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

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

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

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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

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

Web Page Search

1085 matches:

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

Extended Search

1146 matches:

  1.    wt: 9:   J LAMP Introduction Extrinsic Origins
  2.    wt: 9:   G LAMP Introduction Problem Solving Skills
  3.    wt: 9:   F LAMP Introduction Prerequisites
  4.    wt: 9:   A Introduction Objectives
  5.    wt: 9:   Skills Chapter 4 Logic
  6.    wt: 9:   Skills Chapter 0 Introduction
  7.    wt: 9:   11 pure mathematics
  8.    wt: 9:   9 combinatorics probability sets
  9.    wt: 9:   4 algebra
  10.    wt: 9:   Teach the teachers plus goals
  11.    wt: 9:   Math Ed if it must be short make it lean effective
  12.    wt: 9:   what should be learnt and When
  13.    wt: 9:   five decades make a difference
  14.    wt: 9:   Maps Plans Drawings
  15.    wt: 9:   Secondary Three Mathematics
  16.    wt: 9:   Secondary Two Mathematics
  17.    wt: 9:   Secondary One Mathematics
  18.    wt: 9:   geometric implications for algebra
  19.    wt: 9:   02 20 mathematics education references
  20.    wt: 9:   three aims for mathematics students
  21.    wt: 9:   Operational Viewpoint to Value
  22.    wt: 9:   mathematics instruction in general
  23.    wt: 9:   Different Kinds of Reasoning in maths
  24.    wt: 9:   need for a mixed mathematics curriculum
  25.    wt: 9:   Leaner mathematics curriculum
  26.    wt: 9:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  27.    wt: 9:   A Quadratics Summary
  28.    wt: 9:   7 quadratic formulla derivation
  29.    wt: 9:   2 quadratics graphing in general
  30.    wt: 9:   1 quadratics graphing exercises
  31.    wt: 9:   11 Growth and Decay in Biology
  32.    wt: 9:   10 Exponential Growth and Decay Models
  33.    wt: 9:   9 Formulas for Real Exponents with Logarithms
  34.    wt: 9:   7 Formulas for Roots with Logarithms Derivation
  35.    wt: 9:   6 Formulas for Even and Odd Roots with Logarithms
  36.    wt: 9:   2 Square Root Simplification a prequel
  37.    wt: 9:   6 Polynomial Operations and Equivalent Computation Rules
  38.    wt: 9:   7 arcsin left inverse of sine Definition
  39.    wt: 9:   4 possible motivation for term arccos
  40.    wt: 9:   3 Left Inverse of cosine arccos definition
  41.    wt: 9:   8 Parallel Vectors
  42.    wt: 9:   6 Vectors with Coordinates
  43.    wt: 9:   2 Signed Coordinates
  44.    wt: 9:   Vector and Complex Number Applet
  45.    wt: 9:   28 Expressing products of sines cosines as sums
  46.    wt: 9:   23 sine and cosine of 180 plus 22.5 degrees
  47.    wt: 9:   17D cis formulas for sine cosines and tangent
  48.    wt: 9:   17C sine and cosine double triple angle formulas
  49.    wt: 9:   17B sine cosine Angle Sum Formulas via cis
  50.    wt: 9:   8 period of tangent function
  51.    wt: 9:   7 period of sine and cosine
  52.    wt: 9:   6 sines and cosines for reference angle 30 degrees
  53.    wt: 9:   5 sines and cosines for reference angle 60 degrees
  54.    wt: 9:   4 sines and cosines for reference angle 45 degrees
  55.    wt: 9:   3 sines and cosines for reference angle 90 degrees
  56.    wt: 9:   Unit Circle Development of Trigonometry
  57.    wt: 9:   Appetizer A Complex Number Applet
  58.    wt: 9:   3 Trigonometric Ratios sine and cosine
  59.    wt: 9:   1 Angle Measurement with Degrees
  60.    wt: 9:   2 Similarity By Design
  61.    wt: 9:   8 Mid Point Formula
  62.    wt: 9:   21 Addition of Multiples of a Single Vector
  63.    wt: 9:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  64.    wt: 9:   16 Collinear Horizontal Arrows Vectors
  65.    wt: 9:   14 Vector Head to Tail Sums and Resultants
  66.    wt: 9:   8 Division and Mulplication of Compound Fractions
  67.    wt: 9:   4 Location of Point in Decimal Addition
  68.    wt: 9:   3 Location of Point in Decimal Multiplication
  69.    wt: 9:   C Three Decimal Subtraction Methods
  70.    wt: 9:   8 Column Multiplication Methods in General
  71.    wt: 9:   6 Column Methods for Decimal Multiplication
  72.    wt: 9:   4 Commutative Law Groups Counting Form
  73.    wt: 9:   3 Linear Equation Literal Solution More
  74.    wt: 9:   2 Linear Equation Literal Solution
  75.    wt: 9:   1 Equivalent Computation Rules
  76.    wt: 9:   5 Independent versus Dependent Variables
  77.    wt: 9:   3 Geometric Formulas and Function Notation
  78.    wt: 9:   2 Computation Rules Evaluation
  79.    wt: 9:   1 Formulas Dependence and Function Notation
  80.    wt: 9:   2 Essentially one exercises three with solution
  81.    wt: 9:   3 Four Examples
  82.    wt: 9:   1 Proper Equal Sign Usage
  83.    wt: 9:   11 Volume of Sphere
  84.    wt: 9:   9 Volume of Cone
  85.    wt: 9:   7 Compound Interest Formula Introduction
  86.    wt: 9:   5 Box Volume Formula Example
  87.    wt: 9:   1 Written work formats for developing and showing skill
  88.    wt: 9:   6 Three Notions of What is a Variable
  89.    wt: 9:   4 A Brief Story of numbers and algebra
  90.    wt: 9:   17 GCD LCM of 85 and 60 via Prime
  91.    wt: 9:   16 GCD and LCM of 650 225 via Prime
  92.    wt: 9:   14 GCD of 650 110 via Primes LCM via Product Rule
  93.    wt: 9:   7 GCD and LCM from prime factorization
  94.    wt: 9:   4 LCM of 8 and 10 via Prime
  95.    wt: 9:   5 Counting with Tables Trees Product Rule Take II
  96.    wt: 9:   3 Counting with Tables and Trees II
  97.    wt: 9:   2 Counting with Tables and Trees I
  98.    wt: 9:   5 Reciprocals and Division for Fractions with Units
  99.    wt: 9:   2 Equality and Units
  100.    wt: 9:   12 Fraction Comparison
  101.    wt: 9:   9 Improper Fractions and Mixed Numbers
  102.    wt: 9:   5 Equivalent Fractions
  103.    wt: 9:   4 Fraction Multiplication
  104.    wt: 9:   2 Unit Fraction Multiplication
  105.    wt: 9:   A Associative Law Theorectical Note
  106.    wt: 9:   23 Remainder Arithmetic Modulo 2
  107.    wt: 9:   22 Remainder Arithmetic Modulo 3 more
  108.    wt: 9:   21 Remainder Arithmetic Modulo 3
  109.    wt: 9:   11 Remainder Arithmetic Long Division by 5 Quickly more
  110.    wt: 9:   10 Remainder Arithmetic Long Division by 5 Quickly
  111.    wt: 9:   9 Remainder Arithmetic Divisibility by 5
  112.    wt: 9:   6 Remainder Arithmetic Modulo 5 Propertie
  113.    wt: 9:   5 Remainder Arithmetic Modulo 5
  114.    wt: 9:   3 Remainder Arithmetic Modulos 10 more still
  115.    wt: 9:   2 Remainder Arithmetic Modulo 10 more
  116.    wt: 9:   1 Remainder Arithmetic Modulo 10
  117.    wt: 9:   20 Uniqueness of Prime Factorization
  118.    wt: 9:   18 video Count Factors given Prime Factorization
  119.    wt: 9:   14 video Factors of 24 Take II
  120.    wt: 9:   10 video Prime Factorization upto 23 squared
  121.    wt: 9:   9 video Prime Factorization upto 19 squared
  122.    wt: 9:   2 Prime and Composites less than 16
  123.    wt: 9:   1 video how Products are bigger than factor
  124.    wt: 9:   Division with Counts and Length
  125.    wt: 9:   12 Why Long Division Works Take III
  126.    wt: 9:   9 Why Long Division Works Take II
  127.    wt: 9:   8 Correcting the Mistake
  128.    wt: 9:   3 Division Single Digit Divisor Example
  129.    wt: 9:   2 Division with Single Digit Divisors
  130.    wt: 9:   3 More One Digit Multipliers
  131.    wt: 9:   1 Why 3 times 5 gives 15
  132.    wt: 9:   8 Review Lesson 1 2 4 and 6 All in One
  133.    wt: 9:   1 Place Value in Three Digit Whole Numbers
  134.    wt: 9:   016 Numbering Occidental Calendar Days
  135.    wt: 9:   010 Repeated Addition of Time Intervals
  136.    wt: 9:   Volume of Solid by Cross Sections Lesson
  137.    wt: 9:   Example 3
  138.    wt: 9:   Example 2
  139.    wt: 9:   Example 1
  140.    wt: 9:   38 Formulas and derivatives for powers and roots
  141.    wt: 9:   36 Cube root derivative animated
  142.    wt: 9:   30Chain Rule A Proof
  143.    wt: 9:   29 Chain Rule Optional Reading
  144.    wt: 9:   12 Limits with Parameters and Derivatives Take I
  145.    wt: 9:   PostScript For and Against Decimal Perspectives
