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

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1061 matches:

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

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1120 matches:

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

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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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