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

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

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

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

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

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

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

Home << Search

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

Key Word Search

Folder Search

85 matches:

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

Web Page Search

1093 matches:

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

Extended Search

1140 matches:

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

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

Return to Page Top

Home << Search

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

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

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

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

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