Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
 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 14+: 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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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83 matches:

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

Web Page Search

1072 matches:

  1.    wt: 8:   3 Natural Logarithms and Exponentials Basic Properties
  2.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  3.    wt: 8:   13 Pythagorean spatial distance formulas
  4.    wt: 8:   3 Lengths and Areas on Maps and Plans
  5.    wt: 8:   Long Division forwards and backwards Example 3
  6.    wt: 8:   Example 1. Area Between x and x squared
  7.    wt: 8:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  8.    wt: 8:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  9.    wt: 7:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  10.    wt: 7:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  11.    wt: 7:   5 Natural Logarithm Calculator Exercises
  12.    wt: 7:   14 Why Scalar Multiplication Distributes Physical Argument
  13.    wt: 7:   Parallel Lines and Parallel Transversals
  14.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  15.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  16.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  17.    wt: 7:   9 Circle Area and Perimeter Formula Backwards Forwards
  18.    wt: 7:   4 Rectangle Area and Like Formulas Backwards
  19.    wt: 7:   3 Gaussian Elimination 3 unknowns first example
  20.    wt: 7:   3 Triangle Area Formula Example
  21.    wt: 7:   2 Another Rectangle Area Formula Example
  22.    wt: 7:   Long Division forwards and backwards Example 2
  23.    wt: 7:   Long Division forwards and backwards Example 1
  24.    wt: 7:   11 Place Value SI Standard International way
  25.    wt: 7:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  26.    wt: 7:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  27.    wt: 7:   33 Chain Rule Real Player video examples
  28.    wt: 7:   Chapter 19. Exponentials and Natural Logarithms
  29.    wt: 7:   Chapter 14. Forward and Backward Use of a Formula
  30.    wt: 7:   Montreal Basic and Advanced Mathematics Tutoring
  31.    wt: 6:   Appendix 1 primary and preschool mathematic
  32.    wt: 6:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  33.    wt: 6:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  34.    wt: 6:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  35.    wt: 6:   sign monoticity analysis example 3
  36.    wt: 6:   17 Function maxima minima and their location
  37.    wt: 6:   8 quadratics backward use of various formulas
  38.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  39.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  40.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  41.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  42.    wt: 6:   29 secant cosecant and cotangent for acute angles
  43.    wt: 6:   10 Pythagorean plane distance formula
  44.    wt: 6:   5 Cartesian Addition and Translation
  45.    wt: 6:   PS F Scalar Multiplication Distributes over Addition
  46.    wt: 6:   4 Angles on Maps Plans drawn to scale
  47.    wt: 6:   25 Mid way Convergence to Axiomatic Approach
  48.    wt: 6:   15 Head to Tails in place Addition Associative
  49.    wt: 6:   8 Pythagorean Relation Forwards Backwards
  50.    wt: 6:   5 Triangle Area Formula Backwards
  51.    wt: 6:   5 Gaussian Elimination for 3 unknowns 2nd example
  52.    wt: 6:   6 Pythagorean Hypotenuse Calculation Example
  53.    wt: 6:   6 Three Notions of What is a Variable
  54.    wt: 6:   3 signed coordinates for maps and planes
  55.    wt: 6:   C Equality for Fractions and Two Term Ratios and Fractions
  56.    wt: 6:   13 Fraction Comparison Algebraic View
  57.    wt: 6:   8 Numerals Fractionals Quantals Take II
  58.    wt: 6:   A Decimals Modular and Remainder Arithmetic
  59.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  60.    wt: 6:   3 Harder Cases Convert to Compare and Subtract
  61.    wt: 6:   1 Comparison and Subtraction Easy Direct Cases
  62.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  63.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  64.    wt: 6:   A Chain Rule Real Player video examples
  65.    wt: 6:   13 Limits with Parameters and Derivatives Take II
  66.    wt: 6:   Chapter 17. Area Approximation
  67.    wt: 6:   Appendix E. How To Study Mathematics and Why
  68.    wt: 6:   Appendix A. Reading Guide For Next Appendices
  69.    wt: 6:   Chapter 25. Mathematical Induction Examples
  70.    wt: 6:   Chapter 25. Mathematical Induction Examples
  71.    wt: 6:   Chapter 2 Implication Rules Forwards and Backwards
  72.    wt: 6:   Chapter 2 For and Against Mathematics
  73.    wt: 6:   Chapter 4 Implication Rules Forwards and Backwards
  74.    wt: 6:   V Reasons and Motivations for Logic and Mathematics
  75.    wt: 6:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  76.    wt: 6:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  77.    wt: 5:   C LAMP Introduction Culture in Mathematics Education
  78.    wt: 5:   Ramblings Introduction Algebra Essay
  79.    wt: 5:   5 logarithms and exponentials etc
  80.    wt: 5:   Applied Maths Program14092009 POMME variant
  81.    wt: 5:   three goals for Mathematics Education
  82.    wt: 5:   chapitre 07 00 Des chaines plus longues de la raison
  83.    wt: 5:   chapitre 06 00 Chaines de la raison
  84.    wt: 5:   chapitre 03 A Propos Des Prochains Chapitre
  85.    wt: 5:   E Wire Resistance Calculation03
  86.    wt: 5:   A Wire Resistance Qualitative01
  87.    wt: 5:   25 Mathematics Education Leaving A Good Impression
  88.    wt: 5:   13 Addition and Addition Tables
  89.    wt: 5:   Objectives for Mathematics and Logic Language Skill Development
  90.    wt: 5:   sign monoticity analysis example 4
  91.    wt: 5:   sign monoticity analysis example 2
  92.    wt: 5:   sign monoticity analysis example 1
  93.    wt: 5:   25 Absolute Value greatest integer and saw tooth functions
  94.    wt: 5:   6 Set Existence Formation and Notation
  95.    wt: 5:   3 Formula or function graphing exercise
  96.    wt: 5:   9 quadratics physical and further context
  97.    wt: 5:   6 quadratics numerical approach
  98.    wt: 5:   1 quadratics graphing exercises
  99.    wt: 5:   8 Formulas for Fractional Exponents with Logarithms
  100.    wt: 5:   1 Calculator Starter Exercises
  101.    wt: 5:   6 Polynomial Operations and Equivalent Computation Rules
  102.    wt: 5:   9 Summary Degrees to Radians and back
  103.    wt: 5:   7 Radian Measures in special Triangles
  104.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  105.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  106.    wt: 5:   2 Radian Measure Numerical Value of one degree
  107.    wt: 5:   A Global Time and Navigation
  108.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  109.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  110.    wt: 5:   31 basic secant cosecant cotangent trig identities
  111.    wt: 5:   18 sum of sinusoidal waves as a single wave
  112.    wt: 5:   5 Trigonometric Ratios For Tangent and Special Triangles
  113.    wt: 5:   7 Translations Rotations Reflections Dilatations
  114.    wt: 5:   PS D Addition with Cartesian Coordinates
  115.    wt: 5:   5 Drawing to Scale Avoids Angle Distortions
  116.    wt: 5:   A Modular and Remainder Arithmetic
  117.    wt: 5:   13 Arrows and Vectors in a Plane
  118.    wt: 5:   B Decimal Comparison and Subtraction
  119.    wt: 5:   4 Fraction Operations Axiomatic Development
  120.    wt: 5:   3 Inequalities Algebraically
  121.    wt: 5:   1 Decimals Modular and Remainder Arithmetic
  122.    wt: 5:   4 Subtraction and Division Axioms
  123.    wt: 5:   2 Addition and Multiplication Axioms
  124.    wt: 5:   8 Coordinates for Maps and Planes
  125.    wt: 5:   3 GE III Equation Addition and Multiplication
  126.    wt: 5:   4 Solving a triangular system exercise
  127.    wt: 5:   3 Solving triangular system example
  128.    wt: 5:   4 Circle Area Formula Example
  129.    wt: 5:   A Similarities between Fractions and Two Term Ratios
  130.    wt: 5:   16 Addition Subtraction Comparision Compared
  131.    wt: 5:   10 Simplification of Fractions and Mixed Numerals
  132.    wt: 5:   7 Numerals Fractionals Quantals
  133.    wt: 5:   6 Multiplication Algebraically Take II
  134.    wt: 5:   1 What is a fraction Take II
  135.    wt: 5:   A Associative Law Theorectical Note
  136.    wt: 5:   11 Adding Integers Formulas and Examples
  137.    wt: 5:   13 Remainder Arithmetic Modulo 5 Example
  138.    wt: 5:   7 Calculator Usage Notes and Cautions
  139.    wt: 5:   5 Prime Factorization and a Square Rule
  140.    wt: 5:   3 Division Single Digit Divisor Example
  141.    wt: 5:   A Elementary Basis for Multiplication Methods
  142.    wt: 5:   Appendix 2 Three Decimal Subtraction Methods
  143.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  144.    wt: 5:   6 Subtraction with Conversion Example with Exercises
  145.    wt: 5:   2 Subtraction Easy Case Examples
  146.    wt: 5:   3. How to add with decimals A sans conversions
  147.    wt: 5:   9 Place Value Review Decimal form of Avogrados number included
  148.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  149.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  150.    wt: 5:   Exact Arithmetic Wholes and Fractions
  151.    wt: 5:   Practical Methods Ends and Values for Arithmetic
  152.    wt: 5:   9 Comparison and Subtraction of Time Intervals
  153.    wt: 5:   A Related Material in Volume 3
  154.    wt: 5:   4 Definite Integrals Evaluation Exercises
  155.    wt: 5:   4 Second derivative test exercise example
  156.    wt: 5:   38 Formulas and derivatives for powers and roots
  157.    wt: 5:   25 Chain Rule Animated Examples Continued
  158.    wt: 5:   24 Chain Rule Animated Examples
  159.    wt: 5:   7 Animated Differentiation Examples
  160.    wt: 5:   1 Fall 1983 Why Slopes Appetizer
  161.    wt: 5:   12 Limits with Parameters and Derivatives Take I
  162.    wt: 5:   Chapter 24 Logarithms Powers and Exponentials
  163.    wt: 5:   Chapter 18. Slopes Areas Integration
  164.    wt: 5:   Chapter 15. Algebraic Evaluation of Limits
  165.    wt: 5:   Chapter 14 Limits and Continuity with and sans Decimals
  166.    wt: 5:   Chapter 3. Slope Sign Analysis
  167.    wt: 5:   Appendix D. What to do in School and Why
  168.    wt: 5:   Chapter 29 Contrapositive and Vacuously True Implications
  169.    wt: 5:   Chapter 26 What is in chapters 27 to 31
  170.    wt: 5:   Chapter 10 Describing and Changing Calculations
  171.    wt: 5:   Chapter 7 Prep for Calculus Arithmetic Exercises
  172.    wt: 5:   Chapter 5 Islands and Divisions of Knowledge
  173.    wt: 5:   Chapter 6 Rule Based Reason in Mathematics
  174.    wt: 5:   Chapter 4 Complex Numbers and Why Slopes
  175.    wt: 5:   Chapter 22 Contrapositive and Vacuously True Implications
  176.    wt: 5:   Chapter 17 Objective Ways Trial and Error Discovery
  177.    wt: 5:   Chapter 16 Origins and Limitations of Rules and Patterns
  178.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
  179.    wt: 5:   Chapter 12 Islands and Divisions of Knowledge
  180.    wt: 5:   Chapter 3 What is in chapters 4 to 8
  181.    wt: 5:   P Exact Arithmetic With Whole Numbers and Fractions
  182.    wt: 5:   More Algebra and Slope based Calculus Preview
  183.    wt: 5:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  184.    wt: 5:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  185.    wt: 4:   Appendix 2 primary school Arithmetic 01
  186.    wt: 4:   E LAMP Introduction Modern Mathematics
  187.    wt: 4:   B LAMP Introduction Curriculum Development Standards
  188.    wt: 4:   Skills Chapter 3 Algebra
  189.    wt: 4:   7 logic review and decimals an odd combination
  190.    wt: 4:   Maps Plans Drawings
  191.    wt: 4:   Secondary Three Mathematics
  192.    wt: 4:   talk the algebra talk
  193.    wt: 4:   teaching tutoring algebraic reason
  194.    wt: 4:   three aims for mathematics students
  195.    wt: 4:   standards for course material
  196.    wt: 4:   Education in mathematics science and technology
  197.    wt: 4:   three kinds of reason in mathematics
  198.    wt: 4:   need for a mixed mathematics curriculum
  199.    wt: 4:   education an empirical art
  200.    wt: 4:   chapitre 04 10 Etapes pour une meilleur raison
  201.    wt: 4:   Trois Notions qui menent a algebre
  202.    wt: 4:   2 Conductance Resistance Duality02
  203.    wt: 4:   1 Conductance Resistance Duality01
  204.    wt: 4:   F Wire Resistance Calculation04
  205.    wt: 4:   D Wire Resistance Calculation02
  206.    wt: 4:   C Wire Resistance Calculation01
  207.    wt: 4:   B Wire Resistance Qualitative02
  208.    wt: 4:   3 Like resistors in parallel
  209.    wt: 4:   27 Graduated Correction and Penalties for Young Offenders
  210.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take IV
  211.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take III
  212.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take II
  213.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  214.    wt: 4:   16 Secondary Mathematics Tips
  215.    wt: 4:   12 Goals and Objectives For Mathematics
  216.    wt: 4:   6 Discipline Who is in Charge Conserving Authority
  217.    wt: 4:   5 Patience Please for Yourself and Your Charges
  218.    wt: 4:   11 Function Domain Range Source and Targets
  219.    wt: 4:   4 Function notation in and beyond mathematics
  220.    wt: 4:   A Quadratics Summary
  221.    wt: 4:   10 quadratic exercises
  222.    wt: 4:   7 quadratic formulla derivation
  223.    wt: 4:   3 quadratics factoring by inspection
  224.    wt: 4:   2 quadratics graphing in general
  225.    wt: 4:   10 Exponential Growth and Decay Models
  226.    wt: 4:   9 Formulas for Real Exponents with Logarithms
  227.    wt: 4:   5 Polynomials Long division Nonlinear divisor
  228.    wt: 4:   4 Polynomials Long division linear divisor
  229.    wt: 4:   3 Polynomials Multiplication Addition
  230.    wt: 4:   13 cosecant function Definition Graph and Inverse
  231.    wt: 4:   11 arctan left inverse of tangent Graph
  232.    wt: 4:   5 Swapping Coordinates is a reflection
  233.    wt: 4:   8 Radian Measures of Common Angles
  234.    wt: 4:   1 Degrees and Radians Introduction
  235.    wt: 4:   10 Parallelogram Addition Method
  236.    wt: 4:   5 Head To Tail Arrow Addition
  237.    wt: 4:   3 Navigation with Arrows or Vectors
  238.    wt: 4:   Parallel Lines and Interior Angles
  239.    wt: 4:   SAS Method For Isometric Or Proportional Triangle Construction
  240.    wt: 4:   D Straight Lines Slope from Coordinates Examples
  241.    wt: 4:   14 Straight Lines Equations General Case
  242.    wt: 4:   7 Tangent Function is odd on this domain
  243.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  244.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  245.    wt: 4:   32 seven rows of pascals triangle
