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

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

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

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

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

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

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

Home << Search

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

Key Word Search

Folder Search

85 matches:

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

Web Page Search

1100 matches:

  1.    wt: 9:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  2.    wt: 9:   13 Pythagorean spatial distance formulas
  3.    wt: 9:   Primary and Secondary Skills and Practices with Take Home Value
  4.    wt: 9:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  5.    wt: 9:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  6.    wt: 8:   14 Why Scalar Multiplication Distributes Physical Argument
  7.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  8.    wt: 8:   3 Lengths and Areas on Maps and Plans
  9.    wt: 8:   11 Place Value SI Standard International way
  10.    wt: 8:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  11.    wt: 7:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  12.    wt: 7:   sign monoticity analysis example 3
  13.    wt: 7:   3 Natural Logarithms and Exponentials Basic Properties
  14.    wt: 7:   Parallel Lines and Parallel Transversals
  15.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  16.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  17.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  18.    wt: 7:   10 Pythagorean plane distance formula
  19.    wt: 7:   9 Circle Area and Perimeter Formula Backwards Forwards
  20.    wt: 7:   8 Pythagorean Relation Forwards Backwards
  21.    wt: 7:   4 Rectangle Area and Like Formulas Backwards
  22.    wt: 7:   6 Pythagorean Hypotenuse Calculation Example
  23.    wt: 7:   C Equality for Fractions and Two Term Ratios and Fractions
  24.    wt: 7:   Fraction Operations by Raising Terms A Simple Innovation
  25.    wt: 7:   Long Division forwards and backwards Example 3
  26.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  27.    wt: 7:   33 Chain Rule Real Player video examples
  28.    wt: 7:   Chapter 14. Forward and Backward Use of a Formula
  29.    wt: 7:   Chapter 17 Objective Ways Trial and Error Discovery
  30.    wt: 7:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  31.    wt: 7:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  32.    wt: 6:   Appendix 1 primary and preschool mathematic
  33.    wt: 6:   Ramblings Introduction Algebra Essay
  34.    wt: 6:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  35.    wt: 6:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  36.    wt: 6:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  37.    wt: 6:   5 Patience Please for Yourself and Your Charges
  38.    wt: 6:   sign monoticity analysis example 4
  39.    wt: 6:   sign monoticity analysis example 2
  40.    wt: 6:   sign monoticity analysis example 1
  41.    wt: 6:   8 quadratics backward use of various formulas
  42.    wt: 6:   5 Natural Logarithm Calculator Exercises
  43.    wt: 6:   6 Polynomial Operations and Equivalent Computation Rules
  44.    wt: 6:   9 Summary Degrees to Radians and back
  45.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  46.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  47.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  48.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  49.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  50.    wt: 6:   29 secant cosecant and cotangent for acute angles
  51.    wt: 6:   5 Cartesian Addition and Translation
  52.    wt: 6:   PS F Scalar Multiplication Distributes over Addition
  53.    wt: 6:   4 Angles on Maps Plans drawn to scale
  54.    wt: 6:   25 Mid way Convergence to Axiomatic Approach
  55.    wt: 6:   15 Head to Tails in place Addition Associative
  56.    wt: 6:   3 Inequalities Algebraically
  57.    wt: 6:   5 Triangle Area Formula Backwards
  58.    wt: 6:   3 Gaussian Elimination 3 unknowns first example
  59.    wt: 6:   3 Triangle Area Formula Example
  60.    wt: 6:   2 Another Rectangle Area Formula Example
  61.    wt: 6:   3 signed coordinates for maps and planes
  62.    wt: 6:   13 Fraction Comparison Algebraic View
  63.    wt: 6:   8 Numerals Fractionals Quantals Take II
  64.    wt: 6:   6 Multiplication Algebraically Take II
  65.    wt: 6:   A Decimals Modular and Remainder Arithmetic
  66.    wt: 6:   Long Division forwards and backwards Example 2
  67.    wt: 6:   Long Division forwards and backwards Example 1
  68.    wt: 6:   A Elementary Basis for Multiplication Methods
  69.    wt: 6:   3 Harder Cases Convert to Compare and Subtract
  70.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  71.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  72.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  73.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  74.    wt: 6:   A Chain Rule Real Player video examples
  75.    wt: 6:   7 Evaluation by immediate or delayed substitution
  76.    wt: 6:   Chapter 19. Exponentials and Natural Logarithms
  77.    wt: 6:   Chapter 14 Limits and Continuity with and sans Decimals
  78.    wt: 6:   Chapter 3. Slope Sign Analysis
  79.    wt: 6:   Appendix E. How To Study Mathematics and Why
  80.    wt: 6:   Chapter 29 Contrapositive and Vacuously True Implications
  81.    wt: 6:   Chapter 2 Implication Rules Forwards and Backwards
  82.    wt: 6:   Chapter 2 For and Against Mathematics
  83.    wt: 6:   Chapter 22 Contrapositive and Vacuously True Implications
  84.    wt: 6:   Chapter 4 Implication Rules Forwards and Backwards
  85.    wt: 6:   V Reasons and Motivations for Logic and Mathematics
  86.    wt: 6:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  87.    wt: 6:   5 Interpreting and Drawing Maps and Plans.
  88.    wt: 6:   4 Money Matters Saving Earning Buying Selling and Budgets
  89.    wt: 6:   2 Identifying Size and Position Place and Spatial Sense
  90.    wt: 5:   C LAMP Introduction Culture in Mathematics Education
  91.    wt: 5:   8 analytic geometry etc
  92.    wt: 5:   3 Euclidean Geometry Leanly
  93.    wt: 5:   Applied Maths Program14092009 POMME variant
  94.    wt: 5:   Education in mathematics science and technology
  95.    wt: 5:   chapitre 07 00 Des chaines plus longues de la raison
  96.    wt: 5:   chapitre 06 00 Chaines de la raison
  97.    wt: 5:   chapitre 03 A Propos Des Prochains Chapitre
  98.    wt: 5:   2 Conductance Resistance Duality02
  99.    wt: 5:   1 Conductance Resistance Duality01
  100.    wt: 5:   E Wire Resistance Calculation03
  101.    wt: 5:   A Wire Resistance Qualitative01
  102.    wt: 5:   27 Graduated Correction and Penalties for Young Offenders
  103.    wt: 5:   25 Mathematics Education Leaving A Good Impression
  104.    wt: 5:   16 Secondary Mathematics Tips
  105.    wt: 5:   13 Addition and Addition Tables
  106.    wt: 5:   6 Discipline Who is in Charge Conserving Authority
  107.    wt: 5:   25 Absolute Value greatest integer and saw tooth functions
  108.    wt: 5:   17 Function maxima minima and their location
  109.    wt: 5:   4 Function notation in and beyond mathematics
  110.    wt: 5:   A Quadratics Summary
  111.    wt: 5:   9 quadratics physical and further context
  112.    wt: 5:   6 quadratics numerical approach
  113.    wt: 5:   3 quadratics factoring by inspection
  114.    wt: 5:   5 Polynomials Long division Nonlinear divisor
  115.    wt: 5:   4 Polynomials Long division linear divisor
  116.    wt: 5:   3 Polynomials Multiplication Addition
  117.    wt: 5:   7 Radian Measures in special Triangles
  118.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  119.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  120.    wt: 5:   2 Radian Measure Numerical Value of one degree
  121.    wt: 5:   A Global Time and Navigation
  122.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  123.    wt: 5:   31 basic secant cosecant cotangent trig identities
  124.    wt: 5:   19 Pythagorean Identity For sine and cosine functions
  125.    wt: 5:   18 sum of sinusoidal waves as a single wave
  126.    wt: 5:   16 Right Triangle Complementary Angle Relations
  127.    wt: 5:   13 Graph of tangent function many periods
  128.    wt: 5:   5 An Easy Proof of the Distributive Law
  129.    wt: 5:   5 Trigonometric Ratios For Tangent and Special Triangles
  130.    wt: 5:   2 Similar Triangles Equality of Corresponding Side Ratios
  131.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  132.    wt: 5:   9 Similarity of Triangles Usual Criteria
  133.    wt: 5:   8 Similarity of Triangles and Polygons
  134.    wt: 5:   7 Translations Rotations Reflections Dilatations
  135.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  136.    wt: 5:   3 Similarity by Design with coordinates
  137.    wt: 5:   11 A Partial Summary
  138.    wt: 5:   PS D Addition with Cartesian Coordinates
  139.    wt: 5:   5 Drawing to Scale Avoids Angle Distortions
  140.    wt: 5:   A Modular and Remainder Arithmetic
  141.    wt: 5:   13 Arrows and Vectors in a Plane
  142.    wt: 5:   B Decimal Comparison and Subtraction
  143.    wt: 5:   1 Decimals Modular and Remainder Arithmetic
  144.    wt: 5:   4 Rates Ratios and Proporitionality
  145.    wt: 5:   8 Coordinates for Maps and Planes
  146.    wt: 5:   5 Gaussian Elimination for 3 unknowns 2nd example
  147.    wt: 5:   3 GE III Equation Addition and Multiplication
  148.    wt: 5:   4 Solving a triangular system exercise
  149.    wt: 5:   3 Solving triangular system example
  150.    wt: 5:   9 Sets in Probability and Statistics
  151.    wt: 5:   4 A Brief Story of numbers and algebra
  152.    wt: 5:   arithmetic videos Real Player Format
  153.    wt: 5:   A Similarities between Fractions and Two Term Ratios
  154.    wt: 5:   17 Efficient Ways to Add and Subtract
  155.    wt: 5:   16 Addition Subtraction Comparision Compared
  156.    wt: 5:   7 Numerals Fractionals Quantals
  157.    wt: 5:   1 What is a fraction Take II
  158.    wt: 5:   A Associative Law Theorectical Note
  159.    wt: 5:   27 Divisibility by 2 3 6 5 9 10 Example
  160.    wt: 5:   26 Divisibility by 2 3 5 Example
  161.    wt: 5:   11 Remainder Arithmetic Long Division by 5 Quickly more
  162.    wt: 5:   10 Remainder Arithmetic Long Division by 5 Quickly
  163.    wt: 5:   9 Remainder Arithmetic Divisibility by 5
  164.    wt: 5:   7 Calculator Usage Notes and Cautions
  165.    wt: 5:   5 Prime Factorization and a Square Rule
  166.    wt: 5:   10 Division by Five Long and Short Ways
  167.    wt: 5:   Appendix 1 Decimals Comparison Method Take II
  168.    wt: 5:   2 Subtraction Easy Case Examples
  169.    wt: 5:   3. How to add with decimals A sans conversions
  170.    wt: 5:   9 Place Value Review Decimal form of Avogrados number included
  171.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  172.    wt: 5:   Quick history of numbers and algebra
  173.    wt: 5:   Practical Methods Ends and Values for Arithmetic
  174.    wt: 5:   016 Numbering Occidental Calendar Days
  175.    wt: 5:   9 Comparison and Subtraction of Time Intervals
  176.    wt: 5:   Example 1. Area Between x and x squared
  177.    wt: 5:   A Related Material in Volume 3
  178.    wt: 5:   38 Formulas and derivatives for powers and roots
  179.    wt: 5:   1 Fall 1983 Why Slopes Appetizer
  180.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  181.    wt: 5:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  182.    wt: 5:   Postscript Pythagorean Theorem yet another proof
  183.    wt: 5:   Chapter 18. Slopes Areas Integration
  184.    wt: 5:   Chapter 17. Area Approximation
  185.    wt: 5:   Chapter 15. Algebraic Evaluation of Limits
  186.    wt: 5:   Chapter 4. More Slope Sign Analysis
  187.    wt: 5:   Chapter 26 What is in chapters 27 to 31
  188.    wt: 5:   Chapter 25. Mathematical Induction Examples
  189.    wt: 5:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  190.    wt: 5:   Chapter 10 Describing and Changing Calculations
  191.    wt: 5:   Chapter 5 Islands and Divisions of Knowledge
  192.    wt: 5:   Chapter 6 Rule Based Reason in Mathematics
  193.    wt: 5:   Postscript C Consistency as a Tool for Reason
  194.    wt: 5:   Chapter 16 Origins and Limitations of Rules and Patterns
  195.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
  196.    wt: 5:   Chapter 12 Islands and Divisions of Knowledge
  197.    wt: 5:   Chapter 3 What is in chapters 4 to 8
  198.    wt: 5:   Chapter 7 Calculus Previews and Calculus Lightly
  199.    wt: 5:   Chapter 6 More Algebra and Geometry
  200.    wt: 5:   Chapter 4 Logic for Reading Writing and Geometry etc
  201.    wt: 5:   Chapter 3 Algebra Starter Lessons
  202.    wt: 5:   3 Telling Tracking Time Temporal and More Place Sense
  203.    wt: 5:   More Algebra and Slope based Calculus Preview
  204.    wt: 5:   Systematic Algebra Skill Development Missing Links
  205.    wt: 5:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  206.    wt: 4:   Appendix 2 primary school Arithmetic 01
  207.    wt: 4:   I LAMP Introduction Study Habits
  208.    wt: 4:   E LAMP Introduction Modern Mathematics
  209.    wt: 4:   B LAMP Introduction Curriculum Development Standards
  210.    wt: 4:   Skills Chapter 3 Algebra
  211.    wt: 4:   7 logic review and decimals an odd combination
  212.    wt: 4:   5 logarithms and exponentials etc
  213.    wt: 4:   Maps Plans Drawings
  214.    wt: 4:   Secondary Three Mathematics
  215.    wt: 4:   Secondary Two Mathematics
  216.    wt: 4:   Secondary One Mathematics
  217.    wt: 4:   talk the algebra talk
  218.    wt: 4:   teaching tutoring algebraic reason
  219.    wt: 4:   three goals for Mathematics Education
  220.    wt: 4:   standards for course material
  221.    wt: 4:   education an empirical art
  222.    wt: 4:   chapitre 04 10 Etapes pour une meilleur raison
  223.    wt: 4:   F Wire Resistance Calculation04
  224.    wt: 4:   D Wire Resistance Calculation02
  225.    wt: 4:   C Wire Resistance Calculation01
  226.    wt: 4:   B Wire Resistance Qualitative02
  227.    wt: 4:   3 Like resistors in parallel
  228.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take IV
  229.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take III
  230.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take II
  231.    wt: 4:   18 Primary School Mathematics
  232.    wt: 4:   17 Math Booklets for children and young teenagers
  233.    wt: 4:   12 Goals and Objectives For Mathematics
  234.    wt: 4:   22 Square Root function graphically
  235.    wt: 4:   15 Sign analysis of functions
  236.    wt: 4:   11 Function Domain Range Source and Targets
  237.    wt: 4:   6 Set Existence Formation and Notation
  238.    wt: 4:   3 Formula or function graphing exercise
  239.    wt: 4:   7 quadratic formulla derivation
  240.    wt: 4:   2 quadratics graphing in general
  241.    wt: 4:   1 quadratics graphing exercises
  242.    wt: 4:   11 Growth and Decay in Biology