  146.    wt: 9:   Chapter 2 Implication Rules Forwards and Backwards
  147.    wt: 9:   Chapter 2 For and Against Mathematics
  148.    wt: 9:   Postscript C Consistency as a Tool for Reason
  149.    wt: 9:   Chapter 24 Direct and Indirect Reason
  150.    wt: 9:   Chapter 20 Shorthand Symbols as Pronouns
  151.    wt: 9:   Chapter 19 What is in chapters 20 to 24
  152.    wt: 9:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  153.    wt: 9:   Chapter 9 What is in Chapters 10 to 18
  154.    wt: 9:   Chapter 3 What is in chapters 4 to 8
  155.    wt: 9:   1 From Number Recognition and Counting to Arithmetic A
  156.    wt: 9:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  157.    wt: 9:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  158.    wt: 8:   10 statistics
  159.    wt: 8:   6 polynomials etc
  160.    wt: 8:   2 arithmetic with signed numbers
  161.    wt: 8:   1 arithmetic with unsigned numbers
  162.    wt: 8:   What is POMME
  163.    wt: 8:   About site lesson plans
  164.    wt: 8:   teacher certification
  165.    wt: 8:   learning takes time
  166.    wt: 8:   grouping students according to ability
  167.    wt: 8:   mathematics in context
  168.    wt: 8:   how letters appear
  169.    wt: 8:   mathematics curriculum shifts
  170.    wt: 8:   Lessening Algebra Difficulties
  171.    wt: 8:   the trouble with algebra
  172.    wt: 8:   05 13 OldSiteEntrancePage
  173.    wt: 8:   04 29 New Mathematics Curriculum
  174.    wt: 8:   04 25 when to stop or suspend mathemat
  175.    wt: 8:   formal or informal peer review
  176.    wt: 8:   Theory of Knowledge
  177.    wt: 8:   Four ways to improve education reform
  178.    wt: 8:   Motivation and Context Problem
  179.    wt: 8:   Prequel In For A Penny In For A Pound
  180.    wt: 8:   fairness and inductive principles for instruction
  181.    wt: 8:   words for mathematics instructor
  182.    wt: 8:   chapitre 07 00 Des chaines plus longues de la raison
  183.    wt: 8:   chapitre 06 00 Chaines de la raison
  184.    wt: 8:   chapitre 03 A Propos Des Prochains Chapitre
  185.    wt: 8:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  186.    wt: 8:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  187.    wt: 8:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  188.    wt: 8:   25 Absolute Value greatest integer and saw tooth functions
  189.    wt: 8:   17 Function maxima minima and their location
  190.    wt: 8:   10 quadratic exercises
  191.    wt: 8:   5 quadratics completing the square
  192.    wt: 8:   3 quadratics factoring by inspection
  193.    wt: 8:   Quadratics in 10 steps
  194.    wt: 8:   3 Polynomials Multiplication Addition
  195.    wt: 8:   15 Dot and Cross Product
  196.    wt: 8:   13 Velocity Vectors in Physics
  197.    wt: 8:   1 Unsigned Coordinates
  198.    wt: 8:   17G Pythagorean Theorem Converse
  199.    wt: 8:   17F Law of cosines
  200.    wt: 8:   17E Trig Formulas for dot and cross Products
  201.    wt: 8:   17A The complex number valued trig function cis
  202.    wt: 8:   1 Unit Points Reflections Rotations
  203.    wt: 8:   21 Logarithms Powers and Exponentials
  204.    wt: 8:   16 References and Originality Question
  205.    wt: 8:   12 cis formulas for sine cosines and tangent
  206.    wt: 8:   11 sine and cosine double triple angle formulas
  207.    wt: 8:   10 sine cosine Angle Sum Formulas via cis
  208.    wt: 8:   8 Unit Circle Development of Trigonometry
  209.    wt: 8:   7 Second Way to Calculate Products
  210.    wt: 8:   2 Complex Numbers made easier we hope
  211.    wt: 8:   7 Trignometric Ratios Unit Circle
  212.    wt: 8:   Four Simple Exercises
  213.    wt: 8:   12 Links Lessons elsewhere
  214.    wt: 8:   4 Equations for lines three forms
  215.    wt: 8:   3 Slope product for perpendicular lines
  216.    wt: 8:   26 More Less Greater Than Comparison
  217.    wt: 8:   17 Arrows Rotate to Reverse with Length Unchanged
  218.    wt: 8:   11 Signed Number Addition and Addition Properties
  219.    wt: 8:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  220.    wt: 8:   7 Arithmetic with Infinite Decimal Expansions
  221.    wt: 8:   5 Fractions with Infinite Decimal Expansions
  222.    wt: 8:   1 Fractions with Finite Decimal Expansions
  223.    wt: 8:   5 Distributive Law for Whole Numbers
  224.    wt: 8:   3 Multiplicative Counting Skills Principles
  225.    wt: 8:   1 The Counting Origins of Numbers
  226.    wt: 8:   1 Changing Calculations
  227.    wt: 8:   3 Product Axioms Two Forms
  228.    wt: 8:   12 Real Number Additive Inverses or Negatives
  229.    wt: 8:   8 Coordinates for Maps and Planes
  230.    wt: 8:   1 Essentially One Unknown
  231.    wt: 8:   Using Letters for Physical Quantities
  232.    wt: 8:   Formula Usage Show Work Format
  233.    wt: 8:   12 Cone Cylinder Sphere Lesson Idea
  234.    wt: 8:   2 What is a Variable
  235.    wt: 8:   arithmetic videos Real Player Format
  236.    wt: 8:   5 Square Roots with primes more still
  237.    wt: 8:   4 Square Roots with primes more
  238.    wt: 8:   2 Square Roots with Prime
  239.    wt: 8:   13 GCD from given Prime Factorization
  240.    wt: 8:   11 GCD 2700 288 via Euclid Algorithm
  241.    wt: 8:   10 Euclid Algorithm with 129 125 and with 45 14
  242.    wt: 8:   8 GCD from Euclidean Algorithm
  243.    wt: 8:   2 Least Common Multiple LCM intro via list method
  244.    wt: 8:   1 Least Common Multiples LCM Introduction
  245.    wt: 8:   4 Counting with Trees Product Rule Take I
  246.    wt: 8:   1 Counting and Counting Methods I
  247.    wt: 8:   11 What are real lengths and numbers
  248.    wt: 8:   7 negative and additive inverse
  249.    wt: 8:   3 signed coordinates for maps and planes
  250.    wt: 8:   7 Converting or Changing Units
  251.    wt: 8:   4 Fractions with Units
  252.    wt: 8:   3 Multiplying Units and Numbers
  253.    wt: 8:   D Three Term Ratios
  254.    wt: 8:   20 Dividing Fractions the Why
  255.    wt: 8:   19 Dividing Fractions How TO
  256.    wt: 8:   18 Efficient Ways to Multiply
  257.    wt: 8:   6 Multiplication of Mixed Numbers
  258.    wt: 8:   11 Adding Integers Formulas and Examples
  259.    wt: 8:   27 Divisibility by 2 3 6 5 9 10 Example
  260.    wt: 8:   26 Divisibility by 2 3 5 Example
  261.    wt: 8:   25 Divisibility Tests for 2 3 5 9 10 Example
  262.    wt: 8:   19 video Prime Factorization Unique
  263.    wt: 8:   17 Identify and Count Factors using Primes
  264.    wt: 8:   16 video Factors of 980 using prime
  265.    wt: 8:   13 video Factors of 24 using prime
  266.    wt: 8:   8 video Prime Factorization upto 19
  267.    wt: 8:   4 video Prime Factorization Introduction
  268.    wt: 8:   3 video Primes and Composites from 9 times table
  269.    wt: 8:   5 Long Division Include Zeroes or not
  270.    wt: 8:   4 Division with 2 Digit Divsors
  271.    wt: 8:   Quick history of numbers and algebra
  272.    wt: 8:   Exact Arithmetic Wholes and Fractions
  273.    wt: 8:   Practical Methods Ends and Values for Arithmetic
  274.    wt: 8:   015 School and work day counting tables
  275.    wt: 8:   014 Counting Days with Calendars
  276.    wt: 8:   012 Division of Time Intervals by Time Intervals
  277.    wt: 8:   7 Addition of Time Intervals
  278.    wt: 8:   4 Mixing and Changing Units of Time
  279.    wt: 8:   2 Time and Date Matters in School
  280.    wt: 8:   Summary
  281.    wt: 8:   A Related Material in Volume 3
  282.    wt: 8:   34 Derivative of exponential function
  283.    wt: 8:   27 Chain Rule sinusoidal outer inner functions EGS
  284.    wt: 8:   8 Differentiation of polynomials
  285.    wt: 8:   1 Fall 1983 Why Slopes Appetizer
  286.    wt: 8:   13 Limits with Parameters and Derivatives Take II
  287.    wt: 8:   7 Evaluation by immediate or delayed substitution
  288.    wt: 8:   G.1 First Fundamental Theorem of Calculus
  289.    wt: 8:   Chapter 19. Exponentials and Natural Logarithms
  290.    wt: 8:   Chapter 15. Algebraic Evaluation of Limits
  291.    wt: 8:   Chapter 29 Contrapositive and Vacuously True Implications
  292.    wt: 8:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  293.    wt: 8:   Chapter 10 Describing and Changing Calculations
  294.    wt: 8:   Chapter 6 Change of Language
  295.    wt: 8:   Chapter 6 Rule Based Reason in Mathematics
