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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79 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:   2 Euclidean Geometry Constructions Theory extras/
  8.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  9.    wt: 5:   12 Function Translating and Rescaling/
  10.    wt: 5:   8 Unit Circle Trigonometry/
  11.    wt: 5:   7 Complex Numbers/
  12.    wt: 5:   6 Trigonometry first steps/
  13.    wt: 5:   5 What is Similarity/
  14.    wt: 5:   3 Cartesian and Polar Coordinates/
  15.    wt: 5:   1 Maps Plans Measurement/
  16.    wt: 4:   13 Vectors/
  17.    wt: 4:   11 Parallel Straight Lines and Transversals/
  18.    wt: 4:   10 Intersecting Straight Lines and Transversals/
  19.    wt: 4:   9 Lines and Slopes Take 2 with tangent function/
  20.    wt: 4:   4 Lines and Slopes Take 1/
  21.    wt: 4:   7 Arithmetic and Fractions with Units/
  22.    wt: 4:   4 Remainder Arithmetic and Divisibility/
  23.    wt: 4:   2 Arithmetic with Decimals/
  24.    wt: 4:   1 Decimal Place Value/
  25.    wt: 4:   12 Webvideo Lessons on Area and Volume Calculation/
  26.    wt: 4:   38 Lessons on Calculating Derivatives/
  27.    wt: 3:   Geometry maps plans trigonometry vectors/
  28.    wt: 3:   8 Arithmetic with Signed Numbers/
  29.    wt: 3:   Time Date Matters/
  30.    wt: 3:   4 Lessons on Using Derivatives/
  31.    wt: 2:   LAMP Lean Applied Mathematics Program/
  32.    wt: 2:   3 Quadratics Geometrically/
  33.    wt: 2:   B Real Numbers Extrinsic Development/
  34.    wt: 2:   A Origins of Counting and Figuring Methods/
  35.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  36.    wt: 2:   Step 4 Gaussian Elimination/
  37.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  38.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  39.    wt: 2:   Step 1 Stick diagram and fractions/
  40.    wt: 2:   2 Formula Forward Use Evaluation/
  41.    wt: 2:   1 Working With Sets/
  42.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  43.    wt: 2:   11 Squares and Square Roots/
  44.    wt: 2:   9 Combinatorics Trees Tables and Products/
  45.    wt: 2:   6 Fractions and Ratios/
  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:   Mathematics 506 Lessons/
  51.    wt: 2:   Quebec Material/
  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:   6 More Less Greater Than Inequalities and Comparison/
  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 3 Why Slopes A Calculus Intro Etc/
  74.    wt: 1:   Volume 1A Pattern Based Reason/
  75.    wt: 1:   Work and Study Tips/
  76.    wt: 1:   Resources and Reciprocal Links/
  77.    wt: 1:   Secondary Mathematics A Practical Approach/
  78.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  79.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

481 matches:

  1.    wt: 6:   chapitre 06 00 Chaines de la raison
  2.    wt: 5:   chapitre 02 00 La Communication des idees
  3.    wt: 4:   chapitre 04 07 RepetablesEtReproductibles
  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 04 Parlons de la logique
  12.    wt: 3:   chapitre 04 00 Les regles d implication
  13.    wt: 3:   chapitre 03 A Propos Des Prochains Chapitre
  14.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take IV
  15.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take III
  16.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take II
  17.    wt: 3:   23 Modularized Skill Development Modularized Rigor
  18.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  19.    wt: 3:   4 Side Side Side
  20.    wt: 3:   A Modular and Remainder Arithmetic
  21.    wt: 3:   1 Formulas Dependence and Function Notation
  22.    wt: 3:   arithmetic videos Real Player Format
  23.    wt: 3:   D Decimal Multiplication Methods Derived
  24.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  25.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  26.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  27.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  28.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  29.    wt: 2:   E LAMP Introduction Modern Mathematics
  30.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  31.    wt: 2:   8 analytic geometry etc
  32.    wt: 2:   3 Euclidean Geometry Leanly
  33.    wt: 2:   three goals to set for students
  34.    wt: 2:   five decades make a difference
  35.    wt: 2:   chapitre 07 01 principle D induction mathematique
  36.    wt: 2:   chapitre 04 08 Limitations et benefices
  37.    wt: 2:   chapitre 04 02 Deuxieme enigme
  38.    wt: 2:   chapitre 01 00 Introduction
  39.    wt: 2:   problemes algebre et arithmetique
  40.    wt: 2:   deux definitions pour variable
  41.    wt: 2:   Ages 4 plus to 5 plus
  42.    wt: 2:   Ages 3 plus to 4 plus
  43.    wt: 2:   9 Set theory term relation possible origins
  44.    wt: 2:   8 Set view of relations and functions
