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

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

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

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

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

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

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

Home << Search

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

Key Word Search

Folder Search

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: 9:   12 Webvideo Lessons on Area and Volume Calculation/
  6.    wt: 8:   12 Function Translating and Rescaling/
  7.    wt: 8:   11 Parallel Straight Lines and Transversals/
  8.    wt: 8:   6 More Less Greater Than Inequalities and Comparison/
  9.    wt: 8:   Step 4 Gaussian Elimination/
  10.    wt: 8:   D Decimal Long Division Methods/
  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:   Step 3 Easy systems in 2 or more unknowns/
  19.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  20.    wt: 7:   2 Arithmetic with Decimals/
  21.    wt: 7:   PreSchool and Primary Mathematics or Quantitative Skills/
  22.    wt: 6:   5 Factored Polynomial Sign Analysis Examples/
  23.    wt: 6:   10 Intersecting Straight Lines and Transversals/
  24.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  25.    wt: 6:   2 Euclidean Geometry Constructions Theory extras/
  26.    wt: 6:   10 Examples of Algebraic Reasoning/
  27.    wt: 6:   4 Computation Rules and Function Notation/
  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: 5:   Advanced Calculus Volume 3 Appendices/
  47.    wt: 4:   Volume 1A Regles et modeles/
  48.    wt: 4:   3 Quadratics Geometrically/
  49.    wt: 4:   5 What is Similarity/
  50.    wt: 4:   4 Lines and Slopes Take 1/
  51.    wt: 4:   B Real Numbers Extrinsic Development/
  52.    wt: 4:   5 Real Numbers/
  53.    wt: 4:   8 Arithmetic with Signed Numbers/
  54.    wt: 4:   Volume 1B Mathematics Curriculum Notes/
  55.    wt: 4:   Mathematics 506 Lessons/
  56.    wt: 3:   1 Five Polynomial Operations/
  57.    wt: 3:   15 Arc or Inverse Trigonometric Function/
  58.    wt: 3:   1 Working With Sets/
  59.    wt: 3:   Algebra Starter Lessons/
  60.    wt: 3:   5 Integers/
  61.    wt: 3:   Arithmetic and Number Theory Skills/
  62.    wt: 3:   Skills with take home value/
  63.    wt: 3:   5 Lessons on Integration/
  64.    wt: 3:   4 Lessons on Using Derivatives/
  65.    wt: 3:   13 Lessons on Limits and Continuity/
  66.    wt: 3:   Volume 3 Why Slopes A Calculus Intro Etc/
  67.    wt: 3:   Volume 1 Elements of Reason/
  68.    wt: 3:   Mathematics Skill Development Framework/
  69.    wt: 2:   francais/
  70.    wt: 2:   13 Vectors/
  71.    wt: 2:   8 Unit Circle Trigonometry/
  72.    wt: 2:   7 Complex Numbers/
  73.    wt: 2:   6 Trigonometry first steps/
  74.    wt: 2:   Geometry maps plans trigonometry vectors/
  75.    wt: 2:   70 Calculus Starter Lessons/
  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

1089 matches:

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

Return to Page Top

Home << Search

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

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

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

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

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