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.

Home << Search

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

Key Word Search

Folder Search

81 matches:

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

Web Page Search

339 matches:

  1.    wt: 7:   chapitre 02 00 La Communication des idees
  2.    wt: 4:   chapitre 07 00 Des chaines plus longues de la raison
  3.    wt: 3:   chapitre 12 00 les iles et division
  4.    wt: 3:   chapitre 06 00 Chaines de la raison
  5.    wt: 3:   chapitre 04 07 RepetablesEtReproductibles
  6.    wt: 3:   chapitre 04 00 Les regles d implication
  7.    wt: 3:   chapitre 03 A Propos Des Prochains Chapitre
  8.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  9.    wt: 2:   8 analytic geometry etc
  10.    wt: 2:   chapitre 05 00 Deception
  11.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  12.    wt: 2:   chapitre 04 09 Regles accidentelles
  13.    wt: 2:   chapitre 04 08 Limitations et benefices
  14.    wt: 2:   chapitre 04 04 Parlons de la logique
  15.    wt: 2:   chapitre 04 02 Deuxieme enigme
  16.    wt: 2:   chapitre 01 00 Introduction
  17.    wt: 2:   problemes algebre et arithmetique
  18.    wt: 2:   D Wire Resistance Calculation02
  19.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  20.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  21.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  22.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  23.    wt: 2:   9 Set theory term relation possible origins
  24.    wt: 2:   8 Set view of relations and functions
  25.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  26.    wt: 2:   30 unit circle calculation of six trigonometric functions
  27.    wt: 2:   1 Rectangular Polar Coordinates Review
  28.    wt: 2:   Appetizer A Complex Number Applet
  29.    wt: 2:   7 Translations Rotations Reflections Dilatations
  30.    wt: 2:   6 Geometric Diagrams in Class
  31.    wt: 2:   3 Similarity by Design with coordinates
  32.    wt: 2:   2 Similarity By Design
  33.    wt: 2:   10 Pythagorean plane distance formula
  34.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  35.    wt: 2:   A Modular and Remainder Arithmetic
  36.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  37.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  38.    wt: 2:   3 Geometric Formulas and Function Notation
  39.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  40.    wt: 2:   3 Counting with Sets etc
  41.    wt: 2:   arithmetic videos Real Player Format
  42.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  43.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  44.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  45.    wt: 2:   Chapter 10 Describing and Changing Calculations
  46.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  47.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  48.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  49.    wt: 1:   Appendix 2 primary school Arithmetic 01
  50.    wt: 1:   K LAMP Musings Science Education
  51.    wt: 1:   J LAMP Introduction Extrinsic Origins
  52.    wt: 1:   I LAMP Introduction Study Habits
  53.    wt: 1:   H LAMP Introduction Instructional Concepts
  54.    wt: 1:   G LAMP Introduction Problem Solving Skills
  55.    wt: 1:   F LAMP Introduction Prerequisites
  56.    wt: 1:   E LAMP Introduction Modern Mathematics
  57.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  58.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  59.    wt: 1:   Skills Chapter 2 Geometry
  60.    wt: 1:   Skills Chapter 1 Arithmetic
  61.    wt: 1:   9 combinatorics probability sets
  62.    wt: 1:   6 polynomials etc
  63.    wt: 1:   5 logarithms and exponentials etc
  64.    wt: 1:   3 Euclidean Geometry Leanly
  65.    wt: 1:   2 arithmetic with signed numbers
  66.    wt: 1:   1 arithmetic with unsigned numbers
  67.    wt: 1:   three goals to set for students
  68.    wt: 1:   Applied Maths Program14092009 POMME variant
  69.    wt: 1:   About site lesson plans
  70.    wt: 1:   Postscript 2007 01 10
  71.    wt: 1:   five decades make a difference
  72.    wt: 1:   Maps Plans Drawings
  73.    wt: 1:   how letters appear
  74.    wt: 1:   geometric implications for algebra
  75.    wt: 1:   02 21 words for teachers
  76.    wt: 1:   02 20 mathematics education references
  77.    wt: 1:   How to be a better instructor
  78.    wt: 1:   chapitre 07 01 principle D induction mathematique
  79.    wt: 1:   chapitre 04 06 engagements
