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:   9 Lines and Slopes Take 2 with tangent function/
  3.    wt: 9:   Step 4 Gaussian Elimination/
  4.    wt: 8:   5 Factored Polynomial Sign Analysis Examples/
  5.    wt: 8:   4 Lines and Slopes Take 1/
  6.    wt: 8:   1 Maps Plans Measurement/
  7.    wt: 8:   9 Proportionality Backwards and Forwards/
  8.    wt: 8:   6 More Less Greater Than Inequalities and Comparison/
  9.    wt: 8:   Step 2 Algebraic solutions for one unknown/
  10.    wt: 8:   C Decimal Multiplication Methods/
  11.    wt: 8:   Secondary Mathematics A Practical Approach/
  12.    wt: 7:   LAMP Lean Applied Mathematics Program/
  13.    wt: 7:   5 What is Similarity/
  14.    wt: 7:   10 Examples of Algebraic Reasoning/
  15.    wt: 7:   7 Axioms Logic and Equivalent Equations/
  16.    wt: 7:   Step 3 Easy systems in 2 or more unknowns/
  17.    wt: 7:   2 Formula Forward Use Evaluation/
  18.    wt: 7:   9 Combinatorics Trees Tables and Products/
  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:   3 Solving Linear Equations/
  29.    wt: 6:   11 Squares and Square Roots/
  30.    wt: 6:   7 Arithmetic and Fractions with Units/
  31.    wt: 6:   6 Fractions and Ratios/
  32.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  33.    wt: 6:   3 Prime Factorization Skills/
  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:   12 Comparison of Unsigned and Signed Numbers/
  44.    wt: 5:   10 LCM GCD and Euclid GCD Algorithm/
  45.    wt: 5:   38 Lessons on Calculating Derivatives/
  46.    wt: 5:   Volume 1A Pattern Based Reason/
  47.    wt: 4:   Mathematics Skills Year by Year/
  48.    wt: 4:   1 Five Polynomial Operations/
  49.    wt: 4:   B Real Numbers Extrinsic Development/
  50.    wt: 4:   5 Real Numbers/
  51.    wt: 4:   8 Arithmetic with Signed Numbers/
  52.    wt: 4:   Time Date Matters/
  53.    wt: 4:   Advanced Calculus Volume 3 Appendices/
  54.    wt: 4:   Mathematics 506 Lessons/
  55.    wt: 3:   Volume 1A Regles et modeles/
  56.    wt: 3:   1 Working With Sets/
  57.    wt: 3:   Algebra Starter Lessons/
  58.    wt: 3:   5 Integers/
  59.    wt: 3:   Arithmetic and Number Theory Skills/
  60.    wt: 3:   5 Lessons on Integration/
  61.    wt: 3:   4 Lessons on Using Derivatives/
  62.    wt: 3:   13 Lessons on Limits and Continuity/
  63.    wt: 3:   Mathematics Skill Development Framework/
  64.    wt: 2:   francais/
  65.    wt: 2:   4 Functions/
  66.    wt: 2:   More Algebra/
  67.    wt: 2:   Skills with take home value/
  68.    wt: 2:   70 Calculus Starter Lessons/
  69.    wt: 2:   Volume 3 Why Slopes A Calculus Intro Etc/
  70.    wt: 2:   Volume 2 Three Skills For Algebra/
  71.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  72.    wt: 2:   Resources and Reciprocal Links/
  73.    wt: 2:   Quebec Material/
  74.    wt: 1:   Archives/
  75.    wt: 1:   Parent Center/
  76.    wt: 1:   Volume 1 Elements of Reason/
  77.    wt: 1:   Work and Study Tips/
  78.    wt: 12:   14 Degrees to Radians and Radians to Degrees/
  79.    wt: 12:   11 Parallel Straight Lines and Transversals/
  80.    wt: 11:   2 Euclidean Geometry Constructions Theory extras/
  81.    wt: 10:   10 Intersecting Straight Lines and Transversals/
  82.    wt: 10:   3 Cartesian and Polar Coordinates/
  83.    wt: 10:   Step 1 Stick diagram and fractions/
  84.    wt: 10:   B Decimal Comparing and Subtracting Methods/
  85.    wt: 10:   A Decimal Counting and Adding Methods/

Web Page Search

1077 matches:

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

Extended Search

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