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

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

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

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

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

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

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

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  1.    wt: 4:   Mathematics Education Essays/
  2.    wt: 3:   14 Degrees to Radians and Radians to Degrees/
  3.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  4.    wt: 2:   13 Vectors/
  5.    wt: 2:   2 Formula Forward Use Evaluation/
  6.    wt: 2:   Volume 2 Three Skills For Algebra/
  7.    wt: 1:   LAMP Lean Applied Mathematics Program/
  8.    wt: 1:   Archives/
  9.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  10.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  11.    wt: 1:   12 Function Translating and Rescaling/
  12.    wt: 1:   11 Parallel Straight Lines and Transversals/
  13.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  14.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  15.    wt: 1:   8 Unit Circle Trigonometry/
  16.    wt: 1:   7 Complex Numbers/
  17.    wt: 1:   6 Trigonometry first steps/
  18.    wt: 1:   5 What is Similarity/
  19.    wt: 1:   4 Lines and Slopes Take 1/
  20.    wt: 1:   3 Cartesian and Polar Coordinates/
  21.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  22.    wt: 1:   1 Maps Plans Measurement/
  23.    wt: 1:   Geometry maps plans trigonometry vectors/
  24.    wt: 1:   9 Proportionality Backwards and Forwards/
  25.    wt: 1:   8 Unifying Theme For Algebra/
  26.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  27.    wt: 1:   1 Working With Sets/
  28.    wt: 1:   9 Combinatorics Trees Tables and Products/
  29.    wt: 1:   3 Prime Factorization Skills/

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350 matches:

