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 Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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

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

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

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

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

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

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78 matches:

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

Web Page Search

476 matches:

  1.    wt: 7:   chapitre 07 00 Des chaines plus longues de la raison
  2.    wt: 7:   chapitre 06 00 Chaines de la raison
  3.    wt: 5:   chapitre 02 00 La Communication des idees
  4.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  5.    wt: 4:   5 Independent versus Dependent Variables
  6.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  7.    wt: 3:   chapitre 12 00 les iles et division
  8.    wt: 3:   chapitre 05 00 Deception
  9.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
  10.    wt: 3:   chapitre 04 09 Regles accidentelles
  11.    wt: 3:   chapitre 04 07 RepetablesEtReproductibles
  12.    wt: 3:   chapitre 04 04 Parlons de la logique
  13.    wt: 3:   chapitre 04 00 Les regles d implication
  14.    wt: 3:   chapitre 03 A Propos Des Prochains Chapitre
  15.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take IV
  16.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take III
  17.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take II
  18.    wt: 3:   23 Modularized Skill Development Modularized Rigor
  19.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  20.    wt: 3:   4 Side Side Side
  21.    wt: 3:   A Modular and Remainder Arithmetic
  22.    wt: 3:   1 Formulas Dependence and Function Notation
  23.    wt: 3:   arithmetic videos Real Player Format
  24.    wt: 3:   D Decimal Multiplication Methods Derived
  25.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  26.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  27.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  28.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  29.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  30.    wt: 2:   E LAMP Introduction Modern Mathematics
  31.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  32.    wt: 2:   8 analytic geometry etc
  33.    wt: 2:   3 Euclidean Geometry Leanly
  34.    wt: 2:   three goals to set for students
  35.    wt: 2:   five decades make a difference
  36.    wt: 2:   chapitre 04 08 Limitations et benefices
  37.    wt: 2:   chapitre 04 06 engagements
  38.    wt: 2:   chapitre 04 02 Deuxieme enigme
  39.    wt: 2:   chapitre 01 00 Introduction
  40.    wt: 2:   problemes algebre et arithmetique
  41.    wt: 2:   deux definitions pour variable
  42.    wt: 2:   9 Set theory term relation possible origins
  43.    wt: 2:   8 Set view of relations and functions
  44.    wt: 2:   7 quadratic formulla derivation
  45.    wt: 2:   10 Exponential Growth and Decay Models
  46.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  47.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  48.    wt: 2:   30 unit circle calculation of six trigonometric functions
  49.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  50.    wt: 2:   11 tangent function undefined when terminal side vertical
  51.    wt: 2:   Unit Circle Development of Trigonometry
  52.    wt: 2:   8 Unit Circle Development of Trigonometry
  53.    wt: 2:   1 Rectangular Polar Coordinates Review
  54.    wt: 2:   Appetizer A Complex Number Applet
  55.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  56.    wt: 2:   11 Triangle Similarity Missing Side Problem
  57.    wt: 2:   7 Translations Rotations Reflections Dilatations
  58.    wt: 2:   6 Geometric Diagrams in Class
  59.    wt: 2:   4 Similarity Definition with Coordinate
  60.    wt: 2:   3 Similarity by Design with coordinates
  61.    wt: 2:   2 Similarity By Design
  62.    wt: 2:   10 Pythagorean plane distance formula
  63.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  64.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  65.    wt: 2:   16 Angles Subtended By Chords and Diameters
  66.    wt: 2:   12 Side Angle Side Failure
  67.    wt: 2:   5 Side Angle Side
  68.    wt: 2:   2 Correspondence between Triangles
  69.    wt: 2:   Short Course on Euclidean Geometry
  70.    wt: 2:   23 Distributive Law Two Derivations
  71.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  72.    wt: 2:   C Three Decimal Subtraction Methods
  73.    wt: 2:   A Decimal Addition Columm Methods
  74.    wt: 2:   7 Decimals Multiplication Methods Examples
  75.    wt: 2:   6 Column Methods for Decimal Multiplication
  76.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  77.    wt: 2:   3 Geometric Formulas and Function Notation
  78.    wt: 2:   13 Naming Identifying Formulas with Words
  79.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  80.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  81.    wt: 2:   4 Subset Builder Notation
  82.    wt: 2:   3 Counting with Sets etc
  83.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  84.    wt: 2:   23 Remainder Arithmetic Modulo 2
  85.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  86.    wt: 2:   21 Remainder Arithmetic Modulo 3
  87.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  88.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  89.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  90.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  91.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  92.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  93.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  94.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  95.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  96.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  97.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  98.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  99.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  100.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  101.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  102.    wt: 2:   5 Remainder Arithmetic Modulo 5
  103.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  104.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  105.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  106.    wt: 2:   1 Remainder Arithmetic Modulo 10
  107.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  108.    wt: 2:   Video Power Notation in Decimal Expansion
  109.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  110.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  111.    wt: 2:   7 Adding decimal fractions using decimal point
  112.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  113.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  114.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  115.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  116.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  117.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  118.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  119.    wt: 2:   A Chain Rule Real Player video examples
  120.    wt: 2:   38 Formulas and derivatives for powers and roots
  121.    wt: 2:   33 Chain Rule Real Player video examples
  122.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  123.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  124.    wt: 2:   7 Evaluation by immediate or delayed substitution
  125.    wt: 2:   G.6 Bounded Derivatives implies Lipshitz Continuity
  126.    wt: 2:   Chapter 10 Describing and Changing Calculations
  127.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  128.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  129.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  130.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  131.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  132.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  133.    wt: 1:   Appendix 2 primary school Arithmetic 01
  134.    wt: 1:   K LAMP Musings Science Education
  135.    wt: 1:   J LAMP Introduction Extrinsic Origins
  136.    wt: 1:   I LAMP Introduction Study Habits
  137.    wt: 1:   H LAMP Introduction Instructional Concepts
  138.    wt: 1:   G LAMP Introduction Problem Solving Skills
  139.    wt: 1:   F LAMP Introduction Prerequisites
  140.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  141.    wt: 1:   Skills Chapter 2 Geometry
  142.    wt: 1:   Skills Chapter 1 Arithmetic
  143.    wt: 1:   9 combinatorics probability sets
  144.    wt: 1:   7 logic review and decimals an odd combination
  145.    wt: 1:   6 polynomials etc
  146.    wt: 1:   5 logarithms and exponentials etc
  147.    wt: 1:   2 arithmetic with signed numbers
  148.    wt: 1:   1 arithmetic with unsigned numbers
  149.    wt: 1:   Applied Maths Program14092009 POMME variant
  150.    wt: 1:   activities for students
  151.    wt: 1:   About site lesson plans
  152.    wt: 1:   modern education
  153.    wt: 1:   grouping students according to ability
  154.    wt: 1:   Postscript 2007 01 10
  155.    wt: 1:   Maps Plans Drawings
  156.    wt: 1:   how letters appear
  157.    wt: 1:   What to Tell Students
  158.    wt: 1:   geometric implications for algebra
  159.    wt: 1:   three aims for mathematics students
  160.    wt: 1:   How to be a better instructor
  161.    wt: 1:   chapitre 07 01 principle D induction mathematique
  162.    wt: 1:   chapitre 04 05 Implication versus suggestion
  163.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  164.    wt: 1:   chapitre 04 01 Premiere enigme
  165.    wt: 1:   logique deux enigme
  166.    wt: 1:   1 Energy Power Heat06
  167.    wt: 1:   F Wire Resistance Calculation04
  168.    wt: 1:   E Wire Resistance Calculation03
  169.    wt: 1:   D Wire Resistance Calculation02
  170.    wt: 1:   C Wire Resistance Calculation01
  171.    wt: 1:   E Kirchoffs Second Law
  172.    wt: 1:   D Kirchoff First Law
  173.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  174.    wt: 1:   24 Standards For Skill Develoment Take II
  175.    wt: 1:   24 Standards For Skill Develoment
  176.    wt: 1:   22 Student Centered Highschool Mathematics
  177.    wt: 1:   17 Math Booklets for children and young teenagers
  178.    wt: 1:   11 Help and Defend Your Child or Teens Education
  179.    wt: 1:   9 Streaming by Student Cooperation
  180.    wt: 1:   7 Student Motivation
  181.    wt: 1:   Ages 12 to 14 Geometry
  182.    wt: 1:   Ages 12 to 14 Arithmetic
  183.    wt: 1:   Ages 10 to 12 Geometry
  184.    wt: 1:   Ages 10 to 12 Arithmetic
  185.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  186.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  187.    wt: 1:   26 Function definitions done and coming
  188.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  189.    wt: 1:   19 Horizontal line rule and method
