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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85 matches:

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

Web Page Search

1101 matches:

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

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

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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