Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic and Pattern Based Reason to inform and amuse.

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 material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin.

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

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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76 matches:

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

Web Page Search

392 matches:

  1.    wt: 4:   38 Formulas and derivatives for powers and roots
  2.    wt: 3:   7 negative and additive inverse
  3.    wt: 3:   10 Division by Five Long and Short Ways
  4.    wt: 3:   17 Derivatives of quotients of sine and cosine
  5.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  6.    wt: 3:   15 sine and cosine derivatives 3rd step
  7.    wt: 3:   14 sine and cosine derivatives 2nd step
  8.    wt: 3:   13 sine and cosine derivatives 1st step
  9.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  10.    wt: 3:   12 Limits with Parameters and Derivatives Take I
  11.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  12.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  13.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  14.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  15.    wt: 2:   Applied Maths Program14092009 POMME variant
  16.    wt: 2:   Education in mathematics science and technology
  17.    wt: 2:   Motivation and Context Problem
  18.    wt: 2:   fairness and inductive principles for instruction
  19.    wt: 2:   chapitre 12 00 les iles et division
  20.    wt: 2:   chapitre 06 00 Chaines de la raison
  21.    wt: 2:   12 Goals and Objectives For Mathematics
  22.    wt: 2:   11 Help and Defend Your Child or Teens Education
  23.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  24.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  25.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  26.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  27.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  28.    wt: 2:   4 Polynomials Long division linear divisor
  29.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  30.    wt: 2:   14 cosine even and sine and tangent are odd
  31.    wt: 2:   3 Lengths and Areas on Maps and Plans
  32.    wt: 2:   23 Distributive Law Two Derivations
  33.    wt: 2:   8 Division and Mulplication of Compound Fractions
  34.    wt: 2:   6 Equations and Systems Equivalent or Implied
  35.    wt: 2:   4 Subtraction and Division Axioms
  36.    wt: 2:   2 More and Less Than for Counts and Measures
  37.    wt: 2:   12 Real Number Additive Inverses or Negatives
  38.    wt: 2:   1 More and Less Than for Counts and Measures
  39.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  40.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  41.    wt: 2:   5 Zero Movement and Additive Inverses
  42.    wt: 2:   Division with Counts and Length
  43.    wt: 2:   Long Division forwards and backwards Example 3
  44.    wt: 2:   Long Division forwards and backwards Example 2
  45.    wt: 2:   Long Division forwards and backwards Example 1
  46.    wt: 2:   4 Division with 2 Digit Divsors
  47.    wt: 2:   3 Division Single Digit Divisor Example
  48.    wt: 2:   2 Division with Single Digit Divisors
  49.    wt: 2:   6. Counting and adding units and mixed units
  50.    wt: 2:   4 Second derivative test exercise example
  51.    wt: 2:   3 Second derivative test
  52.    wt: 2:   2 Second derivative test prequel
  53.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  54.    wt: 2:   36 Cube root derivative animated
  55.    wt: 2:   34 Derivative of exponential function
  56.    wt: 2:   31 Derivatives of inverse functions
  57.    wt: 2:   G.6 Bounded Derivatives implies Lipshitz Continuity
  58.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  59.    wt: 2:   PostScript For and Against Decimal Perspectives
  60.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  61.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  62.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  63.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  64.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  65.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  66.    wt: 2:   7 Games and Activities for Instruction
  67.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  68.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  69.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  70.    wt: 1:   Appendix 1 primary and preschool mathematic
