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

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

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

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

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

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

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

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

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158 matches:

  1.    wt: 4:   Postscript 2007 01 10
  2.    wt: 3:   Applied Maths Program14092009 POMME variant
  3.    wt: 3:   chapitre 07 00 Des chaines plus longues de la raison
  4.    wt: 3:   chapitre 06 00 Chaines de la raison
  5.    wt: 3:   chapitre 05 00 Deception
  6.    wt: 3:   chapitre 04 00 Les regles d implication
  7.    wt: 3:   chapitre 02 00 La Communication des idees
  8.    wt: 3:   chapitre 01 00 Introduction
  9.    wt: 2:   02 20 mathematics education references
  10.    wt: 2:   chapitre 12 00 les iles et division
  11.    wt: 2:   chapitre 07 01 principle D induction mathematique
  12.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  13.    wt: 2:   chapitre 04 09 Regles accidentelles
  14.    wt: 2:   chapitre 04 08 Limitations et benefices
  15.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  16.    wt: 2:   chapitre 04 06 engagements
  17.    wt: 2:   chapitre 04 05 Implication versus suggestion
  18.    wt: 2:   chapitre 04 04 Parlons de la logique
  19.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  20.    wt: 2:   chapitre 04 02 Deuxieme enigme
  21.    wt: 2:   chapitre 04 01 Premiere enigme
  22.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  23.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  24.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  25.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  26.    wt: 2:   12 GCD 2700 288 via Prime
  27.    wt: 2:   010 Repeated Addition of Time Intervals
  28.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  29.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  30.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  31.    wt: 2:   Chapter 3 Algebra Starter Lessons
  32.    wt: 1:   Appendix 2 primary school Arithmetic 01
  33.    wt: 1:   Skills Chapter 5 Calculus
  34.    wt: 1:   Skills Chapter 0 Introduction
  35.    wt: 1:   10 statistics
  36.    wt: 1:   05 13 OldSiteEntrancePage
  37.    wt: 1:   04 29 New Mathematics Curriculum
  38.    wt: 1:   04 25 when to stop or suspend mathemat
  39.    wt: 1:   02 21 words for teachers
  40.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  41.    wt: 1:   4 Energy Power Heat09
  42.    wt: 1:   3 Energy Power Heat08
  43.    wt: 1:   2 Energy Power Heat07
  44.    wt: 1:   1 Energy Power Heat06
  45.    wt: 1:   E Energy Power05
  46.    wt: 1:   D Energy Power04
  47.    wt: 1:   C Energy Power03
  48.    wt: 1:   B Energy Power02
  49.    wt: 1:   A Energy Power01
  50.    wt: 1:   2 Conductance Resistance Duality02
  51.    wt: 1:   1 Conductance Resistance Duality01
  52.    wt: 1:   F Wire Resistance Calculation04
  53.    wt: 1:   E Wire Resistance Calculation03
  54.    wt: 1:   D Wire Resistance Calculation02
  55.    wt: 1:   C Wire Resistance Calculation01
  56.    wt: 1:   B Wire Resistance Qualitative02
  57.    wt: 1:   A Wire Resistance Qualitative01
  58.    wt: 1:   2 Unlike resistors in parallel01
  59.    wt: 1:   H Series Circuit02
  60.    wt: 1:   G Series Circuit01
  61.    wt: 1:   C Electromotive force conventional current02
  62.    wt: 1:   B Electromotive force conventional current01
  63.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  64.    wt: 1:   10 Ends values for work study instruction
  65.    wt: 1:   Ages 10 to 12 Geometry
  66.    wt: 1:   Ages 10 to 12 Arithmetic
  67.    wt: 1:   Ages 9 to 10
  68.    wt: 1:   20 Interchanging coordinates a reflection
  69.    wt: 1:   10 Interval Notation
  70.    wt: 1:   10 quadratic exercises
  71.    wt: 1:   Quadratics in 10 steps
  72.    wt: 1:   10 Exponential Growth and Decay Models
  73.    wt: 1:   1 Calculator Starter Exercises
  74.    wt: 1:   7 Links Lessons Elsewhere
  75.    wt: 1:   10 arctan left inverse of tangent Definition
  76.    wt: 1:   10 Parallelogram Addition Method
  77.    wt: 1:   Triangle Angles Sum To 180 Degrees
  78.    wt: 1:   10 Straight Lines through Origin Equations More
  79.    wt: 1:   30 unit circle calculation of six trigonometric functions
  80.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  81.    wt: 1:   20 sine and cosine Double Angle Formulas
  82.    wt: 1:   10 Graphs of sines and cosines many periods
  83.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  84.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  85.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  86.    wt: 1:   20 N th Roots of Complex Numbers
  87.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  88.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  89.    wt: 1:   12 Links Lessons elsewhere
  90.    wt: 1:   10 Midpoint of [a b] and [b a]
  91.    wt: 1:   10 Pythagorean plane distance formula
  92.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  93.    wt: 1:   10 Dropping a perpendicular to line
  94.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  95.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  96.    wt: 1:   10 Real Number Lengths and Signs
  97.    wt: 1:   10 One Example
  98.    wt: 1:   10 Volume of Pyramid
  99.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  100.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  101.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  102.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  103.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  104.    wt: 1:   5 Common Divisors 60 45 via Prime
  105.    wt: 1:   4 LCM of 8 and 10 via Prime
  106.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  107.    wt: 1:   10 dividing signed numbers
  108.    wt: 1:   20 Dividing Fractions the Why
  109.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  110.    wt: 1:   10 Integer Multiplication Formulas
  111.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  112.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  113.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  114.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  115.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  116.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  117.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  118.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  119.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  120.    wt: 1:   1 Remainder Arithmetic Modulo 10
  121.    wt: 1:   20 Uniqueness of Prime Factorization
  122.    wt: 1:   16 video Factors of 980 using prime
  123.    wt: 1:   15 video Factors of 20 using Prime Factorization
  124.    wt: 1:   10 video Prime Factorization upto 23 squared
  125.    wt: 1:   10 Division by Five Long and Short Ways
  126.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  127.    wt: 1:   The 20 Times Table
  128.    wt: 1:   016 Numbering Occidental Calendar Days
  129.    wt: 1:   015 School and work day counting tables
  130.    wt: 1:   014 Counting Days with Calendars
  131.    wt: 1:   013 Travel Time Tables
  132.    wt: 1:   012 Division of Time Intervals by Time Intervals
  133.    wt: 1:   011 Division of Time Intervals By Numbers
  134.    wt: 1:   A Related lessons in Volume 3
  135.    wt: 1:   30Chain Rule A Proof
  136.    wt: 1:   20 Chain Rule for Pulley Systems
  137.    wt: 1:   10 Power rule for negative integers
  138.    wt: 1:   10 Three one sided limits with infinite values
  139.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  140.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  141.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  142.    wt: 1:   Chapter 10 Slopes and Units
  143.    wt: 1:   Chapter 9 About First Courses in Calculus
  144.    wt: 1:   Fall 1983 Calculus Appetizer
  145.    wt: 1:   Chapter 30 Truth Tables
  146.    wt: 1:   Chapter 20. Degrees and Radians
  147.    wt: 1:   Chapter 10 Describing and Changing Calculations
  148.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  149.    wt: 1:   Chapter 10 Transition
  150.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  151.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  152.    wt: 1:   Chapter 10 Responsibility
  153.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  154.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  155.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  156.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  157.    wt: 1:   More Algebra and Slope based Calculus Preview
  158.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

1146 matches:

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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