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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50 matches:

  1.    wt: 5:   11 Squares and Square Roots/
  2.    wt: 4:   Mathematics Education Essays/
  3.    wt: 4:   11 Parallel Straight Lines and Transversals/
  4.    wt: 4:   10 LCM GCD and Euclid GCD Algorithm/
  5.    wt: 3:   12 Comparison of Unsigned and Signed Numbers/
  6.    wt: 3:   1 Decimal Place Value/
  7.    wt: 3:   13 Lessons on Limits and Continuity/
  8.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  9.    wt: 2:   Volume 1A Regles et modeles/
  10.    wt: 2:   1 Five Polynomial Operations/
  11.    wt: 2:   15 Arc or Inverse Trigonometric Function/
  12.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  13.    wt: 2:   13 Vectors/
  14.    wt: 2:   12 Function Translating and Rescaling/
  15.    wt: 2:   10 Intersecting Straight Lines and Transversals/
  16.    wt: 2:   1 Maps Plans Measurement/
  17.    wt: 2:   10 Examples of Algebraic Reasoning/
  18.    wt: 2:   Step 1 Stick diagram and fractions/
  19.    wt: 2:   2 Formula Forward Use Evaluation/
  20.    wt: 2:   1 Working With Sets/
  21.    wt: 2:   A Decimal Counting and Adding Methods/
  22.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  23.    wt: 2:   Work and Study Tips/
  24.    wt: 1:   LAMP Lean Applied Mathematics Program/
  25.    wt: 1:   Archives/
  26.    wt: 1:   4 Lines and Slopes Take 1/
  27.    wt: 1:   9 Proportionality Backwards and Forwards/
  28.    wt: 1:   8 Unifying Theme For Algebra/
  29.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  30.    wt: 1:   9 Combinatorics Trees Tables and Products/
  31.    wt: 1:   8 Arithmetic with Signed Numbers/
  32.    wt: 1:   7 Arithmetic and Fractions with Units/
  33.    wt: 1:   6 Fractions and Ratios/
  34.    wt: 1:   5 Integers/
  35.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  36.    wt: 1:   3 Prime Factorization Skills/
  37.    wt: 1:   D Decimal Long Division Methods/
  38.    wt: 1:   C Decimal Multiplication Methods/
  39.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  40.    wt: 1:   2 Arithmetic with Decimals/
  41.    wt: 1:   Arithmetic and Number Theory Skills/
  42.    wt: 1:   5 Lessons on Integration/
  43.    wt: 1:   4 Lessons on Using Derivatives/
  44.    wt: 1:   38 Lessons on Calculating Derivatives/
  45.    wt: 1:   70 Calculus Starter Lessons/
  46.    wt: 1:   Volume 2 Three Skills For Algebra/
  47.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  48.    wt: 1:   Volume 1A Pattern Based Reason/
  49.    wt: 1:   Volume 1 Elements of Reason/
  50.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

523 matches:

  1.    wt: 6:   10 Ends values for work study instruction
  2.    wt: 4:   1 Written work formats for developing and showing skill
  3.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  4.    wt: 4:   Ends Values Methods For Skill Development Framework Prequel
  5.    wt: 3:   11 Help and Defend Your Child or Teens Education
  6.    wt: 3:   17E Trig Formulas for dot and cross Products
  7.    wt: 3:   17D cis formulas for sine cosines and tangent
  8.    wt: 3:   13 Trig Formulas for dot and cross Products
  9.    wt: 3:   12 cis formulas for sine cosines and tangent
  10.    wt: 3:   11 sine and cosine double triple angle formulas
  11.    wt: 3:   Formula Usage Show Work Format
  12.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  13.    wt: 3:   11 Adding Integers Formulas and Examples
  14.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  15.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  16.    wt: 3:   G. Written work formats for developing and showing skill
  17.    wt: 2:   11 pure mathematics
  18.    wt: 2:   Postscript 2007 01 10
  19.    wt: 2:   Education Reform Inconsistencies
  20.    wt: 2:   three goals for Mathematics Education
  21.    wt: 2:   02 21 words for teachers
  22.    wt: 2:   formal or informal peer review
  23.    wt: 2:   Four ways to improve education reform
  24.    wt: 2:   Prequel In For A Penny In For A Pound
  25.    wt: 2:   1 Conductance Resistance Duality01
  26.    wt: 2:   B Electromotive force conventional current01
  27.    wt: 2:   17 Math Booklets for children and young teenagers
  28.    wt: 2:   15 Counting For Parents
  29.    wt: 2:   12 Goals and Objectives For Mathematics
  30.    wt: 2:   Ages 12 to 14 Skills with take home value
  31.    wt: 2:   Ages 12 to 14 Geometry