  1.    wt: 6:   three goals to set for students
  2.    wt: 4:   three goals for Mathematics Education
  3.    wt: 3:   three aims for mathematics students
  4.    wt: 3:   Four ways to improve education reform
  5.    wt: 3:   13 From one to one to many to one
  6.    wt: 3:   8 Notes for instructors or tutors
  7.    wt: 3:   4 Equations for lines three forms
  8.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  9.    wt: 2:   9 combinatorics probability sets
  10.    wt: 2:   activities for students
  11.    wt: 2:   grouping students according to ability
  12.    wt: 2:   Education Reform Inconsistencies
  13.    wt: 2:   What to Tell Students
  14.    wt: 2:   04 25 when to stop or suspend mathemat
  15.    wt: 2:   formal or informal peer review
  16.    wt: 2:   How to be a better instructor
  17.    wt: 2:   Prequel In For A Penny In For A Pound
  18.    wt: 2:   words for mathematics instructor
  19.    wt: 2:   12 Goals and Objectives For Mathematics
  20.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  21.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  22.    wt: 2:   6 Set Existence Formation and Notation
  23.    wt: 2:   5 Function notation for geometric transformations
  24.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  25.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  26.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  27.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  28.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  29.    wt: 2:   26 Formulas for products of sines and cosines
  30.    wt: 2:   17E Trig Formulas for dot and cross Products
  31.    wt: 2:   17D cis formulas for sine cosines and tangent
  32.    wt: 2:   13 Trig Formulas for dot and cross Products
  33.    wt: 2:   12 cis formulas for sine cosines and tangent
  34.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  35.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  36.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  37.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  38.    wt: 2:   Formula Usage Show Work Format
  39.    wt: 2:   1 Written work formats for developing and showing skill
  40.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  41.    wt: 2:   1 Three Skills For Algebra
  42.    wt: 2:   18 video Count Factors given Prime Factorization
  43.    wt: 2:   15 video Factors of 20 using Prime Factorization
  44.    wt: 2:   10 video Prime Factorization upto 23 squared
  45.    wt: 2:   9 video Prime Factorization upto 19 squared
  46.    wt: 2:   8 video Prime Factorization upto 19
  47.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  48.    wt: 2:   Formula Evaluation how to show work
  49.    wt: 2:   38 Formulas and derivatives for powers and roots
  50.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  51.    wt: 2:   Postscript For Better Performance
  52.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  53.    wt: 2:   Chapter 8 Three Skills For Algebra
  54.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  55.    wt: 2:   Postscript C Consistency as a Tool for Reason
  56.    wt: 2:   G. Written work formats for developing and showing skill
  57.    wt: 2:   A. Skill has to be seen to believed
  58.    wt: 1:   K LAMP Musings Science Education
  59.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  60.    wt: 1:   which way to go
  61.    wt: 1:   Teach the teachers plus goals
  62.    wt: 1:   permissions for teachers
  63.    wt: 1:   links Education Resources online
  64.    wt: 1:   Mathematics Education Professors
  65.    wt: 1:   modern education
  66.    wt: 1:   Secondary Three Mathematics
  67.    wt: 1:   three difficulties
  68.    wt: 1:   geometric implications for algebra
  69.    wt: 1:   teaching tutoring algebraic reason
  70.    wt: 1:   02 21 words for teachers
  71.    wt: 1:   02 20 mathematics education references
  72.    wt: 1:   standards for course material
  73.    wt: 1:   Operational Viewpoint to Value
  74.    wt: 1:   Education in mathematics science and technology
  75.    wt: 1:   three kinds of reason in mathematics
  76.    wt: 1:   need for a mixed mathematics curriculum
  77.    wt: 1:   education an empirical art
  78.    wt: 1:   fairness and inductive principles for instruction
  79.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  80.    wt: 1:   3 Like resistors in parallel
  81.    wt: 1:   2 Unlike resistors in parallel01
  82.    wt: 1:   1 Like resistors in series
  83.    wt: 1:   F Unlike Resistors in Series
  84.    wt: 1:   C Electromotive force conventional current02
  85.    wt: 1:   B Electromotive force conventional current01
  86.    wt: 1:   Home Tutoring and Home Schooling
  87.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  88.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  89.    wt: 1:   24 Standards For Skill Develoment Take II
  90.    wt: 1:   24 Standards For Skill Develoment
  91.    wt: 1:   17 Math Booklets for children and young teenagers
  92.    wt: 1:   15 Counting For Parents
  93.    wt: 1:   11 Help and Defend Your Child or Teens Education
  94.    wt: 1:   10 Ends values for work study instruction
  95.    wt: 1:   5 Patience Please for Yourself and Your Charges
  96.    wt: 1:   4 Learning Takes Time and Effort
  97.    wt: 1:   3 Preparing for Science Studies
  98.    wt: 1:   Ages 12 to 14 Skills with take home value
  99.    wt: 1:   Ages 12 to 14 Geometry
  100.    wt: 1:   Ages 12 to 14 Arithmetic
  101.    wt: 1:   Ages 10 to 12 Geometry
  102.    wt: 1:   Ages 10 to 12 Arithmetic
  103.    wt: 1:   Ages 9 to 10
  104.    wt: 1:   Ages 8 to 9
  105.    wt: 1:   Ages 7 to 8
  106.    wt: 1:   Ages 6 to 7
  107.    wt: 1:   Ages 4 plus to 5 plus
  108.    wt: 1:   Ages 3 plus to 4 plus
  109.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  110.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  111.    wt: 1:   9 Set theory term relation possible origins
  112.    wt: 1:   8 Set view of relations and functions
  113.    wt: 1:   3 Formula or function graphing exercise
  114.    wt: 1:   8 quadratics backward use of various formulas
  115.    wt: 1:   7 quadratic formulla derivation
  116.    wt: 1:   3 quadratics factoring by inspection
  117.    wt: 1:   5 Natural Logarithm Calculator Exercises
  118.    wt: 1:   1 Calculator Starter Exercises
  119.    wt: 1:   12 motivation for term arctan
  120.    wt: 1:   9 motivation for name arcsin
