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

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

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

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

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

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

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

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

Web Page Search

1111 matches:

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

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