  45.    wt: 2:   7 quadratic formulla derivation
  46.    wt: 2:   10 Exponential Growth and Decay Models
  47.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  48.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  49.    wt: 2:   30 unit circle calculation of six trigonometric functions
  50.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  51.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  52.    wt: 2:   11 tangent function undefined when terminal side vertical
  53.    wt: 2:   Unit Circle Development of Trigonometry
  54.    wt: 2:   8 Unit Circle Development of Trigonometry
  55.    wt: 2:   1 Rectangular Polar Coordinates Review
  56.    wt: 2:   Appetizer A Complex Number Applet
  57.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  58.    wt: 2:   11 Triangle Similarity Missing Side Problem
  59.    wt: 2:   7 Translations Rotations Reflections Dilatations
  60.    wt: 2:   6 Geometric Diagrams in Class
  61.    wt: 2:   4 Similarity Definition with Coordinate
  62.    wt: 2:   3 Similarity by Design with coordinates
  63.    wt: 2:   2 Similarity By Design
  64.    wt: 2:   10 Pythagorean plane distance formula
  65.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  66.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  67.    wt: 2:   16 Angles Subtended By Chords and Diameters
  68.    wt: 2:   12 Side Angle Side Failure
  69.    wt: 2:   5 Side Angle Side
  70.    wt: 2:   2 Correspondence between Triangles
  71.    wt: 2:   Short Course on Euclidean Geometry
  72.    wt: 2:   23 Distributive Law Two Derivations
  73.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  74.    wt: 2:   C Three Decimal Subtraction Methods
  75.    wt: 2:   A Decimal Addition Columm Methods
  76.    wt: 2:   7 Decimals Multiplication Methods Examples
  77.    wt: 2:   6 Column Methods for Decimal Multiplication
  78.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  79.    wt: 2:   3 Geometric Formulas and Function Notation
  80.    wt: 2:   13 Naming Identifying Formulas with Words
  81.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  82.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  83.    wt: 2:   4 Subset Builder Notation
  84.    wt: 2:   3 Counting with Sets etc
  85.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  86.    wt: 2:   23 Remainder Arithmetic Modulo 2
  87.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  88.    wt: 2:   21 Remainder Arithmetic Modulo 3
  89.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  90.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  91.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  92.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  93.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  94.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  95.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  96.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  97.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  98.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  99.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  100.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  101.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  102.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  103.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  104.    wt: 2:   5 Remainder Arithmetic Modulo 5
  105.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  106.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  107.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  108.    wt: 2:   1 Remainder Arithmetic Modulo 10
  109.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  110.    wt: 2:   Video Power Notation in Decimal Expansion
  111.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  112.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  113.    wt: 2:   7 Adding decimal fractions using decimal point
  114.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  115.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  116.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  117.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  118.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  119.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  120.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  121.    wt: 2:   A Chain Rule Real Player video examples
  122.    wt: 2:   38 Formulas and derivatives for powers and roots
  123.    wt: 2:   33 Chain Rule Real Player video examples
  124.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  125.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  126.    wt: 2:   7 Evaluation by immediate or delayed substitution
  127.    wt: 2:   G.6 Bounded Derivatives implies Lipshitz Continuity
  128.    wt: 2:   Chapter 10 Describing and Changing Calculations