  32.    wt: 2:   Ages 12 to 14 Arithmetic
  33.    wt: 2:   Ages 10 to 12 Geometry
  34.    wt: 2:   Ages 10 to 12 Arithmetic
  35.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  36.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  37.    wt: 2:   11 Function Domain Range Source and Targets
  38.    wt: 2:   5 Function notation for geometric transformations
  39.    wt: 2:   11 Growth and Decay in Biology
  40.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  41.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  42.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  43.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  44.    wt: 2:   12 motivation for term arctan
  45.    wt: 2:   11 arctan left inverse of tangent Graph
  46.    wt: 2:   11 Component Method
  47.    wt: 2:   11 Straight Lines Graphing y=mx
  48.    wt: 2:   17 tangent function angle sum formulas
  49.    wt: 2:   26 Formulas for products of sines and cosines
  50.    wt: 2:   21 sine and cosine Half Angle Formulas
  51.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  52.    wt: 2:   17C sine and cosine double triple angle formulas
  53.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  54.    wt: 2:   12 Graph of tangent function for one period
  55.    wt: 2:   11 tangent function undefined when terminal side vertical
  56.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  57.    wt: 2:   11 Triangle Similarity Missing Side Problem
  58.    wt: 2:   11 A Partial Summary
  59.    wt: 2:   4 Equations for lines three forms
  60.    wt: 2:   13 Pythagorean spatial distance formulas
  61.    wt: 2:   11 Triangle Inequality
  62.    wt: 2:   10 Pythagorean plane distance formula
  63.    wt: 2:   18 Triangle Similarity Take 1
  64.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  65.    wt: 2:   11 Triangle Construction Fails
  66.    wt: 2:   11 Signed Number Addition and Addition Properties
  67.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  68.    wt: 2:   11 Real Number Addition
  69.    wt: 2:   1 Formulas Dependence and Function Notation
  70.    wt: 2:   13 Naming Identifying Formulas with Words
  71.    wt: 2:   11 Volume of Sphere
  72.    wt: 2:   1 Three Skills For Algebra
  73.    wt: 2:   1 More and Less Than for Counts and Measures
  74.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  75.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  76.    wt: 2:   11 What are real lengths and numbers
  77.    wt: 2:   21 Working With Signs
  78.    wt: 2:   21 Reciprocals for Fractions and Wholes
  79.    wt: 2:   11 Simplification an Algebraic View
  80.    wt: 2:   D Remainders Modulo 11 Pair Rule
  81.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  82.    wt: 2:   10 Integer Multiplication Formulas
  83.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  84.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  85.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  86.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  87.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  88.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  89.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  90.    wt: 2:   1 Remainder Arithmetic Modulo 10
  91.    wt: 2:   11 Efficient Square Rule Use
  92.    wt: 2:   Long Division forwards and backwards Example 1
  93.    wt: 2:   12 Why Long Division Works Take III
  94.    wt: 2:   11 Another Single Digit Divisor Example
  95.    wt: 2:   1 Why 3 times 5 gives 15
  96.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  97.    wt: 2:   11 Place Value SI Standard International way
  98.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  99.    wt: 2:   Formula Evaluation how to show work
  100.    wt: 2:   015 School and work day counting tables
  101.    wt: 2:   011 Division of Time Intervals By Numbers
  102.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  103.    wt: 2:   38 Formulas and derivatives for powers and roots
  104.    wt: 2:   21 Chain Rule for powers
  105.    wt: 2:   19 Chain Rule for linear functions
  106.    wt: 2:   13 sine and cosine derivatives 1st step
  107.    wt: 2:   11 Quotient rule
  108.    wt: 2:   10 Power rule for negative integers
  109.    wt: 2:   2 Motivation for Limit Definition Take 1
  110.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  111.    wt: 2:   11 Limits at infinity Three Examples
  112.    wt: 2:   10 Three one sided limits with infinite values