  80.    wt: 1:   chapitre 04 05 Implication versus suggestion
  81.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  82.    wt: 1:   chapitre 04 01 Premiere enigme
  83.    wt: 1:   B Energy Power02
  84.    wt: 1:   2 Conductance Resistance Duality02
  85.    wt: 1:   F Wire Resistance Calculation04
  86.    wt: 1:   E Wire Resistance Calculation03
  87.    wt: 1:   C Wire Resistance Calculation01
  88.    wt: 1:   B Wire Resistance Qualitative02
  89.    wt: 1:   H Series Circuit02
  90.    wt: 1:   E Kirchoffs Second Law
  91.    wt: 1:   D Kirchoff First Law
  92.    wt: 1:   C Electromotive force conventional current02
  93.    wt: 1:   17 Math Booklets for children and young teenagers
  94.    wt: 1:   Ages 12 to 14 Geometry
  95.    wt: 1:   Ages 12 to 14 Arithmetic
  96.    wt: 1:   Ages 10 to 12 Geometry
  97.    wt: 1:   Ages 10 to 12 Arithmetic
  98.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  99.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  100.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  101.    wt: 1:   19 Horizontal line rule and method
  102.    wt: 1:   18 Vertical Line Rule and Method
  103.    wt: 1:   11 Function Domain Range Source and Targets
  104.    wt: 1:   6 Set Existence Formation and Notation
  105.    wt: 1:   5 Function notation for geometric transformations
  106.    wt: 1:   3 Formula or function graphing exercise
  107.    wt: 1:   1 Geometric Introduction of Function Notation
  108.    wt: 1:   8 quadratics backward use of various formulas
  109.    wt: 1:   7 quadratic formulla derivation
  110.    wt: 1:   5 quadratics completing the square
  111.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  112.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  113.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  114.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  115.    wt: 1:   5 Natural Logarithm Calculator Exercises
  116.    wt: 1:   1 Calculator Starter Exercises
  117.    wt: 1:   2 Column Multiplication Method
  118.    wt: 1:   1 Polynomials Distributive Law
  119.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  120.    wt: 1:   11 Component Method
  121.    wt: 1:   10 Parallelogram Addition Method
  122.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  123.    wt: 1:   Vector and Complex Number Applet
  124.    wt: 1:   17 tangent function angle sum formulas
  125.    wt: 1:   26 Formulas for products of sines and cosines
  126.    wt: 1:   25 tangent double angle formula Slope connection
  127.    wt: 1:   24 tangent Angle Difference Formula
  128.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  129.    wt: 1:   21 sine and cosine Half Angle Formulas
  130.    wt: 1:   20 sine and cosine Double Angle Formulas
  131.    wt: 1:   17F Law of cosines
  132.    wt: 1:   17E Trig Formulas for dot and cross Products
  133.    wt: 1:   17D cis formulas for sine cosines and tangent
  134.    wt: 1:   17C sine and cosine double triple angle formulas
  135.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  136.    wt: 1:   16 Right Triangle Complementary Angle Relations
  137.    wt: 1:   15 sine cosine Complementary Angle Relations
  138.    wt: 1:   Unit Circle Development of Trigonometry
  139.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  140.    wt: 1:   14 Law of cosines
  141.    wt: 1:   13 Trig Formulas for dot and cross Products
  142.    wt: 1:   12 cis formulas for sine cosines and tangent
  143.    wt: 1:   11 sine and cosine double triple angle formulas
  144.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  145.    wt: 1:   8 Unit Circle Development of Trigonometry
  146.    wt: 1:   7 Second Way to Calculate Products
  147.    wt: 1:   5 An Easy Proof of the Distributive Law
  148.    wt: 1:   7 Trignometric Ratios Unit Circle
  149.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  150.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  151.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  152.    wt: 1:   3 Trigonometric Ratios sine and cosine
  153.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  154.    wt: 1:   Why Trigonometry the whyslopes view
  155.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  156.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  157.    wt: 1:   12 Triangles Similarity More Problems
  158.    wt: 1:   11 Triangle Similarity Missing Side Problem
  159.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  160.    wt: 1:   9 Similarity of Triangles Usual Criteria