  129.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  130.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  131.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  132.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  133.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  134.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  135.    wt: 1:   Appendix 2 primary school Arithmetic 01
  136.    wt: 1:   K LAMP Musings Science Education
  137.    wt: 1:   J LAMP Introduction Extrinsic Origins
  138.    wt: 1:   I LAMP Introduction Study Habits
  139.    wt: 1:   H LAMP Introduction Instructional Concepts
  140.    wt: 1:   G LAMP Introduction Problem Solving Skills
  141.    wt: 1:   F LAMP Introduction Prerequisites
  142.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  143.    wt: 1:   Skills Chapter 2 Geometry
  144.    wt: 1:   Skills Chapter 1 Arithmetic
  145.    wt: 1:   9 combinatorics probability sets
  146.    wt: 1:   7 logic review and decimals an odd combination
  147.    wt: 1:   6 polynomials etc
  148.    wt: 1:   5 logarithms and exponentials etc
  149.    wt: 1:   2 arithmetic with signed numbers
  150.    wt: 1:   1 arithmetic with unsigned numbers
  151.    wt: 1:   Teach the teachers plus goals
  152.    wt: 1:   Applied Maths Program14092009 POMME variant
  153.    wt: 1:   activities for students
  154.    wt: 1:   About site lesson plans
  155.    wt: 1:   modern education
  156.    wt: 1:   grouping students according to ability
  157.    wt: 1:   Postscript 2007 01 10
  158.    wt: 1:   Maps Plans Drawings
  159.    wt: 1:   how letters appear
  160.    wt: 1:   What to Tell Students
  161.    wt: 1:   geometric implications for algebra
  162.    wt: 1:   three aims for mathematics students
  163.    wt: 1:   How to be a better instructor
  164.    wt: 1:   chapitre 04 06 engagements
  165.    wt: 1:   chapitre 04 05 Implication versus suggestion
  166.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  167.    wt: 1:   chapitre 04 01 Premiere enigme
  168.    wt: 1:   logique deux enigme
  169.    wt: 1:   2 Energy Power Heat07
  170.    wt: 1:   F Wire Resistance Calculation04
  171.    wt: 1:   E Wire Resistance Calculation03
  172.    wt: 1:   D Wire Resistance Calculation02
  173.    wt: 1:   C Wire Resistance Calculation01
  174.    wt: 1:   E Kirchoffs Second Law
  175.    wt: 1:   D Kirchoff First Law
  176.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  177.    wt: 1:   24 Standards For Skill Develoment Take II
  178.    wt: 1:   24 Standards For Skill Develoment
  179.    wt: 1:   22 Student Centered Highschool Mathematics
  180.    wt: 1:   17 Math Booklets for children and young teenagers
  181.    wt: 1:   11 Help and Defend Your Child or Teens Education
  182.    wt: 1:   9 Streaming by Student Cooperation
  183.    wt: 1:   7 Student Motivation
  184.    wt: 1:   Ages 12 to 14 Geometry
  185.    wt: 1:   Ages 12 to 14 Arithmetic
  186.    wt: 1:   Ages 10 to 12 Geometry
  187.    wt: 1:   Ages 10 to 12 Arithmetic
  188.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  189.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  190.    wt: 1:   26 Function definitions done and coming
  191.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  192.    wt: 1:   19 Horizontal line rule and method
  193.    wt: 1:   18 Vertical Line Rule and Method
  194.    wt: 1:   16 Increasing or decreasing on intervals
  195.    wt: 1:   11 Function Domain Range Source and Targets
  196.    wt: 1:   6 Set Existence Formation and Notation
  197.    wt: 1:   5 Function notation for geometric transformations
  198.    wt: 1:   3 Formula or function graphing exercise
  199.    wt: 1:   1 Geometric Introduction of Function Notation
  200.    wt: 1:   Introduction Reading Guide
  201.    wt: 1:   8 quadratics backward use of various formulas
  202.    wt: 1:   5 quadratics completing the square
  203.    wt: 1:   11 Growth and Decay in Biology
  204.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  205.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  206.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  207.    wt: 1:   5 Natural Logarithm Calculator Exercises
  208.    wt: 1:   1 Calculator Starter Exercises
  209.    wt: 1:   2 Column Multiplication Method
  210.    wt: 1:   1 Polynomials Distributive Law
  211.    wt: 1:   16 cotangent function Definition Graph and Inverse
  212.    wt: 1:   15 cosecant function Definition Graph and Inverse
  213.    wt: 1:   14 secant function Definition Graph and Inverse
  214.    wt: 1:   13 cosecant function Definition Graph and Inverse
  215.    wt: 1:   10 arctan left inverse of tangent Definition
  216.    wt: 1:   7 arcsin left inverse of sine Definition
  217.    wt: 1:   3 Left Inverse of cosine arccos definition
  218.    wt: 1:   9 Summary Degrees to Radians and back
  219.    wt: 1:   6 Radian Measure to Degrees
  220.    wt: 1:   5 Degrees to Radian Measure