  71.    wt: 1:   K LAMP Musings Science Education
  72.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  73.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  74.    wt: 1:   A Introduction Objectives
  75.    wt: 1:   7 logic review and decimals an odd combination
  76.    wt: 1:   5 logarithms and exponentials etc
  77.    wt: 1:   Math Ed if it must be short make it lean effective
  78.    wt: 1:   activities for students
  79.    wt: 1:   links Education Resources online
  80.    wt: 1:   key notes and themes
  81.    wt: 1:   Mathematics Education Professors
  82.    wt: 1:   modern education
  83.    wt: 1:   what should be learnt and When
  84.    wt: 1:   Postscript 2007 01 10
  85.    wt: 1:   Education Reform Inconsistencies
  86.    wt: 1:   five decades make a difference
  87.    wt: 1:   Secondary Three Mathematics
  88.    wt: 1:   Secondary Two Mathematics
  89.    wt: 1:   Secondary One Mathematics
  90.    wt: 1:   three goals for Mathematics Education
  91.    wt: 1:   02 20 mathematics education references
  92.    wt: 1:   standards for course material
  93.    wt: 1:   Different Kinds of Reasoning in maths
  94.    wt: 1:   cultivating intelligence
  95.    wt: 1:   Four ways to improve education reform
  96.    wt: 1:   education an empirical art
  97.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  98.    wt: 1:   chapitre 05 00 Deception
  99.    wt: 1:   chapitre 04 06 engagements
  100.    wt: 1:   chapitre 04 00 Les regles d implication
  101.    wt: 1:   chapitre 02 00 La Communication des idees
  102.    wt: 1:   chapitre 01 00 Introduction
  103.    wt: 1:   1 Energy Power Heat06
  104.    wt: 1:   B Wire Resistance Qualitative02
  105.    wt: 1:   A Wire Resistance Qualitative01
  106.    wt: 1:   C Electromotive force conventional current02
  107.    wt: 1:   B Electromotive force conventional current01
  108.    wt: 1:   Home Tutoring and Home Schooling
  109.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  110.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  111.    wt: 1:   24 Standards For Skill Develoment Take II
  112.    wt: 1:   24 Standards For Skill Develoment
  113.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  114.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  115.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  116.    wt: 1:   17 Math Booklets for children and young teenagers
  117.    wt: 1:   16 Secondary Mathematics Tips
  118.    wt: 1:   14 Multiplication and Times Tables
  119.    wt: 1:   13 Addition and Addition Tables
  120.    wt: 1:   8 The Effect of Negative Remarks
  121.    wt: 1:   7 Student Motivation
  122.    wt: 1:   5 Patience Please for Yourself and Your Charges
  123.    wt: 1:   4 Learning Takes Time and Effort
  124.    wt: 1:   2 Reading and Writing Skills
  125.    wt: 1:   26 Function definitions done and coming
  126.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  127.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  128.    wt: 1:   19 Horizontal line rule and method
  129.    wt: 1:   18 Vertical Line Rule and Method
  130.    wt: 1:   17 Function maxima minima and their location
  131.    wt: 1:   11 Function Domain Range Source and Targets
  132.    wt: 1:   8 Set view of relations and functions
  133.    wt: 1:   6 Set Existence Formation and Notation
  134.    wt: 1:   4 Function notation in and beyond mathematics
  135.    wt: 1:   9 quadratics physical and further context
  136.    wt: 1:   7 quadratic formulla derivation
  137.    wt: 1:   11 Growth and Decay in Biology
  138.    wt: 1:   10 Exponential Growth and Decay Models
  139.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  140.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  141.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  142.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  143.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  144.    wt: 1:   1 Polynomials Distributive Law
  145.    wt: 1:   16 cotangent function Definition Graph and Inverse
  146.    wt: 1:   15 cosecant function Definition Graph and Inverse
  147.    wt: 1:   14 secant function Definition Graph and Inverse
  148.    wt: 1:   13 cosecant function Definition Graph and Inverse
  149.    wt: 1:   12 motivation for term arctan
  150.    wt: 1:   9 motivation for name arcsin
  151.    wt: 1:   4 possible motivation for term arccos
  152.    wt: 1:   9 Summary Degrees to Radians and back
  153.    wt: 1:   1 Degrees and Radians Introduction
  154.    wt: 1:   A Global Time and Navigation