  113.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  114.    wt: 2:   Chapter 11. Graphing Slope versus Position
  115.    wt: 2:   Postscript For Better Performance
  116.    wt: 2:   Chapter 18. Rules for Algebra
  117.    wt: 2:   Chapter 11. Why Shorthand
  118.    wt: 2:   Chapter 11 Elementary Instruction
  119.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  120.    wt: 2:   Chapter 11 Accidental Patterns
  121.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  122.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  123.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  124.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  125.    wt: 1:   Appendix 2 primary school Arithmetic 01
  126.    wt: 1:   Appendix 1 primary and preschool mathematic
  127.    wt: 1:   K LAMP Musings Science Education
  128.    wt: 1:   I LAMP Introduction Study Habits
  129.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  130.    wt: 1:   Skills Chapter 1 Arithmetic
  131.    wt: 1:   10 statistics
  132.    wt: 1:   1 arithmetic with unsigned numbers
  133.    wt: 1:   three goals to set for students
  134.    wt: 1:   permissions for teachers
  135.    wt: 1:   Applied Maths Program14092009 POMME variant
  136.    wt: 1:   activities for students
  137.    wt: 1:   links Education Resources online
  138.    wt: 1:   Mathematics Education Professors
  139.    wt: 1:   modern education
  140.    wt: 1:   geometric implications for algebra
  141.    wt: 1:   05 13 OldSiteEntrancePage
  142.    wt: 1:   02 20 mathematics education references
  143.    wt: 1:   three aims for mathematics students
  144.    wt: 1:   standards for course material
  145.    wt: 1:   Education in mathematics science and technology
  146.    wt: 1:   need for a mixed mathematics curriculum
  147.    wt: 1:   education an empirical art
  148.    wt: 1:   fairness and inductive principles for instruction
  149.    wt: 1:   words for mathematics instructor
  150.    wt: 1:   chapitre 12 00 les iles et division
  151.    wt: 1:   chapitre 07 01 principle D induction mathematique
  152.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  153.    wt: 1:   chapitre 04 01 Premiere enigme
  154.    wt: 1:   chapitre 01 00 Introduction
  155.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  156.    wt: 1:   1 Energy Power Heat06
  157.    wt: 1:   A Energy Power01
  158.    wt: 1:   C Wire Resistance Calculation01
  159.    wt: 1:   A Wire Resistance Qualitative01
  160.    wt: 1:   2 Unlike resistors in parallel01
  161.    wt: 1:   1 Like resistors in series
  162.    wt: 1:   G Series Circuit01
  163.    wt: 1:   C Electromotive force conventional current02
  164.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  165.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  166.    wt: 1:   24 Standards For Skill Develoment Take II
  167.    wt: 1:   24 Standards For Skill Develoment
  168.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  169.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  170.    wt: 1:   18 Primary School Mathematics
  171.    wt: 1:   16 Secondary Mathematics Tips
  172.    wt: 1:   14 Multiplication and Times Tables
  173.    wt: 1:   13 Addition and Addition Tables
  174.    wt: 1:   5 Patience Please for Yourself and Your Charges
  175.    wt: 1:   4 Learning Takes Time and Effort
  176.    wt: 1:   3 Preparing for Science Studies
  177.    wt: 1:   1 Speaking Skills
  178.    wt: 1:   Ages 9 to 10
  179.    wt: 1:   sign monoticity analysis example 1
  180.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  181.    wt: 1:   19 Horizontal line rule and method
  182.    wt: 1:   18 Vertical Line Rule and Method
  183.    wt: 1:   17 Function maxima minima and their location
  184.    wt: 1:   16 Increasing or decreasing on intervals
  185.    wt: 1:   15 Sign analysis of functions
  186.    wt: 1:   14 Surjections Injections Bijections
  187.    wt: 1:   13 From one to one to many to one
  188.    wt: 1:   12 Function Domain Recognition Exercises
  189.    wt: 1:   10 Interval Notation
  190.    wt: 1:   6 Set Existence Formation and Notation
  191.    wt: 1:   3 Formula or function graphing exercise
  192.    wt: 1:   1 Geometric Introduction of Function Notation
  193.    wt: 1:   10 quadratic exercises
  194.    wt: 1:   8 quadratics backward use of various formulas
  195.    wt: 1:   7 quadratic formulla derivation
  196.    wt: 1:   1 quadratics graphing exercises
  197.    wt: 1:   Quadratics in 10 steps