  190.    wt: 1:   18 Vertical Line Rule and Method
  191.    wt: 1:   16 Increasing or decreasing on intervals
  192.    wt: 1:   11 Function Domain Range Source and Targets
  193.    wt: 1:   6 Set Existence Formation and Notation
  194.    wt: 1:   5 Function notation for geometric transformations
  195.    wt: 1:   3 Formula or function graphing exercise
  196.    wt: 1:   1 Geometric Introduction of Function Notation
  197.    wt: 1:   Introduction Reading Guide
  198.    wt: 1:   8 quadratics backward use of various formulas
  199.    wt: 1:   5 quadratics completing the square
  200.    wt: 1:   11 Growth and Decay in Biology
  201.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  202.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  203.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  204.    wt: 1:   5 Natural Logarithm Calculator Exercises
  205.    wt: 1:   1 Calculator Starter Exercises
  206.    wt: 1:   2 Column Multiplication Method
  207.    wt: 1:   1 Polynomials Distributive Law
  208.    wt: 1:   16 cotangent function Definition Graph and Inverse
  209.    wt: 1:   15 cosecant function Definition Graph and Inverse
  210.    wt: 1:   14 secant function Definition Graph and Inverse
  211.    wt: 1:   13 cosecant function Definition Graph and Inverse
  212.    wt: 1:   10 arctan left inverse of tangent Definition
  213.    wt: 1:   7 arcsin left inverse of sine Definition
  214.    wt: 1:   3 Left Inverse of cosine arccos definition
  215.    wt: 1:   9 Summary Degrees to Radians and back
  216.    wt: 1:   6 Radian Measure to Degrees
  217.    wt: 1:   5 Degrees to Radian Measure
  218.    wt: 1:   2 Radian Measure Numerical Value of one degree
  219.    wt: 1:   1 Degrees and Radians Introduction
  220.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  221.    wt: 1:   11 Component Method
  222.    wt: 1:   10 Parallelogram Addition Method
  223.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  224.    wt: 1:   Vector and Complex Number Applet
  225.    wt: 1:   Triangle Angles Sum To 180 Degrees
  226.    wt: 1:   17 tangent function angle sum formulas
  227.    wt: 1:   31 basic secant cosecant cotangent trig identities
  228.    wt: 1:   26 Formulas for products of sines and cosines
  229.    wt: 1:   25 tangent double angle formula Slope connection
  230.    wt: 1:   24 tangent Angle Difference Formula
  231.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  232.    wt: 1:   21 sine and cosine Half Angle Formulas
  233.    wt: 1:   20 sine and cosine Double Angle Formulas
  234.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  235.    wt: 1:   17F Law of cosines
  236.    wt: 1:   17E Trig Formulas for dot and cross Products
  237.    wt: 1:   17D cis formulas for sine cosines and tangent
  238.    wt: 1:   17C sine and cosine double triple angle formulas
  239.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  240.    wt: 1:   16 Right Triangle Complementary Angle Relations
  241.    wt: 1:   15 sine cosine Complementary Angle Relations
  242.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  243.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  244.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  245.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  246.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  247.    wt: 1:   14 Law of cosines
  248.    wt: 1:   13 Trig Formulas for dot and cross Products
  249.    wt: 1:   12 cis formulas for sine cosines and tangent
  250.    wt: 1:   11 sine and cosine double triple angle formulas
  251.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  252.    wt: 1:   7 Second Way to Calculate Products
  253.    wt: 1:   5 An Easy Proof of the Distributive Law
  254.    wt: 1:   2 Complex Numbers made easier we hope
  255.    wt: 1:   8 Triangles Cascade Problem Solving
  256.    wt: 1:   7 Trignometric Ratios Unit Circle
  257.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  258.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  259.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  260.    wt: 1:   3 Trigonometric Ratios sine and cosine
  261.    wt: 1:   1 Angle Measurement with Degrees
  262.    wt: 1:   Why Trigonometry the whyslopes view
  263.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  264.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  265.    wt: 1:   12 Triangles Similarity More Problems
  266.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  267.    wt: 1:   9 Similarity of Triangles Usual Criteria
  268.    wt: 1:   8 Similarity of Triangles and Polygons
  269.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  270.    wt: 1:   1 Early Concept of Like or Similar Shapes
  271.    wt: 1:   8 Mid Point Formula
  272.    wt: 1:   3 Slope product for perpendicular lines
  273.    wt: 1:   13 Pythagorean spatial distance formulas
  274.    wt: 1:   8 Distance Between Points on a Line
  275.    wt: 1:   7 Complex Numbers Appetizer
  276.    wt: 1:   6 Polar Multiplication and Rotation
  277.    wt: 1:   5 Cartesian Addition and Translation
  278.    wt: 1:   4 Polar Coordinates to and from
  279.    wt: 1:   3 Rectangular Coordinates Review
  280.    wt: 1:   PS H Distributive Law For Complex Numbers
  281.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  282.    wt: 1:   PS E Multiplication with Polar Coordinates
  283.    wt: 1:   PS B Parallelogram Construction Methods
  284.    wt: 1:   PS A Kite Construction Methods
  285.    wt: 1:   19 Right Triangle Similarity
  286.    wt: 1:   18 Triangle Similarity Take 1
  287.    wt: 1:   17 Right Bisectors of Triangle Sides
  288.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  289.    wt: 1:   14 Parallel Lines Postulate
  290.    wt: 1:   13 Angle Side Angle Failure
  291.    wt: 1:   10 Dropping a perpendicular to line
  292.    wt: 1:   7 Angle Side Angle
  293.    wt: 1:   3 Isometry of Triangles Congruence
  294.    wt: 1:   4 Angles on Maps Plans drawn to scale
  295.    wt: 1:   3 Lengths and Areas on Maps and Plans
  296.    wt: 1:   About Folder Contents
  297.    wt: 1:   A Signed Number Arithmetic Review
  298.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  299.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  300.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  301.    wt: 1:   15 Head to Tails in place Addition Associative
  302.    wt: 1:   13 Arrows and Vectors in a Plane
  303.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  304.    wt: 1:   9 Division with Digits after Decimal Point
  305.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  306.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  307.    wt: 1:   4 Location of Point in Decimal Addition
  308.    wt: 1:   3 Location of Point in Decimal Multiplication
  309.    wt: 1:   2 Counting Digits in Decimal Multiplication
  310.    wt: 1:   1 Fractions with Finite Decimal Expansions
  311.    wt: 1:   E Long Division Methods more
  312.    wt: 1:   D Long Division Methods
  313.    wt: 1:   B Decimal Comparison and Subtraction
  314.    wt: 1:   8 Column Multiplication Methods in General
  315.    wt: 1:   5 Distributive Law for Whole Numbers
  316.    wt: 1:   4 Commutative Law Groups Counting Form
  317.    wt: 1:   4 Fraction Operations Axiomatic Development
  318.    wt: 1:   2 Fraction Operations Physical Development
  319.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  320.    wt: 1:   5 Triangle Area Formula Backwards
  321.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  322.    wt: 1:   1 Changing Calculations
  323.    wt: 1:   8 Coordinates for Maps and Planes
  324.    wt: 1:   4 Changing Letters
  325.    wt: 1:   4 Solving a triangular system exercise
  326.    wt: 1:   3 Solving triangular system example
  327.    wt: 1:   Skill Development Notes
  328.    wt: 1:   Using Letters for Physical Quantities
  329.    wt: 1:   Formula Usage Show Work Format
  330.    wt: 1:   8 Compound Interest Formula Evaluation
  331.    wt: 1:   7 Compound Interest Formula Introduction
  332.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  333.    wt: 1:   5 Box Volume Formula Example
  334.    wt: 1:   4 Circle Area Formula Example
  335.    wt: 1:   3 Triangle Area Formula Example
  336.    wt: 1:   2 Another Rectangle Area Formula Example
  337.    wt: 1:   1 Written work formats for developing and showing skill
  338.    wt: 1:   9 Sets in Probability and Statistics
  339.    wt: 1:   8 Sets of Numbers
  340.    wt: 1:   7 Cautious or Safe Set Construction
  341.    wt: 1:   6 Power Set Notation
  342.    wt: 1:   5 Product Builder Notation
  343.    wt: 1:   1 Finite Sets
  344.    wt: 1:   3 Adding Words To Arithmetic
  345.    wt: 1:   About Folder Contents
  346.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  347.    wt: 1:   8 GCD from Euclidean Algorithm
  348.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  349.    wt: 1:   2 Least Common Multiple LCM intro via list method
  350.    wt: 1:   12 GCD 2700 288 via Prime
  351.    wt: 1:   1 Counting and Counting Methods I
  352.    wt: 1:   3 signed coordinates for maps and planes
  353.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  354.    wt: 1:   14 Adding and Subtracting with Like Denominators
  355.    wt: 1:   D Remainders Modulo 11 Pair Rule
  356.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  357.    wt: 1:   A Associative Law Theorectical Note
  358.    wt: 1:   11 Adding Integers Formulas and Examples
  359.    wt: 1:   10 Integer Multiplication Formulas
  360.    wt: 1:   19 video Prime Factorization Unique
  361.    wt: 1:   18 video Count Factors given Prime Factorization
  362.    wt: 1:   17 Identify and Count Factors using Primes
  363.    wt: 1:   16 video Factors of 980 using prime
  364.    wt: 1:   15 video Factors of 20 using Prime Factorization
  365.    wt: 1:   14 video Factors of 24 Take II
  366.    wt: 1:   13 video Factors of 24 using prime
  367.    wt: 1:   10 video Prime Factorization upto 23 squared
  368.    wt: 1:   9 video Prime Factorization upto 19 squared
  369.    wt: 1:   8 video Prime Factorization upto 19
  370.    wt: 1:   7 Calculator Usage Notes and Cautions
  371.    wt: 1:   4 video Prime Factorization Introduction
  372.    wt: 1:   3 video Primes and Composites from 9 times table
  373.    wt: 1:   1 video how Products are bigger than factor
  374.    wt: 1:   5 Long Division Include Zeroes or not
  375.    wt: 1:   A Elementary Basis for Multiplication Methods
  376.    wt: 1:   6 Multiplication Commutes Order Not Important
  377.    wt: 1:   5 Decimal Fraction Multiplication
  378.    wt: 1:   Subtraction Another Video Lesson
  379.    wt: 1:   9 22 Minute Subtraction Review Video
  380.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  381.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  382.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  383.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  384.    wt: 1:   5. How to add decimals C. Examples
  385.    wt: 1:   4. How to add with decimals B with conversions