  246.    wt: 4:   30 unit circle calculation of six trigonometric functions
  247.    wt: 4:   22 sine of 22.5 degrees via half angle formulas
  248.    wt: 4:   21 sine and cosine Half Angle Formulas
  249.    wt: 4:   17D cis formulas for sine cosines and tangent
  250.    wt: 4:   17B sine cosine Angle Sum Formulas via cis
  251.    wt: 4:   17A The complex number valued trig function cis
  252.    wt: 4:   16 Right Triangle Complementary Angle Relations
  253.    wt: 4:   14 cosine even and sine and tangent are odd
  254.    wt: 4:   13 Graph of tangent function many periods
  255.    wt: 4:   21 Logarithms Powers and Exponentials
  256.    wt: 4:   12 cis formulas for sine cosines and tangent
  257.    wt: 4:   10 sine cosine Angle Sum Formulas via cis
  258.    wt: 4:   5 An Easy Proof of the Distributive Law
  259.    wt: 4:   1 Rectangular Polar Coordinates Review
  260.    wt: 4:   Appetizer A Complex Number Applet
  261.    wt: 4:   2 Similar Triangles Equality of Corresponding Side Ratios
  262.    wt: 4:   10 Similarity of Triangles Equivalent of Two Criteria
  263.    wt: 4:   9 Similarity of Triangles Usual Criteria
  264.    wt: 4:   5 Similarity of Circles Squares and Rectangles
  265.    wt: 4:   11 A Partial Summary
  266.    wt: 4:   7 Exercises to test skill and concept mastery
  267.    wt: 4:   What is and is not here
  268.    wt: 4:   6 Polar Multiplication and Rotation
  269.    wt: 4:   3 Rectangular Coordinates Review
  270.    wt: 4:   1 Cartesian Coordinates sans signs
  271.    wt: 4:   PS H Distributive Law For Complex Numbers
  272.    wt: 4:   PS G Rotation Distributes over Addition
  273.    wt: 4:   PS E Multiplication with Polar Coordinates
  274.    wt: 4:   PS B Parallelogram Construction Methods
  275.    wt: 4:   13 Angle Side Angle Failure
  276.    wt: 4:   6 Ruler and compass Angle Bisection
  277.    wt: 4:   8 More Use of Maps Not Drawn to Scale
  278.    wt: 4:   26 More Less Greater Than Comparison
  279.    wt: 4:   23 Distributive Law Two Derivations
  280.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  281.    wt: 4:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  282.    wt: 4:   8 Division and Mulplication of Compound Fractions
  283.    wt: 4:   7 Arithmetic with Infinite Decimal Expansions
  284.    wt: 4:   5 Fractions with Infinite Decimal Expansions
  285.    wt: 4:   3 Location of Point in Decimal Multiplication
  286.    wt: 4:   1 Fractions with Finite Decimal Expansions
  287.    wt: 4:   7 Decimals Multiplication Methods Examples
  288.    wt: 4:   5 Areas of Rectangles Revisited
  289.    wt: 4:   4 Rates Ratios and Proporitionality
  290.    wt: 4:   3 Proportionality Examples
  291.    wt: 4:   6 Compound Interest Forward and Backwards
  292.    wt: 4:   3 Linear Equation Literal Solution More
  293.    wt: 4:   2 More and Less Than for Counts and Measures
  294.    wt: 4:   3 Geometric Formulas and Function Notation
  295.    wt: 4:   4 GE III Animated Examples
  296.    wt: 4:   2 Essentially one exercises three with solution
  297.    wt: 4:   6 Algebraic Solution Example
  298.    wt: 4:   4 Four Examples Fractional Coefficients
  299.    wt: 4:   5 Box Volume Formula Example
  300.    wt: 4:   9 Sets in Probability and Statistics
  301.    wt: 4:   5 Talking about Numbers and Quantities
  302.    wt: 4:   4 A Brief Story of numbers and algebra
  303.    wt: 4:   2 What is a Variable
  304.    wt: 4:   arithmetic videos Real Player Format
  305.    wt: 4:   3 Comparison of Negative Numbers
  306.    wt: 4:   1 More and Less Than for Counts and Measures
  307.    wt: 4:   3 Properties of Square Roots with example
  308.    wt: 4:   1 Squares and Square Roots Introduction
  309.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  310.    wt: 4:   2 Least Common Multiple LCM intro via list method
  311.    wt: 4:   11 What are real lengths and numbers
  312.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  313.    wt: 4:   17 Efficient Ways to Add and Subtract
  314.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  315.    wt: 4:   14 Adding and Subtracting with Like Denominators
  316.    wt: 4:   11 Simplification an Algebraic View
  317.    wt: 4:   3 Unit fraction of a fraction
  318.    wt: 4:   1 What is a fraction
  319.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  320.    wt: 4:   26 Divisibility by 2 3 5 Example
  321.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  322.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  323.    wt: 4:   15 Remainder Arithmetic Modulo 9 Example
  324.    wt: 4:   14 Remainder Arithmetic Modulo 9 Example
  325.    wt: 4:   12 Remainder Arithmetic Modulo 10 Example
  326.    wt: 4:   8 Remainder Arithmetic Morulo 5 Examples II
  327.    wt: 4:   7 Remainder Arithmetic Modulo 5 Examples I
  328.    wt: 4:   10 video Prime Factorization upto 23 squared
  329.    wt: 4:   11 Another Single Digit Divisor Example
  330.    wt: 4:   7 Long Divison Mistake Catching
  331.    wt: 4:   6 Why Decimal Long Division Methods Works Take I
  332.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  333.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  334.    wt: 4:   Video Power Notation in Decimal Expansion
  335.    wt: 4:   7 Adding decimal fractions using decimal point
  336.    wt: 4:   6. Counting and adding units and mixed units
  337.    wt: 4:   5. How to add decimals C. Examples
  338.    wt: 4:   1. Explaining Addition Table
  339.    wt: 4:   10 Names for Big Numbers and Powers of Ten Expansion
  340.    wt: 4:   Quick history of numbers and algebra
  341.    wt: 4:   016 Numbering Occidental Calendar Days
  342.    wt: 4:   8 Addition of Time Intervals via subtotaling
  343.    wt: 4:   Example 1 volume of a pyramid
  344.    wt: 4:   5 Area Under Curve Exercise
  345.    wt: 4:   3 Two Chain Rule Method Exercises
  346.    wt: 4:   1 Two cubic sketching exercises with 1st derivative
  347.    wt: 4:   36 Cube root derivative animated
  348.    wt: 4:   34 Derivative of exponential function
  349.    wt: 4:   28 Chain Rule Preparation for a Proof
  350.    wt: 4:   11 Limits at infinity Three Examples
  351.    wt: 4:   8 Four Animated Examples
  352.    wt: 4:   7 Evaluation by immediate or delayed substitution
  353.    wt: 4:   PostScript For and Against Decimal Perspectives
  354.    wt: 4:   Chapter 16. Velocity Approximation
  355.    wt: 4:   Chapter 15. Slope Approximation
  356.    wt: 4:   Chapter 13. Acceleration
  357.    wt: 4:   Chapter 6. Slopes and Vertical Shifts
  358.    wt: 4:   Chapter 4. More Slope Sign Analysis
  359.    wt: 4:   Chapter 2. Slopes and Ski Trails
  360.    wt: 4:   Fall 1983 Calculus Appetizer
  361.    wt: 4:   Chapter 31 Direct and Indirect Reason
  362.    wt: 4:   Chapter 20. Degrees and Radians
  363.    wt: 4:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  364.    wt: 4:   Postscript What is a Variable
  365.    wt: 4:   Chapter 9 Talking about Numbers or Quantities
  366.    wt: 4:   Chapter 8 Three Skills For Algebra
  367.    wt: 4:   Chapter 6 Change of Language
  368.    wt: 4:   Chapter 3 Chains of Reason
  369.    wt: 4:   Annotated Links to Material Elsehwere
  370.    wt: 4:   Chapter 3 Algebra Difficulties
  371.    wt: 4:   Postscript C Consistency as a Tool for Reason
  372.    wt: 4:   Chapter 19 What is in chapters 20 to 24
  373.    wt: 4:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  374.    wt: 4:   Chapter 11 Accidental Patterns
  375.    wt: 4:   Chapter 9 What is in Chapters 10 to 18
  376.    wt: 4:   Chapter 8 Change of Language
  377.    wt: 4:   R Why Learn Mathematics Skills
  378.    wt: 4:   O On Learning Mathematics and Science
  379.    wt: 4:   Systematic Algebra Skill Development Missing Links
  380.    wt: 3:   J LAMP Introduction Extrinsic Origins
  381.    wt: 3:   I LAMP Introduction Study Habits
  382.    wt: 3:   H LAMP Introduction Instructional Concepts
  383.    wt: 3:   F LAMP Introduction Prerequisites
  384.    wt: 3:   8 analytic geometry etc
  385.    wt: 3:   3 Euclidean Geometry Leanly
  386.    wt: 3:   Teach the teachers plus goals
  387.    wt: 3:   Math Ed if it must be short make it lean effective
  388.    wt: 3:   Mathematics Education Professors
  389.    wt: 3:   what should be learnt and When
  390.    wt: 3:   mathematics in context
  391.    wt: 3:   five decades make a difference
  392.    wt: 3:   Secondary Two Mathematics
  393.    wt: 3:   Secondary One Mathematics
  394.    wt: 3:   geometric implications for algebra
  395.    wt: 3:   05 13 OldSiteEntrancePage
  396.    wt: 3:   02 20 mathematics education references
  397.    wt: 3:   Operational Viewpoint to Value
  398.    wt: 3:   mathematics instruction in general
  399.    wt: 3:   Motivation and Context Problem
  400.    wt: 3:   Leaner mathematics curriculum
  401.    wt: 3:   chapitre 07 01 principle D induction mathematique
  402.    wt: 3:   chapitre 04 04 Parlons de la logique
  403.    wt: 3:   chapitre 02 00 La Communication des idees
  404.    wt: 3:   2 Unlike resistors in parallel01
  405.    wt: 3:   24 Standards For Skill Develoment Take II
  406.    wt: 3:   23 Modularized Skill Development Modularized Rigor
  407.    wt: 3:   18 Primary School Mathematics
  408.    wt: 3:   17 Math Booklets for children and young teenagers
  409.    wt: 3:   14 Multiplication and Times Tables
  410.    wt: 3:   4 Learning Takes Time and Effort
  411.    wt: 3:   Ages 12 to 14 Skills with take home value
  412.    wt: 3:   22 Square Root function graphically
  413.    wt: 3:   20 Interchanging coordinates a reflection
  414.    wt: 3:   16 Increasing or decreasing on intervals
  415.    wt: 3:   15 Sign analysis of functions
  416.    wt: 3:   12 Function Domain Recognition Exercises
  417.    wt: 3:   5 Function notation for geometric transformations
  418.    wt: 3:   2 Algebraic use of function notation
  419.    wt: 3:   5 quadratics completing the square
  420.    wt: 3:   4 quadratics difference of two squares
  421.    wt: 3:   Quadratics in 10 steps
  422.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  423.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  424.    wt: 3:   2 Square Root Simplification a prequel
  425.    wt: 3:   1 Polynomials Distributive Law
  426.    wt: 3:   Rewriting algebraic substitution as function substitutions
  427.    wt: 3:   16 cotangent function Definition Graph and Inverse
  428.    wt: 3:   15 cosecant function Definition Graph and Inverse
  429.    wt: 3:   14 secant function Definition Graph and Inverse
  430.    wt: 3:   12 motivation for term arctan
  431.    wt: 3:   10 arctan left inverse of tangent Definition
  432.    wt: 3:   9 motivation for name arcsin
  433.    wt: 3:   6 Radian Measure to Degrees
  434.    wt: 3:   5 Degrees to Radian Measure
  435.    wt: 3:   12 From Applied To Pure Mathematics
  436.    wt: 3:   9 Head to Tail Coordinate View
  437.    wt: 3:   Vector and Complex Number Applet
  438.    wt: 3:   4 graphing y=Asin(x c)
  439.    wt: 3:   3 graphing y=f(x c) plus K
  440.    wt: 3:   1 graphing y=f(x a)
  441.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  442.    wt: 3:   Straight Lines ASA Intersection Study More
  443.    wt: 3:   Straight Lines ASA Intersection Study
  444.    wt: 3:   A Straight Line Slope Scaling Properties
  445.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  446.    wt: 3:   12 Straight Lines Graphing mx plus b
  447.    wt: 3:   11 Straight Lines Graphing y=mx
  448.    wt: 3:   8 Straight Lines Equation for vertical
  449.    wt: 3:   17 tangent function angle sum formulas
  450.    wt: 3:   25 tangent double angle formula Slope connection
  451.    wt: 3:   24 tangent Angle Difference Formula
  452.    wt: 3:   20 sine and cosine Double Angle Formulas
  453.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  454.    wt: 3:   17C sine and cosine double triple angle formulas
  455.    wt: 3:   15 sine cosine Complementary Angle Relations
  456.    wt: 3:   11 tangent function undefined when terminal side vertical
  457.    wt: 3:   10 Graphs of sines and cosines many periods
  458.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  459.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  460.    wt: 3:   2 Quadrant I reference Angles
  461.    wt: 3:   13 Trig Formulas for dot and cross Products
  462.    wt: 3:   11 sine and cosine double triple angle formulas
  463.    wt: 3:   9 The complex number valued trig function cis
  464.    wt: 3:   7 Second Way to Calculate Products
  465.    wt: 3:   2 Complex Numbers made easier we hope
  466.    wt: 3:   8 Triangles Cascade Problem Solving
  467.    wt: 3:   4 Trigonometric Ratios For Two Special Triangles
  468.    wt: 3:   3 Trigonometric Ratios sine and cosine
  469.    wt: 3:   Why Trigonometry the whyslopes view
  470.    wt: 3:   11 Triangle Similarity Missing Side Problem
  471.    wt: 3:   8 Similarity of Triangles and Polygons
  472.    wt: 3:   6 Geometric Diagrams in Class
  473.    wt: 3:   3 Similarity by Design with coordinates
  474.    wt: 3:   1 Early Concept of Like or Similar Shapes
  475.    wt: 3:   10 Midpoint of [a b] and [b a]
  476.    wt: 3:   5 Algebraic View of Slopes
  477.    wt: 3:   1 Numerical view of lines and their equations
  478.    wt: 3:   12 Spatial Coordinates
  479.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  480.    wt: 3:   8 Distance Between Points on a Line
  481.    wt: 3:   4 Polar Coordinates to and from
  482.    wt: 3:   2 Cartesian Coordinates with signs
  483.    wt: 3:   21 Parallelograms
  484.    wt: 3:   18 Triangle Similarity Take 1
  485.    wt: 3:   16 Angles Subtended By Chords and Diameters
  486.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  487.    wt: 3:   14 Parallel Lines Postulate
  488.    wt: 3:   3 Isometry of Triangles Congruence
  489.    wt: 3:   6 Figuring with Maps Not to Scale
  490.    wt: 3:   2 Measuring Area Directly
  491.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  492.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  493.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  494.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  495.    wt: 3:   11 Signed Number Addition and Addition Properties
  496.    wt: 3:   9 Division with Digits after Decimal Point
  497.    wt: 3:   4 Location of Point in Decimal Addition
  498.    wt: 3:   C Three Decimal Subtraction Methods
  499.    wt: 3:   A Decimal Addition Columm Methods
  500.    wt: 3:   4 Commutative Law Groups Counting Form
  501.    wt: 3:   2 Fraction Operations Physical Development
  502.    wt: 3:   5 Proportionality in Equivalent Fractions
  503.    wt: 3:   1 What is Proportionality
  504.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  505.    wt: 3:   2 Linear Equation Literal Solution
  506.    wt: 3:   1 Changing Calculations
  507.    wt: 3:   6 Equations and Systems Equivalent or Implied
  508.    wt: 3:   5 Equality in Algebra
  509.    wt: 3:   3 Product Axioms Two Forms