  243.    wt: 4:   10 Exponential Growth and Decay Models
  244.    wt: 4:   8 Formulas for Fractional Exponents with Logarithms
  245.    wt: 4:   1 Calculator Starter Exercises
  246.    wt: 4:   1 Polynomials Distributive Law
  247.    wt: 4:   13 cosecant function Definition Graph and Inverse
  248.    wt: 4:   11 arctan left inverse of tangent Graph
  249.    wt: 4:   5 Swapping Coordinates is a reflection
  250.    wt: 4:   8 Radian Measures of Common Angles
  251.    wt: 4:   1 Degrees and Radians Introduction
  252.    wt: 4:   10 Parallelogram Addition Method
  253.    wt: 4:   5 Head To Tail Arrow Addition
  254.    wt: 4:   3 Navigation with Arrows or Vectors
  255.    wt: 4:   Parallel Lines and Interior Angles
  256.    wt: 4:   SAS Method For Isometric Or Proportional Triangle Construction
  257.    wt: 4:   Analytic View of Triangle Construction or Line Instersection More
  258.    wt: 4:   Straight Lines ASA Intersection Study More
  259.    wt: 4:   Straight Lines ASA Intersection Study
  260.    wt: 4:   14 Straight Lines Equations General Case
  261.    wt: 4:   7 Tangent Function is odd on this domain
  262.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  263.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  264.    wt: 4:   32 seven rows of pascals triangle
  265.    wt: 4:   22 sine of 22.5 degrees via half angle formulas
  266.    wt: 4:   21 sine and cosine Half Angle Formulas
  267.    wt: 4:   17D cis formulas for sine cosines and tangent
  268.    wt: 4:   17B sine cosine Angle Sum Formulas via cis
  269.    wt: 4:   15 sine cosine Complementary Angle Relations
  270.    wt: 4:   14 cosine even and sine and tangent are odd
  271.    wt: 4:   10 Graphs of sines and cosines many periods
  272.    wt: 4:   12 cis formulas for sine cosines and tangent
  273.    wt: 4:   10 sine cosine Angle Sum Formulas via cis
  274.    wt: 4:   7 Second Way to Calculate Products
  275.    wt: 4:   1 Rectangular Polar Coordinates Review
  276.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  277.    wt: 4:   Why Trigonometry the whyslopes view
  278.    wt: 4:   11 Triangle Similarity Missing Side Problem
  279.    wt: 4:   1 Early Concept of Like or Similar Shapes
  280.    wt: 4:   7 Exercises to test skill and concept mastery
  281.    wt: 4:   What is and is not here
  282.    wt: 4:   9 Pythagorean Theorem Chinese Square Proof
  283.    wt: 4:   6 Polar Multiplication and Rotation
  284.    wt: 4:   3 Rectangular Coordinates Review
  285.    wt: 4:   1 Cartesian Coordinates sans signs
  286.    wt: 4:   PS G Rotation Distributes over Addition
  287.    wt: 4:   PS E Multiplication with Polar Coordinates
  288.    wt: 4:   PS C Similarity Use Recognize it in Trigonometry
  289.    wt: 4:   PS B Parallelogram Construction Methods
  290.    wt: 4:   18 Triangle Similarity Take 1
  291.    wt: 4:   16 Angles Subtended By Chords and Diameters
  292.    wt: 4:   13 Angle Side Angle Failure
  293.    wt: 4:   6 Ruler and compass Angle Bisection
  294.    wt: 4:   3 Isometry of Triangles Congruence
  295.    wt: 4:   8 More Use of Maps Not Drawn to Scale
  296.    wt: 4:   2 Measuring Area Directly
  297.    wt: 4:   26 More Less Greater Than Comparison
  298.    wt: 4:   23 Distributive Law Two Derivations
  299.    wt: 4:   18 Geometrically Why Vector Addition Commutes
  300.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  301.    wt: 4:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  302.    wt: 4:   8 Division and Mulplication of Compound Fractions
  303.    wt: 4:   3 Location of Point in Decimal Multiplication
  304.    wt: 4:   5 Areas of Rectangles Revisited
  305.    wt: 4:   4 Fraction Operations Axiomatic Development
  306.    wt: 4:   2 Fraction Operations Physical Development
  307.    wt: 4:   5 Proportionality in Equivalent Fractions
  308.    wt: 4:   3 Proportionality Examples
  309.    wt: 4:   1 What is Proportionality
  310.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  311.    wt: 4:   6 Compound Interest Forward and Backwards
  312.    wt: 4:   3 Linear Equation Literal Solution More
  313.    wt: 4:   6 Equations and Systems Equivalent or Implied
  314.    wt: 4:   5 Equality in Algebra
  315.    wt: 4:   4 Subtraction and Division Axioms
  316.    wt: 4:   2 Addition and Multiplication Axioms
  317.    wt: 4:   2 More and Less Than for Counts and Measures
  318.    wt: 4:   3 Geometric Formulas and Function Notation
  319.    wt: 4:   13 Naming Identifying Formulas with Words
  320.    wt: 4:   4 Circle Area Formula Example
  321.    wt: 4:   6 Three Notions of What is a Variable
  322.    wt: 4:   5 Talking about Numbers and Quantities
  323.    wt: 4:   2 What is a Variable
  324.    wt: 4:   3 Comparison of Negative Numbers
  325.    wt: 4:   1 More and Less Than for Counts and Measures
  326.    wt: 4:   1 Squares and Square Roots Introduction
  327.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  328.    wt: 4:   2 Least Common Multiple LCM intro via list method
  329.    wt: 4:   11 What are real lengths and numbers
  330.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  331.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  332.    wt: 4:   14 Adding and Subtracting with Like Denominators
  333.    wt: 4:   11 Simplification an Algebraic View
  334.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  335.    wt: 4:   3 Unit fraction of a fraction
  336.    wt: 4:   1 What is a fraction
  337.    wt: 4:   11 Adding Integers Formulas and Examples
  338.    wt: 4:   6 Multiplication by Natural Numbers
  339.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  340.    wt: 4:   13 Remainder Arithmetic Modulo 5 Example
  341.    wt: 4:   10 video Prime Factorization upto 23 squared
  342.    wt: 4:   7 Long Divison Mistake Catching
  343.    wt: 4:   6 Why Decimal Long Division Methods Works Take I
  344.    wt: 4:   3 Division Single Digit Divisor Example
  345.    wt: 4:   7 Subtraction for Decimal Fractions with Exercises
  346.    wt: 4:   7 Adding decimal fractions using decimal point
  347.    wt: 4:   2 Groups of Three Place Value for Multidigit Decimals
  348.    wt: 4:   Exact Arithmetic Wholes and Fractions
  349.    wt: 4:   The 12 Times Table Visually
  350.    wt: 4:   015 School and work day counting tables
  351.    wt: 4:   014 Counting Days with Calendars
  352.    wt: 4:   012 Division of Time Intervals by Time Intervals
  353.    wt: 4:   8 Addition of Time Intervals via subtotaling
  354.    wt: 4:   Example 1 volume of a pyramid
  355.    wt: 4:   4 Definite Integrals Evaluation Exercises
  356.    wt: 4:   36 Cube root derivative animated
  357.    wt: 4:   28 Chain Rule Preparation for a Proof
  358.    wt: 4:   25 Chain Rule Animated Examples Continued
  359.    wt: 4:   24 Chain Rule Animated Examples
  360.    wt: 4:   7 Animated Differentiation Examples
  361.    wt: 4:   12 Limits with Parameters and Derivatives Take I
  362.    wt: 4:   PostScript For and Against Decimal Perspectives
  363.    wt: 4:   Chapter 24 Logarithms Powers and Exponentials
  364.    wt: 4:   Chapter 16. Velocity Approximation
  365.    wt: 4:   Chapter 13. Acceleration
  366.    wt: 4:   Chapter 7 Slopes and Velocity
  367.    wt: 4:   Chapter 6. Slopes and Vertical Shifts
  368.    wt: 4:   Chapter 2. Slopes and Ski Trails
  369.    wt: 4:   Fall 1983 Calculus Appetizer
  370.    wt: 4:   Appendix D. What to do in School and Why
  371.    wt: 4:   Appendix A. Reading Guide For Next Appendices
  372.    wt: 4:   Chapter 31 Direct and Indirect Reason
  373.    wt: 4:   Chapter 27 Shorthand Symbols as Pronouns
  374.    wt: 4:   Chapter 20. Degrees and Radians
  375.    wt: 4:   Postscript Unifying Theme A Fourth Skill For Algebra
  376.    wt: 4:   Postscript What is a Variable
  377.    wt: 4:   Chapter 9 Talking about Numbers or Quantities
  378.    wt: 4:   Chapter 7 Prep for Calculus Arithmetic Exercises
  379.    wt: 4:   Chapter 6 Change of Language
  380.    wt: 4:   Chapter 3 Chains of Reason
  381.    wt: 4:   Annotated Links to Material Elsehwere
  382.    wt: 4:   Chapter 4 Complex Numbers and Why Slopes
  383.    wt: 4:   Chapter 3 Algebra Difficulties
  384.    wt: 4:   Chapter 20 Shorthand Symbols as Pronouns
  385.    wt: 4:   Chapter 19 What is in chapters 20 to 24
  386.    wt: 4:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  387.    wt: 4:   Chapter 11 Accidental Patterns
  388.    wt: 4:   Chapter 9 What is in Chapters 10 to 18
  389.    wt: 4:   Chapter 8 Change of Language
  390.    wt: 4:   R Why Learn Mathematics Skills
  391.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  392.    wt: 4:   O On Learning Mathematics and Science
  393.    wt: 4:   6 Measuring via counting or arithmetic the role of fractions
  394.    wt: 4:   Multiple Ways to Improve Mathematics Skill Development
  395.    wt: 4:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  396.    wt: 4:   Talking pdf files for online lessons a webvideo alternative
  397.    wt: 3:   H LAMP Introduction Instructional Concepts
  398.    wt: 3:   F LAMP Introduction Prerequisites
  399.    wt: 3:   9 combinatorics probability sets
  400.    wt: 3:   6 polynomials etc
  401.    wt: 3:   Teach the teachers plus goals
  402.    wt: 3:   Math Ed if it must be short make it lean effective
  403.    wt: 3:   Mathematics Education Professors
  404.    wt: 3:   grouping students according to ability
  405.    wt: 3:   what should be learnt and When
  406.    wt: 3:   five decades make a difference
  407.    wt: 3:   geometric implications for algebra
  408.    wt: 3:   05 13 OldSiteEntrancePage
  409.    wt: 3:   02 20 mathematics education references
  410.    wt: 3:   three aims for mathematics students
  411.    wt: 3:   Operational Viewpoint to Value
  412.    wt: 3:   mathematics instruction in general
  413.    wt: 3:   three kinds of reason in mathematics
  414.    wt: 3:   Four ways to improve education reform
  415.    wt: 3:   need for a mixed mathematics curriculum
  416.    wt: 3:   Leaner mathematics curriculum
  417.    wt: 3:   Prequel In For A Penny In For A Pound
  418.    wt: 3:   chapitre 07 01 principle D induction mathematique
  419.    wt: 3:   chapitre 04 04 Parlons de la logique
  420.    wt: 3:   chapitre 02 00 La Communication des idees
  421.    wt: 3:   Trois Notions qui menent a algebre
  422.    wt: 3:   3 Energy Power Heat08
  423.    wt: 3:   2 Unlike resistors in parallel01
  424.    wt: 3:   24 Standards For Skill Develoment Take II
  425.    wt: 3:   23 Modularized Skill Development Modularized Rigor
  426.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  427.    wt: 3:   14 Multiplication and Times Tables
  428.    wt: 3:   11 Help and Defend Your Child or Teens Education
  429.    wt: 3:   9 Streaming by Student Cooperation
  430.    wt: 3:   4 Learning Takes Time and Effort
  431.    wt: 3:   Ages 12 to 14 Skills with take home value
  432.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  433.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  434.    wt: 3:   20 Interchanging coordinates a reflection
  435.    wt: 3:   16 Increasing or decreasing on intervals
  436.    wt: 3:   13 From one to one to many to one
  437.    wt: 3:   5 Function notation for geometric transformations
  438.    wt: 3:   2 Algebraic use of function notation
  439.    wt: 3:   10 quadratic exercises
  440.    wt: 3:   5 quadratics completing the square
  441.    wt: 3:   4 quadratics difference of two squares
  442.    wt: 3:   Quadratics in 10 steps
  443.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  444.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  445.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  446.    wt: 3:   2 Square Root Simplification a prequel
  447.    wt: 3:   Rewriting algebraic substitution as function substitutions
  448.    wt: 3:   16 cotangent function Definition Graph and Inverse
  449.    wt: 3:   15 cosecant function Definition Graph and Inverse
  450.    wt: 3:   14 secant function Definition Graph and Inverse
  451.    wt: 3:   12 motivation for term arctan
  452.    wt: 3:   10 arctan left inverse of tangent Definition
  453.    wt: 3:   9 motivation for name arcsin
  454.    wt: 3:   6 Radian Measure to Degrees
  455.    wt: 3:   5 Degrees to Radian Measure
  456.    wt: 3:   13 Velocity Vectors in Physics
  457.    wt: 3:   12 From Applied To Pure Mathematics
  458.    wt: 3:   9 Head to Tail Coordinate View
  459.    wt: 3:   4 graphing y=Asin(x c)
  460.    wt: 3:   3 graphing y=f(x c) plus K
  461.    wt: 3:   1 graphing y=f(x a)
  462.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  463.    wt: 3:   A Straight Line Slope Scaling Properties
  464.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  465.    wt: 3:   11 Straight Lines Graphing y=mx
  466.    wt: 3:   8 Straight Lines Equation for vertical
  467.    wt: 3:   17 tangent function angle sum formulas
  468.    wt: 3:   30 unit circle calculation of six trigonometric functions
  469.    wt: 3:   25 tangent double angle formula Slope connection
  470.    wt: 3:   24 tangent Angle Difference Formula
  471.    wt: 3:   20 sine and cosine Double Angle Formulas
  472.    wt: 3:   17G Pythagorean Theorem Converse
  473.    wt: 3:   17C sine and cosine double triple angle formulas
  474.    wt: 3:   17A The complex number valued trig function cis
  475.    wt: 3:   11 tangent function undefined when terminal side vertical
  476.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  477.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  478.    wt: 3:   2 Quadrant I reference Angles
  479.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  480.    wt: 3:   21 Logarithms Powers and Exponentials
  481.    wt: 3:   16 References and Originality Question
  482.    wt: 3:   15 Pythagorean Theorem Converse
  483.    wt: 3:   13 Trig Formulas for dot and cross Products
  484.    wt: 3:   11 sine and cosine double triple angle formulas
  485.    wt: 3:   Appetizer A Complex Number Applet
  486.    wt: 3:   8 Triangles Cascade Problem Solving
  487.    wt: 3:   4 Trigonometric Ratios For Two Special Triangles
  488.    wt: 3:   3 Trigonometric Ratios sine and cosine
  489.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  490.    wt: 3:   12 Triangles Similarity More Problems
  491.    wt: 3:   6 Geometric Diagrams in Class
  492.    wt: 3:   4 Similarity Definition with Coordinate
  493.    wt: 3:   2 Similarity By Design
  494.    wt: 3:   10 Midpoint of [a b] and [b a]
  495.    wt: 3:   6 Intersection of lines by solving linear systems
  496.    wt: 3:   5 Algebraic View of Slopes
  497.    wt: 3:   1 Numerical view of lines and their equations
  498.    wt: 3:   12 Spatial Coordinates
  499.    wt: 3:   11 Triangle Inequality
  500.    wt: 3:   8 Distance Between Points on a Line
  501.    wt: 3:   4 Polar Coordinates to and from
  502.    wt: 3:   2 Cartesian Coordinates with signs
  503.    wt: 3:   PS H Distributive Law For Complex Numbers
  504.    wt: 3:   21 Parallelograms
  505.    wt: 3:   19 Right Triangle Similarity
  506.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  507.    wt: 3:   14 Parallel Lines Postulate
  508.    wt: 3:   6 Figuring with Maps Not to Scale
