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

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1078 matches:

  1.    wt: 9:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  2.    wt: 9:   13 Pythagorean spatial distance formulas
  3.    wt: 9:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  4.    wt: 9:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  5.    wt: 8:   14 Why Scalar Multiplication Distributes Physical Argument
  6.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  7.    wt: 8:   3 Lengths and Areas on Maps and Plans
  8.    wt: 8:   11 Place Value SI Standard International way
  9.    wt: 8:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  10.    wt: 7:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  11.    wt: 7:   sign monoticity analysis example 3
  12.    wt: 7:   3 Natural Logarithms and Exponentials Basic Properties
  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:   10 Pythagorean plane distance formula
  18.    wt: 7:   9 Circle Area and Perimeter Formula Backwards Forwards
  19.    wt: 7:   8 Pythagorean Relation Forwards Backwards
  20.    wt: 7:   4 Rectangle Area and Like Formulas Backwards
  21.    wt: 7:   6 Pythagorean Hypotenuse Calculation Example
  22.    wt: 7:   C Equality for Fractions and Two Term Ratios and Fractions
  23.    wt: 7:   Long Division forwards and backwards Example 3
  24.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  25.    wt: 7:   33 Chain Rule Real Player video examples
  26.    wt: 7:   Chapter 14. Forward and Backward Use of a Formula
  27.    wt: 7:   Chapter 17 Objective Ways Trial and Error Discovery
  28.    wt: 7:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  29.    wt: 7:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  30.    wt: 7:   Montreal Basic and Advanced Mathematics Tutoring
  31.    wt: 6:   Appendix 1 primary and preschool mathematic
  32.    wt: 6:   Ramblings Introduction Algebra Essay
  33.    wt: 6:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  34.    wt: 6:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  35.    wt: 6:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  36.    wt: 6:   5 Patience Please for Yourself and Your Charges
  37.    wt: 6:   sign monoticity analysis example 4
  38.    wt: 6:   sign monoticity analysis example 2
  39.    wt: 6:   sign monoticity analysis example 1
  40.    wt: 6:   8 quadratics backward use of various formulas
  41.    wt: 6:   5 Natural Logarithm Calculator Exercises
  42.    wt: 6:   6 Polynomial Operations and Equivalent Computation Rules
  43.    wt: 6:   9 Summary Degrees to Radians and back
  44.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  45.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  46.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  47.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  48.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  49.    wt: 6:   29 secant cosecant and cotangent for acute angles
  50.    wt: 6:   5 Cartesian Addition and Translation
  51.    wt: 6:   PS F Scalar Multiplication Distributes over Addition
  52.    wt: 6:   4 Angles on Maps Plans drawn to scale
  53.    wt: 6:   25 Mid way Convergence to Axiomatic Approach
  54.    wt: 6:   15 Head to Tails in place Addition Associative
  55.    wt: 6:   3 Inequalities Algebraically
  56.    wt: 6:   5 Triangle Area Formula Backwards
  57.    wt: 6:   3 Gaussian Elimination 3 unknowns first example
  58.    wt: 6:   3 Triangle Area Formula Example
  59.    wt: 6:   2 Another Rectangle Area Formula Example
  60.    wt: 6:   3 signed coordinates for maps and planes
  61.    wt: 6:   13 Fraction Comparison Algebraic View
  62.    wt: 6:   8 Numerals Fractionals Quantals Take II
  63.    wt: 6:   6 Multiplication Algebraically Take II
  64.    wt: 6:   A Decimals Modular and Remainder Arithmetic
  65.    wt: 6:   Long Division forwards and backwards Example 2
  66.    wt: 6:   Long Division forwards and backwards Example 1
  67.    wt: 6:   A Elementary Basis for Multiplication Methods
  68.    wt: 6:   3 Harder Cases Convert to Compare and Subtract
  69.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  70.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  71.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  72.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  73.    wt: 6:   A Chain Rule Real Player video examples
  74.    wt: 6:   7 Evaluation by immediate or delayed substitution
  75.    wt: 6:   Chapter 19. Exponentials and Natural Logarithms
  76.    wt: 6:   Chapter 14 Limits and Continuity with and sans Decimals
  77.    wt: 6:   Chapter 3. Slope Sign Analysis
  78.    wt: 6:   Appendix E. How To Study Mathematics and Why
  79.    wt: 6:   Chapter 29 Contrapositive and Vacuously True Implications
  80.    wt: 6:   Chapter 2 Implication Rules Forwards and Backwards
  81.    wt: 6:   Chapter 2 For and Against Mathematics
  82.    wt: 6:   Chapter 22 Contrapositive and Vacuously True Implications
  83.    wt: 6:   Chapter 4 Implication Rules Forwards and Backwards
  84.    wt: 6:   V Reasons and Motivations for Logic and Mathematics
  85.    wt: 5:   C LAMP Introduction Culture in Mathematics Education
  86.    wt: 5:   8 analytic geometry etc
  87.    wt: 5:   3 Euclidean Geometry Leanly
  88.    wt: 5:   Applied Maths Program14092009 POMME variant
  89.    wt: 5:   Education in mathematics science and technology
  90.    wt: 5:   chapitre 07 00 Des chaines plus longues de la raison
  91.    wt: 5:   chapitre 06 00 Chaines de la raison
  92.    wt: 5:   chapitre 03 A Propos Des Prochains Chapitre
  93.    wt: 5:   2 Conductance Resistance Duality02
  94.    wt: 5:   1 Conductance Resistance Duality01
  95.    wt: 5:   E Wire Resistance Calculation03
  96.    wt: 5:   A Wire Resistance Qualitative01
  97.    wt: 5:   27 Graduated Correction and Penalties for Young Offenders
  98.    wt: 5:   25 Mathematics Education Leaving A Good Impression
  99.    wt: 5:   16 Secondary Mathematics Tips
  100.    wt: 5:   13 Addition and Addition Tables
  101.    wt: 5:   6 Discipline Who is in Charge Conserving Authority
  102.    wt: 5:   Objectives for Mathematics and Logic Language Skill Development
  103.    wt: 5:   25 Absolute Value greatest integer and saw tooth functions
  104.    wt: 5:   17 Function maxima minima and their location
  105.    wt: 5:   4 Function notation in and beyond mathematics
  106.    wt: 5:   A Quadratics Summary
  107.    wt: 5:   9 quadratics physical and further context
  108.    wt: 5:   6 quadratics numerical approach
  109.    wt: 5:   3 quadratics factoring by inspection
  110.    wt: 5:   5 Polynomials Long division Nonlinear divisor
  111.    wt: 5:   4 Polynomials Long division linear divisor
  112.    wt: 5:   3 Polynomials Multiplication Addition
  113.    wt: 5:   7 Radian Measures in special Triangles
  114.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  115.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  116.    wt: 5:   2 Radian Measure Numerical Value of one degree
  117.    wt: 5:   A Global Time and Navigation
  118.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  119.    wt: 5:   31 basic secant cosecant cotangent trig identities
  120.    wt: 5:   19 Pythagorean Identity For sine and cosine functions
  121.    wt: 5:   18 sum of sinusoidal waves as a single wave
  122.    wt: 5:   16 Right Triangle Complementary Angle Relations
  123.    wt: 5:   13 Graph of tangent function many periods
  124.    wt: 5:   5 An Easy Proof of the Distributive Law
  125.    wt: 5:   5 Trigonometric Ratios For Tangent and Special Triangles
  126.    wt: 5:   2 Similar Triangles Equality of Corresponding Side Ratios
  127.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  128.    wt: 5:   9 Similarity of Triangles Usual Criteria
  129.    wt: 5:   8 Similarity of Triangles and Polygons
  130.    wt: 5:   7 Translations Rotations Reflections Dilatations
  131.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  132.    wt: 5:   3 Similarity by Design with coordinates
  133.    wt: 5:   11 A Partial Summary
  134.    wt: 5:   PS D Addition with Cartesian Coordinates
  135.    wt: 5:   5 Drawing to Scale Avoids Angle Distortions
  136.    wt: 5:   A Modular and Remainder Arithmetic
  137.    wt: 5:   13 Arrows and Vectors in a Plane
  138.    wt: 5:   B Decimal Comparison and Subtraction
  139.    wt: 5:   1 Decimals Modular and Remainder Arithmetic
  140.    wt: 5:   4 Rates Ratios and Proporitionality
  141.    wt: 5:   8 Coordinates for Maps and Planes
  142.    wt: 5:   5 Gaussian Elimination for 3 unknowns 2nd example
  143.    wt: 5:   3 GE III Equation Addition and Multiplication
  144.    wt: 5:   4 Solving a triangular system exercise
  145.    wt: 5:   3 Solving triangular system example
  146.    wt: 5:   9 Sets in Probability and Statistics
  147.    wt: 5:   4 A Brief Story of numbers and algebra
  148.    wt: 5:   arithmetic videos Real Player Format
  149.    wt: 5:   A Similarities between Fractions and Two Term Ratios
  150.    wt: 5:   17 Efficient Ways to Add and Subtract
  151.    wt: 5:   16 Addition Subtraction Comparision Compared
  152.    wt: 5:   7 Numerals Fractionals Quantals
  153.    wt: 5:   1 What is a fraction Take II
  154.    wt: 5:   A Associative Law Theorectical Note
  155.    wt: 5:   27 Divisibility by 2 3 6 5 9 10 Example
  156.    wt: 5:   26 Divisibility by 2 3 5 Example
  157.    wt: 5:   11 Remainder Arithmetic Long Division by 5 Quickly more
  158.    wt: 5:   10 Remainder Arithmetic Long Division by 5 Quickly
  159.    wt: 5:   9 Remainder Arithmetic Divisibility by 5
  160.    wt: 5:   7 Calculator Usage Notes and Cautions
  161.    wt: 5:   5 Prime Factorization and a Square Rule
  162.    wt: 5:   10 Division by Five Long and Short Ways
  163.    wt: 5:   Appendix 1 Decimals Comparison Method Take II
  164.    wt: 5:   2 Subtraction Easy Case Examples
  165.    wt: 5:   3. How to add with decimals A sans conversions
  166.    wt: 5:   9 Place Value Review Decimal form of Avogrados number included
  167.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  168.    wt: 5:   Quick history of numbers and algebra
  169.    wt: 5:   Practical Methods Ends and Values for Arithmetic
  170.    wt: 5:   016 Numbering Occidental Calendar Days
  171.    wt: 5:   9 Comparison and Subtraction of Time Intervals
  172.    wt: 5:   Example 1. Area Between x and x squared
  173.    wt: 5:   A Related Material in Volume 3
  174.    wt: 5:   38 Formulas and derivatives for powers and roots
  175.    wt: 5:   1 Fall 1983 Why Slopes Appetizer
  176.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  177.    wt: 5:   Postscript Pythagorean Theorem yet another proof
  178.    wt: 5:   Chapter 18. Slopes Areas Integration
  179.    wt: 5:   Chapter 17. Area Approximation
  180.    wt: 5:   Chapter 15. Algebraic Evaluation of Limits
  181.    wt: 5:   Chapter 4. More Slope Sign Analysis
  182.    wt: 5:   Chapter 26 What is in chapters 27 to 31
  183.    wt: 5:   Chapter 25. Mathematical Induction Examples
  184.    wt: 5:   Chapter 25. Mathematical Induction Examples
  185.    wt: 5:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  186.    wt: 5:   Chapter 10 Describing and Changing Calculations
  187.    wt: 5:   Chapter 5 Islands and Divisions of Knowledge
  188.    wt: 5:   Chapter 6 Rule Based Reason in Mathematics
  189.    wt: 5:   Postscript C Consistency as a Tool for Reason
  190.    wt: 5:   Chapter 16 Origins and Limitations of Rules and Patterns
  191.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
  192.    wt: 5:   Chapter 12 Islands and Divisions of Knowledge
  193.    wt: 5:   Chapter 3 What is in chapters 4 to 8
  194.    wt: 5:   More Algebra and Slope based Calculus Preview
  195.    wt: 5:   Systematic Algebra Skill Development Missing Links
  196.    wt: 5:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  197.    wt: 4:   Appendix 2 primary school Arithmetic 01
  198.    wt: 4:   I LAMP Introduction Study Habits
  199.    wt: 4:   E LAMP Introduction Modern Mathematics
  200.    wt: 4:   B LAMP Introduction Curriculum Development Standards
  201.    wt: 4:   Skills Chapter 3 Algebra
  202.    wt: 4:   7 logic review and decimals an odd combination
  203.    wt: 4:   5 logarithms and exponentials etc
  204.    wt: 4:   Maps Plans Drawings
  205.    wt: 4:   Secondary Three Mathematics
  206.    wt: 4:   Secondary Two Mathematics
  207.    wt: 4:   Secondary One Mathematics
  208.    wt: 4:   talk the algebra talk
  209.    wt: 4:   teaching tutoring algebraic reason
  210.    wt: 4:   three goals for Mathematics Education
  211.    wt: 4:   standards for course material
  212.    wt: 4:   education an empirical art
  213.    wt: 4:   chapitre 04 10 Etapes pour une meilleur raison
  214.    wt: 4:   F Wire Resistance Calculation04
  215.    wt: 4:   D Wire Resistance Calculation02
  216.    wt: 4:   C Wire Resistance Calculation01
  217.    wt: 4:   B Wire Resistance Qualitative02
  218.    wt: 4:   3 Like resistors in parallel
  219.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take IV
  220.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take III
  221.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take II
  222.    wt: 4:   18 Primary School Mathematics
  223.    wt: 4:   17 Math Booklets for children and young teenagers
  224.    wt: 4:   12 Goals and Objectives For Mathematics
  225.    wt: 4:   22 Square Root function graphically
  226.    wt: 4:   15 Sign analysis of functions
  227.    wt: 4:   11 Function Domain Range Source and Targets
  228.    wt: 4:   6 Set Existence Formation and Notation
  229.    wt: 4:   3 Formula or function graphing exercise
  230.    wt: 4:   7 quadratic formulla derivation
  231.    wt: 4:   2 quadratics graphing in general
  232.    wt: 4:   1 quadratics graphing exercises
  233.    wt: 4:   11 Growth and Decay in Biology
  234.    wt: 4:   10 Exponential Growth and Decay Models
  235.    wt: 4:   8 Formulas for Fractional Exponents with Logarithms
  236.    wt: 4:   1 Calculator Starter Exercises
  237.    wt: 4:   1 Polynomials Distributive Law
  238.    wt: 4:   13 cosecant function Definition Graph and Inverse
  239.    wt: 4:   11 arctan left inverse of tangent Graph
  240.    wt: 4:   5 Swapping Coordinates is a reflection
  241.    wt: 4:   8 Radian Measures of Common Angles
  242.    wt: 4:   1 Degrees and Radians Introduction
  243.    wt: 4:   10 Parallelogram Addition Method
  244.    wt: 4:   5 Head To Tail Arrow Addition
  245.    wt: 4:   3 Navigation with Arrows or Vectors
  246.    wt: 4:   Parallel Lines and Interior Angles
  247.    wt: 4:   SAS Method For Isometric Or Proportional Triangle Construction
  248.    wt: 4:   Analytic View of Triangle Construction or Line Instersection More
  249.    wt: 4:   Straight Lines ASA Intersection Study More
  250.    wt: 4:   Straight Lines ASA Intersection Study
  251.    wt: 4:   14 Straight Lines Equations General Case
  252.    wt: 4:   7 Tangent Function is odd on this domain
  253.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  254.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  255.    wt: 4:   32 seven rows of pascals triangle