  510.    wt: 3:   5 Greater More Less Than Signs in General
  511.    wt: 3:   4 Comparison of Negative Numbers
  512.    wt: 3:   3 More and Less Than with Unlike Signs
  513.    wt: 3:   1 Real Numbers Comparison
  514.    wt: 3:   16 Real Numbers Comparison
  515.    wt: 3:   13 Real Number Subtraction
  516.    wt: 3:   12 Real Number Additive Inverses or Negatives
  517.    wt: 3:   7 Real Numbers as Line Cordinates
  518.    wt: 3:   1 Whole and Natural Numbers
  519.    wt: 3:   2 Computation Rules Evaluation
  520.    wt: 3:   1 Formulas Dependence and Function Notation
  521.    wt: 3:   5 Algebraic Solutions Introduction
  522.    wt: 3:   3 Four Examples
  523.    wt: 3:   2 Three Examples
  524.    wt: 3:   9 Three Examples
  525.    wt: 3:   6 Three Examples
  526.    wt: 3:   5 Three Examples
  527.    wt: 3:   3 Two Examples
  528.    wt: 3:   2 Three Examples
  529.    wt: 3:   Formula Usage Show Work Format
  530.    wt: 3:   13 Naming Identifying Formulas with Words
  531.    wt: 3:   8 Compound Interest Formula Evaluation
  532.    wt: 3:   3 Adding Words To Arithmetic
  533.    wt: 3:   1 Three Skills For Algebra
  534.    wt: 3:   4 Greater More Less Than Signs in General
  535.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  536.    wt: 3:   13 GCD from given Prime Factorization
  537.    wt: 3:   7 GCD and LCM from prime factorization
  538.    wt: 3:   3 Counting with Tables and Trees II
  539.    wt: 3:   7 negative and additive inverse
  540.    wt: 3:   2 signed and unsigned numbers as coordinates
  541.    wt: 3:   1 Addition and Subtraction with Units
  542.    wt: 3:   B Fractions and Two Term Ratios
  543.    wt: 3:   21 Reciprocals for Fractions and Wholes
  544.    wt: 3:   12 Fraction Comparison
  545.    wt: 3:   9 Improper Fractions and Mixed Numbers
  546.    wt: 3:   13 Subtraction with Additive Inverse
  547.    wt: 3:   12 Adding Integers More Examples
  548.    wt: 3:   6 Multiplication by Natural Numbers
  549.    wt: 3:   3 Adding Movements with same direction
  550.    wt: 3:   23 Remainder Arithmetic Modulo 2
  551.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  552.    wt: 3:   21 Remainder Arithmetic Modulo 3
  553.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  554.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  555.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  556.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  557.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  558.    wt: 3:   18 video Count Factors given Prime Factorization
  559.    wt: 3:   15 video Factors of 20 using Prime Factorization
  560.    wt: 3:   9 video Prime Factorization upto 19 squared
  561.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  562.    wt: 3:   4 video Prime Factorization Introduction
  563.    wt: 3:   3 video Primes and Composites from 9 times table
  564.    wt: 3:   1 video how Products are bigger than factor
  565.    wt: 3:   Long Division Backwards more
  566.    wt: 3:   Long Division Backward
  567.    wt: 3:   12 Why Long Division Works Take III
  568.    wt: 3:   10 Division by Five Long and Short Ways
  569.    wt: 3:   9 Why Long Division Works Take II
  570.    wt: 3:   1 Divsion Physical Examples
  571.    wt: 3:   5 Decimal Fraction Multiplication
  572.    wt: 3:   Subtraction with J Conversions Example
  573.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  574.    wt: 3:   8 What skills and work habits to require
  575.    wt: 3:   1 Place Value in Three Digit Whole Numbers
  576.    wt: 3:   Formula Evaluation how to show work
  577.    wt: 3:   Expression Evaluation how to show work
  578.    wt: 3:   The 12 Times Table Visually
  579.    wt: 3:   015 School and work day counting tables
  580.    wt: 3:   014 Counting Days with Calendars
  581.    wt: 3:   013 Travel Time Tables
  582.    wt: 3:   012 Division of Time Intervals by Time Intervals
  583.    wt: 3:   010 Repeated Addition of Time Intervals
  584.    wt: 3:   4 Mixing and Changing Units of Time
  585.    wt: 3:   2 Time and Date Matters in School
  586.    wt: 3:   Example 2 volume of a cone
  587.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  588.    wt: 3:   Area Between Crossing Curves Lesson Take 1
  589.    wt: 3:   Example 4 with x function of y
  590.    wt: 3:   Example 3
  591.    wt: 3:   Area Between Curves Lesson Take 2
  592.    wt: 3:   Area Between Curves Lesson Take 1
  593.    wt: 3:   2 Indefinite Integrals Exercises
  594.    wt: 3:   A Related lessons in Volume 3
  595.    wt: 3:   30Chain Rule A Proof
  596.    wt: 3:   29 Chain Rule Optional Reading
  597.    wt: 3:   23 Chain Rule in general
  598.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  599.    wt: 3:   15 sine and cosine derivatives 3rd step
  600.    wt: 3:   13 sine and cosine derivatives 1st step
  601.    wt: 3:   3 Motivation for Limit Definition Take 2
  602.    wt: 3:   5 Jumps and absence of unlimited error control
  603.    wt: 3:   2 Algebraic codification
  604.    wt: 3:   Postscript One Sided and Intermediate Value Theorems
  605.    wt: 3:   .H2 Lipshitz Conditions Integration Calculus Reform
  606.    wt: 3:   .H1 First Fundamental Theorem of Calculus
  607.    wt: 3:   G.2 Differentiable Functions Mean Value Theorem
  608.    wt: 3:   F.3 Intermediate Value Theorem
  609.    wt: 3:   B3 Bolzano Weierstrass Theorem
  610.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  611.    wt: 3:   Chapter 21 Arrow Addition
  612.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  613.    wt: 3:   Chapter 12. Units and Slopes
  614.    wt: 3:   Chapter 10 Slopes and Units
  615.    wt: 3:   Chapter 9 About First Courses in Calculus
  616.    wt: 3:   Chapter 7 Slopes and Velocity
  617.    wt: 3:   Appendix C. How to Read
  618.    wt: 3:   Appendix B. How To Learn
  619.    wt: 3:   Chapter 30 Truth Tables
  620.    wt: 3:   Chapter 27 Shorthand Symbols as Pronouns
  621.    wt: 3:   Chapter 24. Personal Investment and Pension EGS
  622.    wt: 3:   Chapter 23. Notation For Sums
  623.    wt: 3:   Chapter 18. Rules for Algebra
  624.    wt: 3:   Chapter 15. Solving Linear Equations
  625.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  626.    wt: 3:   Chapter 13. Second Reading Guide
  627.    wt: 3:   Chapter 12. Shorthand Usage Guide
  628.    wt: 3:   Chapter 11. Why Shorthand
  629.    wt: 3:   Solutions For Arithmetic Exercises
  630.    wt: 3:   Chapter 4 Longer Chains of Reason
  631.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  632.    wt: 3:   Postscript B Mathematics Education References
  633.    wt: 3:   Postscript A Three Remarks
  634.    wt: 3:   Chapter 24 Direct and Indirect Reason
  635.    wt: 3:   Chapter 23 Truth Tables
  636.    wt: 3:   Chapter 20 Shorthand Symbols as Pronouns
  637.    wt: 3:   Chapter 7 Longer Chains of Reason
  638.    wt: 3:   Chapter 6 Chains of Reason
  639.    wt: 3:   S Adding words to algebra
  640.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  641.    wt: 3:   N Mathematics Prepare for College Studies
  642.    wt: 3:   N Improving Marks on Tests and Finals
  643.    wt: 3:   I. Logic and language skills
  644.    wt: 3:   D. Check work a must with a caution
  645.    wt: 3:   Helping the Blind in Logic and Mathematics
  646.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  647.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  648.    wt: 2:   K LAMP Musings Science Education
  649.    wt: 2:   G LAMP Introduction Problem Solving Skills
  650.    wt: 2:   A Introduction Objectives
  651.    wt: 2:   Skills Chapter 5 Calculus
  652.    wt: 2:   Ramblings Extrinsic numbers theory
  653.    wt: 2:   Skills Chapter 1 Arithmetic
  654.    wt: 2:   Skills Chapter 0 Introduction
  655.    wt: 2:   11 pure mathematics
  656.    wt: 2:   10 statistics
  657.    wt: 2:   9 combinatorics probability sets
  658.    wt: 2:   6 polynomials etc
  659.    wt: 2:   4 algebra
  660.    wt: 2:   What is POMME
  661.    wt: 2:   three goals to set for students
  662.    wt: 2:   permissions for teachers
  663.    wt: 2:   About site lesson plans
  664.    wt: 2:   teacher certification
  665.    wt: 2:   learning takes time
  666.    wt: 2:   grouping students according to ability
  667.    wt: 2:   Education Reform Inconsistencies
  668.    wt: 2:   how letters appear
  669.    wt: 2:   teaching tips
  670.    wt: 2:   mathematics curriculum shifts
  671.    wt: 2:   Lessening Algebra Difficulties
  672.    wt: 2:   the trouble with algebra
  673.    wt: 2:   04 29 New Mathematics Curriculum
  674.    wt: 2:   04 25 when to stop or suspend mathemat
  675.    wt: 2:   formal or informal peer review
  676.    wt: 2:   Different Kinds of Reasoning in maths
  677.    wt: 2:   Four ways to improve education reform
  678.    wt: 2:   Prequel In For A Penny In For A Pound
  679.    wt: 2:   fairness and inductive principles for instruction
  680.    wt: 2:   words for mathematics instructor
  681.    wt: 2:   chapitre 12 00 les iles et division
  682.    wt: 2:   chapitre 04 09 Regles accidentelles
  683.    wt: 2:   chapitre 04 08 Limitations et benefices
  684.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  685.    wt: 2:   chapitre 04 06 engagements
  686.    wt: 2:   chapitre 04 05 Implication versus suggestion
  687.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  688.    wt: 2:   chapitre 04 02 Deuxieme enigme
  689.    wt: 2:   chapitre 04 00 Les regles d implication
  690.    wt: 2:   chapitre 01 00 Introduction
  691.    wt: 2:   problemes algebre et arithmetique
  692.    wt: 2:   deux definitions pour variable
  693.    wt: 2:   3 Energy Power Heat08
  694.    wt: 2:   24 Standards For Skill Develoment
  695.    wt: 2:   22 Student Centered Highschool Mathematics
  696.    wt: 2:   11 Help and Defend Your Child or Teens Education
  697.    wt: 2:   9 Streaming by Student Cooperation
  698.    wt: 2:   8 The Effect of Negative Remarks
  699.    wt: 2:   3 Preparing for Science Studies
  700.    wt: 2:   2 Reading and Writing Skills
  701.    wt: 2:   Ages 12 to 14 Arithmetic
  702.    wt: 2:   Ages 10 to 12 Arithmetic
  703.    wt: 2:   Ages 3 plus to 4 plus
  704.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  705.    wt: 2:   19 Horizontal line rule and method
  706.    wt: 2:   18 Vertical Line Rule and Method
  707.    wt: 2:   13 From one to one to many to one
  708.    wt: 2:   10 Interval Notation
  709.    wt: 2:   8 Set view of relations and functions
  710.    wt: 2:   1 Geometric Introduction of Function Notation
  711.    wt: 2:   Introduction Reading Guide
  712.    wt: 2:   11 Growth and Decay in Biology
  713.    wt: 2:   8 arcsin left inverse of sine Graph
  714.    wt: 2:   6 Graph of arccos function
  715.    wt: 2:   4 possible motivation for term arccos
  716.    wt: 2:   3 Left Inverse of cosine arccos definition
  717.    wt: 2:   8 Parallel Vectors
  718.    wt: 2:   4 Resultant of a Sum of Movements
  719.    wt: 2:   Triangle Angles Sum To 180 Degrees
  720.    wt: 2:   Straight Lines Instersection Solving Equations
  721.    wt: 2:   C Straight Lines Slope from Coordinates
  722.    wt: 2:   B Straight Line Slope Scaling Properties More
  723.    wt: 2:   10 Straight Lines through Origin Equations More
  724.    wt: 2:   9 Straight Lines through Origin Equations
  725.    wt: 2:   5 Tangent Function Graph
  726.    wt: 2:   28 Expressing products of sines cosines as sums
  727.    wt: 2:   27 Logarithmic use of products of sines and cosines
  728.    wt: 2:   26 Formulas for products of sines and cosines
  729.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  730.    wt: 2:   17G Pythagorean Theorem Converse
  731.    wt: 2:   17E Trig Formulas for dot and cross Products
  732.    wt: 2:   12 Graph of tangent function for one period
  733.    wt: 2:   9 Graphs of sine and cosine over one period
  734.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  735.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  736.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  737.    wt: 2:   16 References and Originality Question
  738.    wt: 2:   15 Pythagorean Theorem Converse
  739.    wt: 2:   3 Addition Properties
  740.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  741.    wt: 2:   1 Angle Measurement with Degrees
  742.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  743.    wt: 2:   12 Triangles Similarity More Problems
  744.    wt: 2:   4 Similarity Definition with Coordinate
  745.    wt: 2:   Four Simple Exercises
  746.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  747.    wt: 2:   4 Equations for lines three forms
  748.    wt: 2:   3 Slope product for perpendicular lines
  749.    wt: 2:   2 point slope equation for a line
  750.    wt: 2:   11 Triangle Inequality
  751.    wt: 2:   7 Complex Numbers Appetizer
  752.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  753.    wt: 2:   PS A Kite Construction Methods
  754.    wt: 2:   19 Right Triangle Similarity
  755.    wt: 2:   17 Right Bisectors of Triangle Sides
  756.    wt: 2:   12 Side Angle Side Failure
  757.    wt: 2:   11 Triangle Construction Fails
  758.    wt: 2:   10 Dropping a perpendicular to line
  759.    wt: 2:   9 Construction of a right bisector
  760.    wt: 2:   8 Isoceles Triangles
  761.    wt: 2:   7 Angle Side Angle
  762.    wt: 2:   1 Initial Concepts and Terms
  763.    wt: 2:   A Measurement with Ruler Proper Use
  764.    wt: 2:   musings do not puiblish real numbers
  765.    wt: 2:   A Signed Number Arithmetic Review
  766.    wt: 2:   21 Addition of Multiples of a Single Vector
  767.    wt: 2:   12 Real Numbers Line Signed Coordinates
  768.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  769.    wt: 2:   2 Counting Digits in Decimal Multiplication
  770.    wt: 2:   8 Column Multiplication Methods in General
  771.    wt: 2:   6 Column Methods for Decimal Multiplication
  772.    wt: 2:   5 Distributive Law for Whole Numbers
  773.    wt: 2:   3 Multiplicative Counting Skills Principles
  774.    wt: 2:   2 Combing Counts Addition Skills and Principles
  775.    wt: 2:   2 Algebraic View
  776.    wt: 2:   1 Equivalent Computation Rules
  777.    wt: 2:   15 Real Number Division
  778.    wt: 2:   14 Real Number Multiplication
  779.    wt: 2:   11 Real Number Addition
  780.    wt: 2:   10 Real Number Lengths and Signs
  781.    wt: 2:   9 Coordinates for Regions in Space
  782.    wt: 2:   5 Rational Numbers More
  783.    wt: 2:   4 Rational Numbers
  784.    wt: 2:   3 Fractions
  785.    wt: 2:   More Exercises
  786.    wt: 2:   Simple Exercises
  787.    wt: 2:   2 GE II Comparison
  788.    wt: 2:   1 GE Substitution four examples
  789.    wt: 2:   1 Proper Equal Sign Usage
  790.    wt: 2:   10 One Example
  791.    wt: 2:   8 One Example
  792.    wt: 2:   7 Two Examples
  793.    wt: 2:   4 Two Examples
  794.    wt: 2:   Using Letters for Physical Quantities
  795.    wt: 2:   7 Compound Interest Formula Introduction
  796.    wt: 2:   1 Written work formats for developing and showing skill
