Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers in school and out. See site volumes.

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

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

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

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

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

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

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85 matches:

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

Web Page Search

1096 matches:

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

Extended Search

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

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

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

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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