  155.    wt: 1:   15 Dot and Cross Product
  156.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  157.    wt: 1:   Vector and Complex Number Applet
  158.    wt: 1:   Parallel Lines and Parallel Transversals
  159.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  160.    wt: 1:   Parallel Lines and Interior Angles
  161.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  162.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  163.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  164.    wt: 1:   29 secant cosecant and cotangent for acute angles
  165.    wt: 1:   27 Logarithmic use of products of sines and cosines
  166.    wt: 1:   26 Formulas for products of sines and cosines
  167.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  168.    wt: 1:   21 sine and cosine Half Angle Formulas
  169.    wt: 1:   20 sine and cosine Double Angle Formulas
  170.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  171.    wt: 1:   17E Trig Formulas for dot and cross Products
  172.    wt: 1:   17D cis formulas for sine cosines and tangent
  173.    wt: 1:   17C sine and cosine double triple angle formulas
  174.    wt: 1:   10 Graphs of sines and cosines many periods
  175.    wt: 1:   9 Graphs of sine and cosine over one period
  176.    wt: 1:   7 period of sine and cosine
  177.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  178.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  179.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  180.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  181.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  182.    wt: 1:   21 Logarithms Powers and Exponentials
  183.    wt: 1:   16 References and Originality Question
  184.    wt: 1:   13 Trig Formulas for dot and cross Products
  185.    wt: 1:   12 cis formulas for sine cosines and tangent
  186.    wt: 1:   11 sine and cosine double triple angle formulas
  187.    wt: 1:   5 An Easy Proof of the Distributive Law
  188.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  189.    wt: 1:   3 Trigonometric Ratios sine and cosine
  190.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  191.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  192.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  193.    wt: 1:   8 Similarity of Triangles and Polygons
  194.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  195.    wt: 1:   10 Midpoint of [a b] and [b a]
  196.    wt: 1:   7 Exercises to test skill and concept mastery
  197.    wt: 1:   1 Numerical view of lines and their equations
  198.    wt: 1:   What is and is not here
  199.    wt: 1:   6 Polar Multiplication and Rotation
  200.    wt: 1:   5 Cartesian Addition and Translation
  201.    wt: 1:   4 Polar Coordinates to and from
  202.    wt: 1:   PS H Distributive Law For Complex Numbers
  203.    wt: 1:   16 Angles Subtended By Chords and Diameters
  204.    wt: 1:   6 Ruler and compass Angle Bisection
  205.    wt: 1:   1 Initial Concepts and Terms
  206.    wt: 1:   A Modular and Remainder Arithmetic
  207.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  208.    wt: 1:   15 Head to Tails in place Addition Associative
  209.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  210.    wt: 1:   13 Arrows and Vectors in a Plane
  211.    wt: 1:   11 Signed Number Addition and Addition Properties
  212.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  213.    wt: 1:   9 Division with Digits after Decimal Point
  214.    wt: 1:   E Long Division Methods more
  215.    wt: 1:   D Long Division Methods
  216.    wt: 1:   B Decimal Comparison and Subtraction
  217.    wt: 1:   5 Distributive Law for Whole Numbers
  218.    wt: 1:   4 Commutative Law Groups Counting Form
  219.    wt: 1:   3 Multiplicative Counting Skills Principles
  220.    wt: 1:   2 Combing Counts Addition Skills and Principles
  221.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  222.    wt: 1:   5 Proportionality in Equivalent Fractions
  223.    wt: 1:   4 Rates Ratios and Proporitionality
  224.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  225.    wt: 1:   6 Compound Interest Forward and Backwards
  226.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  227.    wt: 1:   2 Addition and Multiplication Axioms
  228.    wt: 1:   1 Equivalent Computation Rules
  229.    wt: 1:   4 Comparison of Negative Numbers
  230.    wt: 1:   3 More and Less Than with Unlike Signs
  231.    wt: 1:   15 Real Number Division
  232.    wt: 1:   10 Real Number Lengths and Signs
  233.    wt: 1:   8 Coordinates for Maps and Planes
