Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
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 12+: 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.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: 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. Reform: look before you leap - plan all in detail first.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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

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1128 matches:

  1.    wt: 9:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  2.    wt: 9:   27 Graduated Correction and Penalties for Young Offenders
  3.    wt: 9:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  4.    wt: 9:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  5.    wt: 9:   25 Absolute Value greatest integer and saw tooth functions
  6.    wt: 9:   14 Why Scalar Multiplication Distributes Physical Argument
  7.    wt: 9:   29 secant cosecant and cotangent for acute angles
  8.    wt: 9:   13 Pythagorean spatial distance formulas
  9.    wt: 9:   4 Rectangle Area and Like Formulas Backwards
  10.    wt: 9:   2 Another Rectangle Area Formula Example
  11.    wt: 9:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  12.    wt: 9:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  13.    wt: 9:   Chapter 29 Contrapositive and Vacuously True Implications
  14.    wt: 9:   Chapter 2 Implication Rules Forwards and Backwards
  15.    wt: 9:   Primary and Secondary Skills and Practices with Take Home Value
  16.    wt: 9:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  17.    wt: 9:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  18.    wt: 9:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  19.    wt: 8:   C LAMP Introduction Culture in Mathematics Education
  20.    wt: 8:   2 Conductance Resistance Duality02
  21.    wt: 8:   5 Natural Logarithm Calculator Exercises
  22.    wt: 8:   6 Polynomial Operations and Equivalent Computation Rules
  23.    wt: 8:   Construction Methods and Criteria for Isometric and Similar Triangles
  24.    wt: 8:   26 Formulas for products of sines and cosines
  25.    wt: 8:   18 sum of sinusoidal waves as a single wave
  26.    wt: 8:   12 cis formulas for sine cosines and tangent
  27.    wt: 8:   10 Pythagorean plane distance formula
  28.    wt: 8:   PS F Scalar Multiplication Distributes over Addition
  29.    wt: 8:   5 Triangle Area Formula Backwards
  30.    wt: 8:   2 More and Less Than for Counts and Measures
  31.    wt: 8:   5 Gaussian Elimination for 3 unknowns 2nd example
  32.    wt: 8:   C Equality for Fractions and Two Term Ratios and Fractions
  33.    wt: 8:   8 Numerals Fractionals Quantals Take II
  34.    wt: 8:   7 Calculator Usage Notes and Cautions
  35.    wt: 8:   Long Division forwards and backwards Example 2
  36.    wt: 8:   11 Place Value SI Standard International way
  37.    wt: 8:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  38.    wt: 8:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  39.    wt: 8:   5 More on Groups of 3 Place Value in Decimal Fractions
  40.    wt: 8:   4 Groups of 3 Place Value in Decimal Fractions
  41.    wt: 8:   28 Chain Rule Preparation for a Proof
  42.    wt: 8:   Chapter 2 For and Against Mathematics
  43.    wt: 8:   Chapter 4 Implication Rules Forwards and Backwards
  44.    wt: 8:   Chapter 7 Calculus Previews and Calculus Lightly
  45.    wt: 8:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  46.    wt: 7:   B LAMP Introduction Curriculum Development Standards
  47.    wt: 7:   three goals for Mathematics Education
  48.    wt: 7:   need for a mixed mathematics curriculum
  49.    wt: 7:   chapitre 07 00 Des chaines plus longues de la raison
  50.    wt: 7:   chapitre 04 10 Etapes pour une meilleur raison
  51.    wt: 7:   25 Mathematics Education Leaving A Good Impression
  52.    wt: 7:   5 Patience Please for Yourself and Your Charges
  53.    wt: 7:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  54.    wt: 7:   22 Square Root function graphically
  55.    wt: 7:   7 quadratic formulla derivation
  56.    wt: 7:   6 quadratics numerical approach
  57.    wt: 7:   8 Formulas for Fractional Exponents with Logarithms
  58.    wt: 7:   3 Natural Logarithms and Exponentials Basic Properties
  59.    wt: 7:   Rewriting algebraic substitution as function substitutions
  60.    wt: 7:   7 Coordinate Addition and Scalar Multiplication
  61.    wt: 7:   Parallel Lines and Parallel Transversals
  62.    wt: 7:   17 tangent function angle sum formulas
  63.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  64.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  65.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  66.    wt: 7:   27 Logarithmic use of products of sines and cosines
  67.    wt: 7:   25 tangent double angle formula Slope connection
  68.    wt: 7:   21 sine and cosine Half Angle Formulas
  69.    wt: 7:   20 sine and cosine Double Angle Formulas
  70.    wt: 7:   17D cis formulas for sine cosines and tangent
  71.    wt: 7:   17B sine cosine Angle Sum Formulas via cis
  72.    wt: 7:   10 sine cosine Angle Sum Formulas via cis
  73.    wt: 7:   5 An Easy Proof of the Distributive Law
  74.    wt: 7:   2 Similar Triangles Equality of Corresponding Side Ratios
  75.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  76.    wt: 7:   10 Similarity of Triangles Equivalent of Two Criteria
  77.    wt: 7:   9 Similarity of Triangles Usual Criteria
  78.    wt: 7:   3 Lengths and Areas on Maps and Plans
  79.    wt: 7:   8 Division and Mulplication of Compound Fractions
  80.    wt: 7:   4 Commutative Law Groups Counting Form
  81.    wt: 7:   8 Pythagorean Relation Forwards Backwards
  82.    wt: 7:   2 Computation Rules Evaluation
  83.    wt: 7:   Formula Usage Show Work Format
  84.    wt: 7:   8 Compound Interest Formula Evaluation
  85.    wt: 7:   6 Pythagorean Hypotenuse Calculation Example
  86.    wt: 7:   3 Triangle Area Formula Example
  87.    wt: 7:   5 Talking about Numbers and Quantities
  88.    wt: 7:   1 More and Less Than for Counts and Measures
  89.    wt: 7:   7 Numerals Fractionals Quantals
  90.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  91.    wt: 7:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  92.    wt: 7:   5 Prime Factorization and a Square Rule
  93.    wt: 7:   Long Division forwards and backwards Example 3
  94.    wt: 7:   Long Division forwards and backwards Example 1
  95.    wt: 7:   A Elementary Basis for Multiplication Methods
  96.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  97.    wt: 7:   3 More on Groups of 3 Multi Digit Place Value
  98.    wt: 7:   Practical Methods Ends and Values for Arithmetic
  99.    wt: 7:   9 Comparison and Subtraction of Time Intervals
  100.    wt: 7:   38 Formulas and derivatives for powers and roots
  101.    wt: 7:   27 Chain Rule sinusoidal outer inner functions EGS
  102.    wt: 7:   25 Chain Rule Animated Examples Continued
  103.    wt: 7:   7 Evaluation by immediate or delayed substitution
  104.    wt: 7:   G.2 Lipshitz Conditions Integration Calculus Reform
  105.    wt: 7:   G.1 First Fundamental Theorem of Calculus
  106.    wt: 7:   Chapter 19. Exponentials and Natural Logarithms
  107.    wt: 7:   Chapter 9 About First Courses in Calculus
  108.    wt: 7:   Chapter 25. Mathematical Induction Examples
  109.    wt: 7:   Chapter 9 Talking about Numbers or Quantities
  110.    wt: 7:   Chapter 7 Prep for Calculus Arithmetic Exercises
  111.    wt: 7:   Chapter 16 Origins and Limitations of Rules and Patterns
  112.    wt: 7:   Chapter 14 Deductive and Empirical Views of Mathematics
  113.    wt: 7:   Chapter 12 Islands and Divisions of Knowledge
  114.    wt: 7:   V Reasons and Motivations for Logic and Mathematics
  115.    wt: 7:   Appendix A Calculus with Proofs for Keen or Gifted
  116.    wt: 7:   6 Measuring via counting or arithmetic the role of fractions
  117.    wt: 7:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  118.    wt: 7:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  119.    wt: 6:   Applied Maths Program14092009 POMME variant
  120.    wt: 6:   04 29 New Mathematics Curriculum
  121.    wt: 6:   02 20 mathematics education references
  122.    wt: 6:   three aims for mathematics students
  123.    wt: 6:   standards for course material
  124.    wt: 6:   Leaner mathematics curriculum
  125.    wt: 6:   Prequel In For A Penny In For A Pound
  126.    wt: 6:   1 Conductance Resistance Duality01
  127.    wt: 6:   D Wire Resistance Calculation02
  128.    wt: 6:   B Wire Resistance Qualitative02
  129.    wt: 6:   A Wire Resistance Qualitative01
  130.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take IV
  131.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take III
  132.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take II
  133.    wt: 6:   12 Goals and Objectives For Mathematics
  134.    wt: 6:   Ages 12 to 14 Skills with take home value
  135.    wt: 6:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  136.    wt: 6:   17 Function maxima minima and their location
  137.    wt: 6:   11 Function Domain Range Source and Targets
  138.    wt: 6:   5 Function notation for geometric transformations
  139.    wt: 6:   3 Formula or function graphing exercise
  140.    wt: 6:   2 Algebraic use of function notation
  141.    wt: 6:   A Quadratics Summary
  142.    wt: 6:   9 quadratics physical and further context
  143.    wt: 6:   4 quadratics difference of two squares
  144.    wt: 6:   2 quadratics graphing in general
  145.    wt: 6:   9 Formulas for Real Exponents with Logarithms
  146.    wt: 6:   7 Formulas for Roots with Logarithms Derivation
  147.    wt: 6:   6 Formulas for Even and Odd Roots with Logarithms
  148.    wt: 6:   2 Square Root Simplification a prequel
  149.    wt: 6:   9 Summary Degrees to Radians and back
  150.    wt: 6:   8 Radian Measures of Common Angles
  151.    wt: 6:   7 Radian Measures in special Triangles
  152.    wt: 6:   4 Resultant of a Sum of Movements
  153.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  154.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  155.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  156.    wt: 6:   6 Tangent Function Inclination Angle Take 2
  157.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  158.    wt: 6:   30 unit circle calculation of six trigonometric functions
  159.    wt: 6:   24 tangent Angle Difference Formula
  160.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  161.    wt: 6:   17E Trig Formulas for dot and cross Products
  162.    wt: 6:   17C sine and cosine double triple angle formulas
  163.    wt: 6:   17A The complex number valued trig function cis
  164.    wt: 6:   12 Graph of tangent function for one period
  165.    wt: 6:   13 Trig Formulas for dot and cross Products
  166.    wt: 6:   11 sine and cosine double triple angle formulas
  167.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  168.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  169.    wt: 6:   1 Numerical view of lines and their equations
  170.    wt: 6:   5 Cartesian Addition and Translation
  171.    wt: 6:   PS H Distributive Law For Complex Numbers
  172.    wt: 6:   8 More Use of Maps Not Drawn to Scale
  173.    wt: 6:   4 Angles on Maps Plans drawn to scale
  174.    wt: 6:   A Modular and Remainder Arithmetic
  175.    wt: 6:   25 Mid way Convergence to Axiomatic Approach
  176.    wt: 6:   22 Multiplication of Signed Numbers
  177.    wt: 6:   21 Addition of Multiples of a Single Vector
  178.    wt: 6:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  179.    wt: 6:   15 Head to Tails in place Addition Associative
  180.    wt: 6:   14 Vector Head to Tail Sums and Resultants
  181.    wt: 6:   B Decimal Comparison and Subtraction
  182.    wt: 6:   1 Decimals Modular and Remainder Arithmetic
  183.    wt: 6:   6 Compound Interest Forward and Backwards
  184.    wt: 6:   2 Linear Equation Literal Solution
  185.    wt: 6:   2 Addition and Multiplication Axioms
  186.    wt: 6:   8 Coordinates for Maps and Planes
  187.    wt: 6:   3 Geometric Formulas and Function Notation
  188.    wt: 6:   1 Formulas Dependence and Function Notation
  189.    wt: 6:   3 Gaussian Elimination 3 unknowns first example
  190.    wt: 6:   3 GE III Equation Addition and Multiplication
  191.    wt: 6:   Using Letters for Physical Quantities
  192.    wt: 6:   4 Circle Area Formula Example
  193.    wt: 6:   6 Three Notions of What is a Variable
  194.    wt: 6:   1 Squares and Square Roots Introduction
  195.    wt: 6:   3 signed coordinates for maps and planes
  196.    wt: 6:   2 signed and unsigned numbers as coordinates
  197.    wt: 6:   5 Reciprocals and Division for Fractions with Units
  198.    wt: 6:   16 Addition Subtraction Comparision Compared
  199.    wt: 6:   15 Adding and Subtracting with Unlike Denominators
  200.    wt: 6:   10 Simplification of Fractions and Mixed Numerals
  201.    wt: 6:   Fraction Operations by Raising Terms A Simple Innovation
  202.    wt: 6:   11 Adding Integers Formulas and Examples
  203.    wt: 6:   6 Multiplication by Natural Numbers
  204.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  205.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  206.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  207.    wt: 6:   20 Uniqueness of Prime Factorization
  208.    wt: 6:   15 video Factors of 20 using Prime Factorization
  209.    wt: 6:   10 video Prime Factorization upto 23 squared
  210.    wt: 6:   6 Sieve of Eratosthenes and Square Rule
  211.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  212.    wt: 6:   8 Subtraction with Units of Measure
  213.    wt: 6:   7 Subtraction for Decimal Fractions with Exercises
  214.    wt: 6:   3 Harder Cases Convert to Compare and Subtract
  215.    wt: 6:   2 Subtraction Easy Case Examples
  216.    wt: 6:   6. Counting and adding units and mixed units
  217.    wt: 6:   10 Names for Big Numbers and Powers of Ten Expansion
  218.    wt: 6:   Quick history of numbers and algebra
  219.    wt: 6:   Formula Evaluation how to show work
  220.    wt: 6:   8 Addition of Time Intervals via subtotaling
  221.    wt: 6:   Example 1. Area Between x and x squared
  222.    wt: 6:   A Chain Rule Real Player video examples
  223.    wt: 6:   26 Chain Rule Recognising outer inner functions
  224.    wt: 6:   24 Chain Rule Animated Examples
  225.    wt: 6:   22 Chain Rule for polynomials
  226.    wt: 6:   12 Limits with Parameters and Derivatives Take I
  227.    wt: 6:   5 Jumps and absence of unlimited error control
  228.    wt: 6:   G.2 Differentiable Functions Mean Value Theorem
  229.    wt: 6:   Chapter 15. Algebraic Evaluation of Limits
  230.    wt: 6:   Chapter 14 Limits and Continuity with and sans Decimals
  231.    wt: 6:   Appendix A. Reading Guide For Next Appendices
  232.    wt: 6:   Chapter 26 What is in chapters 27 to 31
  233.    wt: 6:   Chapter 22. Geometric Sums and Sequences
  234.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  235.    wt: 6:   Chapter 12. Shorthand Usage Guide
  236.    wt: 6:   Chapter 10 Describing and Changing Calculations
  237.    wt: 6:   Chapter 6 Change of Language
  238.    wt: 6:   Chapter 5 Islands and Divisions of Knowledge
  239.    wt: 6:   Chapter 6 Rule Based Reason in Mathematics
  240.    wt: 6:   Chapter 19 What is in chapters 20 to 24
  241.    wt: 6:   Chapter 8 Change of Language
  242.    wt: 6:   5 Interpreting and Drawing Maps and Plans.
