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

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

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

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

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

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

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

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85 matches:

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

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

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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