  296.    wt: 8:   Postscript D Reflections on Law of the Excluded Middle
  297.    wt: 8:   Postscript B More on Story Telling and Reason
  298.    wt: 8:   Chapter 23 Truth Tables
  299.    wt: 8:   Chapter 21 Occurrence Tables
  300.    wt: 8:   Chapter 18 Sense and Knowledge
  301.    wt: 8:   1 From Number Recognition and Counting to Arithmetic B
  302.    wt: 8:   More Algebra and Slope based Calculus Preview
  303.    wt: 7:   which way to go
  304.    wt: 7:   three goals to set for students
  305.    wt: 7:   permissions for teachers
  306.    wt: 7:   activities for students
  307.    wt: 7:   links Education Resources online
  308.    wt: 7:   site eurekas
  309.    wt: 7:   key notes and themes
  310.    wt: 7:   modern education
  311.    wt: 7:   Education Reform Inconsistencies
  312.    wt: 7:   teaching tips
  313.    wt: 7:   What to Tell Students
  314.    wt: 7:   02 21 words for teachers
  315.    wt: 7:   cultivating intelligence
  316.    wt: 7:   How to be a better instructor
  317.    wt: 7:   chapitre 07 01 principle D induction mathematique
  318.    wt: 7:   chapitre 04 10 Etapes pour une meilleur raison
  319.    wt: 7:   chapitre 04 04 Parlons de la logique
  320.    wt: 7:   chapitre 02 00 La Communication des idees
  321.    wt: 7:   27 Graduated Correction and Penalties for Young Offenders
  322.    wt: 7:   25 Mathematics Education Leaving A Good Impression
  323.    wt: 7:   Ages 12 to 14 Skills with take home value
  324.    wt: 7:   20 Interchanging coordinates a reflection
  325.    wt: 7:   11 Function Domain Range Source and Targets
  326.    wt: 7:   4 Function notation in and beyond mathematics
  327.    wt: 7:   2 Algebraic use of function notation
  328.    wt: 7:   5 Polynomials Long division Nonlinear divisor
  329.    wt: 7:   4 Polynomials Long division linear divisor
  330.    wt: 7:   1 Polynomials Distributive Law
  331.    wt: 7:   2 cosine function more properties
  332.    wt: 7:   1 cosine function properties
  333.    wt: 7:   11 Component Method
  334.    wt: 7:   19 N th Roots of Unity
  335.    wt: 7:   18 Sixth Roots of Unity
  336.    wt: 7:   17 Cube Roots of unity
  337.    wt: 7:   15 Pythagorean Theorem Converse
  338.    wt: 7:   14 Law of cosines
  339.    wt: 7:   13 Trig Formulas for dot and cross Products
  340.    wt: 7:   6 Field Properties of Complex Number
  341.    wt: 7:   4 Multiplication Properties
  342.    wt: 7:   3 Addition Properties
  343.    wt: 7:   Why Trigonometry the whyslopes view
  344.    wt: 7:   About Folder Contents
  345.    wt: 7:   A Signed Number Arithmetic Review
  346.    wt: 7:   23 Distributive Law Two Derivations
  347.    wt: 7:   22 Multiplication of Signed Numbers
  348.    wt: 7:   19 Signed Multiples of Vectors
  349.    wt: 7:   18 Geometrically Why Vector Addition Commutes
  350.    wt: 7:   12 Real Numbers Line Signed Coordinates
  351.    wt: 7:   9 Division with Digits after Decimal Point
  352.    wt: 7:   6 Infinite Decimals Ending in 9 repeating
  353.    wt: 7:   2 Counting Digits in Decimal Multiplication
  354.    wt: 7:   E Long Division Methods more
  355.    wt: 7:   D Long Division Methods
  356.    wt: 7:   10 Real Number Lengths and Signs
  357.    wt: 7:   9 Coordinates for Regions in Space
  358.    wt: 7:   7 Real Numbers as Line Cordinates
  359.    wt: 7:   1 Whole and Natural Numbers
  360.    wt: 7:   4 Changing Letters
  361.    wt: 7:   9 Sets in Probability and Statistics
  362.    wt: 7:   7 Cautious or Safe Set Construction
  363.    wt: 7:   5 Talking about Numbers and Quantities
  364.    wt: 7:   5 Common Divisors 60 45 via Prime
  365.    wt: 7:   LCM 60 45 Avoid List Method Use Prime
  366.    wt: 7:   12 GCD 2700 288 via Prime
  367.    wt: 7:   5 lengths and signs of numbers
  368.    wt: 7:   4 signed coordinates for regions in space
  369.    wt: 7:   2 signed and unsigned numbers as coordinates
  370.    wt: 7:   22 Complex Compound Fractions
  371.    wt: 7:   21 Working With Signs
  372.    wt: 7:   6 Multiplication by Natural Numbers
  373.    wt: 7:   2 Integers Multiplies of a Unit Moverment
  374.    wt: 7:   24 Divisibility Tests for 2 3 5 9 10
  375.    wt: 7:   12 LCD GCD and LCM using Primes
  376.    wt: 7:   11 Efficient Square Rule Use
  377.    wt: 7:   Formula Evaluation how to show work
  378.    wt: 7:   013 Travel Time Tables
  379.    wt: 7:   011 Division of Time Intervals By Numbers
  380.    wt: 7:   3 Units and Lengths of Time
  381.    wt: 7:   1 Intro of Kids To Time Date Skills
  382.    wt: 7:   31 Derivatives of inverse functions
  383.    wt: 7:   23 Chain Rule in general
  384.    wt: 7:   22 Chain Rule for polynomials
  385.    wt: 7:   20 Chain Rule for Pulley Systems
  386.    wt: 7:   19 Chain Rule for linear functions
  387.    wt: 7:   18 Chain Rule Introduction
  388.    wt: 7:   15 sine and cosine derivatives 3rd step
  389.    wt: 7:   14 sine and cosine derivatives 2nd step
  390.    wt: 7:   13 sine and cosine derivatives 1st step
  391.    wt: 7:   12 Quotient rule examples
  392.    wt: 7:   10 Power rule for negative integers
  393.    wt: 7:   9 Reciprocal rule
  394.    wt: 7:   3 Motivation for Limit Definition Take 2
  395.    wt: 7:   2 Motivation for Limit Definition Take 1
  396.    wt: 7:   8 Four Animated Examples
  397.    wt: 7:   2 Algebraic codification
  398.    wt: 7:   Postscript One Sided and Intermediate Value Theorems
  399.    wt: 7:   G.2 Differentiable Functions Mean Value Theorem
  400.    wt: 7:   E2 Algebraic Properties of Limits
  401.    wt: 7:   Postscript Pythagorean Theorem yet another proof
  402.    wt: 7:   Chapter 17. Area Approximation
  403.    wt: 7:   Chapter 14 Limits and Continuity with and sans Decimals
  404.    wt: 7:   Appendix E. How To Study Mathematics and Why
  405.    wt: 7:   Appendix A. Reading Guide For Next Appendices
  406.    wt: 7:   Chapter 25. Mathematical Induction Examples
  407.    wt: 7:   Postscript What is a Variable
  408.    wt: 7:   Chapter 9 Talking about Numbers or Quantities
  409.    wt: 7:   Chapter 5 Islands and Divisions of Knowledge
  410.    wt: 7:   Chapter 4 Longer Chains of Reason
  411.    wt: 7:   Chapter 3 Chains of Reason
  412.    wt: 7:   Annotated Links to Material Elsehwere
  413.    wt: 7:   Chapter 7 Two Treatments of Geometry
  414.    wt: 7:   Postscript A Story Telling
  415.    wt: 7:   Chapter 15 Objective Processes
  416.    wt: 7:   Chapter 10 Responsibility
  417.    wt: 7:   Chapter 5 Deception
  418.    wt: 7:   Chapter 2 Skill Development
  419.    wt: 7:   Chapter 1 Introduction
  420.    wt: 7:   Three Remarks
  421.    wt: 7:   V Reasons and Motivations for Logic and Mathematics
  422.    wt: 7:   Helping the Blind in Logic and Mathematics
  423.    wt: 7:   Mathematics Education References
  424.    wt: 7:   Mathematics Education References
  425.    wt: 7:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  426.    wt: 6:   why bother
  427.    wt: 6:   website reviews
  428.    wt: 6:   site origins
  429.    wt: 6:   Postscript 2007 01 10
  430.    wt: 6:   three difficulties
  431.    wt: 6:   chapitre 04 09 Regles accidentelles
  432.    wt: 6:   chapitre 04 08 Limitations et benefices
  433.    wt: 6:   chapitre 04 07 RepetablesEtReproductibles
  434.    wt: 6:   chapitre 04 06 engagements
  435.    wt: 6:   chapitre 04 05 Implication versus suggestion
  436.    wt: 6:   chapitre 04 00 Les regles d implication
  437.    wt: 6:   19 Extending the Oral Dimension of Mathematics
  438.    wt: 6:   13 Addition and Addition Tables
  439.    wt: 6:   12 Goals and Objectives For Mathematics
  440.    wt: 6:   5 Patience Please for Yourself and Your Charges
  441.    wt: 6:   Ages 12 to 14 Geometry
  442.    wt: 6:   Ages 12 to 14 Arithmetic
  443.    wt: 6:   Ages 10 to 12 Geometry
  444.    wt: 6:   Ages 10 to 12 Arithmetic
  445.    wt: 6:   Ages 8 to 9
  446.    wt: 6:   Ages 7 to 8
  447.    wt: 6:   Ages 6 to 7
  448.    wt: 6:   Ages 4 plus to 5 plus
  449.    wt: 6:   Ages 3 plus to 4 plus
  450.    wt: 6:   22 Square Root function graphically
  451.    wt: 6:   21 Graphs of functions given by Horizontal Line Method
  452.    wt: 6:   16 Increasing or decreasing on intervals
  453.    wt: 6:   15 Sign analysis of functions
  454.    wt: 6:   8 Set view of relations and functions
  455.    wt: 6:   6 Set Existence Formation and Notation
