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

Logic mastery strengthens comprehension and so improves home, work & study abilities .
 Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 14+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5 fraction operations by raising terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles
Forewords + leading chapters give original reasons, still valid, for site content & growth.

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

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

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

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

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1053 matches:

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

Extended Search

1117 matches:

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

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

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Logic-Reason for all
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Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
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2 Euclidean Geometry
3 Rct +Polr Coordinates
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Logarithms-ax & m/nth roots
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What is a Variable
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