  121.    wt: 1:   4 possible motivation for term arccos
  122.    wt: 1:   9 Summary Degrees to Radians and back
  123.    wt: 1:   6 Radian Measure to Degrees
  124.    wt: 1:   5 Degrees to Radian Measure
  125.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  126.    wt: 1:   13 Velocity Vectors in Physics
  127.    wt: 1:   12 From Applied To Pure Mathematics
  128.    wt: 1:   9 Head to Tail Coordinate View
  129.    wt: 1:   8 Parallel Vectors
  130.    wt: 1:   6 Vectors with Coordinates
  131.    wt: 1:   5 Head To Tail Arrow Addition
  132.    wt: 1:   3 Navigation with Arrows or Vectors
  133.    wt: 1:   Vector and Complex Number Applet
  134.    wt: 1:   Triangle Angles Sum To 180 Degrees
  135.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  136.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  137.    wt: 1:   8 Straight Lines Equation for vertical
  138.    wt: 1:   17 tangent function angle sum formulas
  139.    wt: 1:   29 secant cosecant and cotangent for acute angles
  140.    wt: 1:   25 tangent double angle formula Slope connection
  141.    wt: 1:   24 tangent Angle Difference Formula
  142.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  143.    wt: 1:   21 sine and cosine Half Angle Formulas
  144.    wt: 1:   20 sine and cosine Double Angle Formulas
  145.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  146.    wt: 1:   17C sine and cosine double triple angle formulas
  147.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  148.    wt: 1:   12 Graph of tangent function for one period
  149.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  150.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  151.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  152.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  153.    wt: 1:   11 sine and cosine double triple angle formulas
  154.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  155.    wt: 1:   7 Second Way to Calculate Products
  156.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  157.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  158.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  159.    wt: 1:   8 Mid Point Formula
  160.    wt: 1:   7 Exercises to test skill and concept mastery
  161.    wt: 1:   3 Slope product for perpendicular lines
  162.    wt: 1:   2 point slope equation for a line
  163.    wt: 1:   13 Pythagorean spatial distance formulas
  164.    wt: 1:   10 Pythagorean plane distance formula
  165.    wt: 1:   4 Polar Coordinates to and from
  166.    wt: 1:   PS H Distributive Law For Complex Numbers
  167.    wt: 1:   17 Right Bisectors of Triangle Sides
  168.    wt: 1:   10 Dropping a perpendicular to line
  169.    wt: 1:   9 Construction of a right bisector
  170.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  171.    wt: 1:   6 Figuring with Maps Not to Scale
  172.    wt: 1:   4 Angles on Maps Plans drawn to scale
  173.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  174.    wt: 1:   21 Addition of Multiples of a Single Vector
  175.    wt: 1:   19 Signed Multiples of Vectors
  176.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  177.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  178.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  179.    wt: 1:   15 Head to Tails in place Addition Associative
  180.    wt: 1:   13 Arrows and Vectors in a Plane
  181.    wt: 1:   C Three Decimal Subtraction Methods
  182.    wt: 1:   6 Column Methods for Decimal Multiplication
  183.    wt: 1:   5 Distributive Law for Whole Numbers
  184.    wt: 1:   4 Commutative Law Groups Counting Form
  185.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  186.    wt: 1:   6 Compound Interest Forward and Backwards
  187.    wt: 1:   5 Triangle Area Formula Backwards
  188.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  189.    wt: 1:   3 Product Axioms Two Forms
  190.    wt: 1:   2 More and Less Than for Counts and Measures
  191.    wt: 1:   9 Coordinates for Regions in Space
  192.    wt: 1:   8 Coordinates for Maps and Planes
  193.    wt: 1:   3 Geometric Formulas and Function Notation
  194.    wt: 1:   1 Formulas Dependence and Function Notation
  195.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  196.    wt: 1:   2 Essentially one exercises three with solution
  197.    wt: 1:   2 Three Examples
  198.    wt: 1:   9 Three Examples
  199.    wt: 1:   6 Three Examples
  200.    wt: 1:   5 Three Examples
  201.    wt: 1:   2 Three Examples
  202.    wt: 1:   Using Letters for Physical Quantities
  203.    wt: 1:   13 Naming Identifying Formulas with Words
  204.    wt: 1:   8 Compound Interest Formula Evaluation
  205.    wt: 1:   7 Compound Interest Formula Introduction
  206.    wt: 1:   5 Box Volume Formula Example
  207.    wt: 1:   4 Circle Area Formula Example
  208.    wt: 1:   3 Triangle Area Formula Example
  209.    wt: 1:   2 Another Rectangle Area Formula Example
  210.    wt: 1:   9 Sets in Probability and Statistics
  211.    wt: 1:   8 Sets of Numbers
  212.    wt: 1:   7 Cautious or Safe Set Construction
  213.    wt: 1:   6 Power Set Notation
  214.    wt: 1:   4 Subset Builder Notation
  215.    wt: 1:   3 Counting with Sets etc
  216.    wt: 1:   1 Finite Sets
  217.    wt: 1:   6 Three Notions of What is a Variable
  218.    wt: 1:   4 A Brief Story of numbers and algebra
  219.    wt: 1:   3 Adding Words To Arithmetic
  220.    wt: 1:   arithmetic videos Real Player Format
  221.    wt: 1:   1 More and Less Than for Counts and Measures
  222.    wt: 1:   13 GCD from given Prime Factorization
  223.    wt: 1:   7 GCD and LCM from prime factorization
  224.    wt: 1:   4 signed coordinates for regions in space
  225.    wt: 1:   3 signed coordinates for maps and planes
  226.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  227.    wt: 1:   D Three Term Ratios
  228.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  229.    wt: 1:   21 Reciprocals for Fractions and Wholes
  230.    wt: 1:   19 Dividing Fractions How TO
  231.    wt: 1:   18 Efficient Ways to Multiply
  232.    wt: 1:   17 Efficient Ways to Add and Subtract
  233.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  234.    wt: 1:   14 Adding and Subtracting with Like Denominators
  235.    wt: 1:   11 Adding Integers Formulas and Examples
  236.    wt: 1:   10 Integer Multiplication Formulas