  386.    wt: 1:   3. How to add with decimals A sans conversions
  387.    wt: 1:   2 Decimal Counting Practices
  388.    wt: 1:   1. Explaining Addition Table
  389.    wt: 1:   11 Place Value SI Standard International way
  390.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  391.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  392.    wt: 1:   Exact Arithmetic Wholes and Fractions
  393.    wt: 1:   Formula Evaluation how to show work
  394.    wt: 1:   About folder contents
  395.    wt: 1:   016 Numbering Occidental Calendar Days
  396.    wt: 1:   5 Conversion Arithmetic
  397.    wt: 1:   Example 1. Area Between x and x squared
  398.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  399.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  400.    wt: 1:   Area Between Curves Lesson Take 2
  401.    wt: 1:   Area Between Curves Lesson Take 1
  402.    wt: 1:   A Related Material in Volume 3
  403.    wt: 1:   5 Area Under Curve Exercise
  404.    wt: 1:   4 Definite Integrals Evaluation Exercises
  405.    wt: 1:   3 Two Chain Rule Method Exercises
  406.    wt: 1:   2 Indefinite Integrals Exercises
  407.    wt: 1:   1 Chain Rule in Reverse Integration Method
  408.    wt: 1:   A Related lessons in Volume 3
  409.    wt: 1:   4 Second derivative test exercise example
  410.    wt: 1:   3 Second derivative test
  411.    wt: 1:   2 Second derivative test prequel
  412.    wt: 1:   36 Cube root derivative animated
  413.    wt: 1:   34 Derivative of exponential function
  414.    wt: 1:   31 Derivatives of inverse functions
  415.    wt: 1:   17 Derivatives of quotients of sine and cosine
  416.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  417.    wt: 1:   15 sine and cosine derivatives 3rd step
  418.    wt: 1:   14 sine and cosine derivatives 2nd step
  419.    wt: 1:   13 sine and cosine derivatives 1st step
  420.    wt: 1:   3 Motivation for Limit Definition Take 2
  421.    wt: 1:   2 Motivation for Limit Definition Take 1
  422.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  423.    wt: 1:   10 Three one sided limits with infinite values
  424.    wt: 1:   3 Decimal insights for limits continuity convergence
  425.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  426.    wt: 1:   G.5 Motions With Bounded Velocities
  427.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  428.    wt: 1:   PostScript For and Against Decimal Perspectives
  429.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  430.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  431.    wt: 1:   Chapter 23 Links To Trigonometry
  432.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  433.    wt: 1:   Chapter 8. Slope Interpretation
  434.    wt: 1:   Fall 1983 Calculus Appetizer
  435.    wt: 1:   Postscript More on Better Performance
  436.    wt: 1:   Postscript For Better Performance
  437.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  438.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  439.    wt: 1:   Chapter 21. Third Reading Guide
  440.    wt: 1:   Chapter 20. Degrees and Radians
  441.    wt: 1:   Chapter 19. Functions and Sets
  442.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  443.    wt: 1:   Chapter 13. Second Reading Guide
  444.    wt: 1:   Chapter 12. Shorthand Usage Guide
  445.    wt: 1:   Solutions For Arithmetic Exercises
  446.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  447.    wt: 1:   Chapter 6 Change of Language
  448.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  449.    wt: 1:   Chapter 8 Modern Instruction
  450.    wt: 1:   Chapter 7 Two Treatments of Geometry
  451.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  452.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  453.    wt: 1:   Chapter 11 Accidental Patterns
  454.    wt: 1:   Chapter 8 Change of Language
  455.    wt: 1:   Chapter 5 Deception
  456.    wt: 1:   Chapter 2 Skill Development
  457.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  458.    wt: 1:   M Words to extend arithmetic
  459.    wt: 1:   I. Logic and language skills
  460.    wt: 1:   G. Written work formats for developing and showing skill
  461.    wt: 1:   F. The student teacher tutor feedback loop
  462.    wt: 1:   How to Build Skills and Confidence
  463.    wt: 1:   Chapter 6 More Algebra and Geometry
  464.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  465.    wt: 1:   Chapter 2 Why Sets
  466.    wt: 1:   Chapter 1 Arithmetic
  467.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  468.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  469.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  470.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  471.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  472.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  473.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  474.    wt: 1:   Systematic Algebra Skill Development Missing Links
  475.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  476.    wt: 1:   Road Safety Questions

Extended Search

1133 matches:

  1.    wt: 9:   chapitre 07 01 principle D induction mathematique
  2.    wt: 9:   chapitre 04 05 Implication versus suggestion
  3.    wt: 9:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  4.    wt: 9:   chapitre 04 01 Premiere enigme
  5.    wt: 9:   1 Degrees and Radians Introduction
  6.    wt: 9:   2 Similar Triangles Equality of Corresponding Side Ratios
  7.    wt: 9:   Why Trigonometry the whyslopes view
  8.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  9.    wt: 9:   Euclidean Geometry Elsewhere LINKS
  10.    wt: 9:   PS C Similarity Use Recognize it in Trigonometry
  11.    wt: 9:   16 Angles Subtended By Chords and Diameters
  12.    wt: 9:   12 Side Angle Side Failure
  13.    wt: 9:   5 Side Angle Side
  14.    wt: 9:   2 Correspondence between Triangles
  15.    wt: 9:   A Decimals Modular and Remainder Arithmetic
  16.    wt: 9:   5 Long Division Include Zeroes or not
  17.    wt: 9:   A Elementary Basis for Multiplication Methods
  18.    wt: 9:   5 Decimal Fraction Multiplication
  19.    wt: 9:   Video Power Notation in Decimal Expansion
  20.    wt: 9:   9 22 Minute Subtraction Review Video
  21.    wt: 9:   7 Subtraction for Decimal Fractions with Exercises
  22.    wt: 9:   6 Subtraction with Conversion Example with Exercises
  23.    wt: 9:   4 Subtraction with Conversions Borrows and Letter J
  24.    wt: 9:   3 Harder Cases Convert to Compare and Subtract
  25.    wt: 9:   6. Counting and adding units and mixed units
  26.    wt: 9:   5. How to add decimals C. Examples
  27.    wt: 9:   4. How to add with decimals B with conversions
  28.    wt: 9:   3. How to add with decimals A sans conversions
  29.    wt: 9:   2 Decimal Counting Practices
  30.    wt: 9:   1. Explaining Addition Table
  31.    wt: 8:   9 Summary Degrees to Radians and back
  32.    wt: 8:   6 Radian Measure to Degrees
  33.    wt: 8:   5 Degrees to Radian Measure
  34.    wt: 8:   2 Radian Measure Numerical Value of one degree
  35.    wt: 8:   Construction Methods and Criteria for Isometric and Similar Triangles
  36.    wt: 8:   Unit Circle Development of Trigonometry
  37.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  38.    wt: 8:   Appetizer A Complex Number Applet
  39.    wt: 8:   8 Triangles Cascade Problem Solving
  40.    wt: 8:   7 Trignometric Ratios Unit Circle
  41.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  42.    wt: 8:   5 Trigonometric Ratios For Tangent and Special Triangles
  43.    wt: 8:   4 Trigonometric Ratios For Two Special Triangles
  44.    wt: 8:   3 Trigonometric Ratios sine and cosine
  45.    wt: 8:   1 Angle Measurement with Degrees
  46.    wt: 8:   11 Triangle Similarity Missing Side Problem
  47.    wt: 8:   6 Geometric Diagrams in Class
  48.    wt: 8:   10 Pythagorean plane distance formula
  49.    wt: 8:   6 Polar Multiplication and Rotation
  50.    wt: 8:   PS H Distributive Law For Complex Numbers
  51.    wt: 8:   PS F Scalar Multiplication Distributes over Addition
  52.    wt: 8:   PS E Multiplication with Polar Coordinates
  53.    wt: 8:   PS B Parallelogram Construction Methods
  54.    wt: 8:   PS A Kite Construction Methods
  55.    wt: 8:   19 Right Triangle Similarity
  56.    wt: 8:   18 Triangle Similarity Take 1
  57.    wt: 8:   17 Right Bisectors of Triangle Sides
  58.    wt: 8:   15 Triangle Angle Sum is 180 degrees
  59.    wt: 8:   14 Parallel Lines Postulate
  60.    wt: 8:   13 Angle Side Angle Failure
  61.    wt: 8:   10 Dropping a perpendicular to line
  62.    wt: 8:   7 Angle Side Angle
  63.    wt: 8:   6 Ruler and compass Angle Bisection
  64.    wt: 8:   3 Isometry of Triangles Congruence
  65.    wt: 8:   4 Angles on Maps Plans drawn to scale
  66.    wt: 8:   3 Lengths and Areas on Maps and Plans
  67.    wt: 8:   6 Remainder Arithmetic Modulo 5 Propertie
  68.    wt: 8:   12 Why Long Division Works Take III
  69.    wt: 8:   11 Another Single Digit Divisor Example
  70.    wt: 8:   10 Division by Five Long and Short Ways
  71.    wt: 8:   9 Why Long Division Works Take II
  72.    wt: 8:   8 Correcting the Mistake
  73.    wt: 8:   7 Long Divison Mistake Catching
  74.    wt: 8:   4 Division with 2 Digit Divsors
  75.    wt: 8:   3 Division Single Digit Divisor Example
  76.    wt: 8:   2 Division with Single Digit Divisors
  77.    wt: 8:   1 Divsion Physical Examples
  78.    wt: 8:   C Counting Areas with Powers of Ten
  79.    wt: 8:   B Powers of Ten
  80.    wt: 8:   4 Two and Three Digit Multipliers
  81.    wt: 8:   3 More One Digit Multipliers
  82.    wt: 8:   2 One Digit Multipliers
  83.    wt: 8:   1 Why 3 times 5 gives 15
  84.    wt: 8:   Subtraction Another Video Lesson
  85.    wt: 8:   8 Subtraction with Units of Measure
  86.    wt: 8:   5 A Tip for Efficent Subtraction
  87.    wt: 8:   2 Subtraction Easy Case Examples
  88.    wt: 8:   1 Comparison and Subtraction Easy Direct Cases
  89.    wt: 8:   Appendix 1 Counting Revisited 15 minute video
  90.    wt: 8:   8 What skills and work habits to require
  91.    wt: 8:   9 Place Value Review Decimal form of Avogrados number included
  92.    wt: 8:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  93.    wt: 7:   16 cotangent function Definition Graph and Inverse
  94.    wt: 7:   15 cosecant function Definition Graph and Inverse
  95.    wt: 7:   14 secant function Definition Graph and Inverse
  96.    wt: 7:   13 cosecant function Definition Graph and Inverse
  97.    wt: 7:   10 arctan left inverse of tangent Definition
  98.    wt: 7:   7 arcsin left inverse of sine Definition
  99.    wt: 7:   3 Left Inverse of cosine arccos definition
  100.    wt: 7:   8 Radian Measures of Common Angles
  101.    wt: 7:   7 Radian Measures in special Triangles
  102.    wt: 7:   4 Circle Sector Area proportional to Central Angle
  103.    wt: 7:   3 Circle Arclengh Proportional to Central Angle
  104.    wt: 7:   Vector and Complex Number Applet
  105.    wt: 7:   SAS Method For Isometric Or Proportional Triangle Construction
