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

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

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

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

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

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

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

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85 matches:

  1.    wt: 9:   9 Proportionality Backwards and Forwards/
  2.    wt: 9:   Step 2 Algebraic solutions for one unknown/
  3.    wt: 9:   Step 1 Stick diagram and fractions/
  4.    wt: 9:   C Decimal Multiplication Methods/
  5.    wt: 8:   12 Function Translating and Rescaling/
  6.    wt: 8:   11 Parallel Straight Lines and Transversals/
  7.    wt: 8:   6 More Less Greater Than Inequalities and Comparison/
  8.    wt: 8:   Step 4 Gaussian Elimination/
  9.    wt: 8:   D Decimal Long Division Methods/
  10.    wt: 8:   12 Webvideo Lessons on Area and Volume Calculation/
  11.    wt: 8:   Secondary Mathematics A Practical Approach/
  12.    wt: 7:   LAMP Lean Applied Mathematics Program/
  13.    wt: 7:   Progressive Observable Motivated Mathematics Education/
  14.    wt: 7:   2 Natural Logarithms Exponentials Powers Roots/
  15.    wt: 7:   14 Degrees to Radians and Radians to Degrees/
  16.    wt: 7:   3 Cartesian and Polar Coordinates/
  17.    wt: 7:   7 Axioms Logic and Equivalent Equations/
  18.    wt: 7:   4 Computation Rules and Function Notation/
  19.    wt: 7:   Step 3 Easy systems in 2 or more unknowns/
  20.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  21.    wt: 7:   2 Arithmetic with Decimals/
  22.    wt: 7:   PreSchool and Primary Mathematics or Quantitative Skills/
  23.    wt: 6:   5 Factored Polynomial Sign Analysis Examples/
  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:   11 Squares and Square Roots/
  29.    wt: 6:   9 Combinatorics Trees Tables and Products/
  30.    wt: 6:   7 Arithmetic and Fractions with Units/
  31.    wt: 6:   6 Fractions and Ratios/
  32.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  33.    wt: 6:   3 Prime Factorization Skills/
  34.    wt: 6:   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:   1 Maps Plans Measurement/
  41.    wt: 5:   A Origins of Counting and Figuring Methods/
  42.    wt: 5:   8 Unifying Theme For Algebra/
  43.    wt: 5:   3 Solving Linear Equations/
  44.    wt: 5:   10 LCM GCD and Euclid GCD Algorithm/
  45.    wt: 5:   Time Date Matters/
  46.    wt: 4:   3 Quadratics Geometrically/
  47.    wt: 4:   5 What is Similarity/
  48.    wt: 4:   4 Lines and Slopes Take 1/
  49.    wt: 4:   B Real Numbers Extrinsic Development/
  50.    wt: 4:   5 Real Numbers/
  51.    wt: 4:   8 Arithmetic with Signed Numbers/
  52.    wt: 4:   Advanced Calculus Volume 3 Appendices/
  53.    wt: 4:   Mathematics 506 Lessons/
  54.    wt: 3:   Volume 1A Regles et modeles/
  55.    wt: 3:   1 Five Polynomial Operations/
  56.    wt: 3:   15 Arc or Inverse Trigonometric Function/
  57.    wt: 3:   1 Working With Sets/
  58.    wt: 3:   Algebra Starter Lessons/
  59.    wt: 3:   5 Integers/
  60.    wt: 3:   Arithmetic and Number Theory Skills/
  61.    wt: 3:   Skills with take home value/
  62.    wt: 3:   5 Lessons on Integration/
  63.    wt: 3:   4 Lessons on Using Derivatives/
  64.    wt: 3:   13 Lessons on Limits and Continuity/
  65.    wt: 3:   Volume 1B Mathematics Curriculum Notes/
  66.    wt: 3:   Mathematics Skill Development Framework/
  67.    wt: 2:   francais/
  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

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

Extended Search

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