  456.    wt: 6:   5 Function notation for geometric transformations
  457.    wt: 6:   2 Column Multiplication Method
  458.    wt: 6:   Rewriting algebraic substitution as function substitutions
  459.    wt: 6:   20 N th Roots of Complex Numbers
  460.    wt: 6:   9 The complex number valued trig function cis
  461.    wt: 6:   musings do not puiblish real numbers
  462.    wt: 6:   24 Signed Numbers Arithmmetic Properties
  463.    wt: 6:   16 Real Numbers Comparison
  464.    wt: 6:   14 Real Number Multiplication
  465.    wt: 6:   13 Real Number Subtraction
  466.    wt: 6:   11 Real Number Addition
  467.    wt: 6:   5 Rational Numbers More
  468.    wt: 6:   4 Rational Numbers
  469.    wt: 6:   More Exercises
  470.    wt: 6:   Simple Exercises
  471.    wt: 6:   2 Venn Diagrams
  472.    wt: 6:   3 Adding Words To Arithmetic
  473.    wt: 6:   6 GCD from Prime
  474.    wt: 6:   6 adding signed numbers
  475.    wt: 6:   D Remainders Modulo 11 Pair Rule
  476.    wt: 6:   13 Subtraction with Additive Inverse
  477.    wt: 6:   12 Adding Integers More Examples
  478.    wt: 6:   5 Zero Movement and Additive Inverses
  479.    wt: 6:   3 Adding Movements with same direction
  480.    wt: 6:   1 Integers as Coordinates
  481.    wt: 6:   Expression Evaluation how to show work
  482.    wt: 6:   The 12 Times Table Visually
  483.    wt: 6:   5 Conversion Arithmetic
  484.    wt: 6:   5 Area Under Curve Exercise
  485.    wt: 6:   4 Definite Integrals Evaluation Exercises
  486.    wt: 6:   A Related lessons in Volume 3
  487.    wt: 6:   26 Chain Rule Recognising outer inner functions
  488.    wt: 6:   21 Chain Rule for powers
  489.    wt: 6:   11 Quotient rule
  490.    wt: 6:   6 Power rule from product rule
  491.    wt: 6:   5 Product Rule
  492.    wt: 6:   11 Limits at infinity Three Examples
  493.    wt: 6:   5 Jumps and absence of unlimited error control
  494.    wt: 6:   G.2 Lipshitz Conditions Integration Calculus Reform
  495.    wt: 6:   G.3 Constant Difference Theorem Proof
  496.    wt: 6:   F.3 Intermediate Value Theorem
  497.    wt: 6:   F.1 What Functions are Continuous
  498.    wt: 6:   D1 Sets and Sequences GLBs and LGBs
  499.    wt: 6:   C Triangle Inequalities
  500.    wt: 6:   B3 Bolzano Weierstrass Theorem
  501.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
  502.    wt: 6:   A1. Introduction
  503.    wt: 6:   Chapter 24 Logarithms Powers and Exponentials
  504.    wt: 6:   Chapter 20 Vectors and Complex Numbers
  505.    wt: 6:   Chapter 18. Slopes Areas Integration
  506.    wt: 6:   Chapter 13. Acceleration
  507.    wt: 6:   Chapter 9 About First Courses in Calculus
  508.    wt: 6:   Chapter 3. Slope Sign Analysis
  509.    wt: 6:   Fall 1983 Calculus Appetizer
  510.    wt: 6:   Appendix D. What to do in School and Why
  511.    wt: 6:   Chapter 31 Direct and Indirect Reason
  512.    wt: 6:   Chapter 27 Shorthand Symbols as Pronouns
  513.    wt: 6:   Chapter 26 What is in chapters 27 to 31
  514.    wt: 6:   Chapter 20. Degrees and Radians
  515.    wt: 6:   Chapter 18. Rules for Algebra
  516.    wt: 6:   Chapter 15. Solving Linear Equations
  517.    wt: 6:   Postscript Unifying Theme A Fourth Skill For Algebra
  518.    wt: 6:   Chapter 12. Shorthand Usage Guide
  519.    wt: 6:   Postscript B Mathematics Education References
  520.    wt: 6:   Chapter 3 Algebra Difficulties
  521.    wt: 6:   Foreword
  522.    wt: 6:   P Exact Arithmetic With Whole Numbers and Fractions
  523.    wt: 6:   O On Learning Mathematics and Science
  524.    wt: 6:   Multiple Ways to Improve Mathematics Skill Development
  525.    wt: 6:   Systematic Algebra Skill Development Missing Links
  526.    wt: 5:   chapitre 12 00 les iles et division
  527.    wt: 5:   chapitre 05 00 Deception
  528.    wt: 5:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  529.    wt: 5:   chapitre 04 02 Deuxieme enigme
  530.    wt: 5:   chapitre 04 01 Premiere enigme
  531.    wt: 5:   chapitre 01 00 Introduction
  532.    wt: 5:   problemes algebre et arithmetique
  533.    wt: 5:   Trois Notions qui menent a algebre
  534.    wt: 5:   deux definitions pour variable
  535.    wt: 5:   2 Conductance Resistance Duality02
  536.    wt: 5:   A Wire Resistance Qualitative01
  537.    wt: 5:   24 Standards For Skill Develoment Take II
  538.    wt: 5:   23 Modularized Skill Development Modularized Rigor Take IV
  539.    wt: 5:   23 Modularized Skill Development Modularized Rigor Take III
  540.    wt: 5:   23 Modularized Skill Development Modularized Rigor Take II
  541.    wt: 5:   18 Primary School Mathematics
  542.    wt: 5:   17 Math Booklets for children and young teenagers
  543.    wt: 5:   16 Secondary Mathematics Tips
  544.    wt: 5:   14 Multiplication and Times Tables
  545.    wt: 5:   8 The Effect of Negative Remarks
  546.    wt: 5:   4 Learning Takes Time and Effort
  547.    wt: 5:   2 Reading and Writing Skills
  548.    wt: 5:   Ages 9 to 10
  549.    wt: 5:   19 Horizontal line rule and method
  550.    wt: 5:   18 Vertical Line Rule and Method
  551.    wt: 5:   10 Interval Notation
  552.    wt: 5:   9 Set theory term relation possible origins
  553.    wt: 5:   3 Formula or function graphing exercise
  554.    wt: 5:   1 Geometric Introduction of Function Notation
  555.    wt: 5:   8 Notes for instructors or tutors
  556.    wt: 5:   7 Links Lessons Elsewhere
  557.    wt: 5:   15 Real Number Division
  558.    wt: 5:   6 Unsigned Real Numbers
  559.    wt: 5:   3 Fractions
  560.    wt: 5:   10 Set View of Wordy Extensions To Arithmetic
  561.    wt: 5:   1 Three Skills For Algebra
  562.    wt: 5:   About Folder Contents
  563.    wt: 5:   9 subtracting signed numbers
  564.    wt: 5:   10 Integer Multiplication Formulas
  565.    wt: 5:   8 Multiplication by Signed Numbers Integers
  566.    wt: 5:   7 Multiplication by Signs
  567.    wt: 5:   4 Adding Movements wiht opposite directions
  568.    wt: 5:   The 20 Times Table
  569.    wt: 5:   About folder contents
  570.    wt: 5:   6 How long is a million seconds
  571.    wt: 5:   1 Chain Rule in Reverse Integration Method
  572.    wt: 5:   4 Second derivative test exercise example
  573.    wt: 5:   3 Second derivative test
  574.    wt: 5:   2 Second derivative test prequel
  575.    wt: 5:   1 Two cubic sketching exercises with 1st derivative
  576.    wt: 5:   4 Sum Rule
  577.    wt: 5:   10 Three one sided limits with infinite values
  578.    wt: 5:   9 Limits Continuity and Composition
  579.    wt: 5:   6 Continuity at a point
  580.    wt: 5:   3 Decimal insights for limits continuity convergence
  581.    wt: 5:   1 Numerical introduction
  582.    wt: 5:   G.6 Bounded Derivatives implies Lipshitz Continuity
  583.    wt: 5:   G.1 Differentiable Functions Rolles Theorem
  584.    wt: 5:   F.5b Extreme Value Theorem
  585.    wt: 5:   F.5a Equicontinuity Theorems
  586.    wt: 5:   F.2 Closed Range Theorem
  587.    wt: 5:   E1 Error Control Inequalities
  588.    wt: 5:   D2 Limits of Monotone Sequences
  589.    wt: 5:   Chapter 23 Links To Trigonometry
  590.    wt: 5:   Chapter 21 Arrow Addition
  591.    wt: 5:   Chapter 16. Velocity Approximation
  592.    wt: 5:   Chapter 15. Slope Approximation
  593.    wt: 5:   Chapter 12. Units and Slopes
  594.    wt: 5:   Chapter 11. Graphing Slope versus Position
  595.    wt: 5:   Chapter 10 Slopes and Units
  596.    wt: 5:   Chapter 8. Slope Interpretation
  597.    wt: 5:   Chapter 7 Slopes and Velocity
  598.    wt: 5:   Chapter 6. Slopes and Vertical Shifts
  599.    wt: 5:   Chapter 4. More Slope Sign Analysis
  600.    wt: 5:   Chapter 2. Slopes and Ski Trails
  601.    wt: 5:   Appendix C. How to Read
  602.    wt: 5:   Appendix B. How To Learn
  603.    wt: 5:   Chapter 30 Truth Tables
  604.    wt: 5:   Chapter 28 Occurrence Tables
  605.    wt: 5:   Chapter 24. Personal Investment and Pension EGS
  606.    wt: 5:   Chapter 21. Third Reading Guide
  607.    wt: 5:   Chapter 19. Functions and Sets
  608.    wt: 5:   Chapter 16. Painless Theorem Proving
  609.    wt: 5:   Chapter 13. Second Reading Guide
  610.    wt: 5:   Chapter 11. Why Shorthand
  611.    wt: 5:   Chapter 8 Three Skills For Algebra
  612.    wt: 5:   Chapter 7 Prep for Calculus Arithmetic Exercises
  613.    wt: 5:   Chapter 1 Introduction to Chapters 2 to 6
