Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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 content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential 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:   12 Function Translating and Rescaling/
  2.    wt: 9:   10 Intersecting Straight Lines and Transversals/
  3.    wt: 9:   Step 1 Stick diagram and fractions/
  4.    wt: 8:   9 Lines and Slopes Take 2 with tangent function/
  5.    wt: 8:   1 Maps Plans Measurement/
  6.    wt: 8:   9 Proportionality Backwards and Forwards/
  7.    wt: 8:   6 More Less Greater Than Inequalities and Comparison/
  8.    wt: 8:   Step 4 Gaussian Elimination/
  9.    wt: 8:   C Decimal Multiplication Methods/
  10.    wt: 8:   Secondary Mathematics A Practical Approach/
  11.    wt: 7:   LAMP Lean Applied Mathematics Program/
  12.    wt: 7:   5 Factored Polynomial Sign Analysis Examples/
  13.    wt: 7:   5 What is Similarity/
  14.    wt: 7:   4 Lines and Slopes Take 1/
  15.    wt: 7:   10 Examples of Algebraic Reasoning/
  16.    wt: 7:   7 Axioms Logic and Equivalent Equations/
  17.    wt: 7:   Step 2 Algebraic solutions for one unknown/
  18.    wt: 7:   2 Formula Forward Use Evaluation/
  19.    wt: 7:   D Decimal Long Division Methods/
  20.    wt: 7:   12 Webvideo Lessons on Area and Volume Calculation/
  21.    wt: 6:   Progressive Observable Motivated Mathematics Education/
  22.    wt: 6:   2 Natural Logarithms Exponentials Powers Roots/
  23.    wt: 6:   15 Arc or Inverse Trigonometric Function/
  24.    wt: 6:   13 Vectors/
  25.    wt: 6:   8 Unit Circle Trigonometry/
  26.    wt: 6:   6 Trigonometry first steps/
  27.    wt: 6:   4 Computation Rules and Function Notation/
  28.    wt: 6:   Step 3 Easy systems in 2 or more unknowns/
  29.    wt: 6:   11 Squares and Square Roots/
  30.    wt: 6:   9 Combinatorics Trees Tables and Products/
  31.    wt: 6:   7 Arithmetic and Fractions with Units/
  32.    wt: 6:   6 Fractions and Ratios/
  33.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  34.    wt: 6:   2 Arithmetic with Decimals/
  35.    wt: 6:   1 Decimal Place Value/
  36.    wt: 6:   PreSchool and Primary Mathematics or Quantitative Skills/
  37.    wt: 5:   Mathematics Education Essays/
  38.    wt: 5:   3 Quadratics Geometrically/
  39.    wt: 5:   7 Complex Numbers/
  40.    wt: 5:   Geometry maps plans trigonometry vectors/
  41.    wt: 5:   A Origins of Counting and Figuring Methods/
  42.    wt: 5:   8 Unifying Theme For Algebra/
  43.    wt: 5:   3 Solving Linear Equations/
  44.    wt: 5:   12 Comparison of Unsigned and Signed Numbers/
  45.    wt: 5:   10 LCM GCD and Euclid GCD Algorithm/
  46.    wt: 5:   3 Prime Factorization Skills/
  47.    wt: 5:   38 Lessons on Calculating Derivatives/
  48.    wt: 5:   Volume 1A Pattern Based Reason/
  49.    wt: 4:   Mathematics Skills Year by Year/
  50.    wt: 4:   1 Five Polynomial Operations/
  51.    wt: 4:   B Real Numbers Extrinsic Development/
  52.    wt: 4:   5 Real Numbers/
  53.    wt: 4:   8 Arithmetic with Signed Numbers/
  54.    wt: 4:   Time Date Matters/
  55.    wt: 4:   Advanced Calculus Volume 3 Appendices/
  56.    wt: 4:   Mathematics 506 Lessons/
  57.    wt: 3:   Volume 1A Regles et modeles/
  58.    wt: 3:   1 Working With Sets/
  59.    wt: 3:   Algebra Starter Lessons/
  60.    wt: 3:   5 Integers/
  61.    wt: 3:   Arithmetic and Number Theory Skills/
  62.    wt: 3:   5 Lessons on Integration/
  63.    wt: 3:   4 Lessons on Using Derivatives/
  64.    wt: 3:   13 Lessons on Limits and Continuity/
  65.    wt: 3:   Mathematics Skill Development Framework/
  66.    wt: 2:   francais/
  67.    wt: 2:   4 Functions/
  68.    wt: 2:   More Algebra/
  69.    wt: 2:   Skills with take home value/
  70.    wt: 2:   70 Calculus Starter Lessons/
  71.    wt: 2:   Volume 3 Why Slopes A Calculus Intro Etc/
  72.    wt: 2:   Volume 2 Three Skills For Algebra/
  73.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  74.    wt: 2:   Resources and Reciprocal Links/
  75.    wt: 2:   Quebec Material/
  76.    wt: 1:   Archives/
  77.    wt: 1:   Parent Center/
  78.    wt: 1:   Volume 1 Elements of Reason/
  79.    wt: 1:   Work and Study Tips/
  80.    wt: 11:   11 Parallel Straight Lines and Transversals/
  81.    wt: 11:   2 Euclidean Geometry Constructions Theory extras/
  82.    wt: 10:   14 Degrees to Radians and Radians to Degrees/
  83.    wt: 10:   3 Cartesian and Polar Coordinates/
  84.    wt: 10:   B Decimal Comparing and Subtracting Methods/
  85.    wt: 10:   A Decimal Counting and Adding Methods/

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1073 matches:

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

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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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