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

Extended Search

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

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7 Axioms Logic and Equivalent Equations
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10 Examples of Algebraic Reasoning
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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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Logic-Reason for all
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Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
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Geometry
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3 Rct +Polr Coordinates
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Logarithms-ax & m/nth roots
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What is a Variable
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