  234.    wt: 1:   1 Whole and Natural Numbers
  235.    wt: 1:   3 Geometric Formulas and Function Notation
  236.    wt: 1:   1 Formulas Dependence and Function Notation
  237.    wt: 1:   3 GE III Equation Addition and Multiplication
  238.    wt: 1:   1 Written work formats for developing and showing skill
  239.    wt: 1:   9 Sets in Probability and Statistics
  240.    wt: 1:   5 Talking about Numbers and Quantities
  241.    wt: 1:   4 A Brief Story of numbers and algebra
  242.    wt: 1:   3 Comparison of Negative Numbers
  243.    wt: 1:   2 More and Less Than with Unlike Signs
  244.    wt: 1:   1 Squares and Square Roots Introduction
  245.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  246.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  247.    wt: 1:   13 GCD from given Prime Factorization
  248.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  249.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  250.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  251.    wt: 1:   7 GCD and LCM from prime factorization
  252.    wt: 1:   5 Common Divisors 60 45 via Prime
  253.    wt: 1:   4 LCM of 8 and 10 via Prime
  254.    wt: 1:   12 GCD 2700 288 via Prime
  255.    wt: 1:   3 Counting with Tables and Trees II
  256.    wt: 1:   2 Counting with Tables and Trees I
  257.    wt: 1:   1 Counting and Counting Methods I
  258.    wt: 1:   11 What are real lengths and numbers
  259.    wt: 1:   10 dividing signed numbers
  260.    wt: 1:   5 lengths and signs of numbers
  261.    wt: 1:   3 signed coordinates for maps and planes
  262.    wt: 1:   2 signed and unsigned numbers as coordinates
  263.    wt: 1:   3 Multiplying Units and Numbers
  264.    wt: 1:   2 Equality and Units
  265.    wt: 1:   1 Addition and Subtraction with Units
  266.    wt: 1:   B Fractions and Two Term Ratios
  267.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  268.    wt: 1:   21 Reciprocals for Fractions and Wholes
  269.    wt: 1:   20 Dividing Fractions the Why
  270.    wt: 1:   19 Dividing Fractions How TO
  271.    wt: 1:   17 Efficient Ways to Add and Subtract
  272.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  273.    wt: 1:   14 Adding and Subtracting with Like Denominators
  274.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  275.    wt: 1:   9 Improper Fractions and Mixed Numbers
  276.    wt: 1:   5 Equivalent Fractions
  277.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  278.    wt: 1:   B Integer Long Division Multiple Choices
  279.    wt: 1:   A Associative Law Theorectical Note
  280.    wt: 1:   13 Subtraction with Additive Inverse
  281.    wt: 1:   11 Adding Integers Formulas and Examples
  282.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  283.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  284.    wt: 1:   26 Divisibility by 2 3 5 Example
  285.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  286.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  287.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  288.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  289.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  290.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  291.    wt: 1:   18 video Count Factors given Prime Factorization
  292.    wt: 1:   17 Identify and Count Factors using Primes
  293.    wt: 1:   12 LCD GCD and LCM using Primes
  294.    wt: 1:   7 Calculator Usage Notes and Cautions
  295.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  296.    wt: 1:   5 Prime Factorization and a Square Rule
  297.    wt: 1:   3 video Primes and Composites from 9 times table
  298.    wt: 1:   2 Prime and Composites less than 16
  299.    wt: 1:   Long Division Backwards more
  300.    wt: 1:   Long Division Backward
  301.    wt: 1:   12 Why Long Division Works Take III
  302.    wt: 1:   11 Another Single Digit Divisor Example
  303.    wt: 1:   9 Why Long Division Works Take II
  304.    wt: 1:   7 Long Divison Mistake Catching
  305.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  306.    wt: 1:   5 Long Division Include Zeroes or not
  307.    wt: 1:   1 Divsion Physical Examples
  308.    wt: 1:   D Decimal Multiplication Methods Derived
  309.    wt: 1:   4 Two and Three Digit Multipliers
  310.    wt: 1:   1 Why 3 times 5 gives 15
  311.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  312.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  313.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  314.    wt: 1:   8 What skills and work habits to require
