Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic and Pattern Based Reason to inform and amuse.

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

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

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

Welcome:Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin.

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 focus on skills with actual or potential local 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:   11 Parallel Straight Lines and Transversals/
  2.    wt: 9:   6 More Less Greater Than Inequalities and Comparison/
  3.    wt: 9:   Step 1 Stick diagram and fractions/
  4.    wt: 8:   5 Factored Polynomial Sign Analysis Examples/
  5.    wt: 8:   14 Degrees to Radians and Radians to Degrees/
  6.    wt: 8:   3 Cartesian and Polar Coordinates/
  7.    wt: 8:   9 Proportionality Backwards and Forwards/
  8.    wt: 8:   Step 4 Gaussian Elimination/
  9.    wt: 8:   B Decimal Comparing and Subtracting Methods/
  10.    wt: 8:   A Decimal Counting and Adding Methods/
  11.    wt: 8:   Secondary Mathematics A Practical Approach/
  12.    wt: 7:   LAMP Lean Applied Mathematics Program/
  13.    wt: 7:   12 Function Translating and Rescaling/
  14.    wt: 7:   10 Intersecting Straight Lines and Transversals/
  15.    wt: 7:   1 Maps Plans Measurement/
  16.    wt: 7:   10 Examples of Algebraic Reasoning/
  17.    wt: 7:   7 Axioms Logic and Equivalent Equations/
  18.    wt: 7:   Step 2 Algebraic solutions for one unknown/
  19.    wt: 7:   2 Formula Forward Use Evaluation/
  20.    wt: 7:   12 Webvideo Lessons on Area and Volume Calculation/
  21.    wt: 6:   Progressive Observable Motivated Mathematics Education/
  22.    wt: 6:   2 Natural Logarithms Exponentials Powers Roots/
  23.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  24.    wt: 6:   5 What is Similarity/
  25.    wt: 6:   4 Computation Rules and Function Notation/
  26.    wt: 6:   Step 3 Easy systems in 2 or more unknowns/
  27.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  28.    wt: 6:   D Decimal Long Division Methods/
  29.    wt: 6:   C Decimal Multiplication Methods/
  30.    wt: 6:   PreSchool and Primary Mathematics or Quantitative Skills/
  31.    wt: 5:   3 Quadratics Geometrically/
  32.    wt: 5:   4 Lines and Slopes Take 1/
  33.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  34.    wt: 5:   A Origins of Counting and Figuring Methods/
  35.    wt: 5:   8 Unifying Theme For Algebra/
  36.    wt: 5:   3 Solving Linear Equations/
  37.    wt: 5:   12 Comparison of Unsigned and Signed Numbers/
  38.    wt: 5:   11 Squares and Square Roots/
  39.    wt: 5:   9 Combinatorics Trees Tables and Products/
  40.    wt: 5:   7 Arithmetic and Fractions with Units/
  41.    wt: 5:   6 Fractions and Ratios/
  42.    wt: 5:   1 Decimal Place Value/
  43.    wt: 5:   38 Lessons on Calculating Derivatives/
  44.    wt: 5:   Volume 1A Pattern Based Reason/
  45.    wt: 4:   Mathematics Education Essays/
  46.    wt: 4:   Volume 1A Regles et modeles/
  47.    wt: 4:   Mathematics Skills Year by Year/
  48.    wt: 4:   1 Five Polynomial Operations/
  49.    wt: 4:   15 Arc or Inverse Trigonometric Function/
  50.    wt: 4:   6 Trigonometry first steps/
  51.    wt: 4:   B Real Numbers Extrinsic Development/
  52.    wt: 4:   5 Real Numbers/
  53.    wt: 4:   10 LCM GCD and Euclid GCD Algorithm/
  54.    wt: 4:   3 Prime Factorization Skills/
  55.    wt: 4:   2 Arithmetic with Decimals/
  56.    wt: 4:   Time Date Matters/
  57.    wt: 4:   Advanced Calculus Volume 3 Appendices/
  58.    wt: 4:   Mathematics 506 Lessons/
  59.    wt: 3:   francais/
  60.    wt: 3:   13 Vectors/
  61.    wt: 3:   8 Unit Circle Trigonometry/
  62.    wt: 3:   7 Complex Numbers/
  63.    wt: 3:   Geometry maps plans trigonometry vectors/
  64.    wt: 3:   1 Working With Sets/
  65.    wt: 3:   Algebra Starter Lessons/
  66.    wt: 3:   8 Arithmetic with Signed Numbers/
  67.    wt: 3:   5 Lessons on Integration/
  68.    wt: 3:   4 Lessons on Using Derivatives/
  69.    wt: 3:   13 Lessons on Limits and Continuity/
  70.    wt: 3:   Volume 3 Why Slopes A Calculus Intro Etc/
  71.    wt: 3:   Mathematics Skill Development Framework/
  72.    wt: 2:   4 Functions/
  73.    wt: 2:   More Algebra/
  74.    wt: 2:   5 Integers/
  75.    wt: 2:   Arithmetic and Number Theory Skills/
  76.    wt: 2:   Skills with take home value/
  77.    wt: 2:   70 Calculus Starter Lessons/
  78.    wt: 2:   Volume 2 Three Skills For Algebra/
  79.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  80.    wt: 2:   Work and Study Tips/
  81.    wt: 2:   Resources and Reciprocal Links/
  82.    wt: 2:   Quebec Material/
  83.    wt: 1:   Archives/
  84.    wt: 1:   Parent Center/
  85.    wt: 1:   Volume 1 Elements of Reason/

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1081 matches:

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