  243.    wt: 6:   4 Money Matters Saving Earning Buying Selling and Budgets
  244.    wt: 6:   2 Identifying Size and Position Place and Spatial Sense
  245.    wt: 6:   More Algebra and Slope based Calculus Preview
  246.    wt: 5:   Appendix 1 primary and preschool mathematic
  247.    wt: 5:   Skills Chapter 5 Calculus
  248.    wt: 5:   Mathematics Education Professors
  249.    wt: 5:   mathematics curriculum shifts
  250.    wt: 5:   Education in mathematics science and technology
  251.    wt: 5:   three kinds of reason in mathematics
  252.    wt: 5:   Four ways to improve education reform
  253.    wt: 5:   education an empirical art
  254.    wt: 5:   fairness and inductive principles for instruction
  255.    wt: 5:   chapitre 07 01 principle D induction mathematique
  256.    wt: 5:   chapitre 06 00 Chaines de la raison
  257.    wt: 5:   chapitre 02 00 La Communication des idees
  258.    wt: 5:   F Wire Resistance Calculation04
  259.    wt: 5:   E Wire Resistance Calculation03
  260.    wt: 5:   C Wire Resistance Calculation01
  261.    wt: 5:   2 Unlike resistors in parallel01
  262.    wt: 5:   24 Standards For Skill Develoment Take II
  263.    wt: 5:   23 Modularized Skill Development Modularized Rigor
  264.    wt: 5:   22 Student Centered Highschool Mathematics
  265.    wt: 5:   17 Math Booklets for children and young teenagers
  266.    wt: 5:   10 Ends values for work study instruction
  267.    wt: 5:   6 Discipline Who is in Charge Conserving Authority
  268.    wt: 5:   sign monoticity analysis example 2
  269.    wt: 5:   21 Graphs of functions given by Horizontal Line Method
  270.    wt: 5:   15 Sign analysis of functions
  271.    wt: 5:   6 Set Existence Formation and Notation
  272.    wt: 5:   4 Function notation in and beyond mathematics
  273.    wt: 5:   5 quadratics completing the square
  274.    wt: 5:   1 quadratics graphing exercises
  275.    wt: 5:   1 Calculator Starter Exercises
  276.    wt: 5:   12 motivation for term arctan
  277.    wt: 5:   11 arctan left inverse of tangent Graph
  278.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  279.    wt: 5:   A Global Time and Navigation
  280.    wt: 5:   12 From Applied To Pure Mathematics
  281.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  282.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  283.    wt: 5:   14 Straight Lines Equations General Case
  284.    wt: 5:   8 Straight Lines Equation for vertical
  285.    wt: 5:   7 Tangent Function is odd on this domain
  286.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  287.    wt: 5:   32 seven rows of pascals triangle
  288.    wt: 5:   28 Expressing products of sines cosines as sums
  289.    wt: 5:   19 Pythagorean Identity For sine and cosine functions
  290.    wt: 5:   13 Graph of tangent function many periods
  291.    wt: 5:   11 tangent function undefined when terminal side vertical
  292.    wt: 5:   2 Quadrant I reference Angles
  293.    wt: 5:   9 The complex number valued trig function cis
  294.    wt: 5:   7 Second Way to Calculate Products
  295.    wt: 5:   1 Rectangular Polar Coordinates Review
  296.    wt: 5:   7 Translations Rotations Reflections Dilatations
  297.    wt: 5:   11 A Partial Summary
  298.    wt: 5:   4 Equations for lines three forms
  299.    wt: 5:   2 point slope equation for a line
  300.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  301.    wt: 5:   6 Polar Multiplication and Rotation
  302.    wt: 5:   PS G Rotation Distributes over Addition
  303.    wt: 5:   PS E Multiplication with Polar Coordinates
  304.    wt: 5:   PS D Addition with Cartesian Coordinates
  305.    wt: 5:   PS B Parallelogram Construction Methods
  306.    wt: 5:   6 Ruler and compass Angle Bisection
  307.    wt: 5:   A Measurement with Ruler Proper Use
  308.    wt: 5:   5 Drawing to Scale Avoids Angle Distortions
  309.    wt: 5:   2 Measuring Area Directly
  310.    wt: 5:   musings do not puiblish real numbers
  311.    wt: 5:   26 More Less Greater Than Comparison
  312.    wt: 5:   23 Distributive Law Two Derivations
  313.    wt: 5:   3 Location of Point in Decimal Multiplication
  314.    wt: 5:   2 Counting Digits in Decimal Multiplication
  315.    wt: 5:   6 Column Methods for Decimal Multiplication
  316.    wt: 5:   5 Distributive Law for Whole Numbers
  317.    wt: 5:   2 Combing Counts Addition Skills and Principles
  318.    wt: 5:   5 Areas of Rectangles Revisited
  319.    wt: 5:   7 Pythagorean Theorem Chinese Square Proof
  320.    wt: 5:   3 Linear Equation Literal Solution More
  321.    wt: 5:   6 Equations and Systems Equivalent or Implied
  322.    wt: 5:   4 Subtraction and Division Axioms
  323.    wt: 5:   1 Equivalent Computation Rules
  324.    wt: 5:   4 Comparison of Negative Numbers
  325.    wt: 5:   12 Real Number Additive Inverses or Negatives
  326.    wt: 5:   1 Whole and Natural Numbers
  327.    wt: 5:   4 Solving a triangular system exercise
  328.    wt: 5:   2 Essentially one exercises three with solution
  329.    wt: 5:   7 Compound Interest Formula Introduction
  330.    wt: 5:   5 Box Volume Formula Example
  331.    wt: 5:   7 Cautious or Safe Set Construction
  332.    wt: 5:   4 A Brief Story of numbers and algebra
  333.    wt: 5:   2 What is a Variable
  334.    wt: 5:   arithmetic videos Real Player Format
  335.    wt: 5:   3 Comparison of Negative Numbers
  336.    wt: 5:   16 GCD and LCM of 650 225 via Prime
  337.    wt: 5:   14 GCD of 650 110 via Primes LCM via Product Rule
  338.    wt: 5:   11 GCD 2700 288 via Euclid Algorithm
  339.    wt: 5:   10 Euclid Algorithm with 129 125 and with 45 14
  340.    wt: 5:   9 GCD of 360 110 via Primes and Euclid Algorithm
  341.    wt: 5:   2 Least Common Multiple LCM intro via list method
  342.    wt: 5:   5 Counting with Tables Trees Product Rule Take II
  343.    wt: 5:   11 What are real lengths and numbers
  344.    wt: 5:   2 Equality and Units
  345.    wt: 5:   1 Addition and Subtraction with Units
  346.    wt: 5:   A Similarities between Fractions and Two Term Ratios
  347.    wt: 5:   21 Reciprocals for Fractions and Wholes
  348.    wt: 5:   17 Efficient Ways to Add and Subtract
  349.    wt: 5:   14 Adding and Subtracting with Like Denominators
  350.    wt: 5:   6 Multiplication Algebraically Take II
  351.    wt: 5:   3 Unit fraction of a fraction
  352.    wt: 5:   2 Unit Fraction Multiplication
  353.    wt: 5:   1 What is a fraction Take II
  354.    wt: 5:   A Associative Law Theorectical Note
  355.    wt: 5:   10 Integer Multiplication Formulas
  356.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  357.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  358.    wt: 5:   23 Remainder Arithmetic Modulo 2
  359.    wt: 5:   22 Remainder Arithmetic Modulo 3 more
  360.    wt: 5:   16 Remainder Arithmetic Modulo 9 Example 2
  361.    wt: 5:   12 Remainder Arithmetic Modulo 10 Example
  362.    wt: 5:   9 video Prime Factorization upto 19 squared
  363.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  364.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  365.    wt: 5:   Appendix 1 Decimals Comparison Method Take II
  366.    wt: 5:   9 22 Minute Subtraction Review Video
  367.    wt: 5:   8 What skills and work habits to require
  368.    wt: 5:   7 Adding decimal fractions using decimal point
  369.    wt: 5:   1 Place Value in Three Digit Whole Numbers
  370.    wt: 5:   The 12 Times Table Visually
  371.    wt: 5:   016 Numbering Occidental Calendar Days
  372.    wt: 5:   012 Division of Time Intervals by Time Intervals
  373.    wt: 5:   Example 2 volume of a cone
  374.    wt: 5:   Example 1 volume of a pyramid
  375.    wt: 5:   Area Between Crossing Curves Lesson Take 2
  376.    wt: 5:   Area Between Curves Lesson Take 2
  377.    wt: 5:   A Related Material in Volume 3
  378.    wt: 5:   5 Area Under Curve Exercise
  379.    wt: 5:   4 Definite Integrals Evaluation Exercises
  380.    wt: 5:   33 Chain Rule Real Player video examples
  381.    wt: 5:   29 Chain Rule Optional Reading
  382.    wt: 5:   20 Chain Rule for Pulley Systems
  383.    wt: 5:   19 Chain Rule for linear functions
  384.    wt: 5:   17 Derivatives of quotients of sine and cosine
  385.    wt: 5:   16 Derivatives of reciprocals of sine and cosine
  386.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  387.    wt: 5:   F.1 What Functions are Continuous
  388.    wt: 5:   PostScript For and Against Decimal Perspectives
  389.    wt: 5:   Chapter 24 Logarithms Powers and Exponentials
  390.    wt: 5:   Chapter 17. Area Approximation
  391.    wt: 5:   Fall 1983 Calculus Appetizer
  392.    wt: 5:   Appendix E. How To Study Mathematics and Why
  393.    wt: 5:   Chapter 27 Shorthand Symbols as Pronouns
  394.    wt: 5:   Chapter 23. Notation For Sums
  395.    wt: 5:   Chapter 20. Degrees and Radians
  396.    wt: 5:   Postscript Unifying Theme A Fourth Skill For Algebra
  397.    wt: 5:   Chapter 8 Three Skills For Algebra
  398.    wt: 5:   Postscript C Consistency as a Tool for Reason
  399.    wt: 5:   Chapter 20 Shorthand Symbols as Pronouns
  400.    wt: 5:   Chapter 17 Objective Ways Trial and Error Discovery
  401.    wt: 5:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  402.    wt: 5:   P Exact Arithmetic With Whole Numbers and Fractions
  403.    wt: 5:   N Mathematics Prepare for College Studies
  404.    wt: 5:   I. Logic and language skills
  405.    wt: 5:   D. Check work a must with a caution
  406.    wt: 5:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  407.    wt: 5:   7 Games and Activities for Instruction
  408.    wt: 5:   1 From Number Recognition and Counting to Arithmetic A
  409.    wt: 5:   Ends Values Methods For Skill Development Framework Prequel
  410.    wt: 5:   Mathematics Teacher Certification Best Practices
  411.    wt: 5:   Talking pdf files for online lessons a webvideo alternative
  412.    wt: 4:   Appendix 2 primary school Arithmetic 01
  413.    wt: 4:   K LAMP Musings Science Education
  414.    wt: 4:   I LAMP Introduction Study Habits
  415.    wt: 4:   H LAMP Introduction Instructional Concepts
  416.    wt: 4:   F LAMP Introduction Prerequisites
  417.    wt: 4:   E LAMP Introduction Modern Mathematics
  418.    wt: 4:   Ramblings Introduction Algebra Essay
  419.    wt: 4:   7 logic review and decimals an odd combination
  420.    wt: 4:   three goals to set for students
  421.    wt: 4:   Teach the teachers plus goals
  422.    wt: 4:   Math Ed if it must be short make it lean effective
  423.    wt: 4:   grouping students according to ability
  424.    wt: 4:   what should be learnt and When
  425.    wt: 4:   Education Reform Inconsistencies
  426.    wt: 4:   Maps Plans Drawings
  427.    wt: 4:   Secondary Three Mathematics
  428.    wt: 4:   teaching tutoring algebraic reason
  429.    wt: 4:   04 25 when to stop or suspend mathemat
  430.    wt: 4:   02 21 words for teachers
  431.    wt: 4:   Operational Viewpoint to Value
  432.    wt: 4:   formal or informal peer review
  433.    wt: 4:   mathematics instruction in general
  434.    wt: 4:   words for mathematics instructor
  435.    wt: 4:   chapitre 04 05 Implication versus suggestion
  436.    wt: 4:   chapitre 04 04 Parlons de la logique
  437.    wt: 4:   chapitre 03 A Propos Des Prochains Chapitre
  438.    wt: 4:   Trois Notions qui menent a algebre
  439.    wt: 4:   C Electromotive force conventional current02
  440.    wt: 4:   24 Standards For Skill Develoment
  441.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  442.    wt: 4:   16 Secondary Mathematics Tips
  443.    wt: 4:   14 Multiplication and Times Tables
  444.    wt: 4:   13 Addition and Addition Tables
  445.    wt: 4:   11 Help and Defend Your Child or Teens Education
  446.    wt: 4:   4 Learning Takes Time and Effort
  447.    wt: 4:   2 Reading and Writing Skills
  448.    wt: 4:   sign monoticity analysis example 4
  449.    wt: 4:   sign monoticity analysis example 3
  450.    wt: 4:   sign monoticity analysis example 1
  451.    wt: 4:   20 Interchanging coordinates a reflection
  452.    wt: 4:   12 Function Domain Recognition Exercises
  453.    wt: 4:   8 Set view of relations and functions
  454.    wt: 4:   1 Geometric Introduction of Function Notation
  455.    wt: 4:   10 quadratic exercises
  456.    wt: 4:   3 quadratics factoring by inspection
  457.    wt: 4:   Quadratics in 10 steps
  458.    wt: 4:   5 Polynomials Long division Nonlinear divisor
  459.    wt: 4:   4 Polynomials Long division linear divisor
  460.    wt: 4:   3 Polynomials Multiplication Addition
  461.    wt: 4:   2 Column Multiplication Method
  462.    wt: 4:   1 Polynomials Distributive Law
  463.    wt: 4:   16 cotangent function Definition Graph and Inverse
  464.    wt: 4:   15 cosecant function Definition Graph and Inverse
  465.    wt: 4:   14 secant function Definition Graph and Inverse
  466.    wt: 4:   13 cosecant function Definition Graph and Inverse
  467.    wt: 4:   10 arctan left inverse of tangent Definition
  468.    wt: 4:   9 motivation for name arcsin
  469.    wt: 4:   6 Graph of arccos function
  470.    wt: 4:   5 Swapping Coordinates is a reflection
  471.    wt: 4:   6 Radian Measure to Degrees
  472.    wt: 4:   5 Degrees to Radian Measure
  473.    wt: 4:   3 Circle Arclengh Proportional to Central Angle
  474.    wt: 4:   1 Degrees and Radians Introduction
  475.    wt: 4:   10 Parallelogram Addition Method
  476.    wt: 4:   5 Head To Tail Arrow Addition
  477.    wt: 4:   Parallel Lines and Interior Angles
  478.    wt: 4:   Straight Lines ASA Intersection Study More
  479.    wt: 4:   Straight Lines ASA Intersection Study
  480.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  481.    wt: 4:   12 Straight Lines Graphing mx plus b
  482.    wt: 4:   10 Straight Lines through Origin Equations More
  483.    wt: 4:   9 Straight Lines through Origin Equations
  484.    wt: 4:   31 basic secant cosecant cotangent trig identities
  485.    wt: 4:   16 Right Triangle Complementary Angle Relations
  486.    wt: 4:   14 cosine even and sine and tangent are odd
  487.    wt: 4:   10 Graphs of sines and cosines many periods
  488.    wt: 4:   21 Logarithms Powers and Exponentials
  489.    wt: 4:   2 Complex Numbers made easier we hope
  490.    wt: 4:   Appetizer A Complex Number Applet
  491.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  492.    wt: 4:   4 Trigonometric Ratios For Two Special Triangles
  493.    wt: 4:   8 Similarity of Triangles and Polygons
  494.    wt: 4:   1 Early Concept of Like or Similar Shapes
  495.    wt: 4:   10 Midpoint of [a b] and [b a]
  496.    wt: 4:   3 Slope product for perpendicular lines
  497.    wt: 4:   What is and is not here
  498.    wt: 4:   12 Spatial Coordinates
  499.    wt: 4:   3 Rectangular Coordinates Review
  500.    wt: 4:   2 Cartesian Coordinates with signs
  501.    wt: 4:   1 Cartesian Coordinates sans signs
  502.    wt: 4:   21 Parallelograms
  503.    wt: 4:   16 Angles Subtended By Chords and Diameters
  504.    wt: 4:   15 Triangle Angle Sum is 180 degrees
  505.    wt: 4:   14 Parallel Lines Postulate
  506.    wt: 4:   13 Angle Side Angle Failure
  507.    wt: 4:   12 Side Angle Side Failure
  508.    wt: 4:   9 Construction of a right bisector
  509.    wt: 4:   3 Isometry of Triangles Congruence
  510.    wt: 4:   6 Figuring with Maps Not to Scale
  511.    wt: 4:   17 Arrows Rotate to Reverse with Length Unchanged
  512.    wt: 4:   13 Arrows and Vectors in a Plane
  513.    wt: 4:   12 Real Numbers Line Signed Coordinates
  514.    wt: 4:   11 Signed Number Addition and Addition Properties
  515.    wt: 4:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  516.    wt: 4:   4 Location of Point in Decimal Addition
  517.    wt: 4:   C Three Decimal Subtraction Methods
  518.    wt: 4:   A Decimal Addition Columm Methods
  519.    wt: 4:   8 Column Multiplication Methods in General
  520.    wt: 4:   7 Decimals Multiplication Methods Examples
  521.    wt: 4:   3 Multiplicative Counting Skills Principles
  522.    wt: 4:   4 Fraction Operations Axiomatic Development
  523.    wt: 4:   3 Inequalities Algebraically
  524.    wt: 4:   2 Fraction Operations Physical Development
  525.    wt: 4:   5 Proportionality in Equivalent Fractions