  797.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  798.    wt: 2:   7 Cautious or Safe Set Construction
  799.    wt: 2:   3 Counting with Sets etc
  800.    wt: 2:   2 Venn Diagrams
  801.    wt: 2:   2 More and Less Than with Unlike Signs
  802.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  803.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  804.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  805.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  806.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  807.    wt: 2:   8 GCD from Euclidean Algorithm
  808.    wt: 2:   5 Common Divisors 60 45 via Prime
  809.    wt: 2:   4 LCM of 8 and 10 via Prime
  810.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  811.    wt: 2:   1 Least Common Multiples LCM Introduction
  812.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  813.    wt: 2:   2 Counting with Tables and Trees I
  814.    wt: 2:   4 signed coordinates for regions in space
  815.    wt: 2:   6 Simplification of Fractions with Units
  816.    wt: 2:   3 Multiplying Units and Numbers
  817.    wt: 2:   2 Equality and Units
  818.    wt: 2:   D Three Term Ratios
  819.    wt: 2:   22 Complex Compound Fractions
  820.    wt: 2:   20 Dividing Fractions the Why
  821.    wt: 2:   5 Equivalent Fractions
  822.    wt: 2:   4 Fraction Multiplication
  823.    wt: 2:   2 Unit Fraction Multiplication
  824.    wt: 2:   D Remainders Modulo 11 Pair Rule
  825.    wt: 2:   10 Integer Multiplication Formulas
  826.    wt: 2:   5 Zero Movement and Additive Inverses
  827.    wt: 2:   1 Integers as Coordinates
  828.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  829.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  830.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  831.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  832.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  833.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  834.    wt: 2:   5 Remainder Arithmetic Modulo 5
  835.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  836.    wt: 2:   1 Remainder Arithmetic Modulo 10
  837.    wt: 2:   20 Uniqueness of Prime Factorization
  838.    wt: 2:   19 video Prime Factorization Unique
  839.    wt: 2:   17 Identify and Count Factors using Primes
  840.    wt: 2:   14 video Factors of 24 Take II
  841.    wt: 2:   13 video Factors of 24 using prime
  842.    wt: 2:   8 video Prime Factorization upto 19
  843.    wt: 2:   2 Prime and Composites less than 16
  844.    wt: 2:   Division with Counts and Length
  845.    wt: 2:   8 Correcting the Mistake
  846.    wt: 2:   2 Division with Single Digit Divisors
  847.    wt: 2:   D Decimal Multiplication Methods Derived
  848.    wt: 2:   C Counting Areas with Powers of Ten
  849.    wt: 2:   6 Multiplication Commutes Order Not Important
  850.    wt: 2:   4 Two and Three Digit Multipliers
  851.    wt: 2:   1 Why 3 times 5 gives 15
  852.    wt: 2:   Subtraction Another Video Lesson
  853.    wt: 2:   8 Subtraction with Units of Measure
  854.    wt: 2:   5 A Tip for Efficent Subtraction
  855.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  856.    wt: 2:   4. How to add with decimals B with conversions
  857.    wt: 2:   2 Decimal Counting Practices
  858.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  859.    wt: 2:   011 Division of Time Intervals By Numbers
  860.    wt: 2:   7 Addition of Time Intervals
  861.    wt: 2:   6 How long is a million seconds
  862.    wt: 2:   3 Units and Lengths of Time
  863.    wt: 2:   1 Intro of Kids To Time Date Skills
  864.    wt: 2:   Example 2
  865.    wt: 2:   Example 1
  866.    wt: 2:   1 Chain Rule in Reverse Integration Method
  867.    wt: 2:   3 Second derivative test
  868.    wt: 2:   31 Derivatives of inverse functions
  869.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  870.    wt: 2:   26 Chain Rule Recognising outer inner functions
  871.    wt: 2:   22 Chain Rule for polynomials
  872.    wt: 2:   19 Chain Rule for linear functions
  873.    wt: 2:   18 Chain Rule Introduction
  874.    wt: 2:   17 Derivatives of quotients of sine and cosine
  875.    wt: 2:   14 sine and cosine derivatives 2nd step
  876.    wt: 2:   12 Quotient rule examples
  877.    wt: 2:   8 Differentiation of polynomials
  878.    wt: 2:   2 Motivation for Limit Definition Take 1
  879.    wt: 2:   10 Three one sided limits with infinite values
  880.    wt: 2:   6 Continuity at a point
  881.    wt: 2:   3 Decimal insights for limits continuity convergence
  882.    wt: 2:   1 Numerical introduction
  883.    wt: 2:   G.6 Bounded Derivatives implies Lipshitz Continuity
  884.    wt: 2:   G.3 Constant Difference Theorem Proof
  885.    wt: 2:   F.5b Extreme Value Theorem
  886.    wt: 2:   F.1 What Functions are Continuous
  887.    wt: 2:   E2 Algebraic Properties of Limits
  888.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  889.    wt: 2:   C Triangle Inequalities
  890.    wt: 2:   A1. Introduction
  891.    wt: 2:   Chapter 23 Links To Trigonometry
  892.    wt: 2:   Chapter 22 Complex Numbers
  893.    wt: 2:   Chapter 11. Graphing Slope versus Position
  894.    wt: 2:   Chapter 8. Slope Interpretation
  895.    wt: 2:   Chapter 1.Introduction
  896.    wt: 2:   Chapter 28 Occurrence Tables
  897.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  898.    wt: 2:   Chapter 21. Third Reading Guide
  899.    wt: 2:   Chapter 19. Functions and Sets
  900.    wt: 2:   Chapter 16. Painless Theorem Proving
  901.    wt: 2:   Chapter 12 Four Phases
  902.    wt: 2:   Chapter 11 Elementary Instruction
  903.    wt: 2:   Chapter 10 Transition
  904.    wt: 2:   Chapter 7 Two Treatments of Geometry
  905.    wt: 2:   Chapter 1 Introduction
  906.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  907.    wt: 2:   Postscript B More on Story Telling and Reason
  908.    wt: 2:   Chapter 21 Occurrence Tables
  909.    wt: 2:   Chapter 18 Sense and Knowledge
  910.    wt: 2:   Chapter 1 Introduction
  911.    wt: 2:   Three Remarks
  912.    wt: 2:   M Words to extend arithmetic
  913.    wt: 2:   L Skills with take home value
  914.    wt: 2:   H Jigsaw puzzles and problem solving
  915.    wt: 2:   G. Written work formats for developing and showing skill
  916.    wt: 2:   F. The student teacher tutor feedback loop
  917.    wt: 2:   A. Skill has to be seen to believed
  918.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  919.    wt: 2:   Road Safety Questions
  920.    wt: 1:   Skills Chapter 4 Logic
  921.    wt: 1:   Skills Chapter 2 Geometry
  922.    wt: 1:   2 arithmetic with signed numbers
  923.    wt: 1:   1 arithmetic with unsigned numbers
  924.    wt: 1:   why bother
  925.    wt: 1:   which way to go
  926.    wt: 1:   activities for students
  927.    wt: 1:   links Education Resources online
  928.    wt: 1:   site eurekas
  929.    wt: 1:   key notes and themes
  930.    wt: 1:   modern education
  931.    wt: 1:   three difficulties
  932.    wt: 1:   What to Tell Students
  933.    wt: 1:   02 21 words for teachers
  934.    wt: 1:   cultivating intelligence
  935.    wt: 1:   How to be a better instructor
  936.    wt: 1:   chapitre 05 00 Deception
  937.    wt: 1:   chapitre 04 01 Premiere enigme
  938.    wt: 1:   logique deux enigme
  939.    wt: 1:   4 Energy Power Heat09
  940.    wt: 1:   2 Energy Power Heat07
  941.    wt: 1:   1 Energy Power Heat06
  942.    wt: 1:   C Energy Power03
  943.    wt: 1:   A Energy Power01
  944.    wt: 1:   1 Like resistors in series
  945.    wt: 1:   F Unlike Resistors in Series
  946.    wt: 1:   E Kirchoffs Second Law
  947.    wt: 1:   D Kirchoff First Law
  948.    wt: 1:   C Electromotive force conventional current02
  949.    wt: 1:   B Electromotive force conventional current01
  950.    wt: 1:   A Circuit Elements
  951.    wt: 1:   Home Tutoring and Home Schooling
  952.    wt: 1:   15 Counting For Parents
  953.    wt: 1:   10 Ends values for work study instruction
  954.    wt: 1:   7 Student Motivation
  955.    wt: 1:   1 Speaking Skills
  956.    wt: 1:   Ages 12 to 14 Geometry
  957.    wt: 1:   Ages 10 to 12 Geometry
  958.    wt: 1:   Ages 9 to 10
  959.    wt: 1:   Ages 8 to 9
  960.    wt: 1:   Ages 7 to 8
  961.    wt: 1:   Ages 6 to 7
  962.    wt: 1:   Ages 4 plus to 5 plus
  963.    wt: 1:   26 Function definitions done and coming
  964.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  965.    wt: 1:   23 Inverse Functions
  966.    wt: 1:   9 Set theory term relation possible origins
  967.    wt: 1:   7 Functions with finite domains
  968.    wt: 1:   2 Column Multiplication Method
  969.    wt: 1:   7 arcsin left inverse of sine Definition
  970.    wt: 1:   15 Dot and Cross Product
  971.    wt: 1:   13 Velocity Vectors in Physics
  972.    wt: 1:   6 Vectors with Coordinates
  973.    wt: 1:   2 Signed Coordinates
  974.    wt: 1:   1 Unsigned Coordinates
  975.    wt: 1:   Straight Lines Intersection of
  976.    wt: 1:   4 Tangent Function Properties
  977.    wt: 1:   1 Straight Lines Slope Concept
  978.    wt: 1:   17F Law of cosines
  979.    wt: 1:   8 period of tangent function
  980.    wt: 1:   7 period of sine and cosine
  981.    wt: 1:   1 Unit Points Reflections Rotations
  982.    wt: 1:   20 N th Roots of Complex Numbers
  983.    wt: 1:   18 Sixth Roots of Unity
  984.    wt: 1:   14 Law of cosines
  985.    wt: 1:   6 Field Properties of Complex Number
  986.    wt: 1:   4 Multiplication Properties
  987.    wt: 1:   7 Trignometric Ratios Unit Circle
  988.    wt: 1:   2 Similarity By Design
  989.    wt: 1:   8 Mid Point Formula
  990.    wt: 1:   6 Intersection of lines by solving linear systems
  991.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  992.    wt: 1:   5 Side Angle Side
  993.    wt: 1:   2 Correspondence between Triangles
  994.    wt: 1:   Short Course on Euclidean Geometry
  995.    wt: 1:   1 Length Measurement
  996.    wt: 1:   About Folder Contents
  997.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  998.    wt: 1:   22 Multiplication of Signed Numbers
  999.    wt: 1:   E Long Division Methods more
  1000.    wt: 1:   D Long Division Methods
  1001.    wt: 1:   6 Unsigned Real Numbers
  1002.    wt: 1:   5 Independent versus Dependent Variables
  1003.    wt: 1:   4 Changing Letters
  1004.    wt: 1:   1 Essentially One Unknown
  1005.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  1006.    wt: 1:   10 Volume of Pyramid
  1007.    wt: 1:   6 Power Set Notation
  1008.    wt: 1:   5 Product Builder Notation
  1009.    wt: 1:   4 Subset Builder Notation
  1010.    wt: 1:   About Folder Contents
  1011.    wt: 1:   5 Square Roots with primes more still
  1012.    wt: 1:   4 Square Roots with primes more
  1013.    wt: 1:   2 Square Roots with Prime
  1014.    wt: 1:   12 GCD 2700 288 via Prime
  1015.    wt: 1:   4 Counting with Trees Product Rule Take I
  1016.    wt: 1:   1 Counting and Counting Methods I
  1017.    wt: 1:   9 subtracting signed numbers
  1018.    wt: 1:   6 adding signed numbers
  1019.    wt: 1:   5 lengths and signs of numbers
  1020.    wt: 1:   7 Converting or Changing Units
  1021.    wt: 1:   4 Fractions with Units
  1022.    wt: 1:   19 Dividing Fractions How TO
  1023.    wt: 1:   18 Efficient Ways to Multiply
  1024.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  1025.    wt: 1:   B Integer Long Division Multiple Choices
  1026.    wt: 1:   8 Multiplication by Signed Numbers Integers
  1027.    wt: 1:   7 Multiplication by Signs
  1028.    wt: 1:   4 Adding Movements wiht opposite directions
  1029.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  1030.    wt: 1:   16 video Factors of 980 using prime
  1031.    wt: 1:   12 LCD GCD and LCM using Primes
  1032.    wt: 1:   11 Efficient Square Rule Use
  1033.    wt: 1:   5 Long Division Include Zeroes or not
  1034.    wt: 1:   4 Division with 2 Digit Divsors
  1035.    wt: 1:   3 More One Digit Multipliers
  1036.    wt: 1:   9 22 Minute Subtraction Review Video
  1037.    wt: 1:   The 20 Times Table
  1038.    wt: 1:   About folder contents
  1039.    wt: 1:   5 Conversion Arithmetic
  1040.    wt: 1:   Summary
  1041.    wt: 1:   2 Second derivative test prequel
  1042.    wt: 1:   21 Chain Rule for powers
  1043.    wt: 1:   20 Chain Rule for Pulley Systems
  1044.    wt: 1:   10 Power rule for negative integers
  1045.    wt: 1:   9 Reciprocal rule
  1046.    wt: 1:   9 Limits Continuity and Composition
  1047.    wt: 1:   4 Numerical properties
  1048.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  1049.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  1050.    wt: 1:   F.5a Equicontinuity Theorems
  1051.    wt: 1:   F.2 Closed Range Theorem
  1052.    wt: 1:   E1 Error Control Inequalities
  1053.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  1054.    wt: 1:   index
  1055.    wt: 1:   Chapter 5. Slope Sign Tests
  1056.    wt: 1:   Postscript More on Better Performance
  1057.    wt: 1:   Postscript For Better Performance
  1058.    wt: 1:   Chapter 9 The Two Ends
  1059.    wt: 1:   Chapter 8 Modern Instruction
  1060.    wt: 1:   Chapter 5 Four References
  1061.    wt: 1:   Postscript A Story Telling
  1062.    wt: 1:   Chapter 15 Objective Processes
  1063.    wt: 1:   Chapter 10 Responsibility
  1064.    wt: 1:   Chapter 5 Deception
  1065.    wt: 1:   Chapter 2 Skill Development
  1066.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  1067.    wt: 1:   J. More on written work and showing skill
  1068.    wt: 1:   E. When and how to correct errors
  1069.    wt: 1:   C. Domino effect of being careful
  1070.    wt: 1:   How to Build Skills and Confidence
  1071.    wt: 1:   Implementation Notes
  1072.    wt: 1:   Which Way To Go

Extended Search

1119 matches:

  1.    wt: 9:   Skills Chapter 4 Logic
  2.    wt: 9:   Skills Chapter 2 Geometry
  3.    wt: 9:   8 analytic geometry etc
  4.    wt: 9:   Math Ed if it must be short make it lean effective
  5.    wt: 9:   what should be learnt and When
  6.    wt: 9:   mathematics in context
  7.    wt: 9:   Education Reform Inconsistencies
  8.    wt: 9:   five decades make a difference
  9.    wt: 9:   Maps Plans Drawings
  10.    wt: 9:   Secondary Three Mathematics
  11.    wt: 9:   talk the algebra talk
  12.    wt: 9:   three aims for mathematics students
  13.    wt: 9:   standards for course material
  14.    wt: 9:   Education in mathematics science and technology
  15.    wt: 9:   three kinds of reason in mathematics
  16.    wt: 9:   need for a mixed mathematics curriculum
  17.    wt: 9:   education an empirical art
  18.    wt: 9:   chapitre 07 00 Des chaines plus longues de la raison
  19.    wt: 9:   chapitre 06 00 Chaines de la raison
  20.    wt: 9:   chapitre 03 A Propos Des Prochains Chapitre
  21.    wt: 9:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  22.    wt: 9:   11 Growth and Decay in Biology
  23.    wt: 9:   10 Parallelogram Addition Method
  24.    wt: 9:   5 Head To Tail Arrow Addition
  25.    wt: 9:   Straight Lines Instersection Solving Equations
  26.    wt: 9:   Straight Lines Intersection of