  256.    wt: 4:   22 sine of 22.5 degrees via half angle formulas
  257.    wt: 4:   21 sine and cosine Half Angle Formulas
  258.    wt: 4:   17D cis formulas for sine cosines and tangent
  259.    wt: 4:   17B sine cosine Angle Sum Formulas via cis
  260.    wt: 4:   15 sine cosine Complementary Angle Relations
  261.    wt: 4:   14 cosine even and sine and tangent are odd
  262.    wt: 4:   10 Graphs of sines and cosines many periods
  263.    wt: 4:   12 cis formulas for sine cosines and tangent
  264.    wt: 4:   10 sine cosine Angle Sum Formulas via cis
  265.    wt: 4:   7 Second Way to Calculate Products
  266.    wt: 4:   1 Rectangular Polar Coordinates Review
  267.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  268.    wt: 4:   Why Trigonometry the whyslopes view
  269.    wt: 4:   11 Triangle Similarity Missing Side Problem
  270.    wt: 4:   1 Early Concept of Like or Similar Shapes
  271.    wt: 4:   7 Exercises to test skill and concept mastery
  272.    wt: 4:   What is and is not here
  273.    wt: 4:   9 Pythagorean Theorem Chinese Square Proof
  274.    wt: 4:   6 Polar Multiplication and Rotation
  275.    wt: 4:   3 Rectangular Coordinates Review
  276.    wt: 4:   1 Cartesian Coordinates sans signs
  277.    wt: 4:   PS G Rotation Distributes over Addition
  278.    wt: 4:   PS E Multiplication with Polar Coordinates
  279.    wt: 4:   PS C Similarity Use Recognize it in Trigonometry
  280.    wt: 4:   PS B Parallelogram Construction Methods
  281.    wt: 4:   18 Triangle Similarity Take 1
  282.    wt: 4:   16 Angles Subtended By Chords and Diameters
  283.    wt: 4:   13 Angle Side Angle Failure
  284.    wt: 4:   6 Ruler and compass Angle Bisection
  285.    wt: 4:   3 Isometry of Triangles Congruence
  286.    wt: 4:   8 More Use of Maps Not Drawn to Scale
  287.    wt: 4:   2 Measuring Area Directly
  288.    wt: 4:   26 More Less Greater Than Comparison
  289.    wt: 4:   23 Distributive Law Two Derivations
  290.    wt: 4:   18 Geometrically Why Vector Addition Commutes
  291.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  292.    wt: 4:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  293.    wt: 4:   8 Division and Mulplication of Compound Fractions
  294.    wt: 4:   3 Location of Point in Decimal Multiplication
  295.    wt: 4:   5 Areas of Rectangles Revisited
  296.    wt: 4:   4 Fraction Operations Axiomatic Development
  297.    wt: 4:   2 Fraction Operations Physical Development
  298.    wt: 4:   5 Proportionality in Equivalent Fractions
  299.    wt: 4:   3 Proportionality Examples
  300.    wt: 4:   1 What is Proportionality
  301.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  302.    wt: 4:   6 Compound Interest Forward and Backwards
  303.    wt: 4:   3 Linear Equation Literal Solution More
  304.    wt: 4:   6 Equations and Systems Equivalent or Implied
  305.    wt: 4:   5 Equality in Algebra
  306.    wt: 4:   4 Subtraction and Division Axioms
  307.    wt: 4:   2 Addition and Multiplication Axioms
  308.    wt: 4:   2 More and Less Than for Counts and Measures
  309.    wt: 4:   3 Geometric Formulas and Function Notation
  310.    wt: 4:   13 Naming Identifying Formulas with Words
  311.    wt: 4:   4 Circle Area Formula Example
  312.    wt: 4:   6 Three Notions of What is a Variable
  313.    wt: 4:   5 Talking about Numbers and Quantities
  314.    wt: 4:   2 What is a Variable
  315.    wt: 4:   3 Comparison of Negative Numbers
  316.    wt: 4:   1 More and Less Than for Counts and Measures
  317.    wt: 4:   1 Squares and Square Roots Introduction
  318.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  319.    wt: 4:   2 Least Common Multiple LCM intro via list method
  320.    wt: 4:   11 What are real lengths and numbers
  321.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  322.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  323.    wt: 4:   14 Adding and Subtracting with Like Denominators
  324.    wt: 4:   11 Simplification an Algebraic View
  325.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  326.    wt: 4:   3 Unit fraction of a fraction
  327.    wt: 4:   1 What is a fraction
  328.    wt: 4:   11 Adding Integers Formulas and Examples
  329.    wt: 4:   6 Multiplication by Natural Numbers
  330.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  331.    wt: 4:   13 Remainder Arithmetic Modulo 5 Example
  332.    wt: 4:   10 video Prime Factorization upto 23 squared
  333.    wt: 4:   7 Long Divison Mistake Catching
  334.    wt: 4:   6 Why Decimal Long Division Methods Works Take I
  335.    wt: 4:   3 Division Single Digit Divisor Example
  336.    wt: 4:   7 Subtraction for Decimal Fractions with Exercises
  337.    wt: 4:   7 Adding decimal fractions using decimal point
  338.    wt: 4:   2 Groups of Three Place Value for Multidigit Decimals
  339.    wt: 4:   Exact Arithmetic Wholes and Fractions
  340.    wt: 4:   The 12 Times Table Visually
  341.    wt: 4:   015 School and work day counting tables
  342.    wt: 4:   014 Counting Days with Calendars
  343.    wt: 4:   012 Division of Time Intervals by Time Intervals
  344.    wt: 4:   8 Addition of Time Intervals via subtotaling
  345.    wt: 4:   Example 1 volume of a pyramid
  346.    wt: 4:   4 Definite Integrals Evaluation Exercises
  347.    wt: 4:   36 Cube root derivative animated
  348.    wt: 4:   28 Chain Rule Preparation for a Proof
  349.    wt: 4:   25 Chain Rule Animated Examples Continued
  350.    wt: 4:   24 Chain Rule Animated Examples
  351.    wt: 4:   7 Animated Differentiation Examples
  352.    wt: 4:   12 Limits with Parameters and Derivatives Take I
  353.    wt: 4:   PostScript For and Against Decimal Perspectives
  354.    wt: 4:   Chapter 24 Logarithms Powers and Exponentials
  355.    wt: 4:   Chapter 16. Velocity Approximation
  356.    wt: 4:   Chapter 13. Acceleration
  357.    wt: 4:   Chapter 7 Slopes and Velocity
  358.    wt: 4:   Chapter 6. Slopes and Vertical Shifts
  359.    wt: 4:   Chapter 2. Slopes and Ski Trails
  360.    wt: 4:   Fall 1983 Calculus Appetizer
  361.    wt: 4:   Appendix D. What to do in School and Why
  362.    wt: 4:   Appendix A. Reading Guide For Next Appendices
  363.    wt: 4:   Chapter 31 Direct and Indirect Reason
  364.    wt: 4:   Chapter 27 Shorthand Symbols as Pronouns
  365.    wt: 4:   Chapter 20. Degrees and Radians
  366.    wt: 4:   Postscript Unifying Theme A Fourth Skill For Algebra
  367.    wt: 4:   Postscript What is a Variable
  368.    wt: 4:   Chapter 9 Talking about Numbers or Quantities
  369.    wt: 4:   Chapter 7 Prep for Calculus Arithmetic Exercises
  370.    wt: 4:   Chapter 6 Change of Language
  371.    wt: 4:   Chapter 3 Chains of Reason
  372.    wt: 4:   Annotated Links to Material Elsehwere
  373.    wt: 4:   Chapter 4 Complex Numbers and Why Slopes
  374.    wt: 4:   Chapter 3 Algebra Difficulties
  375.    wt: 4:   Chapter 20 Shorthand Symbols as Pronouns
  376.    wt: 4:   Chapter 19 What is in chapters 20 to 24
  377.    wt: 4:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  378.    wt: 4:   Chapter 11 Accidental Patterns
  379.    wt: 4:   Chapter 9 What is in Chapters 10 to 18
  380.    wt: 4:   Chapter 8 Change of Language
  381.    wt: 4:   R Why Learn Mathematics Skills
  382.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  383.    wt: 4:   O On Learning Mathematics and Science
  384.    wt: 4:   Multiple Ways to Improve Mathematics Skill Development
  385.    wt: 4:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  386.    wt: 3:   H LAMP Introduction Instructional Concepts
  387.    wt: 3:   F LAMP Introduction Prerequisites
  388.    wt: 3:   9 combinatorics probability sets
  389.    wt: 3:   6 polynomials etc
  390.    wt: 3:   Teach the teachers plus goals
  391.    wt: 3:   Math Ed if it must be short make it lean effective
  392.    wt: 3:   Mathematics Education Professors
  393.    wt: 3:   grouping students according to ability
  394.    wt: 3:   what should be learnt and When
  395.    wt: 3:   five decades make a difference
  396.    wt: 3:   geometric implications for algebra
  397.    wt: 3:   05 13 OldSiteEntrancePage
  398.    wt: 3:   02 20 mathematics education references
  399.    wt: 3:   three aims for mathematics students
  400.    wt: 3:   Operational Viewpoint to Value
  401.    wt: 3:   mathematics instruction in general
  402.    wt: 3:   three kinds of reason in mathematics
  403.    wt: 3:   Four ways to improve education reform
  404.    wt: 3:   need for a mixed mathematics curriculum
  405.    wt: 3:   Leaner mathematics curriculum
  406.    wt: 3:   Prequel In For A Penny In For A Pound
  407.    wt: 3:   chapitre 07 01 principle D induction mathematique
  408.    wt: 3:   chapitre 04 04 Parlons de la logique
  409.    wt: 3:   chapitre 02 00 La Communication des idees
  410.    wt: 3:   Trois Notions qui menent a algebre
  411.    wt: 3:   3 Energy Power Heat08
  412.    wt: 3:   2 Unlike resistors in parallel01
  413.    wt: 3:   24 Standards For Skill Develoment Take II
  414.    wt: 3:   23 Modularized Skill Development Modularized Rigor
  415.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  416.    wt: 3:   14 Multiplication and Times Tables
  417.    wt: 3:   11 Help and Defend Your Child or Teens Education
  418.    wt: 3:   9 Streaming by Student Cooperation
  419.    wt: 3:   4 Learning Takes Time and Effort
  420.    wt: 3:   Ages 12 to 14 Skills with take home value
  421.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  422.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  423.    wt: 3:   20 Interchanging coordinates a reflection
  424.    wt: 3:   16 Increasing or decreasing on intervals
  425.    wt: 3:   13 From one to one to many to one
  426.    wt: 3:   5 Function notation for geometric transformations
  427.    wt: 3:   2 Algebraic use of function notation
  428.    wt: 3:   10 quadratic exercises
  429.    wt: 3:   5 quadratics completing the square
  430.    wt: 3:   4 quadratics difference of two squares
  431.    wt: 3:   Quadratics in 10 steps
  432.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  433.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  434.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  435.    wt: 3:   2 Square Root Simplification a prequel
  436.    wt: 3:   Rewriting algebraic substitution as function substitutions
  437.    wt: 3:   16 cotangent function Definition Graph and Inverse
  438.    wt: 3:   15 cosecant function Definition Graph and Inverse
  439.    wt: 3:   14 secant function Definition Graph and Inverse
  440.    wt: 3:   12 motivation for term arctan
  441.    wt: 3:   10 arctan left inverse of tangent Definition
  442.    wt: 3:   9 motivation for name arcsin
  443.    wt: 3:   6 Radian Measure to Degrees
  444.    wt: 3:   5 Degrees to Radian Measure
  445.    wt: 3:   13 Velocity Vectors in Physics
  446.    wt: 3:   12 From Applied To Pure Mathematics
  447.    wt: 3:   9 Head to Tail Coordinate View
  448.    wt: 3:   4 graphing y=Asin(x c)
  449.    wt: 3:   3 graphing y=f(x c) plus K
  450.    wt: 3:   1 graphing y=f(x a)
  451.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  452.    wt: 3:   A Straight Line Slope Scaling Properties
  453.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  454.    wt: 3:   11 Straight Lines Graphing y=mx
  455.    wt: 3:   8 Straight Lines Equation for vertical
  456.    wt: 3:   17 tangent function angle sum formulas
  457.    wt: 3:   30 unit circle calculation of six trigonometric functions
  458.    wt: 3:   25 tangent double angle formula Slope connection
  459.    wt: 3:   24 tangent Angle Difference Formula
  460.    wt: 3:   20 sine and cosine Double Angle Formulas
  461.    wt: 3:   17G Pythagorean Theorem Converse
  462.    wt: 3:   17C sine and cosine double triple angle formulas
  463.    wt: 3:   17A The complex number valued trig function cis
  464.    wt: 3:   11 tangent function undefined when terminal side vertical
  465.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  466.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  467.    wt: 3:   2 Quadrant I reference Angles
  468.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  469.    wt: 3:   21 Logarithms Powers and Exponentials
  470.    wt: 3:   16 References and Originality Question
  471.    wt: 3:   15 Pythagorean Theorem Converse
  472.    wt: 3:   13 Trig Formulas for dot and cross Products
  473.    wt: 3:   11 sine and cosine double triple angle formulas
  474.    wt: 3:   Appetizer A Complex Number Applet
  475.    wt: 3:   8 Triangles Cascade Problem Solving
  476.    wt: 3:   4 Trigonometric Ratios For Two Special Triangles
  477.    wt: 3:   3 Trigonometric Ratios sine and cosine
  478.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  479.    wt: 3:   12 Triangles Similarity More Problems
  480.    wt: 3:   6 Geometric Diagrams in Class
  481.    wt: 3:   4 Similarity Definition with Coordinate
  482.    wt: 3:   2 Similarity By Design
  483.    wt: 3:   10 Midpoint of [a b] and [b a]
  484.    wt: 3:   6 Intersection of lines by solving linear systems
  485.    wt: 3:   5 Algebraic View of Slopes
  486.    wt: 3:   1 Numerical view of lines and their equations
  487.    wt: 3:   12 Spatial Coordinates
  488.    wt: 3:   11 Triangle Inequality
  489.    wt: 3:   8 Distance Between Points on a Line
  490.    wt: 3:   4 Polar Coordinates to and from
  491.    wt: 3:   2 Cartesian Coordinates with signs
  492.    wt: 3:   PS H Distributive Law For Complex Numbers
  493.    wt: 3:   21 Parallelograms
  494.    wt: 3:   19 Right Triangle Similarity
  495.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  496.    wt: 3:   14 Parallel Lines Postulate
  497.    wt: 3:   6 Figuring with Maps Not to Scale
  498.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  499.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  500.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  501.    wt: 3:   11 Signed Number Addition and Addition Properties
  502.    wt: 3:   9 Division with Digits after Decimal Point
  503.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  504.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  505.    wt: 3:   4 Location of Point in Decimal Addition
  506.    wt: 3:   1 Fractions with Finite Decimal Expansions
  507.    wt: 3:   A Decimal Addition Columm Methods
  508.    wt: 3:   7 Decimals Multiplication Methods Examples
  509.    wt: 3:   4 Commutative Law Groups Counting Form
  510.    wt: 3:   2 Linear Equation Literal Solution
  511.    wt: 3:   1 Changing Calculations
  512.    wt: 3:   5 Greater More Less Than Signs in General
  513.    wt: 3:   4 Comparison of Negative Numbers
  514.    wt: 3:   3 More and Less Than with Unlike Signs
  515.    wt: 3:   1 Real Numbers Comparison
  516.    wt: 3:   16 Real Numbers Comparison
  517.    wt: 3:   13 Real Number Subtraction
  518.    wt: 3:   12 Real Number Additive Inverses or Negatives
  519.    wt: 3:   7 Real Numbers as Line Cordinates
  520.    wt: 3:   1 Whole and Natural Numbers
  521.    wt: 3:   2 Computation Rules Evaluation