  106.    wt: 7:   30 unit circle calculation of six trigonometric functions
  107.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  108.    wt: 7:   11 tangent function undefined when terminal side vertical
  109.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  110.    wt: 7:   8 Unit Circle Development of Trigonometry
  111.    wt: 7:   1 Rectangular Polar Coordinates Review
  112.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  113.    wt: 7:   12 Triangles Similarity More Problems
  114.    wt: 7:   9 Similarity of Triangles Usual Criteria
  115.    wt: 7:   7 Translations Rotations Reflections Dilatations
  116.    wt: 7:   4 Similarity Definition with Coordinate
  117.    wt: 7:   3 Similarity by Design with coordinates
  118.    wt: 7:   2 Similarity By Design
  119.    wt: 7:   13 Pythagorean spatial distance formulas
  120.    wt: 7:   8 Distance Between Points on a Line
  121.    wt: 7:   7 Complex Numbers Appetizer
  122.    wt: 7:   5 Cartesian Addition and Translation
  123.    wt: 7:   4 Polar Coordinates to and from
  124.    wt: 7:   3 Rectangular Coordinates Review
  125.    wt: 7:   PS G Rotation Distributes over Addition
  126.    wt: 7:   PS D Addition with Cartesian Coordinates
  127.    wt: 7:   21 Parallelograms
  128.    wt: 7:   11 Triangle Construction Fails
  129.    wt: 7:   9 Construction of a right bisector
  130.    wt: 7:   8 Isoceles Triangles
  131.    wt: 7:   1 Initial Concepts and Terms
  132.    wt: 7:   A Measurement with Ruler Proper Use
  133.    wt: 7:   8 More Use of Maps Not Drawn to Scale
  134.    wt: 7:   6 Figuring with Maps Not to Scale
  135.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  136.    wt: 7:   2 Measuring Area Directly
  137.    wt: 7:   1 Length Measurement
  138.    wt: 7:   23 Remainder Arithmetic Modulo 2
  139.    wt: 7:   22 Remainder Arithmetic Modulo 3 more
  140.    wt: 7:   21 Remainder Arithmetic Modulo 3
  141.    wt: 7:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  142.    wt: 7:   19 Remainder Arithmetic Rule of 9 for checking sums III
  143.    wt: 7:   18 Remainder Arithmetic Rule of 9 for checking sums II
  144.    wt: 7:   17 Remainder Arithmetic Rule of 9 for checking sums I
  145.    wt: 7:   16 Remainder Arithmetic Modulo 9 Example 2
  146.    wt: 7:   15 Remainder Arithmetic Modulo 9 Example
  147.    wt: 7:   14 Remainder Arithmetic Modulo 9 Example
  148.    wt: 7:   13 Remainder Arithmetic Modulo 5 Example
  149.    wt: 7:   12 Remainder Arithmetic Modulo 10 Example
  150.    wt: 7:   11 Remainder Arithmetic Long Division by 5 Quickly more
  151.    wt: 7:   10 Remainder Arithmetic Long Division by 5 Quickly
  152.    wt: 7:   9 Remainder Arithmetic Divisibility by 5
  153.    wt: 7:   8 Remainder Arithmetic Morulo 5 Examples II
  154.    wt: 7:   7 Remainder Arithmetic Modulo 5 Examples I
  155.    wt: 7:   5 Remainder Arithmetic Modulo 5
  156.    wt: 7:   4 Remainder Arithmetic Modulo 10 in general
  157.    wt: 7:   3 Remainder Arithmetic Modulos 10 more still
  158.    wt: 7:   2 Remainder Arithmetic Modulo 10 more
  159.    wt: 7:   1 Remainder Arithmetic Modulo 10
  160.    wt: 7:   Long Division Backwards more
  161.    wt: 7:   Long Division Backward
  162.    wt: 7:   Division with Counts and Length
  163.    wt: 7:   Long Division forwards and backwards Example 3
  164.    wt: 7:   Long Division forwards and backwards Example 2
  165.    wt: 7:   Long Division forwards and backwards Example 1
  166.    wt: 7:   Subtraction with J Conversions Example
  167.    wt: 7:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  168.    wt: 7:   5 More on Groups of 3 Place Value in Decimal Fractions
  169.    wt: 7:   4 Groups of 3 Place Value in Decimal Fractions
  170.    wt: 7:   2 Groups of Three Place Value for Multidigit Decimals
  171.    wt: 6:   12 motivation for term arctan
  172.    wt: 6:   11 arctan left inverse of tangent Graph
  173.    wt: 6:   9 motivation for name arcsin
  174.    wt: 6:   8 arcsin left inverse of sine Graph
  175.    wt: 6:   6 Graph of arccos function
  176.    wt: 6:   5 Swapping Coordinates is a reflection
  177.    wt: 6:   4 possible motivation for term arccos
  178.    wt: 6:   2 cosine function more properties
  179.    wt: 6:   1 cosine function properties
  180.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  181.    wt: 6:   11 Component Method
  182.    wt: 6:   10 Parallelogram Addition Method
  183.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  184.    wt: 6:   4 graphing y=Asin(x c)
  185.    wt: 6:   3 graphing y=f(x c) plus K
  186.    wt: 6:   2 Graphing y=Af(x) Vertical Scaling
  187.    wt: 6:   1 graphing y=f(x a)
  188.    wt: 6:   Triangle Angles Sum To 180 Degrees
  189.    wt: 6:   17 tangent function angle sum formulas
  190.    wt: 6:   31 basic secant cosecant cotangent trig identities
  191.    wt: 6:   26 Formulas for products of sines and cosines
  192.    wt: 6:   25 tangent double angle formula Slope connection
  193.    wt: 6:   24 tangent Angle Difference Formula
  194.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  195.    wt: 6:   21 sine and cosine Half Angle Formulas
  196.    wt: 6:   20 sine and cosine Double Angle Formulas
  197.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  198.    wt: 6:   17F Law of cosines
  199.    wt: 6:   17E Trig Formulas for dot and cross Products
  200.    wt: 6:   17D cis formulas for sine cosines and tangent
  201.    wt: 6:   17C sine and cosine double triple angle formulas
  202.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  203.    wt: 6:   16 Right Triangle Complementary Angle Relations
  204.    wt: 6:   15 sine cosine Complementary Angle Relations
  205.    wt: 6:   9 Graphs of sine and cosine over one period
  206.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  207.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  208.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  209.    wt: 6:   2 Quadrant I reference Angles
  210.    wt: 6:   1 Unit Points Reflections Rotations
  211.    wt: 6:   14 Law of cosines
  212.    wt: 6:   13 Trig Formulas for dot and cross Products
  213.    wt: 6:   12 cis formulas for sine cosines and tangent
  214.    wt: 6:   11 sine and cosine double triple angle formulas
  215.    wt: 6:   10 sine cosine Angle Sum Formulas via cis
  216.    wt: 6:   7 Second Way to Calculate Products
  217.    wt: 6:   6 Field Properties of Complex Number
  218.    wt: 6:   5 An Easy Proof of the Distributive Law
  219.    wt: 6:   2 Complex Numbers made easier we hope
  220.    wt: 6:   10 Similarity of Triangles Equivalent of Two Criteria
  221.    wt: 6:   8 Similarity of Triangles and Polygons
  222.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  223.    wt: 6:   1 Early Concept of Like or Similar Shapes
  224.    wt: 6:   8 Mid Point Formula
  225.    wt: 6:   6 Intersection of lines by solving linear systems
  226.    wt: 6:   3 Slope product for perpendicular lines
  227.    wt: 6:   What is and is not here
  228.    wt: 6:   12 Spatial Coordinates
  229.    wt: 6:   11 Triangle Inequality
  230.    wt: 6:   9 Pythagorean Theorem Chinese Square Proof
  231.    wt: 6:   2 Cartesian Coordinates with signs
  232.    wt: 6:   1 Cartesian Coordinates sans signs
  233.    wt: 6:   About Folder Contents
  234.    wt: 6:   A Modular and Remainder Arithmetic
  235.    wt: 6:   6 Column Methods for Decimal Multiplication
  236.    wt: 6:   1 Decimals Modular and Remainder Arithmetic
  237.    wt: 6:   5 Independent versus Dependent Variables
  238.    wt: 6:   4 Subset Builder Notation
  239.    wt: 6:   3 Counting with Sets etc
  240.    wt: 6:   A Similarities between Fractions and Two Term Ratios
  241.    wt: 6:   3 More on Groups of 3 Multi Digit Place Value
  242.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  243.    wt: 6:   5 Conversion Arithmetic
  244.    wt: 6:   Volume of Solid by Cross Sections Lesson
  245.    wt: 6:   Area Between Crossing Curves Lesson Take 1
  246.    wt: 6:   Area Between Curves Lesson Take 2
  247.    wt: 6:   Summary
  248.    wt: 6:   1 Two cubic sketching exercises with 1st derivative
  249.    wt: 6:   A Chain Rule Real Player video examples
  250.    wt: 6:   38 Formulas and derivatives for powers and roots
  251.    wt: 6:   36 Cube root derivative animated
  252.    wt: 6:   33 Chain Rule Real Player video examples
  253.    wt: 6:   15 sine and cosine derivatives 3rd step
  254.    wt: 6:   3 Motivation for Limit Definition Take 2
  255.    wt: 6:   2 Motivation for Limit Definition Take 1
  256.    wt: 6:   1 Fall 1983 Why Slopes Appetizer
  257.    wt: 5:   E LAMP Introduction Modern Mathematics
  258.    wt: 5:   B LAMP Introduction Curriculum Development Standards
  259.    wt: 5:   23 Modularized Skill Development Modularized Rigor Take IV
  260.    wt: 5:   23 Modularized Skill Development Modularized Rigor Take III
  261.    wt: 5:   23 Modularized Skill Development Modularized Rigor Take II
  262.    wt: 5:   23 Modularized Skill Development Modularized Rigor
  263.    wt: 5:   A Global Time and Navigation
  264.    wt: 5:   15 Dot and Cross Product
  265.    wt: 5:   13 Velocity Vectors in Physics
  266.    wt: 5:   12 From Applied To Pure Mathematics
  267.    wt: 5:   9 Head to Tail Coordinate View
  268.    wt: 5:   8 Parallel Vectors
  269.    wt: 5:   6 Vectors with Coordinates
  270.    wt: 5:   5 Head To Tail Arrow Addition
  271.    wt: 5:   4 Resultant of a Sum of Movements
  272.    wt: 5:   3 Navigation with Arrows or Vectors
  273.    wt: 5:   2 Signed Coordinates
  274.    wt: 5:   1 Unsigned Coordinates
  275.    wt: 5:   Parallel Lines and Parallel Transversals
  276.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  277.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  278.    wt: 5:   Parallel Lines and Interior Angles
  279.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  280.    wt: 5:   Straight Lines ASA Intersection Study More
  281.    wt: 5:   Straight Lines ASA Intersection Study
  282.    wt: 5:   Straight Lines Instersection Solving Equations
  283.    wt: 5:   Straight Lines Intersection of
  284.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  285.    wt: 5:   C Straight Lines Slope from Coordinates
  286.    wt: 5:   B Straight Line Slope Scaling Properties More
  287.    wt: 5:   A Straight Line Slope Scaling Properties
  288.    wt: 5:   14 Straight Lines Equations General Case
  289.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  290.    wt: 5:   12 Straight Lines Graphing mx plus b
  291.    wt: 5:   11 Straight Lines Graphing y=mx
  292.    wt: 5:   10 Straight Lines through Origin Equations More
  293.    wt: 5:   9 Straight Lines through Origin Equations
  294.    wt: 5:   8 Straight Lines Equation for vertical
  295.    wt: 5:   7 Tangent Function is odd on this domain
  296.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  297.    wt: 5:   5 Tangent Function Graph
  298.    wt: 5:   4 Tangent Function Properties
  299.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  300.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  301.    wt: 5:   1 Straight Lines Slope Concept