  198.    wt: 1:   10 Exponential Growth and Decay Models
  199.    wt: 1:   1 Calculator Starter Exercises
  200.    wt: 1:   8 Notes for instructors or tutors
  201.    wt: 1:   1 Polynomials Distributive Law
  202.    wt: 1:   16 cotangent function Definition Graph and Inverse
  203.    wt: 1:   15 cosecant function Definition Graph and Inverse
  204.    wt: 1:   14 secant function Definition Graph and Inverse
  205.    wt: 1:   13 cosecant function Definition Graph and Inverse
  206.    wt: 1:   10 arctan left inverse of tangent Definition
  207.    wt: 1:   9 motivation for name arcsin
  208.    wt: 1:   4 possible motivation for term arccos
  209.    wt: 1:   1 cosine function properties
  210.    wt: 1:   1 Degrees and Radians Introduction
  211.    wt: 1:   15 Dot and Cross Product
  212.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  213.    wt: 1:   13 Velocity Vectors in Physics
  214.    wt: 1:   12 From Applied To Pure Mathematics
  215.    wt: 1:   10 Parallelogram Addition Method
  216.    wt: 1:   1 Unsigned Coordinates
  217.    wt: 1:   1 graphing y=f(x a)
  218.    wt: 1:   Triangle Angles Sum To 180 Degrees
  219.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  220.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  221.    wt: 1:   Straight Lines ASA Intersection Study More
  222.    wt: 1:   Straight Lines ASA Intersection Study
  223.    wt: 1:   14 Straight Lines Equations General Case
  224.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  225.    wt: 1:   12 Straight Lines Graphing mx plus b
  226.    wt: 1:   10 Straight Lines through Origin Equations More
  227.    wt: 1:   8 Straight Lines Equation for vertical
  228.    wt: 1:   1 Straight Lines Slope Concept
  229.    wt: 1:   31 basic secant cosecant cotangent trig identities
  230.    wt: 1:   29 secant cosecant and cotangent for acute angles
  231.    wt: 1:   25 tangent double angle formula Slope connection
  232.    wt: 1:   24 tangent Angle Difference Formula
  233.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  234.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  235.    wt: 1:   20 sine and cosine Double Angle Formulas
  236.    wt: 1:   18 sum of sinusoidal waves as a single wave
  237.    wt: 1:   17G Pythagorean Theorem Converse
  238.    wt: 1:   17F Law of cosines
  239.    wt: 1:   17A The complex number valued trig function cis
  240.    wt: 1:   16 Right Triangle Complementary Angle Relations
  241.    wt: 1:   15 sine cosine Complementary Angle Relations
  242.    wt: 1:   14 cosine even and sine and tangent are odd
  243.    wt: 1:   13 Graph of tangent function many periods
  244.    wt: 1:   10 Graphs of sines and cosines many periods
  245.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  246.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  247.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  248.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  249.    wt: 1:   1 Unit Points Reflections Rotations
  250.    wt: 1:   21 Logarithms Powers and Exponentials
  251.    wt: 1:   19 N th Roots of Unity
  252.    wt: 1:   18 Sixth Roots of Unity
  253.    wt: 1:   17 Cube Roots of unity
  254.    wt: 1:   16 References and Originality Question
  255.    wt: 1:   15 Pythagorean Theorem Converse
  256.    wt: 1:   14 Law of cosines
  257.    wt: 1:   1 Rectangular Polar Coordinates Review
  258.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  259.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  260.    wt: 1:   1 Angle Measurement with Degrees
  261.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  262.    wt: 1:   12 Triangles Similarity More Problems
  263.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  264.    wt: 1:   1 Early Concept of Like or Similar Shapes
  265.    wt: 1:   12 Links Lessons elsewhere
  266.    wt: 1:   10 Midpoint of [a b] and [b a]
  267.    wt: 1:   8 Mid Point Formula
  268.    wt: 1:   3 Slope product for perpendicular lines
  269.    wt: 1:   2 point slope equation for a line
  270.    wt: 1:   1 Numerical view of lines and their equations
  271.    wt: 1:   12 Spatial Coordinates
  272.    wt: 1:   1 Cartesian Coordinates sans signs
  273.    wt: 1:   PS H Distributive Law For Complex Numbers
  274.    wt: 1:   21 Parallelograms
  275.    wt: 1:   19 Right Triangle Similarity
  276.    wt: 1:   17 Right Bisectors of Triangle Sides
  277.    wt: 1:   16 Angles Subtended By Chords and Diameters