  522.    wt: 3:   1 Formulas Dependence and Function Notation
  523.    wt: 3:   4 GE III Animated Examples
  524.    wt: 3:   2 Essentially one exercises three with solution
  525.    wt: 3:   6 Algebraic Solution Example
  526.    wt: 3:   5 Algebraic Solutions Introduction
  527.    wt: 3:   4 Four Examples Fractional Coefficients
  528.    wt: 3:   Using Letters for Physical Quantities
  529.    wt: 3:   Formula Usage Show Work Format
  530.    wt: 3:   8 Compound Interest Formula Evaluation
  531.    wt: 3:   3 Adding Words To Arithmetic
  532.    wt: 3:   4 Greater More Less Than Signs in General
  533.    wt: 3:   3 Properties of Square Roots with example
  534.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  535.    wt: 3:   13 GCD from given Prime Factorization
  536.    wt: 3:   7 GCD and LCM from prime factorization
  537.    wt: 3:   3 Counting with Tables and Trees II
  538.    wt: 3:   7 negative and additive inverse
  539.    wt: 3:   2 signed and unsigned numbers as coordinates
  540.    wt: 3:   3 Multiplying Units and Numbers
  541.    wt: 3:   2 Equality and Units
  542.    wt: 3:   1 Addition and Subtraction with Units
  543.    wt: 3:   B Fractions and Two Term Ratios
  544.    wt: 3:   21 Reciprocals for Fractions and Wholes
  545.    wt: 3:   18 Efficient Ways to Multiply
  546.    wt: 3:   12 Fraction Comparison
  547.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  548.    wt: 3:   13 Subtraction with Additive Inverse
  549.    wt: 3:   3 Adding Movements with same direction
  550.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  551.    wt: 3:   23 Remainder Arithmetic Modulo 2
  552.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  553.    wt: 3:   21 Remainder Arithmetic Modulo 3
  554.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  555.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  556.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  557.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  558.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  559.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  560.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  561.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  562.    wt: 3:   18 video Count Factors given Prime Factorization
  563.    wt: 3:   17 Identify and Count Factors using Primes
  564.    wt: 3:   15 video Factors of 20 using Prime Factorization
  565.    wt: 3:   9 video Prime Factorization upto 19 squared
  566.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  567.    wt: 3:   4 video Prime Factorization Introduction
  568.    wt: 3:   3 video Primes and Composites from 9 times table
  569.    wt: 3:   1 video how Products are bigger than factor
  570.    wt: 3:   Long Division Backwards more
  571.    wt: 3:   Long Division Backward
  572.    wt: 3:   12 Why Long Division Works Take III
  573.    wt: 3:   11 Another Single Digit Divisor Example
  574.    wt: 3:   9 Why Long Division Works Take II
  575.    wt: 3:   1 Divsion Physical Examples
  576.    wt: 3:   5 Decimal Fraction Multiplication
  577.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  578.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  579.    wt: 3:   Video Power Notation in Decimal Expansion
  580.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  581.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  582.    wt: 3:   8 What skills and work habits to require
  583.    wt: 3:   6. Counting and adding units and mixed units
  584.    wt: 3:   5. How to add decimals C. Examples
  585.    wt: 3:   1. Explaining Addition Table
  586.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  587.    wt: 3:   Formula Evaluation how to show work
  588.    wt: 3:   013 Travel Time Tables
  589.    wt: 3:   011 Division of Time Intervals By Numbers
  590.    wt: 3:   010 Repeated Addition of Time Intervals
  591.    wt: 3:   2 Time and Date Matters in School
  592.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  593.    wt: 3:   Area Between Crossing Curves Lesson Take 1
  594.    wt: 3:   Area Between Curves Lesson Take 2
  595.    wt: 3:   Area Between Curves Lesson Take 1
  596.    wt: 3:   5 Area Under Curve Exercise
  597.    wt: 3:   3 Two Chain Rule Method Exercises
  598.    wt: 3:   A Related lessons in Volume 3
  599.    wt: 3:   4 Second derivative test exercise example
  600.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  601.    wt: 3:   34 Derivative of exponential function
  602.    wt: 3:   30Chain Rule A Proof
  603.    wt: 3:   29 Chain Rule Optional Reading
  604.    wt: 3:   23 Chain Rule in general
  605.    wt: 3:   22 Chain Rule for polynomials
  606.    wt: 3:   20 Chain Rule for Pulley Systems
  607.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  608.    wt: 3:   15 sine and cosine derivatives 3rd step
  609.    wt: 3:   13 sine and cosine derivatives 1st step
  610.    wt: 3:   8 Differentiation of polynomials
  611.    wt: 3:   3 Motivation for Limit Definition Take 2
  612.    wt: 3:   11 Limits at infinity Three Examples
  613.    wt: 3:   8 Four Animated Examples
  614.    wt: 3:   6 Continuity at a point
  615.    wt: 3:   5 Jumps and absence of unlimited error control
  616.    wt: 3:   3 Decimal insights for limits continuity convergence
  617.    wt: 3:   2 Algebraic codification
  618.    wt: 3:   Postscript One Sided and Intermediate Value Theorems
  619.    wt: 3:   .H2 Lipshitz Conditions Integration Calculus Reform
  620.    wt: 3:   .H1 First Fundamental Theorem of Calculus
  621.    wt: 3:   G.6 Bounded Derivatives implies Lipshitz Continuity
  622.    wt: 3:   G.4 Lipschitz Continuity implies EquiContinuity
  623.    wt: 3:   G.2 Differentiable Functions Mean Value Theorem
  624.    wt: 3:   F.3 Intermediate Value Theorem
  625.    wt: 3:   B3 Bolzano Weierstrass Theorem
  626.    wt: 3:   Chapter 23 Links To Trigonometry
  627.    wt: 3:   Chapter 21 Arrow Addition
  628.    wt: 3:   Chapter 15. Slope Approximation
  629.    wt: 3:   Chapter 12. Units and Slopes
  630.    wt: 3:   Chapter 10 Slopes and Units
  631.    wt: 3:   Chapter 9 About First Courses in Calculus
  632.    wt: 3:   Chapter 30 Truth Tables
  633.    wt: 3:   Chapter 24. Personal Investment and Pension EGS
  634.    wt: 3:   Chapter 23. Notation For Sums
  635.    wt: 3:   Chapter 18. Rules for Algebra
  636.    wt: 3:   Chapter 15. Solving Linear Equations
  637.    wt: 3:   Chapter 13. Second Reading Guide
  638.    wt: 3:   Chapter 12. Shorthand Usage Guide
  639.    wt: 3:   Chapter 11. Why Shorthand
  640.    wt: 3:   Chapter 8 Three Skills For Algebra
  641.    wt: 3:   Chapter 4 Longer Chains of Reason
  642.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  643.    wt: 3:   Postscript B Mathematics Education References
  644.    wt: 3:   Chapter 11 Elementary Instruction
  645.    wt: 3:   Chapter 7 Two Treatments of Geometry
  646.    wt: 3:   Postscript B More on Story Telling and Reason
  647.    wt: 3:   Chapter 24 Direct and Indirect Reason
  648.    wt: 3:   Chapter 23 Truth Tables
  649.    wt: 3:   Chapter 7 Longer Chains of Reason
  650.    wt: 3:   Chapter 6 Chains of Reason
  651.    wt: 3:   S Adding words to algebra
  652.    wt: 3:   N Mathematics Prepare for College Studies
  653.    wt: 3:   N Improving Marks on Tests and Finals
  654.    wt: 3:   I. Logic and language skills
  655.    wt: 3:   D. Check work a must with a caution
  656.    wt: 3:   Helping the Blind in Logic and Mathematics
  657.    wt: 3:   Road Safety Questions
  658.    wt: 2:   K LAMP Musings Science Education
  659.    wt: 2:   J LAMP Introduction Extrinsic Origins
  660.    wt: 2:   G LAMP Introduction Problem Solving Skills
  661.    wt: 2:   A Introduction Objectives
  662.    wt: 2:   Skills Chapter 5 Calculus
  663.    wt: 2:   Ramblings Extrinsic numbers theory
  664.    wt: 2:   Skills Chapter 2 Geometry
  665.    wt: 2:   Skills Chapter 1 Arithmetic
  666.    wt: 2:   Skills Chapter 0 Introduction
  667.    wt: 2:   11 pure mathematics
  668.    wt: 2:   10 statistics
  669.    wt: 2:   4 algebra
  670.    wt: 2:   What is POMME
  671.    wt: 2:   which way to go
  672.    wt: 2:   permissions for teachers
  673.    wt: 2:   About site lesson plans
  674.    wt: 2:   key notes and themes
  675.    wt: 2:   teacher certification
  676.    wt: 2:   learning takes time
  677.    wt: 2:   mathematics in context
  678.    wt: 2:   Education Reform Inconsistencies
  679.    wt: 2:   how letters appear
  680.    wt: 2:   teaching tips
  681.    wt: 2:   mathematics curriculum shifts
  682.    wt: 2:   Lessening Algebra Difficulties
  683.    wt: 2:   the trouble with algebra
  684.    wt: 2:   04 29 New Mathematics Curriculum
  685.    wt: 2:   04 25 when to stop or suspend mathemat
  686.    wt: 2:   formal or informal peer review
  687.    wt: 2:   Different Kinds of Reasoning in maths
  688.    wt: 2:   Motivation and Context Problem
  689.    wt: 2:   fairness and inductive principles for instruction
  690.    wt: 2:   words for mathematics instructor
  691.    wt: 2:   chapitre 12 00 les iles et division
  692.    wt: 2:   chapitre 04 09 Regles accidentelles
  693.    wt: 2:   chapitre 04 08 Limitations et benefices
  694.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  695.    wt: 2:   chapitre 04 06 engagements
  696.    wt: 2:   chapitre 04 05 Implication versus suggestion
  697.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  698.    wt: 2:   chapitre 04 00 Les regles d implication
  699.    wt: 2:   chapitre 01 00 Introduction
  700.    wt: 2:   problemes algebre et arithmetique
  701.    wt: 2:   4 Energy Power Heat09
  702.    wt: 2:   2 Energy Power Heat07
  703.    wt: 2:   1 Energy Power Heat06
  704.    wt: 2:   C Energy Power03
  705.    wt: 2:   A Energy Power01
  706.    wt: 2:   24 Standards For Skill Develoment
  707.    wt: 2:   22 Student Centered Highschool Mathematics
  708.    wt: 2:   10 Ends values for work study instruction
  709.    wt: 2:   8 The Effect of Negative Remarks
  710.    wt: 2:   3 Preparing for Science Studies
  711.    wt: 2:   2 Reading and Writing Skills
  712.    wt: 2:   Ages 12 to 14 Geometry
  713.    wt: 2:   Ages 12 to 14 Arithmetic
  714.    wt: 2:   Ages 10 to 12 Geometry
  715.    wt: 2:   Ages 10 to 12 Arithmetic
  716.    wt: 2:   Ages 3 plus to 4 plus
  717.    wt: 2:   19 Horizontal line rule and method
  718.    wt: 2:   18 Vertical Line Rule and Method
  719.    wt: 2:   12 Function Domain Recognition Exercises
  720.    wt: 2:   10 Interval Notation
  721.    wt: 2:   9 Set theory term relation possible origins
  722.    wt: 2:   8 Set view of relations and functions
  723.    wt: 2:   1 Geometric Introduction of Function Notation
  724.    wt: 2:   Introduction Reading Guide
  725.    wt: 2:   8 arcsin left inverse of sine Graph
  726.    wt: 2:   6 Graph of arccos function
  727.    wt: 2:   4 possible motivation for term arccos
  728.    wt: 2:   3 Left Inverse of cosine arccos definition
  729.    wt: 2:   8 Parallel Vectors
  730.    wt: 2:   4 Resultant of a Sum of Movements
  731.    wt: 2:   Vector and Complex Number Applet
  732.    wt: 2:   Triangle Angles Sum To 180 Degrees
  733.    wt: 2:   Straight Lines Instersection Solving Equations
  734.    wt: 2:   C Straight Lines Slope from Coordinates
  735.    wt: 2:   B Straight Line Slope Scaling Properties More
  736.    wt: 2:   12 Straight Lines Graphing mx plus b
  737.    wt: 2:   10 Straight Lines through Origin Equations More
  738.    wt: 2:   9 Straight Lines through Origin Equations
  739.    wt: 2:   5 Tangent Function Graph
  740.    wt: 2:   27 Logarithmic use of products of sines and cosines
  741.    wt: 2:   26 Formulas for products of sines and cosines
  742.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  743.    wt: 2:   17E Trig Formulas for dot and cross Products
  744.    wt: 2:   12 Graph of tangent function for one period
  745.    wt: 2:   9 Graphs of sine and cosine over one period
  746.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  747.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  748.    wt: 2:   9 The complex number valued trig function cis
  749.    wt: 2:   3 Addition Properties
  750.    wt: 2:   2 Complex Numbers made easier we hope
  751.    wt: 2:   1 Angle Measurement with Degrees
  752.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  753.    wt: 2:   3 Slope product for perpendicular lines
  754.    wt: 2:   2 point slope equation for a line
  755.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  756.    wt: 2:   PS A Kite Construction Methods
  757.    wt: 2:   17 Right Bisectors of Triangle Sides
  758.    wt: 2:   12 Side Angle Side Failure
  759.    wt: 2:   11 Triangle Construction Fails
  760.    wt: 2:   10 Dropping a perpendicular to line
  761.    wt: 2:   9 Construction of a right bisector
  762.    wt: 2:   8 Isoceles Triangles
  763.    wt: 2:   7 Angle Side Angle
  764.    wt: 2:   1 Initial Concepts and Terms
  765.    wt: 2:   Short Course on Euclidean Geometry
  766.    wt: 2:   A Measurement with Ruler Proper Use
  767.    wt: 2:   musings do not puiblish real numbers
  768.    wt: 2:   A Signed Number Arithmetic Review
  769.    wt: 2:   21 Addition of Multiples of a Single Vector
  770.    wt: 2:   12 Real Numbers Line Signed Coordinates
  771.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  772.    wt: 2:   2 Counting Digits in Decimal Multiplication
  773.    wt: 2:   C Three Decimal Subtraction Methods
  774.    wt: 2:   8 Column Multiplication Methods in General
  775.    wt: 2:   6 Column Methods for Decimal Multiplication
  776.    wt: 2:   5 Distributive Law for Whole Numbers
  777.    wt: 2:   3 Multiplicative Counting Skills Principles
  778.    wt: 2:   2 Combing Counts Addition Skills and Principles
  779.    wt: 2:   2 Algebraic View
  780.    wt: 2:   3 Product Axioms Two Forms
  781.    wt: 2:   1 Equivalent Computation Rules
  782.    wt: 2:   15 Real Number Division
  783.    wt: 2:   14 Real Number Multiplication
  784.    wt: 2:   11 Real Number Addition
  785.    wt: 2:   10 Real Number Lengths and Signs
  786.    wt: 2:   9 Coordinates for Regions in Space
  787.    wt: 2:   5 Rational Numbers More
  788.    wt: 2:   4 Rational Numbers
  789.    wt: 2:   3 Fractions
  790.    wt: 2:   2 GE II Comparison
  791.    wt: 2:   1 Essentially One Unknown
  792.    wt: 2:   3 Four Examples
  793.    wt: 2:   1 Proper Equal Sign Usage
  794.    wt: 2:   3 Two Examples
  795.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  796.    wt: 2:   10 Volume of Pyramid
  797.    wt: 2:   7 Compound Interest Formula Introduction
  798.    wt: 2:   5 Box Volume Formula Example
  799.    wt: 2:   1 Written work formats for developing and showing skill
  800.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  801.    wt: 2:   7 Cautious or Safe Set Construction
  802.    wt: 2:   3 Counting with Sets etc
  803.    wt: 2:   2 Venn Diagrams
  804.    wt: 2:   1 Three Skills For Algebra
  805.    wt: 2:   2 More and Less Than with Unlike Signs
