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 Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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

Web Page Search

1118 matches:

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

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

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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