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

Web Page Search

1097 matches:

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

Extended Search

1139 matches:

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

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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