  315.    wt: 1:   11 Place Value SI Standard International way
  316.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  317.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  318.    wt: 1:   Quick history of numbers and algebra
  319.    wt: 1:   Exact Arithmetic Wholes and Fractions
  320.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  321.    wt: 1:   015 School and work day counting tables
  322.    wt: 1:   012 Division of Time Intervals by Time Intervals
  323.    wt: 1:   011 Division of Time Intervals By Numbers
  324.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  325.    wt: 1:   4 Mixing and Changing Units of Time
  326.    wt: 1:   3 Units and Lengths of Time
  327.    wt: 1:   2 Time and Date Matters in School
  328.    wt: 1:   Example 1. Area Between x and x squared
  329.    wt: 1:   10 Power rule for negative integers
  330.    wt: 1:   3 Motivation for Limit Definition Take 2
  331.    wt: 1:   2 Motivation for Limit Definition Take 1
  332.    wt: 1:   9 Limits Continuity and Composition
  333.    wt: 1:   5 Jumps and absence of unlimited error control
  334.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  335.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  336.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  337.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  338.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  339.    wt: 1:   Chapter 12. Units and Slopes
  340.    wt: 1:   Chapter 10 Slopes and Units
  341.    wt: 1:   Chapter 7 Slopes and Velocity
  342.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  343.    wt: 1:   Chapter 2. Slopes and Ski Trails
  344.    wt: 1:   Appendix E. How To Study Mathematics and Why
  345.    wt: 1:   Appendix D. What to do in School and Why
  346.    wt: 1:   Chapter 31 Direct and Indirect Reason
  347.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  348.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  349.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  350.    wt: 1:   Chapter 20. Degrees and Radians
  351.    wt: 1:   Chapter 19. Functions and Sets
  352.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  353.    wt: 1:   Chapter 12. Shorthand Usage Guide
  354.    wt: 1:   Chapter 11. Why Shorthand
  355.    wt: 1:   Chapter 10 Describing and Changing Calculations
  356.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  357.    wt: 1:   Postscript B Mathematics Education References
  358.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  359.    wt: 1:   Chapter 2 For and Against Mathematics
  360.    wt: 1:   Postscript B More on Story Telling and Reason
  361.    wt: 1:   Chapter 24 Direct and Indirect Reason
  362.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  363.    wt: 1:   Chapter 18 Sense and Knowledge
  364.    wt: 1:   Chapter 15 Objective Processes
  365.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  366.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  367.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  368.    wt: 1:   O On Learning Mathematics and Science
  369.    wt: 1:   N Improving Marks on Tests and Finals
  370.    wt: 1:   J. More on written work and showing skill
  371.    wt: 1:   I. Logic and language skills
  372.    wt: 1:   H Jigsaw puzzles and problem solving
  373.    wt: 1:   G. Written work formats for developing and showing skill
  374.    wt: 1:   E. When and how to correct errors
  375.    wt: 1:   How to Build Skills and Confidence
  376.    wt: 1:   Chapter 8 Skipped Topics and Why
  377.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  378.    wt: 1:   Chapter 6 More Algebra and Geometry
  379.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  380.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  381.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  382.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  383.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  384.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  385.    wt: 1:   Helping the Blind in Logic and Mathematics
  386.    wt: 1:   Mathematics Education References
  387.    wt: 1:   Mathematics Education References
  388.    wt: 1:   More Algebra and Slope based Calculus Preview
  389.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  390.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  391.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  392.    wt: 1:   The Math Forum and Site Content

Extended Search

1115 matches:

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