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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

85 matches:

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

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

1137 matches:

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

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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.