  614.    wt: 5:   Postscript A Three Remarks
  615.    wt: 5:   Chapter 12 Four Phases
  616.    wt: 5:   Chapter 11 Elementary Instruction
  617.    wt: 5:   Chapter 10 Transition
  618.    wt: 5:   Chapter 4 Complex Numbers and Why Slopes
  619.    wt: 5:   S Adding words to algebra
  620.    wt: 5:   R Why Learn Mathematics Skills
  621.    wt: 5:   Q How Logic and Proofs extend Show Work Practices
  622.    wt: 5:   N Mathematics Prepare for College Studies
  623.    wt: 5:   I. Logic and language skills
  624.    wt: 5:   D. Check work a must with a caution
  625.    wt: 5:   Ends Values Methods For Skill Development Framework Prequel
  626.    wt: 5:   Implementation Notes
  627.    wt: 5:   Which Way To Go
  628.    wt: 5:   Talking pdf files for online lessons a webvideo alternative
  629.    wt: 4:   1 Conductance Resistance Duality01
  630.    wt: 4:   F Wire Resistance Calculation04
  631.    wt: 4:   E Wire Resistance Calculation03
  632.    wt: 4:   D Wire Resistance Calculation02
  633.    wt: 4:   C Wire Resistance Calculation01
  634.    wt: 4:   B Wire Resistance Qualitative02
  635.    wt: 4:   24 Standards For Skill Develoment
  636.    wt: 4:   23 Modularized Skill Development Modularized Rigor
  637.    wt: 4:   22 Student Centered Highschool Mathematics
  638.    wt: 4:   11 Help and Defend Your Child or Teens Education
  639.    wt: 4:   9 Streaming by Student Cooperation
  640.    wt: 4:   6 Discipline Who is in Charge Conserving Authority
  641.    wt: 4:   26 Function definitions done and coming
  642.    wt: 4:   24 Monotoncity Injectivity and Inverse Functions
  643.    wt: 4:   13 From one to one to many to one
  644.    wt: 4:   12 Function Domain Recognition Exercises
  645.    wt: 4:   7 Functions with finite domains
  646.    wt: 4:   Introduction Reading Guide
  647.    wt: 4:   2 Integers
  648.    wt: 4:   8 Sets of Numbers
  649.    wt: 4:   6 Power Set Notation
  650.    wt: 4:   5 Product Builder Notation
  651.    wt: 4:   4 Subset Builder Notation
  652.    wt: 4:   10 dividing signed numbers
  653.    wt: 4:   8 multiplying signed numbers
  654.    wt: 4:   C Divisibility by 11 Integer Recognition Method
  655.    wt: 4:   B Integer Long Division Multiple Choices
  656.    wt: 4:   9 Multiplying Integers
  657.    wt: 4:   3 Two Chain Rule Method Exercises
  658.    wt: 4:   2 Indefinite Integrals Exercises
  659.    wt: 4:   4 Numerical properties
  660.    wt: 4:   G.5 Motions With Bounded Velocities
  661.    wt: 4:   G.4 Lipschitz Continuity implies EquiContinuity
  662.    wt: 4:   F.4 Finite Covering Theorem
  663.    wt: 4:   Chapter 5. Slope Sign Tests
  664.    wt: 4:   Chapter 1.Introduction
  665.    wt: 4:   Postscript More on Better Performance
  666.    wt: 4:   Postscript For Better Performance
  667.    wt: 4:   Chapter 23. Notation For Sums
  668.    wt: 4:   Chapter 22. Geometric Sums and Sequences
  669.    wt: 4:   Solutions For Arithmetic Exercises
  670.    wt: 4:   Chapter 9 The Two Ends
  671.    wt: 4:   Chapter 8 Modern Instruction
  672.    wt: 4:   Chapter 5 Four References
  673.    wt: 4:   Chapter 1 Introduction
  674.    wt: 4:   L Skills with take home value
  675.    wt: 4:   N Improving Marks on Tests and Finals
  676.    wt: 4:   H Jigsaw puzzles and problem solving
  677.    wt: 4:   F. The student teacher tutor feedback loop
  678.    wt: 4:   C. Domino effect of being careful
  679.    wt: 4:   A. Skill has to be seen to believed
  680.    wt: 3:   liens
  681.    wt: 3:   problemes responses
  682.    wt: 3:   logique deux enigme
  683.    wt: 3:   3 Like resistors in parallel
  684.    wt: 3:   2 Unlike resistors in parallel01
  685.    wt: 3:   E Kirchoffs Second Law
  686.    wt: 3:   D Kirchoff First Law
  687.    wt: 3:   Home Tutoring and Home Schooling
  688.    wt: 3:   15 Counting For Parents
  689.    wt: 3:   10 Ends values for work study instruction
  690.    wt: 3:   7 Student Motivation
  691.    wt: 3:   3 Preparing for Science Studies
  692.    wt: 3:   1 Speaking Skills
  693.    wt: 3:   23 Inverse Functions
  694.    wt: 3:   14 Surjections Injections Bijections
  695.    wt: 3:   3 Counting with Sets etc
  696.    wt: 3:   1 Finite Sets
  697.    wt: 3:   Chapter 22 Complex Numbers
  698.    wt: 3:   Foreword
  699.    wt: 3:   Foreword
  700.    wt: 3:   Foreword
  701.    wt: 3:   1 Links to Online Resources Elsewhere Take 1
  702.    wt: 3:   M Words to extend arithmetic
  703.    wt: 3:   J. More on written work and showing skill
  704.    wt: 3:   G. Written work formats for developing and showing skill
  705.    wt: 3:   E. When and how to correct errors
  706.    wt: 3:   B. Domino effect of errors
  707.    wt: 3:   How to Build Skills and Confidence
  708.    wt: 3:   Road Safety Questions
  709.    wt: 3:   The Math Forum and Site Content
  710.    wt: 2:   4 Energy Power Heat09
  711.    wt: 2:   3 Energy Power Heat08
  712.    wt: 2:   2 Energy Power Heat07
  713.    wt: 2:   1 Energy Power Heat06
  714.    wt: 2:   A Energy Power01
  715.    wt: 2:   C Electromotive force conventional current02
  716.    wt: 2:   B Electromotive force conventional current01
  717.    wt: 2:   A Circuit Elements
  718.    wt: 2:   H more Routine to non routine problem solving
  719.    wt: 1:   E Energy Power05
  720.    wt: 1:   D Energy Power04
  721.    wt: 1:   C Energy Power03
  722.    wt: 1:   B Energy Power02
  723.    wt: 1:   1 Like resistors in series
  724.    wt: 1:   H Series Circuit02
  725.    wt: 1:   G Series Circuit01
  726.    wt: 1:   F Unlike Resistors in Series
  727.    wt: 1:   Site Reviews
  728.    wt: 19:   Parallel Lines and Parallel Transversals
  729.    wt: 18:   Proportionality of Line Segments From Parallel Transversals
  730.    wt: 18:   Parallel Lines and Alternating Corresponding Angles
  731.    wt: 17:   13 Pythagorean spatial distance formulas
  732.    wt: 17:   5 Cartesian Addition and Translation
  733.    wt: 17:   9 Construction of a right bisector
  734.    wt: 16:   9 Summary Degrees to Radians and back
  735.    wt: 16:   8 Radian Measures of Common Angles
  736.    wt: 16:   7 Radian Measures in special Triangles
  737.    wt: 16:   4 Circle Sector Area proportional to Central Angle
  738.    wt: 16:   2 Radian Measure Numerical Value of one degree
  739.    wt: 16:   Parallel Lines and Interior Angles
  740.    wt: 16:   Construction Methods and Criteria for Isometric and Similar Triangles
  741.    wt: 16:   10 Pythagorean plane distance formula
  742.    wt: 16:   PS F Scalar Multiplication Distributes over Addition
  743.    wt: 16:   PS D Addition with Cartesian Coordinates
  744.    wt: 16:   PS B Parallelogram Construction Methods
  745.    wt: 16:   17 Right Bisectors of Triangle Sides
  746.    wt: 16:   3 Harder Cases Convert to Compare and Subtract
  747.    wt: 16:   2 Subtraction Easy Case Examples
  748.    wt: 16:   1 Comparison and Subtraction Easy Direct Cases
  749.    wt: 15:   3 Circle Arclengh Proportional to Central Angle
  750.    wt: 15:   2 Graphing y=Af(x) Vertical Scaling
  751.    wt: 15:   Analytic View of Triangle Construction or Line Instersection More
  752.    wt: 15:   3 Straight Lines Slope as Tangent of Inclination Angle
  753.    wt: 15:   9 Pythagorean Theorem Chinese Square Proof
  754.    wt: 15:   6 Polar Multiplication and Rotation
  755.    wt: 15:   2 Cartesian Coordinates with signs
  756.    wt: 15:   1 Cartesian Coordinates sans signs
  757.    wt: 15:   PS E Multiplication with Polar Coordinates
  758.    wt: 15:   21 Parallelograms
  759.    wt: 15:   19 Right Triangle Similarity
  760.    wt: 15:   18 Triangle Similarity Take 1
  761.    wt: 15:   16 Angles Subtended By Chords and Diameters
  762.    wt: 15:   14 Parallel Lines Postulate
  763.    wt: 15:   13 Angle Side Angle Failure
  764.    wt: 15:   11 Triangle Construction Fails
  765.    wt: 15:   6 Ruler and compass Angle Bisection
  766.    wt: 15:   3 Lengths and Areas on Maps and Plans
  767.    wt: 15:   Appendix 1 Decimals Comparison Method Take II
  768.    wt: 15:   7 Adding decimal fractions using decimal point
  769.    wt: 15:   3. How to add with decimals A sans conversions
  770.    wt: 15:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  771.    wt: 14:   6 Radian Measure to Degrees
  772.    wt: 14:   5 Degrees to Radian Measure