  526.    wt: 4:   4 Rates Ratios and Proporitionality
  527.    wt: 4:   1 Changing Calculations
  528.    wt: 4:   1 Real Numbers Comparison
  529.    wt: 4:   16 Real Numbers Comparison
  530.    wt: 4:   14 Real Number Multiplication
  531.    wt: 4:   13 Real Number Subtraction
  532.    wt: 4:   7 Real Numbers as Line Cordinates
  533.    wt: 4:   1 GE Substitution four examples
  534.    wt: 4:   3 Solving triangular system example
  535.    wt: 4:   4 Four Examples Fractional Coefficients
  536.    wt: 4:   1 Proper Equal Sign Usage
  537.    wt: 4:   13 Naming Identifying Formulas with Words
  538.    wt: 4:   1 Written work formats for developing and showing skill
  539.    wt: 4:   9 Sets in Probability and Statistics
  540.    wt: 4:   1 Three Skills For Algebra
  541.    wt: 4:   2 More and Less Than with Unlike Signs
  542.    wt: 4:   3 Properties of Square Roots with example
  543.    wt: 4:   12 GCD 2700 288 via Prime
  544.    wt: 4:   4 Counting with Trees Product Rule Take I
  545.    wt: 4:   2 Counting with Tables and Trees I
  546.    wt: 4:   6 Simplification of Fractions with Units
  547.    wt: 4:   3 Multiplying Units and Numbers
  548.    wt: 4:   22 Complex Compound Fractions
  549.    wt: 4:   13 Fraction Comparison Algebraic View
  550.    wt: 4:   12 Fraction Comparison
  551.    wt: 4:   6 Multiplication of Mixed Numbers
  552.    wt: 4:   1 What is a fraction
  553.    wt: 4:   D Remainders Modulo 11 Pair Rule
  554.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  555.    wt: 4:   26 Divisibility by 2 3 5 Example
  556.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  557.    wt: 4:   21 Remainder Arithmetic Modulo 3
  558.    wt: 4:   15 Remainder Arithmetic Modulo 9 Example
  559.    wt: 4:   14 Remainder Arithmetic Modulo 9 Example
  560.    wt: 4:   13 Remainder Arithmetic Modulo 5 Example
  561.    wt: 4:   11 Remainder Arithmetic Long Division by 5 Quickly more
  562.    wt: 4:   10 Remainder Arithmetic Long Division by 5 Quickly
  563.    wt: 4:   8 Remainder Arithmetic Morulo 5 Examples II
  564.    wt: 4:   7 Remainder Arithmetic Modulo 5 Examples I
  565.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  566.    wt: 4:   2 Remainder Arithmetic Modulo 10 more
  567.    wt: 4:   19 video Prime Factorization Unique
  568.    wt: 4:   18 video Count Factors given Prime Factorization
  569.    wt: 4:   17 Identify and Count Factors using Primes
  570.    wt: 4:   14 video Factors of 24 Take II
  571.    wt: 4:   13 video Factors of 24 using prime
  572.    wt: 4:   11 Efficient Square Rule Use
  573.    wt: 4:   1 video how Products are bigger than factor
  574.    wt: 4:   7 Long Divison Mistake Catching
  575.    wt: 4:   C Counting Areas with Powers of Ten
  576.    wt: 4:   6 Multiplication Commutes Order Not Important
  577.    wt: 4:   5 Decimal Fraction Multiplication
  578.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  579.    wt: 4:   5 A Tip for Efficent Subtraction
  580.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  581.    wt: 4:   3. How to add with decimals A sans conversions
  582.    wt: 4:   2 Decimal Counting Practices
  583.    wt: 4:   Exact Arithmetic Wholes and Fractions
  584.    wt: 4:   015 School and work day counting tables
  585.    wt: 4:   014 Counting Days with Calendars
  586.    wt: 4:   011 Division of Time Intervals By Numbers
  587.    wt: 4:   010 Repeated Addition of Time Intervals
  588.    wt: 4:   4 Mixing and Changing Units of Time
  589.    wt: 4:   2 Time and Date Matters in School
  590.    wt: 4:   Area Between Crossing Curves Lesson Take 1
  591.    wt: 4:   Area Between Curves Lesson Take 1
  592.    wt: 4:   36 Cube root derivative animated
  593.    wt: 4:   34 Derivative of exponential function
  594.    wt: 4:   30Chain Rule A Proof
  595.    wt: 4:   23 Chain Rule in general
  596.    wt: 4:   21 Chain Rule for powers
  597.    wt: 4:   12 Quotient rule examples
  598.    wt: 4:   7 Animated Differentiation Examples
  599.    wt: 4:   3 Motivation for Limit Definition Take 2
  600.    wt: 4:   2 Motivation for Limit Definition Take 1
  601.    wt: 4:   8 Four Animated Examples
  602.    wt: 4:   Postscript One Sided and Intermediate Value Theorems
  603.    wt: 4:   G.6 Bounded Derivatives implies Lipshitz Continuity
  604.    wt: 4:   G.4 Lipschitz Continuity implies EquiContinuity
  605.    wt: 4:   Postscript Pythagorean Theorem yet another proof
  606.    wt: 4:   Chapter 22 Complex Numbers
  607.    wt: 4:   Chapter 21 Arrow Addition
  608.    wt: 4:   Chapter 20 Vectors and Complex Numbers
  609.    wt: 4:   Chapter 18. Slopes Areas Integration
  610.    wt: 4:   Chapter 12. Units and Slopes
  611.    wt: 4:   Chapter 4. More Slope Sign Analysis
  612.    wt: 4:   Chapter 3. Slope Sign Analysis
  613.    wt: 4:   Chapter 2. Slopes and Ski Trails
  614.    wt: 4:   Chapter 28 Occurrence Tables
  615.    wt: 4:   Chapter 24. Personal Investment and Pension EGS
  616.    wt: 4:   Chapter 21. Third Reading Guide
  617.    wt: 4:   Chapter 18. Rules for Algebra
  618.    wt: 4:   Chapter 15. Solving Linear Equations
  619.    wt: 4:   Postscript What is a Variable
  620.    wt: 4:   Solutions For Arithmetic Exercises
  621.    wt: 4:   Chapter 4 Longer Chains of Reason
  622.    wt: 4:   Chapter 3 Chains of Reason
  623.    wt: 4:   Chapter 1 Introduction to Chapters 2 to 6
  624.    wt: 4:   Annotated Links to Material Elsehwere
  625.    wt: 4:   Postscript B Mathematics Education References
  626.    wt: 4:   Chapter 12 Four Phases
  627.    wt: 4:   Chapter 24 Direct and Indirect Reason
  628.    wt: 4:   Chapter 23 Truth Tables
  629.    wt: 4:   Chapter 21 Occurrence Tables
  630.    wt: 4:   Chapter 11 Accidental Patterns
  631.    wt: 4:   Chapter 9 What is in Chapters 10 to 18
  632.    wt: 4:   Chapter 7 Longer Chains of Reason
  633.    wt: 4:   Chapter 6 Chains of Reason
  634.    wt: 4:   Chapter 3 What is in chapters 4 to 8
  635.    wt: 4:   R Why Learn Mathematics Skills
  636.    wt: 4:   O On Learning Mathematics and Science
  637.    wt: 4:   L Skills with take home value
  638.    wt: 4:   G. Written work formats for developing and showing skill
  639.    wt: 4:   F. The student teacher tutor feedback loop
  640.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  641.    wt: 4:   3 Telling Tracking Time Temporal and More Place Sense
  642.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  643.    wt: 4:   Mathematics Education References
  644.    wt: 4:   Mathematics Education References
  645.    wt: 4:   Multiple Ways to Improve Mathematics Skill Development
  646.    wt: 4:   The Math Forum and Site Content
  647.    wt: 3:   G LAMP Introduction Problem Solving Skills
  648.    wt: 3:   Skills Chapter 3 Algebra
  649.    wt: 3:   Skills Chapter 2 Geometry
  650.    wt: 3:   Skills Chapter 1 Arithmetic
  651.    wt: 3:   Skills Chapter 0 Introduction
  652.    wt: 3:   11 pure mathematics
  653.    wt: 3:   5 logarithms and exponentials etc
  654.    wt: 3:   3 Euclidean Geometry Leanly
  655.    wt: 3:   2 arithmetic with signed numbers
  656.    wt: 3:   1 arithmetic with unsigned numbers
  657.    wt: 3:   permissions for teachers
  658.    wt: 3:   activities for students
  659.    wt: 3:   links Education Resources online
  660.    wt: 3:   About site lesson plans
  661.    wt: 3:   five decades make a difference
  662.    wt: 3:   how letters appear
  663.    wt: 3:   Secondary Two Mathematics
  664.    wt: 3:   Secondary One Mathematics
  665.    wt: 3:   talk the algebra talk
  666.    wt: 3:   geometric implications for algebra
  667.    wt: 3:   Different Kinds of Reasoning in maths
  668.    wt: 3:   chapitre 12 00 les iles et division
  669.    wt: 3:   chapitre 04 07 RepetablesEtReproductibles
  670.    wt: 3:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  671.    wt: 3:   chapitre 04 02 Deuxieme enigme
  672.    wt: 3:   problemes algebre et arithmetique
  673.    wt: 3:   deux definitions pour variable
  674.    wt: 3:   3 Like resistors in parallel
  675.    wt: 3:   B Electromotive force conventional current01
  676.    wt: 3:   18 Primary School Mathematics
  677.    wt: 3:   15 Counting For Parents
  678.    wt: 3:   9 Streaming by Student Cooperation
  679.    wt: 3:   8 The Effect of Negative Remarks
  680.    wt: 3:   3 Preparing for Science Studies
  681.    wt: 3:   Ages 12 to 14 Arithmetic
  682.    wt: 3:   Ages 10 to 12 Arithmetic
  683.    wt: 3:   Ages 4 plus to 5 plus
  684.    wt: 3:   Ages 3 plus to 4 plus
  685.    wt: 3:   26 Function definitions done and coming
  686.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  687.    wt: 3:   19 Horizontal line rule and method
  688.    wt: 3:   18 Vertical Line Rule and Method
  689.    wt: 3:   16 Increasing or decreasing on intervals
  690.    wt: 3:   Introduction Reading Guide
  691.    wt: 3:   10 Exponential Growth and Decay Models
  692.    wt: 3:   8 Notes for instructors or tutors
  693.    wt: 3:   8 arcsin left inverse of sine Graph
  694.    wt: 3:   4 possible motivation for term arccos
  695.    wt: 3:   9 Head to Tail Coordinate View
  696.    wt: 3:   3 Navigation with Arrows or Vectors
  697.    wt: 3:   Vector and Complex Number Applet
  698.    wt: 3:   Triangle Angles Sum To 180 Degrees
  699.    wt: 3:   Straight Lines Instersection Solving Equations
  700.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  701.    wt: 3:   A Straight Line Slope Scaling Properties
  702.    wt: 3:   5 Tangent Function Graph
  703.    wt: 3:   15 sine cosine Complementary Angle Relations
  704.    wt: 3:   9 Graphs of sine and cosine over one period
  705.    wt: 3:   8 period of tangent function
  706.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  707.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  708.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  709.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  710.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  711.    wt: 3:   20 N th Roots of Complex Numbers
  712.    wt: 3:   17 Cube Roots of unity
  713.    wt: 3:   16 References and Originality Question
  714.    wt: 3:   8 Triangles Cascade Problem Solving
  715.    wt: 3:   1 Angle Measurement with Degrees
  716.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  717.    wt: 3:   12 Triangles Similarity More Problems
  718.    wt: 3:   11 Triangle Similarity Missing Side Problem
  719.    wt: 3:   6 Geometric Diagrams in Class
  720.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  721.    wt: 3:   8 Mid Point Formula
  722.    wt: 3:   7 Exercises to test skill and concept mastery
  723.    wt: 3:   11 Triangle Inequality
  724.    wt: 3:   8 Distance Between Points on a Line
  725.    wt: 3:   4 Polar Coordinates to and from
  726.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  727.    wt: 3:   PS A Kite Construction Methods
  728.    wt: 3:   18 Triangle Similarity Take 1
  729.    wt: 3:   17 Right Bisectors of Triangle Sides
  730.    wt: 3:   11 Triangle Construction Fails
  731.    wt: 3:   10 Dropping a perpendicular to line
  732.    wt: 3:   Short Course on Euclidean Geometry
  733.    wt: 3:   A Signed Number Arithmetic Review
  734.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  735.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  736.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  737.    wt: 3:   9 Division with Digits after Decimal Point
  738.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  739.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  740.    wt: 3:   1 Fractions with Finite Decimal Expansions
  741.    wt: 3:   1 The Counting Origins of Numbers
  742.    wt: 3:   1 What is Proportionality
  743.    wt: 3:   5 Equality in Algebra
  744.    wt: 3:   3 Product Axioms Two Forms
  745.    wt: 3:   5 Greater More Less Than Signs in General
  746.    wt: 3:   3 More and Less Than with Unlike Signs
  747.    wt: 3:   15 Real Number Division
  748.    wt: 3:   11 Real Number Addition
  749.    wt: 3:   10 Real Number Lengths and Signs
  750.    wt: 3:   9 Coordinates for Regions in Space
  751.    wt: 3:   6 Unsigned Real Numbers
  752.    wt: 3:   5 Rational Numbers More
  753.    wt: 3:   4 Rational Numbers
  754.    wt: 3:   4 GE III Animated Examples
  755.    wt: 3:   2 GE II Comparison
  756.    wt: 3:   6 Algebraic Solution Example
  757.    wt: 3:   5 Algebraic Solutions Introduction
  758.    wt: 3:   2 Three Examples
  759.    wt: 3:   2 Three Examples
  760.    wt: 3:   10 Volume of Pyramid
  761.    wt: 3:   5 Product Builder Notation
  762.    wt: 3:   4 Subset Builder Notation
  763.    wt: 3:   2 Venn Diagrams
  764.    wt: 3:   4 Greater More Less Than Signs in General
  765.    wt: 3:   2 Square Roots with Prime
  766.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  767.    wt: 3:   8 GCD from Euclidean Algorithm
  768.    wt: 3:   7 GCD and LCM from prime factorization
  769.    wt: 3:   4 LCM of 8 and 10 via Prime
  770.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  771.    wt: 3:   1 Least Common Multiples LCM Introduction
  772.    wt: 3:   3 Counting with Tables and Trees II
  773.    wt: 3:   1 Counting and Counting Methods I
  774.    wt: 3:   9 subtracting signed numbers
  775.    wt: 3:   7 negative and additive inverse
  776.    wt: 3:   5 lengths and signs of numbers
  777.    wt: 3:   4 signed coordinates for regions in space
  778.    wt: 3:   B Fractions and Two Term Ratios
  779.    wt: 3:   11 Simplification an Algebraic View
  780.    wt: 3:   9 Improper Fractions and Mixed Numbers
  781.    wt: 3:   5 Equivalent Fractions
  782.    wt: 3:   4 Fraction Multiplication
  783.    wt: 3:   13 Subtraction with Additive Inverse
  784.    wt: 3:   12 Adding Integers More Examples
  785.    wt: 3:   8 Multiplication by Signed Numbers Integers
  786.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  787.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  788.    wt: 3:   5 Remainder Arithmetic Modulo 5
  789.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  790.    wt: 3:   1 Remainder Arithmetic Modulo 10
  791.    wt: 3:   16 video Factors of 980 using prime
  792.    wt: 3:   12 LCD GCD and LCM using Primes
  793.    wt: 3:   8 video Prime Factorization upto 19
  794.    wt: 3:   4 video Prime Factorization Introduction
  795.    wt: 3:   2 Prime and Composites less than 16
  796.    wt: 3:   Long Division Backwards more
  797.    wt: 3:   Long Division Backward
  798.    wt: 3:   Division with Counts and Length
  799.    wt: 3:   12 Why Long Division Works Take III
  800.    wt: 3:   11 Another Single Digit Divisor Example
  801.    wt: 3:   10 Division by Five Long and Short Ways
  802.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  803.    wt: 3:   3 Division Single Digit Divisor Example
  804.    wt: 3:   2 Division with Single Digit Divisors
  805.    wt: 3:   D Decimal Multiplication Methods Derived
  806.    wt: 3:   4 Two and Three Digit Multipliers
  807.    wt: 3:   Video Power Notation in Decimal Expansion
  808.    wt: 3:   Subtraction with J Conversions Example
  809.    wt: 3:   Subtraction Another Video Lesson
  810.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  811.    wt: 3:   5. How to add decimals C. Examples
  812.    wt: 3:   1. Explaining Addition Table
  813.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  814.    wt: 3:   Expression Evaluation how to show work
  815.    wt: 3:   7 Addition of Time Intervals
  816.    wt: 3:   3 Units and Lengths of Time
  817.    wt: 3:   1 Intro of Kids To Time Date Skills
  818.    wt: 3:   Example 4 with x function of y
  819.    wt: 3:   3 Two Chain Rule Method Exercises
  820.    wt: 3:   2 Indefinite Integrals Exercises
  821.    wt: 3:   1 Chain Rule in Reverse Integration Method
  822.    wt: 3:   A Related lessons in Volume 3
  823.    wt: 3:   4 Second derivative test exercise example
  824.    wt: 3:   2 Second derivative test prequel
  825.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  826.    wt: 3:   31 Derivatives of inverse functions
  827.    wt: 3:   18 Chain Rule Introduction
  828.    wt: 3:   14 sine and cosine derivatives 2nd step
  829.    wt: 3:   10 Power rule for negative integers