  509.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  510.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  511.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  512.    wt: 3:   11 Signed Number Addition and Addition Properties
  513.    wt: 3:   9 Division with Digits after Decimal Point
  514.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  515.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  516.    wt: 3:   4 Location of Point in Decimal Addition
  517.    wt: 3:   1 Fractions with Finite Decimal Expansions
  518.    wt: 3:   A Decimal Addition Columm Methods
  519.    wt: 3:   7 Decimals Multiplication Methods Examples
  520.    wt: 3:   4 Commutative Law Groups Counting Form
  521.    wt: 3:   2 Linear Equation Literal Solution
  522.    wt: 3:   1 Changing Calculations
  523.    wt: 3:   5 Greater More Less Than Signs in General
  524.    wt: 3:   4 Comparison of Negative Numbers
  525.    wt: 3:   3 More and Less Than with Unlike Signs
  526.    wt: 3:   1 Real Numbers Comparison
  527.    wt: 3:   16 Real Numbers Comparison
  528.    wt: 3:   13 Real Number Subtraction
  529.    wt: 3:   12 Real Number Additive Inverses or Negatives
  530.    wt: 3:   7 Real Numbers as Line Cordinates
  531.    wt: 3:   1 Whole and Natural Numbers
  532.    wt: 3:   2 Computation Rules Evaluation
  533.    wt: 3:   1 Formulas Dependence and Function Notation
  534.    wt: 3:   4 GE III Animated Examples
  535.    wt: 3:   2 Essentially one exercises three with solution
  536.    wt: 3:   6 Algebraic Solution Example
  537.    wt: 3:   5 Algebraic Solutions Introduction
  538.    wt: 3:   4 Four Examples Fractional Coefficients
  539.    wt: 3:   Using Letters for Physical Quantities
  540.    wt: 3:   Formula Usage Show Work Format
  541.    wt: 3:   8 Compound Interest Formula Evaluation
  542.    wt: 3:   3 Adding Words To Arithmetic
  543.    wt: 3:   4 Greater More Less Than Signs in General
  544.    wt: 3:   3 Properties of Square Roots with example
  545.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  546.    wt: 3:   13 GCD from given Prime Factorization
  547.    wt: 3:   7 GCD and LCM from prime factorization
  548.    wt: 3:   3 Counting with Tables and Trees II
  549.    wt: 3:   7 negative and additive inverse
  550.    wt: 3:   2 signed and unsigned numbers as coordinates
  551.    wt: 3:   3 Multiplying Units and Numbers
  552.    wt: 3:   2 Equality and Units
  553.    wt: 3:   1 Addition and Subtraction with Units
  554.    wt: 3:   B Fractions and Two Term Ratios
  555.    wt: 3:   21 Reciprocals for Fractions and Wholes
  556.    wt: 3:   18 Efficient Ways to Multiply
  557.    wt: 3:   12 Fraction Comparison
  558.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  559.    wt: 3:   13 Subtraction with Additive Inverse
  560.    wt: 3:   3 Adding Movements with same direction
  561.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  562.    wt: 3:   23 Remainder Arithmetic Modulo 2
  563.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  564.    wt: 3:   21 Remainder Arithmetic Modulo 3
  565.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  566.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  567.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  568.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  569.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  570.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  571.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  572.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  573.    wt: 3:   18 video Count Factors given Prime Factorization
  574.    wt: 3:   17 Identify and Count Factors using Primes
  575.    wt: 3:   15 video Factors of 20 using Prime Factorization
  576.    wt: 3:   9 video Prime Factorization upto 19 squared
  577.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  578.    wt: 3:   4 video Prime Factorization Introduction
  579.    wt: 3:   3 video Primes and Composites from 9 times table
  580.    wt: 3:   1 video how Products are bigger than factor
  581.    wt: 3:   Long Division Backwards more
  582.    wt: 3:   Long Division Backward
  583.    wt: 3:   12 Why Long Division Works Take III
  584.    wt: 3:   11 Another Single Digit Divisor Example
  585.    wt: 3:   9 Why Long Division Works Take II
  586.    wt: 3:   1 Divsion Physical Examples
  587.    wt: 3:   5 Decimal Fraction Multiplication
  588.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  589.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  590.    wt: 3:   Video Power Notation in Decimal Expansion
  591.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  592.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  593.    wt: 3:   8 What skills and work habits to require
  594.    wt: 3:   6. Counting and adding units and mixed units
  595.    wt: 3:   5. How to add decimals C. Examples
  596.    wt: 3:   1. Explaining Addition Table
  597.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  598.    wt: 3:   Formula Evaluation how to show work
  599.    wt: 3:   013 Travel Time Tables
  600.    wt: 3:   011 Division of Time Intervals By Numbers
  601.    wt: 3:   010 Repeated Addition of Time Intervals
  602.    wt: 3:   2 Time and Date Matters in School
  603.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  604.    wt: 3:   Area Between Crossing Curves Lesson Take 1
  605.    wt: 3:   Area Between Curves Lesson Take 2
  606.    wt: 3:   Area Between Curves Lesson Take 1
  607.    wt: 3:   5 Area Under Curve Exercise
  608.    wt: 3:   3 Two Chain Rule Method Exercises
  609.    wt: 3:   A Related lessons in Volume 3
  610.    wt: 3:   4 Second derivative test exercise example
  611.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  612.    wt: 3:   34 Derivative of exponential function
  613.    wt: 3:   30Chain Rule A Proof
  614.    wt: 3:   29 Chain Rule Optional Reading
  615.    wt: 3:   23 Chain Rule in general
  616.    wt: 3:   22 Chain Rule for polynomials
  617.    wt: 3:   20 Chain Rule for Pulley Systems
  618.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  619.    wt: 3:   15 sine and cosine derivatives 3rd step
  620.    wt: 3:   13 sine and cosine derivatives 1st step
  621.    wt: 3:   8 Differentiation of polynomials
  622.    wt: 3:   3 Motivation for Limit Definition Take 2
  623.    wt: 3:   11 Limits at infinity Three Examples
  624.    wt: 3:   8 Four Animated Examples
  625.    wt: 3:   6 Continuity at a point
  626.    wt: 3:   5 Jumps and absence of unlimited error control
  627.    wt: 3:   3 Decimal insights for limits continuity convergence
  628.    wt: 3:   2 Algebraic codification
  629.    wt: 3:   Postscript One Sided and Intermediate Value Theorems
  630.    wt: 3:   G.2 Lipshitz Conditions Integration Calculus Reform
  631.    wt: 3:   G.1 First Fundamental Theorem of Calculus
  632.    wt: 3:   G.6 Bounded Derivatives implies Lipshitz Continuity
  633.    wt: 3:   G.4 Lipschitz Continuity implies EquiContinuity
  634.    wt: 3:   G.2 Differentiable Functions Mean Value Theorem
  635.    wt: 3:   F.3 Intermediate Value Theorem
  636.    wt: 3:   B3 Bolzano Weierstrass Theorem
  637.    wt: 3:   Chapter 23 Links To Trigonometry
  638.    wt: 3:   Chapter 21 Arrow Addition
  639.    wt: 3:   Chapter 15. Slope Approximation
  640.    wt: 3:   Chapter 12. Units and Slopes
  641.    wt: 3:   Chapter 10 Slopes and Units
  642.    wt: 3:   Chapter 9 About First Courses in Calculus
  643.    wt: 3:   Chapter 30 Truth Tables
  644.    wt: 3:   Chapter 24. Personal Investment and Pension EGS
  645.    wt: 3:   Chapter 23. Notation For Sums
  646.    wt: 3:   Chapter 18. Rules for Algebra
  647.    wt: 3:   Chapter 15. Solving Linear Equations
  648.    wt: 3:   Chapter 13. Second Reading Guide
  649.    wt: 3:   Chapter 12. Shorthand Usage Guide
  650.    wt: 3:   Chapter 11. Why Shorthand
  651.    wt: 3:   Chapter 8 Three Skills For Algebra
  652.    wt: 3:   Chapter 4 Longer Chains of Reason
  653.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  654.    wt: 3:   Postscript B Mathematics Education References
  655.    wt: 3:   Chapter 11 Elementary Instruction
  656.    wt: 3:   Chapter 7 Two Treatments of Geometry
  657.    wt: 3:   Postscript B More on Story Telling and Reason
  658.    wt: 3:   Chapter 24 Direct and Indirect Reason
  659.    wt: 3:   Chapter 23 Truth Tables
  660.    wt: 3:   Chapter 7 Longer Chains of Reason
  661.    wt: 3:   Chapter 6 Chains of Reason
  662.    wt: 3:   S Adding words to algebra
  663.    wt: 3:   N Mathematics Prepare for College Studies
  664.    wt: 3:   N Improving Marks on Tests and Finals
  665.    wt: 3:   I. Logic and language skills
  666.    wt: 3:   D. Check work a must with a caution
  667.    wt: 3:   Appendix A Calculus with Proofs for Keen or Gifted
  668.    wt: 3:   Chapter 8 Skipped Topics and Why
  669.    wt: 3:   7 Games and Activities for Instruction
  670.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  671.    wt: 3:   Helping the Blind in Logic and Mathematics
  672.    wt: 3:   Mathematics Education References
  673.    wt: 3:   Mathematics Education References
  674.    wt: 3:   Road Safety Questions
  675.    wt: 2:   K LAMP Musings Science Education
  676.    wt: 2:   J LAMP Introduction Extrinsic Origins
  677.    wt: 2:   G LAMP Introduction Problem Solving Skills
  678.    wt: 2:   A Introduction Objectives
  679.    wt: 2:   Skills Chapter 5 Calculus
  680.    wt: 2:   Ramblings Extrinsic numbers theory
  681.    wt: 2:   Skills Chapter 2 Geometry
  682.    wt: 2:   Skills Chapter 1 Arithmetic
  683.    wt: 2:   Skills Chapter 0 Introduction
  684.    wt: 2:   11 pure mathematics
  685.    wt: 2:   10 statistics
  686.    wt: 2:   4 algebra
  687.    wt: 2:   What is POMME
  688.    wt: 2:   which way to go
  689.    wt: 2:   permissions for teachers
  690.    wt: 2:   About site lesson plans
  691.    wt: 2:   key notes and themes
  692.    wt: 2:   teacher certification
  693.    wt: 2:   learning takes time
  694.    wt: 2:   mathematics in context
  695.    wt: 2:   Education Reform Inconsistencies
  696.    wt: 2:   how letters appear
  697.    wt: 2:   teaching tips
  698.    wt: 2:   mathematics curriculum shifts
  699.    wt: 2:   Lessening Algebra Difficulties
  700.    wt: 2:   the trouble with algebra
  701.    wt: 2:   04 29 New Mathematics Curriculum
  702.    wt: 2:   04 25 when to stop or suspend mathemat
  703.    wt: 2:   formal or informal peer review
  704.    wt: 2:   Different Kinds of Reasoning in maths
  705.    wt: 2:   Motivation and Context Problem
  706.    wt: 2:   fairness and inductive principles for instruction
  707.    wt: 2:   words for mathematics instructor
  708.    wt: 2:   chapitre 12 00 les iles et division
  709.    wt: 2:   chapitre 04 09 Regles accidentelles
  710.    wt: 2:   chapitre 04 08 Limitations et benefices
  711.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  712.    wt: 2:   chapitre 04 06 engagements
  713.    wt: 2:   chapitre 04 05 Implication versus suggestion
  714.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  715.    wt: 2:   chapitre 04 00 Les regles d implication
  716.    wt: 2:   chapitre 01 00 Introduction
  717.    wt: 2:   problemes algebre et arithmetique
  718.    wt: 2:   4 Energy Power Heat09
  719.    wt: 2:   2 Energy Power Heat07
  720.    wt: 2:   1 Energy Power Heat06
  721.    wt: 2:   C Energy Power03
  722.    wt: 2:   A Energy Power01
  723.    wt: 2:   24 Standards For Skill Develoment
  724.    wt: 2:   22 Student Centered Highschool Mathematics
  725.    wt: 2:   10 Ends values for work study instruction
  726.    wt: 2:   8 The Effect of Negative Remarks
  727.    wt: 2:   3 Preparing for Science Studies
  728.    wt: 2:   2 Reading and Writing Skills
  729.    wt: 2:   Ages 12 to 14 Geometry
  730.    wt: 2:   Ages 12 to 14 Arithmetic
  731.    wt: 2:   Ages 10 to 12 Geometry
  732.    wt: 2:   Ages 10 to 12 Arithmetic
  733.    wt: 2:   Ages 3 plus to 4 plus
  734.    wt: 2:   19 Horizontal line rule and method
  735.    wt: 2:   18 Vertical Line Rule and Method
  736.    wt: 2:   12 Function Domain Recognition Exercises
  737.    wt: 2:   10 Interval Notation
  738.    wt: 2:   9 Set theory term relation possible origins
  739.    wt: 2:   8 Set view of relations and functions
  740.    wt: 2:   1 Geometric Introduction of Function Notation
  741.    wt: 2:   Introduction Reading Guide
  742.    wt: 2:   8 arcsin left inverse of sine Graph
  743.    wt: 2:   6 Graph of arccos function
  744.    wt: 2:   4 possible motivation for term arccos
  745.    wt: 2:   3 Left Inverse of cosine arccos definition
  746.    wt: 2:   8 Parallel Vectors
  747.    wt: 2:   4 Resultant of a Sum of Movements
  748.    wt: 2:   Vector and Complex Number Applet
  749.    wt: 2:   Triangle Angles Sum To 180 Degrees
  750.    wt: 2:   Straight Lines Instersection Solving Equations
  751.    wt: 2:   C Straight Lines Slope from Coordinates
  752.    wt: 2:   B Straight Line Slope Scaling Properties More
  753.    wt: 2:   12 Straight Lines Graphing mx plus b
  754.    wt: 2:   10 Straight Lines through Origin Equations More
  755.    wt: 2:   9 Straight Lines through Origin Equations
  756.    wt: 2:   5 Tangent Function Graph
  757.    wt: 2:   27 Logarithmic use of products of sines and cosines
  758.    wt: 2:   26 Formulas for products of sines and cosines
  759.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  760.    wt: 2:   17E Trig Formulas for dot and cross Products
  761.    wt: 2:   12 Graph of tangent function for one period
  762.    wt: 2:   9 Graphs of sine and cosine over one period
  763.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  764.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  765.    wt: 2:   9 The complex number valued trig function cis
  766.    wt: 2:   3 Addition Properties
  767.    wt: 2:   2 Complex Numbers made easier we hope
  768.    wt: 2:   1 Angle Measurement with Degrees
  769.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  770.    wt: 2:   3 Slope product for perpendicular lines
  771.    wt: 2:   2 point slope equation for a line
  772.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  773.    wt: 2:   PS A Kite Construction Methods
  774.    wt: 2:   17 Right Bisectors of Triangle Sides
  775.    wt: 2:   12 Side Angle Side Failure
  776.    wt: 2:   11 Triangle Construction Fails
  777.    wt: 2:   10 Dropping a perpendicular to line
  778.    wt: 2:   9 Construction of a right bisector
  779.    wt: 2:   8 Isoceles Triangles
  780.    wt: 2:   7 Angle Side Angle
  781.    wt: 2:   1 Initial Concepts and Terms
  782.    wt: 2:   Short Course on Euclidean Geometry
  783.    wt: 2:   A Measurement with Ruler Proper Use
  784.    wt: 2:   musings do not puiblish real numbers
  785.    wt: 2:   A Signed Number Arithmetic Review
  786.    wt: 2:   21 Addition of Multiples of a Single Vector
  787.    wt: 2:   12 Real Numbers Line Signed Coordinates
  788.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  789.    wt: 2:   2 Counting Digits in Decimal Multiplication
  790.    wt: 2:   C Three Decimal Subtraction Methods
  791.    wt: 2:   8 Column Multiplication Methods in General
