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

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

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

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

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

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

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

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

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1077 matches:

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

Extended Search

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

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

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

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

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