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:   12 Comparison of Unsigned and Signed Numbers/
  8.    wt: 9:   D Decimal Long Division Methods/
  9.    wt: 9:   C Decimal Multiplication Methods/
  10.    wt: 8:   14 Degrees to Radians and Radians to Degrees/
  11.    wt: 8:   3 Cartesian and Polar Coordinates/
  12.    wt: 8:   Step 4 Gaussian Elimination/
  13.    wt: 8:   12 Webvideo Lessons on Area and Volume Calculation/
  14.    wt: 8:   Secondary Mathematics A Practical Approach/
  15.    wt: 7:   LAMP Lean Applied Mathematics Program/
  16.    wt: 7:   Progressive Observable Motivated Mathematics Education/
  17.    wt: 7:   5 Factored Polynomial Sign Analysis Examples/
  18.    wt: 7:   2 Natural Logarithms Exponentials Powers Roots/
  19.    wt: 7:   10 Intersecting Straight Lines and Transversals/
  20.    wt: 7:   9 Lines and Slopes Take 2 with tangent function/
  21.    wt: 7:   2 Euclidean Geometry Constructions Theory extras/
  22.    wt: 7:   1 Maps Plans Measurement/
  23.    wt: 7:   7 Axioms Logic and Equivalent Equations/
  24.    wt: 7:   Step 3 Easy systems in 2 or more unknowns/
  25.    wt: 7:   4 Remainder Arithmetic and Divisibility/
  26.    wt: 7:   3 Prime Factorization Skills/
  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:   10 Examples of Algebraic Reasoning/
  31.    wt: 6:   4 Computation Rules and Function Notation/
  32.    wt: 6:   11 Squares and Square Roots/
  33.    wt: 6:   9 Combinatorics Trees Tables and Products/
  34.    wt: 6:   7 Arithmetic and Fractions with Units/
  35.    wt: 6:   6 Fractions and Ratios/
  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:   5 Real Numbers/
  47.    wt: 5:   3 Solving Linear Equations/
  48.    wt: 5:   10 LCM GCD and Euclid GCD Algorithm/
  49.    wt: 5:   8 Arithmetic with Signed Numbers/
  50.    wt: 5:   Time Date Matters/
  51.    wt: 4:   Volume 1A Regles et modeles/
  52.    wt: 4:   3 Quadratics Geometrically/
  53.    wt: 4:   15 Arc or Inverse Trigonometric Function/
  54.    wt: 4:   7 Complex Numbers/
  55.    wt: 4:   6 Trigonometry first steps/
  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

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

Extended Search

1145 matches:

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