  792.    wt: 2:   6 Column Methods for Decimal Multiplication
  793.    wt: 2:   5 Distributive Law for Whole Numbers
  794.    wt: 2:   3 Multiplicative Counting Skills Principles
  795.    wt: 2:   2 Combing Counts Addition Skills and Principles
  796.    wt: 2:   2 Algebraic View
  797.    wt: 2:   3 Product Axioms Two Forms
  798.    wt: 2:   1 Equivalent Computation Rules
  799.    wt: 2:   15 Real Number Division
  800.    wt: 2:   14 Real Number Multiplication
  801.    wt: 2:   11 Real Number Addition
  802.    wt: 2:   10 Real Number Lengths and Signs
  803.    wt: 2:   9 Coordinates for Regions in Space
  804.    wt: 2:   5 Rational Numbers More
  805.    wt: 2:   4 Rational Numbers
  806.    wt: 2:   3 Fractions
  807.    wt: 2:   2 GE II Comparison
  808.    wt: 2:   1 Essentially One Unknown
  809.    wt: 2:   3 Four Examples
  810.    wt: 2:   1 Proper Equal Sign Usage
  811.    wt: 2:   3 Two Examples
  812.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  813.    wt: 2:   10 Volume of Pyramid
  814.    wt: 2:   7 Compound Interest Formula Introduction
  815.    wt: 2:   5 Box Volume Formula Example
  816.    wt: 2:   1 Written work formats for developing and showing skill
  817.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  818.    wt: 2:   7 Cautious or Safe Set Construction
  819.    wt: 2:   3 Counting with Sets etc
  820.    wt: 2:   2 Venn Diagrams
  821.    wt: 2:   1 Three Skills For Algebra
  822.    wt: 2:   2 More and Less Than with Unlike Signs
  823.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  824.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  825.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  826.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  827.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  828.    wt: 2:   8 GCD from Euclidean Algorithm
  829.    wt: 2:   5 Common Divisors 60 45 via Prime
  830.    wt: 2:   4 LCM of 8 and 10 via Prime
  831.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  832.    wt: 2:   1 Least Common Multiples LCM Introduction
  833.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  834.    wt: 2:   2 Counting with Tables and Trees I
  835.    wt: 2:   4 signed coordinates for regions in space
  836.    wt: 2:   6 Simplification of Fractions with Units
  837.    wt: 2:   20 Dividing Fractions the Why
  838.    wt: 2:   9 Improper Fractions and Mixed Numbers
  839.    wt: 2:   5 Equivalent Fractions
  840.    wt: 2:   4 Fraction Multiplication
  841.    wt: 2:   2 Unit Fraction Multiplication
  842.    wt: 2:   D Remainders Modulo 11 Pair Rule
  843.    wt: 2:   12 Adding Integers More Examples
  844.    wt: 2:   10 Integer Multiplication Formulas
  845.    wt: 2:   8 Multiplication by Signed Numbers Integers
  846.    wt: 2:   7 Multiplication by Signs
  847.    wt: 2:   5 Zero Movement and Additive Inverses
  848.    wt: 2:   1 Integers as Coordinates
  849.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  850.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  851.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  852.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  853.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  854.    wt: 2:   5 Remainder Arithmetic Modulo 5
  855.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  856.    wt: 2:   1 Remainder Arithmetic Modulo 10
  857.    wt: 2:   20 Uniqueness of Prime Factorization
  858.    wt: 2:   19 video Prime Factorization Unique
  859.    wt: 2:   14 video Factors of 24 Take II
  860.    wt: 2:   13 video Factors of 24 using prime
  861.    wt: 2:   8 video Prime Factorization upto 19
  862.    wt: 2:   2 Prime and Composites less than 16
  863.    wt: 2:   Division with Counts and Length
  864.    wt: 2:   8 Correcting the Mistake
  865.    wt: 2:   2 Division with Single Digit Divisors
  866.    wt: 2:   D Decimal Multiplication Methods Derived
  867.    wt: 2:   C Counting Areas with Powers of Ten
  868.    wt: 2:   6 Multiplication Commutes Order Not Important
  869.    wt: 2:   1 Why 3 times 5 gives 15
  870.    wt: 2:   Subtraction with J Conversions Example
  871.    wt: 2:   Subtraction Another Video Lesson
  872.    wt: 2:   8 Subtraction with Units of Measure
  873.    wt: 2:   5 A Tip for Efficent Subtraction
  874.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  875.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  876.    wt: 2:   4. How to add with decimals B with conversions
  877.    wt: 2:   2 Decimal Counting Practices
  878.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  879.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  880.    wt: 2:   Expression Evaluation how to show work
  881.    wt: 2:   7 Addition of Time Intervals
  882.    wt: 2:   6 How long is a million seconds
  883.    wt: 2:   4 Mixing and Changing Units of Time
  884.    wt: 2:   3 Units and Lengths of Time
  885.    wt: 2:   1 Intro of Kids To Time Date Skills
  886.    wt: 2:   Example 2 volume of a cone
  887.    wt: 2:   Example 4 with x function of y
  888.    wt: 2:   Example 3
  889.    wt: 2:   Summary
  890.    wt: 2:   2 Indefinite Integrals Exercises
  891.    wt: 2:   1 Chain Rule in Reverse Integration Method
  892.    wt: 2:   3 Second derivative test
  893.    wt: 2:   31 Derivatives of inverse functions
  894.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  895.    wt: 2:   26 Chain Rule Recognising outer inner functions
  896.    wt: 2:   19 Chain Rule for linear functions
  897.    wt: 2:   18 Chain Rule Introduction
  898.    wt: 2:   17 Derivatives of quotients of sine and cosine
  899.    wt: 2:   14 sine and cosine derivatives 2nd step
  900.    wt: 2:   2 Motivation for Limit Definition Take 1
  901.    wt: 2:   9 Limits Continuity and Composition
  902.    wt: 2:   1 Numerical introduction
  903.    wt: 2:   G.3 Constant Difference Theorem Proof
  904.    wt: 2:   F.5a Equicontinuity Theorems
  905.    wt: 2:   F.1 What Functions are Continuous
  906.    wt: 2:   E2 Algebraic Properties of Limits
  907.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  908.    wt: 2:   C Triangle Inequalities
  909.    wt: 2:   A1. Introduction
  910.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  911.    wt: 2:   Chapter 11. Graphing Slope versus Position
  912.    wt: 2:   Chapter 8. Slope Interpretation
  913.    wt: 2:   Chapter 1.Introduction
  914.    wt: 2:   Appendix C. How to Read
  915.    wt: 2:   Appendix B. How To Learn
  916.    wt: 2:   Chapter 28 Occurrence Tables
  917.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  918.    wt: 2:   Chapter 21. Third Reading Guide
  919.    wt: 2:   Chapter 19. Functions and Sets
  920.    wt: 2:   Chapter 16. Painless Theorem Proving
  921.    wt: 2:   Solutions For Arithmetic Exercises
  922.    wt: 2:   Postscript A Three Remarks
  923.    wt: 2:   Chapter 12 Four Phases
  924.    wt: 2:   Chapter 10 Transition
  925.    wt: 2:   Chapter 1 Introduction
  926.    wt: 2:   Postscript A Story Telling
  927.    wt: 2:   Chapter 21 Occurrence Tables
  928.    wt: 2:   Chapter 18 Sense and Knowledge
  929.    wt: 2:   Chapter 10 Responsibility
  930.    wt: 2:   Chapter 1 Introduction
  931.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  932.    wt: 2:   L Skills with take home value
  933.    wt: 2:   H Jigsaw puzzles and problem solving
  934.    wt: 2:   G. Written work formats for developing and showing skill
  935.    wt: 2:   F. The student teacher tutor feedback loop
  936.    wt: 2:   A. Skill has to be seen to believed
  937.    wt: 2:   Chapter 2 Why Sets
  938.    wt: 2:   Chapter 1 Arithmetic
  939.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  940.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  941.    wt: 2:   Which Way To Go
  942.    wt: 2:   The Math Forum and Site Content
  943.    wt: 1:   Skills Chapter 4 Logic
  944.    wt: 1:   2 arithmetic with signed numbers
  945.    wt: 1:   1 arithmetic with unsigned numbers
  946.    wt: 1:   why bother
  947.    wt: 1:   three goals to set for students
  948.    wt: 1:   activities for students
  949.    wt: 1:   links Education Resources online
  950.    wt: 1:   site eurekas
  951.    wt: 1:   modern education
  952.    wt: 1:   What to Tell Students
  953.    wt: 1:   02 21 words for teachers
  954.    wt: 1:   Theory of Knowledge
  955.    wt: 1:   cultivating intelligence
  956.    wt: 1:   How to be a better instructor
  957.    wt: 1:   chapitre 05 00 Deception
  958.    wt: 1:   chapitre 04 02 Deuxieme enigme
  959.    wt: 1:   chapitre 04 01 Premiere enigme
  960.    wt: 1:   deux definitions pour variable
  961.    wt: 1:   E Energy Power05
  962.    wt: 1:   D Energy Power04
  963.    wt: 1:   B Energy Power02
  964.    wt: 1:   1 Like resistors in series
  965.    wt: 1:   F Unlike Resistors in Series
  966.    wt: 1:   E Kirchoffs Second Law
  967.    wt: 1:   D Kirchoff First Law
  968.    wt: 1:   C Electromotive force conventional current02
  969.    wt: 1:   B Electromotive force conventional current01
  970.    wt: 1:   A Circuit Elements
  971.    wt: 1:   Home Tutoring and Home Schooling
  972.    wt: 1:   15 Counting For Parents
  973.    wt: 1:   7 Student Motivation
  974.    wt: 1:   1 Speaking Skills
  975.    wt: 1:   Ages 9 to 10
  976.    wt: 1:   Ages 8 to 9
  977.    wt: 1:   Ages 7 to 8
  978.    wt: 1:   Ages 6 to 7
  979.    wt: 1:   Ages 4 plus to 5 plus
  980.    wt: 1:   26 Function definitions done and coming
  981.    wt: 1:   23 Inverse Functions
  982.    wt: 1:   7 Functions with finite domains
  983.    wt: 1:   2 Column Multiplication Method
  984.    wt: 1:   7 arcsin left inverse of sine Definition
  985.    wt: 1:   15 Dot and Cross Product
  986.    wt: 1:   6 Vectors with Coordinates
  987.    wt: 1:   2 Signed Coordinates
  988.    wt: 1:   1 Unsigned Coordinates
  989.    wt: 1:   Straight Lines Intersection of
  990.    wt: 1:   4 Tangent Function Properties
  991.    wt: 1:   1 Straight Lines Slope Concept
  992.    wt: 1:   28 Expressing products of sines cosines as sums
  993.    wt: 1:   17F Law of cosines
  994.    wt: 1:   8 period of tangent function
  995.    wt: 1:   7 period of sine and cosine
  996.    wt: 1:   1 Unit Points Reflections Rotations
  997.    wt: 1:   Unit Circle Development of Trigonometry
  998.    wt: 1:   19 N th Roots of Unity
  999.    wt: 1:   18 Sixth Roots of Unity
  1000.    wt: 1:   17 Cube Roots of unity
  1001.    wt: 1:   14 Law of cosines
  1002.    wt: 1:   8 Unit Circle Development of Trigonometry
  1003.    wt: 1:   4 Multiplication Properties
  1004.    wt: 1:   7 Trignometric Ratios Unit Circle
  1005.    wt: 1:   Four Simple Exercises
  1006.    wt: 1:   8 Mid Point Formula
  1007.    wt: 1:   4 Equations for lines three forms
  1008.    wt: 1:   7 Complex Numbers Appetizer
  1009.    wt: 1:   5 Side Angle Side
  1010.    wt: 1:   2 Correspondence between Triangles
  1011.    wt: 1:   1 Length Measurement
  1012.    wt: 1:   About Folder Contents
  1013.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  1014.    wt: 1:   22 Multiplication of Signed Numbers
  1015.    wt: 1:   E Long Division Methods more
  1016.    wt: 1:   D Long Division Methods
  1017.    wt: 1:   6 Unsigned Real Numbers
  1018.    wt: 1:   5 Independent versus Dependent Variables
  1019.    wt: 1:   4 Changing Letters
  1020.    wt: 1:   More Exercises
  1021.    wt: 1:   Simple Exercises
  1022.    wt: 1:   1 GE Substitution four examples
  1023.    wt: 1:   2 Three Examples
  1024.    wt: 1:   10 One Example
  1025.    wt: 1:   9 Three Examples
  1026.    wt: 1:   8 One Example
  1027.    wt: 1:   7 Two Examples
  1028.    wt: 1:   6 Three Examples
  1029.    wt: 1:   5 Three Examples
  1030.    wt: 1:   4 Two Examples
  1031.    wt: 1:   2 Three Examples
  1032.    wt: 1:   6 Power Set Notation
  1033.    wt: 1:   5 Product Builder Notation
  1034.    wt: 1:   4 Subset Builder Notation
  1035.    wt: 1:   About Folder Contents
  1036.    wt: 1:   5 Square Roots with primes more still
  1037.    wt: 1:   4 Square Roots with primes more
  1038.    wt: 1:   2 Square Roots with Prime
  1039.    wt: 1:   12 GCD 2700 288 via Prime
  1040.    wt: 1:   4 Counting with Trees Product Rule Take I
  1041.    wt: 1:   1 Counting and Counting Methods I
  1042.    wt: 1:   9 subtracting signed numbers
  1043.    wt: 1:   8 multiplying signed numbers
  1044.    wt: 1:   6 adding signed numbers
  1045.    wt: 1:   5 lengths and signs of numbers
  1046.    wt: 1:   7 Converting or Changing Units
  1047.    wt: 1:   4 Fractions with Units
  1048.    wt: 1:   D Three Term Ratios
  1049.    wt: 1:   22 Complex Compound Fractions
  1050.    wt: 1:   19 Dividing Fractions How TO
  1051.    wt: 1:   6 Multiplication of Mixed Numbers
  1052.    wt: 1:   B Integer Long Division Multiple Choices
  1053.    wt: 1:   9 Multiplying Integers
  1054.    wt: 1:   4 Adding Movements wiht opposite directions
  1055.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  1056.    wt: 1:   16 video Factors of 980 using prime
  1057.    wt: 1:   12 LCD GCD and LCM using Primes
  1058.    wt: 1:   11 Efficient Square Rule Use
  1059.    wt: 1:   5 Long Division Include Zeroes or not
  1060.    wt: 1:   4 Division with 2 Digit Divsors
  1061.    wt: 1:   4 Two and Three Digit Multipliers
  1062.    wt: 1:   3 More One Digit Multipliers
  1063.    wt: 1:   9 22 Minute Subtraction Review Video
  1064.    wt: 1:   The 20 Times Table
  1065.    wt: 1:   About folder contents
  1066.    wt: 1:   5 Conversion Arithmetic
  1067.    wt: 1:   Volume of Solid by Cross Sections Lesson
  1068.    wt: 1:   Example 2
  1069.    wt: 1:   Example 1
  1070.    wt: 1:   2 Second derivative test prequel
  1071.    wt: 1:   21 Chain Rule for powers
  1072.    wt: 1:   12 Quotient rule examples
  1073.    wt: 1:   10 Power rule for negative integers
  1074.    wt: 1:   9 Reciprocal rule
  1075.    wt: 1:   10 Three one sided limits with infinite values
  1076.    wt: 1:   4 Numerical properties
  1077.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  1078.    wt: 1:   F.5b Extreme Value Theorem
  1079.    wt: 1:   F.2 Closed Range Theorem
  1080.    wt: 1:   E1 Error Control Inequalities
  1081.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  1082.    wt: 1:   Chapter 22 Complex Numbers
  1083.    wt: 1:   Chapter 5. Slope Sign Tests
  1084.    wt: 1:   Postscript More on Better Performance
  1085.    wt: 1:   Postscript For Better Performance
  1086.    wt: 1:   Chapter 9 The Two Ends
  1087.    wt: 1:   Chapter 8 Modern Instruction
  1088.    wt: 1:   Chapter 5 Four References
  1089.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  1090.    wt: 1:   Chapter 15 Objective Processes
  1091.    wt: 1:   Chapter 5 Deception
  1092.    wt: 1:   Chapter 2 Skill Development
  1093.    wt: 1:   Three Remarks
  1094.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  1095.    wt: 1:   M Words to extend arithmetic
  1096.    wt: 1:   J. More on written work and showing skill
  1097.    wt: 1:   E. When and how to correct errors
  1098.    wt: 1:   C. Domino effect of being careful
  1099.    wt: 1:   How to Build Skills and Confidence
  1100.    wt: 1:   Implementation Notes