  237.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  238.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  239.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  240.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  241.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  242.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  243.    wt: 1:   20 Uniqueness of Prime Factorization
  244.    wt: 1:   19 video Prime Factorization Unique
  245.    wt: 1:   17 Identify and Count Factors using Primes
  246.    wt: 1:   16 video Factors of 980 using prime
  247.    wt: 1:   14 video Factors of 24 Take II
  248.    wt: 1:   13 video Factors of 24 using prime
  249.    wt: 1:   7 Calculator Usage Notes and Cautions
  250.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  251.    wt: 1:   5 Prime Factorization and a Square Rule
  252.    wt: 1:   4 video Prime Factorization Introduction
  253.    wt: 1:   1 video how Products are bigger than factor
  254.    wt: 1:   Long Division forwards and backwards Example 3
  255.    wt: 1:   Long Division forwards and backwards Example 2
  256.    wt: 1:   Long Division forwards and backwards Example 1
  257.    wt: 1:   A Elementary Basis for Multiplication Methods
  258.    wt: 1:   4 Two and Three Digit Multipliers
  259.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  260.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  261.    wt: 1:   5 A Tip for Efficent Subtraction
  262.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  263.    wt: 1:   8 What skills and work habits to require
  264.    wt: 1:   5. How to add decimals C. Examples
  265.    wt: 1:   4. How to add with decimals B with conversions
  266.    wt: 1:   3. How to add with decimals A sans conversions
  267.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  268.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  269.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  270.    wt: 1:   Quick history of numbers and algebra
  271.    wt: 1:   Expression Evaluation how to show work
  272.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  273.    wt: 1:   8 Addition of Time Intervals via subtotaling
  274.    wt: 1:   1 Intro of Kids To Time Date Skills
  275.    wt: 1:   28 Chain Rule Preparation for a Proof
  276.    wt: 1:   22 Chain Rule for polynomials
  277.    wt: 1:   21 Chain Rule for powers
  278.    wt: 1:   20 Chain Rule for Pulley Systems
  279.    wt: 1:   19 Chain Rule for linear functions
  280.    wt: 1:   10 Power rule for negative integers
  281.    wt: 1:   3 Motivation for Limit Definition Take 2
  282.    wt: 1:   2 Motivation for Limit Definition Take 1
  283.    wt: 1:   11 Limits at infinity Three Examples
  284.    wt: 1:   10 Three one sided limits with infinite values
  285.    wt: 1:   3 Decimal insights for limits continuity convergence
  286.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  287.    wt: 1:   D2 Limits of Monotone Sequences
  288.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  289.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  290.    wt: 1:   PostScript For and Against Decimal Perspectives
  291.    wt: 1:   Chapter 23 Links To Trigonometry
  292.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  293.    wt: 1:   Foreword
  294.    wt: 1:   Postscript More on Better Performance
  295.    wt: 1:   Appendix E. How To Study Mathematics and Why
  296.    wt: 1:   Appendix D. What to do in School and Why
  297.    wt: 1:   Appendix C. How to Read
  298.    wt: 1:   Appendix B. How To Learn
  299.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  300.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  301.    wt: 1:   Chapter 23. Notation For Sums
  302.    wt: 1:   Chapter 19. Functions and Sets
  303.    wt: 1:   Chapter 18. Rules for Algebra
  304.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  305.    wt: 1:   Solutions For Arithmetic Exercises
  306.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  307.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  308.    wt: 1:   Foreword
  309.    wt: 1:   Annotated Links to Material Elsehwere
  310.    wt: 1:   Postscript B Mathematics Education References
  311.    wt: 1:   Postscript A Three Remarks
  312.    wt: 1:   Chapter 2 For and Against Mathematics
  313.    wt: 1:   Foreword
  314.    wt: 1:   Postscript B More on Story Telling and Reason
  315.    wt: 1:   Postscript A Story Telling
  316.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  317.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  318.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  319.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  320.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  321.    wt: 1:   Three Remarks
  322.    wt: 1:   Foreword
  323.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  324.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  325.    wt: 1:   S Adding words to algebra
  326.    wt: 1:   N Mathematics Prepare for College Studies
  327.    wt: 1:   M Words to extend arithmetic
  328.    wt: 1:   H more Routine to non routine problem solving
  329.    wt: 1:   F. The student teacher tutor feedback loop
  330.    wt: 1:   E. When and how to correct errors
  331.    wt: 1:   How to Build Skills and Confidence
  332.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  333.    wt: 1:   Chapter 8 Skipped Topics and Why
  334.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  335.    wt: 1:   Chapter 2 Why Sets
  336.    wt: 1:   7 Games and Activities for Instruction
  337.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  338.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  339.    wt: 1:   Mathematics Education References
  340.    wt: 1:   Mathematics Education References
  341.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  342.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  343.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  344.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  345.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  346.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  347.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  348.    wt: 1:   Which Way To Go
  349.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  350.    wt: 1:   The Math Forum and Site Content

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

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

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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