  278.    wt: 1:   14 Parallel Lines Postulate
  279.    wt: 1:   13 Angle Side Angle Failure
  280.    wt: 1:   12 Side Angle Side Failure
  281.    wt: 1:   10 Dropping a perpendicular to line
  282.    wt: 1:   1 Initial Concepts and Terms
  283.    wt: 1:   1 Length Measurement
  284.    wt: 1:   21 Addition of Multiples of a Single Vector
  285.    wt: 1:   19 Signed Multiples of Vectors
  286.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  287.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  288.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  289.    wt: 1:   15 Head to Tails in place Addition Associative
  290.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  291.    wt: 1:   13 Arrows and Vectors in a Plane
  292.    wt: 1:   12 Real Numbers Line Signed Coordinates
  293.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  294.    wt: 1:   1 Fractions with Finite Decimal Expansions
  295.    wt: 1:   6 Column Methods for Decimal Multiplication
  296.    wt: 1:   5 Distributive Law for Whole Numbers
  297.    wt: 1:   4 Commutative Law Groups Counting Form
  298.    wt: 1:   1 The Counting Origins of Numbers
  299.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  300.    wt: 1:   1 What is Proportionality
  301.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  302.    wt: 1:   6 Compound Interest Forward and Backwards
  303.    wt: 1:   5 Triangle Area Formula Backwards
  304.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  305.    wt: 1:   1 Changing Calculations
  306.    wt: 1:   3 Product Axioms Two Forms
  307.    wt: 1:   1 Equivalent Computation Rules
  308.    wt: 1:   2 More and Less Than for Counts and Measures
  309.    wt: 1:   1 Real Numbers Comparison
  310.    wt: 1:   16 Real Numbers Comparison
  311.    wt: 1:   15 Real Number Division
  312.    wt: 1:   14 Real Number Multiplication
  313.    wt: 1:   13 Real Number Subtraction
  314.    wt: 1:   12 Real Number Additive Inverses or Negatives
  315.    wt: 1:   10 Real Number Lengths and Signs
  316.    wt: 1:   9 Coordinates for Regions in Space
  317.    wt: 1:   8 Coordinates for Maps and Planes
  318.    wt: 1:   1 Whole and Natural Numbers
  319.    wt: 1:   3 Geometric Formulas and Function Notation
  320.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  321.    wt: 1:   1 GE Substitution four examples
  322.    wt: 1:   1 Essentially One Unknown
  323.    wt: 1:   1 Proper Equal Sign Usage
  324.    wt: 1:   10 One Example
  325.    wt: 1:   Using Letters for Physical Quantities
  326.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  327.    wt: 1:   10 Volume of Pyramid
  328.    wt: 1:   8 Compound Interest Formula Evaluation
  329.    wt: 1:   7 Compound Interest Formula Introduction
  330.    wt: 1:   5 Box Volume Formula Example
  331.    wt: 1:   4 Circle Area Formula Example
  332.    wt: 1:   3 Triangle Area Formula Example
  333.    wt: 1:   2 Another Rectangle Area Formula Example
  334.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  335.    wt: 1:   1 Finite Sets
  336.    wt: 1:   arithmetic videos Real Player Format
  337.    wt: 1:   1 Squares and Square Roots Introduction
  338.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  339.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  340.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  341.    wt: 1:   13 GCD from given Prime Factorization
  342.    wt: 1:   4 LCM of 8 and 10 via Prime
  343.    wt: 1:   1 Least Common Multiples LCM Introduction
  344.    wt: 1:   12 GCD 2700 288 via Prime
  345.    wt: 1:   1 Counting and Counting Methods I
  346.    wt: 1:   10 dividing signed numbers
  347.    wt: 1:   4 signed coordinates for regions in space
  348.    wt: 1:   3 signed coordinates for maps and planes
  349.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  350.    wt: 1:   1 Addition and Subtraction with Units
  351.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  352.    wt: 1:   19 Dividing Fractions How TO
  353.    wt: 1:   18 Efficient Ways to Multiply
  354.    wt: 1:   17 Efficient Ways to Add and Subtract
  355.    wt: 1:   16 Addition Subtraction Comparision Compared
  356.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  357.    wt: 1:   14 Adding and Subtracting with Like Denominators
  358.    wt: 1:   13 Fraction Comparison Algebraic View
  359.    wt: 1:   12 Fraction Comparison
  360.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  361.    wt: 1:   1 What is a fraction Take II