  830.    wt: 3:   8 Differentiation of polynomials
  831.    wt: 3:   6 Power rule from product rule
  832.    wt: 3:   11 Limits at infinity Three Examples
  833.    wt: 3:   10 Three one sided limits with infinite values
  834.    wt: 3:   6 Continuity at a point
  835.    wt: 3:   3 Decimal insights for limits continuity convergence
  836.    wt: 3:   2 Algebraic codification
  837.    wt: 3:   1 Numerical introduction
  838.    wt: 3:   F.5a Equicontinuity Theorems
  839.    wt: 3:   F.3 Intermediate Value Theorem
  840.    wt: 3:   E2 Algebraic Properties of Limits
  841.    wt: 3:   D2 Limits of Monotone Sequences
  842.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  843.    wt: 3:   C Triangle Inequalities
  844.    wt: 3:   Chapter 16. Velocity Approximation
  845.    wt: 3:   Chapter 15. Slope Approximation
  846.    wt: 3:   Chapter 13. Acceleration
  847.    wt: 3:   Chapter 11. Graphing Slope versus Position
  848.    wt: 3:   Chapter 10 Slopes and Units
  849.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  850.    wt: 3:   Postscript For Better Performance
  851.    wt: 3:   Appendix D. What to do in School and Why
  852.    wt: 3:   Chapter 31 Direct and Indirect Reason
  853.    wt: 3:   Chapter 30 Truth Tables
  854.    wt: 3:   Chapter 19. Functions and Sets
  855.    wt: 3:   Chapter 13. Second Reading Guide
  856.    wt: 3:   Postscript A Three Remarks
  857.    wt: 3:   Chapter 11 Elementary Instruction
  858.    wt: 3:   Chapter 7 Two Treatments of Geometry
  859.    wt: 3:   Chapter 4 Complex Numbers and Why Slopes
  860.    wt: 3:   Chapter 3 Algebra Difficulties
  861.    wt: 3:   Postscript D Reflections on Law of the Excluded Middle
  862.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  863.    wt: 3:   N Improving Marks on Tests and Finals
  864.    wt: 3:   H Jigsaw puzzles and problem solving
  865.    wt: 3:   C. Domino effect of being careful
  866.    wt: 3:   How to Build Skills and Confidence
  867.    wt: 3:   Chapter 6 More Algebra and Geometry
  868.    wt: 3:   Chapter 3 Algebra Starter Lessons
  869.    wt: 3:   Helping the Blind in Logic and Mathematics
  870.    wt: 3:   Systematic Algebra Skill Development Missing Links
  871.    wt: 3:   Road Safety Questions
  872.    wt: 2:   J LAMP Introduction Extrinsic Origins
  873.    wt: 2:   A Introduction Objectives
  874.    wt: 2:   Skills Chapter 4 Logic
  875.    wt: 2:   Ramblings Extrinsic numbers theory
  876.    wt: 2:   10 statistics
  877.    wt: 2:   9 combinatorics probability sets
  878.    wt: 2:   8 analytic geometry etc
  879.    wt: 2:   What is POMME
  880.    wt: 2:   site eurekas
  881.    wt: 2:   teacher certification
  882.    wt: 2:   modern education
  883.    wt: 2:   learning takes time
  884.    wt: 2:   mathematics in context
  885.    wt: 2:   three difficulties
  886.    wt: 2:   teaching tips
  887.    wt: 2:   What to Tell Students
  888.    wt: 2:   Lessening Algebra Difficulties
  889.    wt: 2:   the trouble with algebra
  890.    wt: 2:   05 13 OldSiteEntrancePage
  891.    wt: 2:   cultivating intelligence
  892.    wt: 2:   How to be a better instructor
  893.    wt: 2:   Motivation and Context Problem
  894.    wt: 2:   chapitre 04 09 Regles accidentelles
  895.    wt: 2:   chapitre 04 08 Limitations et benefices
  896.    wt: 2:   chapitre 04 06 engagements
  897.    wt: 2:   chapitre 04 00 Les regles d implication
  898.    wt: 2:   chapitre 01 00 Introduction
  899.    wt: 2:   logique deux enigme
  900.    wt: 2:   2 Energy Power Heat07
  901.    wt: 2:   H Series Circuit02
  902.    wt: 2:   F Unlike Resistors in Series
  903.    wt: 2:   E Kirchoffs Second Law
  904.    wt: 2:   D Kirchoff First Law
  905.    wt: 2:   A Circuit Elements
  906.    wt: 2:   Home Tutoring and Home Schooling
  907.    wt: 2:   7 Student Motivation
  908.    wt: 2:   1 Speaking Skills
  909.    wt: 2:   Ages 12 to 14 Geometry
  910.    wt: 2:   Ages 10 to 12 Geometry
  911.    wt: 2:   23 Inverse Functions
  912.    wt: 2:   10 Interval Notation
  913.    wt: 2:   7 Functions with finite domains
  914.    wt: 2:   11 Growth and Decay in Biology
  915.    wt: 2:   7 arcsin left inverse of sine Definition
  916.    wt: 2:   3 Left Inverse of cosine arccos definition
  917.    wt: 2:   2 cosine function more properties
  918.    wt: 2:   15 Dot and Cross Product
  919.    wt: 2:   8 Parallel Vectors
  920.    wt: 2:   2 Signed Coordinates
  921.    wt: 2:   1 Unsigned Coordinates
  922.    wt: 2:   4 graphing y=Asin(x c)
  923.    wt: 2:   3 graphing y=f(x c) plus K
  924.    wt: 2:   1 graphing y=f(x a)
  925.    wt: 2:   Straight Lines Intersection of
  926.    wt: 2:   C Straight Lines Slope from Coordinates
  927.    wt: 2:   B Straight Line Slope Scaling Properties More
  928.    wt: 2:   11 Straight Lines Graphing y=mx
  929.    wt: 2:   4 Tangent Function Properties
  930.    wt: 2:   17G Pythagorean Theorem Converse
  931.    wt: 2:   17F Law of cosines
  932.    wt: 2:   7 period of sine and cosine
  933.    wt: 2:   1 Unit Points Reflections Rotations
  934.    wt: 2:   Unit Circle Development of Trigonometry
  935.    wt: 2:   19 N th Roots of Unity
  936.    wt: 2:   18 Sixth Roots of Unity
  937.    wt: 2:   15 Pythagorean Theorem Converse
  938.    wt: 2:   14 Law of cosines
  939.    wt: 2:   8 Unit Circle Development of Trigonometry
  940.    wt: 2:   6 Field Properties of Complex Number
  941.    wt: 2:   4 Multiplication Properties
  942.    wt: 2:   7 Trignometric Ratios Unit Circle
  943.    wt: 2:   3 Trigonometric Ratios sine and cosine
  944.    wt: 2:   4 Similarity Definition with Coordinate
  945.    wt: 2:   3 Similarity by Design with coordinates
  946.    wt: 2:   2 Similarity By Design
  947.    wt: 2:   Four Simple Exercises
  948.    wt: 2:   6 Intersection of lines by solving linear systems
  949.    wt: 2:   5 Algebraic View of Slopes
  950.    wt: 2:   7 Complex Numbers Appetizer
  951.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  952.    wt: 2:   19 Right Triangle Similarity
  953.    wt: 2:   8 Isoceles Triangles
  954.    wt: 2:   7 Angle Side Angle
  955.    wt: 2:   2 Correspondence between Triangles
  956.    wt: 2:   1 Initial Concepts and Terms
  957.    wt: 2:   1 Length Measurement
  958.    wt: 2:   About Folder Contents
  959.    wt: 2:   19 Signed Multiples of Vectors
  960.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  961.    wt: 2:   3 Proportionality Examples
  962.    wt: 2:   2 Algebraic View
  963.    wt: 2:   5 Independent versus Dependent Variables
  964.    wt: 2:   4 Changing Letters
  965.    wt: 2:   1 Essentially One Unknown
  966.    wt: 2:   3 Four Examples
  967.    wt: 2:   9 Three Examples
  968.    wt: 2:   6 Three Examples
  969.    wt: 2:   5 Three Examples
  970.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  971.    wt: 2:   11 Volume of Sphere
  972.    wt: 2:   9 Volume of Cone
  973.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  974.    wt: 2:   8 Sets of Numbers
  975.    wt: 2:   3 Adding Words To Arithmetic
  976.    wt: 2:   About Folder Contents
  977.    wt: 2:   5 Square Roots with primes more still
  978.    wt: 2:   4 Square Roots with primes more
  979.    wt: 2:   13 GCD from given Prime Factorization
  980.    wt: 2:   5 Common Divisors 60 45 via Prime
  981.    wt: 2:   8 multiplying signed numbers
  982.    wt: 2:   6 adding signed numbers
  983.    wt: 2:   7 Converting or Changing Units
  984.    wt: 2:   4 Fractions with Units
  985.    wt: 2:   D Three Term Ratios
  986.    wt: 2:   20 Dividing Fractions the Why
  987.    wt: 2:   18 Efficient Ways to Multiply
  988.    wt: 2:   B Integer Long Division Multiple Choices
  989.    wt: 2:   7 Multiplication by Signs
  990.    wt: 2:   5 Zero Movement and Additive Inverses
  991.    wt: 2:   3 Adding Movements with same direction
  992.    wt: 2:   1 Integers as Coordinates
  993.    wt: 2:   3 video Primes and Composites from 9 times table
  994.    wt: 2:   9 Why Long Division Works Take II
  995.    wt: 2:   8 Correcting the Mistake
  996.    wt: 2:   5 Long Division Include Zeroes or not
  997.    wt: 2:   4 Division with 2 Digit Divsors
  998.    wt: 2:   1 Divsion Physical Examples
  999.    wt: 2:   2 One Digit Multipliers
  1000.    wt: 2:   4. How to add with decimals B with conversions
  1001.    wt: 2:   The 20 Times Table
  1002.    wt: 2:   About folder contents
  1003.    wt: 2:   013 Travel Time Tables
  1004.    wt: 2:   6 How long is a million seconds
  1005.    wt: 2:   Volume of Solid by Cross Sections Lesson
  1006.    wt: 2:   Example 2
  1007.    wt: 2:   Summary
  1008.    wt: 2:   15 sine and cosine derivatives 3rd step
  1009.    wt: 2:   13 sine and cosine derivatives 1st step
  1010.    wt: 2:   11 Quotient rule
  1011.    wt: 2:   9 Reciprocal rule
  1012.    wt: 2:   5 Product Rule
  1013.    wt: 2:   4 Sum Rule
  1014.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  1015.    wt: 2:   9 Limits Continuity and Composition
  1016.    wt: 2:   4 Numerical properties
  1017.    wt: 2:   G.3 Constant Difference Theorem Proof
  1018.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  1019.    wt: 2:   F.5b Extreme Value Theorem
  1020.    wt: 2:   F.2 Closed Range Theorem
  1021.    wt: 2:   E1 Error Control Inequalities
  1022.    wt: 2:   B3 Bolzano Weierstrass Theorem
  1023.    wt: 2:   A1. Introduction
  1024.    wt: 2:   Chapter 23 Links To Trigonometry
  1025.    wt: 2:   Chapter 8. Slope Interpretation
  1026.    wt: 2:   Chapter 7 Slopes and Velocity
  1027.    wt: 2:   Chapter 1.Introduction
  1028.    wt: 2:   Postscript More on Better Performance
  1029.    wt: 2:   Appendix C. How to Read
  1030.    wt: 2:   Appendix B. How To Learn
  1031.    wt: 2:   Chapter 16. Painless Theorem Proving
  1032.    wt: 2:   Chapter 11. Why Shorthand
  1033.    wt: 2:   Chapter 10 Transition
  1034.    wt: 2:   Chapter 8 Modern Instruction
  1035.    wt: 2:   Chapter 5 Four References
  1036.    wt: 2:   Chapter 1 Introduction
  1037.    wt: 2:   Postscript B More on Story Telling and Reason
  1038.    wt: 2:   Chapter 18 Sense and Knowledge
  1039.    wt: 2:   Chapter 2 Skill Development
  1040.    wt: 2:   Chapter 1 Introduction
  1041.    wt: 2:   Three Remarks
  1042.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  1043.    wt: 2:   S Adding words to algebra
  1044.    wt: 2:   H more Routine to non routine problem solving
  1045.    wt: 2:   A. Skill has to be seen to believed
  1046.    wt: 2:   Chapter 8 Skipped Topics and Why
  1047.    wt: 2:   Chapter 2 Why Sets
  1048.    wt: 2:   Chapter 1 Arithmetic
  1049.    wt: 1:   6 polynomials etc
  1050.    wt: 1:   4 algebra
  1051.    wt: 1:   which way to go
  1052.    wt: 1:   key notes and themes
  1053.    wt: 1:   Postscript 2007 01 10
  1054.    wt: 1:   Theory of Knowledge
  1055.    wt: 1:   chapitre 05 00 Deception
  1056.    wt: 1:   chapitre 04 01 Premiere enigme
  1057.    wt: 1:   4 Energy Power Heat09
  1058.    wt: 1:   3 Energy Power Heat08
  1059.    wt: 1:   1 Energy Power Heat06
  1060.    wt: 1:   B Energy Power02
  1061.    wt: 1:   A Energy Power01
  1062.    wt: 1:   1 Like resistors in series
  1063.    wt: 1:   G Series Circuit01
  1064.    wt: 1:   Ages 9 to 10
  1065.    wt: 1:   Ages 8 to 9
  1066.    wt: 1:   Ages 7 to 8
  1067.    wt: 1:   Ages 6 to 7
  1068.    wt: 1:   14 Surjections Injections Bijections
  1069.    wt: 1:   13 From one to one to many to one
  1070.    wt: 1:   9 Set theory term relation possible origins
  1071.    wt: 1:   1 cosine function properties
  1072.    wt: 1:   6 Vectors with Coordinates
  1073.    wt: 1:   1 Straight Lines Slope Concept
  1074.    wt: 1:   3 Addition Properties
  1075.    wt: 1:   12 Links Lessons elsewhere
  1076.    wt: 1:   5 Side Angle Side
  1077.    wt: 1:   E Long Division Methods more
  1078.    wt: 1:   D Long Division Methods
  1079.    wt: 1:   3 Fractions
  1080.    wt: 1:   2 Integers
  1081.    wt: 1:   More Exercises
  1082.    wt: 1:   Simple Exercises
  1083.    wt: 1:   10 One Example
  1084.    wt: 1:   8 One Example
  1085.    wt: 1:   7 Two Examples
  1086.    wt: 1:   4 Two Examples
  1087.    wt: 1:   3 Two Examples
  1088.    wt: 1:   6 Power Set Notation
  1089.    wt: 1:   3 Counting with Sets etc
  1090.    wt: 1:   10 dividing signed numbers
  1091.    wt: 1:   21 Working With Signs
  1092.    wt: 1:   19 Dividing Fractions How TO
  1093.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  1094.    wt: 1:   9 Multiplying Integers
  1095.    wt: 1:   4 Adding Movements wiht opposite directions
  1096.    wt: 1:   B Powers of Ten
  1097.    wt: 1:   3 More One Digit Multipliers
  1098.    wt: 1:   5 Conversion Arithmetic
  1099.    wt: 1:   Example 3
  1100.    wt: 1:   Example 1
  1101.    wt: 1:   3 Second derivative test
  1102.    wt: 1:   G.5 Motions With Bounded Velocities
  1103.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  1104.    wt: 1:   Chapter 5. Slope Sign Tests
  1105.    wt: 1:   Foreword
  1106.    wt: 1:   Foreword
  1107.    wt: 1:   Chapter 9 The Two Ends
  1108.    wt: 1:   Foreword
  1109.    wt: 1:   Postscript A Story Telling
  1110.    wt: 1:   Chapter 15 Objective Processes
  1111.    wt: 1:   Chapter 10 Responsibility
  1112.    wt: 1:   Chapter 5 Deception
  1113.    wt: 1:   Foreword
  1114.    wt: 1:   M Words to extend arithmetic
  1115.    wt: 1:   J. More on written work and showing skill
  1116.    wt: 1:   E. When and how to correct errors
  1117.    wt: 1:   B. Domino effect of errors
  1118.    wt: 1:   Implementation Notes
  1119.    wt: 1:   Which Way To Go
  1120.    wt: 15:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  1121.    wt: 12:   8 quadratics backward use of various formulas
  1122.    wt: 12:   Chapter 14. Forward and Backward Use of a Formula
  1123.    wt: 11:   22 sine of 22.5 degrees via half angle formulas
  1124.    wt: 11:   2 Groups of Three Place Value for Multidigit Decimals
  1125.    wt: 10:   2 Radian Measure Numerical Value of one degree
  1126.    wt: 10:   9 Circle Area and Perimeter Formula Backwards Forwards
  1127.    wt: 10:   9 Place Value Review Decimal form of Avogrados number included
  1128.    wt: 10:   Chapter 22 Contrapositive and Vacuously True Implications

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  1.    wt: 9:   J LAMP Introduction Extrinsic Origins
  2.    wt: 9:   A Introduction Objectives
  3.    wt: 9:   Skills Chapter 4 Logic
  4.    wt: 9:   Ramblings Extrinsic numbers theory
  5.    wt: 9:   6 polynomials etc
  6.    wt: 9:   4 algebra
  7.    wt: 9:   permissions for teachers
  8.    wt: 9:   activities for students
  9.    wt: 9:   links Education Resources online
  10.    wt: 9:   learning takes time
  11.    wt: 9:   five decades make a difference
  12.    wt: 9:   three difficulties
  13.    wt: 9:   teaching tips
  14.    wt: 9:   What to Tell Students
  15.    wt: 9:   05 13 OldSiteEntrancePage
  16.    wt: 9:   Different Kinds of Reasoning in maths
  17.    wt: 9:   chapitre 04 05 Implication versus suggestion
  18.    wt: 9:   chapitre 04 04 Parlons de la logique
  19.    wt: 9:   chapitre 03 A Propos Des Prochains Chapitre
  20.    wt: 9:   25 Mathematics Education Leaving A Good Impression
  21.    wt: 9:   Ages 12 to 14 Arithmetic
  22.    wt: 9:   2 Algebraic use of function notation
  23.    wt: 9:   10 quadratic exercises
  24.    wt: 9:   3 quadratics factoring by inspection
  25.    wt: 9:   Quadratics in 10 steps
  26.    wt: 9:   9 motivation for name arcsin
  27.    wt: 9:   6 Graph of arccos function
  28.    wt: 9:   5 Swapping Coordinates is a reflection
  29.    wt: 9:   12 From Applied To Pure Mathematics
  30.    wt: 9:   4 Resultant of a Sum of Movements
  31.    wt: 9:   Straight Lines Intersection of
  32.    wt: 9:   1 Straight Lines Slope Concept
  33.    wt: 9:   32 seven rows of pascals triangle
  34.    wt: 9:   19 Pythagorean Identity For sine and cosine functions
  35.    wt: 9:   13 Graph of tangent function many periods
  36.    wt: 9:   11 tangent function undefined when terminal side vertical
  37.    wt: 9:   2 Quadrant I reference Angles
  38.    wt: 9:   21 Logarithms Powers and Exponentials
  39.    wt: 9:   9 The complex number valued trig function cis
  40.    wt: 9:   7 Second Way to Calculate Products