  773.    wt: 14:   Triangle Angles Sum To 180 Degrees
  774.    wt: 14:   SAS Method For Isometric Or Proportional Triangle Construction
  775.    wt: 14:   13 Navigation Location from Angles to 2 Landmarks
  776.    wt: 14:   10 Similarity of Triangles Equivalent of Two Criteria
  777.    wt: 14:   12 Spatial Coordinates
  778.    wt: 14:   4 Polar Coordinates to and from
  779.    wt: 14:   3 Rectangular Coordinates Review
  780.    wt: 14:   Euclidean Geometry Elsewhere LINKS
  781.    wt: 14:   PS G Rotation Distributes over Addition
  782.    wt: 14:   PS C Similarity Use Recognize it in Trigonometry
  783.    wt: 14:   PS A Kite Construction Methods
  784.    wt: 14:   15 Triangle Angle Sum is 180 degrees
  785.    wt: 14:   12 Side Angle Side Failure
  786.    wt: 14:   10 Dropping a perpendicular to line
  787.    wt: 14:   7 Angle Side Angle
  788.    wt: 14:   3 Isometry of Triangles Congruence
  789.    wt: 14:   2 Correspondence between Triangles
  790.    wt: 14:   1 Initial Concepts and Terms
  791.    wt: 14:   Short Course on Euclidean Geometry
  792.    wt: 14:   4 Angles on Maps Plans drawn to scale
  793.    wt: 14:   1 Decimals Modular and Remainder Arithmetic
  794.    wt: 14:   Appendix 2 Three Decimal Subtraction Methods
  795.    wt: 14:   8 Subtraction with Units of Measure
  796.    wt: 14:   7 Subtraction for Decimal Fractions with Exercises
  797.    wt: 14:   8 What skills and work habits to require
  798.    wt: 14:   6. Counting and adding units and mixed units
  799.    wt: 14:   5. How to add decimals C. Examples
  800.    wt: 14:   1. Explaining Addition Table
  801.    wt: 14:   11 Place Value SI Standard International way
  802.    wt: 14:   Chapter 6 More Algebra and Geometry
  803.    wt: 14:   Primary and Secondary Skills and Practices with Take Home Value
  804.    wt: 13:   Appendix 1 primary and preschool mathematic
  805.    wt: 13:   8 quadratics backward use of various formulas
  806.    wt: 13:   1 Degrees and Radians Introduction
  807.    wt: 13:   7 Coordinate Addition and Scalar Multiplication
  808.    wt: 13:   4 graphing y=Asin(x c)
  809.    wt: 13:   1 graphing y=f(x a)
  810.    wt: 13:   Straight Lines ASA Intersection Study More
  811.    wt: 13:   Straight Lines ASA Intersection Study
  812.    wt: 13:   14 Straight Lines Equations General Case
  813.    wt: 13:   6 Tangent Function Inclination Angle Take 2
  814.    wt: 13:   35 sines and cosines of 2A 3A 4A 5A
  815.    wt: 13:   34 sines and cosines of 2A 3A 4A 5A
  816.    wt: 13:   33 sines and cosines of 2A 3A 4A 5A
  817.    wt: 13:   29 secant cosecant and cotangent for acute angles
  818.    wt: 13:   18 sum of sinusoidal waves as a single wave
  819.    wt: 13:   2 Similar Triangles Equality of Corresponding Side Ratios
  820.    wt: 13:   9 Similarity of Triangles Usual Criteria
  821.    wt: 13:   7 Translations Rotations Reflections Dilatations
  822.    wt: 13:   5 Similarity of Circles Squares and Rectangles
  823.    wt: 13:   11 Triangle Inequality
  824.    wt: 13:   PS H Distributive Law For Complex Numbers
  825.    wt: 13:   8 Isoceles Triangles
  826.    wt: 13:   5 Side Angle Side
  827.    wt: 13:   8 More Use of Maps Not Drawn to Scale
  828.    wt: 13:   5 Drawing to Scale Avoids Angle Distortions
  829.    wt: 13:   4 Rates Ratios and Proporitionality
  830.    wt: 13:   2 More and Less Than for Counts and Measures
  831.    wt: 13:   5 Gaussian Elimination for 3 unknowns 2nd example
  832.    wt: 13:   3 Gaussian Elimination 3 unknowns first example
  833.    wt: 13:   3 GE III Equation Addition and Multiplication
  834.    wt: 13:   2 Another Rectangle Area Formula Example
  835.    wt: 13:   C Equality for Fractions and Two Term Ratios and Fractions
  836.    wt: 13:   8 Numerals Fractionals Quantals Take II
  837.    wt: 13:   Long Division forwards and backwards Example 3
  838.    wt: 13:   Long Division forwards and backwards Example 2
  839.    wt: 13:   Long Division forwards and backwards Example 1
  840.    wt: 13:   A Elementary Basis for Multiplication Methods
  841.    wt: 13:   Subtraction with J Conversions Example
  842.    wt: 13:   Subtraction Another Video Lesson
  843.    wt: 13:   6 Subtraction with Conversion Example with Exercises
  844.    wt: 13:   5 A Tip for Efficent Subtraction
  845.    wt: 13:   4 Subtraction with Conversions Borrows and Letter J
  846.    wt: 13:   4. How to add with decimals B with conversions
  847.    wt: 13:   2 Decimal Counting Practices
  848.    wt: 13:   9 Place Value Review Decimal form of Avogrados number included
  849.    wt: 13:   Example 1. Area Between x and x squared
  850.    wt: 13:   Chapter 4 Logic for Reading Writing and Geometry etc
  851.    wt: 13:   Chapter 3 Algebra Starter Lessons
  852.    wt: 12:   C LAMP Introduction Culture in Mathematics Education
  853.    wt: 12:   Ramblings Introduction Algebra Essay
  854.    wt: 12:   5 Natural Logarithm Calculator Exercises
  855.    wt: 12:   3 Natural Logarithms and Exponentials Basic Properties
  856.    wt: 12:   11 arctan left inverse of tangent Graph
  857.    wt: 12:   A Global Time and Navigation
  858.    wt: 12:   3 graphing y=f(x c) plus K
  859.    wt: 12:   Straight Lines Instersection Solving Equations
  860.    wt: 12:   Straight Lines Intersection of
  861.    wt: 12:   D Straight Lines Slope from Coordinates Examples
  862.    wt: 12:   A Straight Line Slope Scaling Properties
  863.    wt: 12:   8 Straight Lines Equation for vertical
  864.    wt: 12:   22 sine of 22.5 degrees via half angle formulas
  865.    wt: 12:   16 Right Triangle Complementary Angle Relations
  866.    wt: 12:   5 Trigonometric Ratios For Tangent and Special Triangles
  867.    wt: 12:   8 Similarity of Triangles and Polygons
  868.    wt: 12:   1 Early Concept of Like or Similar Shapes
  869.    wt: 12:   1 Numerical view of lines and their equations
  870.    wt: 12:   8 Distance Between Points on a Line
  871.    wt: 12:   7 Complex Numbers Appetizer
  872.    wt: 12:   4 Side Side Side
  873.    wt: 12:   2 Measuring Area Directly
  874.    wt: 12:   5 Areas of Rectangles Revisited
  875.    wt: 12:   4 Fraction Operations Axiomatic Development
  876.    wt: 12:   3 Inequalities Algebraically
  877.    wt: 12:   5 Proportionality in Equivalent Fractions
  878.    wt: 12:   2 Algebraic View
  879.    wt: 12:   9 Circle Area and Perimeter Formula Backwards Forwards
  880.    wt: 12:   4 Rectangle Area and Like Formulas Backwards
  881.    wt: 12:   5 Greater More Less Than Signs in General
  882.    wt: 12:   4 Comparison of Negative Numbers
  883.    wt: 12:   4 GE III Animated Examples
  884.    wt: 12:   2 Three Examples
  885.    wt: 12:   6 Pythagorean Hypotenuse Calculation Example
  886.    wt: 12:   3 Triangle Area Formula Example
  887.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  888.    wt: 12:   10 Simplification of Fractions and Mixed Numerals
  889.    wt: 12:   7 Numerals Fractionals Quantals
  890.    wt: 12:   6 Multiplication Algebraically Take II
  891.    wt: 12:   A Decimals Modular and Remainder Arithmetic
  892.    wt: 12:   C Counting Areas with Powers of Ten
  893.    wt: 12:   Video Decimal Multiplication Geometric View Example 2
  894.    wt: 12:   Video Decimal Multiplication Geometric View Example 2
  895.    wt: 12:   Video Power Notation in Decimal Expansion
  896.    wt: 12:   9 22 Minute Subtraction Review Video
  897.    wt: 12:   Appendix 1 Counting Revisited 15 minute video
  898.    wt: 12:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  899.    wt: 12:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  900.    wt: 12:   5 More on Groups of 3 Place Value in Decimal Fractions
  901.    wt: 12:   4 Groups of 3 Place Value in Decimal Fractions
  902.    wt: 12:   Example 1 volume of a pyramid
  903.    wt: 12:   Chapter 16 Origins and Limitations of Rules and Patterns
  904.    wt: 12:   Chapter 14 Deductive and Empirical Views of Mathematics
  905.    wt: 12:   Chapter 4 Implication Rules Forwards and Backwards
  906.    wt: 12:   Appendix A Calculus with Proofs for Keen or Gifted
  907.    wt: 12:   Chapter 7 Calculus Previews and Calculus Lightly
  908.    wt: 12:   6 Measuring via counting or arithmetic the role of fractions
  909.    wt: 12:   5 Interpreting and Drawing Maps and Plans.