  362.    wt: 1:   1 What is a fraction
  363.    wt: 1:   13 Subtraction with Additive Inverse
  364.    wt: 1:   12 Adding Integers More Examples
  365.    wt: 1:   1 Integers as Coordinates
  366.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  367.    wt: 1:   21 Remainder Arithmetic Modulo 3
  368.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  369.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  370.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  371.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  372.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  373.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  374.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  375.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  376.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  377.    wt: 1:   19 video Prime Factorization Unique
  378.    wt: 1:   18 video Count Factors given Prime Factorization
  379.    wt: 1:   17 Identify and Count Factors using Primes
  380.    wt: 1:   16 video Factors of 980 using prime
  381.    wt: 1:   15 video Factors of 20 using Prime Factorization
  382.    wt: 1:   14 video Factors of 24 Take II
  383.    wt: 1:   13 video Factors of 24 using prime
  384.    wt: 1:   12 LCD GCD and LCM using Primes
  385.    wt: 1:   10 video Prime Factorization upto 23 squared
  386.    wt: 1:   9 video Prime Factorization upto 19 squared
  387.    wt: 1:   8 video Prime Factorization upto 19
  388.    wt: 1:   2 Prime and Composites less than 16
  389.    wt: 1:   1 video how Products are bigger than factor
  390.    wt: 1:   Long Division forwards and backwards Example 3
  391.    wt: 1:   Long Division forwards and backwards Example 2
  392.    wt: 1:   10 Division by Five Long and Short Ways
  393.    wt: 1:   9 Why Long Division Works Take II
  394.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  395.    wt: 1:   1 Divsion Physical Examples
  396.    wt: 1:   A Elementary Basis for Multiplication Methods
  397.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  398.    wt: 1:   Subtraction with J Conversions Example
  399.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  400.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  401.    wt: 1:   5 A Tip for Efficent Subtraction
  402.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  403.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  404.    wt: 1:   8 What skills and work habits to require
  405.    wt: 1:   4. How to add with decimals B with conversions
  406.    wt: 1:   3. How to add with decimals A sans conversions
  407.    wt: 1:   1. Explaining Addition Table
  408.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  409.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  410.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  411.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  412.    wt: 1:   Expression Evaluation how to show work
  413.    wt: 1:   The 12 Times Table Visually
  414.    wt: 1:   016 Numbering Occidental Calendar Days
  415.    wt: 1:   014 Counting Days with Calendars
  416.    wt: 1:   013 Travel Time Tables
  417.    wt: 1:   012 Division of Time Intervals by Time Intervals
  418.    wt: 1:   010 Repeated Addition of Time Intervals
  419.    wt: 1:   5 Conversion Arithmetic
  420.    wt: 1:   1 Intro of Kids To Time Date Skills
  421.    wt: 1:   Example 1 volume of a pyramid
  422.    wt: 1:   Example 1. Area Between x and x squared
  423.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  424.    wt: 1:   Example 1
  425.    wt: 1:   Area Between Curves Lesson Take 1
  426.    wt: 1:   1 Chain Rule in Reverse Integration Method
  427.    wt: 1:   31 Derivatives of inverse functions
  428.    wt: 1:   28 Chain Rule Preparation for a Proof
  429.    wt: 1:   22 Chain Rule for polynomials
  430.    wt: 1:   20 Chain Rule for Pulley Systems
  431.    wt: 1:   18 Chain Rule Introduction
  432.    wt: 1:   17 Derivatives of quotients of sine and cosine
  433.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  434.    wt: 1:   15 sine and cosine derivatives 3rd step
  435.    wt: 1:   14 sine and cosine derivatives 2nd step
  436.    wt: 1:   12 Quotient rule examples
  437.    wt: 1:   3 Motivation for Limit Definition Take 2
  438.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  439.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  440.    wt: 1:   3 Decimal insights for limits continuity convergence