  302.    wt: 5:   35 sines and cosines of 2A 3A 4A 5A
  303.    wt: 5:   34 sines and cosines of 2A 3A 4A 5A
  304.    wt: 5:   33 sines and cosines of 2A 3A 4A 5A
  305.    wt: 5:   32 seven rows of pascals triangle
  306.    wt: 5:   29 secant cosecant and cotangent for acute angles
  307.    wt: 5:   28 Expressing products of sines cosines as sums
  308.    wt: 5:   27 Logarithmic use of products of sines and cosines
  309.    wt: 5:   18 sum of sinusoidal waves as a single wave
  310.    wt: 5:   17G Pythagorean Theorem Converse
  311.    wt: 5:   17A The complex number valued trig function cis
  312.    wt: 5:   14 cosine even and sine and tangent are odd
  313.    wt: 5:   13 Graph of tangent function many periods
  314.    wt: 5:   12 Graph of tangent function for one period
  315.    wt: 5:   10 Graphs of sines and cosines many periods
  316.    wt: 5:   8 period of tangent function
  317.    wt: 5:   7 period of sine and cosine
  318.    wt: 5:   21 Logarithms Powers and Exponentials
  319.    wt: 5:   20 N th Roots of Complex Numbers
  320.    wt: 5:   19 N th Roots of Unity
  321.    wt: 5:   18 Sixth Roots of Unity
  322.    wt: 5:   17 Cube Roots of unity
  323.    wt: 5:   16 References and Originality Question
  324.    wt: 5:   15 Pythagorean Theorem Converse
  325.    wt: 5:   9 The complex number valued trig function cis
  326.    wt: 5:   4 Multiplication Properties
  327.    wt: 5:   3 Addition Properties
  328.    wt: 5:   Four Simple Exercises
  329.    wt: 5:   12 Links Lessons elsewhere
  330.    wt: 5:   11 A Partial Summary
  331.    wt: 5:   10 Midpoint of [a b] and [b a]
  332.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  333.    wt: 5:   7 Exercises to test skill and concept mastery
  334.    wt: 5:   5 Algebraic View of Slopes
  335.    wt: 5:   4 Equations for lines three forms
  336.    wt: 5:   2 point slope equation for a line
  337.    wt: 5:   1 Numerical view of lines and their equations
  338.    wt: 5:   23 Distributive Law Two Derivations
  339.    wt: 5:   7 Arithmetic with Infinite Decimal Expansions
  340.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  341.    wt: 5:   C Three Decimal Subtraction Methods
  342.    wt: 5:   A Decimal Addition Columm Methods
  343.    wt: 5:   7 Decimals Multiplication Methods Examples
  344.    wt: 5:   9 Circle Area and Perimeter Formula Backwards Forwards
  345.    wt: 5:   1 Formulas Dependence and Function Notation
  346.    wt: 5:   13 Naming Identifying Formulas with Words
  347.    wt: 5:   12 Cone Cylinder Sphere Lesson Idea
  348.    wt: 5:   8 Compound Interest Formula Evaluation
  349.    wt: 5:   7 Compound Interest Formula Introduction
  350.    wt: 5:   6 Pythagorean Hypotenuse Calculation Example
  351.    wt: 5:   5 Box Volume Formula Example
  352.    wt: 5:   4 Circle Area Formula Example
  353.    wt: 5:   3 Triangle Area Formula Example
  354.    wt: 5:   2 Another Rectangle Area Formula Example
  355.    wt: 5:   1 Written work formats for developing and showing skill
  356.    wt: 5:   10 Set View of Wordy Extensions To Arithmetic
  357.    wt: 5:   9 Sets in Probability and Statistics
  358.    wt: 5:   8 Sets of Numbers
  359.    wt: 5:   7 Cautious or Safe Set Construction
  360.    wt: 5:   6 Power Set Notation
  361.    wt: 5:   5 Product Builder Notation
  362.    wt: 5:   1 Finite Sets
  363.    wt: 5:   6 adding signed numbers
  364.    wt: 5:   3 signed coordinates for maps and planes
  365.    wt: 5:   11 Place Value SI Standard International way
  366.    wt: 5:   10 Names for Big Numbers and Powers of Ten Expansion
  367.    wt: 5:   8 Review Lesson 1 2 4 and 6 All in One
  368.    wt: 5:   016 Numbering Occidental Calendar Days
  369.    wt: 5:   9 Comparison and Subtraction of Time Intervals
  370.    wt: 5:   8 Addition of Time Intervals via subtotaling
  371.    wt: 5:   7 Addition of Time Intervals
  372.    wt: 5:   6 How long is a million seconds
  373.    wt: 5:   4 Mixing and Changing Units of Time
  374.    wt: 5:   3 Units and Lengths of Time
  375.    wt: 5:   2 Time and Date Matters in School
  376.    wt: 5:   1 Intro of Kids To Time Date Skills
  377.    wt: 5:   Example 2 volume of a cone
  378.    wt: 5:   Example 1 volume of a pyramid
  379.    wt: 5:   Example 1. Area Between x and x squared
  380.    wt: 5:   Area Between Crossing Curves Lesson Take 2
  381.    wt: 5:   Example 1
  382.    wt: 5:   Area Between Curves Lesson Take 1
  383.    wt: 5:   4 Definite Integrals Evaluation Exercises
  384.    wt: 5:   4 Second derivative test exercise example
  385.    wt: 5:   3 Second derivative test
  386.    wt: 5:   2 Second derivative test prequel
  387.    wt: 5:   34 Derivative of exponential function
  388.    wt: 5:   31 Derivatives of inverse functions
  389.    wt: 5:   28 Chain Rule Preparation for a Proof
  390.    wt: 5:   18 Chain Rule Introduction
  391.    wt: 5:   17 Derivatives of quotients of sine and cosine
  392.    wt: 5:   16 Derivatives of reciprocals of sine and cosine
  393.    wt: 5:   14 sine and cosine derivatives 2nd step
  394.    wt: 5:   13 sine and cosine derivatives 1st step
  395.    wt: 5:   12 Quotient rule examples
  396.    wt: 5:   6 Power rule from product rule
  397.    wt: 5:   7 Evaluation by immediate or delayed substitution
  398.    wt: 4:   Appendix 2 primary school Arithmetic 01
  399.    wt: 4:   K LAMP Musings Science Education
  400.    wt: 4:   J LAMP Introduction Extrinsic Origins
  401.    wt: 4:   I LAMP Introduction Study Habits
  402.    wt: 4:   H LAMP Introduction Instructional Concepts
  403.    wt: 4:   G LAMP Introduction Problem Solving Skills
  404.    wt: 4:   F LAMP Introduction Prerequisites
  405.    wt: 4:   C LAMP Introduction Culture in Mathematics Education
  406.    wt: 4:   8 analytic geometry etc
  407.    wt: 4:   6 polynomials etc
  408.    wt: 4:   3 Euclidean Geometry Leanly
  409.    wt: 4:   problemes algebre et arithmetique
  410.    wt: 4:   deux definitions pour variable
  411.    wt: 4:   9 Set theory term relation possible origins
  412.    wt: 4:   8 Set view of relations and functions
  413.    wt: 4:   6 Set Existence Formation and Notation
  414.    wt: 4:   Introduction Reading Guide
  415.    wt: 4:   7 quadratic formulla derivation
  416.    wt: 4:   Quadratics in 10 steps
  417.    wt: 4:   10 Exponential Growth and Decay Models
  418.    wt: 4:   7 Formulas for Roots with Logarithms Derivation
  419.    wt: 4:   6 Formulas for Even and Odd Roots with Logarithms
  420.    wt: 4:   A Signed Number Arithmetic Review
  421.    wt: 4:   24 Signed Numbers Arithmmetic Properties
  422.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  423.    wt: 4:   18 Geometrically Why Vector Addition Commutes
  424.    wt: 4:   15 Head to Tails in place Addition Associative
  425.    wt: 4:   13 Arrows and Vectors in a Plane
  426.    wt: 4:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  427.    wt: 4:   9 Division with Digits after Decimal Point
  428.    wt: 4:   5 Fractions with Infinite Decimal Expansions
  429.    wt: 4:   4 Location of Point in Decimal Addition
  430.    wt: 4:   3 Location of Point in Decimal Multiplication
  431.    wt: 4:   2 Counting Digits in Decimal Multiplication
  432.    wt: 4:   1 Fractions with Finite Decimal Expansions
  433.    wt: 4:   E Long Division Methods more
  434.    wt: 4:   D Long Division Methods
  435.    wt: 4:   B Decimal Comparison and Subtraction
  436.    wt: 4:   8 Column Multiplication Methods in General
  437.    wt: 4:   5 Distributive Law for Whole Numbers
  438.    wt: 4:   4 Commutative Law Groups Counting Form
  439.    wt: 4:   8 Pythagorean Relation Forwards Backwards
  440.    wt: 4:   5 Triangle Area Formula Backwards
  441.    wt: 4:   4 Rectangle Area and Like Formulas Backwards
  442.    wt: 4:   1 Changing Calculations
  443.    wt: 4:   5 Greater More Less Than Signs in General
  444.    wt: 4:   4 Comparison of Negative Numbers
  445.    wt: 4:   3 More and Less Than with Unlike Signs
  446.    wt: 4:   2 More and Less Than for Counts and Measures
  447.    wt: 4:   1 Real Numbers Comparison
  448.    wt: 4:   3 Geometric Formulas and Function Notation
  449.    wt: 4:   4 Solving a triangular system exercise
  450.    wt: 4:   3 Solving triangular system example
  451.    wt: 4:   6 Algebraic Solution Example
  452.    wt: 4:   Skill Development Notes
  453.    wt: 4:   6 Three Examples
  454.    wt: 4:   Formula Usage Show Work Format
  455.    wt: 4:   9 Volume of Cone
  456.    wt: 4:   2 Venn Diagrams
  457.    wt: 4:   arithmetic videos Real Player Format
  458.    wt: 4:   1 Counting and Counting Methods I
  459.    wt: 4:   10 dividing signed numbers
  460.    wt: 4:   9 subtracting signed numbers
  461.    wt: 4:   8 multiplying signed numbers
  462.    wt: 4:   7 negative and additive inverse
  463.    wt: 4:   5 lengths and signs of numbers
  464.    wt: 4:   4 signed coordinates for regions in space
  465.    wt: 4:   2 signed and unsigned numbers as coordinates
  466.    wt: 4:   D Three Term Ratios
  467.    wt: 4:   C Equality for Fractions and Two Term Ratios and Fractions
  468.    wt: 4:   B Fractions and Two Term Ratios
  469.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  470.    wt: 4:   14 Adding and Subtracting with Like Denominators
  471.    wt: 4:   9 Improper Fractions and Mixed Numbers
  472.    wt: 4:   8 Numerals Fractionals Quantals Take II
  473.    wt: 4:   7 Numerals Fractionals Quantals
  474.    wt: 4:   6 Multiplication of Mixed Numbers
  475.    wt: 4:   6 Multiplication Algebraically Take II
  476.    wt: 4:   D Remainders Modulo 11 Pair Rule
  477.    wt: 4:   C Divisibility by 11 Integer Recognition Method
  478.    wt: 4:   A Associative Law Theorectical Note
  479.    wt: 4:   11 Adding Integers Formulas and Examples
  480.    wt: 4:   10 Integer Multiplication Formulas
  481.    wt: 4:   6 Multiplication by Natural Numbers
  482.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  483.    wt: 4:   26 Divisibility by 2 3 5 Example
  484.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  485.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  486.    wt: 4:   19 video Prime Factorization Unique
  487.    wt: 4:   18 video Count Factors given Prime Factorization
  488.    wt: 4:   17 Identify and Count Factors using Primes
  489.    wt: 4:   16 video Factors of 980 using prime
  490.    wt: 4:   15 video Factors of 20 using Prime Factorization
  491.    wt: 4:   14 video Factors of 24 Take II
  492.    wt: 4:   13 video Factors of 24 using prime
  493.    wt: 4:   10 video Prime Factorization upto 23 squared
  494.    wt: 4:   9 video Prime Factorization upto 19 squared
  495.    wt: 4:   8 video Prime Factorization upto 19
  496.    wt: 4:   7 Calculator Usage Notes and Cautions
  497.    wt: 4:   6 Sieve of Eratosthenes and Square Rule
  498.    wt: 4:   4 video Prime Factorization Introduction
  499.    wt: 4:   3 video Primes and Composites from 9 times table