  41.    wt: 9:   2 Complex Numbers made easier we hope
  42.    wt: 9:   1 Rectangular Polar Coordinates Review
  43.    wt: 9:   6 Trigonometry Sines of Supplementary Angles
  44.    wt: 9:   4 Trigonometric Ratios For Two Special Triangles
  45.    wt: 9:   11 Triangle Similarity Missing Side Problem
  46.    wt: 9:   6 Geometric Diagrams in Class
  47.    wt: 9:   4 Similarity Definition with Coordinate
  48.    wt: 9:   2 Similarity By Design
  49.    wt: 9:   10 Midpoint of [a b] and [b a]
  50.    wt: 9:   3 Slope product for perpendicular lines
  51.    wt: 9:   What is and is not here
  52.    wt: 9:   4 Side Side Side
  53.    wt: 9:   18 Geometrically Why Vector Addition Commutes
  54.    wt: 9:   16 Collinear Horizontal Arrows Vectors
  55.    wt: 9:   4 Location of Point in Decimal Addition
  56.    wt: 9:   E Long Division Methods more
  57.    wt: 9:   D Long Division Methods
  58.    wt: 9:   15 Real Number Division
  59.    wt: 9:   11 Real Number Addition
  60.    wt: 9:   10 Real Number Lengths and Signs
  61.    wt: 9:   7 Real Numbers as Line Cordinates
  62.    wt: 9:   6 Three Notions of What is a Variable
  63.    wt: 9:   arithmetic videos Real Player Format
  64.    wt: 9:   9 subtracting signed numbers
  65.    wt: 9:   7 negative and additive inverse
  66.    wt: 9:   5 lengths and signs of numbers
  67.    wt: 9:   4 signed coordinates for regions in space
  68.    wt: 9:   D Three Term Ratios
  69.    wt: 9:   21 Working With Signs
  70.    wt: 9:   19 Dividing Fractions How TO
  71.    wt: 9:   18 Efficient Ways to Multiply
  72.    wt: 9:   D Remainders Modulo 11 Pair Rule
  73.    wt: 9:   A Associative Law Theorectical Note
  74.    wt: 9:   13 Subtraction with Additive Inverse
  75.    wt: 9:   10 Integer Multiplication Formulas
  76.    wt: 9:   The 12 Times Table Visually
  77.    wt: 9:   7 Addition of Time Intervals
  78.    wt: 9:   3 Units and Lengths of Time
  79.    wt: 9:   1 Intro of Kids To Time Date Skills
  80.    wt: 9:   1 Chain Rule in Reverse Integration Method
  81.    wt: 9:   A Related lessons in Volume 3
  82.    wt: 9:   4 Second derivative test exercise example
  83.    wt: 9:   2 Second derivative test prequel
  84.    wt: 9:   10 Three one sided limits with infinite values
  85.    wt: 9:   6 Continuity at a point
  86.    wt: 9:   1 Numerical introduction
  87.    wt: 9:   G.3 Constant Difference Theorem Proof
  88.    wt: 9:   G.1 Differentiable Functions Rolles Theorem
  89.    wt: 9:   F.5b Extreme Value Theorem
  90.    wt: 9:   F.2 Closed Range Theorem
  91.    wt: 9:   E1 Error Control Inequalities
  92.    wt: 9:   B3 Bolzano Weierstrass Theorem
  93.    wt: 9:   B1 Pigeon Hole Principles from combinatorics
  94.    wt: 9:   A1. Introduction
  95.    wt: 9:   Postscript Pythagorean Theorem yet another proof
  96.    wt: 9:   Chapter 18. Slopes Areas Integration
  97.    wt: 9:   Chapter 4. More Slope Sign Analysis
  98.    wt: 9:   Chapter 3. Slope Sign Analysis
  99.    wt: 9:   Postscript For Better Performance
  100.    wt: 9:   Appendix D. What to do in School and Why
  101.    wt: 9:   Appendix B. How To Learn
  102.    wt: 9:   Chapter 31 Direct and Indirect Reason
  103.    wt: 9:   Chapter 30 Truth Tables
  104.    wt: 9:   Chapter 19. Functions and Sets
  105.    wt: 9:   Chapter 13. Second Reading Guide
  106.    wt: 9:   Chapter 10 Transition
  107.    wt: 9:   Chapter 8 Modern Instruction
  108.    wt: 9:   Chapter 5 Four References
  109.    wt: 9:   Chapter 1 Introduction
  110.    wt: 9:   Postscript A Story Telling
  111.    wt: 9:   Chapter 18 Sense and Knowledge
  112.    wt: 9:   Chapter 1 Introduction
  113.    wt: 9:   More Algebra and Slope based Calculus Preview
  114.    wt: 8:   site eurekas
  115.    wt: 8:   teacher certification
  116.    wt: 8:   modern education
  117.    wt: 8:   mathematics in context
  118.    wt: 8:   cultivating intelligence
  119.    wt: 8:   How to be a better instructor
  120.    wt: 8:   Motivation and Context Problem
  121.    wt: 8:   chapitre 12 00 les iles et division
  122.    wt: 8:   chapitre 04 07 RepetablesEtReproductibles
  123.    wt: 8:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  124.    wt: 8:   chapitre 04 02 Deuxieme enigme
  125.    wt: 8:   1 Conductance Resistance Duality01
  126.    wt: 8:   D Wire Resistance Calculation02
  127.    wt: 8:   B Wire Resistance Qualitative02
  128.    wt: 8:   A Wire Resistance Qualitative01
  129.    wt: 8:   23 Modularized Skill Development Modularized Rigor Take IV
  130.    wt: 8:   23 Modularized Skill Development Modularized Rigor Take III
  131.    wt: 8:   23 Modularized Skill Development Modularized Rigor Take II
  132.    wt: 8:   22 Student Centered Highschool Mathematics
  133.    wt: 8:   12 Goals and Objectives For Mathematics
  134.    wt: 8:   5 Patience Please for Yourself and Your Charges
  135.    wt: 8:   Ages 12 to 14 Geometry
  136.    wt: 8:   Ages 10 to 12 Arithmetic
  137.    wt: 8:   Ages 4 plus to 5 plus
  138.    wt: 8:   Ages 3 plus to 4 plus
  139.    wt: 8:   21 Graphs of functions given by Horizontal Line Method
  140.    wt: 8:   17 Function maxima minima and their location
  141.    wt: 8:   11 Function Domain Range Source and Targets
  142.    wt: 8:   5 Function notation for geometric transformations
  143.    wt: 8:   3 Formula or function graphing exercise
  144.    wt: 8:   Rewriting algebraic substitution as function substitutions
  145.    wt: 8:   8 arcsin left inverse of sine Graph
  146.    wt: 8:   4 possible motivation for term arccos
  147.    wt: 8:   A Global Time and Navigation
  148.    wt: 8:   31 basic secant cosecant cotangent trig identities
  149.    wt: 8:   16 Right Triangle Complementary Angle Relations
  150.    wt: 8:   14 cosine even and sine and tangent are odd
  151.    wt: 8:   10 Graphs of sines and cosines many periods
  152.    wt: 8:   5 sines and cosines for reference angle 60 degrees
  153.    wt: 8:   20 N th Roots of Complex Numbers
  154.    wt: 8:   Appetizer A Complex Number Applet
  155.    wt: 8:   8 Triangles Cascade Problem Solving
  156.    wt: 8:   3 Similarity by Design with coordinates
  157.    wt: 8:   9 Midpoint Coordinates Half Endpoint Sum
  158.    wt: 8:   8 Mid Point Formula
  159.    wt: 8:   7 Exercises to test skill and concept mastery
  160.    wt: 8:   A Signed Number Arithmetic Review
  161.    wt: 8:   24 Signed Numbers Arithmmetic Properties
  162.    wt: 8:   19 Signed Multiples of Vectors
  163.    wt: 8:   9 Division with Digits after Decimal Point
  164.    wt: 8:   7 Arithmetic with Infinite Decimal Expansions
  165.    wt: 8:   5 Fractions with Infinite Decimal Expansions
  166.    wt: 8:   1 Fractions with Finite Decimal Expansions
  167.    wt: 8:   9 Coordinates for Regions in Space
  168.    wt: 8:   6 Unsigned Real Numbers
  169.    wt: 8:   5 Rational Numbers More
  170.    wt: 8:   4 Rational Numbers
  171.    wt: 8:   7 Cautious or Safe Set Construction
  172.    wt: 8:   4 A Brief Story of numbers and algebra
  173.    wt: 8:   2 What is a Variable
  174.    wt: 8:   6 GCD from Prime
  175.    wt: 8:   8 multiplying signed numbers
  176.    wt: 8:   6 adding signed numbers
  177.    wt: 8:   12 Adding Integers More Examples
  178.    wt: 8:   Exact Arithmetic Wholes and Fractions
  179.    wt: 8:   Expression Evaluation how to show work
  180.    wt: 8:   013 Travel Time Tables
  181.    wt: 8:   6 How long is a million seconds
  182.    wt: 8:   3 Two Chain Rule Method Exercises
  183.    wt: 8:   2 Indefinite Integrals Exercises
  184.    wt: 8:   9 Limits Continuity and Composition
  185.    wt: 8:   4 Numerical properties
  186.    wt: 8:   G.5 Motions With Bounded Velocities
  187.    wt: 8:   F.4 Finite Covering Theorem
  188.    wt: 8:   Chapter 23 Links To Trigonometry
  189.    wt: 8:   Chapter 16. Velocity Approximation
  190.    wt: 8:   Chapter 15. Slope Approximation
  191.    wt: 8:   Chapter 13. Acceleration
  192.    wt: 8:   Chapter 11. Graphing Slope versus Position
  193.    wt: 8:   Chapter 10 Slopes and Units
  194.    wt: 8:   Chapter 6. Slopes and Vertical Shifts
  195.    wt: 8:   Postscript More on Better Performance
  196.    wt: 8:   Appendix C. How to Read
  197.    wt: 8:   Chapter 16. Painless Theorem Proving
  198.    wt: 8:   Chapter 11. Why Shorthand
  199.    wt: 8:   Chapter 9 The Two Ends
  200.    wt: 8:   Foreword
  201.    wt: 8:   Chapter 15 Objective Processes
  202.    wt: 8:   Chapter 10 Responsibility
  203.    wt: 8:   Chapter 5 Deception
  204.    wt: 8:   Foreword
  205.    wt: 8:   P Exact Arithmetic With Whole Numbers and Fractions
  206.    wt: 8:   N Mathematics Prepare for College Studies
  207.    wt: 8:   L Skills with take home value
  208.    wt: 8:   I. Logic and language skills
  209.    wt: 8:   D. Check work a must with a caution
  210.    wt: 8:   Ends Values Methods For Skill Development Framework Prequel
  211.    wt: 7:   why bother
  212.    wt: 7:   which way to go
  213.    wt: 7:   key notes and themes
  214.    wt: 7:   Postscript 2007 01 10
  215.    wt: 7:   Theory of Knowledge
  216.    wt: 7:   chapitre 04 09 Regles accidentelles
  217.    wt: 7:   chapitre 04 08 Limitations et benefices
  218.    wt: 7:   chapitre 04 06 engagements
  219.    wt: 7:   chapitre 04 00 Les regles d implication
  220.    wt: 7:   chapitre 01 00 Introduction
  221.    wt: 7:   Trois Notions qui menent a algebre
  222.    wt: 7:   F Wire Resistance Calculation04
  223.    wt: 7:   E Wire Resistance Calculation03
  224.    wt: 7:   C Wire Resistance Calculation01
  225.    wt: 7:   2 Unlike resistors in parallel01
  226.    wt: 7:   24 Standards For Skill Develoment Take II
  227.    wt: 7:   23 Modularized Skill Development Modularized Rigor
  228.    wt: 7:   Ages 10 to 12 Geometry
  229.    wt: 7:   20 Interchanging coordinates a reflection
  230.    wt: 7:   15 Sign analysis of functions
  231.    wt: 7:   12 Function Domain Recognition Exercises
  232.    wt: 7:   6 Set Existence Formation and Notation
  233.    wt: 7:   4 Function notation in and beyond mathematics
  234.    wt: 7:   5 Polynomials Long division Nonlinear divisor
  235.    wt: 7:   4 Polynomials Long division linear divisor
  236.    wt: 7:   3 Polynomials Multiplication Addition
  237.    wt: 7:   2 Column Multiplication Method
  238.    wt: 7:   1 Polynomials Distributive Law
  239.    wt: 7:   7 arcsin left inverse of sine Definition
  240.    wt: 7:   3 Left Inverse of cosine arccos definition
  241.    wt: 7:   2 cosine function more properties
  242.    wt: 7:   10 Parallelogram Addition Method
  243.    wt: 7:   5 Head To Tail Arrow Addition
  244.    wt: 7:   15 sine cosine Complementary Angle Relations
  245.    wt: 7:   9 Graphs of sine and cosine over one period
  246.    wt: 7:   8 period of tangent function
  247.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  248.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  249.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  250.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  251.    wt: 7:   17 Cube Roots of unity
  252.    wt: 7:   16 References and Originality Question
  253.    wt: 7:   7 Trignometric Ratios Unit Circle
  254.    wt: 7:   3 Trigonometric Ratios sine and cosine
  255.    wt: 7:   1 Angle Measurement with Degrees
  256.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  257.    wt: 7:   Four Simple Exercises
  258.    wt: 7:   12 Links Lessons elsewhere
  259.    wt: 7:   6 Intersection of lines by solving linear systems
  260.    wt: 7:   5 Algebraic View of Slopes
  261.    wt: 7:   6 Infinite Decimals Ending in 9 repeating
  262.    wt: 7:   More Exercises
  263.    wt: 7:   Simple Exercises
  264.    wt: 7:   9 Sets in Probability and Statistics
  265.    wt: 7:   1 Three Skills For Algebra
  266.    wt: 7:   10 dividing signed numbers
  267.    wt: 7:   8 Multiplication by Signed Numbers Integers
  268.    wt: 7:   The 20 Times Table
  269.    wt: 7:   5 Conversion Arithmetic
  270.    wt: 7:   3 Second derivative test
  271.    wt: 7:   Chapter 8. Slope Interpretation
  272.    wt: 7:   Chapter 7 Slopes and Velocity
  273.    wt: 7:   Chapter 1.Introduction
  274.    wt: 7:   Foreword
  275.    wt: 7:   R Why Learn Mathematics Skills
  276.    wt: 7:   O On Learning Mathematics and Science
  277.    wt: 7:   G. Written work formats for developing and showing skill
  278.    wt: 7:   F. The student teacher tutor feedback loop
  279.    wt: 7:   Mathematics Education References
  280.    wt: 7:   Mathematics Education References
  281.    wt: 7:   Multiple Ways to Improve Mathematics Skill Development
  282.    wt: 6:   website reviews
  283.    wt: 6:   site origins
  284.    wt: 6:   chapitre 05 00 Deception
  285.    wt: 6:   chapitre 04 01 Premiere enigme
  286.    wt: 6:   problemes algebre et arithmetique
  287.    wt: 6:   deux definitions pour variable
  288.    wt: 6:   3 Like resistors in parallel
  289.    wt: 6:   C Electromotive force conventional current02
  290.    wt: 6:   24 Standards For Skill Develoment
  291.    wt: 6:   17 Math Booklets for children and young teenagers
  292.    wt: 6:   10 Ends values for work study instruction
  293.    wt: 6:   6 Discipline Who is in Charge Conserving Authority
  294.    wt: 6:   2 Reading and Writing Skills
  295.    wt: 6:   Ages 9 to 10
  296.    wt: 6:   Ages 8 to 9
  297.    wt: 6:   Ages 7 to 8
  298.    wt: 6:   Ages 6 to 7
  299.    wt: 6:   26 Function definitions done and coming
  300.    wt: 6:   24 Monotoncity Injectivity and Inverse Functions
  301.    wt: 6:   8 Set view of relations and functions
  302.    wt: 6:   1 Geometric Introduction of Function Notation
  303.    wt: 6:   8 Notes for instructors or tutors
  304.    wt: 6:   1 cosine function properties
  305.    wt: 6:   9 Head to Tail Coordinate View
  306.    wt: 6:   3 Navigation with Arrows or Vectors
  307.    wt: 6:   2 Signed Coordinates
  308.    wt: 6:   Vector and Complex Number Applet
  309.    wt: 6:   17G Pythagorean Theorem Converse
  310.    wt: 6:   17F Law of cosines
  311.    wt: 6:   7 period of sine and cosine
  312.    wt: 6:   1 Unit Points Reflections Rotations
  313.    wt: 6:   Unit Circle Development of Trigonometry
  314.    wt: 6:   19 N th Roots of Unity
  315.    wt: 6:   18 Sixth Roots of Unity
  316.    wt: 6:   15 Pythagorean Theorem Converse
  317.    wt: 6:   14 Law of cosines
  318.    wt: 6:   8 Unit Circle Development of Trigonometry
  319.    wt: 6:   6 Field Properties of Complex Number
  320.    wt: 6:   4 Multiplication Properties
  321.    wt: 6:   3 Fractions
  322.    wt: 6:   2 Integers
  323.    wt: 6:   5 Product Builder Notation
  324.    wt: 6:   4 Subset Builder Notation
  325.    wt: 6:   2 Venn Diagrams
  326.    wt: 6:   B Integer Long Division Multiple Choices
  327.    wt: 6:   7 Multiplication by Signs
  328.    wt: 6:   5 Zero Movement and Additive Inverses
  329.    wt: 6:   3 Adding Movements with same direction
  330.    wt: 6:   1 Integers as Coordinates
  331.    wt: 6:   About folder contents
  332.    wt: 6:   Chapter 5. Slope Sign Tests
  333.    wt: 6:   Foreword
  334.    wt: 6:   Q How Logic and Proofs extend Show Work Practices
  335.    wt: 6:   N Improving Marks on Tests and Finals
  336.    wt: 6:   H Jigsaw puzzles and problem solving
  337.    wt: 6:   C. Domino effect of being careful
  338.    wt: 6:   How to Build Skills and Confidence
  339.    wt: 6:   Helping the Blind in Logic and Mathematics
  340.    wt: 6:   Systematic Algebra Skill Development Missing Links
  341.    wt: 5:   logique deux enigme
  342.    wt: 5:   2 Energy Power Heat07
  343.    wt: 5:   B Energy Power02
  344.    wt: 5:   B Electromotive force conventional current01
  345.    wt: 5:   19 Extending the Oral Dimension of Mathematics
  346.    wt: 5:   16 Secondary Mathematics Tips
  347.    wt: 5:   14 Multiplication and Times Tables
  348.    wt: 5:   13 Addition and Addition Tables
  349.    wt: 5:   11 Help and Defend Your Child or Teens Education
  350.    wt: 5:   4 Learning Takes Time and Effort
  351.    wt: 5:   23 Inverse Functions
  352.    wt: 5:   19 Horizontal line rule and method
  353.    wt: 5:   18 Vertical Line Rule and Method
  354.    wt: 5:   16 Increasing or decreasing on intervals