  221.    wt: 1:   2 Radian Measure Numerical Value of one degree
  222.    wt: 1:   1 Degrees and Radians Introduction
  223.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  224.    wt: 1:   11 Component Method
  225.    wt: 1:   10 Parallelogram Addition Method
  226.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  227.    wt: 1:   Vector and Complex Number Applet
  228.    wt: 1:   3 graphing y=f(x c) plus K
  229.    wt: 1:   Triangle Angles Sum To 180 Degrees
  230.    wt: 1:   12 Straight Lines Graphing mx plus b
  231.    wt: 1:   17 tangent function angle sum formulas
  232.    wt: 1:   31 basic secant cosecant cotangent trig identities
  233.    wt: 1:   26 Formulas for products of sines and cosines
  234.    wt: 1:   25 tangent double angle formula Slope connection
  235.    wt: 1:   24 tangent Angle Difference Formula
  236.    wt: 1:   21 sine and cosine Half Angle Formulas
  237.    wt: 1:   20 sine and cosine Double Angle Formulas
  238.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  239.    wt: 1:   17F Law of cosines
  240.    wt: 1:   17E Trig Formulas for dot and cross Products
  241.    wt: 1:   17D cis formulas for sine cosines and tangent
  242.    wt: 1:   17C sine and cosine double triple angle formulas
  243.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  244.    wt: 1:   16 Right Triangle Complementary Angle Relations
  245.    wt: 1:   15 sine cosine Complementary Angle Relations
  246.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  247.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  248.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  249.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  250.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  251.    wt: 1:   14 Law of cosines
  252.    wt: 1:   13 Trig Formulas for dot and cross Products
  253.    wt: 1:   12 cis formulas for sine cosines and tangent
  254.    wt: 1:   11 sine and cosine double triple angle formulas
  255.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  256.    wt: 1:   7 Second Way to Calculate Products
  257.    wt: 1:   5 An Easy Proof of the Distributive Law
  258.    wt: 1:   2 Complex Numbers made easier we hope
  259.    wt: 1:   8 Triangles Cascade Problem Solving
  260.    wt: 1:   7 Trignometric Ratios Unit Circle
  261.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  262.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  263.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  264.    wt: 1:   3 Trigonometric Ratios sine and cosine
  265.    wt: 1:   1 Angle Measurement with Degrees
  266.    wt: 1:   Why Trigonometry the whyslopes view
  267.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  268.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  269.    wt: 1:   12 Triangles Similarity More Problems
  270.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  271.    wt: 1:   9 Similarity of Triangles Usual Criteria
  272.    wt: 1:   8 Similarity of Triangles and Polygons
  273.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  274.    wt: 1:   1 Early Concept of Like or Similar Shapes
  275.    wt: 1:   8 Mid Point Formula
  276.    wt: 1:   3 Slope product for perpendicular lines
  277.    wt: 1:   13 Pythagorean spatial distance formulas
  278.    wt: 1:   8 Distance Between Points on a Line
  279.    wt: 1:   7 Complex Numbers Appetizer
  280.    wt: 1:   6 Polar Multiplication and Rotation
  281.    wt: 1:   5 Cartesian Addition and Translation
  282.    wt: 1:   4 Polar Coordinates to and from
  283.    wt: 1:   3 Rectangular Coordinates Review
  284.    wt: 1:   PS H Distributive Law For Complex Numbers
  285.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  286.    wt: 1:   PS E Multiplication with Polar Coordinates
  287.    wt: 1:   PS B Parallelogram Construction Methods
  288.    wt: 1:   PS A Kite Construction Methods
  289.    wt: 1:   19 Right Triangle Similarity
  290.    wt: 1:   18 Triangle Similarity Take 1
  291.    wt: 1:   17 Right Bisectors of Triangle Sides
  292.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  293.    wt: 1:   14 Parallel Lines Postulate
  294.    wt: 1:   13 Angle Side Angle Failure
  295.    wt: 1:   10 Dropping a perpendicular to line
  296.    wt: 1:   7 Angle Side Angle
  297.    wt: 1:   3 Isometry of Triangles Congruence
  298.    wt: 1:   4 Angles on Maps Plans drawn to scale
  299.    wt: 1:   3 Lengths and Areas on Maps and Plans
  300.    wt: 1:   About Folder Contents
  301.    wt: 1:   A Signed Number Arithmetic Review
  302.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  303.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  304.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  305.    wt: 1:   15 Head to Tails in place Addition Associative
  306.    wt: 1:   13 Arrows and Vectors in a Plane