  806.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  807.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  808.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  809.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  810.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  811.    wt: 2:   8 GCD from Euclidean Algorithm
  812.    wt: 2:   5 Common Divisors 60 45 via Prime
  813.    wt: 2:   4 LCM of 8 and 10 via Prime
  814.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  815.    wt: 2:   1 Least Common Multiples LCM Introduction
  816.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  817.    wt: 2:   2 Counting with Tables and Trees I
  818.    wt: 2:   4 signed coordinates for regions in space
  819.    wt: 2:   6 Simplification of Fractions with Units
  820.    wt: 2:   20 Dividing Fractions the Why
  821.    wt: 2:   9 Improper Fractions and Mixed Numbers
  822.    wt: 2:   5 Equivalent Fractions
  823.    wt: 2:   4 Fraction Multiplication
  824.    wt: 2:   2 Unit Fraction Multiplication
  825.    wt: 2:   D Remainders Modulo 11 Pair Rule
  826.    wt: 2:   12 Adding Integers More Examples
  827.    wt: 2:   10 Integer Multiplication Formulas
  828.    wt: 2:   8 Multiplication by Signed Numbers Integers
  829.    wt: 2:   7 Multiplication by Signs
  830.    wt: 2:   5 Zero Movement and Additive Inverses
  831.    wt: 2:   1 Integers as Coordinates
  832.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  833.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  834.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  835.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  836.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  837.    wt: 2:   5 Remainder Arithmetic Modulo 5
  838.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  839.    wt: 2:   1 Remainder Arithmetic Modulo 10
  840.    wt: 2:   20 Uniqueness of Prime Factorization
  841.    wt: 2:   19 video Prime Factorization Unique
  842.    wt: 2:   14 video Factors of 24 Take II
  843.    wt: 2:   13 video Factors of 24 using prime
  844.    wt: 2:   8 video Prime Factorization upto 19
  845.    wt: 2:   2 Prime and Composites less than 16
  846.    wt: 2:   Division with Counts and Length
  847.    wt: 2:   8 Correcting the Mistake
  848.    wt: 2:   2 Division with Single Digit Divisors
  849.    wt: 2:   D Decimal Multiplication Methods Derived
  850.    wt: 2:   C Counting Areas with Powers of Ten
  851.    wt: 2:   6 Multiplication Commutes Order Not Important
  852.    wt: 2:   1 Why 3 times 5 gives 15
  853.    wt: 2:   Subtraction with J Conversions Example
  854.    wt: 2:   Subtraction Another Video Lesson
  855.    wt: 2:   8 Subtraction with Units of Measure
  856.    wt: 2:   5 A Tip for Efficent Subtraction
  857.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  858.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  859.    wt: 2:   4. How to add with decimals B with conversions
  860.    wt: 2:   2 Decimal Counting Practices
  861.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  862.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  863.    wt: 2:   Expression Evaluation how to show work
  864.    wt: 2:   7 Addition of Time Intervals
  865.    wt: 2:   6 How long is a million seconds
  866.    wt: 2:   4 Mixing and Changing Units of Time
  867.    wt: 2:   3 Units and Lengths of Time
  868.    wt: 2:   1 Intro of Kids To Time Date Skills
  869.    wt: 2:   Example 2 volume of a cone
  870.    wt: 2:   Example 4 with x function of y
  871.    wt: 2:   Example 3
  872.    wt: 2:   Summary
  873.    wt: 2:   2 Indefinite Integrals Exercises
  874.    wt: 2:   1 Chain Rule in Reverse Integration Method
  875.    wt: 2:   3 Second derivative test
  876.    wt: 2:   31 Derivatives of inverse functions
  877.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  878.    wt: 2:   26 Chain Rule Recognising outer inner functions
  879.    wt: 2:   19 Chain Rule for linear functions
  880.    wt: 2:   18 Chain Rule Introduction
  881.    wt: 2:   17 Derivatives of quotients of sine and cosine
  882.    wt: 2:   14 sine and cosine derivatives 2nd step
  883.    wt: 2:   2 Motivation for Limit Definition Take 1
  884.    wt: 2:   9 Limits Continuity and Composition
  885.    wt: 2:   1 Numerical introduction
  886.    wt: 2:   G.3 Constant Difference Theorem Proof
  887.    wt: 2:   F.5a Equicontinuity Theorems
  888.    wt: 2:   F.1 What Functions are Continuous
  889.    wt: 2:   E2 Algebraic Properties of Limits
  890.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  891.    wt: 2:   C Triangle Inequalities
  892.    wt: 2:   A1. Introduction
  893.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  894.    wt: 2:   Chapter 11. Graphing Slope versus Position
  895.    wt: 2:   Chapter 8. Slope Interpretation
  896.    wt: 2:   Chapter 1.Introduction
  897.    wt: 2:   Appendix C. How to Read
  898.    wt: 2:   Appendix B. How To Learn
  899.    wt: 2:   Chapter 28 Occurrence Tables
  900.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  901.    wt: 2:   Chapter 21. Third Reading Guide
  902.    wt: 2:   Chapter 19. Functions and Sets
  903.    wt: 2:   Chapter 16. Painless Theorem Proving
  904.    wt: 2:   Solutions For Arithmetic Exercises
  905.    wt: 2:   Postscript A Three Remarks
  906.    wt: 2:   Chapter 12 Four Phases
  907.    wt: 2:   Chapter 10 Transition
  908.    wt: 2:   Chapter 1 Introduction
  909.    wt: 2:   Postscript A Story Telling
  910.    wt: 2:   Chapter 21 Occurrence Tables
  911.    wt: 2:   Chapter 18 Sense and Knowledge
  912.    wt: 2:   Chapter 10 Responsibility
  913.    wt: 2:   Chapter 1 Introduction
  914.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  915.    wt: 2:   L Skills with take home value
  916.    wt: 2:   H Jigsaw puzzles and problem solving
  917.    wt: 2:   G. Written work formats for developing and showing skill
  918.    wt: 2:   F. The student teacher tutor feedback loop
  919.    wt: 2:   A. Skill has to be seen to believed
  920.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  921.    wt: 2:   Which Way To Go
  922.    wt: 1:   Skills Chapter 4 Logic
  923.    wt: 1:   2 arithmetic with signed numbers
  924.    wt: 1:   1 arithmetic with unsigned numbers
  925.    wt: 1:   why bother
  926.    wt: 1:   three goals to set for students
  927.    wt: 1:   activities for students
  928.    wt: 1:   links Education Resources online
  929.    wt: 1:   site eurekas
  930.    wt: 1:   modern education
  931.    wt: 1:   What to Tell Students
  932.    wt: 1:   02 21 words for teachers
  933.    wt: 1:   Theory of Knowledge
  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 02 Deuxieme enigme
  938.    wt: 1:   chapitre 04 01 Premiere enigme
  939.    wt: 1:   deux definitions pour variable
  940.    wt: 1:   E Energy Power05
  941.    wt: 1:   D Energy Power04
  942.    wt: 1:   B Energy Power02
  943.    wt: 1:   1 Like resistors in series
  944.    wt: 1:   F Unlike Resistors in Series
  945.    wt: 1:   E Kirchoffs Second Law
  946.    wt: 1:   D Kirchoff First Law
  947.    wt: 1:   C Electromotive force conventional current02
  948.    wt: 1:   B Electromotive force conventional current01
  949.    wt: 1:   A Circuit Elements
  950.    wt: 1:   Home Tutoring and Home Schooling
  951.    wt: 1:   15 Counting For Parents
  952.    wt: 1:   7 Student Motivation
  953.    wt: 1:   1 Speaking Skills
  954.    wt: 1:   Ages 9 to 10
  955.    wt: 1:   Ages 8 to 9
  956.    wt: 1:   Ages 7 to 8
  957.    wt: 1:   Ages 6 to 7
  958.    wt: 1:   Ages 4 plus to 5 plus
  959.    wt: 1:   26 Function definitions done and coming
  960.    wt: 1:   23 Inverse Functions
  961.    wt: 1:   7 Functions with finite domains
  962.    wt: 1:   2 Column Multiplication Method
  963.    wt: 1:   7 arcsin left inverse of sine Definition
  964.    wt: 1:   15 Dot and Cross Product
  965.    wt: 1:   6 Vectors with Coordinates
  966.    wt: 1:   2 Signed Coordinates
  967.    wt: 1:   1 Unsigned Coordinates
  968.    wt: 1:   Straight Lines Intersection of
  969.    wt: 1:   4 Tangent Function Properties
  970.    wt: 1:   1 Straight Lines Slope Concept
  971.    wt: 1:   28 Expressing products of sines cosines as sums
  972.    wt: 1:   17F Law of cosines
  973.    wt: 1:   8 period of tangent function
  974.    wt: 1:   7 period of sine and cosine
  975.    wt: 1:   1 Unit Points Reflections Rotations
  976.    wt: 1:   Unit Circle Development of Trigonometry
  977.    wt: 1:   19 N th Roots of Unity
  978.    wt: 1:   18 Sixth Roots of Unity
  979.    wt: 1:   17 Cube Roots of unity
  980.    wt: 1:   14 Law of cosines
  981.    wt: 1:   8 Unit Circle Development of Trigonometry
  982.    wt: 1:   4 Multiplication Properties
  983.    wt: 1:   7 Trignometric Ratios Unit Circle
  984.    wt: 1:   Four Simple Exercises
  985.    wt: 1:   8 Mid Point Formula
  986.    wt: 1:   4 Equations for lines three forms
  987.    wt: 1:   7 Complex Numbers Appetizer
  988.    wt: 1:   5 Side Angle Side
  989.    wt: 1:   2 Correspondence between Triangles
  990.    wt: 1:   1 Length Measurement
  991.    wt: 1:   About Folder Contents
  992.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  993.    wt: 1:   22 Multiplication of Signed Numbers
  994.    wt: 1:   E Long Division Methods more
  995.    wt: 1:   D Long Division Methods
  996.    wt: 1:   6 Unsigned Real Numbers
  997.    wt: 1:   5 Independent versus Dependent Variables
  998.    wt: 1:   4 Changing Letters
  999.    wt: 1:   More Exercises
  1000.    wt: 1:   Simple Exercises
  1001.    wt: 1:   1 GE Substitution four examples
  1002.    wt: 1:   2 Three Examples
  1003.    wt: 1:   10 One Example
  1004.    wt: 1:   9 Three Examples
  1005.    wt: 1:   8 One Example
  1006.    wt: 1:   7 Two Examples
  1007.    wt: 1:   6 Three Examples
  1008.    wt: 1:   5 Three Examples
  1009.    wt: 1:   4 Two Examples
  1010.    wt: 1:   2 Three Examples
  1011.    wt: 1:   6 Power Set Notation
  1012.    wt: 1:   5 Product Builder Notation
  1013.    wt: 1:   4 Subset Builder Notation
  1014.    wt: 1:   About Folder Contents
  1015.    wt: 1:   5 Square Roots with primes more still
  1016.    wt: 1:   4 Square Roots with primes more
  1017.    wt: 1:   2 Square Roots with Prime
  1018.    wt: 1:   12 GCD 2700 288 via Prime
  1019.    wt: 1:   4 Counting with Trees Product Rule Take I
  1020.    wt: 1:   1 Counting and Counting Methods I
  1021.    wt: 1:   9 subtracting signed numbers
  1022.    wt: 1:   8 multiplying signed numbers
  1023.    wt: 1:   6 adding signed numbers
  1024.    wt: 1:   5 lengths and signs of numbers
  1025.    wt: 1:   7 Converting or Changing Units
  1026.    wt: 1:   4 Fractions with Units
  1027.    wt: 1:   D Three Term Ratios
  1028.    wt: 1:   22 Complex Compound Fractions
  1029.    wt: 1:   19 Dividing Fractions How TO
  1030.    wt: 1:   B Integer Long Division Multiple Choices
  1031.    wt: 1:   9 Multiplying Integers
  1032.    wt: 1:   4 Adding Movements wiht opposite directions
  1033.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  1034.    wt: 1:   16 video Factors of 980 using prime
  1035.    wt: 1:   12 LCD GCD and LCM using Primes
  1036.    wt: 1:   11 Efficient Square Rule Use
  1037.    wt: 1:   5 Long Division Include Zeroes or not
  1038.    wt: 1:   4 Division with 2 Digit Divsors
  1039.    wt: 1:   4 Two and Three Digit Multipliers
  1040.    wt: 1:   3 More One Digit Multipliers
  1041.    wt: 1:   9 22 Minute Subtraction Review Video
  1042.    wt: 1:   The 20 Times Table
  1043.    wt: 1:   About folder contents
  1044.    wt: 1:   5 Conversion Arithmetic
  1045.    wt: 1:   Volume of Solid by Cross Sections Lesson
  1046.    wt: 1:   Example 2
  1047.    wt: 1:   Example 1
  1048.    wt: 1:   2 Second derivative test prequel
  1049.    wt: 1:   21 Chain Rule for powers
  1050.    wt: 1:   12 Quotient rule examples
  1051.    wt: 1:   10 Power rule for negative integers
  1052.    wt: 1:   9 Reciprocal rule
  1053.    wt: 1:   10 Three one sided limits with infinite values
  1054.    wt: 1:   4 Numerical properties
  1055.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  1056.    wt: 1:   F.5b Extreme Value Theorem
  1057.    wt: 1:   F.2 Closed Range Theorem
  1058.    wt: 1:   E1 Error Control Inequalities
  1059.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  1060.    wt: 1:   Chapter 22 Complex Numbers
  1061.    wt: 1:   Chapter 5. Slope Sign Tests
  1062.    wt: 1:   Postscript More on Better Performance
  1063.    wt: 1:   Postscript For Better Performance
  1064.    wt: 1:   Chapter 9 The Two Ends
  1065.    wt: 1:   Chapter 8 Modern Instruction
  1066.    wt: 1:   Chapter 5 Four References
  1067.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  1068.    wt: 1:   Chapter 15 Objective Processes
  1069.    wt: 1:   Chapter 5 Deception
  1070.    wt: 1:   Chapter 2 Skill Development
  1071.    wt: 1:   Three Remarks
  1072.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  1073.    wt: 1:   M Words to extend arithmetic
  1074.    wt: 1:   J. More on written work and showing skill
  1075.    wt: 1:   E. When and how to correct errors
  1076.    wt: 1:   C. Domino effect of being careful
  1077.    wt: 1:   How to Build Skills and Confidence
  1078.    wt: 1:   Implementation Notes

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  1.    wt: 9:   Skills Chapter 4 Logic
  2.    wt: 9:   9 combinatorics probability sets
  3.    wt: 9:   6 polynomials etc
  4.    wt: 9:   Teach the teachers plus goals
  5.    wt: 9:   permissions for teachers
  6.    wt: 9:   Mathematics Education Professors
  7.    wt: 9:   learning takes time
  8.    wt: 9:   mathematics in context
  9.    wt: 9:   geometric implications for algebra
  10.    wt: 9:   the trouble with algebra
  11.    wt: 9:   05 13 OldSiteEntrancePage
  12.    wt: 9:   02 20 mathematics education references
  13.    wt: 9:   three aims for mathematics students
  14.    wt: 9:   Operational Viewpoint to Value
  15.    wt: 9:   mathematics instruction in general
  16.    wt: 9:   Different Kinds of Reasoning in maths
  17.    wt: 9:   three kinds of reason in mathematics
  18.    wt: 9:   Four ways to improve education reform
  19.    wt: 9:   need for a mixed mathematics curriculum
  20.    wt: 9:   Leaner mathematics curriculum
  21.    wt: 9:   Prequel In For A Penny In For A Pound
  22.    wt: 9:   chapitre 07 00 Des chaines plus longues de la raison
  23.    wt: 9:   chapitre 06 00 Chaines de la raison
  24.    wt: 9:   chapitre 03 A Propos Des Prochains Chapitre
  25.    wt: 9:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  26.    wt: 9:   Ages 12 to 14 Geometry
  27.    wt: 9:   Ages 12 to 14 Arithmetic
  28.    wt: 9:   Ages 10 to 12 Geometry
  29.    wt: 9:   Ages 10 to 12 Arithmetic
  30.    wt: 9:   9 Formulas for Real Exponents with Logarithms
  31.    wt: 9:   7 Formulas for Roots with Logarithms Derivation
  32.    wt: 9:   6 Formulas for Even and Odd Roots with Logarithms
  33.    wt: 9:   2 Square Root Simplification a prequel
  34.    wt: 9:   1 Polynomials Distributive Law
  35.    wt: 9:   14 secant function Definition Graph and Inverse
  36.    wt: 9:   12 motivation for term arctan