  355.    wt: 5:   Introduction Reading Guide
  356.    wt: 5:   15 Dot and Cross Product
  357.    wt: 5:   8 Parallel Vectors
  358.    wt: 5:   1 Unsigned Coordinates
  359.    wt: 5:   3 Addition Properties
  360.    wt: 5:   About Folder Contents
  361.    wt: 5:   10 Set View of Wordy Extensions To Arithmetic
  362.    wt: 5:   8 Sets of Numbers
  363.    wt: 5:   3 Adding Words To Arithmetic
  364.    wt: 5:   About Folder Contents
  365.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  366.    wt: 5:   9 Multiplying Integers
  367.    wt: 5:   4 Adding Movements wiht opposite directions
  368.    wt: 5:   1 Links to Online Resources Elsewhere Take 1
  369.    wt: 5:   S Adding words to algebra
  370.    wt: 5:   H more Routine to non routine problem solving
  371.    wt: 5:   B. Domino effect of errors
  372.    wt: 5:   A. Skill has to be seen to believed
  373.    wt: 5:   Mathematics Teacher Certification Best Practices
  374.    wt: 5:   Talking pdf files for online lessons a webvideo alternative
  375.    wt: 4:   4 Energy Power Heat09
  376.    wt: 4:   3 Energy Power Heat08
  377.    wt: 4:   1 Energy Power Heat06
  378.    wt: 4:   A Energy Power01
  379.    wt: 4:   H Series Circuit02
  380.    wt: 4:   F Unlike Resistors in Series
  381.    wt: 4:   E Kirchoffs Second Law
  382.    wt: 4:   D Kirchoff First Law
  383.    wt: 4:   A Circuit Elements
  384.    wt: 4:   18 Primary School Mathematics
  385.    wt: 4:   15 Counting For Parents
  386.    wt: 4:   9 Streaming by Student Cooperation
  387.    wt: 4:   8 The Effect of Negative Remarks
  388.    wt: 4:   3 Preparing for Science Studies
  389.    wt: 4:   10 Interval Notation
  390.    wt: 4:   7 Functions with finite domains
  391.    wt: 4:   6 Vectors with Coordinates
  392.    wt: 4:   Why Trigonometry the whyslopes view
  393.    wt: 4:   6 Power Set Notation
  394.    wt: 4:   3 Counting with Sets etc
  395.    wt: 4:   M Words to extend arithmetic
  396.    wt: 4:   J. More on written work and showing skill
  397.    wt: 4:   E. When and how to correct errors
  398.    wt: 4:   Implementation Notes
  399.    wt: 4:   Which Way To Go
  400.    wt: 4:   The Math Forum and Site Content
  401.    wt: 3:   liens
  402.    wt: 3:   problemes responses
  403.    wt: 3:   E Energy Power05
  404.    wt: 3:   D Energy Power04
  405.    wt: 3:   C Energy Power03
  406.    wt: 3:   1 Like resistors in series
  407.    wt: 3:   G Series Circuit01
  408.    wt: 3:   Home Tutoring and Home Schooling
  409.    wt: 3:   7 Student Motivation
  410.    wt: 3:   1 Speaking Skills
  411.    wt: 3:   14 Surjections Injections Bijections
  412.    wt: 3:   13 From one to one to many to one
  413.    wt: 3:   9 Set theory term relation possible origins
  414.    wt: 3:   7 Links Lessons Elsewhere
  415.    wt: 3:   13 Velocity Vectors in Physics
  416.    wt: 3:   11 Component Method
  417.    wt: 3:   1 Finite Sets
  418.    wt: 3:   Road Safety Questions
  419.    wt: 22:   2 Another Rectangle Area Formula Example
  420.    wt: 21:   2 Subtraction Easy Case Examples
  421.    wt: 21:   1 Comparison and Subtraction Easy Direct Cases
  422.    wt: 20:   8 Compound Interest Formula Evaluation
  423.    wt: 20:   6 Pythagorean Hypotenuse Calculation Example
  424.    wt: 20:   3 Triangle Area Formula Example
  425.    wt: 20:   Long Division forwards and backwards Example 2
  426.    wt: 20:   Appendix 2 Three Decimal Subtraction Methods
  427.    wt: 20:   8 Subtraction with Units of Measure
  428.    wt: 20:   7 Subtraction for Decimal Fractions with Exercises
  429.    wt: 20:   3 Harder Cases Convert to Compare and Subtract
  430.    wt: 20:   2 Groups of Three Place Value for Multidigit Decimals
  431.    wt: 20:   Example 1. Area Between x and x squared
  432.    wt: 19:   4 Circle Area Formula Example
  433.    wt: 19:   1 More and Less Than for Counts and Measures
  434.    wt: 19:   Long Division forwards and backwards Example 3
  435.    wt: 19:   Appendix 1 Decimals Comparison Method Take II
  436.    wt: 19:   9 22 Minute Subtraction Review Video
  437.    wt: 19:   6. Counting and adding units and mixed units
  438.    wt: 19:   Chapter 22 Contrapositive and Vacuously True Implications
  439.    wt: 18:   2 Radian Measure Numerical Value of one degree
  440.    wt: 18:   PS F Scalar Multiplication Distributes over Addition
  441.    wt: 18:   2 More and Less Than for Counts and Measures
  442.    wt: 18:   5 Gaussian Elimination for 3 unknowns 2nd example
  443.    wt: 18:   7 Compound Interest Formula Introduction
  444.    wt: 18:   5 Box Volume Formula Example
  445.    wt: 18:   Long Division forwards and backwards Example 1
  446.    wt: 18:   A Elementary Basis for Multiplication Methods
  447.    wt: 18:   Video Decimal Multiplication Geometric View Example 2
  448.    wt: 18:   Video Decimal Multiplication Geometric View Example 2
  449.    wt: 18:   Subtraction with J Conversions Example
  450.    wt: 18:   Subtraction Another Video Lesson
  451.    wt: 18:   6 Subtraction with Conversion Example with Exercises
  452.    wt: 18:   5 A Tip for Efficent Subtraction
  453.    wt: 18:   Appendix 1 Counting Revisited 15 minute video
  454.    wt: 18:   8 What skills and work habits to require
  455.    wt: 18:   7 Adding decimal fractions using decimal point
  456.    wt: 18:   2 Decimal Counting Practices
  457.    wt: 18:   9 Place Value Review Decimal form of Avogrados number included
  458.    wt: 18:   Example 2 volume of a cone
  459.    wt: 18:   Example 1 volume of a pyramid
  460.    wt: 18:   Area Between Crossing Curves Lesson Take 2
  461.    wt: 18:   Area Between Curves Lesson Take 2
  462.    wt: 18:   Chapter 14. Forward and Backward Use of a Formula
  463.    wt: 18:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  464.    wt: 17:   8 quadratics backward use of various formulas
  465.    wt: 17:   13 Pythagorean spatial distance formulas
  466.    wt: 17:   13 Naming Identifying Formulas with Words
  467.    wt: 17:   1 Written work formats for developing and showing skill
  468.    wt: 17:   3 Comparison of Negative Numbers
  469.    wt: 17:   2 More and Less Than with Unlike Signs
  470.    wt: 17:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  471.    wt: 17:   Video Power Notation in Decimal Expansion
  472.    wt: 17:   4 Subtraction with Conversions Borrows and Letter J
  473.    wt: 17:   3. How to add with decimals A sans conversions
  474.    wt: 17:   Area Between Crossing Curves Lesson Take 1
  475.    wt: 17:   Area Between Curves Lesson Take 1
  476.    wt: 17:   28 Chain Rule Preparation for a Proof
  477.    wt: 17:   Primary and Secondary Skills and Practices with Take Home Value
  478.    wt: 16:   5 Natural Logarithm Calculator Exercises
  479.    wt: 16:   2 Graphing y=Af(x) Vertical Scaling
  480.    wt: 16:   Parallel Lines and Parallel Transversals
  481.    wt: 16:   22 sine of 22.5 degrees via half angle formulas
  482.    wt: 16:   10 Pythagorean plane distance formula
  483.    wt: 16:   PS H Distributive Law For Complex Numbers
  484.    wt: 16:   PS B Parallelogram Construction Methods
  485.    wt: 16:   9 Circle Area and Perimeter Formula Backwards Forwards
  486.    wt: 16:   2 Computation Rules Evaluation
  487.    wt: 16:   3 Gaussian Elimination 3 unknowns first example
  488.    wt: 16:   3 GE III Equation Addition and Multiplication
  489.    wt: 16:   4 Four Examples Fractional Coefficients
  490.    wt: 16:   2 Three Examples
  491.    wt: 16:   1 Proper Equal Sign Usage
  492.    wt: 16:   10 Volume of Pyramid
  493.    wt: 16:   1 Squares and Square Roots Introduction
  494.    wt: 16:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  495.    wt: 16:   18 Remainder Arithmetic Rule of 9 for checking sums II
  496.    wt: 16:   5. How to add decimals C. Examples
  497.    wt: 16:   1. Explaining Addition Table
  498.    wt: 16:   11 Place Value SI Standard International way
  499.    wt: 16:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  500.    wt: 16:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  501.    wt: 16:   5 More on Groups of 3 Place Value in Decimal Fractions
  502.    wt: 16:   4 Groups of 3 Place Value in Decimal Fractions
  503.    wt: 16:   Example 4 with x function of y
  504.    wt: 16:   A Chain Rule Real Player video examples
  505.    wt: 16:   38 Formulas and derivatives for powers and roots
  506.    wt: 16:   27 Chain Rule sinusoidal outer inner functions EGS
  507.    wt: 16:   25 Chain Rule Animated Examples Continued
  508.    wt: 16:   G.2 Lipshitz Conditions Integration Calculus Reform
  509.    wt: 16:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  510.    wt: 16:   Chapter 29 Contrapositive and Vacuously True Implications
  511.    wt: 16:   Chapter 2 Implication Rules Forwards and Backwards
  512.    wt: 16:   Chapter 2 For and Against Mathematics
  513.    wt: 16:   Chapter 7 Calculus Previews and Calculus Lightly
  514.    wt: 15:   C LAMP Introduction Culture in Mathematics Education
  515.    wt: 15:   three goals for Mathematics Education
  516.    wt: 15:   8 Formulas for Fractional Exponents with Logarithms
  517.    wt: 15:   3 Natural Logarithms and Exponentials Basic Properties
  518.    wt: 15:   2 Square Root Simplification a prequel
  519.    wt: 15:   9 Summary Degrees to Radians and back
  520.    wt: 15:   Proportionality of Line Segments From Parallel Transversals
  521.    wt: 15:   Parallel Lines and Alternating Corresponding Angles
  522.    wt: 15:   Construction Methods and Criteria for Isometric and Similar Triangles
  523.    wt: 15:   6 Tangent Function Inclination Angle Take 2
  524.    wt: 15:   3 Straight Lines Slope as Tangent of Inclination Angle
  525.    wt: 15:   PS G Rotation Distributes over Addition
  526.    wt: 15:   PS E Multiplication with Polar Coordinates
  527.    wt: 15:   PS D Addition with Cartesian Coordinates
  528.    wt: 15:   3 Lengths and Areas on Maps and Plans
  529.    wt: 15:   4 Commutative Law Groups Counting Form
  530.    wt: 15:   4 Rectangle Area and Like Formulas Backwards
  531.    wt: 15:   2 Addition and Multiplication Axioms
  532.    wt: 15:   4 Comparison of Negative Numbers
  533.    wt: 15:   3 Geometric Formulas and Function Notation
  534.    wt: 15:   1 Formulas Dependence and Function Notation
  535.    wt: 15:   2 Essentially one exercises three with solution
  536.    wt: 15:   6 Algebraic Solution Example
  537.    wt: 15:   5 Algebraic Solutions Introduction
  538.    wt: 15:   12 Cone Cylinder Sphere Lesson Idea
  539.    wt: 15:   11 Volume of Sphere
  540.    wt: 15:   9 Volume of Cone
  541.    wt: 15:   4 Greater More Less Than Signs in General
  542.    wt: 15:   C Equality for Fractions and Two Term Ratios and Fractions
  543.    wt: 15:   8 Numerals Fractionals Quantals Take II
  544.    wt: 15:   A Decimals Modular and Remainder Arithmetic
  545.    wt: 15:   19 Remainder Arithmetic Rule of 9 for checking sums III
  546.    wt: 15:   17 Remainder Arithmetic Rule of 9 for checking sums I
  547.    wt: 15:   7 Calculator Usage Notes and Cautions
  548.    wt: 15:   Long Division Backwards more
  549.    wt: 15:   Long Division Backward
  550.    wt: 15:   C Counting Areas with Powers of Ten
  551.    wt: 15:   6 Multiplication Commutes Order Not Important
  552.    wt: 15:   5 Decimal Fraction Multiplication
  553.    wt: 15:   4. How to add with decimals B with conversions
  554.    wt: 15:   3 More on Groups of 3 Multi Digit Place Value
  555.    wt: 15:   Volume of Solid by Cross Sections Lesson
  556.    wt: 15:   Example 3
  557.    wt: 15:   Example 2
  558.    wt: 15:   26 Chain Rule Recognising outer inner functions
  559.    wt: 15:   24 Chain Rule Animated Examples
  560.    wt: 15:   22 Chain Rule for polynomials
  561.    wt: 15:   16 Derivatives of reciprocals of sine and cosine
  562.    wt: 15:   G.1 First Fundamental Theorem of Calculus
  563.    wt: 15:   Chapter 12 Islands and Divisions of Knowledge
  564.    wt: 15:   Chapter 4 Implication Rules Forwards and Backwards
  565.    wt: 15:   Appendix A Calculus with Proofs for Keen or Gifted
  566.    wt: 15:   6 Measuring via counting or arithmetic the role of fractions
  567.    wt: 15:   2 Identifying Size and Position Place and Spatial Sense
  568.    wt: 14:   B LAMP Introduction Curriculum Development Standards
  569.    wt: 14:   9 Formulas for Real Exponents with Logarithms
  570.    wt: 14:   7 Formulas for Roots with Logarithms Derivation
  571.    wt: 14:   6 Formulas for Even and Odd Roots with Logarithms
  572.    wt: 14:   8 Radian Measures of Common Angles
  573.    wt: 14:   7 Radian Measures in special Triangles
  574.    wt: 14:   Parallel Lines and Interior Angles
  575.    wt: 14:   8 Straight Lines Equation for vertical
  576.    wt: 14:   7 Tangent Function is odd on this domain
  577.    wt: 14:   2 Straight Lines Slopes As Rise Over Run
  578.    wt: 14:   29 secant cosecant and cotangent for acute angles
  579.    wt: 14:   5 Cartesian Addition and Translation
  580.    wt: 14:   21 Parallelograms
  581.    wt: 14:   12 Side Angle Side Failure
  582.    wt: 14:   6 Ruler and compass Angle Bisection
  583.    wt: 14:   8 More Use of Maps Not Drawn to Scale
  584.    wt: 14:   4 Angles on Maps Plans drawn to scale
  585.    wt: 14:   B Decimal Comparison and Subtraction
  586.    wt: 14:   2 Combing Counts Addition Skills and Principles
  587.    wt: 14:   5 Triangle Area Formula Backwards
  588.    wt: 14:   6 Equations and Systems Equivalent or Implied
  589.    wt: 14:   4 Subtraction and Division Axioms
  590.    wt: 14:   1 Equivalent Computation Rules
  591.    wt: 14:   1 Real Numbers Comparison
  592.    wt: 14:   2 GE II Comparison
  593.    wt: 14:   1 GE Substitution four examples
  594.    wt: 14:   4 Solving a triangular system exercise
  595.    wt: 14:   3 Four Examples
  596.    wt: 14:   2 Three Examples
  597.    wt: 14:   3 Properties of Square Roots with example
  598.    wt: 14:   16 GCD and LCM of 650 225 via Prime
  599.    wt: 14:   5 Counting with Tables Trees Product Rule Take II
  600.    wt: 14:   5 Reciprocals and Division for Fractions with Units
  601.    wt: 14:   7 Numerals Fractionals Quantals
  602.    wt: 14:   27 Divisibility by 2 3 6 5 9 10 Example
  603.    wt: 14:   25 Divisibility Tests for 2 3 5 9 10 Example
  604.    wt: 14:   23 Remainder Arithmetic Modulo 2
  605.    wt: 14:   22 Remainder Arithmetic Modulo 3 more
  606.    wt: 14:   16 Remainder Arithmetic Modulo 9 Example 2
  607.    wt: 14:   12 Remainder Arithmetic Modulo 10 Example
  608.    wt: 14:   8 Remainder Arithmetic Morulo 5 Examples II
  609.    wt: 14:   4 Remainder Arithmetic Modulo 10 in general
  610.    wt: 14:   2 Remainder Arithmetic Modulo 10 more
  611.    wt: 14:   20 Uniqueness of Prime Factorization
  612.    wt: 14:   15 video Factors of 20 using Prime Factorization
  613.    wt: 14:   10 video Prime Factorization upto 23 squared
  614.    wt: 14:   5 Prime Factorization and a Square Rule
  615.    wt: 14:   Division with Counts and Length
  616.    wt: 14:   12 Why Long Division Works Take III
  617.    wt: 14:   7 Long Divison Mistake Catching
  618.    wt: 14:   2 Division with Single Digit Divisors
  619.    wt: 14:   D Decimal Multiplication Methods Derived
  620.    wt: 14:   4 Two and Three Digit Multipliers
  621.    wt: 14:   2 One Digit Multipliers
  622.    wt: 14:   10 Names for Big Numbers and Powers of Ten Expansion
  623.    wt: 14:   Example 1
  624.    wt: 14:   Summary
  625.    wt: 14:   33 Chain Rule Real Player video examples
  626.    wt: 14:   30Chain Rule A Proof
  627.    wt: 14:   29 Chain Rule Optional Reading
  628.    wt: 14:   21 Chain Rule for powers
  629.    wt: 14:   20 Chain Rule for Pulley Systems
  630.    wt: 14:   19 Chain Rule for linear functions
  631.    wt: 14:   17 Derivatives of quotients of sine and cosine
  632.    wt: 14:   7 Animated Differentiation Examples
  633.    wt: 14:   Chapter 25. Mathematical Induction Examples
  634.    wt: 14:   Chapter 22. Geometric Sums and Sequences
  635.    wt: 14:   Chapter 16 Origins and Limitations of Rules and Patterns
  636.    wt: 14:   Chapter 14 Deductive and Empirical Views of Mathematics
  637.    wt: 14:   5 Interpreting and Drawing Maps and Plans.