Extended Search

1143 matches:

  1.    wt: 9:   Skills Chapter 4 Logic
  2.    wt: 9:   9 combinatorics probability sets
  3.    wt: 9:   6 polynomials etc
  4.    wt: 9:   Teach the teachers plus goals
  5.    wt: 9:   permissions for teachers
  6.    wt: 9:   Mathematics Education Professors
  7.    wt: 9:   learning takes time
  8.    wt: 9:   mathematics in context
  9.    wt: 9:   geometric implications for algebra
  10.    wt: 9:   the trouble with algebra
  11.    wt: 9:   05 13 OldSiteEntrancePage
  12.    wt: 9:   02 20 mathematics education references
  13.    wt: 9:   three aims for mathematics students
  14.    wt: 9:   Operational Viewpoint to Value
  15.    wt: 9:   mathematics instruction in general
  16.    wt: 9:   Different Kinds of Reasoning in maths
  17.    wt: 9:   three kinds of reason in mathematics
  18.    wt: 9:   Four ways to improve education reform
  19.    wt: 9:   need for a mixed mathematics curriculum
  20.    wt: 9:   Leaner mathematics curriculum
  21.    wt: 9:   Prequel In For A Penny In For A Pound
  22.    wt: 9:   chapitre 07 00 Des chaines plus longues de la raison
  23.    wt: 9:   chapitre 06 00 Chaines de la raison
  24.    wt: 9:   chapitre 03 A Propos Des Prochains Chapitre
  25.    wt: 9:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  26.    wt: 9:   Ages 12 to 14 Geometry
  27.    wt: 9:   Ages 12 to 14 Arithmetic
  28.    wt: 9:   Ages 10 to 12 Geometry
  29.    wt: 9:   Ages 10 to 12 Arithmetic
  30.    wt: 9:   9 Formulas for Real Exponents with Logarithms
  31.    wt: 9:   7 Formulas for Roots with Logarithms Derivation
  32.    wt: 9:   6 Formulas for Even and Odd Roots with Logarithms
  33.    wt: 9:   2 Square Root Simplification a prequel
  34.    wt: 9:   1 Polynomials Distributive Law
  35.    wt: 9:   14 secant function Definition Graph and Inverse
  36.    wt: 9:   12 motivation for term arctan
  37.    wt: 9:   10 arctan left inverse of tangent Definition
  38.    wt: 9:   9 motivation for name arcsin
  39.    wt: 9:   8 Parallel Vectors
  40.    wt: 9:   4 Resultant of a Sum of Movements
  41.    wt: 9:   Vector and Complex Number Applet
  42.    wt: 9:   17 tangent function angle sum formulas
  43.    wt: 9:   30 unit circle calculation of six trigonometric functions
  44.    wt: 9:   25 tangent double angle formula Slope connection
  45.    wt: 9:   20 sine and cosine Double Angle Formulas
  46.    wt: 9:   17G Pythagorean Theorem Converse
  47.    wt: 9:   17C sine and cosine double triple angle formulas
  48.    wt: 9:   17A The complex number valued trig function cis
  49.    wt: 9:   11 tangent function undefined when terminal side vertical
  50.    wt: 9:   3 sines and cosines for reference angle 90 degrees
  51.    wt: 9:   2 Quadrant I reference Angles
  52.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  53.    wt: 9:   13 Trig Formulas for dot and cross Products
  54.    wt: 9:   12 cis formulas for sine cosines and tangent
  55.    wt: 9:   10 sine cosine Angle Sum Formulas via cis
  56.    wt: 9:   7 Second Way to Calculate Products
  57.    wt: 9:   1 Rectangular Polar Coordinates Review
  58.    wt: 9:   1 Angle Measurement with Degrees
  59.    wt: 9:   Four Simple Exercises
  60.    wt: 9:   8 Mid Point Formula
  61.    wt: 9:   4 Equations for lines three forms
  62.    wt: 9:   4 Side Side Side
  63.    wt: 9:   A Modular and Remainder Arithmetic
  64.    wt: 9:   26 More Less Greater Than Comparison
  65.    wt: 9:   23 Distributive Law Two Derivations
  66.    wt: 9:   13 Arrows and Vectors in a Plane
  67.    wt: 9:   2 Linear Equation Literal Solution
  68.    wt: 9:   1 Changing Calculations
  69.    wt: 9:   3 Product Axioms Two Forms
  70.    wt: 9:   1 Equivalent Computation Rules
  71.    wt: 9:   8 Coordinates for Maps and Planes
  72.    wt: 9:   2 Computation Rules Evaluation
  73.    wt: 9:   1 Formulas Dependence and Function Notation
  74.    wt: 9:   2 Three Examples
  75.    wt: 9:   Using Letters for Physical Quantities
  76.    wt: 9:   Formula Usage Show Work Format
  77.    wt: 9:   12 Cone Cylinder Sphere Lesson Idea
  78.    wt: 9:   10 Volume of Pyramid
  79.    wt: 9:   7 Compound Interest Formula Introduction
  80.    wt: 9:   5 Box Volume Formula Example
  81.    wt: 9:   1 Written work formats for developing and showing skill
  82.    wt: 9:   4 Greater More Less Than Signs in General
  83.    wt: 9:   17 GCD LCM of 85 and 60 via Prime
  84.    wt: 9:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  85.    wt: 9:   13 GCD from given Prime Factorization
  86.    wt: 9:   7 GCD and LCM from prime factorization
  87.    wt: 9:   LCM 60 45 Avoid List Method Use Prime
  88.    wt: 9:   1 Least Common Multiples LCM Introduction
  89.    wt: 9:   5 Counting with Tables Trees Product Rule Take II
  90.    wt: 9:   2 Counting with Tables and Trees I
  91.    wt: 9:   3 Multiplying Units and Numbers
  92.    wt: 9:   2 Equality and Units
  93.    wt: 9:   1 Addition and Subtraction with Units
  94.    wt: 9:   B Fractions and Two Term Ratios
  95.    wt: 9:   21 Reciprocals for Fractions and Wholes
  96.    wt: 9:   18 Efficient Ways to Multiply
  97.    wt: 9:   12 Fraction Comparison
  98.    wt: 9:   A Associative Law Theorectical Note
  99.    wt: 9:   20 Uniqueness of Prime Factorization
  100.    wt: 9:   16 video Factors of 980 using prime
  101.    wt: 9:   2 Prime and Composites less than 16
  102.    wt: 9:   8 Correcting the Mistake
  103.    wt: 9:   2 Division with Single Digit Divisors
  104.    wt: 9:   4 Two and Three Digit Multipliers
  105.    wt: 9:   10 Names for Big Numbers and Powers of Ten Expansion
  106.    wt: 9:   016 Numbering Occidental Calendar Days
  107.    wt: 9:   9 Comparison and Subtraction of Time Intervals
  108.    wt: 9:   Volume of Solid by Cross Sections Lesson
  109.    wt: 9:   Summary
  110.    wt: 9:   34 Derivative of exponential function
  111.    wt: 9:   31 Derivatives of inverse functions
  112.    wt: 9:   30Chain Rule A Proof
  113.    wt: 9:   29 Chain Rule Optional Reading
  114.    wt: 9:   23 Chain Rule in general
  115.    wt: 9:   20 Chain Rule for Pulley Systems
  116.    wt: 9:   16 Derivatives of reciprocals of sine and cosine
  117.    wt: 9:   15 sine and cosine derivatives 3rd step
  118.    wt: 9:   13 sine and cosine derivatives 1st step
  119.    wt: 9:   8 Differentiation of polynomials
  120.    wt: 9:   3 Motivation for Limit Definition Take 2
  121.    wt: 9:   12 Limits with Parameters and Derivatives Take I
  122.    wt: 9:   B3 Bolzano Weierstrass Theorem
  123.    wt: 9:   PostScript For and Against Decimal Perspectives
  124.    wt: 9:   Chapter 22 Complex Numbers
  125.    wt: 9:   Chapter 5. Slope Sign Tests
  126.    wt: 9:   Chapter 14. Forward and Backward Use of a Formula
  127.    wt: 9:   Chapter 23 Truth Tables
  128.    wt: 9:   Chapter 20 Shorthand Symbols as Pronouns
  129.    wt: 9:   Chapter 19 What is in chapters 20 to 24
  130.    wt: 9:   Chapter 11 Accidental Patterns
  131.    wt: 9:   Chapter 9 What is in Chapters 10 to 18
  132.    wt: 9:   Chapter 8 Change of Language
  133.    wt: 9:   V Reasons and Motivations for Logic and Mathematics
  134.    wt: 9:   1 From Number Recognition and Counting to Arithmetic B
  135.    wt: 8:   11 pure mathematics
  136.    wt: 8:   10 statistics
  137.    wt: 8:   4 algebra
  138.    wt: 8:   What is POMME
  139.    wt: 8:   which way to go
  140.    wt: 8:   About site lesson plans
  141.    wt: 8:   key notes and themes
  142.    wt: 8:   teacher certification
  143.    wt: 8:   modern education
  144.    wt: 8:   how letters appear
  145.    wt: 8:   teaching tips
  146.    wt: 8:   mathematics curriculum shifts
  147.    wt: 8:   Lessening Algebra Difficulties
  148.    wt: 8:   04 29 New Mathematics Curriculum
  149.    wt: 8:   04 25 when to stop or suspend mathemat
  150.    wt: 8:   formal or informal peer review
  151.    wt: 8:   Theory of Knowledge
  152.    wt: 8:   Motivation and Context Problem
  153.    wt: 8:   fairness and inductive principles for instruction
  154.    wt: 8:   words for mathematics instructor
  155.    wt: 8:   chapitre 04 10 Etapes pour une meilleur raison
  156.    wt: 8:   Ages 9 to 10
  157.    wt: 8:   Ages 8 to 9
  158.    wt: 8:   Ages 7 to 8
  159.    wt: 8:   Ages 6 to 7
  160.    wt: 8:   Ages 4 plus to 5 plus
  161.    wt: 8:   8 arcsin left inverse of sine Graph
  162.    wt: 8:   6 Graph of arccos function
  163.    wt: 8:   4 possible motivation for term arccos
  164.    wt: 8:   3 Left Inverse of cosine arccos definition
  165.    wt: 8:   15 Dot and Cross Product
  166.    wt: 8:   6 Vectors with Coordinates
  167.    wt: 8:   2 Signed Coordinates
  168.    wt: 8:   1 Unsigned Coordinates
  169.    wt: 8:   27 Logarithmic use of products of sines and cosines
  170.    wt: 8:   26 Formulas for products of sines and cosines
  171.    wt: 8:   23 sine and cosine of 180 plus 22.5 degrees
  172.    wt: 8:   17E Trig Formulas for dot and cross Products
  173.    wt: 8:   12 Graph of tangent function for one period
  174.    wt: 8:   9 Graphs of sine and cosine over one period
  175.    wt: 8:   5 sines and cosines for reference angle 60 degrees
  176.    wt: 8:   4 sines and cosines for reference angle 45 degrees
  177.    wt: 8:   21 Logarithms Powers and Exponentials
  178.    wt: 8:   16 References and Originality Question
  179.    wt: 8:   15 Pythagorean Theorem Converse
  180.    wt: 8:   11 sine and cosine double triple angle formulas
  181.    wt: 8:   3 Addition Properties
  182.    wt: 8:   Appetizer A Complex Number Applet
  183.    wt: 8:   7 Trignometric Ratios Unit Circle
  184.    wt: 8:   12 Links Lessons elsewhere
  185.    wt: 8:   18 Geometrically Why Vector Addition Commutes
  186.    wt: 8:   14 Vector Head to Tail Sums and Resultants
  187.    wt: 8:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  188.    wt: 8:   8 Division and Mulplication of Compound Fractions
  189.    wt: 8:   3 Location of Point in Decimal Multiplication
  190.    wt: 8:   A Decimal Addition Columm Methods
  191.    wt: 8:   7 Decimals Multiplication Methods Examples
  192.    wt: 8:   4 Commutative Law Groups Counting Form
  193.    wt: 8:   3 Multiplicative Counting Skills Principles
  194.    wt: 8:   9 Sets in Probability and Statistics
  195.    wt: 8:   4 A Brief Story of numbers and algebra
  196.    wt: 8:   arithmetic videos Real Player Format
  197.    wt: 8:   2 More and Less Than with Unlike Signs
  198.    wt: 8:   5 Square Roots with primes more still
  199.    wt: 8:   4 Square Roots with primes more
  200.    wt: 8:   2 Square Roots with Prime
  201.    wt: 8:   16 GCD and LCM of 650 225 via Prime
  202.    wt: 8:   14 GCD of 650 110 via Primes LCM via Product Rule
  203.    wt: 8:   11 GCD 2700 288 via Euclid Algorithm
  204.    wt: 8:   10 Euclid Algorithm with 129 125 and with 45 14
  205.    wt: 8:   8 GCD from Euclidean Algorithm
  206.    wt: 8:   5 Common Divisors 60 45 via Prime
  207.    wt: 8:   4 LCM of 8 and 10 via Prime
  208.    wt: 8:   4 Counting with Trees Product Rule Take I
  209.    wt: 8:   1 Counting and Counting Methods I
  210.    wt: 8:   11 What are real lengths and numbers
  211.    wt: 8:   6 Simplification of Fractions with Units
  212.    wt: 8:   20 Dividing Fractions the Why
  213.    wt: 8:   9 Improper Fractions and Mixed Numbers
  214.    wt: 8:   5 Equivalent Fractions
  215.    wt: 8:   4 Fraction Multiplication
  216.    wt: 8:   2 Unit Fraction Multiplication
  217.    wt: 8:   12 LCD GCD and LCM using Primes
  218.    wt: 8:   11 Efficient Square Rule Use
  219.    wt: 8:   5 Long Division Include Zeroes or not
  220.    wt: 8:   4 Division with 2 Digit Divsors
  221.    wt: 8:   B Powers of Ten
  222.    wt: 8:   2 One Digit Multipliers
  223.    wt: 8:   8 Review Lesson 1 2 4 and 6 All in One
  224.    wt: 8:   1 Place Value in Three Digit Whole Numbers
  225.    wt: 8:   Quick history of numbers and algebra
  226.    wt: 8:   Practical Methods Ends and Values for Arithmetic
  227.    wt: 8:   015 School and work day counting tables
  228.    wt: 8:   014 Counting Days with Calendars
  229.    wt: 8:   012 Division of Time Intervals by Time Intervals
  230.    wt: 8:   8 Addition of Time Intervals via subtotaling
  231.    wt: 8:   A Related Material in Volume 3
  232.    wt: 8:   27 Chain Rule sinusoidal outer inner functions EGS
  233.    wt: 8:   26 Chain Rule Recognising outer inner functions
  234.    wt: 8:   19 Chain Rule for linear functions
  235.    wt: 8:   18 Chain Rule Introduction
  236.    wt: 8:   17 Derivatives of quotients of sine and cosine
  237.    wt: 8:   14 sine and cosine derivatives 2nd step
  238.    wt: 8:   12 Quotient rule examples
  239.    wt: 8:   2 Motivation for Limit Definition Take 1
  240.    wt: 8:   11 Limits at infinity Three Examples
  241.    wt: 8:   8 Four Animated Examples
  242.    wt: 8:   6 Continuity at a point
  243.    wt: 8:   5 Jumps and absence of unlimited error control
  244.    wt: 8:   3 Decimal insights for limits continuity convergence
  245.    wt: 8:   2 Algebraic codification
  246.    wt: 8:   Postscript One Sided and Intermediate Value Theorems
  247.    wt: 8:   G.2 Lipshitz Conditions Integration Calculus Reform
  248.    wt: 8:   G.1 First Fundamental Theorem of Calculus
  249.    wt: 8:   G.6 Bounded Derivatives implies Lipshitz Continuity
  250.    wt: 8:   G.4 Lipschitz Continuity implies EquiContinuity
  251.    wt: 8:   G.2 Differentiable Functions Mean Value Theorem
  252.    wt: 8:   F.5a Equicontinuity Theorems
  253.    wt: 8:   F.3 Intermediate Value Theorem
  254.    wt: 8:   Foreword
  255.    wt: 8:   Appendix E. How To Study Mathematics and Why
  256.    wt: 8:   Chapter 29 Contrapositive and Vacuously True Implications
  257.    wt: 8:   Chapter 2 Implication Rules Forwards and Backwards
  258.    wt: 8:   Chapter 2 For and Against Mathematics
  259.    wt: 8:   Postscript B More on Story Telling and Reason
  260.    wt: 8:   Chapter 24 Direct and Indirect Reason
  261.    wt: 8:   Chapter 7 Longer Chains of Reason
  262.    wt: 8:   Chapter 6 Chains of Reason
  263.    wt: 8:   Multiple Ways to Improve Mathematics Skill Development
  264.    wt: 8:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  265.    wt: 7:   2 arithmetic with signed numbers
  266.    wt: 7:   1 arithmetic with unsigned numbers
  267.    wt: 7:   why bother
  268.    wt: 7:   three goals to set for students
  269.    wt: 7:   activities for students
  270.    wt: 7:   links Education Resources online
  271.    wt: 7:   site eurekas
  272.    wt: 7:   Postscript 2007 01 10
  273.    wt: 7:   What to Tell Students
  274.    wt: 7:   02 21 words for teachers
  275.    wt: 7:   cultivating intelligence
  276.    wt: 7:   How to be a better instructor
  277.    wt: 7:   chapitre 07 01 principle D induction mathematique
  278.    wt: 7:   chapitre 04 04 Parlons de la logique
  279.    wt: 7:   chapitre 02 00 La Communication des idees
  280.    wt: 7:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  281.    wt: 7:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  282.    wt: 7:   13 Addition and Addition Tables
  283.    wt: 7:   5 Patience Please for Yourself and Your Charges
  284.    wt: 7:   25 Absolute Value greatest integer and saw tooth functions
  285.    wt: 7:   17 Function maxima minima and their location
  286.    wt: 7:   4 Function notation in and beyond mathematics
  287.    wt: 7:   3 Formula or function graphing exercise
  288.    wt: 7:   7 arcsin left inverse of sine Definition
  289.    wt: 7:   11 Component Method
  290.    wt: 7:   28 Expressing products of sines cosines as sums
  291.    wt: 7:   17F Law of cosines
  292.    wt: 7:   8 period of tangent function
  293.    wt: 7:   7 period of sine and cosine
  294.    wt: 7:   1 Unit Points Reflections Rotations
  295.    wt: 7:   Unit Circle Development of Trigonometry