  27.    wt: 9:   C Straight Lines Slope from Coordinates
  28.    wt: 9:   B Straight Line Slope Scaling Properties More
  29.    wt: 9:   5 Tangent Function Graph
  30.    wt: 9:   31 basic secant cosecant cotangent trig identities
  31.    wt: 9:   29 secant cosecant and cotangent for acute angles
  32.    wt: 9:   21 Logarithms Powers and Exponentials
  33.    wt: 9:   13 Trig Formulas for dot and cross Products
  34.    wt: 9:   12 cis formulas for sine cosines and tangent
  35.    wt: 9:   10 sine cosine Angle Sum Formulas via cis
  36.    wt: 9:   5 An Easy Proof of the Distributive Law
  37.    wt: 9:   5 Trigonometric Ratios For Tangent and Special Triangles
  38.    wt: 9:   11 Triangle Similarity Missing Side Problem
  39.    wt: 9:   8 Similarity of Triangles and Polygons
  40.    wt: 9:   1 Early Concept of Like or Similar Shapes
  41.    wt: 9:   5 Algebraic View of Slopes
  42.    wt: 9:   4 Equations for lines three forms
  43.    wt: 9:   1 Numerical view of lines and their equations
  44.    wt: 9:   PS C Similarity Use Recognize it in Trigonometry
  45.    wt: 9:   21 Parallelograms
  46.    wt: 9:   18 Triangle Similarity Take 1
  47.    wt: 9:   16 Angles Subtended By Chords and Diameters
  48.    wt: 9:   15 Triangle Angle Sum is 180 degrees
  49.    wt: 9:   14 Parallel Lines Postulate
  50.    wt: 9:   A Measurement with Ruler Proper Use
  51.    wt: 9:   14 Vector Head to Tail Sums and Resultants
  52.    wt: 9:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  53.    wt: 9:   8 Division and Mulplication of Compound Fractions
  54.    wt: 9:   7 Arithmetic with Infinite Decimal Expansions
  55.    wt: 9:   5 Fractions with Infinite Decimal Expansions
  56.    wt: 9:   3 Location of Point in Decimal Multiplication
  57.    wt: 9:   1 Fractions with Finite Decimal Expansions
  58.    wt: 9:   7 Decimals Multiplication Methods Examples
  59.    wt: 9:   6 Compound Interest Forward and Backwards
  60.    wt: 9:   3 Linear Equation Literal Solution More
  61.    wt: 9:   1 Changing Calculations
  62.    wt: 9:   12 Cone Cylinder Sphere Lesson Idea
  63.    wt: 9:   7 Compound Interest Formula Introduction
  64.    wt: 9:   6 Three Notions of What is a Variable
  65.    wt: 9:   1 More and Less Than for Counts and Measures
  66.    wt: 9:   3 Counting with Tables and Trees II
  67.    wt: 9:   17 Efficient Ways to Add and Subtract
  68.    wt: 9:   15 Adding and Subtracting with Unlike Denominators
  69.    wt: 9:   14 Adding and Subtracting with Like Denominators
  70.    wt: 9:   11 Simplification an Algebraic View
  71.    wt: 9:   1 What is a fraction
  72.    wt: 9:   24 Divisibility Tests for 2 3 5 9 10
  73.    wt: 9:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  74.    wt: 9:   18 Remainder Arithmetic Rule of 9 for checking sums II
  75.    wt: 9:   17 Remainder Arithmetic Rule of 9 for checking sums I
  76.    wt: 9:   5 Remainder Arithmetic Modulo 5
  77.    wt: 9:   2 Remainder Arithmetic Modulo 10 more
  78.    wt: 9:   1 Remainder Arithmetic Modulo 10
  79.    wt: 9:   19 video Prime Factorization Unique
  80.    wt: 9:   14 video Factors of 24 Take II
  81.    wt: 9:   8 video Prime Factorization upto 19
  82.    wt: 9:   6 Sieve of Eratosthenes and Square Rule
  83.    wt: 9:   Division with Counts and Length
  84.    wt: 9:   12 Why Long Division Works Take III
  85.    wt: 9:   10 Division by Five Long and Short Ways
  86.    wt: 9:   9 Why Long Division Works Take II
  87.    wt: 9:   1 Divsion Physical Examples
  88.    wt: 9:   D Decimal Multiplication Methods Derived
  89.    wt: 9:   C Counting Areas with Powers of Ten
  90.    wt: 9:   6 Multiplication Commutes Order Not Important
  91.    wt: 9:   4 Two and Three Digit Multipliers
  92.    wt: 9:   3 More One Digit Multipliers
  93.    wt: 9:   1 Why 3 times 5 gives 15
  94.    wt: 9:   9 22 Minute Subtraction Review Video
  95.    wt: 9:   10 Names for Big Numbers and Powers of Ten Expansion
  96.    wt: 9:   9 Comparison and Subtraction of Time Intervals
  97.    wt: 9:   Summary
  98.    wt: 9:   4 Definite Integrals Evaluation Exercises
  99.    wt: 9:   30Chain Rule A Proof
  100.    wt: 9:   29 Chain Rule Optional Reading
  101.    wt: 9:   26 Chain Rule Recognising outer inner functions
  102.    wt: 9:   19 Chain Rule for linear functions
  103.    wt: 9:   16 Derivatives of reciprocals of sine and cosine
  104.    wt: 9:   14 sine and cosine derivatives 2nd step
  105.    wt: 9:   12 Quotient rule examples
  106.    wt: 9:   8 Differentiation of polynomials
  107.    wt: 9:   2 Motivation for Limit Definition Take 1
  108.    wt: 9:   12 Limits with Parameters and Derivatives Take I
  109.    wt: 9:   Postscript One Sided and Intermediate Value Theorems
  110.    wt: 9:   .H2 Lipshitz Conditions Integration Calculus Reform
  111.    wt: 9:   .H1 First Fundamental Theorem of Calculus
  112.    wt: 9:   G.2 Differentiable Functions Mean Value Theorem
  113.    wt: 9:   F.3 Intermediate Value Theorem
  114.    wt: 9:   PostScript For and Against Decimal Perspectives
  115.    wt: 9:   Chapter 5. Slope Sign Tests
  116.    wt: 9:   Appendix E. How To Study Mathematics and Why
  117.    wt: 9:   Appendix A. Reading Guide For Next Appendices
  118.    wt: 9:   Chapter 25. Mathematical Induction Examples
  119.    wt: 9:   Chapter 7 Prep for Calculus Arithmetic Exercises
  120.    wt: 9:   Chapter 2 Implication Rules Forwards and Backwards
  121.    wt: 9:   Postscript C Consistency as a Tool for Reason
  122.    wt: 9:   Chapter 23 Truth Tables
  123.    wt: 9:   Chapter 19 What is in chapters 20 to 24
  124.    wt: 9:   Chapter 11 Accidental Patterns
  125.    wt: 9:   Chapter 9 What is in Chapters 10 to 18
  126.    wt: 9:   Chapter 8 Change of Language
  127.    wt: 9:   V Reasons and Motivations for Logic and Mathematics
  128.    wt: 9:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  129.    wt: 8:   11 pure mathematics
  130.    wt: 8:   10 statistics
  131.    wt: 8:   9 combinatorics probability sets
  132.    wt: 8:   6 polynomials etc
  133.    wt: 8:   4 algebra
  134.    wt: 8:   What is POMME
  135.    wt: 8:   Teach the teachers plus goals
  136.    wt: 8:   permissions for teachers
  137.    wt: 8:   Mathematics Education Professors
  138.    wt: 8:   learning takes time
  139.    wt: 8:   grouping students according to ability
  140.    wt: 8:   Secondary Two Mathematics
  141.    wt: 8:   Secondary One Mathematics
  142.    wt: 8:   geometric implications for algebra
  143.    wt: 8:   the trouble with algebra
  144.    wt: 8:   05 13 OldSiteEntrancePage
  145.    wt: 8:   02 20 mathematics education references
  146.    wt: 8:   Operational Viewpoint to Value
  147.    wt: 8:   mathematics instruction in general
  148.    wt: 8:   Different Kinds of Reasoning in maths
  149.    wt: 8:   Motivation and Context Problem
  150.    wt: 8:   Leaner mathematics curriculum
  151.    wt: 8:   chapitre 04 10 Etapes pour une meilleur raison
  152.    wt: 8:   Ages 12 to 14 Skills with take home value
  153.    wt: 8:   17 Function maxima minima and their location
  154.    wt: 8:   3 Formula or function graphing exercise
  155.    wt: 8:   5 Polynomials Long division Nonlinear divisor
  156.    wt: 8:   4 Polynomials Long division linear divisor
  157.    wt: 8:   3 Polynomials Multiplication Addition
  158.    wt: 8:   16 cotangent function Definition Graph and Inverse
  159.    wt: 8:   15 cosecant function Definition Graph and Inverse
  160.    wt: 8:   13 cosecant function Definition Graph and Inverse
  161.    wt: 8:   11 arctan left inverse of tangent Graph
  162.    wt: 8:   5 Swapping Coordinates is a reflection
  163.    wt: 8:   12 From Applied To Pure Mathematics
  164.    wt: 8:   9 Head to Tail Coordinate View
  165.    wt: 8:   8 Parallel Vectors
  166.    wt: 8:   Vector and Complex Number Applet
  167.    wt: 8:   4 Tangent Function Properties
  168.    wt: 8:   1 Straight Lines Slope Concept
  169.    wt: 8:   32 seven rows of pascals triangle
  170.    wt: 8:   18 sum of sinusoidal waves as a single wave
  171.    wt: 8:   17D cis formulas for sine cosines and tangent
  172.    wt: 8:   17B sine cosine Angle Sum Formulas via cis
  173.    wt: 8:   17A The complex number valued trig function cis
  174.    wt: 8:   11 sine and cosine double triple angle formulas
  175.    wt: 8:   9 The complex number valued trig function cis
  176.    wt: 8:   7 Second Way to Calculate Products
  177.    wt: 8:   2 Complex Numbers made easier we hope
  178.    wt: 8:   1 Rectangular Polar Coordinates Review
  179.    wt: 8:   Appetizer A Complex Number Applet
  180.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  181.    wt: 8:   Why Trigonometry the whyslopes view
  182.    wt: 8:   12 Triangles Similarity More Problems
  183.    wt: 8:   4 Similarity Definition with Coordinate
  184.    wt: 8:   Four Simple Exercises
  185.    wt: 8:   9 Midpoint Coordinates Half Endpoint Sum
  186.    wt: 8:   2 point slope equation for a line
  187.    wt: 8:   Euclidean Geometry Elsewhere LINKS
  188.    wt: 8:   PS A Kite Construction Methods
  189.    wt: 8:   19 Right Triangle Similarity
  190.    wt: 8:   17 Right Bisectors of Triangle Sides
  191.    wt: 8:   12 Side Angle Side Failure
  192.    wt: 8:   11 Triangle Construction Fails
  193.    wt: 8:   10 Dropping a perpendicular to line
  194.    wt: 8:   9 Construction of a right bisector
  195.    wt: 8:   8 Isoceles Triangles
  196.    wt: 8:   7 Angle Side Angle
  197.    wt: 8:   1 Initial Concepts and Terms
  198.    wt: 8:   1 Length Measurement
  199.    wt: 8:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  200.    wt: 8:   18 Geometrically Why Vector Addition Commutes
  201.    wt: 8:   17 Arrows Rotate to Reverse with Length Unchanged
  202.    wt: 8:   16 Collinear Horizontal Arrows Vectors
  203.    wt: 8:   11 Signed Number Addition and Addition Properties
  204.    wt: 8:   9 Division with Digits after Decimal Point
  205.    wt: 8:   4 Location of Point in Decimal Addition
  206.    wt: 8:   C Three Decimal Subtraction Methods
  207.    wt: 8:   A Decimal Addition Columm Methods
  208.    wt: 8:   4 Commutative Law Groups Counting Form
  209.    wt: 8:   3 Multiplicative Counting Skills Principles
  210.    wt: 8:   7 Pythagorean Theorem Chinese Square Proof
  211.    wt: 8:   2 Linear Equation Literal Solution
  212.    wt: 8:   16 Real Numbers Comparison
  213.    wt: 8:   13 Real Number Subtraction
  214.    wt: 8:   7 Real Numbers as Line Cordinates
  215.    wt: 8:   1 Whole and Natural Numbers
  216.    wt: 8:   4 Changing Letters
  217.    wt: 8:   More Exercises
  218.    wt: 8:   Simple Exercises
  219.    wt: 8:   Using Letters for Physical Quantities
  220.    wt: 8:   10 Volume of Pyramid
  221.    wt: 8:   5 Talking about Numbers and Quantities
  222.    wt: 8:   4 Greater More Less Than Signs in General
  223.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
  224.    wt: 8:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  225.    wt: 8:   13 GCD from given Prime Factorization
  226.    wt: 8:   7 GCD and LCM from prime factorization
  227.    wt: 8:   LCM 60 45 Avoid List Method Use Prime
  228.    wt: 8:   1 Least Common Multiples LCM Introduction
  229.    wt: 8:   5 Counting with Tables Trees Product Rule Take II
  230.    wt: 8:   2 Counting with Tables and Trees I
  231.    wt: 8:   11 What are real lengths and numbers
  232.    wt: 8:   1 Addition and Subtraction with Units
  233.    wt: 8:   B Fractions and Two Term Ratios
  234.    wt: 8:   22 Complex Compound Fractions
  235.    wt: 8:   21 Reciprocals for Fractions and Wholes
  236.    wt: 8:   12 Fraction Comparison
  237.    wt: 8:   9 Improper Fractions and Mixed Numbers
  238.    wt: 8:   A Associative Law Theorectical Note
  239.    wt: 8:   20 Uniqueness of Prime Factorization
  240.    wt: 8:   17 Identify and Count Factors using Primes
  241.    wt: 8:   16 video Factors of 980 using prime
  242.    wt: 8:   2 Prime and Composites less than 16
  243.    wt: 8:   8 Correcting the Mistake
  244.    wt: 8:   2 Division with Single Digit Divisors
  245.    wt: 8:   1 Place Value in Three Digit Whole Numbers
  246.    wt: 8:   Practical Methods Ends and Values for Arithmetic
  247.    wt: 8:   016 Numbering Occidental Calendar Days
  248.    wt: 8:   8 Addition of Time Intervals via subtotaling
  249.    wt: 8:   Volume of Solid by Cross Sections Lesson
  250.    wt: 8:   A Related Material in Volume 3
  251.    wt: 8:   3 Two Chain Rule Method Exercises
  252.    wt: 8:   1 Two cubic sketching exercises with 1st derivative
  253.    wt: 8:   27 Chain Rule sinusoidal outer inner functions EGS
  254.    wt: 8:   21 Chain Rule for powers
  255.    wt: 8:   18 Chain Rule Introduction
  256.    wt: 8:   17 Derivatives of quotients of sine and cosine
  257.    wt: 8:   11 Limits at infinity Three Examples
  258.    wt: 8:   8 Four Animated Examples
  259.    wt: 8:   7 Evaluation by immediate or delayed substitution
  260.    wt: 8:   5 Jumps and absence of unlimited error control
  261.    wt: 8:   G.6 Bounded Derivatives implies Lipshitz Continuity
  262.    wt: 8:   G.3 Constant Difference Theorem Proof
  263.    wt: 8:   F.5b Extreme Value Theorem
  264.    wt: 8:   F.5a Equicontinuity Theorems
  265.    wt: 8:   F.1 What Functions are Continuous
  266.    wt: 8:   E2 Algebraic Properties of Limits
  267.    wt: 8:   D1 Sets and Sequences GLBs and LGBs
  268.    wt: 8:   C Triangle Inequalities
  269.    wt: 8:   Foreword
  270.    wt: 8:   Appendix D. What to do in School and Why
  271.    wt: 8:   Chapter 31 Direct and Indirect Reason
  272.    wt: 8:   Chapter 29 Contrapositive and Vacuously True Implications
  273.    wt: 8:   Chapter 26 What is in chapters 27 to 31
  274.    wt: 8:   Chapter 23. Notation For Sums
  275.    wt: 8:   Chapter 20. Degrees and Radians
  276.    wt: 8:   Chapter 10 Describing and Changing Calculations
  277.    wt: 8:   Chapter 8 Three Skills For Algebra
  278.    wt: 8:   Chapter 5 Islands and Divisions of Knowledge
  279.    wt: 8:   Chapter 3 Chains of Reason
  280.    wt: 8:   Chapter 2 For and Against Mathematics
  281.    wt: 8:   Chapter 24 Direct and Indirect Reason
  282.    wt: 8:   Chapter 20 Shorthand Symbols as Pronouns
  283.    wt: 8:   Chapter 7 Longer Chains of Reason
  284.    wt: 8:   Chapter 6 Chains of Reason
  285.    wt: 8:   Multiple Ways to Improve Mathematics Skill Development
  286.    wt: 7:   2 arithmetic with signed numbers
  287.    wt: 7:   1 arithmetic with unsigned numbers
  288.    wt: 7:   three goals to set for students
  289.    wt: 7:   About site lesson plans
  290.    wt: 7:   teacher certification
  291.    wt: 7:   modern education
  292.    wt: 7:   how letters appear
  293.    wt: 7:   teaching tips
  294.    wt: 7:   mathematics curriculum shifts
  295.    wt: 7:   Lessening Algebra Difficulties
  296.    wt: 7:   04 29 New Mathematics Curriculum
  297.    wt: 7:   04 25 when to stop or suspend mathemat
  298.    wt: 7:   formal or informal peer review
  299.    wt: 7:   Four ways to improve education reform