  638.    wt: 14:   4 Money Matters Saving Earning Buying Selling and Budgets
  639.    wt: 13:   Applied Maths Program14092009 POMME variant
  640.    wt: 13:   04 29 New Mathematics Curriculum
  641.    wt: 13:   02 20 mathematics education references
  642.    wt: 13:   three aims for mathematics students
  643.    wt: 13:   need for a mixed mathematics curriculum
  644.    wt: 13:   Prequel In For A Penny In For A Pound
  645.    wt: 13:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  646.    wt: 13:   sign monoticity analysis example 2
  647.    wt: 13:   1 Calculator Starter Exercises
  648.    wt: 13:   4 Circle Sector Area proportional to Central Angle
  649.    wt: 13:   4 graphing y=Asin(x c)
  650.    wt: 13:   3 graphing y=f(x c) plus K
  651.    wt: 13:   1 graphing y=f(x a)
  652.    wt: 13:   SAS Method For Isometric Or Proportional Triangle Construction
  653.    wt: 13:   14 Straight Lines Equations General Case
  654.    wt: 13:   26 Formulas for products of sines and cosines
  655.    wt: 13:   12 cis formulas for sine cosines and tangent
  656.    wt: 13:   13 Navigation Location from Angles to 2 Landmarks
  657.    wt: 13:   10 Similarity of Triangles Equivalent of Two Criteria
  658.    wt: 13:   9 Similarity of Triangles Usual Criteria
  659.    wt: 13:   12 Spatial Coordinates
  660.    wt: 13:   9 Pythagorean Theorem Chinese Square Proof
  661.    wt: 13:   6 Polar Multiplication and Rotation
  662.    wt: 13:   2 Cartesian Coordinates with signs
  663.    wt: 13:   PS C Similarity Use Recognize it in Trigonometry
  664.    wt: 13:   PS A Kite Construction Methods
  665.    wt: 13:   16 Angles Subtended By Chords and Diameters
  666.    wt: 13:   15 Triangle Angle Sum is 180 degrees
  667.    wt: 13:   14 Parallel Lines Postulate
  668.    wt: 13:   13 Angle Side Angle Failure
  669.    wt: 13:   9 Construction of a right bisector
  670.    wt: 13:   3 Isometry of Triangles Congruence
  671.    wt: 13:   A Measurement with Ruler Proper Use
  672.    wt: 13:   5 Drawing to Scale Avoids Angle Distortions
  673.    wt: 13:   2 Measuring Area Directly
  674.    wt: 13:   6 Column Methods for Decimal Multiplication
  675.    wt: 13:   5 Distributive Law for Whole Numbers
  676.    wt: 13:   1 Decimals Modular and Remainder Arithmetic
  677.    wt: 13:   5 Proportionality in Equivalent Fractions
  678.    wt: 13:   4 Rates Ratios and Proporitionality
  679.    wt: 13:   8 Pythagorean Relation Forwards Backwards
  680.    wt: 13:   5 Greater More Less Than Signs in General
  681.    wt: 13:   3 More and Less Than with Unlike Signs
  682.    wt: 13:   4 GE III Animated Examples
  683.    wt: 13:   3 Solving triangular system example
  684.    wt: 13:   Formula Usage Show Work Format
  685.    wt: 13:   2 Square Roots with Prime
  686.    wt: 13:   14 GCD of 650 110 via Primes LCM via Product Rule
  687.    wt: 13:   11 GCD 2700 288 via Euclid Algorithm
  688.    wt: 13:   10 Euclid Algorithm with 129 125 and with 45 14
  689.    wt: 13:   9 GCD of 360 110 via Primes and Euclid Algorithm
  690.    wt: 13:   2 Least Common Multiple LCM intro via list method
  691.    wt: 13:   4 Counting with Trees Product Rule Take I
  692.    wt: 13:   2 Counting with Tables and Trees I
  693.    wt: 13:   3 signed coordinates for maps and planes
  694.    wt: 13:   2 signed and unsigned numbers as coordinates
  695.    wt: 13:   2 Equality and Units
  696.    wt: 13:   1 Addition and Subtraction with Units
  697.    wt: 13:   21 Reciprocals for Fractions and Wholes
  698.    wt: 13:   16 Addition Subtraction Comparision Compared
  699.    wt: 13:   15 Adding and Subtracting with Unlike Denominators
  700.    wt: 13:   10 Simplification of Fractions and Mixed Numerals
  701.    wt: 13:   2 Unit Fraction Multiplication
  702.    wt: 13:   Fraction Operations by Raising Terms A Simple Innovation
  703.    wt: 13:   26 Divisibility by 2 3 5 Example
  704.    wt: 13:   24 Divisibility Tests for 2 3 5 9 10
  705.    wt: 13:   21 Remainder Arithmetic Modulo 3
  706.    wt: 13:   15 Remainder Arithmetic Modulo 9 Example
  707.    wt: 13:   14 Remainder Arithmetic Modulo 9 Example
  708.    wt: 13:   13 Remainder Arithmetic Modulo 5 Example
  709.    wt: 13:   11 Remainder Arithmetic Long Division by 5 Quickly more
  710.    wt: 13:   10 Remainder Arithmetic Long Division by 5 Quickly
  711.    wt: 13:   7 Remainder Arithmetic Modulo 5 Examples I
  712.    wt: 13:   5 Remainder Arithmetic Modulo 5
  713.    wt: 13:   3 Remainder Arithmetic Modulos 10 more still
  714.    wt: 13:   1 Remainder Arithmetic Modulo 10
  715.    wt: 13:   9 video Prime Factorization upto 19 squared
  716.    wt: 13:   6 Sieve of Eratosthenes and Square Rule
  717.    wt: 13:   11 Another Single Digit Divisor Example
  718.    wt: 13:   10 Division by Five Long and Short Ways
  719.    wt: 13:   6 Why Decimal Long Division Methods Works Take I
  720.    wt: 13:   3 Division Single Digit Divisor Example
  721.    wt: 13:   1 Place Value in Three Digit Whole Numbers
  722.    wt: 13:   9 Comparison and Subtraction of Time Intervals
  723.    wt: 13:   36 Cube root derivative animated
  724.    wt: 13:   34 Derivative of exponential function
  725.    wt: 13:   23 Chain Rule in general
  726.    wt: 13:   12 Quotient rule examples
  727.    wt: 13:   10 Power rule for negative integers
  728.    wt: 13:   8 Differentiation of polynomials
  729.    wt: 13:   6 Power rule from product rule
  730.    wt: 13:   4 Sum Rule
  731.    wt: 13:   3 Motivation for Limit Definition Take 2
  732.    wt: 13:   2 Motivation for Limit Definition Take 1
  733.    wt: 13:   7 Evaluation by immediate or delayed substitution
  734.    wt: 13:   G.2 Differentiable Functions Mean Value Theorem
  735.    wt: 13:   Chapter 26 What is in chapters 27 to 31
  736.    wt: 13:   Chapter 12. Shorthand Usage Guide
  737.    wt: 13:   Chapter 9 Talking about Numbers or Quantities
  738.    wt: 13:   Chapter 7 Prep for Calculus Arithmetic Exercises
  739.    wt: 13:   Chapter 6 Rule Based Reason in Mathematics
  740.    wt: 13:   Postscript C Consistency as a Tool for Reason
  741.    wt: 13:   Chapter 20 Shorthand Symbols as Pronouns
  742.    wt: 13:   Chapter 19 What is in chapters 20 to 24
  743.    wt: 13:   Chapter 8 Change of Language
  744.    wt: 13:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  745.    wt: 13:   7 Games and Activities for Instruction
  746.    wt: 13:   1 From Number Recognition and Counting to Arithmetic A
  747.    wt: 13:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  748.    wt: 12:   Appendix 1 primary and preschool mathematic
  749.    wt: 12:   Skills Chapter 5 Calculus
  750.    wt: 12:   7 logic review and decimals an odd combination
  751.    wt: 12:   2 arithmetic with signed numbers
  752.    wt: 12:   mathematics curriculum shifts
  753.    wt: 12:   standards for course material
  754.    wt: 12:   three kinds of reason in mathematics
  755.    wt: 12:   Leaner mathematics curriculum
  756.    wt: 12:   education an empirical art
  757.    wt: 12:   fairness and inductive principles for instruction
  758.    wt: 12:   chapitre 07 00 Des chaines plus longues de la raison
  759.    wt: 12:   chapitre 04 10 Etapes pour une meilleur raison
  760.    wt: 12:   Ages 12 to 14 Skills with take home value
  761.    wt: 12:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  762.    wt: 12:   25 Absolute Value greatest integer and saw tooth functions
  763.    wt: 12:   7 quadratic formulla derivation
  764.    wt: 12:   6 quadratics numerical approach
  765.    wt: 12:   6 Radian Measure to Degrees
  766.    wt: 12:   5 Degrees to Radian Measure
  767.    wt: 12:   3 Circle Arclengh Proportional to Central Angle
  768.    wt: 12:   1 Degrees and Radians Introduction
  769.    wt: 12:   14 Why Scalar Multiplication Distributes Physical Argument
  770.    wt: 12:   Triangle Angles Sum To 180 Degrees
  771.    wt: 12:   Analytic View of Triangle Construction or Line Instersection More
  772.    wt: 12:   Straight Lines ASA Intersection Study More
  773.    wt: 12:   D Straight Lines Slope from Coordinates Examples
  774.    wt: 12:   A Straight Line Slope Scaling Properties
  775.    wt: 12:   13 Straight Lines Finding Equations from 2 points
  776.    wt: 12:   12 Straight Lines Graphing mx plus b
  777.    wt: 12:   10 Straight Lines through Origin Equations More
  778.    wt: 12:   9 Straight Lines through Origin Equations
  779.    wt: 12:   5 Tangent Function Graph
  780.    wt: 12:   33 sines and cosines of 2A 3A 4A 5A
  781.    wt: 12:   27 Logarithmic use of products of sines and cosines
  782.    wt: 12:   25 tangent double angle formula Slope connection
  783.    wt: 12:   23 sine and cosine of 180 plus 22.5 degrees
  784.    wt: 12:   21 sine and cosine Half Angle Formulas
  785.    wt: 12:   18 sum of sinusoidal waves as a single wave
  786.    wt: 12:   2 Similar Triangles Equality of Corresponding Side Ratios
  787.    wt: 12:   5 Similarity of Circles Squares and Rectangles
  788.    wt: 12:   3 Rectangular Coordinates Review
  789.    wt: 12:   1 Cartesian Coordinates sans signs
  790.    wt: 12:   18 Triangle Similarity Take 1
  791.    wt: 12:   17 Right Bisectors of Triangle Sides
  792.    wt: 12:   11 Triangle Construction Fails
  793.    wt: 12:   10 Dropping a perpendicular to line
  794.    wt: 12:   2 Correspondence between Triangles
  795.    wt: 12:   Short Course on Euclidean Geometry
  796.    wt: 12:   6 Figuring with Maps Not to Scale
  797.    wt: 12:   21 Addition of Multiples of a Single Vector
  798.    wt: 12:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  799.    wt: 12:   15 Head to Tails in place Addition Associative
  800.    wt: 12:   14 Vector Head to Tail Sums and Resultants
  801.    wt: 12:   8 Division and Mulplication of Compound Fractions
  802.    wt: 12:   C Three Decimal Subtraction Methods
  803.    wt: 12:   A Decimal Addition Columm Methods
  804.    wt: 12:   8 Column Multiplication Methods in General
  805.    wt: 12:   7 Decimals Multiplication Methods Examples
  806.    wt: 12:   3 Multiplicative Counting Skills Principles
  807.    wt: 12:   5 Areas of Rectangles Revisited
  808.    wt: 12:   2 Algebraic View
  809.    wt: 12:   1 What is Proportionality
  810.    wt: 12:   6 Compound Interest Forward and Backwards
  811.    wt: 12:   2 Linear Equation Literal Solution
  812.    wt: 12:   5 Equality in Algebra
  813.    wt: 12:   3 Product Axioms Two Forms
  814.    wt: 12:   9 Three Examples
  815.    wt: 12:   6 Three Examples
  816.    wt: 12:   5 Three Examples
  817.    wt: 12:   Using Letters for Physical Quantities
  818.    wt: 12:   5 Square Roots with primes more still
  819.    wt: 12:   4 Square Roots with primes more
  820.    wt: 12:   8 GCD from Euclidean Algorithm
  821.    wt: 12:   1 Least Common Multiples LCM Introduction
  822.    wt: 12:   12 GCD 2700 288 via Prime
  823.    wt: 12:   3 Counting with Tables and Trees II
  824.    wt: 12:   1 Counting and Counting Methods I
  825.    wt: 12:   6 Simplification of Fractions with Units
  826.    wt: 12:   3 Multiplying Units and Numbers
  827.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  828.    wt: 12:   22 Complex Compound Fractions
  829.    wt: 12:   17 Efficient Ways to Add and Subtract
  830.    wt: 12:   14 Adding and Subtracting with Like Denominators
  831.    wt: 12:   6 Multiplication Algebraically Take II
  832.    wt: 12:   3 Unit fraction of a fraction
  833.    wt: 12:   1 What is a fraction Take II
  834.    wt: 12:   9 Remainder Arithmetic Divisibility by 5
  835.    wt: 12:   6 Remainder Arithmetic Modulo 5 Propertie
  836.    wt: 12:   19 video Prime Factorization Unique
  837.    wt: 12:   18 video Count Factors given Prime Factorization
  838.    wt: 12:   14 video Factors of 24 Take II
  839.    wt: 12:   13 video Factors of 24 using prime
  840.    wt: 12:   1 video how Products are bigger than factor
  841.    wt: 12:   9 Why Long Division Works Take II
  842.    wt: 12:   8 Correcting the Mistake
  843.    wt: 12:   5 Long Division Include Zeroes or not
  844.    wt: 12:   4 Division with 2 Digit Divsors
  845.    wt: 12:   1 Divsion Physical Examples
  846.    wt: 12:   B Powers of Ten
  847.    wt: 12:   3 More One Digit Multipliers
  848.    wt: 12:   8 Addition of Time Intervals via subtotaling
  849.    wt: 12:   31 Derivatives of inverse functions
  850.    wt: 12:   18 Chain Rule Introduction
  851.    wt: 12:   14 sine and cosine derivatives 2nd step
  852.    wt: 12:   11 Quotient rule
  853.    wt: 12:   9 Reciprocal rule
  854.    wt: 12:   5 Product Rule
  855.    wt: 12:   12 Limits with Parameters and Derivatives Take I
  856.    wt: 12:   5 Jumps and absence of unlimited error control
  857.    wt: 12:   G.6 Bounded Derivatives implies Lipshitz Continuity
  858.    wt: 12:   F.1 What Functions are Continuous
  859.    wt: 12:   PostScript For and Against Decimal Perspectives
  860.    wt: 12:   Chapter 19. Exponentials and Natural Logarithms
  861.    wt: 12:   Chapter 9 About First Courses in Calculus
  862.    wt: 12:   Appendix A. Reading Guide For Next Appendices
  863.    wt: 12:   Chapter 27 Shorthand Symbols as Pronouns
  864.    wt: 12:   Chapter 23. Notation For Sums
  865.    wt: 12:   Chapter 20. Degrees and Radians
  866.    wt: 12:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  867.    wt: 12:   Chapter 10 Describing and Changing Calculations
  868.    wt: 12:   Chapter 6 Change of Language
  869.    wt: 12:   Chapter 5 Islands and Divisions of Knowledge
  870.    wt: 12:   Chapter 12 Four Phases
  871.    wt: 12:   Chapter 24 Direct and Indirect Reason
  872.    wt: 12:   Chapter 23 Truth Tables
  873.    wt: 12:   Chapter 21 Occurrence Tables
  874.    wt: 12:   Chapter 17 Objective Ways Trial and Error Discovery
  875.    wt: 12:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  876.    wt: 12:   V Reasons and Motivations for Logic and Mathematics
  877.    wt: 12:   Chapter 4 Logic for Reading Writing and Geometry etc
  878.    wt: 12:   3 Telling Tracking Time Temporal and More Place Sense
  879.    wt: 12:   1 From Number Recognition and Counting to Arithmetic B
  880.    wt: 12:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  881.    wt: 12:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  882.    wt: 11:   Appendix 2 primary school Arithmetic 01
  883.    wt: 11:   K LAMP Musings Science Education
  884.    wt: 11:   I LAMP Introduction Study Habits
  885.    wt: 11:   H LAMP Introduction Instructional Concepts
  886.    wt: 11:   F LAMP Introduction Prerequisites
  887.    wt: 11:   E LAMP Introduction Modern Mathematics
  888.    wt: 11:   Ramblings Introduction Algebra Essay