  910.    wt: 12:   2 Identifying Size and Position Place and Spatial Sense
  911.    wt: 12:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  912.    wt: 11:   Appendix 2 primary school Arithmetic 01
  913.    wt: 11:   E LAMP Introduction Modern Mathematics
  914.    wt: 11:   B LAMP Introduction Curriculum Development Standards
  915.    wt: 11:   Skills Chapter 3 Algebra
  916.    wt: 11:   7 logic review and decimals an odd combination
  917.    wt: 11:   Applied Maths Program14092009 POMME variant
  918.    wt: 11:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  919.    wt: 11:   sign monoticity analysis example 4
  920.    wt: 11:   sign monoticity analysis example 3
  921.    wt: 11:   sign monoticity analysis example 2
  922.    wt: 11:   sign monoticity analysis example 1
  923.    wt: 11:   6 quadratics numerical approach
  924.    wt: 11:   16 cotangent function Definition Graph and Inverse
  925.    wt: 11:   15 cosecant function Definition Graph and Inverse
  926.    wt: 11:   10 arctan left inverse of tangent Definition
  927.    wt: 11:   14 Why Scalar Multiplication Distributes Physical Argument
  928.    wt: 11:   10 Parallelogram Addition Method
  929.    wt: 11:   5 Head To Tail Arrow Addition
  930.    wt: 11:   4 Resultant of a Sum of Movements
  931.    wt: 11:   3 Navigation with Arrows or Vectors
  932.    wt: 11:   C Straight Lines Slope from Coordinates
  933.    wt: 11:   B Straight Line Slope Scaling Properties More
  934.    wt: 11:   13 Straight Lines Finding Equations from 2 points
  935.    wt: 11:   12 Straight Lines Graphing mx plus b
  936.    wt: 11:   11 Straight Lines Graphing y=mx
  937.    wt: 11:   10 Straight Lines through Origin Equations More
  938.    wt: 11:   9 Straight Lines through Origin Equations
  939.    wt: 11:   7 Tangent Function is odd on this domain
  940.    wt: 11:   5 Tangent Function Graph
  941.    wt: 11:   2 Straight Lines Slopes As Rise Over Run
  942.    wt: 11:   32 seven rows of pascals triangle
  943.    wt: 11:   31 basic secant cosecant cotangent trig identities
  944.    wt: 11:   27 Logarithmic use of products of sines and cosines
  945.    wt: 11:   21 sine and cosine Half Angle Formulas
  946.    wt: 11:   14 cosine even and sine and tangent are odd
  947.    wt: 11:   13 Graph of tangent function many periods
  948.    wt: 11:   10 Graphs of sines and cosines many periods
  949.    wt: 11:   Right Triangle and Unit Circle Trigonometry
  950.    wt: 11:   6 Trigonometry Sines of Supplementary Angles
  951.    wt: 11:   Right Triangle and Unit Circle Trigonometry
  952.    wt: 11:   6 Geometric Diagrams in Class
  953.    wt: 11:   11 A Partial Summary
  954.    wt: 11:   10 Midpoint of [a b] and [b a]
  955.    wt: 11:   5 Algebraic View of Slopes
  956.    wt: 11:   2 point slope equation for a line
  957.    wt: 11:   A Measurement with Ruler Proper Use
  958.    wt: 11:   6 Figuring with Maps Not to Scale
  959.    wt: 11:   15 Head to Tails in place Addition Associative
  960.    wt: 11:   B Decimal Comparison and Subtraction
  961.    wt: 11:   2 Fraction Operations Physical Development
  962.    wt: 11:   3 Proportionality Examples
  963.    wt: 11:   1 What is Proportionality
  964.    wt: 11:   8 Pythagorean Relation Forwards Backwards
  965.    wt: 11:   5 Triangle Area Formula Backwards
  966.    wt: 11:   2 Addition and Multiplication Axioms
  967.    wt: 11:   3 More and Less Than with Unlike Signs
  968.    wt: 11:   2 GE II Comparison
  969.    wt: 11:   6 Algebraic Solution Example
  970.    wt: 11:   4 Four Examples Fractional Coefficients
  971.    wt: 11:   10 One Example
  972.    wt: 11:   9 Three Examples
  973.    wt: 11:   8 One Example
  974.    wt: 11:   7 Two Examples
  975.    wt: 11:   6 Three Examples
  976.    wt: 11:   5 Three Examples
  977.    wt: 11:   4 Two Examples
  978.    wt: 11:   3 Two Examples
  979.    wt: 11:   8 Compound Interest Formula Evaluation
  980.    wt: 11:   4 Circle Area Formula Example
  981.    wt: 11:   1 More and Less Than for Counts and Measures
  982.    wt: 11:   17 Efficient Ways to Add and Subtract
  983.    wt: 11:   16 Addition Subtraction Comparision Compared
  984.    wt: 11:   15 Adding and Subtracting with Unlike Denominators
  985.    wt: 11:   14 Adding and Subtracting with Like Denominators
  986.    wt: 11:   13 Fraction Comparison Algebraic View
  987.    wt: 11:   11 Simplification an Algebraic View
  988.    wt: 11:   3 Unit fraction of a fraction
  989.    wt: 11:   1 What is a fraction Take II
  990.    wt: 11:   Fraction Operations by Raising Terms A Simple Innovation
  991.    wt: 11:   D Decimal Multiplication Methods Derived
  992.    wt: 11:   6 Multiplication Commutes Order Not Important
  993.    wt: 11:   5 Decimal Fraction Multiplication
  994.    wt: 11:   10 Names for Big Numbers and Powers of Ten Expansion
  995.    wt: 11:   2 Groups of Three Place Value for Multidigit Decimals
  996.    wt: 11:   Example 2 volume of a cone
  997.    wt: 11:   Area Between Crossing Curves Lesson Take 2
  998.    wt: 11:   Area Between Crossing Curves Lesson Take 1
  999.    wt: 11:   Area Between Curves Lesson Take 2
  1000.    wt: 11:   Area Between Curves Lesson Take 1
  1001.    wt: 11:   A Chain Rule Real Player video examples
  1002.    wt: 11:   16 Derivatives of reciprocals of sine and cosine
  1003.    wt: 11:   Chapter 14. Forward and Backward Use of a Formula
  1004.    wt: 11:   Chapter 22 Contrapositive and Vacuously True Implications
  1005.    wt: 11:   Chapter 8 Change of Language
  1006.    wt: 11:   Chapter 8 Skipped Topics and Why
  1007.    wt: 11:   4 Money Matters Saving Earning Buying Selling and Budgets
  1008.    wt: 11:   3 Telling Tracking Time Temporal and More Place Sense
  1009.    wt: 10:   K LAMP Musings Science Education
  1010.    wt: 10:   I LAMP Introduction Study Habits
  1011.    wt: 10:   H LAMP Introduction Instructional Concepts
  1012.    wt: 10:   Skills Chapter 5 Calculus
  1013.    wt: 10:   Ramblings Extrinsic numbers theory
  1014.    wt: 10:   Skills Chapter 2 Geometry
  1015.    wt: 10:   Skills Chapter 1 Arithmetic
  1016.    wt: 10:   8 analytic geometry etc
  1017.    wt: 10:   5 logarithms and exponentials etc
  1018.    wt: 10:   3 Euclidean Geometry Leanly
  1019.    wt: 10:   Mathematics Education Professors
  1020.    wt: 10:   talk the algebra talk
  1021.    wt: 10:   teaching tutoring algebraic reason
  1022.    wt: 10:   three goals for Mathematics Education
  1023.    wt: 10:   standards for course material
  1024.    wt: 10:   Education in mathematics science and technology
  1025.    wt: 10:   three kinds of reason in mathematics
  1026.    wt: 10:   education an empirical art
  1027.    wt: 10:   9 quadratics physical and further context
  1028.    wt: 10:   4 quadratics difference of two squares
  1029.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms
  1030.    wt: 10:   1 Calculator Starter Exercises