  307.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  308.    wt: 1:   9 Division with Digits after Decimal Point
  309.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  310.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  311.    wt: 1:   4 Location of Point in Decimal Addition
  312.    wt: 1:   3 Location of Point in Decimal Multiplication
  313.    wt: 1:   2 Counting Digits in Decimal Multiplication
  314.    wt: 1:   1 Fractions with Finite Decimal Expansions
  315.    wt: 1:   E Long Division Methods more
  316.    wt: 1:   D Long Division Methods
  317.    wt: 1:   B Decimal Comparison and Subtraction
  318.    wt: 1:   8 Column Multiplication Methods in General
  319.    wt: 1:   5 Distributive Law for Whole Numbers
  320.    wt: 1:   4 Commutative Law Groups Counting Form
  321.    wt: 1:   4 Fraction Operations Axiomatic Development
  322.    wt: 1:   2 Fraction Operations Physical Development
  323.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  324.    wt: 1:   5 Triangle Area Formula Backwards
  325.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  326.    wt: 1:   1 Changing Calculations
  327.    wt: 1:   8 Coordinates for Maps and Planes
  328.    wt: 1:   4 Changing Letters
  329.    wt: 1:   4 Solving a triangular system exercise
  330.    wt: 1:   3 Solving triangular system example
  331.    wt: 1:   Skill Development Notes
  332.    wt: 1:   Using Letters for Physical Quantities
  333.    wt: 1:   Formula Usage Show Work Format
  334.    wt: 1:   8 Compound Interest Formula Evaluation
  335.    wt: 1:   7 Compound Interest Formula Introduction
  336.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  337.    wt: 1:   5 Box Volume Formula Example
  338.    wt: 1:   4 Circle Area Formula Example
  339.    wt: 1:   3 Triangle Area Formula Example
  340.    wt: 1:   2 Another Rectangle Area Formula Example
  341.    wt: 1:   1 Written work formats for developing and showing skill
  342.    wt: 1:   9 Sets in Probability and Statistics
  343.    wt: 1:   8 Sets of Numbers
  344.    wt: 1:   7 Cautious or Safe Set Construction
  345.    wt: 1:   6 Power Set Notation
  346.    wt: 1:   5 Product Builder Notation
  347.    wt: 1:   1 Finite Sets
  348.    wt: 1:   3 Adding Words To Arithmetic
  349.    wt: 1:   About Folder Contents
  350.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  351.    wt: 1:   8 GCD from Euclidean Algorithm
  352.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  353.    wt: 1:   2 Least Common Multiple LCM intro via list method
  354.    wt: 1:   12 GCD 2700 288 via Prime
  355.    wt: 1:   1 Counting and Counting Methods I
  356.    wt: 1:   3 signed coordinates for maps and planes
  357.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  358.    wt: 1:   14 Adding and Subtracting with Like Denominators
  359.    wt: 1:   D Remainders Modulo 11 Pair Rule
  360.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  361.    wt: 1:   A Associative Law Theorectical Note
  362.    wt: 1:   11 Adding Integers Formulas and Examples
  363.    wt: 1:   10 Integer Multiplication Formulas
  364.    wt: 1:   19 video Prime Factorization Unique
  365.    wt: 1:   18 video Count Factors given Prime Factorization
  366.    wt: 1:   17 Identify and Count Factors using Primes
  367.    wt: 1:   16 video Factors of 980 using prime
  368.    wt: 1:   15 video Factors of 20 using Prime Factorization
  369.    wt: 1:   14 video Factors of 24 Take II
  370.    wt: 1:   13 video Factors of 24 using prime
  371.    wt: 1:   10 video Prime Factorization upto 23 squared
  372.    wt: 1:   9 video Prime Factorization upto 19 squared
  373.    wt: 1:   8 video Prime Factorization upto 19
  374.    wt: 1:   7 Calculator Usage Notes and Cautions
  375.    wt: 1:   4 video Prime Factorization Introduction
  376.    wt: 1:   3 video Primes and Composites from 9 times table
  377.    wt: 1:   1 video how Products are bigger than factor
  378.    wt: 1:   5 Long Division Include Zeroes or not
  379.    wt: 1:   A Elementary Basis for Multiplication Methods
  380.    wt: 1:   6 Multiplication Commutes Order Not Important
  381.    wt: 1:   5 Decimal Fraction Multiplication
  382.    wt: 1:   Subtraction Another Video Lesson
  383.    wt: 1:   9 22 Minute Subtraction Review Video
  384.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  385.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  386.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  387.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  388.    wt: 1:   5. How to add decimals C. Examples
  389.    wt: 1:   4. How to add with decimals B with conversions
  390.    wt: 1:   3. How to add with decimals A sans conversions
  391.    wt: 1:   2 Decimal Counting Practices
  392.    wt: 1:   1. Explaining Addition Table
  393.    wt: 1:   11 Place Value SI Standard International way