  889.    wt: 11:   Skills Chapter 2 Geometry
  890.    wt: 11:   11 pure mathematics
  891.    wt: 11:   5 logarithms and exponentials etc
  892.    wt: 11:   3 Euclidean Geometry Leanly
  893.    wt: 11:   1 arithmetic with unsigned numbers
  894.    wt: 11:   Mathematics Education Professors
  895.    wt: 11:   Maps Plans Drawings
  896.    wt: 11:   Secondary Three Mathematics
  897.    wt: 11:   teaching tutoring algebraic reason
  898.    wt: 11:   04 25 when to stop or suspend mathemat
  899.    wt: 11:   02 21 words for teachers
  900.    wt: 11:   Education in mathematics science and technology
  901.    wt: 11:   Four ways to improve education reform
  902.    wt: 11:   2 Conductance Resistance Duality02
  903.    wt: 11:   27 Graduated Correction and Penalties for Young Offenders
  904.    wt: 11:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  905.    wt: 11:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  906.    wt: 11:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  907.    wt: 11:   sign monoticity analysis example 4
  908.    wt: 11:   sign monoticity analysis example 3
  909.    wt: 11:   sign monoticity analysis example 1
  910.    wt: 11:   22 Square Root function graphically
  911.    wt: 11:   A Quadratics Summary
  912.    wt: 11:   9 quadratics physical and further context
  913.    wt: 11:   4 quadratics difference of two squares
  914.    wt: 11:   2 quadratics graphing in general
  915.    wt: 11:   10 Exponential Growth and Decay Models
  916.    wt: 11:   6 Polynomial Operations and Equivalent Computation Rules
  917.    wt: 11:   16 cotangent function Definition Graph and Inverse
  918.    wt: 11:   15 cosecant function Definition Graph and Inverse
  919.    wt: 11:   12 motivation for term arctan
  920.    wt: 11:   11 arctan left inverse of tangent Graph
  921.    wt: 11:   Straight Lines ASA Intersection Study
  922.    wt: 11:   C Straight Lines Slope from Coordinates
  923.    wt: 11:   B Straight Line Slope Scaling Properties More
  924.    wt: 11:   11 Straight Lines Graphing y=mx
  925.    wt: 11:   4 Tangent Function Properties
  926.    wt: 11:   17 tangent function angle sum formulas
  927.    wt: 11:   35 sines and cosines of 2A 3A 4A 5A
  928.    wt: 11:   34 sines and cosines of 2A 3A 4A 5A
  929.    wt: 11:   30 unit circle calculation of six trigonometric functions
  930.    wt: 11:   24 tangent Angle Difference Formula
  931.    wt: 11:   20 sine and cosine Double Angle Formulas
  932.    wt: 11:   17D cis formulas for sine cosines and tangent
  933.    wt: 11:   17B sine cosine Angle Sum Formulas via cis
  934.    wt: 11:   10 sine cosine Angle Sum Formulas via cis
  935.    wt: 11:   5 An Easy Proof of the Distributive Law
  936.    wt: 11:   5 Trigonometric Ratios For Tangent and Special Triangles
  937.    wt: 11:   7 Translations Rotations Reflections Dilatations
  938.    wt: 11:   2 point slope equation for a line
  939.    wt: 11:   1 Numerical view of lines and their equations
  940.    wt: 11:   11 Triangle Inequality
  941.    wt: 11:   8 Distance Between Points on a Line
  942.    wt: 11:   4 Polar Coordinates to and from
  943.    wt: 11:   Euclidean Geometry Elsewhere LINKS
  944.    wt: 11:   19 Right Triangle Similarity
  945.    wt: 11:   8 Isoceles Triangles
  946.    wt: 11:   7 Angle Side Angle
  947.    wt: 11:   1 Initial Concepts and Terms
  948.    wt: 11:   A Modular and Remainder Arithmetic
  949.    wt: 11:   25 Mid way Convergence to Axiomatic Approach
  950.    wt: 11:   22 Multiplication of Signed Numbers
  951.    wt: 11:   1 The Counting Origins of Numbers
  952.    wt: 11:   4 Fraction Operations Axiomatic Development
  953.    wt: 11:   3 Inequalities Algebraically
  954.    wt: 11:   2 Fraction Operations Physical Development
  955.    wt: 11:   3 Proportionality Examples
  956.    wt: 11:   7 Pythagorean Theorem Chinese Square Proof
  957.    wt: 11:   3 Linear Equation Literal Solution More
  958.    wt: 11:   12 Real Number Additive Inverses or Negatives
  959.    wt: 11:   8 Coordinates for Maps and Planes
  960.    wt: 11:   5 Independent versus Dependent Variables
  961.    wt: 11:   4 Changing Letters
  962.    wt: 11:   1 Essentially One Unknown
  963.    wt: 11:   10 One Example
  964.    wt: 11:   8 One Example
  965.    wt: 11:   7 Two Examples
  966.    wt: 11:   4 Two Examples
  967.    wt: 11:   3 Two Examples
  968.    wt: 11:   17 GCD LCM of 85 and 60 via Prime
  969.    wt: 11:   7 GCD and LCM from prime factorization
  970.    wt: 11:   4 LCM of 8 and 10 via Prime
  971.    wt: 11:   LCM 60 45 Avoid List Method Use Prime
  972.    wt: 11:   11 What are real lengths and numbers
  973.    wt: 11:   13 Fraction Comparison Algebraic View
  974.    wt: 11:   12 Fraction Comparison
  975.    wt: 11:   6 Multiplication of Mixed Numbers
  976.    wt: 11:   1 What is a fraction
  977.    wt: 11:   17 Identify and Count Factors using Primes
  978.    wt: 11:   16 video Factors of 980 using prime
  979.    wt: 11:   12 LCD GCD and LCM using Primes
  980.    wt: 11:   11 Efficient Square Rule Use
  981.    wt: 11:   8 video Prime Factorization upto 19
  982.    wt: 11:   4 video Prime Factorization Introduction
  983.    wt: 11:   2 Prime and Composites less than 16
  984.    wt: 11:   1 Why 3 times 5 gives 15
  985.    wt: 11:   8 Review Lesson 1 2 4 and 6 All in One
  986.    wt: 11:   Formula Evaluation how to show work
  987.    wt: 11:   Practical Methods Ends and Values for Arithmetic
  988.    wt: 11:   016 Numbering Occidental Calendar Days
  989.    wt: 11:   012 Division of Time Intervals by Time Intervals
  990.    wt: 11:   15 sine and cosine derivatives 3rd step
  991.    wt: 11:   13 sine and cosine derivatives 1st step
  992.    wt: 11:   1 Fall 1983 Why Slopes Appetizer
  993.    wt: 11:   13 Limits with Parameters and Derivatives Take II
  994.    wt: 11:   Postscript One Sided and Intermediate Value Theorems
  995.    wt: 11:   G.4 Lipschitz Continuity implies EquiContinuity
  996.    wt: 11:   Chapter 24 Logarithms Powers and Exponentials
  997.    wt: 11:   Chapter 22 Complex Numbers
  998.    wt: 11:   Chapter 15. Algebraic Evaluation of Limits
  999.    wt: 11:   Chapter 14 Limits and Continuity with and sans Decimals
  1000.    wt: 11:   Fall 1983 Calculus Appetizer
  1001.    wt: 11:   Appendix E. How To Study Mathematics and Why
  1002.    wt: 11:   Chapter 28 Occurrence Tables
  1003.    wt: 11:   Chapter 24. Personal Investment and Pension EGS
  1004.    wt: 11:   Chapter 21. Third Reading Guide
  1005.    wt: 11:   Postscript Unifying Theme A Fourth Skill For Algebra
  1006.    wt: 11:   Chapter 8 Three Skills For Algebra
  1007.    wt: 11:   Annotated Links to Material Elsehwere
  1008.    wt: 11:   Postscript B Mathematics Education References
  1009.    wt: 11:   Postscript D Reflections on Law of the Excluded Middle
  1010.    wt: 11:   Chapter 11 Accidental Patterns
  1011.    wt: 11:   Chapter 9 What is in Chapters 10 to 18
  1012.    wt: 11:   Chapter 7 Longer Chains of Reason
  1013.    wt: 11:   Chapter 6 Chains of Reason
  1014.    wt: 11:   Chapter 3 What is in chapters 4 to 8
  1015.    wt: 11:   Chapter 6 More Algebra and Geometry
  1016.    wt: 11:   Chapter 3 Algebra Starter Lessons
  1017.    wt: 11:   Chapter 2 Why Sets
  1018.    wt: 11:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  1019.    wt: 11:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  1020.    wt: 10:   G LAMP Introduction Problem Solving Skills
  1021.    wt: 10:   Skills Chapter 3 Algebra
  1022.    wt: 10:   Skills Chapter 1 Arithmetic
  1023.    wt: 10:   Skills Chapter 0 Introduction
  1024.    wt: 10:   10 statistics
  1025.    wt: 10:   9 combinatorics probability sets
  1026.    wt: 10:   8 analytic geometry etc
  1027.    wt: 10:   What is POMME
  1028.    wt: 10:   three goals to set for students
  1029.    wt: 10:   Teach the teachers plus goals
  1030.    wt: 10:   Math Ed if it must be short make it lean effective
  1031.    wt: 10:   About site lesson plans
  1032.    wt: 10:   grouping students according to ability
  1033.    wt: 10:   what should be learnt and When
  1034.    wt: 10:   Education Reform Inconsistencies
  1035.    wt: 10:   how letters appear
  1036.    wt: 10:   Secondary Two Mathematics
  1037.    wt: 10:   Secondary One Mathematics
  1038.    wt: 10:   talk the algebra talk
  1039.    wt: 10:   geometric implications for algebra
  1040.    wt: 10:   Lessening Algebra Difficulties
  1041.    wt: 10:   the trouble with algebra
  1042.    wt: 10:   Operational Viewpoint to Value
  1043.    wt: 10:   formal or informal peer review
  1044.    wt: 10:   mathematics instruction in general
  1045.    wt: 10:   words for mathematics instructor
  1046.    wt: 10:   chapitre 07 01 principle D induction mathematique
  1047.    wt: 10:   chapitre 06 00 Chaines de la raison
  1048.    wt: 10:   chapitre 02 00 La Communication des idees
  1049.    wt: 10:   5 quadratics completing the square
  1050.    wt: 10:   1 quadratics graphing exercises
  1051.    wt: 10:   11 Growth and Decay in Biology
  1052.    wt: 10:   14 secant function Definition Graph and Inverse
  1053.    wt: 10:   13 cosecant function Definition Graph and Inverse
  1054.    wt: 10:   10 arctan left inverse of tangent Definition
  1055.    wt: 10:   7 Coordinate Addition and Scalar Multiplication
  1056.    wt: 10:   Straight Lines Instersection Solving Equations
  1057.    wt: 10:   28 Expressing products of sines cosines as sums
  1058.    wt: 10:   17E Trig Formulas for dot and cross Products
  1059.    wt: 10:   17C sine and cosine double triple angle formulas
  1060.    wt: 10:   17A The complex number valued trig function cis
  1061.    wt: 10:   12 Graph of tangent function for one period
  1062.    wt: 10:   13 Trig Formulas for dot and cross Products
  1063.    wt: 10:   11 sine and cosine double triple angle formulas
  1064.    wt: 10:   12 Triangles Similarity More Problems
  1065.    wt: 10:   8 Similarity of Triangles and Polygons
  1066.    wt: 10:   1 Early Concept of Like or Similar Shapes
  1067.    wt: 10:   11 A Partial Summary
  1068.    wt: 10:   4 Equations for lines three forms
  1069.    wt: 10:   7 Complex Numbers Appetizer
  1070.    wt: 10:   5 Side Angle Side
  1071.    wt: 10:   1 Length Measurement
  1072.    wt: 10:   musings do not puiblish real numbers
  1073.    wt: 10:   26 More Less Greater Than Comparison
  1074.    wt: 10:   23 Distributive Law Two Derivations
  1075.    wt: 10:   17 Arrows Rotate to Reverse with Length Unchanged
  1076.    wt: 10:   13 Arrows and Vectors in a Plane
  1077.    wt: 10:   12 Real Numbers Line Signed Coordinates
  1078.    wt: 10:   11 Signed Number Addition and Addition Properties
  1079.    wt: 10:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  1080.    wt: 10:   3 Location of Point in Decimal Multiplication
  1081.    wt: 10:   2 Counting Digits in Decimal Multiplication
  1082.    wt: 10:   1 Changing Calculations
  1083.    wt: 10:   16 Real Numbers Comparison
  1084.    wt: 10:   14 Real Number Multiplication
  1085.    wt: 10:   13 Real Number Subtraction
  1086.    wt: 10:   1 Whole and Natural Numbers
  1087.    wt: 10:   Skill Development Notes
  1088.    wt: 10:   5 Talking about Numbers and Quantities
  1089.    wt: 10:   13 GCD from given Prime Factorization
  1090.    wt: 10:   5 Common Divisors 60 45 via Prime
  1091.    wt: 10:   7 Converting or Changing Units
  1092.    wt: 10:   4 Fractions with Units
  1093.    wt: 10:   B Fractions and Two Term Ratios
  1094.    wt: 10:   20 Dividing Fractions the Why
  1095.    wt: 10:   11 Simplification an Algebraic View
  1096.    wt: 10:   9 Improper Fractions and Mixed Numbers
  1097.    wt: 10:   5 Equivalent Fractions
  1098.    wt: 10:   4 Fraction Multiplication
  1099.    wt: 10:   11 Adding Integers Formulas and Examples
  1100.    wt: 10:   6 Multiplication by Natural Numbers
  1101.    wt: 10:   2 Integers Multiplies of a Unit Moverment
  1102.    wt: 10:   3 video Primes and Composites from 9 times table
  1103.    wt: 10:   Quick history of numbers and algebra
  1104.    wt: 10:   015 School and work day counting tables
  1105.    wt: 10:   014 Counting Days with Calendars
  1106.    wt: 10:   011 Division of Time Intervals By Numbers
  1107.    wt: 10:   010 Repeated Addition of Time Intervals
  1108.    wt: 10:   4 Mixing and Changing Units of Time
  1109.    wt: 10:   2 Time and Date Matters in School
  1110.    wt: 10:   A Related Material in Volume 3
  1111.    wt: 10:   5 Area Under Curve Exercise
  1112.    wt: 10:   4 Definite Integrals Evaluation Exercises
  1113.    wt: 10:   1 Two cubic sketching exercises with 1st derivative
  1114.    wt: 10:   11 Limits at infinity Three Examples
  1115.    wt: 10:   8 Four Animated Examples
  1116.    wt: 10:   3 Decimal insights for limits continuity convergence
  1117.    wt: 10:   2 Algebraic codification
  1118.    wt: 10:   F.5a Equicontinuity Theorems
  1119.    wt: 10:   F.3 Intermediate Value Theorem
  1120.    wt: 10:   E2 Algebraic Properties of Limits
  1121.    wt: 10:   D2 Limits of Monotone Sequences
  1122.    wt: 10:   D1 Sets and Sequences GLBs and LGBs
  1123.    wt: 10:   C Triangle Inequalities
  1124.    wt: 10:   Chapter 21 Arrow Addition
  1125.    wt: 10:   Chapter 20 Vectors and Complex Numbers
  1126.    wt: 10:   Chapter 17. Area Approximation
  1127.    wt: 10:   Chapter 12. Units and Slopes
  1128.    wt: 10:   Chapter 2. Slopes and Ski Trails
  1129.    wt: 10:   Chapter 18. Rules for Algebra
  1130.    wt: 10:   Chapter 15. Solving Linear Equations
  1131.    wt: 10:   Postscript What is a Variable
  1132.    wt: 10:   Solutions For Arithmetic Exercises
  1133.    wt: 10:   Chapter 4 Longer Chains of Reason
  1134.    wt: 10:   Chapter 3 Chains of Reason
  1135.    wt: 10:   Chapter 1 Introduction to Chapters 2 to 6
  1136.    wt: 10:   Postscript A Three Remarks
  1137.    wt: 10:   Chapter 11 Elementary Instruction
  1138.    wt: 10:   Chapter 7 Two Treatments of Geometry
  1139.    wt: 10:   Chapter 4 Complex Numbers and Why Slopes
  1140.    wt: 10:   Chapter 3 Algebra Difficulties
  1141.    wt: 10:   Postscript B More on Story Telling and Reason
  1142.    wt: 10:   Chapter 2 Skill Development
  1143.    wt: 10:   Three Remarks
  1144.    wt: 10:   Chapter 8 Skipped Topics and Why
  1145.    wt: 10:   Chapter 1 Arithmetic
  1146.    wt: 10:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

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.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

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
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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