  441.    wt: 1:   1 Numerical introduction
  442.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  443.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  444.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  445.    wt: 1:   F.1 What Functions are Continuous
  446.    wt: 1:   E1 Error Control Inequalities
  447.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  448.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  449.    wt: 1:   PostScript For and Against Decimal Perspectives
  450.    wt: 1:   A1. Introduction
  451.    wt: 1:   Chapter 21 Arrow Addition
  452.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  453.    wt: 1:   Chapter 18. Slopes Areas Integration
  454.    wt: 1:   Chapter 17. Area Approximation
  455.    wt: 1:   Chapter 16. Velocity Approximation
  456.    wt: 1:   Chapter 15. Slope Approximation
  457.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  458.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  459.    wt: 1:   Chapter 13. Acceleration
  460.    wt: 1:   Chapter 12. Units and Slopes
  461.    wt: 1:   Chapter 10 Slopes and Units
  462.    wt: 1:   Chapter 1.Introduction
  463.    wt: 1:   Fall 1983 Calculus Appetizer
  464.    wt: 1:   Foreword
  465.    wt: 1:   Postscript More on Better Performance
  466.    wt: 1:   Appendix E. How To Study Mathematics and Why
  467.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  468.    wt: 1:   Chapter 31 Direct and Indirect Reason
  469.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  470.    wt: 1:   Chapter 23. Notation For Sums
  471.    wt: 1:   Chapter 21. Third Reading Guide
  472.    wt: 1:   Chapter 19. Functions and Sets
  473.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  474.    wt: 1:   Chapter 16. Painless Theorem Proving
  475.    wt: 1:   Chapter 15. Solving Linear Equations
  476.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  477.    wt: 1:   Chapter 13. Second Reading Guide
  478.    wt: 1:   Chapter 12. Shorthand Usage Guide
  479.    wt: 1:   Chapter 10 Describing and Changing Calculations
  480.    wt: 1:   Chapter 8 Three Skills For Algebra
  481.    wt: 1:   Solutions For Arithmetic Exercises
  482.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  483.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  484.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  485.    wt: 1:   Foreword
  486.    wt: 1:   Postscript B Mathematics Education References
  487.    wt: 1:   Chapter 12 Four Phases
  488.    wt: 1:   Chapter 10 Transition
  489.    wt: 1:   Chapter 9 The Two Ends
  490.    wt: 1:   Chapter 2 For and Against Mathematics
  491.    wt: 1:   Chapter 1 Introduction
  492.    wt: 1:   Foreword
  493.    wt: 1:   Postscript C Consistency as a Tool for Reason
  494.    wt: 1:   Chapter 21 Occurrence Tables
  495.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  496.    wt: 1:   Chapter 18 Sense and Knowledge
  497.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  498.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  499.    wt: 1:   Chapter 15 Objective Processes
  500.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  501.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  502.    wt: 1:   Chapter 10 Responsibility
  503.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  504.    wt: 1:   Chapter 1 Introduction
  505.    wt: 1:   Foreword
  506.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  507.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  508.    wt: 1:   N Mathematics Prepare for College Studies
  509.    wt: 1:   J. More on written work and showing skill
  510.    wt: 1:   D. Check work a must with a caution
  511.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  512.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  513.    wt: 1:   Chapter 1 Arithmetic
  514.    wt: 1:   7 Games and Activities for Instruction
  515.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  516.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  517.    wt: 1:   Mathematics Education References
  518.    wt: 1:   Mathematics Education References
  519.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  520.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  521.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  522.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  523.    wt: 1:   The Math Forum and Site Content

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