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

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

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

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

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

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

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

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

Web Page Search

1086 matches:

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

Extended Search

1139 matches:

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