  300.    wt: 7:   Prequel In For A Penny In For A Pound
  301.    wt: 7:   fairness and inductive principles for instruction
  302.    wt: 7:   words for mathematics instructor
  303.    wt: 7:   chapitre 07 01 principle D induction mathematique
  304.    wt: 7:   chapitre 04 04 Parlons de la logique
  305.    wt: 7:   chapitre 02 00 La Communication des idees
  306.    wt: 7:   Trois Notions qui menent a algebre
  307.    wt: 7:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  308.    wt: 7:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  309.    wt: 7:   13 Addition and Addition Tables
  310.    wt: 7:   Ages 12 to 14 Arithmetic
  311.    wt: 7:   Ages 10 to 12 Arithmetic
  312.    wt: 7:   Ages 3 plus to 4 plus
  313.    wt: 7:   25 Absolute Value greatest integer and saw tooth functions
  314.    wt: 7:   6 Set Existence Formation and Notation
  315.    wt: 7:   1 Polynomials Distributive Law
  316.    wt: 7:   14 secant function Definition Graph and Inverse
  317.    wt: 7:   12 motivation for term arctan
  318.    wt: 7:   10 arctan left inverse of tangent Definition
  319.    wt: 7:   9 motivation for name arcsin
  320.    wt: 7:   13 Velocity Vectors in Physics
  321.    wt: 7:   4 Resultant of a Sum of Movements
  322.    wt: 7:   30 unit circle calculation of six trigonometric functions
  323.    wt: 7:   24 tangent Angle Difference Formula
  324.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  325.    wt: 7:   21 sine and cosine Half Angle Formulas
  326.    wt: 7:   17C sine and cosine double triple angle formulas
  327.    wt: 7:   16 Right Triangle Complementary Angle Relations
  328.    wt: 7:   15 sine cosine Complementary Angle Relations
  329.    wt: 7:   14 cosine even and sine and tangent are odd
  330.    wt: 7:   13 Graph of tangent function many periods
  331.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  332.    wt: 7:   15 Pythagorean Theorem Converse
  333.    wt: 7:   3 Addition Properties
  334.    wt: 7:   8 Triangles Cascade Problem Solving
  335.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  336.    wt: 7:   3 Trigonometric Ratios sine and cosine
  337.    wt: 7:   2 Similarity By Design
  338.    wt: 7:   8 Mid Point Formula
  339.    wt: 7:   6 Intersection of lines by solving linear systems
  340.    wt: 7:   5 Side Angle Side
  341.    wt: 7:   2 Correspondence between Triangles
  342.    wt: 7:   Short Course on Euclidean Geometry
  343.    wt: 7:   musings do not puiblish real numbers
  344.    wt: 7:   A Signed Number Arithmetic Review
  345.    wt: 7:   24 Signed Numbers Arithmmetic Properties
  346.    wt: 7:   22 Multiplication of Signed Numbers
  347.    wt: 7:   21 Addition of Multiples of a Single Vector
  348.    wt: 7:   12 Real Numbers Line Signed Coordinates
  349.    wt: 7:   6 Infinite Decimals Ending in 9 repeating
  350.    wt: 7:   2 Counting Digits in Decimal Multiplication
  351.    wt: 7:   8 Column Multiplication Methods in General
  352.    wt: 7:   6 Column Methods for Decimal Multiplication
  353.    wt: 7:   5 Distributive Law for Whole Numbers
  354.    wt: 7:   2 Combing Counts Addition Skills and Principles
  355.    wt: 7:   15 Real Number Division
  356.    wt: 7:   14 Real Number Multiplication
  357.    wt: 7:   12 Real Number Additive Inverses or Negatives
  358.    wt: 7:   11 Real Number Addition
  359.    wt: 7:   5 Rational Numbers More
  360.    wt: 7:   4 Rational Numbers
  361.    wt: 7:   3 Fractions
  362.    wt: 7:   5 Independent versus Dependent Variables
  363.    wt: 7:   11 Volume of Sphere
  364.    wt: 7:   9 Volume of Cone
  365.    wt: 7:   9 Sets in Probability and Statistics
  366.    wt: 7:   4 A Brief Story of numbers and algebra
  367.    wt: 7:   2 What is a Variable
  368.    wt: 7:   1 Three Skills For Algebra
  369.    wt: 7:   2 More and Less Than with Unlike Signs
  370.    wt: 7:   5 Square Roots with primes more still
  371.    wt: 7:   4 Square Roots with primes more
  372.    wt: 7:   2 Square Roots with Prime
  373.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  374.    wt: 7:   14 GCD of 650 110 via Primes LCM via Product Rule
  375.    wt: 7:   11 GCD 2700 288 via Euclid Algorithm
  376.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  377.    wt: 7:   8 GCD from Euclidean Algorithm
  378.    wt: 7:   5 Common Divisors 60 45 via Prime
  379.    wt: 7:   4 LCM of 8 and 10 via Prime
  380.    wt: 7:   4 Counting with Trees Product Rule Take I
  381.    wt: 7:   1 Counting and Counting Methods I
  382.    wt: 7:   2 signed and unsigned numbers as coordinates
  383.    wt: 7:   6 Simplification of Fractions with Units
  384.    wt: 7:   3 Multiplying Units and Numbers
  385.    wt: 7:   2 Equality and Units
  386.    wt: 7:   D Three Term Ratios
  387.    wt: 7:   20 Dividing Fractions the Why
  388.    wt: 7:   5 Equivalent Fractions
  389.    wt: 7:   4 Fraction Multiplication
  390.    wt: 7:   2 Unit Fraction Multiplication
  391.    wt: 7:   11 Adding Integers Formulas and Examples
  392.    wt: 7:   12 LCD GCD and LCM using Primes
  393.    wt: 7:   11 Efficient Square Rule Use
  394.    wt: 7:   5 Long Division Include Zeroes or not
  395.    wt: 7:   4 Division with 2 Digit Divsors
  396.    wt: 7:   B Powers of Ten
  397.    wt: 7:   2 One Digit Multipliers
  398.    wt: 7:   8 Review Lesson 1 2 4 and 6 All in One
  399.    wt: 7:   Exact Arithmetic Wholes and Fractions
  400.    wt: 7:   Expression Evaluation how to show work
  401.    wt: 7:   015 School and work day counting tables
  402.    wt: 7:   014 Counting Days with Calendars
  403.    wt: 7:   013 Travel Time Tables
  404.    wt: 7:   012 Division of Time Intervals by Time Intervals
  405.    wt: 7:   010 Repeated Addition of Time Intervals
  406.    wt: 7:   6 How long is a million seconds
  407.    wt: 7:   4 Mixing and Changing Units of Time
  408.    wt: 7:   2 Time and Date Matters in School
  409.    wt: 7:   5 Area Under Curve Exercise
  410.    wt: 7:   2 Indefinite Integrals Exercises
  411.    wt: 7:   A Related lessons in Volume 3
  412.    wt: 7:   20 Chain Rule for Pulley Systems
  413.    wt: 7:   10 Power rule for negative integers
  414.    wt: 7:   9 Reciprocal rule
  415.    wt: 7:   5 Product Rule
  416.    wt: 7:   4 Sum Rule
  417.    wt: 7:   6 Continuity at a point
  418.    wt: 7:   4 Numerical properties
  419.    wt: 7:   2 Algebraic codification
  420.    wt: 7:   G.4 Lipschitz Continuity implies EquiContinuity
  421.    wt: 7:   G.1 Differentiable Functions Rolles Theorem
  422.    wt: 7:   F.2 Closed Range Theorem
  423.    wt: 7:   E1 Error Control Inequalities
  424.    wt: 7:   A1. Introduction
  425.    wt: 7:   Appendix C. How to Read
  426.    wt: 7:   Chapter 30 Truth Tables
  427.    wt: 7:   Chapter 24. Personal Investment and Pension EGS
  428.    wt: 7:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  429.    wt: 7:   Postscript Unifying Theme A Fourth Skill For Algebra
  430.    wt: 7:   Chapter 13. Second Reading Guide
  431.    wt: 7:   Postscript What is a Variable
  432.    wt: 7:   Chapter 9 Talking about Numbers or Quantities
  433.    wt: 7:   Chapter 6 Change of Language
  434.    wt: 7:   Chapter 6 Rule Based Reason in Mathematics
  435.    wt: 7:   Chapter 4 Complex Numbers and Why Slopes
  436.    wt: 7:   Chapter 3 Algebra Difficulties
  437.    wt: 7:   Postscript D Reflections on Law of the Excluded Middle
  438.    wt: 7:   Postscript B More on Story Telling and Reason
  439.    wt: 7:   Chapter 21 Occurrence Tables
  440.    wt: 7:   Chapter 18 Sense and Knowledge
  441.    wt: 7:   Chapter 1 Introduction
  442.    wt: 7:   Three Remarks
  443.    wt: 7:   P Exact Arithmetic With Whole Numbers and Fractions
  444.    wt: 7:   Helping the Blind in Logic and Mathematics
  445.    wt: 7:   Ends Values Methods For Skill Development Framework Prequel
  446.    wt: 7:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  447.    wt: 7:   Montreal Basic and Advanced Mathematics Tutoring
  448.    wt: 6:   why bother
  449.    wt: 6:   which way to go
  450.    wt: 6:   activities for students
  451.    wt: 6:   links Education Resources online
  452.    wt: 6:   site eurekas
  453.    wt: 6:   key notes and themes
  454.    wt: 6:   Postscript 2007 01 10
  455.    wt: 6:   three difficulties
  456.    wt: 6:   What to Tell Students
  457.    wt: 6:   02 21 words for teachers
  458.    wt: 6:   Theory of Knowledge
  459.    wt: 6:   cultivating intelligence
  460.    wt: 6:   How to be a better instructor
  461.    wt: 6:   chapitre 12 00 les iles et division
  462.    wt: 6:   chapitre 04 09 Regles accidentelles
  463.    wt: 6:   chapitre 04 08 Limitations et benefices
  464.    wt: 6:   chapitre 04 07 RepetablesEtReproductibles
  465.    wt: 6:   chapitre 04 06 engagements
  466.    wt: 6:   chapitre 04 05 Implication versus suggestion
  467.    wt: 6:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  468.    wt: 6:   chapitre 04 02 Deuxieme enigme
  469.    wt: 6:   chapitre 04 00 Les regles d implication
  470.    wt: 6:   chapitre 01 00 Introduction
  471.    wt: 6:   A Wire Resistance Qualitative01
  472.    wt: 6:   25 Mathematics Education Leaving A Good Impression
  473.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take IV
  474.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take III
  475.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take II
  476.    wt: 6:   Ages 12 to 14 Geometry
  477.    wt: 6:   Ages 10 to 12 Geometry
  478.    wt: 6:   Ages 9 to 10
  479.    wt: 6:   11 Function Domain Range Source and Targets
  480.    wt: 6:   4 Function notation in and beyond mathematics
  481.    wt: 6:   8 arcsin left inverse of sine Graph
  482.    wt: 6:   6 Graph of arccos function
  483.    wt: 6:   4 possible motivation for term arccos
  484.    wt: 6:   3 Left Inverse of cosine arccos definition
  485.    wt: 6:   15 Dot and Cross Product
  486.    wt: 6:   6 Vectors with Coordinates
  487.    wt: 6:   2 Signed Coordinates
  488.    wt: 6:   1 Unsigned Coordinates
  489.    wt: 6:   17 tangent function angle sum formulas
  490.    wt: 6:   25 tangent double angle formula Slope connection
  491.    wt: 6:   20 sine and cosine Double Angle Formulas
  492.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  493.    wt: 6:   17G Pythagorean Theorem Converse
  494.    wt: 6:   17E Trig Formulas for dot and cross Products
  495.    wt: 6:   11 tangent function undefined when terminal side vertical
  496.    wt: 6:   10 Graphs of sines and cosines many periods
  497.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  498.    wt: 6:   2 Quadrant I reference Angles
  499.    wt: 6:   20 N th Roots of Complex Numbers
  500.    wt: 6:   16 References and Originality Question
  501.    wt: 6:   14 Law of cosines
  502.    wt: 6:   6 Trigonometry Sines of Supplementary Angles
  503.    wt: 6:   1 Angle Measurement with Degrees
  504.    wt: 6:   Right Triangle and Unit Circle Trigonometry
  505.    wt: 6:   12 Links Lessons elsewhere
  506.    wt: 6:   4 Side Side Side
  507.    wt: 6:   E Long Division Methods more
  508.    wt: 6:   D Long Division Methods
  509.    wt: 6:   10 Real Number Lengths and Signs
  510.    wt: 6:   9 Coordinates for Regions in Space
  511.    wt: 6:   6 Unsigned Real Numbers
  512.    wt: 6:   10 Set View of Wordy Extensions To Arithmetic
  513.    wt: 6:   3 Counting with Sets etc
  514.    wt: 6:   3 Adding Words To Arithmetic
  515.    wt: 6:   arithmetic videos Real Player Format
  516.    wt: 6:   12 GCD 2700 288 via Prime
  517.    wt: 6:   7 negative and additive inverse
  518.    wt: 6:   7 Converting or Changing Units
  519.    wt: 6:   4 Fractions with Units
  520.    wt: 6:   19 Dividing Fractions How TO
  521.    wt: 6:   18 Efficient Ways to Multiply
  522.    wt: 6:   13 Subtraction with Additive Inverse
  523.    wt: 6:   3 Adding Movements with same direction
  524.    wt: 6:   Quick history of numbers and algebra
  525.    wt: 6:   Formula Evaluation how to show work
  526.    wt: 6:   011 Division of Time Intervals By Numbers
  527.    wt: 6:   7 Addition of Time Intervals
  528.    wt: 6:   3 Units and Lengths of Time
  529.    wt: 6:   1 Intro of Kids To Time Date Skills
  530.    wt: 6:   1 Chain Rule in Reverse Integration Method
  531.    wt: 6:   3 Second derivative test
  532.    wt: 6:   2 Second derivative test prequel
  533.    wt: 6:   11 Quotient rule
  534.    wt: 6:   6 Power rule from product rule
  535.    wt: 6:   10 Three one sided limits with infinite values
  536.    wt: 6:   3 Decimal insights for limits continuity convergence
  537.    wt: 6:   1 Numerical introduction
  538.    wt: 6:   G.5 Motions With Bounded Velocities
  539.    wt: 6:   F.4 Finite Covering Theorem
  540.    wt: 6:   D2 Limits of Monotone Sequences
  541.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
  542.    wt: 6:   index
  543.    wt: 6:   Appendix B. How To Learn
  544.    wt: 6:   Chapter 27 Shorthand Symbols as Pronouns
  545.    wt: 6:   Chapter 22. Geometric Sums and Sequences
  546.    wt: 6:   Chapter 18. Rules for Algebra
  547.    wt: 6:   Chapter 15. Solving Linear Equations
  548.    wt: 6:   Chapter 12. Shorthand Usage Guide
  549.    wt: 6:   Chapter 11. Why Shorthand
  550.    wt: 6:   Solutions For Arithmetic Exercises
  551.    wt: 6:   Chapter 4 Longer Chains of Reason
  552.    wt: 6:   Chapter 1 Introduction to Chapters 2 to 6
  553.    wt: 6:   Annotated Links to Material Elsehwere
  554.    wt: 6:   Postscript A Three Remarks
  555.    wt: 6:   Postscript A Story Telling
  556.    wt: 6:   Chapter 15 Objective Processes
  557.    wt: 6:   Chapter 10 Responsibility
  558.    wt: 6:   Chapter 5 Deception
  559.    wt: 6:   Chapter 2 Skill Development
  560.    wt: 6:   R Why Learn Mathematics Skills
  561.    wt: 6:   O On Learning Mathematics and Science
  562.    wt: 6:   N Improving Marks on Tests and Finals
  563.    wt: 6:   Implementation Notes
  564.    wt: 5:   website reviews
  565.    wt: 5:   site origins
  566.    wt: 5:   chapitre 05 00 Deception
  567.    wt: 5:   chapitre 04 01 Premiere enigme
  568.    wt: 5:   problemes algebre et arithmetique
  569.    wt: 5:   deux definitions pour variable
  570.    wt: 5:   E Wire Resistance Calculation03
  571.    wt: 5:   27 Graduated Correction and Penalties for Young Offenders
  572.    wt: 5:   23 Modularized Skill Development Modularized Rigor
  573.    wt: 5:   19 Extending the Oral Dimension of Mathematics
  574.    wt: 5:   16 Secondary Mathematics Tips
  575.    wt: 5:   12 Goals and Objectives For Mathematics
  576.    wt: 5:   6 Discipline Who is in Charge Conserving Authority
  577.    wt: 5:   5 Patience Please for Yourself and Your Charges
  578.    wt: 5:   Ages 8 to 9
  579.    wt: 5:   Ages 7 to 8
  580.    wt: 5:   Ages 6 to 7
  581.    wt: 5:   Ages 4 plus to 5 plus
  582.    wt: 5:   22 Square Root function graphically
  583.    wt: 5:   20 Interchanging coordinates a reflection
  584.    wt: 5:   16 Increasing or decreasing on intervals
  585.    wt: 5:   15 Sign analysis of functions
  586.    wt: 5:   13 From one to one to many to one