  161.    wt: 1:   8 Similarity of Triangles and Polygons
  162.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  163.    wt: 1:   4 Similarity Definition with Coordinate
  164.    wt: 1:   1 Early Concept of Like or Similar Shapes
  165.    wt: 1:   8 Mid Point Formula
  166.    wt: 1:   3 Slope product for perpendicular lines
  167.    wt: 1:   13 Pythagorean spatial distance formulas
  168.    wt: 1:   8 Distance Between Points on a Line
  169.    wt: 1:   7 Complex Numbers Appetizer
  170.    wt: 1:   6 Polar Multiplication and Rotation
  171.    wt: 1:   5 Cartesian Addition and Translation
  172.    wt: 1:   4 Polar Coordinates to and from
  173.    wt: 1:   3 Rectangular Coordinates Review
  174.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  175.    wt: 1:   PS H Distributive Law For Complex Numbers
  176.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  177.    wt: 1:   PS E Multiplication with Polar Coordinates
  178.    wt: 1:   PS B Parallelogram Construction Methods
  179.    wt: 1:   PS A Kite Construction Methods
  180.    wt: 1:   19 Right Triangle Similarity
  181.    wt: 1:   18 Triangle Similarity Take 1
  182.    wt: 1:   17 Right Bisectors of Triangle Sides
  183.    wt: 1:   16 Angles Subtended By Chords and Diameters
  184.    wt: 1:   14 Parallel Lines Postulate
  185.    wt: 1:   10 Dropping a perpendicular to line
  186.    wt: 1:   3 Isometry of Triangles Congruence
  187.    wt: 1:   2 Correspondence between Triangles
  188.    wt: 1:   Short Course on Euclidean Geometry
  189.    wt: 1:   4 Angles on Maps Plans drawn to scale
  190.    wt: 1:   3 Lengths and Areas on Maps and Plans
  191.    wt: 1:   A Signed Number Arithmetic Review
  192.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  193.    wt: 1:   23 Distributive Law Two Derivations
  194.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  195.    wt: 1:   15 Head to Tails in place Addition Associative
  196.    wt: 1:   13 Arrows and Vectors in a Plane
  197.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  198.    wt: 1:   E Long Division Methods more
  199.    wt: 1:   D Long Division Methods
  200.    wt: 1:   C Three Decimal Subtraction Methods
  201.    wt: 1:   A Decimal Addition Columm Methods
  202.    wt: 1:   8 Column Multiplication Methods in General
  203.    wt: 1:   7 Decimals Multiplication Methods Examples
  204.    wt: 1:   6 Column Methods for Decimal Multiplication
  205.    wt: 1:   5 Distributive Law for Whole Numbers
  206.    wt: 1:   4 Commutative Law Groups Counting Form
  207.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  208.    wt: 1:   5 Triangle Area Formula Backwards
  209.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  210.    wt: 1:   1 Changing Calculations
  211.    wt: 1:   8 Coordinates for Maps and Planes
  212.    wt: 1:   4 Changing Letters
  213.    wt: 1:   1 Formulas Dependence and Function Notation
  214.    wt: 1:   4 Solving a triangular system exercise
  215.    wt: 1:   3 Solving triangular system example
  216.    wt: 1:   Using Letters for Physical Quantities
  217.    wt: 1:   Formula Usage Show Work Format
  218.    wt: 1:   13 Naming Identifying Formulas with Words
  219.    wt: 1:   8 Compound Interest Formula Evaluation
  220.    wt: 1:   7 Compound Interest Formula Introduction
  221.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  222.    wt: 1:   5 Box Volume Formula Example
  223.    wt: 1:   4 Circle Area Formula Example
  224.    wt: 1:   3 Triangle Area Formula Example
  225.    wt: 1:   2 Another Rectangle Area Formula Example
  226.    wt: 1:   9 Sets in Probability and Statistics
  227.    wt: 1:   8 Sets of Numbers
  228.    wt: 1:   7 Cautious or Safe Set Construction
  229.    wt: 1:   6 Power Set Notation
  230.    wt: 1:   4 Subset Builder Notation
  231.    wt: 1:   1 Finite Sets
  232.    wt: 1:   3 Adding Words To Arithmetic
  233.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  234.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  235.    wt: 1:   2 Least Common Multiple LCM intro via list method
  236.    wt: 1:   12 GCD 2700 288 via Prime
  237.    wt: 1:   1 Counting and Counting Methods I
  238.    wt: 1:   3 signed coordinates for maps and planes
  239.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  240.    wt: 1:   A Associative Law Theorectical Note
  241.    wt: 1:   11 Adding Integers Formulas and Examples
  242.    wt: 1:   10 Integer Multiplication Formulas
  243.    wt: 1:   23 Remainder Arithmetic Modulo 2