  37.    wt: 9:   10 arctan left inverse of tangent Definition
  38.    wt: 9:   9 motivation for name arcsin
  39.    wt: 9:   8 Parallel Vectors
  40.    wt: 9:   4 Resultant of a Sum of Movements
  41.    wt: 9:   Vector and Complex Number Applet
  42.    wt: 9:   17 tangent function angle sum formulas
  43.    wt: 9:   30 unit circle calculation of six trigonometric functions
  44.    wt: 9:   25 tangent double angle formula Slope connection
  45.    wt: 9:   20 sine and cosine Double Angle Formulas
  46.    wt: 9:   17G Pythagorean Theorem Converse
  47.    wt: 9:   17C sine and cosine double triple angle formulas
  48.    wt: 9:   17A The complex number valued trig function cis
  49.    wt: 9:   11 tangent function undefined when terminal side vertical
  50.    wt: 9:   3 sines and cosines for reference angle 90 degrees
  51.    wt: 9:   2 Quadrant I reference Angles
  52.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  53.    wt: 9:   13 Trig Formulas for dot and cross Products
  54.    wt: 9:   12 cis formulas for sine cosines and tangent
  55.    wt: 9:   10 sine cosine Angle Sum Formulas via cis
  56.    wt: 9:   7 Second Way to Calculate Products
  57.    wt: 9:   1 Rectangular Polar Coordinates Review
  58.    wt: 9:   1 Angle Measurement with Degrees
  59.    wt: 9:   Four Simple Exercises
  60.    wt: 9:   8 Mid Point Formula
  61.    wt: 9:   4 Equations for lines three forms
  62.    wt: 9:   4 Side Side Side
  63.    wt: 9:   A Modular and Remainder Arithmetic
  64.    wt: 9:   26 More Less Greater Than Comparison
  65.    wt: 9:   23 Distributive Law Two Derivations
  66.    wt: 9:   13 Arrows and Vectors in a Plane
  67.    wt: 9:   2 Linear Equation Literal Solution
  68.    wt: 9:   1 Changing Calculations
  69.    wt: 9:   3 Product Axioms Two Forms
  70.    wt: 9:   1 Equivalent Computation Rules
  71.    wt: 9:   8 Coordinates for Maps and Planes
  72.    wt: 9:   2 Computation Rules Evaluation
  73.    wt: 9:   1 Formulas Dependence and Function Notation
  74.    wt: 9:   2 Three Examples
  75.    wt: 9:   Using Letters for Physical Quantities
  76.    wt: 9:   Formula Usage Show Work Format
  77.    wt: 9:   12 Cone Cylinder Sphere Lesson Idea
  78.    wt: 9:   10 Volume of Pyramid
  79.    wt: 9:   7 Compound Interest Formula Introduction
  80.    wt: 9:   5 Box Volume Formula Example
  81.    wt: 9:   1 Written work formats for developing and showing skill
  82.    wt: 9:   4 Greater More Less Than Signs in General
  83.    wt: 9:   17 GCD LCM of 85 and 60 via Prime
  84.    wt: 9:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  85.    wt: 9:   13 GCD from given Prime Factorization
  86.    wt: 9:   7 GCD and LCM from prime factorization
  87.    wt: 9:   LCM 60 45 Avoid List Method Use Prime
  88.    wt: 9:   1 Least Common Multiples LCM Introduction
  89.    wt: 9:   5 Counting with Tables Trees Product Rule Take II
  90.    wt: 9:   2 Counting with Tables and Trees I
  91.    wt: 9:   3 Multiplying Units and Numbers
  92.    wt: 9:   2 Equality and Units
  93.    wt: 9:   1 Addition and Subtraction with Units
  94.    wt: 9:   B Fractions and Two Term Ratios
  95.    wt: 9:   21 Reciprocals for Fractions and Wholes
  96.    wt: 9:   18 Efficient Ways to Multiply
  97.    wt: 9:   12 Fraction Comparison
  98.    wt: 9:   A Associative Law Theorectical Note
  99.    wt: 9:   20 Uniqueness of Prime Factorization
  100.    wt: 9:   16 video Factors of 980 using prime
  101.    wt: 9:   2 Prime and Composites less than 16
  102.    wt: 9:   8 Correcting the Mistake
  103.    wt: 9:   2 Division with Single Digit Divisors
  104.    wt: 9:   4 Two and Three Digit Multipliers
  105.    wt: 9:   10 Names for Big Numbers and Powers of Ten Expansion
  106.    wt: 9:   016 Numbering Occidental Calendar Days
  107.    wt: 9:   9 Comparison and Subtraction of Time Intervals
  108.    wt: 9:   Volume of Solid by Cross Sections Lesson
  109.    wt: 9:   Summary
  110.    wt: 9:   34 Derivative of exponential function
  111.    wt: 9:   31 Derivatives of inverse functions
  112.    wt: 9:   30Chain Rule A Proof
  113.    wt: 9:   29 Chain Rule Optional Reading
  114.    wt: 9:   23 Chain Rule in general
  115.    wt: 9:   20 Chain Rule for Pulley Systems
  116.    wt: 9:   16 Derivatives of reciprocals of sine and cosine
  117.    wt: 9:   15 sine and cosine derivatives 3rd step
  118.    wt: 9:   13 sine and cosine derivatives 1st step
  119.    wt: 9:   8 Differentiation of polynomials
  120.    wt: 9:   3 Motivation for Limit Definition Take 2
  121.    wt: 9:   12 Limits with Parameters and Derivatives Take I
  122.    wt: 9:   B3 Bolzano Weierstrass Theorem
  123.    wt: 9:   PostScript For and Against Decimal Perspectives
  124.    wt: 9:   Chapter 22 Complex Numbers
  125.    wt: 9:   Chapter 5. Slope Sign Tests
  126.    wt: 9:   Chapter 14. Forward and Backward Use of a Formula
  127.    wt: 9:   Chapter 23 Truth Tables
  128.    wt: 9:   Chapter 20 Shorthand Symbols as Pronouns
  129.    wt: 9:   Chapter 19 What is in chapters 20 to 24
  130.    wt: 9:   Chapter 11 Accidental Patterns
  131.    wt: 9:   Chapter 9 What is in Chapters 10 to 18
  132.    wt: 9:   Chapter 8 Change of Language
  133.    wt: 9:   V Reasons and Motivations for Logic and Mathematics
  134.    wt: 8:   11 pure mathematics
  135.    wt: 8:   10 statistics
  136.    wt: 8:   4 algebra
  137.    wt: 8:   What is POMME
  138.    wt: 8:   which way to go
  139.    wt: 8:   About site lesson plans
  140.    wt: 8:   key notes and themes
  141.    wt: 8:   teacher certification
  142.    wt: 8:   modern education
  143.    wt: 8:   how letters appear
  144.    wt: 8:   teaching tips
  145.    wt: 8:   mathematics curriculum shifts
  146.    wt: 8:   Lessening Algebra Difficulties
  147.    wt: 8:   04 29 New Mathematics Curriculum
  148.    wt: 8:   04 25 when to stop or suspend mathemat
  149.    wt: 8:   formal or informal peer review
  150.    wt: 8:   Theory of Knowledge
  151.    wt: 8:   Motivation and Context Problem
  152.    wt: 8:   fairness and inductive principles for instruction
  153.    wt: 8:   words for mathematics instructor
  154.    wt: 8:   chapitre 04 10 Etapes pour une meilleur raison
  155.    wt: 8:   Ages 9 to 10
  156.    wt: 8:   Ages 8 to 9
  157.    wt: 8:   Ages 7 to 8
  158.    wt: 8:   Ages 6 to 7
  159.    wt: 8:   Ages 4 plus to 5 plus
  160.    wt: 8:   8 arcsin left inverse of sine Graph
  161.    wt: 8:   6 Graph of arccos function
  162.    wt: 8:   4 possible motivation for term arccos
  163.    wt: 8:   3 Left Inverse of cosine arccos definition
  164.    wt: 8:   15 Dot and Cross Product
  165.    wt: 8:   6 Vectors with Coordinates
  166.    wt: 8:   2 Signed Coordinates
  167.    wt: 8:   1 Unsigned Coordinates
  168.    wt: 8:   27 Logarithmic use of products of sines and cosines
  169.    wt: 8:   26 Formulas for products of sines and cosines
  170.    wt: 8:   23 sine and cosine of 180 plus 22.5 degrees
  171.    wt: 8:   17E Trig Formulas for dot and cross Products
  172.    wt: 8:   12 Graph of tangent function for one period
  173.    wt: 8:   9 Graphs of sine and cosine over one period
  174.    wt: 8:   5 sines and cosines for reference angle 60 degrees
  175.    wt: 8:   4 sines and cosines for reference angle 45 degrees
  176.    wt: 8:   21 Logarithms Powers and Exponentials
  177.    wt: 8:   16 References and Originality Question
  178.    wt: 8:   15 Pythagorean Theorem Converse
  179.    wt: 8:   11 sine and cosine double triple angle formulas
  180.    wt: 8:   3 Addition Properties
  181.    wt: 8:   Appetizer A Complex Number Applet
  182.    wt: 8:   7 Trignometric Ratios Unit Circle
  183.    wt: 8:   12 Links Lessons elsewhere
  184.    wt: 8:   18 Geometrically Why Vector Addition Commutes
  185.    wt: 8:   14 Vector Head to Tail Sums and Resultants
  186.    wt: 8:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  187.    wt: 8:   8 Division and Mulplication of Compound Fractions
  188.    wt: 8:   3 Location of Point in Decimal Multiplication
  189.    wt: 8:   A Decimal Addition Columm Methods
  190.    wt: 8:   7 Decimals Multiplication Methods Examples
  191.    wt: 8:   4 Commutative Law Groups Counting Form
  192.    wt: 8:   3 Multiplicative Counting Skills Principles
  193.    wt: 8:   9 Sets in Probability and Statistics
  194.    wt: 8:   4 A Brief Story of numbers and algebra
  195.    wt: 8:   arithmetic videos Real Player Format
  196.    wt: 8:   2 More and Less Than with Unlike Signs
  197.    wt: 8:   5 Square Roots with primes more still
  198.    wt: 8:   4 Square Roots with primes more
  199.    wt: 8:   2 Square Roots with Prime
  200.    wt: 8:   16 GCD and LCM of 650 225 via Prime
  201.    wt: 8:   14 GCD of 650 110 via Primes LCM via Product Rule
  202.    wt: 8:   11 GCD 2700 288 via Euclid Algorithm
  203.    wt: 8:   10 Euclid Algorithm with 129 125 and with 45 14
  204.    wt: 8:   8 GCD from Euclidean Algorithm
  205.    wt: 8:   5 Common Divisors 60 45 via Prime
  206.    wt: 8:   4 LCM of 8 and 10 via Prime
  207.    wt: 8:   4 Counting with Trees Product Rule Take I
  208.    wt: 8:   1 Counting and Counting Methods I
  209.    wt: 8:   11 What are real lengths and numbers
  210.    wt: 8:   6 Simplification of Fractions with Units
  211.    wt: 8:   20 Dividing Fractions the Why
  212.    wt: 8:   9 Improper Fractions and Mixed Numbers
  213.    wt: 8:   5 Equivalent Fractions
  214.    wt: 8:   4 Fraction Multiplication
  215.    wt: 8:   2 Unit Fraction Multiplication
  216.    wt: 8:   12 LCD GCD and LCM using Primes
  217.    wt: 8:   11 Efficient Square Rule Use
  218.    wt: 8:   5 Long Division Include Zeroes or not
  219.    wt: 8:   4 Division with 2 Digit Divsors
  220.    wt: 8:   B Powers of Ten
  221.    wt: 8:   2 One Digit Multipliers
  222.    wt: 8:   8 Review Lesson 1 2 4 and 6 All in One
  223.    wt: 8:   1 Place Value in Three Digit Whole Numbers
  224.    wt: 8:   Quick history of numbers and algebra
  225.    wt: 8:   Practical Methods Ends and Values for Arithmetic
  226.    wt: 8:   015 School and work day counting tables
  227.    wt: 8:   014 Counting Days with Calendars
  228.    wt: 8:   012 Division of Time Intervals by Time Intervals
  229.    wt: 8:   8 Addition of Time Intervals via subtotaling
  230.    wt: 8:   A Related Material in Volume 3
  231.    wt: 8:   27 Chain Rule sinusoidal outer inner functions EGS
  232.    wt: 8:   26 Chain Rule Recognising outer inner functions
  233.    wt: 8:   19 Chain Rule for linear functions
  234.    wt: 8:   18 Chain Rule Introduction
  235.    wt: 8:   17 Derivatives of quotients of sine and cosine
  236.    wt: 8:   14 sine and cosine derivatives 2nd step
  237.    wt: 8:   12 Quotient rule examples
  238.    wt: 8:   2 Motivation for Limit Definition Take 1
  239.    wt: 8:   11 Limits at infinity Three Examples
  240.    wt: 8:   8 Four Animated Examples
  241.    wt: 8:   6 Continuity at a point
  242.    wt: 8:   5 Jumps and absence of unlimited error control
  243.    wt: 8:   3 Decimal insights for limits continuity convergence
  244.    wt: 8:   2 Algebraic codification
  245.    wt: 8:   Postscript One Sided and Intermediate Value Theorems
  246.    wt: 8:   .H2 Lipshitz Conditions Integration Calculus Reform
  247.    wt: 8:   .H1 First Fundamental Theorem of Calculus
  248.    wt: 8:   G.6 Bounded Derivatives implies Lipshitz Continuity
  249.    wt: 8:   G.4 Lipschitz Continuity implies EquiContinuity
  250.    wt: 8:   G.2 Differentiable Functions Mean Value Theorem
  251.    wt: 8:   F.5a Equicontinuity Theorems
  252.    wt: 8:   F.3 Intermediate Value Theorem
  253.    wt: 8:   Foreword
  254.    wt: 8:   Appendix E. How To Study Mathematics and Why
  255.    wt: 8:   Chapter 29 Contrapositive and Vacuously True Implications
  256.    wt: 8:   Chapter 2 Implication Rules Forwards and Backwards
  257.    wt: 8:   Chapter 2 For and Against Mathematics
  258.    wt: 8:   Postscript B More on Story Telling and Reason
  259.    wt: 8:   Chapter 24 Direct and Indirect Reason
  260.    wt: 8:   Chapter 7 Longer Chains of Reason
  261.    wt: 8:   Chapter 6 Chains of Reason
  262.    wt: 8:   Multiple Ways to Improve Mathematics Skill Development
  263.    wt: 8:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  264.    wt: 7:   2 arithmetic with signed numbers
  265.    wt: 7:   1 arithmetic with unsigned numbers
  266.    wt: 7:   why bother
  267.    wt: 7:   three goals to set for students
  268.    wt: 7:   activities for students
  269.    wt: 7:   links Education Resources online
  270.    wt: 7:   site eurekas
  271.    wt: 7:   Postscript 2007 01 10
  272.    wt: 7:   What to Tell Students
  273.    wt: 7:   02 21 words for teachers
  274.    wt: 7:   cultivating intelligence
  275.    wt: 7:   How to be a better instructor
  276.    wt: 7:   chapitre 07 01 principle D induction mathematique
  277.    wt: 7:   chapitre 04 04 Parlons de la logique
  278.    wt: 7:   chapitre 02 00 La Communication des idees
  279.    wt: 7:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  280.    wt: 7:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  281.    wt: 7:   13 Addition and Addition Tables
  282.    wt: 7:   5 Patience Please for Yourself and Your Charges
  283.    wt: 7:   25 Absolute Value greatest integer and saw tooth functions
  284.    wt: 7:   17 Function maxima minima and their location
  285.    wt: 7:   4 Function notation in and beyond mathematics
  286.    wt: 7:   3 Formula or function graphing exercise
  287.    wt: 7:   7 arcsin left inverse of sine Definition
  288.    wt: 7:   11 Component Method
  289.    wt: 7:   28 Expressing products of sines cosines as sums
  290.    wt: 7:   17F Law of cosines
  291.    wt: 7:   8 period of tangent function
  292.    wt: 7:   7 period of sine and cosine
  293.    wt: 7:   1 Unit Points Reflections Rotations
  294.    wt: 7:   Unit Circle Development of Trigonometry
  295.    wt: 7:   9 The complex number valued trig function cis
  296.    wt: 7:   2 Complex Numbers made easier we hope
  297.    wt: 7:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  298.    wt: 7:   17 Arrows Rotate to Reverse with Length Unchanged
  299.    wt: 7:   16 Collinear Horizontal Arrows Vectors
  300.    wt: 7:   11 Signed Number Addition and Addition Properties
  301.    wt: 7:   9 Division with Digits after Decimal Point
  302.    wt: 7:   7 Arithmetic with Infinite Decimal Expansions
  303.    wt: 7:   5 Fractions with Infinite Decimal Expansions
  304.    wt: 7:   4 Location of Point in Decimal Addition
  305.    wt: 7:   1 Fractions with Finite Decimal Expansions
  306.    wt: 7:   C Three Decimal Subtraction Methods
  307.    wt: 7:   8 Column Multiplication Methods in General
  308.    wt: 7:   6 Column Methods for Decimal Multiplication
  309.    wt: 7:   5 Distributive Law for Whole Numbers
  310.    wt: 7:   2 Combing Counts Addition Skills and Principles
  311.    wt: 7:   16 Real Numbers Comparison
  312.    wt: 7:   13 Real Number Subtraction
  313.    wt: 7:   12 Real Number Additive Inverses or Negatives
  314.    wt: 7:   7 Real Numbers as Line Cordinates
  315.    wt: 7:   1 Whole and Natural Numbers