  587.    wt: 5:   12 Function Domain Recognition Exercises
  588.    wt: 5:   5 Function notation for geometric transformations
  589.    wt: 5:   2 Algebraic use of function notation
  590.    wt: 5:   2 Column Multiplication Method
  591.    wt: 5:   Rewriting algebraic substitution as function substitutions
  592.    wt: 5:   7 arcsin left inverse of sine Definition
  593.    wt: 5:   11 Component Method
  594.    wt: 5:   28 Expressing products of sines cosines as sums
  595.    wt: 5:   27 Logarithmic use of products of sines and cosines
  596.    wt: 5:   26 Formulas for products of sines and cosines
  597.    wt: 5:   23 sine and cosine of 180 plus 22.5 degrees
  598.    wt: 5:   17F Law of cosines
  599.    wt: 5:   12 Graph of tangent function for one period
  600.    wt: 5:   9 Graphs of sine and cosine over one period
  601.    wt: 5:   5 sines and cosines for reference angle 60 degrees
  602.    wt: 5:   4 sines and cosines for reference angle 45 degrees
  603.    wt: 5:   Right Triangle and Unit Circle Trigonometry
  604.    wt: 5:   18 Sixth Roots of Unity
  605.    wt: 5:   6 Field Properties of Complex Number
  606.    wt: 5:   4 Multiplication Properties
  607.    wt: 5:   7 Trignometric Ratios Unit Circle
  608.    wt: 5:   19 Signed Multiples of Vectors
  609.    wt: 5:   1 The Counting Origins of Numbers
  610.    wt: 5:   2 Integers
  611.    wt: 5:   7 Cautious or Safe Set Construction
  612.    wt: 5:   6 Power Set Notation
  613.    wt: 5:   5 Product Builder Notation
  614.    wt: 5:   4 Subset Builder Notation
  615.    wt: 5:   2 Venn Diagrams
  616.    wt: 5:   6 GCD from Prime
  617.    wt: 5:   9 subtracting signed numbers
  618.    wt: 5:   4 signed coordinates for regions in space
  619.    wt: 5:   21 Working With Signs
  620.    wt: 5:   D Remainders Modulo 11 Pair Rule
  621.    wt: 5:   12 Adding Integers More Examples
  622.    wt: 5:   10 Integer Multiplication Formulas
  623.    wt: 5:   6 Multiplication by Natural Numbers
  624.    wt: 5:   The 12 Times Table Visually
  625.    wt: 5:   5 Conversion Arithmetic
  626.    wt: 5:   9 Limits Continuity and Composition
  627.    wt: 5:   Chapter 28 Occurrence Tables
  628.    wt: 5:   Chapter 21. Third Reading Guide
  629.    wt: 5:   Chapter 19. Functions and Sets
  630.    wt: 5:   Chapter 16. Painless Theorem Proving
  631.    wt: 5:   Postscript B Mathematics Education References
  632.    wt: 5:   Foreword
  633.    wt: 5:   S Adding words to algebra
  634.    wt: 5:   Q How Logic and Proofs extend Show Work Practices
  635.    wt: 5:   N Mathematics Prepare for College Studies
  636.    wt: 5:   M Words to extend arithmetic
  637.    wt: 5:   I. Logic and language skills
  638.    wt: 5:   G. Written work formats for developing and showing skill
  639.    wt: 5:   D. Check work a must with a caution
  640.    wt: 5:   Which Way To Go
  641.    wt: 4:   liens
  642.    wt: 4:   logique deux enigme
  643.    wt: 4:   2 Conductance Resistance Duality02
  644.    wt: 4:   1 Conductance Resistance Duality01
  645.    wt: 4:   F Wire Resistance Calculation04
  646.    wt: 4:   D Wire Resistance Calculation02
  647.    wt: 4:   C Wire Resistance Calculation01
  648.    wt: 4:   B Wire Resistance Qualitative02
  649.    wt: 4:   3 Like resistors in parallel
  650.    wt: 4:   24 Standards For Skill Develoment Take II
  651.    wt: 4:   18 Primary School Mathematics
  652.    wt: 4:   17 Math Booklets for children and young teenagers
  653.    wt: 4:   14 Multiplication and Times Tables
  654.    wt: 4:   4 Learning Takes Time and Effort
  655.    wt: 4:   3 Preparing for Science Studies
  656.    wt: 4:   23 Inverse Functions
  657.    wt: 4:   21 Graphs of functions given by Horizontal Line Method
  658.    wt: 4:   19 Horizontal line rule and method
  659.    wt: 4:   18 Vertical Line Rule and Method
  660.    wt: 4:   10 Interval Notation
  661.    wt: 4:   8 Set view of relations and functions
  662.    wt: 4:   1 Geometric Introduction of Function Notation
  663.    wt: 4:   Introduction Reading Guide
  664.    wt: 4:   8 Notes for instructors or tutors
  665.    wt: 4:   7 Links Lessons Elsewhere
  666.    wt: 4:   2 cosine function more properties
  667.    wt: 4:   1 cosine function properties
  668.    wt: 4:   8 period of tangent function
  669.    wt: 4:   7 period of sine and cosine
  670.    wt: 4:   1 Unit Points Reflections Rotations
  671.    wt: 4:   19 N th Roots of Unity
  672.    wt: 4:   17 Cube Roots of unity
  673.    wt: 4:   8 Unit Circle Development of Trigonometry
  674.    wt: 4:   About Folder Contents
  675.    wt: 4:   8 Sets of Numbers
  676.    wt: 4:   1 Finite Sets
  677.    wt: 4:   About Folder Contents
  678.    wt: 4:   10 dividing signed numbers
  679.    wt: 4:   8 multiplying signed numbers
  680.    wt: 4:   6 adding signed numbers
  681.    wt: 4:   5 lengths and signs of numbers
  682.    wt: 4:   5 Zero Movement and Additive Inverses
  683.    wt: 4:   1 Integers as Coordinates
  684.    wt: 4:   Postscript More on Better Performance
  685.    wt: 4:   Postscript For Better Performance
  686.    wt: 4:   Chapter 12 Four Phases
  687.    wt: 4:   Chapter 11 Elementary Instruction
  688.    wt: 4:   Chapter 10 Transition
  689.    wt: 4:   Chapter 7 Two Treatments of Geometry
  690.    wt: 4:   Chapter 1 Introduction
  691.    wt: 4:   L Skills with take home value
  692.    wt: 4:   H Jigsaw puzzles and problem solving
  693.    wt: 4:   F. The student teacher tutor feedback loop
  694.    wt: 4:   C. Domino effect of being careful
  695.    wt: 4:   A. Skill has to be seen to believed
  696.    wt: 3:   problemes responses
  697.    wt: 3:   2 Unlike resistors in parallel01
  698.    wt: 3:   24 Standards For Skill Develoment
  699.    wt: 3:   22 Student Centered Highschool Mathematics
  700.    wt: 3:   11 Help and Defend Your Child or Teens Education
  701.    wt: 3:   9 Streaming by Student Cooperation
  702.    wt: 3:   8 The Effect of Negative Remarks
  703.    wt: 3:   2 Reading and Writing Skills
  704.    wt: 3:   26 Function definitions done and coming
  705.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  706.    wt: 3:   9 Set theory term relation possible origins
  707.    wt: 3:   7 Functions with finite domains
  708.    wt: 3:   Unit Circle Development of Trigonometry
  709.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  710.    wt: 3:   B Integer Long Division Multiple Choices
  711.    wt: 3:   8 Multiplication by Signed Numbers Integers
  712.    wt: 3:   7 Multiplication by Signs
  713.    wt: 3:   4 Adding Movements wiht opposite directions
  714.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  715.    wt: 3:   The 20 Times Table
  716.    wt: 3:   About folder contents
  717.    wt: 3:   Foreword
  718.    wt: 3:   Chapter 9 The Two Ends
  719.    wt: 3:   Chapter 8 Modern Instruction
  720.    wt: 3:   Chapter 5 Four References
  721.    wt: 3:   1 Links to Online Resources Elsewhere Take 1
  722.    wt: 3:   J. More on written work and showing skill
  723.    wt: 3:   E. When and how to correct errors
  724.    wt: 3:   How to Build Skills and Confidence
  725.    wt: 2:   3 Energy Power Heat08
  726.    wt: 2:   C Energy Power03
  727.    wt: 2:   B Electromotive force conventional current01
  728.    wt: 2:   Home Tutoring and Home Schooling
  729.    wt: 2:   15 Counting For Parents
  730.    wt: 2:   10 Ends values for work study instruction
  731.    wt: 2:   7 Student Motivation
  732.    wt: 2:   1 Speaking Skills
  733.    wt: 2:   14 Surjections Injections Bijections
  734.    wt: 2:   9 Multiplying Integers
  735.    wt: 2:   Foreword
  736.    wt: 2:   H more Routine to non routine problem solving
  737.    wt: 2:   B. Domino effect of errors
  738.    wt: 2:   Road Safety Questions
  739.    wt: 1:   4 Energy Power Heat09
  740.    wt: 1:   2 Energy Power Heat07
  741.    wt: 1:   1 Energy Power Heat06
  742.    wt: 1:   A Energy Power01
  743.    wt: 1:   1 Like resistors in series
  744.    wt: 1:   F Unlike Resistors in Series
  745.    wt: 1:   E Kirchoffs Second Law
  746.    wt: 1:   D Kirchoff First Law
  747.    wt: 1:   C Electromotive force conventional current02
  748.    wt: 1:   A Circuit Elements
  749.    wt: 19:   13 Pythagorean spatial distance formulas
  750.    wt: 17:   3 Natural Logarithms and Exponentials Basic Properties
  751.    wt: 17:   3 Gaussian Elimination 3 unknowns first example
  752.    wt: 16:   sign monoticity analysis example 3
  753.    wt: 16:   Parallel Lines and Parallel Transversals
  754.    wt: 16:   Parallel Lines and Alternating Corresponding Angles
  755.    wt: 16:   10 Pythagorean plane distance formula
  756.    wt: 16:   5 Cartesian Addition and Translation
  757.    wt: 16:   Example 1. Area Between x and x squared
  758.    wt: 16:   Chapter 19. Exponentials and Natural Logarithms
  759.    wt: 15:   3 Rectangular Coordinates Review
  760.    wt: 15:   3 Lengths and Areas on Maps and Plans
  761.    wt: 15:   5 Gaussian Elimination for 3 unknowns 2nd example
  762.    wt: 15:   3 GE III Equation Addition and Multiplication
  763.    wt: 15:   3 Solving triangular system example
  764.    wt: 15:   3 Triangle Area Formula Example
  765.    wt: 15:   2 Another Rectangle Area Formula Example
  766.    wt: 15:   Long Division forwards and backwards Example 3
  767.    wt: 15:   3 Harder Cases Convert to Compare and Subtract
  768.    wt: 15:   Chapter 17. Area Approximation
  769.    wt: 14:   Appendix 1 primary and preschool mathematic
  770.    wt: 14:   Ramblings Introduction Algebra Essay
  771.    wt: 14:   sign monoticity analysis example 4
  772.    wt: 14:   sign monoticity analysis example 2
  773.    wt: 14:   sign monoticity analysis example 1
  774.    wt: 14:   5 Natural Logarithm Calculator Exercises
  775.    wt: 14:   3 Circle Arclengh Proportional to Central Angle
  776.    wt: 14:   2 Radian Measure Numerical Value of one degree
  777.    wt: 14:   Proportionality of Line Segments From Parallel Transversals
  778.    wt: 14:   13 Navigation Location from Angles to 2 Landmarks
  779.    wt: 14:   8 Distance Between Points on a Line
  780.    wt: 14:   6 Polar Multiplication and Rotation
  781.    wt: 14:   1 Cartesian Coordinates sans signs
  782.    wt: 14:   4 Fraction Operations Axiomatic Development
  783.    wt: 14:   3 Inequalities Algebraically
  784.    wt: 14:   4 Subtraction and Division Axioms
  785.    wt: 14:   2 Addition and Multiplication Axioms
  786.    wt: 14:   4 Solving a triangular system exercise
  787.    wt: 14:   3 Two Examples
  788.    wt: 14:   6 Pythagorean Hypotenuse Calculation Example
  789.    wt: 14:   A Decimals Modular and Remainder Arithmetic
  790.    wt: 14:   Long Division forwards and backwards Example 2
  791.    wt: 14:   Long Division forwards and backwards Example 1
  792.    wt: 14:   Appendix 1 Decimals Comparison Method Take II
  793.    wt: 14:   1 Comparison and Subtraction Easy Direct Cases
  794.    wt: 14:   3. How to add with decimals A sans conversions
  795.    wt: 14:   Chapter 24 Logarithms Powers and Exponentials
  796.    wt: 14:   Chapter 18. Slopes Areas Integration
  797.    wt: 14:   Chapter 15. Algebraic Evaluation of Limits
  798.    wt: 14:   Chapter 14 Limits and Continuity with and sans Decimals
  799.    wt: 14:   Chapter 3. Slope Sign Analysis
  800.    wt: 14:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  801.    wt: 13:   C LAMP Introduction Culture in Mathematics Education
  802.    wt: 13:   Skills Chapter 3 Algebra
  803.    wt: 13:   8 quadratics backward use of various formulas
  804.    wt: 13:   8 Formulas for Fractional Exponents with Logarithms
  805.    wt: 13:   9 Summary Degrees to Radians and back
  806.    wt: 13:   7 Radian Measures in special Triangles
  807.    wt: 13:   4 Circle Sector Area proportional to Central Angle
  808.    wt: 13:   1 Degrees and Radians Introduction
  809.    wt: 13:   14 Why Scalar Multiplication Distributes Physical Argument
  810.    wt: 13:   2 Graphing y=Af(x) Vertical Scaling
  811.    wt: 13:   Parallel Lines and Interior Angles
  812.    wt: 13:   Construction Methods and Criteria for Isometric and Similar Triangles
  813.    wt: 13:   3 Straight Lines Slope as Tangent of Inclination Angle
  814.    wt: 13:   12 Spatial Coordinates
  815.    wt: 13:   9 Pythagorean Theorem Chinese Square Proof
  816.    wt: 13:   4 Polar Coordinates to and from
  817.    wt: 13:   2 Cartesian Coordinates with signs
  818.    wt: 13:   4 Angles on Maps Plans drawn to scale
  819.    wt: 13:   5 Areas of Rectangles Revisited
  820.    wt: 13:   1 Decimals Modular and Remainder Arithmetic
  821.    wt: 13:   3 Proportionality Examples
  822.    wt: 13:   9 Circle Area and Perimeter Formula Backwards Forwards
  823.    wt: 13:   4 Rectangle Area and Like Formulas Backwards
  824.    wt: 13:   2 More and Less Than for Counts and Measures
  825.    wt: 13:   1 Real Numbers Comparison
  826.    wt: 13:   4 GE III Animated Examples
  827.    wt: 13:   2 Essentially one exercises three with solution
  828.    wt: 13:   9 Three Examples
  829.    wt: 13:   6 Three Examples
  830.    wt: 13:   5 Three Examples
  831.    wt: 13:   2 Three Examples
  832.    wt: 13:   4 Circle Area Formula Example
  833.    wt: 13:   13 Remainder Arithmetic Modulo 5 Example
  834.    wt: 13:   Video Decimal Multiplication Geometric View Example 2
  835.    wt: 13:   Appendix 2 Three Decimal Subtraction Methods
  836.    wt: 13:   7 Subtraction for Decimal Fractions with Exercises
  837.    wt: 13:   6 Subtraction with Conversion Example with Exercises
  838.    wt: 13:   2 Subtraction Easy Case Examples
  839.    wt: 13:   33 Chain Rule Real Player video examples
  840.    wt: 13:   Chapter 16. Velocity Approximation
  841.    wt: 13:   Chapter 15. Slope Approximation
  842.    wt: 13:   Chapter 13. Acceleration
  843.    wt: 13:   Chapter 6. Slopes and Vertical Shifts
  844.    wt: 13:   Chapter 4. More Slope Sign Analysis
  845.    wt: 13:   Chapter 2. Slopes and Ski Trails
  846.    wt: 12:   Appendix 2 primary school Arithmetic 01
  847.    wt: 12:   E LAMP Introduction Modern Mathematics
  848.    wt: 12:   B LAMP Introduction Curriculum Development Standards
  849.    wt: 12:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  850.    wt: 12:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  851.    wt: 12:   A Quadratics Summary
  852.    wt: 12:   9 quadratics physical and further context
  853.    wt: 12:   7 quadratic formulla derivation
  854.    wt: 12:   6 quadratics numerical approach
  855.    wt: 12:   3 quadratics factoring by inspection
  856.    wt: 12:   2 quadratics graphing in general
  857.    wt: 12:   1 quadratics graphing exercises
  858.    wt: 12:   10 Exponential Growth and Decay Models
  859.    wt: 12:   9 Formulas for Real Exponents with Logarithms
  860.    wt: 12:   1 Calculator Starter Exercises
  861.    wt: 12:   8 Radian Measures of Common Angles
  862.    wt: 12:   14 Straight Lines Equations General Case
  863.    wt: 12:   12 Straight Lines Graphing mx plus b