  296.    wt: 7:   9 The complex number valued trig function cis
  297.    wt: 7:   2 Complex Numbers made easier we hope
  298.    wt: 7:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  299.    wt: 7:   17 Arrows Rotate to Reverse with Length Unchanged
  300.    wt: 7:   16 Collinear Horizontal Arrows Vectors
  301.    wt: 7:   11 Signed Number Addition and Addition Properties
  302.    wt: 7:   9 Division with Digits after Decimal Point
  303.    wt: 7:   7 Arithmetic with Infinite Decimal Expansions
  304.    wt: 7:   5 Fractions with Infinite Decimal Expansions
  305.    wt: 7:   4 Location of Point in Decimal Addition
  306.    wt: 7:   1 Fractions with Finite Decimal Expansions
  307.    wt: 7:   C Three Decimal Subtraction Methods
  308.    wt: 7:   8 Column Multiplication Methods in General
  309.    wt: 7:   6 Column Methods for Decimal Multiplication
  310.    wt: 7:   5 Distributive Law for Whole Numbers
  311.    wt: 7:   2 Combing Counts Addition Skills and Principles
  312.    wt: 7:   16 Real Numbers Comparison
  313.    wt: 7:   13 Real Number Subtraction
  314.    wt: 7:   12 Real Number Additive Inverses or Negatives
  315.    wt: 7:   7 Real Numbers as Line Cordinates
  316.    wt: 7:   1 Whole and Natural Numbers
  317.    wt: 7:   5 Independent versus Dependent Variables
  318.    wt: 7:   4 Changing Letters
  319.    wt: 7:   More Exercises
  320.    wt: 7:   Simple Exercises
  321.    wt: 7:   11 Volume of Sphere
  322.    wt: 7:   9 Volume of Cone
  323.    wt: 7:   6 Three Notions of What is a Variable
  324.    wt: 7:   5 Talking about Numbers and Quantities
  325.    wt: 7:   2 What is a Variable
  326.    wt: 7:   12 GCD 2700 288 via Prime
  327.    wt: 7:   7 negative and additive inverse
  328.    wt: 7:   2 signed and unsigned numbers as coordinates
  329.    wt: 7:   7 Converting or Changing Units
  330.    wt: 7:   4 Fractions with Units
  331.    wt: 7:   D Three Term Ratios
  332.    wt: 7:   22 Complex Compound Fractions
  333.    wt: 7:   19 Dividing Fractions How TO
  334.    wt: 7:   6 Multiplication of Mixed Numbers
  335.    wt: 7:   13 Subtraction with Additive Inverse
  336.    wt: 7:   11 Adding Integers Formulas and Examples
  337.    wt: 7:   6 Multiplication by Natural Numbers
  338.    wt: 7:   3 Adding Movements with same direction
  339.    wt: 7:   Exact Arithmetic Wholes and Fractions
  340.    wt: 7:   Formula Evaluation how to show work
  341.    wt: 7:   Expression Evaluation how to show work
  342.    wt: 7:   The 12 Times Table Visually
  343.    wt: 7:   013 Travel Time Tables
  344.    wt: 7:   011 Division of Time Intervals By Numbers
  345.    wt: 7:   010 Repeated Addition of Time Intervals
  346.    wt: 7:   2 Time and Date Matters in School
  347.    wt: 7:   4 Definite Integrals Evaluation Exercises
  348.    wt: 7:   A Related lessons in Volume 3
  349.    wt: 7:   4 Second derivative test exercise example
  350.    wt: 7:   1 Two cubic sketching exercises with 1st derivative
  351.    wt: 7:   21 Chain Rule for powers
  352.    wt: 7:   10 Power rule for negative integers
  353.    wt: 7:   9 Reciprocal rule
  354.    wt: 7:   5 Product Rule
  355.    wt: 7:   9 Limits Continuity and Composition
  356.    wt: 7:   4 Numerical properties
  357.    wt: 7:   1 Numerical introduction
  358.    wt: 7:   G.3 Constant Difference Theorem Proof
  359.    wt: 7:   F.1 What Functions are Continuous
  360.    wt: 7:   E2 Algebraic Properties of Limits
  361.    wt: 7:   D1 Sets and Sequences GLBs and LGBs
  362.    wt: 7:   C Triangle Inequalities
  363.    wt: 7:   A1. Introduction
  364.    wt: 7:   Chapter 31 Direct and Indirect Reason
  365.    wt: 7:   Chapter 26 What is in chapters 27 to 31
  366.    wt: 7:   Chapter 25. Mathematical Induction Examples
  367.    wt: 7:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  368.    wt: 7:   Postscript Unifying Theme A Fourth Skill For Algebra
  369.    wt: 7:   Chapter 10 Describing and Changing Calculations
  370.    wt: 7:   Chapter 5 Islands and Divisions of Knowledge
  371.    wt: 7:   Chapter 3 Chains of Reason
  372.    wt: 7:   Chapter 6 Rule Based Reason in Mathematics
  373.    wt: 7:   Chapter 3 Algebra Difficulties
  374.    wt: 7:   Postscript A Story Telling
  375.    wt: 7:   Chapter 21 Occurrence Tables
  376.    wt: 7:   Chapter 18 Sense and Knowledge
  377.    wt: 7:   Chapter 10 Responsibility
  378.    wt: 7:   Chapter 1 Introduction
  379.    wt: 7:   R Why Learn Mathematics Skills
  380.    wt: 7:   P Exact Arithmetic With Whole Numbers and Fractions
  381.    wt: 7:   O On Learning Mathematics and Science
  382.    wt: 7:   Helping the Blind in Logic and Mathematics
  383.    wt: 7:   Mathematics Education References
  384.    wt: 7:   Mathematics Education References
  385.    wt: 6:   website reviews
  386.    wt: 6:   site origins
  387.    wt: 6:   three difficulties
  388.    wt: 6:   chapitre 12 00 les iles et division
  389.    wt: 6:   chapitre 04 09 Regles accidentelles
  390.    wt: 6:   chapitre 04 08 Limitations et benefices
  391.    wt: 6:   chapitre 04 07 RepetablesEtReproductibles
  392.    wt: 6:   chapitre 04 06 engagements
  393.    wt: 6:   chapitre 04 05 Implication versus suggestion
  394.    wt: 6:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  395.    wt: 6:   chapitre 04 00 Les regles d implication
  396.    wt: 6:   chapitre 01 00 Introduction
  397.    wt: 6:   Trois Notions qui menent a algebre
  398.    wt: 6:   A Wire Resistance Qualitative01
  399.    wt: 6:   27 Graduated Correction and Penalties for Young Offenders
  400.    wt: 6:   25 Mathematics Education Leaving A Good Impression
  401.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take IV
  402.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take III
  403.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take II
  404.    wt: 6:   16 Secondary Mathematics Tips
  405.    wt: 6:   6 Discipline Who is in Charge Conserving Authority
  406.    wt: 6:   22 Square Root function graphically
  407.    wt: 6:   15 Sign analysis of functions
  408.    wt: 6:   13 From one to one to many to one
  409.    wt: 6:   11 Function Domain Range Source and Targets
  410.    wt: 6:   6 Set Existence Formation and Notation
  411.    wt: 6:   2 Column Multiplication Method
  412.    wt: 6:   2 cosine function more properties
  413.    wt: 6:   1 cosine function properties
  414.    wt: 6:   19 N th Roots of Unity
  415.    wt: 6:   18 Sixth Roots of Unity
  416.    wt: 6:   17 Cube Roots of unity
  417.    wt: 6:   14 Law of cosines
  418.    wt: 6:   8 Unit Circle Development of Trigonometry
  419.    wt: 6:   4 Multiplication Properties
  420.    wt: 6:   About Folder Contents
  421.    wt: 6:   musings do not puiblish real numbers
  422.    wt: 6:   A Signed Number Arithmetic Review
  423.    wt: 6:   24 Signed Numbers Arithmmetic Properties
  424.    wt: 6:   22 Multiplication of Signed Numbers
  425.    wt: 6:   21 Addition of Multiples of a Single Vector
  426.    wt: 6:   12 Real Numbers Line Signed Coordinates
  427.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  428.    wt: 6:   2 Counting Digits in Decimal Multiplication
  429.    wt: 6:   E Long Division Methods more
  430.    wt: 6:   D Long Division Methods
  431.    wt: 6:   15 Real Number Division
  432.    wt: 6:   14 Real Number Multiplication
  433.    wt: 6:   11 Real Number Addition
  434.    wt: 6:   10 Real Number Lengths and Signs
  435.    wt: 6:   9 Coordinates for Regions in Space
  436.    wt: 6:   5 Rational Numbers More
  437.    wt: 6:   4 Rational Numbers
  438.    wt: 6:   3 Fractions
  439.    wt: 6:   3 Adding Words To Arithmetic
  440.    wt: 6:   6 GCD from Prime
  441.    wt: 6:   4 signed coordinates for regions in space
  442.    wt: 6:   21 Working With Signs
  443.    wt: 6:   D Remainders Modulo 11 Pair Rule
  444.    wt: 6:   C Divisibility by 11 Integer Recognition Method
  445.    wt: 6:   7 Addition of Time Intervals
  446.    wt: 6:   6 How long is a million seconds
  447.    wt: 6:   4 Mixing and Changing Units of Time
  448.    wt: 6:   3 Units and Lengths of Time
  449.    wt: 6:   1 Intro of Kids To Time Date Skills
  450.    wt: 6:   5 Area Under Curve Exercise
  451.    wt: 6:   3 Two Chain Rule Method Exercises
  452.    wt: 6:   3 Second derivative test
  453.    wt: 6:   2 Second derivative test prequel
  454.    wt: 6:   11 Quotient rule
  455.    wt: 6:   6 Power rule from product rule
  456.    wt: 6:   4 Sum Rule
  457.    wt: 6:   10 Three one sided limits with infinite values
  458.    wt: 6:   G.1 Differentiable Functions Rolles Theorem
  459.    wt: 6:   F.5b Extreme Value Theorem
  460.    wt: 6:   F.2 Closed Range Theorem
  461.    wt: 6:   E1 Error Control Inequalities
  462.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
  463.    wt: 6:   Appendix D. What to do in School and Why
  464.    wt: 6:   Appendix A. Reading Guide For Next Appendices
  465.    wt: 6:   Chapter 30 Truth Tables
  466.    wt: 6:   Chapter 27 Shorthand Symbols as Pronouns
  467.    wt: 6:   Chapter 23. Notation For Sums
  468.    wt: 6:   Chapter 20. Degrees and Radians
  469.    wt: 6:   Chapter 13. Second Reading Guide
  470.    wt: 6:   Postscript What is a Variable
  471.    wt: 6:   Chapter 9 Talking about Numbers or Quantities
  472.    wt: 6:   Chapter 7 Prep for Calculus Arithmetic Exercises
  473.    wt: 6:   Chapter 6 Change of Language
  474.    wt: 6:   Annotated Links to Material Elsehwere
  475.    wt: 6:   Chapter 4 Complex Numbers and Why Slopes
  476.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  477.    wt: 6:   Chapter 15 Objective Processes
  478.    wt: 6:   Chapter 5 Deception
  479.    wt: 6:   Chapter 2 Skill Development
  480.    wt: 6:   Three Remarks
  481.    wt: 6:   S Adding words to algebra
  482.    wt: 6:   N Mathematics Prepare for College Studies
  483.    wt: 6:   N Improving Marks on Tests and Finals
  484.    wt: 6:   I. Logic and language skills
  485.    wt: 6:   D. Check work a must with a caution
  486.    wt: 6:   Ends Values Methods For Skill Development Framework Prequel
  487.    wt: 6:   Implementation Notes
  488.    wt: 6:   Which Way To Go
  489.    wt: 5:   chapitre 05 00 Deception
  490.    wt: 5:   chapitre 04 02 Deuxieme enigme
  491.    wt: 5:   chapitre 04 01 Premiere enigme
  492.    wt: 5:   problemes algebre et arithmetique
  493.    wt: 5:   2 Conductance Resistance Duality02
  494.    wt: 5:   1 Conductance Resistance Duality01
  495.    wt: 5:   E Wire Resistance Calculation03
  496.    wt: 5:   23 Modularized Skill Development Modularized Rigor
  497.    wt: 5:   18 Primary School Mathematics
  498.    wt: 5:   17 Math Booklets for children and young teenagers
  499.    wt: 5:   12 Goals and Objectives For Mathematics
  500.    wt: 5:   24 Monotoncity Injectivity and Inverse Functions
  501.    wt: 5:   21 Graphs of functions given by Horizontal Line Method
  502.    wt: 5:   20 Interchanging coordinates a reflection
  503.    wt: 5:   16 Increasing or decreasing on intervals
  504.    wt: 5:   5 Function notation for geometric transformations
  505.    wt: 5:   2 Algebraic use of function notation
  506.    wt: 5:   8 Notes for instructors or tutors
  507.    wt: 5:   7 Links Lessons Elsewhere
  508.    wt: 5:   Rewriting algebraic substitution as function substitutions
  509.    wt: 5:   20 N th Roots of Complex Numbers
  510.    wt: 5:   6 Field Properties of Complex Number
  511.    wt: 5:   1 The Counting Origins of Numbers
  512.    wt: 5:   6 Unsigned Real Numbers
  513.    wt: 5:   10 Set View of Wordy Extensions To Arithmetic
  514.    wt: 5:   7 Cautious or Safe Set Construction
  515.    wt: 5:   3 Counting with Sets etc
  516.    wt: 5:   2 Venn Diagrams
  517.    wt: 5:   1 Three Skills For Algebra
  518.    wt: 5:   9 subtracting signed numbers
  519.    wt: 5:   8 multiplying signed numbers
  520.    wt: 5:   6 adding signed numbers
  521.    wt: 5:   5 lengths and signs of numbers
  522.    wt: 5:   12 Adding Integers More Examples
  523.    wt: 5:   10 Integer Multiplication Formulas
  524.    wt: 5:   8 Multiplication by Signed Numbers Integers
  525.    wt: 5:   7 Multiplication by Signs
  526.    wt: 5:   5 Zero Movement and Additive Inverses
  527.    wt: 5:   1 Integers as Coordinates
  528.    wt: 5:   5 Conversion Arithmetic
  529.    wt: 5:   2 Indefinite Integrals Exercises
  530.    wt: 5:   1 Chain Rule in Reverse Integration Method
  531.    wt: 5:   G.5 Motions With Bounded Velocities
  532.    wt: 5:   F.4 Finite Covering Theorem
  533.    wt: 5:   D2 Limits of Monotone Sequences
  534.    wt: 5:   Appendix C. How to Read
  535.    wt: 5:   Chapter 24. Personal Investment and Pension EGS
  536.    wt: 5:   Chapter 18. Rules for Algebra
  537.    wt: 5:   Chapter 15. Solving Linear Equations
  538.    wt: 5:   Chapter 12. Shorthand Usage Guide
  539.    wt: 5:   Chapter 11. Why Shorthand
  540.    wt: 5:   Chapter 8 Three Skills For Algebra
  541.    wt: 5:   Chapter 4 Longer Chains of Reason
  542.    wt: 5:   Chapter 1 Introduction to Chapters 2 to 6
  543.    wt: 5:   Postscript B Mathematics Education References
  544.    wt: 5:   Postscript A Three Remarks
  545.    wt: 5:   Chapter 11 Elementary Instruction
  546.    wt: 5:   Chapter 7 Two Treatments of Geometry
  547.    wt: 5:   Foreword
  548.    wt: 5:   Q How Logic and Proofs extend Show Work Practices
  549.    wt: 5:   M Words to extend arithmetic
  550.    wt: 5:   L Skills with take home value
  551.    wt: 5:   H Jigsaw puzzles and problem solving
  552.    wt: 5:   G. Written work formats for developing and showing skill
  553.    wt: 5:   F. The student teacher tutor feedback loop
  554.    wt: 5:   C. Domino effect of being careful
  555.    wt: 5:   A. Skill has to be seen to believed
  556.    wt: 4:   liens
  557.    wt: 4:   deux definitions pour variable
  558.    wt: 4:   F Wire Resistance Calculation04
  559.    wt: 4:   D Wire Resistance Calculation02
  560.    wt: 4:   C Wire Resistance Calculation01
  561.    wt: 4:   B Wire Resistance Qualitative02
  562.    wt: 4:   3 Like resistors in parallel
  563.    wt: 4:   24 Standards For Skill Develoment Take II
  564.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  565.    wt: 4:   14 Multiplication and Times Tables
  566.    wt: 4:   11 Help and Defend Your Child or Teens Education
  567.    wt: 4:   9 Streaming by Student Cooperation
  568.    wt: 4:   4 Learning Takes Time and Effort
  569.    wt: 4:   3 Preparing for Science Studies
  570.    wt: 4:   23 Inverse Functions
  571.    wt: 4:   19 Horizontal line rule and method
  572.    wt: 4:   18 Vertical Line Rule and Method
  573.    wt: 4:   12 Function Domain Recognition Exercises
  574.    wt: 4:   10 Interval Notation
  575.    wt: 4:   9 Set theory term relation possible origins
  576.    wt: 4:   8 Set view of relations and functions
  577.    wt: 4:   1 Geometric Introduction of Function Notation
  578.    wt: 4:   Introduction Reading Guide
  579.    wt: 4:   19 Signed Multiples of Vectors
  580.    wt: 4:   2 Integers
  581.    wt: 4:   6 Power Set Notation
  582.    wt: 4:   5 Product Builder Notation
  583.    wt: 4:   4 Subset Builder Notation
  584.    wt: 4:   About Folder Contents
  585.    wt: 4:   10 dividing signed numbers
  586.    wt: 4:   B Integer Long Division Multiple Choices
  587.    wt: 4:   9 Multiplying Integers
  588.    wt: 4:   4 Adding Movements wiht opposite directions
  589.    wt: 4:   2 Integers Multiplies of a Unit Moverment
  590.    wt: 4:   The 20 Times Table
  591.    wt: 4:   About folder contents
  592.    wt: 4:   Appendix B. How To Learn
  593.    wt: 4:   Chapter 28 Occurrence Tables
  594.    wt: 4:   Chapter 22. Geometric Sums and Sequences
  595.    wt: 4:   Chapter 21. Third Reading Guide
  596.    wt: 4:   Chapter 19. Functions and Sets