  316.    wt: 7:   5 Independent versus Dependent Variables
  317.    wt: 7:   4 Changing Letters
  318.    wt: 7:   More Exercises
  319.    wt: 7:   Simple Exercises
  320.    wt: 7:   11 Volume of Sphere
  321.    wt: 7:   9 Volume of Cone
  322.    wt: 7:   6 Three Notions of What is a Variable
  323.    wt: 7:   5 Talking about Numbers and Quantities
  324.    wt: 7:   2 What is a Variable
  325.    wt: 7:   12 GCD 2700 288 via Prime
  326.    wt: 7:   7 negative and additive inverse
  327.    wt: 7:   2 signed and unsigned numbers as coordinates
  328.    wt: 7:   7 Converting or Changing Units
  329.    wt: 7:   4 Fractions with Units
  330.    wt: 7:   D Three Term Ratios
  331.    wt: 7:   22 Complex Compound Fractions
  332.    wt: 7:   19 Dividing Fractions How TO
  333.    wt: 7:   13 Subtraction with Additive Inverse
  334.    wt: 7:   11 Adding Integers Formulas and Examples
  335.    wt: 7:   6 Multiplication by Natural Numbers
  336.    wt: 7:   3 Adding Movements with same direction
  337.    wt: 7:   Exact Arithmetic Wholes and Fractions
  338.    wt: 7:   Formula Evaluation how to show work
  339.    wt: 7:   Expression Evaluation how to show work
  340.    wt: 7:   The 12 Times Table Visually
  341.    wt: 7:   013 Travel Time Tables
  342.    wt: 7:   011 Division of Time Intervals By Numbers
  343.    wt: 7:   010 Repeated Addition of Time Intervals
  344.    wt: 7:   2 Time and Date Matters in School
  345.    wt: 7:   4 Definite Integrals Evaluation Exercises
  346.    wt: 7:   A Related lessons in Volume 3
  347.    wt: 7:   4 Second derivative test exercise example
  348.    wt: 7:   1 Two cubic sketching exercises with 1st derivative
  349.    wt: 7:   21 Chain Rule for powers
  350.    wt: 7:   10 Power rule for negative integers
  351.    wt: 7:   9 Reciprocal rule
  352.    wt: 7:   5 Product Rule
  353.    wt: 7:   9 Limits Continuity and Composition
  354.    wt: 7:   4 Numerical properties
  355.    wt: 7:   1 Numerical introduction
  356.    wt: 7:   G.3 Constant Difference Theorem Proof
  357.    wt: 7:   F.1 What Functions are Continuous
  358.    wt: 7:   E2 Algebraic Properties of Limits
  359.    wt: 7:   D1 Sets and Sequences GLBs and LGBs
  360.    wt: 7:   C Triangle Inequalities
  361.    wt: 7:   A1. Introduction
  362.    wt: 7:   Chapter 31 Direct and Indirect Reason
  363.    wt: 7:   Chapter 26 What is in chapters 27 to 31
  364.    wt: 7:   Chapter 25. Mathematical Induction Examples
  365.    wt: 7:   Chapter 25. Mathematical Induction Examples
  366.    wt: 7:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  367.    wt: 7:   Postscript Unifying Theme A Fourth Skill For Algebra
  368.    wt: 7:   Chapter 10 Describing and Changing Calculations
  369.    wt: 7:   Chapter 5 Islands and Divisions of Knowledge
  370.    wt: 7:   Chapter 3 Chains of Reason
  371.    wt: 7:   Chapter 6 Rule Based Reason in Mathematics
  372.    wt: 7:   Chapter 3 Algebra Difficulties
  373.    wt: 7:   Postscript A Story Telling
  374.    wt: 7:   Chapter 21 Occurrence Tables
  375.    wt: 7:   Chapter 18 Sense and Knowledge
  376.    wt: 7:   Chapter 10 Responsibility
  377.    wt: 7:   Chapter 1 Introduction
  378.    wt: 7:   R Why Learn Mathematics Skills
  379.    wt: 7:   P Exact Arithmetic With Whole Numbers and Fractions
  380.    wt: 7:   O On Learning Mathematics and Science
  381.    wt: 7:   Helping the Blind in Logic and Mathematics
  382.    wt: 7:   Montreal Basic and Advanced Mathematics Tutoring
  383.    wt: 6:   website reviews
  384.    wt: 6:   site origins
  385.    wt: 6:   three difficulties
  386.    wt: 6:   chapitre 12 00 les iles et division
  387.    wt: 6:   chapitre 04 09 Regles accidentelles
  388.    wt: 6:   chapitre 04 08 Limitations et benefices
  389.    wt: 6:   chapitre 04 07 RepetablesEtReproductibles
  390.    wt: 6:   chapitre 04 06 engagements
  391.    wt: 6:   chapitre 04 05 Implication versus suggestion
  392.    wt: 6:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  393.    wt: 6:   chapitre 04 00 Les regles d implication
  394.    wt: 6:   chapitre 01 00 Introduction
  395.    wt: 6:   Trois Notions qui menent a algebre
  396.    wt: 6:   A Wire Resistance Qualitative01
  397.    wt: 6:   27 Graduated Correction and Penalties for Young Offenders
  398.    wt: 6:   25 Mathematics Education Leaving A Good Impression
  399.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take IV
  400.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take III
  401.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take II
  402.    wt: 6:   16 Secondary Mathematics Tips
  403.    wt: 6:   6 Discipline Who is in Charge Conserving Authority
  404.    wt: 6:   22 Square Root function graphically
  405.    wt: 6:   15 Sign analysis of functions
  406.    wt: 6:   13 From one to one to many to one
  407.    wt: 6:   11 Function Domain Range Source and Targets
  408.    wt: 6:   6 Set Existence Formation and Notation
  409.    wt: 6:   2 Column Multiplication Method
  410.    wt: 6:   2 cosine function more properties
  411.    wt: 6:   1 cosine function properties
  412.    wt: 6:   19 N th Roots of Unity
  413.    wt: 6:   18 Sixth Roots of Unity
  414.    wt: 6:   17 Cube Roots of unity
  415.    wt: 6:   14 Law of cosines
  416.    wt: 6:   8 Unit Circle Development of Trigonometry
  417.    wt: 6:   4 Multiplication Properties
  418.    wt: 6:   About Folder Contents
  419.    wt: 6:   musings do not puiblish real numbers
  420.    wt: 6:   A Signed Number Arithmetic Review
  421.    wt: 6:   24 Signed Numbers Arithmmetic Properties
  422.    wt: 6:   22 Multiplication of Signed Numbers
  423.    wt: 6:   21 Addition of Multiples of a Single Vector
  424.    wt: 6:   12 Real Numbers Line Signed Coordinates
  425.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  426.    wt: 6:   2 Counting Digits in Decimal Multiplication
  427.    wt: 6:   E Long Division Methods more
  428.    wt: 6:   D Long Division Methods
  429.    wt: 6:   15 Real Number Division
  430.    wt: 6:   14 Real Number Multiplication
  431.    wt: 6:   11 Real Number Addition
  432.    wt: 6:   10 Real Number Lengths and Signs
  433.    wt: 6:   9 Coordinates for Regions in Space
  434.    wt: 6:   5 Rational Numbers More
  435.    wt: 6:   4 Rational Numbers
  436.    wt: 6:   3 Fractions
  437.    wt: 6:   3 Adding Words To Arithmetic
  438.    wt: 6:   6 GCD from Prime
  439.    wt: 6:   4 signed coordinates for regions in space
  440.    wt: 6:   21 Working With Signs
  441.    wt: 6:   D Remainders Modulo 11 Pair Rule
  442.    wt: 6:   C Divisibility by 11 Integer Recognition Method
  443.    wt: 6:   7 Addition of Time Intervals
  444.    wt: 6:   6 How long is a million seconds
  445.    wt: 6:   4 Mixing and Changing Units of Time
  446.    wt: 6:   3 Units and Lengths of Time
  447.    wt: 6:   1 Intro of Kids To Time Date Skills
  448.    wt: 6:   5 Area Under Curve Exercise
  449.    wt: 6:   3 Two Chain Rule Method Exercises
  450.    wt: 6:   3 Second derivative test
  451.    wt: 6:   2 Second derivative test prequel
  452.    wt: 6:   11 Quotient rule
  453.    wt: 6:   6 Power rule from product rule
  454.    wt: 6:   4 Sum Rule
  455.    wt: 6:   10 Three one sided limits with infinite values
  456.    wt: 6:   G.1 Differentiable Functions Rolles Theorem
  457.    wt: 6:   F.5b Extreme Value Theorem
  458.    wt: 6:   F.2 Closed Range Theorem
  459.    wt: 6:   E1 Error Control Inequalities
  460.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
  461.    wt: 6:   Appendix D. What to do in School and Why
  462.    wt: 6:   Appendix A. Reading Guide For Next Appendices
  463.    wt: 6:   Chapter 30 Truth Tables
  464.    wt: 6:   Chapter 27 Shorthand Symbols as Pronouns
  465.    wt: 6:   Chapter 23. Notation For Sums
  466.    wt: 6:   Chapter 20. Degrees and Radians
  467.    wt: 6:   Chapter 13. Second Reading Guide
  468.    wt: 6:   Postscript What is a Variable
  469.    wt: 6:   Chapter 9 Talking about Numbers or Quantities
  470.    wt: 6:   Chapter 7 Prep for Calculus Arithmetic Exercises
  471.    wt: 6:   Chapter 6 Change of Language
  472.    wt: 6:   Annotated Links to Material Elsehwere
  473.    wt: 6:   Chapter 4 Complex Numbers and Why Slopes
  474.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  475.    wt: 6:   Chapter 15 Objective Processes
  476.    wt: 6:   Chapter 5 Deception
  477.    wt: 6:   Chapter 2 Skill Development
  478.    wt: 6:   Three Remarks
  479.    wt: 6:   S Adding words to algebra
  480.    wt: 6:   N Mathematics Prepare for College Studies
  481.    wt: 6:   N Improving Marks on Tests and Finals
  482.    wt: 6:   I. Logic and language skills
  483.    wt: 6:   D. Check work a must with a caution
  484.    wt: 6:   Ends Values Methods For Skill Development Framework Prequel
  485.    wt: 6:   Implementation Notes
  486.    wt: 6:   Which Way To Go
  487.    wt: 5:   chapitre 05 00 Deception
  488.    wt: 5:   chapitre 04 02 Deuxieme enigme
  489.    wt: 5:   chapitre 04 01 Premiere enigme
  490.    wt: 5:   problemes algebre et arithmetique
  491.    wt: 5:   2 Conductance Resistance Duality02
  492.    wt: 5:   1 Conductance Resistance Duality01
  493.    wt: 5:   E Wire Resistance Calculation03
  494.    wt: 5:   23 Modularized Skill Development Modularized Rigor
  495.    wt: 5:   18 Primary School Mathematics
  496.    wt: 5:   17 Math Booklets for children and young teenagers
  497.    wt: 5:   12 Goals and Objectives For Mathematics
  498.    wt: 5:   24 Monotoncity Injectivity and Inverse Functions
  499.    wt: 5:   21 Graphs of functions given by Horizontal Line Method
  500.    wt: 5:   20 Interchanging coordinates a reflection
  501.    wt: 5:   16 Increasing or decreasing on intervals
  502.    wt: 5:   5 Function notation for geometric transformations
  503.    wt: 5:   2 Algebraic use of function notation
  504.    wt: 5:   8 Notes for instructors or tutors
  505.    wt: 5:   7 Links Lessons Elsewhere
  506.    wt: 5:   Rewriting algebraic substitution as function substitutions
  507.    wt: 5:   20 N th Roots of Complex Numbers
  508.    wt: 5:   6 Field Properties of Complex Number
  509.    wt: 5:   1 The Counting Origins of Numbers
  510.    wt: 5:   6 Unsigned Real Numbers
  511.    wt: 5:   10 Set View of Wordy Extensions To Arithmetic
  512.    wt: 5:   7 Cautious or Safe Set Construction
  513.    wt: 5:   3 Counting with Sets etc
  514.    wt: 5:   2 Venn Diagrams
  515.    wt: 5:   1 Three Skills For Algebra
  516.    wt: 5:   9 subtracting signed numbers
  517.    wt: 5:   8 multiplying signed numbers
  518.    wt: 5:   6 adding signed numbers
  519.    wt: 5:   5 lengths and signs of numbers
  520.    wt: 5:   12 Adding Integers More Examples
  521.    wt: 5:   10 Integer Multiplication Formulas
  522.    wt: 5:   8 Multiplication by Signed Numbers Integers
  523.    wt: 5:   7 Multiplication by Signs
  524.    wt: 5:   5 Zero Movement and Additive Inverses
  525.    wt: 5:   1 Integers as Coordinates
  526.    wt: 5:   5 Conversion Arithmetic
  527.    wt: 5:   2 Indefinite Integrals Exercises
  528.    wt: 5:   1 Chain Rule in Reverse Integration Method
  529.    wt: 5:   G.5 Motions With Bounded Velocities
  530.    wt: 5:   F.4 Finite Covering Theorem
  531.    wt: 5:   D2 Limits of Monotone Sequences
  532.    wt: 5:   index
  533.    wt: 5:   Appendix C. How to Read
  534.    wt: 5:   Chapter 24. Personal Investment and Pension EGS
  535.    wt: 5:   Chapter 18. Rules for Algebra
  536.    wt: 5:   Chapter 15. Solving Linear Equations
  537.    wt: 5:   Chapter 12. Shorthand Usage Guide
  538.    wt: 5:   Chapter 11. Why Shorthand
  539.    wt: 5:   Chapter 8 Three Skills For Algebra
  540.    wt: 5:   Chapter 4 Longer Chains of Reason
  541.    wt: 5:   Chapter 1 Introduction to Chapters 2 to 6
  542.    wt: 5:   Postscript B Mathematics Education References
  543.    wt: 5:   Postscript A Three Remarks
  544.    wt: 5:   Chapter 11 Elementary Instruction
  545.    wt: 5:   Chapter 7 Two Treatments of Geometry
  546.    wt: 5:   Foreword
  547.    wt: 5:   Q How Logic and Proofs extend Show Work Practices
  548.    wt: 5:   M Words to extend arithmetic
  549.    wt: 5:   L Skills with take home value
  550.    wt: 5:   H Jigsaw puzzles and problem solving
  551.    wt: 5:   G. Written work formats for developing and showing skill
  552.    wt: 5:   F. The student teacher tutor feedback loop
  553.    wt: 5:   C. Domino effect of being careful
  554.    wt: 5:   A. Skill has to be seen to believed
  555.    wt: 4:   liens
  556.    wt: 4:   deux definitions pour variable
  557.    wt: 4:   F Wire Resistance Calculation04
  558.    wt: 4:   D Wire Resistance Calculation02
  559.    wt: 4:   C Wire Resistance Calculation01
  560.    wt: 4:   B Wire Resistance Qualitative02
  561.    wt: 4:   3 Like resistors in parallel
  562.    wt: 4:   24 Standards For Skill Develoment Take II
  563.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  564.    wt: 4:   14 Multiplication and Times Tables
  565.    wt: 4:   11 Help and Defend Your Child or Teens Education
  566.    wt: 4:   9 Streaming by Student Cooperation
  567.    wt: 4:   4 Learning Takes Time and Effort
  568.    wt: 4:   3 Preparing for Science Studies
  569.    wt: 4:   23 Inverse Functions
  570.    wt: 4:   19 Horizontal line rule and method
  571.    wt: 4:   18 Vertical Line Rule and Method
  572.    wt: 4:   12 Function Domain Recognition Exercises
  573.    wt: 4:   10 Interval Notation
  574.    wt: 4:   9 Set theory term relation possible origins
  575.    wt: 4:   8 Set view of relations and functions
  576.    wt: 4:   1 Geometric Introduction of Function Notation
  577.    wt: 4:   Introduction Reading Guide
  578.    wt: 4:   19 Signed Multiples of Vectors
  579.    wt: 4:   2 Integers
  580.    wt: 4:   6 Power Set Notation
  581.    wt: 4:   5 Product Builder Notation
  582.    wt: 4:   4 Subset Builder Notation
  583.    wt: 4:   About Folder Contents
  584.    wt: 4:   10 dividing signed numbers
  585.    wt: 4:   B Integer Long Division Multiple Choices
  586.    wt: 4:   9 Multiplying Integers
  587.    wt: 4:   4 Adding Movements wiht opposite directions
  588.    wt: 4:   2 Integers Multiplies of a Unit Moverment
  589.    wt: 4:   The 20 Times Table
  590.    wt: 4:   About folder contents
  591.    wt: 4:   Appendix B. How To Learn
  592.    wt: 4:   Chapter 28 Occurrence Tables
  593.    wt: 4:   Chapter 22. Geometric Sums and Sequences
  594.    wt: 4:   Chapter 21. Third Reading Guide
  595.    wt: 4:   Chapter 19. Functions and Sets
  596.    wt: 4:   Chapter 16. Painless Theorem Proving
  597.    wt: 4:   Solutions For Arithmetic Exercises
  598.    wt: 4:   Chapter 12 Four Phases
  599.    wt: 4:   Chapter 10 Transition
  600.    wt: 4:   Chapter 1 Introduction
  601.    wt: 4:   1 Links to Online Resources Elsewhere Take 1
  602.    wt: 4:   J. More on written work and showing skill
  603.    wt: 4:   E. When and how to correct errors
  604.    wt: 4:   How to Build Skills and Confidence
  605.    wt: 3:   problemes responses
  606.    wt: 3:   logique deux enigme
