 1:   Chapter 3 Algebra Starter Lessons
  285.    wt: 1:   Chapter 2 Why Sets
  286.    wt: 1:   Chapter 1 Arithmetic
  287.    wt: 1:   Helping the Blind in Logic and Mathematics
  288.    wt: 1:   Mathematics Education References
  289.    wt: 1:   Mathematics Education References
  290.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  291.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

1146 matches:

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

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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

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

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

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