  500.    wt: 4:   1 video how Products are bigger than factor
  501.    wt: 4:   Practical Methods Ends and Values for Arithmetic
  502.    wt: 4:   About folder contents
  503.    wt: 4:   015 School and work day counting tables
  504.    wt: 4:   014 Counting Days with Calendars
  505.    wt: 4:   013 Travel Time Tables
  506.    wt: 4:   012 Division of Time Intervals by Time Intervals
  507.    wt: 4:   011 Division of Time Intervals By Numbers
  508.    wt: 4:   010 Repeated Addition of Time Intervals
  509.    wt: 4:   Example 4 with x function of y
  510.    wt: 4:   Example 3
  511.    wt: 4:   Example 2
  512.    wt: 4:   A Related Material in Volume 3
  513.    wt: 4:   5 Area Under Curve Exercise
  514.    wt: 4:   3 Two Chain Rule Method Exercises
  515.    wt: 4:   2 Indefinite Integrals Exercises
  516.    wt: 4:   1 Chain Rule in Reverse Integration Method
  517.    wt: 4:   A Related lessons in Volume 3
  518.    wt: 4:   30Chain Rule A Proof
  519.    wt: 4:   29 Chain Rule Optional Reading
  520.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  521.    wt: 4:   26 Chain Rule Recognising outer inner functions
  522.    wt: 4:   25 Chain Rule Animated Examples Continued
  523.    wt: 4:   24 Chain Rule Animated Examples
  524.    wt: 4:   23 Chain Rule in general
  525.    wt: 4:   22 Chain Rule for polynomials
  526.    wt: 4:   21 Chain Rule for powers
  527.    wt: 4:   20 Chain Rule for Pulley Systems
  528.    wt: 4:   19 Chain Rule for linear functions
  529.    wt: 4:   11 Quotient rule
  530.    wt: 4:   10 Power rule for negative integers
  531.    wt: 4:   9 Reciprocal rule
  532.    wt: 4:   8 Differentiation of polynomials
  533.    wt: 4:   7 Animated Differentiation Examples
  534.    wt: 4:   5 Product Rule
  535.    wt: 4:   4 Sum Rule
  536.    wt: 4:   13 Limits with Parameters and Derivatives Take II
  537.    wt: 4:   12 Limits with Parameters and Derivatives Take I
  538.    wt: 4:   6 Continuity at a point
  539.    wt: 4:   3 Decimal insights for limits continuity convergence
  540.    wt: 4:   Postscript Pythagorean Theorem yet another proof
  541.    wt: 4:   Fall 1983 Calculus Appetizer
  542.    wt: 4:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  543.    wt: 4:   F. The student teacher tutor feedback loop
  544.    wt: 4:   How to Build Skills and Confidence
  545.    wt: 4:   Chapter 6 More Algebra and Geometry
  546.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  547.    wt: 4:   6 Measuring via counting or arithmetic the role of fractions
  548.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  549.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  550.    wt: 4:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  551.    wt: 3:   Appendix 1 primary and preschool mathematic
  552.    wt: 3:   A Introduction Objectives
  553.    wt: 3:   Skills Chapter 2 Geometry
  554.    wt: 3:   Skills Chapter 1 Arithmetic
  555.    wt: 3:   Skills Chapter 0 Introduction
  556.    wt: 3:   9 combinatorics probability sets
  557.    wt: 3:   7 logic review and decimals an odd combination
  558.    wt: 3:   5 logarithms and exponentials etc
  559.    wt: 3:   2 arithmetic with signed numbers
  560.    wt: 3:   1 arithmetic with unsigned numbers
  561.    wt: 3:   What is POMME
  562.    wt: 3:   three goals to set for students
  563.    wt: 3:   five decades make a difference
  564.    wt: 3:   How to be a better instructor
  565.    wt: 3:   logique deux enigme
  566.    wt: 3:   E Kirchoffs Second Law
  567.    wt: 3:   D Kirchoff First Law
  568.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  569.    wt: 3:   24 Standards For Skill Develoment Take II
  570.    wt: 3:   24 Standards For Skill Develoment
  571.    wt: 3:   22 Student Centered Highschool Mathematics
  572.    wt: 3:   17 Math Booklets for children and young teenagers
  573.    wt: 3:   11 Help and Defend Your Child or Teens Education
  574.    wt: 3:   9 Streaming by Student Cooperation
  575.    wt: 3:   7 Student Motivation
  576.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  577.    wt: 3:   Ages 12 to 14 Geometry
  578.    wt: 3:   Ages 12 to 14 Arithmetic
  579.    wt: 3:   Ages 10 to 12 Geometry
  580.    wt: 3:   Ages 10 to 12 Arithmetic
  581.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  582.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  583.    wt: 3:   5 Function notation for geometric transformations
  584.    wt: 3:   3 Formula or function graphing exercise
  585.    wt: 3:   1 Geometric Introduction of Function Notation
  586.    wt: 3:   A Quadratics Summary
  587.    wt: 3:   8 quadratics backward use of various formulas
  588.    wt: 3:   6 quadratics numerical approach
  589.    wt: 3:   5 quadratics completing the square
  590.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  591.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  592.    wt: 3:   5 Natural Logarithm Calculator Exercises
  593.    wt: 3:   1 Calculator Starter Exercises
  594.    wt: 3:   26 More Less Greater Than Comparison
  595.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  596.    wt: 3:   22 Multiplication of Signed Numbers
  597.    wt: 3:   21 Addition of Multiples of a Single Vector
  598.    wt: 3:   19 Signed Multiples of Vectors
  599.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  600.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  601.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  602.    wt: 3:   12 Real Numbers Line Signed Coordinates
  603.    wt: 3:   11 Signed Number Addition and Addition Properties
  604.    wt: 3:   8 Division and Mulplication of Compound Fractions
  605.    wt: 3:   3 Multiplicative Counting Skills Principles
  606.    wt: 3:   2 Combing Counts Addition Skills and Principles
  607.    wt: 3:   1 The Counting Origins of Numbers
  608.    wt: 3:   4 Fraction Operations Axiomatic Development
  609.    wt: 3:   2 Fraction Operations Physical Development
  610.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  611.    wt: 3:   6 Compound Interest Forward and Backwards
  612.    wt: 3:   3 Linear Equation Literal Solution More
  613.    wt: 3:   2 Linear Equation Literal Solution
  614.    wt: 3:   6 Equations and Systems Equivalent or Implied
  615.    wt: 3:   5 Equality in Algebra
  616.    wt: 3:   4 Subtraction and Division Axioms
  617.    wt: 3:   3 Product Axioms Two Forms
  618.    wt: 3:   2 Addition and Multiplication Axioms
  619.    wt: 3:   1 Equivalent Computation Rules
  620.    wt: 3:   8 Coordinates for Maps and Planes
  621.    wt: 3:   6 Unsigned Real Numbers
  622.    wt: 3:   5 Rational Numbers More
  623.    wt: 3:   4 Rational Numbers
  624.    wt: 3:   3 Fractions
  625.    wt: 3:   2 Integers
  626.    wt: 3:   1 Whole and Natural Numbers
  627.    wt: 3:   4 Changing Letters
  628.    wt: 3:   5 Gaussian Elimination for 3 unknowns 2nd example
  629.    wt: 3:   4 GE III Animated Examples
  630.    wt: 3:   3 Gaussian Elimination 3 unknowns first example
  631.    wt: 3:   3 GE III Equation Addition and Multiplication
  632.    wt: 3:   2 GE II Comparison
  633.    wt: 3:   1 GE Substitution four examples
  634.    wt: 3:   2 Essentially one exercises three with solution
  635.    wt: 3:   1 Essentially One Unknown
  636.    wt: 3:   5 Algebraic Solutions Introduction
  637.    wt: 3:   4 Four Examples Fractional Coefficients
  638.    wt: 3:   3 Four Examples
  639.    wt: 3:   2 Three Examples
  640.    wt: 3:   1 Proper Equal Sign Usage
  641.    wt: 3:   10 One Example
  642.    wt: 3:   9 Three Examples
  643.    wt: 3:   8 One Example
  644.    wt: 3:   7 Two Examples
  645.    wt: 3:   5 Three Examples
  646.    wt: 3:   4 Two Examples
  647.    wt: 3:   3 Two Examples
  648.    wt: 3:   2 Three Examples
  649.    wt: 3:   Using Letters for Physical Quantities
  650.    wt: 3:   11 Volume of Sphere
  651.    wt: 3:   10 Volume of Pyramid
  652.    wt: 3:   About Folder Contents
  653.    wt: 3:   4 Greater More Less Than Signs in General
  654.    wt: 3:   3 Comparison of Negative Numbers
  655.    wt: 3:   2 More and Less Than with Unlike Signs
  656.    wt: 3:   1 More and Less Than for Counts and Measures
  657.    wt: 3:   2 Least Common Multiple LCM intro via list method
  658.    wt: 3:   12 GCD 2700 288 via Prime
  659.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  660.    wt: 3:   4 Counting with Trees Product Rule Take I
  661.    wt: 3:   3 Counting with Tables and Trees II
  662.    wt: 3:   2 Counting with Tables and Trees I
  663.    wt: 3:   11 What are real lengths and numbers
  664.    wt: 3:   7 Converting or Changing Units
  665.    wt: 3:   6 Simplification of Fractions with Units
  666.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  667.    wt: 3:   4 Fractions with Units
  668.    wt: 3:   3 Multiplying Units and Numbers
  669.    wt: 3:   2 Equality and Units
  670.    wt: 3:   1 Addition and Subtraction with Units
  671.    wt: 3:   22 Complex Compound Fractions
  672.    wt: 3:   21 Working With Signs
  673.    wt: 3:   21 Reciprocals for Fractions and Wholes
  674.    wt: 3:   20 Dividing Fractions the Why
  675.    wt: 3:   19 Dividing Fractions How TO
  676.    wt: 3:   18 Efficient Ways to Multiply
  677.    wt: 3:   17 Efficient Ways to Add and Subtract
  678.    wt: 3:   16 Addition Subtraction Comparision Compared
  679.    wt: 3:   13 Fraction Comparison Algebraic View
  680.    wt: 3:   12 Fraction Comparison
  681.    wt: 3:   11 Simplification an Algebraic View
  682.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  683.    wt: 3:   5 Equivalent Fractions
  684.    wt: 3:   4 Fraction Multiplication
  685.    wt: 3:   3 Unit fraction of a fraction
  686.    wt: 3:   2 Unit Fraction Multiplication
  687.    wt: 3:   1 What is a fraction Take II
  688.    wt: 3:   1 What is a fraction
  689.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  690.    wt: 3:   B Integer Long Division Multiple Choices
  691.    wt: 3:   13 Subtraction with Additive Inverse
  692.    wt: 3:   12 Adding Integers More Examples
  693.    wt: 3:   9 Multiplying Integers
  694.    wt: 3:   8 Multiplication by Signed Numbers Integers
  695.    wt: 3:   7 Multiplication by Signs
  696.    wt: 3:   5 Zero Movement and Additive Inverses
  697.    wt: 3:   4 Adding Movements wiht opposite directions
  698.    wt: 3:   3 Adding Movements with same direction
  699.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  700.    wt: 3:   1 Integers as Coordinates
  701.    wt: 3:   20 Uniqueness of Prime Factorization
  702.    wt: 3:   12 LCD GCD and LCM using Primes
  703.    wt: 3:   11 Efficient Square Rule Use
  704.    wt: 3:   5 Prime Factorization and a Square Rule
  705.    wt: 3:   2 Prime and Composites less than 16
  706.    wt: 3:   Exact Arithmetic Wholes and Fractions
  707.    wt: 3:   Formula Evaluation how to show work
  708.    wt: 3:   10 Three one sided limits with infinite values
  709.    wt: 3:   9 Limits Continuity and Composition
  710.    wt: 3:   8 Four Animated Examples
  711.    wt: 3:   5 Jumps and absence of unlimited error control
