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

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1066 matches:

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

Extended Search

1119 matches:

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

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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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