  607.    wt: 3:   3 Energy Power Heat08
  608.    wt: 3:   C Energy Power03
  609.    wt: 3:   2 Unlike resistors in parallel01
  610.    wt: 3:   24 Standards For Skill Develoment
  611.    wt: 3:   22 Student Centered Highschool Mathematics
  612.    wt: 3:   10 Ends values for work study instruction
  613.    wt: 3:   8 The Effect of Negative Remarks
  614.    wt: 3:   2 Reading and Writing Skills
  615.    wt: 3:   26 Function definitions done and coming
  616.    wt: 3:   7 Functions with finite domains
  617.    wt: 3:   8 Sets of Numbers
  618.    wt: 3:   1 Finite Sets
  619.    wt: 3:   Postscript More on Better Performance
  620.    wt: 3:   Postscript For Better Performance
  621.    wt: 3:   Chapter 9 The Two Ends
  622.    wt: 3:   Chapter 8 Modern Instruction
  623.    wt: 3:   Chapter 5 Four References
  624.    wt: 3:   H more Routine to non routine problem solving
  625.    wt: 3:   B. Domino effect of errors
  626.    wt: 3:   Road Safety Questions
  627.    wt: 2:   4 Energy Power Heat09
  628.    wt: 2:   2 Energy Power Heat07
  629.    wt: 2:   1 Energy Power Heat06
  630.    wt: 2:   A Energy Power01
  631.    wt: 2:   B Electromotive force conventional current01
  632.    wt: 2:   Home Tutoring and Home Schooling
  633.    wt: 2:   15 Counting For Parents
  634.    wt: 2:   7 Student Motivation
  635.    wt: 2:   1 Speaking Skills
  636.    wt: 2:   14 Surjections Injections Bijections
  637.    wt: 2:   Foreword
  638.    wt: 2:   Foreword
  639.    wt: 22:   13 Pythagorean spatial distance formulas
  640.    wt: 1:   E Energy Power05
  641.    wt: 1:   D Energy Power04
  642.    wt: 1:   B Energy Power02
  643.    wt: 1:   1 Like resistors in series
  644.    wt: 1:   F Unlike Resistors in Series
  645.    wt: 1:   E Kirchoffs Second Law
  646.    wt: 1:   D Kirchoff First Law
  647.    wt: 1:   C Electromotive force conventional current02
  648.    wt: 1:   A Circuit Elements
  649.    wt: 19:   10 Pythagorean plane distance formula
  650.    wt: 18:   sign monoticity analysis example 3
  651.    wt: 18:   Parallel Lines and Parallel Transversals
  652.    wt: 18:   Parallel Lines and Alternating Corresponding Angles
  653.    wt: 18:   5 Cartesian Addition and Translation
  654.    wt: 17:   Proportionality of Line Segments From Parallel Transversals
  655.    wt: 17:   13 Navigation Location from Angles to 2 Landmarks
  656.    wt: 17:   3 Rectangular Coordinates Review
  657.    wt: 17:   3 Lengths and Areas on Maps and Plans
  658.    wt: 17:   3 Solving triangular system example
  659.    wt: 16:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  660.    wt: 16:   sign monoticity analysis example 4
  661.    wt: 16:   sign monoticity analysis example 2
  662.    wt: 16:   sign monoticity analysis example 1
  663.    wt: 16:   9 Summary Degrees to Radians and back
  664.    wt: 16:   3 Circle Arclengh Proportional to Central Angle
  665.    wt: 16:   9 Pythagorean Theorem Chinese Square Proof
  666.    wt: 16:   6 Polar Multiplication and Rotation
  667.    wt: 16:   1 Cartesian Coordinates sans signs
  668.    wt: 16:   3 Gaussian Elimination 3 unknowns first example
  669.    wt: 16:   4 Solving a triangular system exercise
  670.    wt: 16:   9 Remainder Arithmetic Divisibility by 5
  671.    wt: 16:   3 Harder Cases Convert to Compare and Subtract
  672.    wt: 16:   1 Comparison and Subtraction Easy Direct Cases
  673.    wt: 15:   Ramblings Introduction Algebra Essay
  674.    wt: 15:   7 Radian Measures in special Triangles
  675.    wt: 15:   4 Circle Sector Area proportional to Central Angle
  676.    wt: 15:   2 Radian Measure Numerical Value of one degree
  677.    wt: 15:   14 Why Scalar Multiplication Distributes Physical Argument
  678.    wt: 15:   2 Graphing y=Af(x) Vertical Scaling
  679.    wt: 15:   Parallel Lines and Interior Angles
  680.    wt: 15:   Construction Methods and Criteria for Isometric and Similar Triangles
  681.    wt: 15:   3 Straight Lines Slope as Tangent of Inclination Angle
  682.    wt: 15:   34 sines and cosines of 2A 3A 4A 5A
  683.    wt: 15:   33 sines and cosines of 2A 3A 4A 5A
  684.    wt: 15:   3 Similarity by Design with coordinates
  685.    wt: 15:   12 Spatial Coordinates
  686.    wt: 15:   11 Triangle Inequality
  687.    wt: 15:   8 Distance Between Points on a Line
  688.    wt: 15:   4 Polar Coordinates to and from
  689.    wt: 15:   2 Cartesian Coordinates with signs
  690.    wt: 15:   PS F Scalar Multiplication Distributes over Addition
  691.    wt: 15:   4 Angles on Maps Plans drawn to scale
  692.    wt: 15:   3 GE III Equation Addition and Multiplication
  693.    wt: 15:   A Decimals Modular and Remainder Arithmetic
  694.    wt: 15:   11 Remainder Arithmetic Long Division by 5 Quickly more
  695.    wt: 15:   10 Remainder Arithmetic Long Division by 5 Quickly
  696.    wt: 15:   Long Division forwards and backwards Example 3
  697.    wt: 15:   3. How to add with decimals A sans conversions
  698.    wt: 15:   Chapter 3. Slope Sign Analysis
  699.    wt: 14:   Appendix 1 primary and preschool mathematic
  700.    wt: 14:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  701.    wt: 14:   8 quadratics backward use of various formulas
  702.    wt: 14:   3 Natural Logarithms and Exponentials Basic Properties
  703.    wt: 14:   8 Radian Measures of Common Angles
  704.    wt: 14:   1 Degrees and Radians Introduction
  705.    wt: 14:   14 Straight Lines Equations General Case
  706.    wt: 14:   35 sines and cosines of 2A 3A 4A 5A
  707.    wt: 14:   10 Similarity of Triangles Equivalent of Two Criteria
  708.    wt: 14:   9 Similarity of Triangles Usual Criteria
  709.    wt: 14:   8 Similarity of Triangles and Polygons
  710.    wt: 14:   7 Translations Rotations Reflections Dilatations
  711.    wt: 14:   5 Similarity of Circles Squares and Rectangles
  712.    wt: 14:   PS D Addition with Cartesian Coordinates
  713.    wt: 14:   PS C Similarity Use Recognize it in Trigonometry
  714.    wt: 14:   13 Angle Side Angle Failure
  715.    wt: 14:   3 Isometry of Triangles Congruence
  716.    wt: 14:   5 Drawing to Scale Avoids Angle Distortions
  717.    wt: 14:   4 Rates Ratios and Proporitionality
  718.    wt: 14:   3 Proportionality Examples
  719.    wt: 14:   5 Gaussian Elimination for 3 unknowns 2nd example
  720.    wt: 14:   2 Essentially one exercises three with solution
  721.    wt: 14:   6 Pythagorean Hypotenuse Calculation Example
  722.    wt: 14:   27 Divisibility by 2 3 6 5 9 10 Example
  723.    wt: 14:   26 Divisibility by 2 3 5 Example
  724.    wt: 14:   13 Remainder Arithmetic Modulo 5 Example
  725.    wt: 14:   Long Division forwards and backwards Example 2
  726.    wt: 14:   Long Division forwards and backwards Example 1
  727.    wt: 14:   A Elementary Basis for Multiplication Methods
  728.    wt: 14:   Appendix 1 Decimals Comparison Method Take II
  729.    wt: 14:   2 Subtraction Easy Case Examples
  730.    wt: 14:   11 Place Value SI Standard International way
  731.    wt: 14:   Chapter 19. Exponentials and Natural Logarithms
  732.    wt: 14:   Chapter 14 Limits and Continuity with and sans Decimals
  733.    wt: 14:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  734.    wt: 13:   C LAMP Introduction Culture in Mathematics Education
  735.    wt: 13:   Skills Chapter 3 Algebra
  736.    wt: 13:   A Quadratics Summary
  737.    wt: 13:   9 quadratics physical and further context
  738.    wt: 13:   6 quadratics numerical approach
  739.    wt: 13:   3 quadratics factoring by inspection
  740.    wt: 13:   6 Radian Measure to Degrees
  741.    wt: 13:   5 Degrees to Radian Measure
  742.    wt: 13:   7 Coordinate Addition and Scalar Multiplication
  743.    wt: 13:   4 graphing y=Asin(x c)
  744.    wt: 13:   3 graphing y=f(x c) plus K
  745.    wt: 13:   1 graphing y=f(x a)
  746.    wt: 13:   Triangle Angles Sum To 180 Degrees
  747.    wt: 13:   SAS Method For Isometric Or Proportional Triangle Construction
  748.    wt: 13:   Analytic View of Triangle Construction or Line Instersection More
  749.    wt: 13:   Straight Lines ASA Intersection Study More
  750.    wt: 13:   Straight Lines ASA Intersection Study
  751.    wt: 13:   13 Straight Lines Finding Equations from 2 points
  752.    wt: 13:   12 Straight Lines Graphing mx plus b
  753.    wt: 13:   11 Straight Lines Graphing y=mx
  754.    wt: 13:   7 Tangent Function is odd on this domain
  755.    wt: 13:   6 Tangent Function Inclination Angle Take 2
  756.    wt: 13:   2 Straight Lines Slopes As Rise Over Run
  757.    wt: 13:   11 Triangle Similarity Missing Side Problem
  758.    wt: 13:   6 Geometric Diagrams in Class
  759.    wt: 13:   1 Early Concept of Like or Similar Shapes
  760.    wt: 13:   11 A Partial Summary
  761.    wt: 13:   7 Complex Numbers Appetizer
  762.    wt: 13:   PS G Rotation Distributes over Addition
  763.    wt: 13:   PS E Multiplication with Polar Coordinates
  764.    wt: 13:   PS B Parallelogram Construction Methods
  765.    wt: 13:   18 Triangle Similarity Take 1
  766.    wt: 13:   16 Angles Subtended By Chords and Diameters
  767.    wt: 13:   6 Ruler and compass Angle Bisection
  768.    wt: 13:   8 More Use of Maps Not Drawn to Scale
  769.    wt: 13:   2 Measuring Area Directly
  770.    wt: 13:   3 Inequalities Algebraically
  771.    wt: 13:   5 Proportionality in Equivalent Fractions
  772.    wt: 13:   1 What is Proportionality
  773.    wt: 13:   9 Circle Area and Perimeter Formula Backwards Forwards
  774.    wt: 13:   8 Pythagorean Relation Forwards Backwards
  775.    wt: 13:   4 Rectangle Area and Like Formulas Backwards
  776.    wt: 13:   2 More and Less Than for Counts and Measures
  777.    wt: 13:   1 Essentially One Unknown
  778.    wt: 13:   3 Two Examples
  779.    wt: 13:   3 Triangle Area Formula Example
  780.    wt: 13:   2 Another Rectangle Area Formula Example
  781.    wt: 13:   C Equality for Fractions and Two Term Ratios and Fractions
  782.    wt: 13:   25 Divisibility Tests for 2 3 5 9 10 Example
  783.    wt: 13:   15 Remainder Arithmetic Modulo 9 Example
  784.    wt: 13:   14 Remainder Arithmetic Modulo 9 Example
  785.    wt: 13:   12 Remainder Arithmetic Modulo 10 Example
  786.    wt: 13:   8 Remainder Arithmetic Morulo 5 Examples II
  787.    wt: 13:   7 Remainder Arithmetic Modulo 5 Examples I
  788.    wt: 13:   Video Decimal Multiplication Geometric View Example 2
  789.    wt: 13:   Subtraction Another Video Lesson
  790.    wt: 13:   7 Subtraction for Decimal Fractions with Exercises
  791.    wt: 13:   7 Adding decimal fractions using decimal point
  792.    wt: 13:   Example 1. Area Between x and x squared
  793.    wt: 13:   33 Chain Rule Real Player video examples
  794.    wt: 13:   Postscript Pythagorean Theorem yet another proof
  795.    wt: 13:   Chapter 18. Slopes Areas Integration
  796.    wt: 13:   Chapter 17. Area Approximation
  797.    wt: 13:   Chapter 15. Algebraic Evaluation of Limits
  798.    wt: 13:   Chapter 13. Acceleration
  799.    wt: 13:   Chapter 4. More Slope Sign Analysis
  800.    wt: 13:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  801.    wt: 13:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  802.    wt: 12:   Appendix 2 primary school Arithmetic 01
  803.    wt: 12:   I LAMP Introduction Study Habits
  804.    wt: 12:   E LAMP Introduction Modern Mathematics
  805.    wt: 12:   B LAMP Introduction Curriculum Development Standards
  806.    wt: 12:   3 Euclidean Geometry Leanly
  807.    wt: 12:   Objectives for Mathematics and Logic Language Skill Development
  808.    wt: 12:   7 quadratic formulla derivation
  809.    wt: 12:   2 quadratics graphing in general
  810.    wt: 12:   1 quadratics graphing exercises
  811.    wt: 12:   5 Natural Logarithm Calculator Exercises
  812.    wt: 12:   A Global Time and Navigation
  813.    wt: 12:   3 Navigation with Arrows or Vectors
  814.    wt: 12:   D Straight Lines Slope from Coordinates Examples
  815.    wt: 12:   A Straight Line Slope Scaling Properties
  816.    wt: 12:   10 Straight Lines through Origin Equations More
  817.    wt: 12:   9 Straight Lines through Origin Equations
  818.    wt: 12:   8 Straight Lines Equation for vertical
  819.    wt: 12:   31 basic secant cosecant cotangent trig identities
  820.    wt: 12:   29 secant cosecant and cotangent for acute angles
  821.    wt: 12:   5 Trigonometric Ratios For Tangent and Special Triangles
  822.    wt: 12:   2 Similar Triangles Equality of Corresponding Side Ratios
  823.    wt: 12:   12 Triangles Similarity More Problems
  824.    wt: 12:   4 Similarity Definition with Coordinate
  825.    wt: 12:   2 Similarity By Design
  826.    wt: 12:   7 Exercises to test skill and concept mastery
  827.    wt: 12:   What is and is not here
  828.    wt: 12:   Euclidean Geometry Elsewhere LINKS
  829.    wt: 12:   PS H Distributive Law For Complex Numbers
  830.    wt: 12:   21 Parallelograms
  831.    wt: 12:   19 Right Triangle Similarity
  832.    wt: 12:   15 Triangle Angle Sum is 180 degrees
  833.    wt: 12:   14 Parallel Lines Postulate
  834.    wt: 12:   6 Figuring with Maps Not to Scale
  835.    wt: 12:   1 Decimals Modular and Remainder Arithmetic
  836.    wt: 12:   5 Triangle Area Formula Backwards
  837.    wt: 12:   5 Greater More Less Than Signs in General
  838.    wt: 12:   4 Comparison of Negative Numbers
  839.    wt: 12:   3 More and Less Than with Unlike Signs
  840.    wt: 12:   1 Real Numbers Comparison
  841.    wt: 12:   4 GE III Animated Examples
  842.    wt: 12:   13 Fraction Comparison Algebraic View
  843.    wt: 12:   8 Numerals Fractionals Quantals Take II
  844.    wt: 12:   6 Multiplication Algebraically Take II
  845.    wt: 12:   24 Divisibility Tests for 2 3 5 9 10
  846.    wt: 12:   23 Remainder Arithmetic Modulo 2
  847.    wt: 12:   22 Remainder Arithmetic Modulo 3 more
  848.    wt: 12:   21 Remainder Arithmetic Modulo 3
  849.    wt: 12:   19 Remainder Arithmetic Rule of 9 for checking sums III
  850.    wt: 12:   16 Remainder Arithmetic Modulo 9 Example 2
  851.    wt: 12:   6 Remainder Arithmetic Modulo 5 Propertie
  852.    wt: 12:   4 Remainder Arithmetic Modulo 10 in general
  853.    wt: 12:   3 Remainder Arithmetic Modulos 10 more still
  854.    wt: 12:   10 video Prime Factorization upto 23 squared
  855.    wt: 12:   7 Calculator Usage Notes and Cautions
  856.    wt: 12:   5 Prime Factorization and a Square Rule
  857.    wt: 12:   3 video Primes and Composites from 9 times table
  858.    wt: 12:   Long Division Backward
  859.    wt: 12:   10 Division by Five Long and Short Ways
  860.    wt: 12:   3 Division Single Digit Divisor Example
  861.    wt: 12:   Video Decimal Multiplication Geometric View Example 2
  862.    wt: 12:   Video Power Notation in Decimal Expansion
  863.    wt: 12:   Appendix 2 Three Decimal Subtraction Methods
  864.    wt: 12:   Subtraction with J Conversions Example
  865.    wt: 12:   6 Subtraction with Conversion Example with Exercises
  866.    wt: 12:   Appendix 1 Counting Revisited 15 minute video
  867.    wt: 12:   8 What skills and work habits to require
  868.    wt: 12:   6. Counting and adding units and mixed units