  1031.    wt: 10:   14 secant function Definition Graph and Inverse
  1032.    wt: 10:   13 cosecant function Definition Graph and Inverse
  1033.    wt: 10:   12 motivation for term arctan
  1034.    wt: 10:   9 motivation for name arcsin
  1035.    wt: 10:   8 arcsin left inverse of sine Graph
  1036.    wt: 10:   6 Graph of arccos function
  1037.    wt: 10:   5 Swapping Coordinates is a reflection
  1038.    wt: 10:   12 From Applied To Pure Mathematics
  1039.    wt: 10:   9 Head to Tail Coordinate View
  1040.    wt: 10:   4 Tangent Function Properties
  1041.    wt: 10:   1 Straight Lines Slope Concept
  1042.    wt: 10:   17 tangent function angle sum formulas
  1043.    wt: 10:   30 unit circle calculation of six trigonometric functions
  1044.    wt: 10:   26 Formulas for products of sines and cosines
  1045.    wt: 10:   25 tangent double angle formula Slope connection
  1046.    wt: 10:   24 tangent Angle Difference Formula
  1047.    wt: 10:   20 sine and cosine Double Angle Formulas
  1048.    wt: 10:   19 Pythagorean Identity For sine and cosine functions
  1049.    wt: 10:   15 sine cosine Complementary Angle Relations
  1050.    wt: 10:   12 Graph of tangent function for one period
  1051.    wt: 10:   11 tangent function undefined when terminal side vertical
  1052.    wt: 10:   9 Graphs of sine and cosine over one period
  1053.    wt: 10:   2 Quadrant I reference Angles
  1054.    wt: 10:   5 An Easy Proof of the Distributive Law
  1055.    wt: 10:   1 Rectangular Polar Coordinates Review
  1056.    wt: 10:   8 Triangles Cascade Problem Solving
  1057.    wt: 10:   4 Trigonometric Ratios For Two Special Triangles
  1058.    wt: 10:   12 Triangles Similarity More Problems
  1059.    wt: 10:   11 Triangle Similarity Missing Side Problem
  1060.    wt: 10:   4 Similarity Definition with Coordinate
  1061.    wt: 10:   3 Similarity by Design with coordinates
  1062.    wt: 10:   9 Midpoint Coordinates Half Endpoint Sum
  1063.    wt: 10:   7 Exercises to test skill and concept mastery
  1064.    wt: 10:   6 Intersection of lines by solving linear systems
  1065.    wt: 10:   What is and is not here
  1066.    wt: 10:   1 Length Measurement
  1067.    wt: 10:   A Modular and Remainder Arithmetic
  1068.    wt: 10:   25 Mid way Convergence to Axiomatic Approach
  1069.    wt: 10:   13 Arrows and Vectors in a Plane
  1070.    wt: 10:   A Decimal Addition Columm Methods
  1071.    wt: 10:   7 Decimals Multiplication Methods Examples
  1072.    wt: 10:   2 Combing Counts Addition Skills and Principles
  1073.    wt: 10:   7 Pythagorean Theorem Chinese Square Proof
  1074.    wt: 10:   6 Compound Interest Forward and Backwards
  1075.    wt: 10:   6 Equations and Systems Equivalent or Implied
  1076.    wt: 10:   5 Equality in Algebra
  1077.    wt: 10:   4 Subtraction and Division Axioms
  1078.    wt: 10:   1 Real Numbers Comparison
  1079.    wt: 10:   1 GE Substitution four examples
  1080.    wt: 10:   4 Solving a triangular system exercise
  1081.    wt: 10:   3 Solving triangular system example
  1082.    wt: 10:   5 Algebraic Solutions Introduction
  1083.    wt: 10:   2 Three Examples
  1084.    wt: 10:   Skill Development Notes
  1085.    wt: 10:   13 Naming Identifying Formulas with Words
  1086.    wt: 10:   10 Volume of Pyramid
  1087.    wt: 10:   4 Greater More Less Than Signs in General
  1088.    wt: 10:   3 Comparison of Negative Numbers
  1089.    wt: 10:   2 More and Less Than with Unlike Signs
  1090.    wt: 10:   3 Properties of Square Roots with example
  1091.    wt: 10:   1 Squares and Square Roots Introduction
  1092.    wt: 10:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  1093.    wt: 10:   9 GCD of 360 110 via Primes and Euclid Algorithm
  1094.    wt: 10:   6 Simplification of Fractions with Units
  1095.    wt: 10:   1 Addition and Subtraction with Units
  1096.    wt: 10:   B Fractions and Two Term Ratios
  1097.    wt: 10:   21 Reciprocals for Fractions and Wholes
  1098.    wt: 10:   1 What is a fraction
  1099.    wt: 10:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  1100.    wt: 10:   19 Remainder Arithmetic Rule of 9 for checking sums III
  1101.    wt: 10:   18 Remainder Arithmetic Rule of 9 for checking sums II
  1102.    wt: 10:   17 Remainder Arithmetic Rule of 9 for checking sums I
  1103.    wt: 10:   16 Remainder Arithmetic Modulo 9 Example 2
  1104.    wt: 10:   15 Remainder Arithmetic Modulo 9 Example
  1105.    wt: 10:   14 Remainder Arithmetic Modulo 9 Example
  1106.    wt: 10:   13 Remainder Arithmetic Modulo 5 Example
  1107.    wt: 10:   12 Remainder Arithmetic Modulo 10 Example
  1108.    wt: 10:   8 Remainder Arithmetic Morulo 5 Examples II
  1109.    wt: 10:   7 Remainder Arithmetic Modulo 5 Examples I
  1110.    wt: 10:   4 Remainder Arithmetic Modulo 10 in general
  1111.    wt: 10:   15 video Factors of 20 using Prime Factorization
  1112.    wt: 10:   7 Calculator Usage Notes and Cautions
  1113.    wt: 10:   6 Sieve of Eratosthenes and Square Rule
  1114.    wt: 10:   5 Prime Factorization and a Square Rule
  1115.    wt: 10:   Long Division Backwards more
  1116.    wt: 10:   Long Division Backward
  1117.    wt: 10:   11 Another Single Digit Divisor Example
  1118.    wt: 10:   10 Division by Five Long and Short Ways
  1119.    wt: 10:   7 Long Divison Mistake Catching
  1120.    wt: 10:   6 Why Decimal Long Division Methods Works Take I
  1121.    wt: 10:   1 Divsion Physical Examples
  1122.    wt: 10:   B Powers of Ten
  1123.    wt: 10:   4 Two and Three Digit Multipliers
  1124.    wt: 10:   2 One Digit Multipliers
  1125.    wt: 10:   3 More on Groups of 3 Multi Digit Place Value
  1126.    wt: 10:   9 Comparison and Subtraction of Time Intervals
  1127.    wt: 10:   8 Addition of Time Intervals via subtotaling
  1128.    wt: 10:   Example 4 with x function of y
  1129.    wt: 10:   33 Chain Rule Real Player video examples
  1130.    wt: 10:   28 Chain Rule Preparation for a Proof
  1131.    wt: 10:   25 Chain Rule Animated Examples Continued
  1132.    wt: 10:   24 Chain Rule Animated Examples
  1133.    wt: 10:   17 Derivatives of quotients of sine and cosine
  1134.    wt: 10:   7 Animated Differentiation Examples
  1135.    wt: 10:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  1136.    wt: 10:   Chapter 17 Objective Ways Trial and Error Discovery
  1137.    wt: 10:   Chapter 12 Islands and Divisions of Knowledge
  1138.    wt: 10:   Chapter 11 Accidental Patterns
  1139.    wt: 10:   Chapter 7 Longer Chains of Reason
  1140.    wt: 10:   Chapter 6 Chains of Reason
  1141.    wt: 10:   Chapter 2 Why Sets
  1142.    wt: 10:   Chapter 1 Arithmetic
  1143.    wt: 10:   7 Games and Activities for Instruction
  1144.    wt: 10:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  1145.    wt: 10:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  1146.    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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