  394.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  395.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  396.    wt: 1:   Exact Arithmetic Wholes and Fractions
  397.    wt: 1:   Formula Evaluation how to show work
  398.    wt: 1:   About folder contents
  399.    wt: 1:   016 Numbering Occidental Calendar Days
  400.    wt: 1:   5 Conversion Arithmetic
  401.    wt: 1:   Example 1. Area Between x and x squared
  402.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  403.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  404.    wt: 1:   Area Between Curves Lesson Take 2
  405.    wt: 1:   Area Between Curves Lesson Take 1
  406.    wt: 1:   A Related Material in Volume 3
  407.    wt: 1:   5 Area Under Curve Exercise
  408.    wt: 1:   4 Definite Integrals Evaluation Exercises
  409.    wt: 1:   3 Two Chain Rule Method Exercises
  410.    wt: 1:   2 Indefinite Integrals Exercises
  411.    wt: 1:   1 Chain Rule in Reverse Integration Method
  412.    wt: 1:   A Related lessons in Volume 3
  413.    wt: 1:   4 Second derivative test exercise example
  414.    wt: 1:   3 Second derivative test
  415.    wt: 1:   2 Second derivative test prequel
  416.    wt: 1:   36 Cube root derivative animated
  417.    wt: 1:   34 Derivative of exponential function
  418.    wt: 1:   31 Derivatives of inverse functions
  419.    wt: 1:   17 Derivatives of quotients of sine and cosine
  420.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  421.    wt: 1:   15 sine and cosine derivatives 3rd step
  422.    wt: 1:   14 sine and cosine derivatives 2nd step
  423.    wt: 1:   13 sine and cosine derivatives 1st step
  424.    wt: 1:   3 Motivation for Limit Definition Take 2
  425.    wt: 1:   2 Motivation for Limit Definition Take 1
  426.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  427.    wt: 1:   10 Three one sided limits with infinite values
  428.    wt: 1:   3 Decimal insights for limits continuity convergence
  429.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  430.    wt: 1:   G.5 Motions With Bounded Velocities
  431.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  432.    wt: 1:   PostScript For and Against Decimal Perspectives
  433.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  434.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  435.    wt: 1:   Chapter 23 Links To Trigonometry
  436.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  437.    wt: 1:   Chapter 8. Slope Interpretation
  438.    wt: 1:   Fall 1983 Calculus Appetizer
  439.    wt: 1:   Postscript More on Better Performance
  440.    wt: 1:   Postscript For Better Performance
  441.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  442.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  443.    wt: 1:   Chapter 21. Third Reading Guide
  444.    wt: 1:   Chapter 20. Degrees and Radians
  445.    wt: 1:   Chapter 19. Functions and Sets
  446.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  447.    wt: 1:   Chapter 13. Second Reading Guide
  448.    wt: 1:   Chapter 12. Shorthand Usage Guide
  449.    wt: 1:   Solutions For Arithmetic Exercises
  450.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  451.    wt: 1:   Chapter 6 Change of Language
  452.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  453.    wt: 1:   Chapter 8 Modern Instruction
  454.    wt: 1:   Chapter 7 Two Treatments of Geometry
  455.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  456.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  457.    wt: 1:   Chapter 11 Accidental Patterns
  458.    wt: 1:   Chapter 8 Change of Language
  459.    wt: 1:   Chapter 5 Deception
  460.    wt: 1:   Chapter 2 Skill Development
  461.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  462.    wt: 1:   M Words to extend arithmetic
  463.    wt: 1:   I. Logic and language skills
  464.    wt: 1:   G. Written work formats for developing and showing skill
  465.    wt: 1:   F. The student teacher tutor feedback loop
  466.    wt: 1:   How to Build Skills and Confidence
  467.    wt: 1:   Chapter 6 More Algebra and Geometry
  468.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  469.    wt: 1:   Chapter 2 Why Sets
  470.    wt: 1:   Chapter 1 Arithmetic
  471.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  472.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  473.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  474.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  475.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  476.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  477.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  478.    wt: 1:   Systematic Algebra Skill Development Missing Links
  479.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  480.    wt: 1:   Road Safety Questions
  481.    wt: 10:   chapitre 07 00 Des chaines plus longues de la raison

Extended Search

1132 matches:

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