  869.    wt: 12:   5. How to add decimals C. Examples
  870.    wt: 12:   1. Explaining Addition Table
  871.    wt: 12:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  872.    wt: 12:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  873.    wt: 12:   5 More on Groups of 3 Place Value in Decimal Fractions
  874.    wt: 12:   4 Groups of 3 Place Value in Decimal Fractions
  875.    wt: 12:   3 More on Groups of 3 Multi Digit Place Value
  876.    wt: 12:   Example 1 volume of a pyramid
  877.    wt: 12:   A Chain Rule Real Player video examples
  878.    wt: 12:   Chapter 24 Logarithms Powers and Exponentials
  879.    wt: 12:   Chapter 23 Links To Trigonometry
  880.    wt: 12:   Chapter 16. Velocity Approximation
  881.    wt: 12:   Chapter 7 Slopes and Velocity
  882.    wt: 12:   Chapter 6. Slopes and Vertical Shifts
  883.    wt: 12:   Chapter 2. Slopes and Ski Trails
  884.    wt: 12:   Fall 1983 Calculus Appetizer
  885.    wt: 12:   Chapter 17 Objective Ways Trial and Error Discovery
  886.    wt: 11:   H LAMP Introduction Instructional Concepts
  887.    wt: 11:   F LAMP Introduction Prerequisites
  888.    wt: 11:   Ramblings Extrinsic numbers theory
  889.    wt: 11:   8 analytic geometry etc
  890.    wt: 11:   Applied Maths Program14092009 POMME variant
  891.    wt: 11:   teaching tutoring algebraic reason
  892.    wt: 11:   Education in mathematics science and technology
  893.    wt: 11:   10 quadratic exercises
  894.    wt: 11:   5 quadratics completing the square
  895.    wt: 11:   4 quadratics difference of two squares
  896.    wt: 11:   Quadratics in 10 steps
  897.    wt: 11:   6 Polynomial Operations and Equivalent Computation Rules
  898.    wt: 11:   13 Velocity Vectors in Physics
  899.    wt: 11:   10 Parallelogram Addition Method
  900.    wt: 11:   5 Head To Tail Arrow Addition
  901.    wt: 11:   Straight Lines Instersection Solving Equations
  902.    wt: 11:   Straight Lines Intersection of
  903.    wt: 11:   C Straight Lines Slope from Coordinates
  904.    wt: 11:   B Straight Line Slope Scaling Properties More
  905.    wt: 11:   5 Tangent Function Graph
  906.    wt: 11:   32 seven rows of pascals triangle
  907.    wt: 11:   19 Pythagorean Identity For sine and cosine functions
  908.    wt: 11:   18 sum of sinusoidal waves as a single wave
  909.    wt: 11:   16 Right Triangle Complementary Angle Relations
  910.    wt: 11:   15 sine cosine Complementary Angle Relations
  911.    wt: 11:   13 Graph of tangent function many periods
  912.    wt: 11:   6 Trigonometry Sines of Supplementary Angles
  913.    wt: 11:   Why Trigonometry the whyslopes view
  914.    wt: 11:   10 Midpoint of [a b] and [b a]
  915.    wt: 11:   6 Intersection of lines by solving linear systems
  916.    wt: 11:   5 Algebraic View of Slopes
  917.    wt: 11:   3 Slope product for perpendicular lines
  918.    wt: 11:   1 Numerical view of lines and their equations
  919.    wt: 11:   PS A Kite Construction Methods
  920.    wt: 11:   17 Right Bisectors of Triangle Sides
  921.    wt: 11:   12 Side Angle Side Failure
  922.    wt: 11:   11 Triangle Construction Fails
  923.    wt: 11:   10 Dropping a perpendicular to line
  924.    wt: 11:   9 Construction of a right bisector
  925.    wt: 11:   8 Isoceles Triangles
  926.    wt: 11:   7 Angle Side Angle
  927.    wt: 11:   1 Initial Concepts and Terms
  928.    wt: 11:   Short Course on Euclidean Geometry
  929.    wt: 11:   A Measurement with Ruler Proper Use
  930.    wt: 11:   25 Mid way Convergence to Axiomatic Approach
  931.    wt: 11:   5 Areas of Rectangles Revisited
  932.    wt: 11:   4 Fraction Operations Axiomatic Development
  933.    wt: 11:   2 Fraction Operations Physical Development
  934.    wt: 11:   2 Algebraic View
  935.    wt: 11:   6 Equations and Systems Equivalent or Implied
  936.    wt: 11:   5 Equality in Algebra
  937.    wt: 11:   4 Subtraction and Division Axioms
  938.    wt: 11:   2 Addition and Multiplication Axioms
  939.    wt: 11:   2 GE II Comparison
  940.    wt: 11:   6 Algebraic Solution Example
  941.    wt: 11:   5 Algebraic Solutions Introduction
  942.    wt: 11:   4 Four Examples Fractional Coefficients
  943.    wt: 11:   3 Four Examples
  944.    wt: 11:   10 One Example
  945.    wt: 11:   9 Three Examples
  946.    wt: 11:   8 One Example
  947.    wt: 11:   7 Two Examples
  948.    wt: 11:   6 Three Examples
  949.    wt: 11:   5 Three Examples
  950.    wt: 11:   4 Two Examples
  951.    wt: 11:   2 Three Examples
  952.    wt: 11:   13 Naming Identifying Formulas with Words
  953.    wt: 11:   4 Circle Area Formula Example
  954.    wt: 11:   3 Comparison of Negative Numbers
  955.    wt: 11:   1 Squares and Square Roots Introduction
  956.    wt: 11:   9 GCD of 360 110 via Primes and Euclid Algorithm
  957.    wt: 11:   2 Least Common Multiple LCM intro via list method
  958.    wt: 11:   A Similarities between Fractions and Two Term Ratios
  959.    wt: 11:   17 Efficient Ways to Add and Subtract
  960.    wt: 11:   16 Addition Subtraction Comparision Compared
  961.    wt: 11:   7 Numerals Fractionals Quantals
  962.    wt: 11:   3 Unit fraction of a fraction
  963.    wt: 11:   1 What is a fraction Take II
  964.    wt: 11:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  965.    wt: 11:   18 Remainder Arithmetic Rule of 9 for checking sums II
  966.    wt: 11:   17 Remainder Arithmetic Rule of 9 for checking sums I
  967.    wt: 11:   5 Remainder Arithmetic Modulo 5
  968.    wt: 11:   2 Remainder Arithmetic Modulo 10 more
  969.    wt: 11:   1 Remainder Arithmetic Modulo 10
  970.    wt: 11:   18 video Count Factors given Prime Factorization
  971.    wt: 11:   15 video Factors of 20 using Prime Factorization
  972.    wt: 11:   13 video Factors of 24 using prime
  973.    wt: 11:   9 video Prime Factorization upto 19 squared
  974.    wt: 11:   4 video Prime Factorization Introduction
  975.    wt: 11:   1 video how Products are bigger than factor
  976.    wt: 11:   Long Division Backwards more
  977.    wt: 11:   7 Long Divison Mistake Catching
  978.    wt: 11:   6 Why Decimal Long Division Methods Works Take I
  979.    wt: 11:   5 Decimal Fraction Multiplication
  980.    wt: 11:   8 Subtraction with Units of Measure
  981.    wt: 11:   5 A Tip for Efficent Subtraction
  982.    wt: 11:   4 Subtraction with Conversions Borrows and Letter J
  983.    wt: 11:   4. How to add with decimals B with conversions
  984.    wt: 11:   2 Decimal Counting Practices
  985.    wt: 11:   9 Place Value Review Decimal form of Avogrados number included
  986.    wt: 11:   Area Between Crossing Curves Lesson Take 2
  987.    wt: 11:   Area Between Crossing Curves Lesson Take 1
  988.    wt: 11:   Example 4 with x function of y
  989.    wt: 11:   Example 3
  990.    wt: 11:   Area Between Curves Lesson Take 2
  991.    wt: 11:   Area Between Curves Lesson Take 1
  992.    wt: 11:   38 Formulas and derivatives for powers and roots
  993.    wt: 11:   1 Fall 1983 Why Slopes Appetizer
  994.    wt: 11:   7 Evaluation by immediate or delayed substitution
  995.    wt: 11:   Chapter 21 Arrow Addition
  996.    wt: 11:   Chapter 15. Slope Approximation
  997.    wt: 11:   Chapter 12. Units and Slopes
  998.    wt: 11:   Chapter 10 Slopes and Units
  999.    wt: 11:   Chapter 9 About First Courses in Calculus
  1000.    wt: 11:   Chapter 22 Contrapositive and Vacuously True Implications
  1001.    wt: 11:   Chapter 4 Implication Rules Forwards and Backwards
  1002.    wt: 11:   Chapter 3 What is in chapters 4 to 8
  1003.    wt: 11:   Systematic Algebra Skill Development Missing Links
  1004.    wt: 11:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  1005.    wt: 11:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  1006.    wt: 10:   K LAMP Musings Science Education
  1007.    wt: 10:   J LAMP Introduction Extrinsic Origins
  1008.    wt: 10:   G LAMP Introduction Problem Solving Skills
  1009.    wt: 10:   A Introduction Objectives
  1010.    wt: 10:   Skills Chapter 5 Calculus
  1011.    wt: 10:   Skills Chapter 2 Geometry
  1012.    wt: 10:   Skills Chapter 1 Arithmetic
  1013.    wt: 10:   Skills Chapter 0 Introduction
  1014.    wt: 10:   7 logic review and decimals an odd combination
  1015.    wt: 10:   5 logarithms and exponentials etc
  1016.    wt: 10:   Math Ed if it must be short make it lean effective
  1017.    wt: 10:   grouping students according to ability
  1018.    wt: 10:   what should be learnt and When
  1019.    wt: 10:   Education Reform Inconsistencies
  1020.    wt: 10:   five decades make a difference
  1021.    wt: 10:   Maps Plans Drawings
  1022.    wt: 10:   Secondary Three Mathematics
  1023.    wt: 10:   Secondary Two Mathematics
  1024.    wt: 10:   Secondary One Mathematics
  1025.    wt: 10:   talk the algebra talk
  1026.    wt: 10:   three goals for Mathematics Education
  1027.    wt: 10:   standards for course material
  1028.    wt: 10:   education an empirical art
  1029.    wt: 10:   Ages 12 to 14 Skills with take home value
  1030.    wt: 10:   Ages 3 plus to 4 plus
  1031.    wt: 10:   11 Growth and Decay in Biology
  1032.    wt: 10:   10 Exponential Growth and Decay Models
  1033.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms
  1034.    wt: 10:   1 Calculator Starter Exercises
  1035.    wt: 10:   5 Polynomials Long division Nonlinear divisor
  1036.    wt: 10:   4 Polynomials Long division linear divisor
  1037.    wt: 10:   3 Polynomials Multiplication Addition
  1038.    wt: 10:   16 cotangent function Definition Graph and Inverse
  1039.    wt: 10:   15 cosecant function Definition Graph and Inverse
  1040.    wt: 10:   13 cosecant function Definition Graph and Inverse
  1041.    wt: 10:   11 arctan left inverse of tangent Graph
  1042.    wt: 10:   5 Swapping Coordinates is a reflection
  1043.    wt: 10:   12 From Applied To Pure Mathematics
  1044.    wt: 10:   9 Head to Tail Coordinate View
  1045.    wt: 10:   4 Tangent Function Properties
  1046.    wt: 10:   1 Straight Lines Slope Concept
  1047.    wt: 10:   24 tangent Angle Difference Formula
  1048.    wt: 10:   22 sine of 22.5 degrees via half angle formulas
  1049.    wt: 10:   21 sine and cosine Half Angle Formulas
  1050.    wt: 10:   17D cis formulas for sine cosines and tangent
  1051.    wt: 10:   17B sine cosine Angle Sum Formulas via cis
  1052.    wt: 10:   14 cosine even and sine and tangent are odd
  1053.    wt: 10:   10 Graphs of sines and cosines many periods
  1054.    wt: 10:   6 sines and cosines for reference angle 30 degrees
  1055.    wt: 10:   5 An Easy Proof of the Distributive Law
  1056.    wt: 10:   8 Triangles Cascade Problem Solving
  1057.    wt: 10:   4 Trigonometric Ratios For Two Special Triangles
  1058.    wt: 10:   3 Trigonometric Ratios sine and cosine
  1059.    wt: 10:   Right Triangle and Unit Circle Trigonometry
  1060.    wt: 10:   9 Midpoint Coordinates Half Endpoint Sum
  1061.    wt: 10:   2 point slope equation for a line
  1062.    wt: 10:   5 Side Angle Side
  1063.    wt: 10:   2 Correspondence between Triangles
  1064.    wt: 10:   1 Length Measurement
  1065.    wt: 10:   15 Head to Tails in place Addition Associative
  1066.    wt: 10:   B Decimal Comparison and Subtraction
  1067.    wt: 10:   7 Pythagorean Theorem Chinese Square Proof
  1068.    wt: 10:   6 Compound Interest Forward and Backwards
  1069.    wt: 10:   3 Linear Equation Literal Solution More
  1070.    wt: 10:   3 Geometric Formulas and Function Notation
  1071.    wt: 10:   1 GE Substitution four examples
  1072.    wt: 10:   1 Proper Equal Sign Usage
  1073.    wt: 10:   Skill Development Notes
  1074.    wt: 10:   8 Compound Interest Formula Evaluation
  1075.    wt: 10:   1 More and Less Than for Counts and Measures
  1076.    wt: 10:   3 Properties of Square Roots with example
  1077.    wt: 10:   3 Counting with Tables and Trees II
  1078.    wt: 10:   3 signed coordinates for maps and planes
  1079.    wt: 10:   5 Reciprocals and Division for Fractions with Units
  1080.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  1081.    wt: 10:   14 Adding and Subtracting with Like Denominators
  1082.    wt: 10:   11 Simplification an Algebraic View
  1083.    wt: 10:   10 Simplification of Fractions and Mixed Numerals
  1084.    wt: 10:   1 What is a fraction
  1085.    wt: 10:   19 video Prime Factorization Unique
  1086.    wt: 10:   17 Identify and Count Factors using Primes
  1087.    wt: 10:   14 video Factors of 24 Take II
  1088.    wt: 10:   8 video Prime Factorization upto 19
  1089.    wt: 10:   6 Sieve of Eratosthenes and Square Rule
  1090.    wt: 10:   Division with Counts and Length
  1091.    wt: 10:   12 Why Long Division Works Take III
  1092.    wt: 10:   11 Another Single Digit Divisor Example
  1093.    wt: 10:   9 Why Long Division Works Take II
  1094.    wt: 10:   1 Divsion Physical Examples
  1095.    wt: 10:   D Decimal Multiplication Methods Derived
  1096.    wt: 10:   C Counting Areas with Powers of Ten
  1097.    wt: 10:   6 Multiplication Commutes Order Not Important
  1098.    wt: 10:   3 More One Digit Multipliers
  1099.    wt: 10:   1 Why 3 times 5 gives 15
  1100.    wt: 10:   9 22 Minute Subtraction Review Video
  1101.    wt: 10:   2 Groups of Three Place Value for Multidigit Decimals
  1102.    wt: 10:   Example 2 volume of a cone
  1103.    wt: 10:   Example 2
  1104.    wt: 10:   Example 1
  1105.    wt: 10:   36 Cube root derivative animated
  1106.    wt: 10:   28 Chain Rule Preparation for a Proof
  1107.    wt: 10:   25 Chain Rule Animated Examples Continued
  1108.    wt: 10:   24 Chain Rule Animated Examples
  1109.    wt: 10:   22 Chain Rule for polynomials
  1110.    wt: 10:   7 Animated Differentiation Examples
  1111.    wt: 10:   13 Limits with Parameters and Derivatives Take II
  1112.    wt: 10:   Chapter 20 Vectors and Complex Numbers
  1113.    wt: 10:   Chapter 11. Graphing Slope versus Position
  1114.    wt: 10:   Chapter 8. Slope Interpretation
  1115.    wt: 10:   Chapter 1.Introduction
  1116.    wt: 10:   Postscript C Consistency as a Tool for Reason
  1117.    wt: 10:   Chapter 16 Origins and Limitations of Rules and Patterns
  1118.    wt: 10:   Chapter 14 Deductive and Empirical Views of Mathematics
  1119.    wt: 10:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  1120.    wt: 10:   Chapter 12 Islands and Divisions of Knowledge
  1121.    wt: 10:   More Algebra and Slope based Calculus Preview
  1122.    wt: 10:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics

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Mathematics Skills For Ages 3 to 14

Skills with take home value

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

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6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
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10 Examples of Algebraic Reasoning
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11 Parallel Straight Lines and Transversals
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Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

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