  712.    wt: 3:   4 Numerical properties
  713.    wt: 3:   2 Algebraic codification
  714.    wt: 3:   1 Numerical introduction
  715.    wt: 3:   G.6 Bounded Derivatives implies Lipshitz Continuity
  716.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  717.    wt: 3:   Chapter 23 Links To Trigonometry
  718.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  719.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  720.    wt: 3:   Chapter 10 Slopes and Units
  721.    wt: 3:   Chapter 8. Slope Interpretation
  722.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  723.    wt: 3:   Chapter 1.Introduction
  724.    wt: 3:   Foreword
  725.    wt: 3:   Chapter 10 Describing and Changing Calculations
  726.    wt: 3:   Postscript D Reflections on Law of the Excluded Middle
  727.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  728.    wt: 3:   M Words to extend arithmetic
  729.    wt: 3:   I. Logic and language skills
  730.    wt: 3:   G. Written work formats for developing and showing skill
  731.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  732.    wt: 3:   Chapter 2 Why Sets
  733.    wt: 3:   Chapter 1 Arithmetic
  734.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  735.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  736.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  737.    wt: 3:   Ends Values Methods For Skill Development Framework Prequel
  738.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  739.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  740.    wt: 2:   Skills Chapter 5 Calculus
  741.    wt: 2:   Skills Chapter 4 Logic
  742.    wt: 2:   Ramblings Extrinsic numbers theory
  743.    wt: 2:   Ramblings Introduction Algebra Essay
  744.    wt: 2:   Skills Chapter 3 Algebra
  745.    wt: 2:   11 pure mathematics
  746.    wt: 2:   10 statistics
  747.    wt: 2:   4 algebra
  748.    wt: 2:   website reviews
  749.    wt: 2:   Applied Maths Program14092009 POMME variant
  750.    wt: 2:   activities for students
  751.    wt: 2:   links Education Resources online
  752.    wt: 2:   About site lesson plans
  753.    wt: 2:   teacher certification
  754.    wt: 2:   modern education
  755.    wt: 2:   grouping students according to ability
  756.    wt: 2:   what should be learnt and When
  757.    wt: 2:   Postscript 2007 01 10
  758.    wt: 2:   Maps Plans Drawings
  759.    wt: 2:   how letters appear
  760.    wt: 2:   Secondary Two Mathematics
  761.    wt: 2:   teaching tips
  762.    wt: 2:   What to Tell Students
  763.    wt: 2:   geometric implications for algebra
  764.    wt: 2:   three aims for mathematics students
  765.    wt: 2:   Operational Viewpoint to Value
  766.    wt: 2:   Four ways to improve education reform
  767.    wt: 2:   Motivation and Context Problem
  768.    wt: 2:   need for a mixed mathematics curriculum
  769.    wt: 2:   Leaner mathematics curriculum
  770.    wt: 2:   Prequel In For A Penny In For A Pound
  771.    wt: 2:   education an empirical art
  772.    wt: 2:   fairness and inductive principles for instruction
  773.    wt: 2:   words for mathematics instructor
  774.    wt: 2:   liens
  775.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  776.    wt: 2:   Trois Notions qui menent a algebre
  777.    wt: 2:   1 Energy Power Heat06
  778.    wt: 2:   2 Conductance Resistance Duality02
  779.    wt: 2:   F Wire Resistance Calculation04
  780.    wt: 2:   E Wire Resistance Calculation03
  781.    wt: 2:   D Wire Resistance Calculation02
  782.    wt: 2:   C Wire Resistance Calculation01
  783.    wt: 2:   1 Like resistors in series
  784.    wt: 2:   H Series Circuit02
  785.    wt: 2:   G Series Circuit01
  786.    wt: 2:   F Unlike Resistors in Series
  787.    wt: 2:   C Electromotive force conventional current02
  788.    wt: 2:   B Electromotive force conventional current01
  789.    wt: 2:   A Circuit Elements
  790.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  791.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  792.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  793.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  794.    wt: 2:   18 Primary School Mathematics
  795.    wt: 2:   16 Secondary Mathematics Tips
  796.    wt: 2:   15 Counting For Parents
  797.    wt: 2:   14 Multiplication and Times Tables
  798.    wt: 2:   13 Addition and Addition Tables
  799.    wt: 2:   12 Goals and Objectives For Mathematics
  800.    wt: 2:   10 Ends values for work study instruction
  801.    wt: 2:   8 The Effect of Negative Remarks
  802.    wt: 2:   5 Patience Please for Yourself and Your Charges
  803.    wt: 2:   4 Learning Takes Time and Effort
  804.    wt: 2:   3 Preparing for Science Studies
  805.    wt: 2:   2 Reading and Writing Skills
  806.    wt: 2:   1 Speaking Skills
  807.    wt: 2:   Ages 12 to 14 Skills with take home value
  808.    wt: 2:   Ages 9 to 10
  809.    wt: 2:   Ages 8 to 9
  810.    wt: 2:   Ages 7 to 8
  811.    wt: 2:   Ages 6 to 7
  812.    wt: 2:   Ages 4 plus to 5 plus
  813.    wt: 2:   Ages 3 plus to 4 plus
  814.    wt: 2:   sign monoticity analysis example 4
  815.    wt: 2:   sign monoticity analysis example 3
  816.    wt: 2:   sign monoticity analysis example 2
  817.    wt: 2:   sign monoticity analysis example 1
  818.    wt: 2:   26 Function definitions done and coming
  819.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  820.    wt: 2:   20 Interchanging coordinates a reflection
  821.    wt: 2:   19 Horizontal line rule and method
  822.    wt: 2:   18 Vertical Line Rule and Method
  823.    wt: 2:   16 Increasing or decreasing on intervals
  824.    wt: 2:   11 Function Domain Range Source and Targets
  825.    wt: 2:   10 Interval Notation
  826.    wt: 2:   7 Functions with finite domains
  827.    wt: 2:   4 Function notation in and beyond mathematics
  828.    wt: 2:   2 Algebraic use of function notation
  829.    wt: 2:   10 quadratic exercises
  830.    wt: 2:   9 quadratics physical and further context
  831.    wt: 2:   4 quadratics difference of two squares
  832.    wt: 2:   3 quadratics factoring by inspection
  833.    wt: 2:   2 quadratics graphing in general
  834.    wt: 2:   1 quadratics graphing exercises
  835.    wt: 2:   11 Growth and Decay in Biology
  836.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  837.    wt: 2:   2 Square Root Simplification a prequel
  838.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  839.    wt: 2:   2 Column Multiplication Method
  840.    wt: 2:   1 Polynomials Distributive Law
  841.    wt: 2:   Rewriting algebraic substitution as function substitutions
  842.    wt: 2:   musings do not puiblish real numbers
  843.    wt: 2:   5 Areas of Rectangles Revisited
  844.    wt: 2:   3 Inequalities Algebraically
  845.    wt: 2:   5 Proportionality in Equivalent Fractions
  846.    wt: 2:   4 Rates Ratios and Proporitionality
  847.    wt: 2:   3 Proportionality Examples
  848.    wt: 2:   2 Algebraic View
  849.    wt: 2:   1 What is Proportionality
  850.    wt: 2:   16 Real Numbers Comparison
  851.    wt: 2:   15 Real Number Division
  852.    wt: 2:   14 Real Number Multiplication
  853.    wt: 2:   13 Real Number Subtraction
  854.    wt: 2:   12 Real Number Additive Inverses or Negatives
  855.    wt: 2:   11 Real Number Addition
  856.    wt: 2:   10 Real Number Lengths and Signs
  857.    wt: 2:   9 Coordinates for Regions in Space
  858.    wt: 2:   7 Real Numbers as Line Cordinates
  859.    wt: 2:   2 Computation Rules Evaluation
  860.    wt: 2:   More Exercises
  861.    wt: 2:   3 Adding Words To Arithmetic
  862.    wt: 2:   5 Square Roots with primes more still
  863.    wt: 2:   4 Square Roots with primes more
  864.    wt: 2:   3 Properties of Square Roots with example
  865.    wt: 2:   2 Square Roots with Prime
  866.    wt: 2:   1 Squares and Square Roots Introduction
  867.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  868.    wt: 2:   8 GCD from Euclidean Algorithm
  869.    wt: 2:   6 GCD from Prime
  870.    wt: 2:   5 Common Divisors 60 45 via Prime
  871.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  872.    wt: 2:   Quick history of numbers and algebra
  873.    wt: 2:   Expression Evaluation how to show work
  874.    wt: 2:   The 20 Times Table
  875.    wt: 2:   The 12 Times Table Visually
  876.    wt: 2:   11 Limits at infinity Three Examples
  877.    wt: 2:   G.5 Motions With Bounded Velocities
  878.    wt: 2:   D2 Limits of Monotone Sequences
  879.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  880.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  881.    wt: 2:   Chapter 22 Complex Numbers
  882.    wt: 2:   Chapter 21 Arrow Addition
  883.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  884.    wt: 2:   Chapter 18. Slopes Areas Integration
  885.    wt: 2:   Chapter 17. Area Approximation
  886.    wt: 2:   Chapter 16. Velocity Approximation
  887.    wt: 2:   Chapter 15. Slope Approximation
  888.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  889.    wt: 2:   Chapter 13. Acceleration
  890.    wt: 2:   Chapter 12. Units and Slopes
  891.    wt: 2:   Chapter 11. Graphing Slope versus Position
  892.    wt: 2:   Chapter 9 About First Courses in Calculus
  893.    wt: 2:   Chapter 7 Slopes and Velocity
  894.    wt: 2:   Chapter 5. Slope Sign Tests
  895.    wt: 2:   Chapter 4. More Slope Sign Analysis
  896.    wt: 2:   Chapter 3. Slope Sign Analysis
  897.    wt: 2:   Chapter 2. Slopes and Ski Trails
  898.    wt: 2:   Postscript More on Better Performance
  899.    wt: 2:   Postscript For Better Performance
  900.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  901.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  902.    wt: 2:   Chapter 21. Third Reading Guide
  903.    wt: 2:   Chapter 20. Degrees and Radians
  904.    wt: 2:   Chapter 19. Functions and Sets
  905.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  906.    wt: 2:   Chapter 13. Second Reading Guide
  907.    wt: 2:   Chapter 12. Shorthand Usage Guide
  908.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  909.    wt: 2:   Chapter 6 Change of Language
  910.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  911.    wt: 2:   Foreword
  912.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  913.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  914.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  915.    wt: 2:   Chapter 11 Accidental Patterns
  916.    wt: 2:   Chapter 10 Responsibility
  917.    wt: 2:   Chapter 8 Change of Language
  918.    wt: 2:   Chapter 6 Chains of Reason
  919.    wt: 2:   Chapter 5 Deception
  920.    wt: 2:   Chapter 2 Skill Development
  921.    wt: 2:   Three Remarks
  922.    wt: 2:   Foreword
  923.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  924.    wt: 2:   S Adding words to algebra
  925.    wt: 2:   R Why Learn Mathematics Skills
  926.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  927.    wt: 2:   O On Learning Mathematics and Science
  928.    wt: 2:   N Mathematics Prepare for College Studies