  597.    wt: 4:   Chapter 16. Painless Theorem Proving
  598.    wt: 4:   Solutions For Arithmetic Exercises
  599.    wt: 4:   Chapter 12 Four Phases
  600.    wt: 4:   Chapter 10 Transition
  601.    wt: 4:   Chapter 1 Introduction
  602.    wt: 4:   1 Links to Online Resources Elsewhere Take 1
  603.    wt: 4:   J. More on written work and showing skill
  604.    wt: 4:   E. When and how to correct errors
  605.    wt: 4:   How to Build Skills and Confidence
  606.    wt: 4:   Talking pdf files for online lessons a webvideo alternative
  607.    wt: 3:   problemes responses
  608.    wt: 3:   logique deux enigme
  609.    wt: 3:   3 Energy Power Heat08
  610.    wt: 3:   C Energy Power03
  611.    wt: 3:   2 Unlike resistors in parallel01
  612.    wt: 3:   24 Standards For Skill Develoment
  613.    wt: 3:   22 Student Centered Highschool Mathematics
  614.    wt: 3:   10 Ends values for work study instruction
  615.    wt: 3:   8 The Effect of Negative Remarks
  616.    wt: 3:   2 Reading and Writing Skills
  617.    wt: 3:   26 Function definitions done and coming
  618.    wt: 3:   7 Functions with finite domains
  619.    wt: 3:   8 Sets of Numbers
  620.    wt: 3:   1 Finite Sets
  621.    wt: 3:   Postscript More on Better Performance
  622.    wt: 3:   Postscript For Better Performance
  623.    wt: 3:   Chapter 9 The Two Ends
  624.    wt: 3:   Chapter 8 Modern Instruction
  625.    wt: 3:   Chapter 5 Four References
  626.    wt: 3:   H more Routine to non routine problem solving
  627.    wt: 3:   B. Domino effect of errors
  628.    wt: 3:   Road Safety Questions
  629.    wt: 2:   4 Energy Power Heat09
  630.    wt: 2:   2 Energy Power Heat07
  631.    wt: 2:   1 Energy Power Heat06
  632.    wt: 2:   A Energy Power01
  633.    wt: 2:   B Electromotive force conventional current01
  634.    wt: 2:   Home Tutoring and Home Schooling
  635.    wt: 2:   15 Counting For Parents
  636.    wt: 2:   7 Student Motivation
  637.    wt: 2:   1 Speaking Skills
  638.    wt: 2:   14 Surjections Injections Bijections
  639.    wt: 2:   Foreword
  640.    wt: 2:   Foreword
  641.    wt: 2:   The Math Forum and Site Content
  642.    wt: 22:   13 Pythagorean spatial distance formulas
  643.    wt: 1:   E Energy Power05
  644.    wt: 1:   D Energy Power04
  645.    wt: 1:   B Energy Power02
  646.    wt: 1:   1 Like resistors in series
  647.    wt: 1:   F Unlike Resistors in Series
  648.    wt: 1:   E Kirchoffs Second Law
  649.    wt: 1:   D Kirchoff First Law
  650.    wt: 1:   C Electromotive force conventional current02
  651.    wt: 1:   A Circuit Elements
  652.    wt: 19:   10 Pythagorean plane distance formula
  653.    wt: 18:   sign monoticity analysis example 3
  654.    wt: 18:   Parallel Lines and Parallel Transversals
  655.    wt: 18:   Parallel Lines and Alternating Corresponding Angles
  656.    wt: 18:   5 Cartesian Addition and Translation
  657.    wt: 17:   Proportionality of Line Segments From Parallel Transversals
  658.    wt: 17:   13 Navigation Location from Angles to 2 Landmarks
  659.    wt: 17:   3 Rectangular Coordinates Review
  660.    wt: 17:   3 Lengths and Areas on Maps and Plans
  661.    wt: 17:   3 Solving triangular system example
  662.    wt: 16:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  663.    wt: 16:   sign monoticity analysis example 4
  664.    wt: 16:   sign monoticity analysis example 2
  665.    wt: 16:   sign monoticity analysis example 1
  666.    wt: 16:   9 Summary Degrees to Radians and back
  667.    wt: 16:   3 Circle Arclengh Proportional to Central Angle
  668.    wt: 16:   9 Pythagorean Theorem Chinese Square Proof
  669.    wt: 16:   6 Polar Multiplication and Rotation
  670.    wt: 16:   1 Cartesian Coordinates sans signs
  671.    wt: 16:   3 Gaussian Elimination 3 unknowns first example
  672.    wt: 16:   4 Solving a triangular system exercise
  673.    wt: 16:   9 Remainder Arithmetic Divisibility by 5
  674.    wt: 16:   3 Harder Cases Convert to Compare and Subtract
  675.    wt: 16:   1 Comparison and Subtraction Easy Direct Cases
  676.    wt: 16:   Primary and Secondary Skills and Practices with Take Home Value
  677.    wt: 15:   Ramblings Introduction Algebra Essay
  678.    wt: 15:   7 Radian Measures in special Triangles
  679.    wt: 15:   4 Circle Sector Area proportional to Central Angle
  680.    wt: 15:   2 Radian Measure Numerical Value of one degree
  681.    wt: 15:   14 Why Scalar Multiplication Distributes Physical Argument
  682.    wt: 15:   2 Graphing y=Af(x) Vertical Scaling
  683.    wt: 15:   Parallel Lines and Interior Angles
  684.    wt: 15:   Construction Methods and Criteria for Isometric and Similar Triangles
  685.    wt: 15:   3 Straight Lines Slope as Tangent of Inclination Angle
  686.    wt: 15:   34 sines and cosines of 2A 3A 4A 5A
  687.    wt: 15:   33 sines and cosines of 2A 3A 4A 5A
  688.    wt: 15:   3 Similarity by Design with coordinates
  689.    wt: 15:   12 Spatial Coordinates
  690.    wt: 15:   11 Triangle Inequality
  691.    wt: 15:   8 Distance Between Points on a Line
  692.    wt: 15:   4 Polar Coordinates to and from
  693.    wt: 15:   2 Cartesian Coordinates with signs
  694.    wt: 15:   PS F Scalar Multiplication Distributes over Addition
  695.    wt: 15:   4 Angles on Maps Plans drawn to scale
  696.    wt: 15:   3 GE III Equation Addition and Multiplication
  697.    wt: 15:   A Decimals Modular and Remainder Arithmetic
  698.    wt: 15:   11 Remainder Arithmetic Long Division by 5 Quickly more
  699.    wt: 15:   10 Remainder Arithmetic Long Division by 5 Quickly
  700.    wt: 15:   Long Division forwards and backwards Example 3
  701.    wt: 15:   3. How to add with decimals A sans conversions
  702.    wt: 15:   Chapter 3. Slope Sign Analysis
  703.    wt: 15:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  704.    wt: 15:   Chapter 3 Algebra Starter Lessons
  705.    wt: 14:   Appendix 1 primary and preschool mathematic
  706.    wt: 14:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  707.    wt: 14:   8 quadratics backward use of various formulas
  708.    wt: 14:   3 Natural Logarithms and Exponentials Basic Properties
  709.    wt: 14:   8 Radian Measures of Common Angles
  710.    wt: 14:   1 Degrees and Radians Introduction
  711.    wt: 14:   14 Straight Lines Equations General Case
  712.    wt: 14:   35 sines and cosines of 2A 3A 4A 5A
  713.    wt: 14:   10 Similarity of Triangles Equivalent of Two Criteria
  714.    wt: 14:   9 Similarity of Triangles Usual Criteria
  715.    wt: 14:   8 Similarity of Triangles and Polygons
  716.    wt: 14:   7 Translations Rotations Reflections Dilatations
  717.    wt: 14:   5 Similarity of Circles Squares and Rectangles
  718.    wt: 14:   PS D Addition with Cartesian Coordinates
  719.    wt: 14:   PS C Similarity Use Recognize it in Trigonometry
  720.    wt: 14:   13 Angle Side Angle Failure
  721.    wt: 14:   3 Isometry of Triangles Congruence
  722.    wt: 14:   5 Drawing to Scale Avoids Angle Distortions
  723.    wt: 14:   4 Rates Ratios and Proporitionality
  724.    wt: 14:   3 Proportionality Examples
  725.    wt: 14:   5 Gaussian Elimination for 3 unknowns 2nd example
  726.    wt: 14:   2 Essentially one exercises three with solution
  727.    wt: 14:   6 Pythagorean Hypotenuse Calculation Example
  728.    wt: 14:   27 Divisibility by 2 3 6 5 9 10 Example
  729.    wt: 14:   26 Divisibility by 2 3 5 Example
  730.    wt: 14:   13 Remainder Arithmetic Modulo 5 Example
  731.    wt: 14:   Long Division forwards and backwards Example 2
  732.    wt: 14:   Long Division forwards and backwards Example 1
  733.    wt: 14:   A Elementary Basis for Multiplication Methods
  734.    wt: 14:   Appendix 1 Decimals Comparison Method Take II
  735.    wt: 14:   2 Subtraction Easy Case Examples
  736.    wt: 14:   11 Place Value SI Standard International way
  737.    wt: 14:   Chapter 19. Exponentials and Natural Logarithms
  738.    wt: 14:   Chapter 14 Limits and Continuity with and sans Decimals
  739.    wt: 14:   Chapter 7 Calculus Previews and Calculus Lightly
  740.    wt: 14:   Chapter 6 More Algebra and Geometry
  741.    wt: 14:   Chapter 4 Logic for Reading Writing and Geometry etc
  742.    wt: 14:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  743.    wt: 13:   C LAMP Introduction Culture in Mathematics Education
  744.    wt: 13:   Skills Chapter 3 Algebra
  745.    wt: 13:   A Quadratics Summary
  746.    wt: 13:   9 quadratics physical and further context
  747.    wt: 13:   6 quadratics numerical approach
  748.    wt: 13:   3 quadratics factoring by inspection
  749.    wt: 13:   6 Radian Measure to Degrees
  750.    wt: 13:   5 Degrees to Radian Measure
  751.    wt: 13:   7 Coordinate Addition and Scalar Multiplication
  752.    wt: 13:   4 graphing y=Asin(x c)
  753.    wt: 13:   3 graphing y=f(x c) plus K
  754.    wt: 13:   1 graphing y=f(x a)
  755.    wt: 13:   Triangle Angles Sum To 180 Degrees
  756.    wt: 13:   SAS Method For Isometric Or Proportional Triangle Construction
  757.    wt: 13:   Analytic View of Triangle Construction or Line Instersection More
  758.    wt: 13:   Straight Lines ASA Intersection Study More
  759.    wt: 13:   Straight Lines ASA Intersection Study
  760.    wt: 13:   13 Straight Lines Finding Equations from 2 points
  761.    wt: 13:   12 Straight Lines Graphing mx plus b
  762.    wt: 13:   11 Straight Lines Graphing y=mx
  763.    wt: 13:   7 Tangent Function is odd on this domain
  764.    wt: 13:   6 Tangent Function Inclination Angle Take 2
  765.    wt: 13:   2 Straight Lines Slopes As Rise Over Run
  766.    wt: 13:   11 Triangle Similarity Missing Side Problem
  767.    wt: 13:   6 Geometric Diagrams in Class
  768.    wt: 13:   1 Early Concept of Like or Similar Shapes
  769.    wt: 13:   11 A Partial Summary
  770.    wt: 13:   7 Complex Numbers Appetizer
  771.    wt: 13:   PS G Rotation Distributes over Addition
  772.    wt: 13:   PS E Multiplication with Polar Coordinates
  773.    wt: 13:   PS B Parallelogram Construction Methods
  774.    wt: 13:   18 Triangle Similarity Take 1
  775.    wt: 13:   16 Angles Subtended By Chords and Diameters
  776.    wt: 13:   6 Ruler and compass Angle Bisection
  777.    wt: 13:   8 More Use of Maps Not Drawn to Scale
  778.    wt: 13:   2 Measuring Area Directly
  779.    wt: 13:   3 Inequalities Algebraically
  780.    wt: 13:   5 Proportionality in Equivalent Fractions
  781.    wt: 13:   1 What is Proportionality
  782.    wt: 13:   9 Circle Area and Perimeter Formula Backwards Forwards
  783.    wt: 13:   8 Pythagorean Relation Forwards Backwards
  784.    wt: 13:   4 Rectangle Area and Like Formulas Backwards
  785.    wt: 13:   2 More and Less Than for Counts and Measures
  786.    wt: 13:   1 Essentially One Unknown
  787.    wt: 13:   3 Two Examples
  788.    wt: 13:   3 Triangle Area Formula Example
  789.    wt: 13:   2 Another Rectangle Area Formula Example
  790.    wt: 13:   C Equality for Fractions and Two Term Ratios and Fractions
  791.    wt: 13:   Fraction Operations by Raising Terms A Simple Innovation
  792.    wt: 13:   25 Divisibility Tests for 2 3 5 9 10 Example
  793.    wt: 13:   15 Remainder Arithmetic Modulo 9 Example
  794.    wt: 13:   14 Remainder Arithmetic Modulo 9 Example
  795.    wt: 13:   12 Remainder Arithmetic Modulo 10 Example
  796.    wt: 13:   8 Remainder Arithmetic Morulo 5 Examples II
  797.    wt: 13:   7 Remainder Arithmetic Modulo 5 Examples I
  798.    wt: 13:   Video Decimal Multiplication Geometric View Example 2
  799.    wt: 13:   Subtraction Another Video Lesson
  800.    wt: 13:   7 Subtraction for Decimal Fractions with Exercises
  801.    wt: 13:   7 Adding decimal fractions using decimal point
  802.    wt: 13:   Example 1. Area Between x and x squared
  803.    wt: 13:   33 Chain Rule Real Player video examples
  804.    wt: 13:   Postscript Pythagorean Theorem yet another proof
  805.    wt: 13:   Chapter 18. Slopes Areas Integration
  806.    wt: 13:   Chapter 17. Area Approximation
  807.    wt: 13:   Chapter 15. Algebraic Evaluation of Limits
  808.    wt: 13:   Chapter 13. Acceleration
  809.    wt: 13:   Chapter 4. More Slope Sign Analysis
  810.    wt: 13:   5 Interpreting and Drawing Maps and Plans.
  811.    wt: 13:   4 Money Matters Saving Earning Buying Selling and Budgets
  812.    wt: 13:   3 Telling Tracking Time Temporal and More Place Sense
  813.    wt: 13:   2 Identifying Size and Position Place and Spatial Sense
  814.    wt: 13:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  815.    wt: 13:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  816.    wt: 12:   Appendix 2 primary school Arithmetic 01
  817.    wt: 12:   I LAMP Introduction Study Habits
  818.    wt: 12:   E LAMP Introduction Modern Mathematics
  819.    wt: 12:   B LAMP Introduction Curriculum Development Standards
  820.    wt: 12:   3 Euclidean Geometry Leanly
  821.    wt: 12:   7 quadratic formulla derivation
  822.    wt: 12:   2 quadratics graphing in general
  823.    wt: 12:   1 quadratics graphing exercises
  824.    wt: 12:   5 Natural Logarithm Calculator Exercises
  825.    wt: 12:   A Global Time and Navigation
  826.    wt: 12:   3 Navigation with Arrows or Vectors
  827.    wt: 12:   D Straight Lines Slope from Coordinates Examples
  828.    wt: 12:   A Straight Line Slope Scaling Properties
  829.    wt: 12:   10 Straight Lines through Origin Equations More
  830.    wt: 12:   9 Straight Lines through Origin Equations
  831.    wt: 12:   8 Straight Lines Equation for vertical
  832.    wt: 12:   31 basic secant cosecant cotangent trig identities
  833.    wt: 12:   29 secant cosecant and cotangent for acute angles
  834.    wt: 12:   5 Trigonometric Ratios For Tangent and Special Triangles
  835.    wt: 12:   2 Similar Triangles Equality of Corresponding Side Ratios
  836.    wt: 12:   12 Triangles Similarity More Problems
  837.    wt: 12:   4 Similarity Definition with Coordinate
  838.    wt: 12:   2 Similarity By Design
  839.    wt: 12:   7 Exercises to test skill and concept mastery
  840.    wt: 12:   What is and is not here
  841.    wt: 12:   Euclidean Geometry Elsewhere LINKS
  842.    wt: 12:   PS H Distributive Law For Complex Numbers
  843.    wt: 12:   21 Parallelograms
  844.    wt: 12:   19 Right Triangle Similarity
  845.    wt: 12:   15 Triangle Angle Sum is 180 degrees
  846.    wt: 12:   14 Parallel Lines Postulate
  847.    wt: 12:   6 Figuring with Maps Not to Scale
  848.    wt: 12:   1 Decimals Modular and Remainder Arithmetic
  849.    wt: 12:   5 Triangle Area Formula Backwards
  850.    wt: 12:   5 Greater More Less Than Signs in General
  851.    wt: 12:   4 Comparison of Negative Numbers
  852.    wt: 12:   3 More and Less Than with Unlike Signs
  853.    wt: 12:   1 Real Numbers Comparison
  854.    wt: 12:   4 GE III Animated Examples
  855.    wt: 12:   13 Fraction Comparison Algebraic View
  856.    wt: 12:   8 Numerals Fractionals Quantals Take II
  857.    wt: 12:   6 Multiplication Algebraically Take II
  858.    wt: 12:   24 Divisibility Tests for 2 3 5 9 10
  859.    wt: 12:   23 Remainder Arithmetic Modulo 2
  860.    wt: 12:   22 Remainder Arithmetic Modulo 3 more
  861.    wt: 12:   21 Remainder Arithmetic Modulo 3
  862.    wt: 12:   19 Remainder Arithmetic Rule of 9 for checking sums III
  863.    wt: 12:   16 Remainder Arithmetic Modulo 9 Example 2
  864.    wt: 12:   6 Remainder Arithmetic Modulo 5 Propertie
  865.    wt: 12:   4 Remainder Arithmetic Modulo 10 in general
  866.    wt: 12:   3 Remainder Arithmetic Modulos 10 more still
  867.    wt: 12:   10 video Prime Factorization upto 23 squared
  868.    wt: 12:   7 Calculator Usage Notes and Cautions
  869.    wt: 12:   5 Prime Factorization and a Square Rule
  870.    wt: 12:   3 video Primes and Composites from 9 times table