  864.    wt: 12:   34 sines and cosines of 2A 3A 4A 5A
  865.    wt: 12:   33 sines and cosines of 2A 3A 4A 5A
  866.    wt: 12:   11 Triangle Inequality
  867.    wt: 12:   7 Complex Numbers Appetizer
  868.    wt: 12:   PS F Scalar Multiplication Distributes over Addition
  869.    wt: 12:   5 Drawing to Scale Avoids Angle Distortions
  870.    wt: 12:   25 Mid way Convergence to Axiomatic Approach
  871.    wt: 12:   2 Fraction Operations Physical Development
  872.    wt: 12:   4 Rates Ratios and Proporitionality
  873.    wt: 12:   8 Pythagorean Relation Forwards Backwards
  874.    wt: 12:   5 Triangle Area Formula Backwards
  875.    wt: 12:   6 Equations and Systems Equivalent or Implied
  876.    wt: 12:   5 Equality in Algebra
  877.    wt: 12:   3 Product Axioms Two Forms
  878.    wt: 12:   5 Greater More Less Than Signs in General
  879.    wt: 12:   4 Comparison of Negative Numbers
  880.    wt: 12:   3 More and Less Than with Unlike Signs
  881.    wt: 12:   6 Algebraic Solution Example
  882.    wt: 12:   4 Four Examples Fractional Coefficients
  883.    wt: 12:   3 Four Examples
  884.    wt: 12:   10 One Example
  885.    wt: 12:   8 One Example
  886.    wt: 12:   7 Two Examples
  887.    wt: 12:   4 Two Examples
  888.    wt: 12:   5 Box Volume Formula Example
  889.    wt: 12:   15 Remainder Arithmetic Modulo 9 Example
  890.    wt: 12:   14 Remainder Arithmetic Modulo 9 Example
  891.    wt: 12:   12 Remainder Arithmetic Modulo 10 Example
  892.    wt: 12:   9 Remainder Arithmetic Divisibility by 5
  893.    wt: 12:   8 Remainder Arithmetic Morulo 5 Examples II
  894.    wt: 12:   7 Remainder Arithmetic Modulo 5 Examples I
  895.    wt: 12:   7 Calculator Usage Notes and Cautions
  896.    wt: 12:   5 Prime Factorization and a Square Rule
  897.    wt: 12:   3 Division Single Digit Divisor Example
  898.    wt: 12:   A Elementary Basis for Multiplication Methods
  899.    wt: 12:   Video Decimal Multiplication Geometric View Example 2
  900.    wt: 12:   Video Power Notation in Decimal Expansion
  901.    wt: 12:   Subtraction with J Conversions Example
  902.    wt: 12:   Subtraction Another Video Lesson
  903.    wt: 12:   Appendix 1 Counting Revisited 15 minute video
  904.    wt: 12:   7 Adding decimal fractions using decimal point
  905.    wt: 12:   6. Counting and adding units and mixed units
  906.    wt: 12:   5. How to add decimals C. Examples
  907.    wt: 12:   1. Explaining Addition Table
  908.    wt: 12:   11 Place Value SI Standard International way
  909.    wt: 12:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  910.    wt: 12:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  911.    wt: 12:   Example 1 volume of a pyramid
  912.    wt: 12:   Example 4 with x function of y
  913.    wt: 12:   Example 3
  914.    wt: 12:   A Chain Rule Real Player video examples
  915.    wt: 12:   38 Formulas and derivatives for powers and roots
  916.    wt: 12:   Chapter 21 Arrow Addition
  917.    wt: 12:   Fall 1983 Calculus Appetizer
  918.    wt: 12:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  919.    wt: 12:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  920.    wt: 11:   J LAMP Introduction Extrinsic Origins
  921.    wt: 11:   I LAMP Introduction Study Habits
  922.    wt: 11:   H LAMP Introduction Instructional Concepts
  923.    wt: 11:   F LAMP Introduction Prerequisites
  924.    wt: 11:   Ramblings Extrinsic numbers theory
  925.    wt: 11:   5 logarithms and exponentials etc
  926.    wt: 11:   10 quadratic exercises
  927.    wt: 11:   5 quadratics completing the square
  928.    wt: 11:   7 Formulas for Roots with Logarithms Derivation
  929.    wt: 11:   6 Formulas for Even and Odd Roots with Logarithms
  930.    wt: 11:   2 Square Root Simplification a prequel
  931.    wt: 11:   6 Radian Measure to Degrees
  932.    wt: 11:   5 Degrees to Radian Measure
  933.    wt: 11:   7 Coordinate Addition and Scalar Multiplication
  934.    wt: 11:   4 graphing y=Asin(x c)
  935.    wt: 11:   3 graphing y=f(x c) plus K
  936.    wt: 11:   1 graphing y=f(x a)
  937.    wt: 11:   Triangle Angles Sum To 180 Degrees
  938.    wt: 11:   SAS Method For Isometric Or Proportional Triangle Construction
  939.    wt: 11:   D Straight Lines Slope from Coordinates Examples
  940.    wt: 11:   13 Straight Lines Finding Equations from 2 points
  941.    wt: 11:   11 Straight Lines Graphing y=mx
  942.    wt: 11:   7 Tangent Function is odd on this domain
  943.    wt: 11:   6 Tangent Function Inclination Angle Take 2
  944.    wt: 11:   2 Straight Lines Slopes As Rise Over Run
  945.    wt: 11:   35 sines and cosines of 2A 3A 4A 5A
  946.    wt: 11:   7 Translations Rotations Reflections Dilatations
  947.    wt: 11:   11 A Partial Summary
  948.    wt: 11:   PS D Addition with Cartesian Coordinates
  949.    wt: 11:   13 Angle Side Angle Failure
  950.    wt: 11:   8 More Use of Maps Not Drawn to Scale
  951.    wt: 11:   15 Head to Tails in place Addition Associative
  952.    wt: 11:   5 Proportionality in Equivalent Fractions
  953.    wt: 11:   1 What is Proportionality
  954.    wt: 11:   1 Equivalent Computation Rules
  955.    wt: 11:   3 Geometric Formulas and Function Notation
  956.    wt: 11:   2 GE II Comparison
  957.    wt: 11:   1 GE Substitution four examples
  958.    wt: 11:   5 Algebraic Solutions Introduction
  959.    wt: 11:   2 Three Examples
  960.    wt: 11:   1 Proper Equal Sign Usage
  961.    wt: 11:   C Equality for Fractions and Two Term Ratios and Fractions
  962.    wt: 11:   13 Fraction Comparison Algebraic View
  963.    wt: 11:   8 Numerals Fractionals Quantals Take II
  964.    wt: 11:   27 Divisibility by 2 3 6 5 9 10 Example
  965.    wt: 11:   26 Divisibility by 2 3 5 Example
  966.    wt: 11:   25 Divisibility Tests for 2 3 5 9 10 Example
  967.    wt: 11:   16 Remainder Arithmetic Modulo 9 Example 2
  968.    wt: 11:   11 Remainder Arithmetic Long Division by 5 Quickly more
  969.    wt: 11:   10 Remainder Arithmetic Long Division by 5 Quickly
  970.    wt: 11:   10 video Prime Factorization upto 23 squared
  971.    wt: 11:   3 video Primes and Composites from 9 times table
  972.    wt: 11:   Long Division Backward
  973.    wt: 11:   5 Decimal Fraction Multiplication
  974.    wt: 11:   8 What skills and work habits to require
  975.    wt: 11:   5 More on Groups of 3 Place Value in Decimal Fractions
  976.    wt: 11:   4 Groups of 3 Place Value in Decimal Fractions
  977.    wt: 11:   3 More on Groups of 3 Multi Digit Place Value
  978.    wt: 11:   Example 2 volume of a cone
  979.    wt: 11:   Area Between Crossing Curves Lesson Take 2
  980.    wt: 11:   Area Between Crossing Curves Lesson Take 1
  981.    wt: 11:   Example 2
  982.    wt: 11:   Example 1
  983.    wt: 11:   Area Between Curves Lesson Take 2
  984.    wt: 11:   Area Between Curves Lesson Take 1
  985.    wt: 11:   34 Derivative of exponential function
  986.    wt: 11:   28 Chain Rule Preparation for a Proof
  987.    wt: 11:   25 Chain Rule Animated Examples Continued
  988.    wt: 11:   24 Chain Rule Animated Examples
  989.    wt: 11:   7 Animated Differentiation Examples
  990.    wt: 11:   1 Fall 1983 Why Slopes Appetizer
  991.    wt: 11:   13 Limits with Parameters and Derivatives Take II
  992.    wt: 11:   Postscript Pythagorean Theorem yet another proof
  993.    wt: 11:   Chapter 23 Links To Trigonometry
  994.    wt: 11:   Chapter 22 Complex Numbers
  995.    wt: 11:   Chapter 20 Vectors and Complex Numbers
  996.    wt: 11:   Chapter 12. Units and Slopes
  997.    wt: 11:   Chapter 10 Slopes and Units
  998.    wt: 11:   Chapter 9 About First Courses in Calculus
  999.    wt: 11:   Chapter 7 Slopes and Velocity
  1000.    wt: 11:   Chapter 4 Implication Rules Forwards and Backwards
  1001.    wt: 11:   Chapter 3 What is in chapters 4 to 8
  1002.    wt: 11:   More Algebra and Slope based Calculus Preview
  1003.    wt: 11:   Systematic Algebra Skill Development Missing Links
  1004.    wt: 10:   K LAMP Musings Science Education
  1005.    wt: 10:   G LAMP Introduction Problem Solving Skills
  1006.    wt: 10:   A Introduction Objectives
  1007.    wt: 10:   Skills Chapter 5 Calculus
  1008.    wt: 10:   Skills Chapter 1 Arithmetic
  1009.    wt: 10:   Skills Chapter 0 Introduction
  1010.    wt: 10:   7 logic review and decimals an odd combination
  1011.    wt: 10:   3 Euclidean Geometry Leanly
  1012.    wt: 10:   Applied Maths Program14092009 POMME variant
  1013.    wt: 10:   teaching tutoring algebraic reason
  1014.    wt: 10:   three goals for Mathematics Education
  1015.    wt: 10:   Objectives for Mathematics and Logic Language Skill Development
  1016.    wt: 10:   4 quadratics difference of two squares
  1017.    wt: 10:   Quadratics in 10 steps
  1018.    wt: 10:   6 Polynomial Operations and Equivalent Computation Rules
  1019.    wt: 10:   A Global Time and Navigation
  1020.    wt: 10:   3 Navigation with Arrows or Vectors
  1021.    wt: 10:   Analytic View of Triangle Construction or Line Instersection More
  1022.    wt: 10:   Straight Lines ASA Intersection Study More
  1023.    wt: 10:   Straight Lines ASA Intersection Study
  1024.    wt: 10:   A Straight Line Slope Scaling Properties
  1025.    wt: 10:   10 Straight Lines through Origin Equations More
  1026.    wt: 10:   9 Straight Lines through Origin Equations
  1027.    wt: 10:   8 Straight Lines Equation for vertical
  1028.    wt: 10:   10 Similarity of Triangles Equivalent of Two Criteria
  1029.    wt: 10:   9 Similarity of Triangles Usual Criteria
  1030.    wt: 10:   6 Geometric Diagrams in Class
  1031.    wt: 10:   5 Similarity of Circles Squares and Rectangles
  1032.    wt: 10:   3 Similarity by Design with coordinates
  1033.    wt: 10:   10 Midpoint of [a b] and [b a]
  1034.    wt: 10:   7 Exercises to test skill and concept mastery
  1035.    wt: 10:   3 Slope product for perpendicular lines
  1036.    wt: 10:   What is and is not here
  1037.    wt: 10:   PS H Distributive Law For Complex Numbers
  1038.    wt: 10:   PS G Rotation Distributes over Addition
  1039.    wt: 10:   PS E Multiplication with Polar Coordinates
  1040.    wt: 10:   PS B Parallelogram Construction Methods
  1041.    wt: 10:   6 Ruler and compass Angle Bisection
  1042.    wt: 10:   3 Isometry of Triangles Congruence
  1043.    wt: 10:   6 Figuring with Maps Not to Scale
  1044.    wt: 10:   2 Measuring Area Directly
  1045.    wt: 10:   A Modular and Remainder Arithmetic
  1046.    wt: 10:   26 More Less Greater Than Comparison
  1047.    wt: 10:   23 Distributive Law Two Derivations
  1048.    wt: 10:   13 Arrows and Vectors in a Plane
  1049.    wt: 10:   B Decimal Comparison and Subtraction
  1050.    wt: 10:   2 Algebraic View
  1051.    wt: 10:   8 Coordinates for Maps and Planes
  1052.    wt: 10:   2 Computation Rules Evaluation
  1053.    wt: 10:   1 Formulas Dependence and Function Notation
  1054.    wt: 10:   1 Essentially One Unknown
  1055.    wt: 10:   Skill Development Notes
  1056.    wt: 10:   Formula Usage Show Work Format
  1057.    wt: 10:   13 Naming Identifying Formulas with Words
  1058.    wt: 10:   8 Compound Interest Formula Evaluation
  1059.    wt: 10:   1 Written work formats for developing and showing skill
  1060.    wt: 10:   3 Comparison of Negative Numbers
  1061.    wt: 10:   3 Properties of Square Roots with example
  1062.    wt: 10:   1 Squares and Square Roots Introduction
  1063.    wt: 10:   9 GCD of 360 110 via Primes and Euclid Algorithm
  1064.    wt: 10:   2 Least Common Multiple LCM intro via list method
  1065.    wt: 10:   3 signed coordinates for maps and planes
  1066.    wt: 10:   5 Reciprocals and Division for Fractions with Units
  1067.    wt: 10:   A Similarities between Fractions and Two Term Ratios
  1068.    wt: 10:   16 Addition Subtraction Comparision Compared
  1069.    wt: 10:   10 Simplification of Fractions and Mixed Numerals
  1070.    wt: 10:   7 Numerals Fractionals Quantals
  1071.    wt: 10:   6 Multiplication Algebraically Take II
  1072.    wt: 10:   3 Unit fraction of a fraction
  1073.    wt: 10:   1 What is a fraction Take II
  1074.    wt: 10:   23 Remainder Arithmetic Modulo 2
  1075.    wt: 10:   22 Remainder Arithmetic Modulo 3 more
  1076.    wt: 10:   21 Remainder Arithmetic Modulo 3
  1077.    wt: 10:   19 Remainder Arithmetic Rule of 9 for checking sums III
  1078.    wt: 10:   6 Remainder Arithmetic Modulo 5 Propertie
  1079.    wt: 10:   4 Remainder Arithmetic Modulo 10 in general
  1080.    wt: 10:   3 Remainder Arithmetic Modulos 10 more still
  1081.    wt: 10:   18 video Count Factors given Prime Factorization
  1082.    wt: 10:   15 video Factors of 20 using Prime Factorization
  1083.    wt: 10:   13 video Factors of 24 using prime
  1084.    wt: 10:   9 video Prime Factorization upto 19 squared
  1085.    wt: 10:   4 video Prime Factorization Introduction
  1086.    wt: 10:   1 video how Products are bigger than factor
  1087.    wt: 10:   Long Division Backwards more
  1088.    wt: 10:   11 Another Single Digit Divisor Example
  1089.    wt: 10:   7 Long Divison Mistake Catching
  1090.    wt: 10:   6 Why Decimal Long Division Methods Works Take I
  1091.    wt: 10:   8 Subtraction with Units of Measure
  1092.    wt: 10:   5 A Tip for Efficent Subtraction
  1093.    wt: 10:   4 Subtraction with Conversions Borrows and Letter J
  1094.    wt: 10:   4. How to add with decimals B with conversions
  1095.    wt: 10:   2 Decimal Counting Practices
  1096.    wt: 10:   9 Place Value Review Decimal form of Avogrados number included
  1097.    wt: 10:   2 Groups of Three Place Value for Multidigit Decimals
  1098.    wt: 10:   4 Second derivative test exercise example
  1099.    wt: 10:   36 Cube root derivative animated
  1100.    wt: 10:   31 Derivatives of inverse functions
  1101.    wt: 10:   23 Chain Rule in general
  1102.    wt: 10:   22 Chain Rule for polynomials
  1103.    wt: 10:   15 sine and cosine derivatives 3rd step
  1104.    wt: 10:   13 sine and cosine derivatives 1st step
  1105.    wt: 10:   3 Motivation for Limit Definition Take 2
  1106.    wt: 10:   B3 Bolzano Weierstrass Theorem
  1107.    wt: 10:   Chapter 11. Graphing Slope versus Position
  1108.    wt: 10:   Chapter 8. Slope Interpretation
  1109.    wt: 10:   Chapter 1.Introduction
  1110.    wt: 10:   Chapter 25. Mathematical Induction Examples
  1111.    wt: 10:   Chapter 14. Forward and Backward Use of a Formula
  1112.    wt: 10:   Chapter 22 Contrapositive and Vacuously True Implications
  1113.    wt: 10:   Chapter 17 Objective Ways Trial and Error Discovery
  1114.    wt: 10:   Chapter 16 Origins and Limitations of Rules and Patterns
  1115.    wt: 10:   Chapter 14 Deductive and Empirical Views of Mathematics
  1116.    wt: 10:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  1117.    wt: 10:   Chapter 12 Islands and Divisions of Knowledge
  1118.    wt: 10:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  1119.    wt: 10:   Phase 1. Basics Skills with clear take home value 5 to 6 years

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