  929.    wt: 2:   L Skills with take home value
  930.    wt: 2:   N Improving Marks on Tests and Finals
  931.    wt: 2:   J. More on written work and showing skill
  932.    wt: 2:   H Jigsaw puzzles and problem solving
  933.    wt: 2:   E. When and how to correct errors
  934.    wt: 2:   D. Check work a must with a caution
  935.    wt: 2:   C. Domino effect of being careful
  936.    wt: 2:   B. Domino effect of errors
  937.    wt: 2:   A. Skill has to be seen to believed
  938.    wt: 2:   Chapter 8 Skipped Topics and Why
  939.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  940.    wt: 2:   Chapter 3 Algebra Starter Lessons
  941.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  942.    wt: 2:   7 Games and Activities for Instruction
  943.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  944.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  945.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  946.    wt: 2:   Implementation Notes
  947.    wt: 2:   Systematic Algebra Skill Development Missing Links
  948.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  949.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  950.    wt: 2:   Which Way To Go
  951.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  952.    wt: 2:   Road Safety Questions
  953.    wt: 1:   why bother
  954.    wt: 1:   which way to go
  955.    wt: 1:   Teach the teachers plus goals
  956.    wt: 1:   permissions for teachers
  957.    wt: 1:   Math Ed if it must be short make it lean effective
  958.    wt: 1:   site origins
  959.    wt: 1:   site eurekas
  960.    wt: 1:   key notes and themes
  961.    wt: 1:   Mathematics Education Professors
  962.    wt: 1:   learning takes time
  963.    wt: 1:   mathematics in context
  964.    wt: 1:   Education Reform Inconsistencies
  965.    wt: 1:   Secondary Three Mathematics
  966.    wt: 1:   Secondary One Mathematics
  967.    wt: 1:   talk the algebra talk
  968.    wt: 1:   three difficulties
  969.    wt: 1:   mathematics curriculum shifts
  970.    wt: 1:   teaching tutoring algebraic reason
  971.    wt: 1:   Lessening Algebra Difficulties
  972.    wt: 1:   the trouble with algebra
  973.    wt: 1:   three goals for Mathematics Education
  974.    wt: 1:   05 13 OldSiteEntrancePage
  975.    wt: 1:   04 29 New Mathematics Curriculum
  976.    wt: 1:   04 25 when to stop or suspend mathemat
  977.    wt: 1:   02 21 words for teachers
  978.    wt: 1:   02 20 mathematics education references
  979.    wt: 1:   standards for course material
  980.    wt: 1:   formal or informal peer review
  981.    wt: 1:   Theory of Knowledge
  982.    wt: 1:   mathematics instruction in general
  983.    wt: 1:   Education in mathematics science and technology
  984.    wt: 1:   Different Kinds of Reasoning in maths
  985.    wt: 1:   three kinds of reason in mathematics
  986.    wt: 1:   cultivating intelligence
  987.    wt: 1:   problemes responses
  988.    wt: 1:   4 Energy Power Heat09
  989.    wt: 1:   3 Energy Power Heat08
  990.    wt: 1:   2 Energy Power Heat07
  991.    wt: 1:   E Energy Power05
  992.    wt: 1:   D Energy Power04
  993.    wt: 1:   C Energy Power03
  994.    wt: 1:   B Energy Power02
  995.    wt: 1:   A Energy Power01
  996.    wt: 1:   1 Conductance Resistance Duality01
  997.    wt: 1:   B Wire Resistance Qualitative02
  998.    wt: 1:   A Wire Resistance Qualitative01
  999.    wt: 1:   3 Like resistors in parallel
  1000.    wt: 1:   2 Unlike resistors in parallel01
  1001.    wt: 1:   Home Tutoring and Home Schooling
  1002.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  1003.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  1004.    wt: 1:   23 Inverse Functions
  1005.    wt: 1:   22 Square Root function graphically
  1006.    wt: 1:   17 Function maxima minima and their location
  1007.    wt: 1:   15 Sign analysis of functions
  1008.    wt: 1:   14 Surjections Injections Bijections
  1009.    wt: 1:   13 From one to one to many to one
  1010.    wt: 1:   12 Function Domain Recognition Exercises
  1011.    wt: 1:   8 Notes for instructors or tutors
  1012.    wt: 1:   7 Links Lessons Elsewhere
  1013.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  1014.    wt: 1:   4 Polynomials Long division linear divisor
  1015.    wt: 1:   3 Polynomials Multiplication Addition
  1016.    wt: 1:   Simple Exercises
  1017.    wt: 1:   6 Three Notions of What is a Variable
  1018.    wt: 1:   5 Talking about Numbers and Quantities
  1019.    wt: 1:   4 A Brief Story of numbers and algebra
  1020.    wt: 1:   2 What is a Variable
  1021.    wt: 1:   1 Three Skills For Algebra
  1022.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  1023.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  1024.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  1025.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  1026.    wt: 1:   13 GCD from given Prime Factorization
  1027.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  1028.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  1029.    wt: 1:   7 GCD and LCM from prime factorization
  1030.    wt: 1:   4 LCM of 8 and 10 via Prime
  1031.    wt: 1:   1 Least Common Multiples LCM Introduction
  1032.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  1033.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  1034.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  1035.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  1036.    wt: 1:   G.3 Constant Difference Theorem Proof
  1037.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  1038.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  1039.    wt: 1:   F.5b Extreme Value Theorem
  1040.    wt: 1:   F.5a Equicontinuity Theorems
  1041.    wt: 1:   F.4 Finite Covering Theorem
  1042.    wt: 1:   F.3 Intermediate Value Theorem
  1043.    wt: 1:   F.2 Closed Range Theorem
  1044.    wt: 1:   F.1 What Functions are Continuous
  1045.    wt: 1:   E2 Algebraic Properties of Limits
  1046.    wt: 1:   E1 Error Control Inequalities
  1047.    wt: 1:   C Triangle Inequalities
  1048.    wt: 1:   B3 Bolzano Weierstrass Theorem
  1049.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  1050.    wt: 1:   PostScript For and Against Decimal Perspectives
  1051.    wt: 1:   A1. Introduction
  1052.    wt: 1:   Appendix E. How To Study Mathematics and Why
  1053.    wt: 1:   Appendix D. What to do in School and Why
  1054.    wt: 1:   Appendix C. How to Read
  1055.    wt: 1:   Appendix B. How To Learn
  1056.    wt: 1:   Chapter 31 Direct and Indirect Reason
  1057.    wt: 1:   Chapter 30 Truth Tables
  1058.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  1059.    wt: 1:   Chapter 28 Occurrence Tables
  1060.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  1061.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  1062.    wt: 1:   Chapter 25. Mathematical Induction Examples
  1063.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  1064.    wt: 1:   Chapter 23. Notation For Sums
  1065.    wt: 1:   Chapter 18. Rules for Algebra
  1066.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  1067.    wt: 1:   Chapter 16. Painless Theorem Proving
  1068.    wt: 1:   Chapter 15. Solving Linear Equations
  1069.    wt: 1:   Chapter 11. Why Shorthand
  1070.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  1071.    wt: 1:   Chapter 8 Three Skills For Algebra
  1072.    wt: 1:   Solutions For Arithmetic Exercises
  1073.    wt: 1:   Chapter 4 Longer Chains of Reason
  1074.    wt: 1:   Chapter 3 Chains of Reason
  1075.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  1076.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  1077.    wt: 1:   Chapter 10 Transition
  1078.    wt: 1:   Chapter 8 Modern Instruction
  1079.    wt: 1:   Chapter 7 Two Treatments of Geometry
  1080.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  1081.    wt: 1:   Foreword
  1082.    wt: 1:   Postscript C Consistency as a Tool for Reason
  1083.    wt: 1:   Postscript B More on Story Telling and Reason
  1084.    wt: 1:   Postscript A Story Telling
  1085.    wt: 1:   Chapter 24 Direct and Indirect Reason
  1086.    wt: 1:   Chapter 23 Truth Tables
  1087.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  1088.    wt: 1:   Chapter 21 Occurrence Tables
  1089.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  1090.    wt: 1:   Chapter 18 Sense and Knowledge
  1091.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  1092.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  1093.    wt: 1:   Chapter 15 Objective Processes
  1094.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  1095.    wt: 1:   Chapter 7 Longer Chains of Reason
  1096.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  1097.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  1098.    wt: 1:   Chapter 1 Introduction
  1099.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  1100.    wt: 1:   H more Routine to non routine problem solving
  1101.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  1102.    wt: 1:   Helping the Blind in Logic and Mathematics
  1103.    wt: 1:   Mathematics Education References
  1104.    wt: 1:   Mathematics Education References
  1105.    wt: 1:   More Algebra and Slope based Calculus Preview
  1106.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  1107.    wt: 1:   The Math Forum and Site Content
  1108.    wt: 1:   Site Reviews
  1109.    wt: 15:   chapitre 07 00 Des chaines plus longues de la raison
  1110.    wt: 15:   chapitre 06 00 Chaines de la raison
  1111.    wt: 13:   chapitre 02 00 La Communication des idees
  1112.    wt: 11:   chapitre 12 00 les iles et division
  1113.    wt: 11:   chapitre 05 00 Deception
  1114.    wt: 11:   chapitre 04 10 Etapes pour une meilleur raison
  1115.    wt: 11:   chapitre 04 09 Regles accidentelles
  1116.    wt: 11:   chapitre 04 07 RepetablesEtReproductibles
  1117.    wt: 11:   chapitre 04 04 Parlons de la logique
  1118.    wt: 11:   chapitre 04 00 Les regles d implication
  1119.    wt: 11:   chapitre 03 A Propos Des Prochains Chapitre
  1120.    wt: 11:   6 Why Decimal Long Division Methods Works Take I
  1121.    wt: 11:   D Decimal Multiplication Methods Derived
  1122.    wt: 10:   chapitre 04 08 Limitations et benefices
  1123.    wt: 10:   chapitre 04 06 engagements
  1124.    wt: 10:   chapitre 04 02 Deuxieme enigme
  1125.    wt: 10:   chapitre 01 00 Introduction
  1126.    wt: 10:   4 Side Side Side
  1127.    wt: 10:   Short Course on Euclidean Geometry
  1128.    wt: 10:   6 Multiplication Commutes Order Not Important
  1129.    wt: 10:   Video Decimal Multiplication Geometric View Example 2
  1130.    wt: 10:   Video Decimal Multiplication Geometric View Example 2
  1131.    wt: 10:   Appendix 2 Three Decimal Subtraction Methods
  1132.    wt: 10:   Appendix 1 Decimals Comparison Method Take II
  1133.    wt: 10:   7 Adding decimal fractions using decimal point
Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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