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.

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

Welcome: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.

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 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.

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

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

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1066 matches:

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

Extended Search

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

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 bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

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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