  871.    wt: 12:   Long Division Backward
  872.    wt: 12:   10 Division by Five Long and Short Ways
  873.    wt: 12:   3 Division Single Digit Divisor Example
  874.    wt: 12:   Video Decimal Multiplication Geometric View Example 2
  875.    wt: 12:   Video Power Notation in Decimal Expansion
  876.    wt: 12:   Appendix 2 Three Decimal Subtraction Methods
  877.    wt: 12:   Subtraction with J Conversions Example
  878.    wt: 12:   6 Subtraction with Conversion Example with Exercises
  879.    wt: 12:   Appendix 1 Counting Revisited 15 minute video
  880.    wt: 12:   8 What skills and work habits to require
  881.    wt: 12:   6. Counting and adding units and mixed units
  882.    wt: 12:   5. How to add decimals C. Examples
  883.    wt: 12:   1. Explaining Addition Table
  884.    wt: 12:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  885.    wt: 12:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  886.    wt: 12:   5 More on Groups of 3 Place Value in Decimal Fractions
  887.    wt: 12:   4 Groups of 3 Place Value in Decimal Fractions
  888.    wt: 12:   3 More on Groups of 3 Multi Digit Place Value
  889.    wt: 12:   Example 1 volume of a pyramid
  890.    wt: 12:   A Chain Rule Real Player video examples
  891.    wt: 12:   Chapter 24 Logarithms Powers and Exponentials
  892.    wt: 12:   Chapter 23 Links To Trigonometry
  893.    wt: 12:   Chapter 16. Velocity Approximation
  894.    wt: 12:   Chapter 7 Slopes and Velocity
  895.    wt: 12:   Chapter 6. Slopes and Vertical Shifts
  896.    wt: 12:   Chapter 2. Slopes and Ski Trails
  897.    wt: 12:   Fall 1983 Calculus Appetizer
  898.    wt: 12:   Chapter 17 Objective Ways Trial and Error Discovery
  899.    wt: 12:   Appendix A Calculus with Proofs for Keen or Gifted
  900.    wt: 12:   Chapter 8 Skipped Topics and Why
  901.    wt: 11:   H LAMP Introduction Instructional Concepts
  902.    wt: 11:   F LAMP Introduction Prerequisites
  903.    wt: 11:   Ramblings Extrinsic numbers theory
  904.    wt: 11:   8 analytic geometry etc
  905.    wt: 11:   Applied Maths Program14092009 POMME variant
  906.    wt: 11:   teaching tutoring algebraic reason
  907.    wt: 11:   Education in mathematics science and technology
  908.    wt: 11:   10 quadratic exercises
  909.    wt: 11:   5 quadratics completing the square
  910.    wt: 11:   4 quadratics difference of two squares
  911.    wt: 11:   Quadratics in 10 steps
  912.    wt: 11:   6 Polynomial Operations and Equivalent Computation Rules
  913.    wt: 11:   13 Velocity Vectors in Physics
  914.    wt: 11:   10 Parallelogram Addition Method
  915.    wt: 11:   5 Head To Tail Arrow Addition
  916.    wt: 11:   Straight Lines Instersection Solving Equations
  917.    wt: 11:   Straight Lines Intersection of
  918.    wt: 11:   C Straight Lines Slope from Coordinates
  919.    wt: 11:   B Straight Line Slope Scaling Properties More
  920.    wt: 11:   5 Tangent Function Graph
  921.    wt: 11:   32 seven rows of pascals triangle
  922.    wt: 11:   19 Pythagorean Identity For sine and cosine functions
  923.    wt: 11:   18 sum of sinusoidal waves as a single wave
  924.    wt: 11:   16 Right Triangle Complementary Angle Relations
  925.    wt: 11:   15 sine cosine Complementary Angle Relations
  926.    wt: 11:   13 Graph of tangent function many periods
  927.    wt: 11:   6 Trigonometry Sines of Supplementary Angles
  928.    wt: 11:   Why Trigonometry the whyslopes view
  929.    wt: 11:   10 Midpoint of [a b] and [b a]
  930.    wt: 11:   6 Intersection of lines by solving linear systems
  931.    wt: 11:   5 Algebraic View of Slopes
  932.    wt: 11:   3 Slope product for perpendicular lines
  933.    wt: 11:   1 Numerical view of lines and their equations
  934.    wt: 11:   PS A Kite Construction Methods
  935.    wt: 11:   17 Right Bisectors of Triangle Sides
  936.    wt: 11:   12 Side Angle Side Failure
  937.    wt: 11:   11 Triangle Construction Fails
  938.    wt: 11:   10 Dropping a perpendicular to line
  939.    wt: 11:   9 Construction of a right bisector
  940.    wt: 11:   8 Isoceles Triangles
  941.    wt: 11:   7 Angle Side Angle
  942.    wt: 11:   1 Initial Concepts and Terms
  943.    wt: 11:   Short Course on Euclidean Geometry
  944.    wt: 11:   A Measurement with Ruler Proper Use
  945.    wt: 11:   25 Mid way Convergence to Axiomatic Approach
  946.    wt: 11:   5 Areas of Rectangles Revisited
  947.    wt: 11:   4 Fraction Operations Axiomatic Development
  948.    wt: 11:   2 Fraction Operations Physical Development
  949.    wt: 11:   2 Algebraic View
  950.    wt: 11:   6 Equations and Systems Equivalent or Implied
  951.    wt: 11:   5 Equality in Algebra
  952.    wt: 11:   4 Subtraction and Division Axioms
  953.    wt: 11:   2 Addition and Multiplication Axioms
  954.    wt: 11:   2 GE II Comparison
  955.    wt: 11:   6 Algebraic Solution Example
  956.    wt: 11:   5 Algebraic Solutions Introduction
  957.    wt: 11:   4 Four Examples Fractional Coefficients
  958.    wt: 11:   3 Four Examples
  959.    wt: 11:   10 One Example
  960.    wt: 11:   9 Three Examples
  961.    wt: 11:   8 One Example
  962.    wt: 11:   7 Two Examples
  963.    wt: 11:   6 Three Examples
  964.    wt: 11:   5 Three Examples
  965.    wt: 11:   4 Two Examples
  966.    wt: 11:   2 Three Examples
  967.    wt: 11:   13 Naming Identifying Formulas with Words
  968.    wt: 11:   4 Circle Area Formula Example
  969.    wt: 11:   3 Comparison of Negative Numbers
  970.    wt: 11:   1 Squares and Square Roots Introduction
  971.    wt: 11:   9 GCD of 360 110 via Primes and Euclid Algorithm
  972.    wt: 11:   2 Least Common Multiple LCM intro via list method
  973.    wt: 11:   A Similarities between Fractions and Two Term Ratios
  974.    wt: 11:   17 Efficient Ways to Add and Subtract
  975.    wt: 11:   16 Addition Subtraction Comparision Compared
  976.    wt: 11:   7 Numerals Fractionals Quantals
  977.    wt: 11:   3 Unit fraction of a fraction
  978.    wt: 11:   1 What is a fraction Take II
  979.    wt: 11:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  980.    wt: 11:   18 Remainder Arithmetic Rule of 9 for checking sums II
  981.    wt: 11:   17 Remainder Arithmetic Rule of 9 for checking sums I
  982.    wt: 11:   5 Remainder Arithmetic Modulo 5
  983.    wt: 11:   2 Remainder Arithmetic Modulo 10 more
  984.    wt: 11:   1 Remainder Arithmetic Modulo 10
  985.    wt: 11:   18 video Count Factors given Prime Factorization
  986.    wt: 11:   15 video Factors of 20 using Prime Factorization
  987.    wt: 11:   13 video Factors of 24 using prime
  988.    wt: 11:   9 video Prime Factorization upto 19 squared
  989.    wt: 11:   4 video Prime Factorization Introduction
  990.    wt: 11:   1 video how Products are bigger than factor
  991.    wt: 11:   Long Division Backwards more
  992.    wt: 11:   7 Long Divison Mistake Catching
  993.    wt: 11:   6 Why Decimal Long Division Methods Works Take I
  994.    wt: 11:   5 Decimal Fraction Multiplication
  995.    wt: 11:   8 Subtraction with Units of Measure
  996.    wt: 11:   5 A Tip for Efficent Subtraction
  997.    wt: 11:   4 Subtraction with Conversions Borrows and Letter J
  998.    wt: 11:   4. How to add with decimals B with conversions
  999.    wt: 11:   2 Decimal Counting Practices
  1000.    wt: 11:   9 Place Value Review Decimal form of Avogrados number included
  1001.    wt: 11:   Area Between Crossing Curves Lesson Take 2
  1002.    wt: 11:   Area Between Crossing Curves Lesson Take 1
  1003.    wt: 11:   Example 4 with x function of y
  1004.    wt: 11:   Example 3
  1005.    wt: 11:   Area Between Curves Lesson Take 2
  1006.    wt: 11:   Area Between Curves Lesson Take 1
  1007.    wt: 11:   38 Formulas and derivatives for powers and roots
  1008.    wt: 11:   1 Fall 1983 Why Slopes Appetizer
  1009.    wt: 11:   7 Evaluation by immediate or delayed substitution
  1010.    wt: 11:   Chapter 21 Arrow Addition
  1011.    wt: 11:   Chapter 15. Slope Approximation
  1012.    wt: 11:   Chapter 12. Units and Slopes
  1013.    wt: 11:   Chapter 10 Slopes and Units
  1014.    wt: 11:   Chapter 9 About First Courses in Calculus
  1015.    wt: 11:   Chapter 22 Contrapositive and Vacuously True Implications
  1016.    wt: 11:   Chapter 4 Implication Rules Forwards and Backwards
  1017.    wt: 11:   Chapter 3 What is in chapters 4 to 8
  1018.    wt: 11:   Chapter 2 Why Sets
  1019.    wt: 11:   Chapter 1 Arithmetic
  1020.    wt: 11:   6 Measuring via counting or arithmetic the role of fractions
  1021.    wt: 11:   Systematic Algebra Skill Development Missing Links
  1022.    wt: 11:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  1023.    wt: 11:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  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:   A Introduction Objectives
  1028.    wt: 10:   Skills Chapter 5 Calculus
  1029.    wt: 10:   Skills Chapter 2 Geometry
  1030.    wt: 10:   Skills Chapter 1 Arithmetic
  1031.    wt: 10:   Skills Chapter 0 Introduction
  1032.    wt: 10:   7 logic review and decimals an odd combination
  1033.    wt: 10:   5 logarithms and exponentials etc
  1034.    wt: 10:   Math Ed if it must be short make it lean effective
  1035.    wt: 10:   grouping students according to ability
  1036.    wt: 10:   what should be learnt and When
  1037.    wt: 10:   Education Reform Inconsistencies
  1038.    wt: 10:   five decades make a difference
  1039.    wt: 10:   Maps Plans Drawings
  1040.    wt: 10:   Secondary Three Mathematics
  1041.    wt: 10:   Secondary Two Mathematics
  1042.    wt: 10:   Secondary One Mathematics
  1043.    wt: 10:   talk the algebra talk
  1044.    wt: 10:   three goals for Mathematics Education
  1045.    wt: 10:   standards for course material
  1046.    wt: 10:   education an empirical art
  1047.    wt: 10:   Ages 12 to 14 Skills with take home value
  1048.    wt: 10:   Ages 3 plus to 4 plus
  1049.    wt: 10:   11 Growth and Decay in Biology
  1050.    wt: 10:   10 Exponential Growth and Decay Models
  1051.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms
  1052.    wt: 10:   1 Calculator Starter Exercises
  1053.    wt: 10:   5 Polynomials Long division Nonlinear divisor
  1054.    wt: 10:   4 Polynomials Long division linear divisor
  1055.    wt: 10:   3 Polynomials Multiplication Addition
  1056.    wt: 10:   16 cotangent function Definition Graph and Inverse
  1057.    wt: 10:   15 cosecant function Definition Graph and Inverse
  1058.    wt: 10:   13 cosecant function Definition Graph and Inverse
  1059.    wt: 10:   11 arctan left inverse of tangent Graph
  1060.    wt: 10:   5 Swapping Coordinates is a reflection
  1061.    wt: 10:   12 From Applied To Pure Mathematics
  1062.    wt: 10:   9 Head to Tail Coordinate View
  1063.    wt: 10:   4 Tangent Function Properties
  1064.    wt: 10:   1 Straight Lines Slope Concept
  1065.    wt: 10:   24 tangent Angle Difference Formula
  1066.    wt: 10:   22 sine of 22.5 degrees via half angle formulas
  1067.    wt: 10:   21 sine and cosine Half Angle Formulas
  1068.    wt: 10:   17D cis formulas for sine cosines and tangent
  1069.    wt: 10:   17B sine cosine Angle Sum Formulas via cis
  1070.    wt: 10:   14 cosine even and sine and tangent are odd
  1071.    wt: 10:   10 Graphs of sines and cosines many periods
  1072.    wt: 10:   6 sines and cosines for reference angle 30 degrees
  1073.    wt: 10:   5 An Easy Proof of the Distributive Law
  1074.    wt: 10:   8 Triangles Cascade Problem Solving
  1075.    wt: 10:   4 Trigonometric Ratios For Two Special Triangles
  1076.    wt: 10:   3 Trigonometric Ratios sine and cosine
  1077.    wt: 10:   Right Triangle and Unit Circle Trigonometry
  1078.    wt: 10:   9 Midpoint Coordinates Half Endpoint Sum
  1079.    wt: 10:   2 point slope equation for a line
  1080.    wt: 10:   5 Side Angle Side
  1081.    wt: 10:   2 Correspondence between Triangles
  1082.    wt: 10:   1 Length Measurement
  1083.    wt: 10:   15 Head to Tails in place Addition Associative
  1084.    wt: 10:   B Decimal Comparison and Subtraction
  1085.    wt: 10:   7 Pythagorean Theorem Chinese Square Proof
  1086.    wt: 10:   6 Compound Interest Forward and Backwards
  1087.    wt: 10:   3 Linear Equation Literal Solution More
  1088.    wt: 10:   3 Geometric Formulas and Function Notation
  1089.    wt: 10:   1 GE Substitution four examples
  1090.    wt: 10:   1 Proper Equal Sign Usage
  1091.    wt: 10:   Skill Development Notes
  1092.    wt: 10:   8 Compound Interest Formula Evaluation
  1093.    wt: 10:   1 More and Less Than for Counts and Measures
  1094.    wt: 10:   3 Properties of Square Roots with example
  1095.    wt: 10:   3 Counting with Tables and Trees II
  1096.    wt: 10:   3 signed coordinates for maps and planes
  1097.    wt: 10:   5 Reciprocals and Division for Fractions with Units
  1098.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  1099.    wt: 10:   14 Adding and Subtracting with Like Denominators
  1100.    wt: 10:   11 Simplification an Algebraic View
  1101.    wt: 10:   10 Simplification of Fractions and Mixed Numerals
  1102.    wt: 10:   1 What is a fraction
  1103.    wt: 10:   19 video Prime Factorization Unique
  1104.    wt: 10:   17 Identify and Count Factors using Primes
  1105.    wt: 10:   14 video Factors of 24 Take II
  1106.    wt: 10:   8 video Prime Factorization upto 19
  1107.    wt: 10:   6 Sieve of Eratosthenes and Square Rule
  1108.    wt: 10:   Division with Counts and Length
  1109.    wt: 10:   12 Why Long Division Works Take III
  1110.    wt: 10:   11 Another Single Digit Divisor Example
  1111.    wt: 10:   9 Why Long Division Works Take II
  1112.    wt: 10:   1 Divsion Physical Examples
  1113.    wt: 10:   D Decimal Multiplication Methods Derived
  1114.    wt: 10:   C Counting Areas with Powers of Ten
  1115.    wt: 10:   6 Multiplication Commutes Order Not Important
  1116.    wt: 10:   3 More One Digit Multipliers
  1117.    wt: 10:   1 Why 3 times 5 gives 15
  1118.    wt: 10:   9 22 Minute Subtraction Review Video
  1119.    wt: 10:   2 Groups of Three Place Value for Multidigit Decimals
  1120.    wt: 10:   Example 2 volume of a cone
  1121.    wt: 10:   Example 2
  1122.    wt: 10:   Example 1
  1123.    wt: 10:   36 Cube root derivative animated
  1124.    wt: 10:   28 Chain Rule Preparation for a Proof
  1125.    wt: 10:   25 Chain Rule Animated Examples Continued
  1126.    wt: 10:   24 Chain Rule Animated Examples
  1127.    wt: 10:   22 Chain Rule for polynomials
  1128.    wt: 10:   7 Animated Differentiation Examples
  1129.    wt: 10:   13 Limits with Parameters and Derivatives Take II
  1130.    wt: 10:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  1131.    wt: 10:   Chapter 20 Vectors and Complex Numbers
  1132.    wt: 10:   Chapter 11. Graphing Slope versus Position
  1133.    wt: 10:   Chapter 8. Slope Interpretation
  1134.    wt: 10:   Chapter 1.Introduction
  1135.    wt: 10:   Postscript C Consistency as a Tool for Reason
  1136.    wt: 10:   Chapter 16 Origins and Limitations of Rules and Patterns
  1137.    wt: 10:   Chapter 14 Deductive and Empirical Views of Mathematics
  1138.    wt: 10:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  1139.    wt: 10:   Chapter 12 Islands and Divisions of Knowledge
  1140.    wt: 10:   7 Games and Activities for Instruction
  1141.    wt: 10:   1 From Number Recognition and Counting to Arithmetic A
  1142.    wt: 10:   More Algebra and Slope based Calculus Preview
  1143.    wt: 10:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

Return to Page Top

Home << Search

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

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

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

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

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