  244.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  245.    wt: 1:   21 Remainder Arithmetic Modulo 3
  246.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  247.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  248.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  249.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  250.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  251.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  252.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  253.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  254.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  255.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  256.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  257.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  258.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  259.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  260.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  261.    wt: 1:   5 Remainder Arithmetic Modulo 5
  262.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  263.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  264.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  265.    wt: 1:   1 Remainder Arithmetic Modulo 10
  266.    wt: 1:   7 Calculator Usage Notes and Cautions
  267.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  268.    wt: 1:   D Decimal Multiplication Methods Derived
  269.    wt: 1:   A Elementary Basis for Multiplication Methods
  270.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  271.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  272.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  273.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  274.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  275.    wt: 1:   1. Explaining Addition Table
  276.    wt: 1:   11 Place Value SI Standard International way
  277.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  278.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  279.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  280.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  281.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  282.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  283.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  284.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  285.    wt: 1:   Exact Arithmetic Wholes and Fractions
  286.    wt: 1:   Formula Evaluation how to show work
  287.    wt: 1:   5 Conversion Arithmetic
  288.    wt: 1:   Example 1. Area Between x and x squared
  289.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  290.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  291.    wt: 1:   Area Between Curves Lesson Take 2
  292.    wt: 1:   Area Between Curves Lesson Take 1
  293.    wt: 1:   A Related Material in Volume 3
  294.    wt: 1:   3 Two Chain Rule Method Exercises
  295.    wt: 1:   1 Chain Rule in Reverse Integration Method
  296.    wt: 1:   A Related lessons in Volume 3
  297.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  298.    wt: 1:   A Chain Rule Real Player video examples
  299.    wt: 1:   38 Formulas and derivatives for powers and roots
  300.    wt: 1:   33 Chain Rule Real Player video examples
  301.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  302.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  303.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  304.    wt: 1:   7 Evaluation by immediate or delayed substitution
  305.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  306.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  307.    wt: 1:   Chapter 23 Links To Trigonometry
  308.    wt: 1:   Chapter 8. Slope Interpretation
  309.    wt: 1:   Fall 1983 Calculus Appetizer
  310.    wt: 1:   Postscript More on Better Performance
  311.    wt: 1:   Postscript For Better Performance
  312.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  313.    wt: 1:   Chapter 19. Functions and Sets
  314.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  315.    wt: 1:   Solutions For Arithmetic Exercises
  316.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  317.    wt: 1:   Chapter 6 Change of Language
  318.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  319.    wt: 1:   Chapter 7 Two Treatments of Geometry
  320.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  321.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  322.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  323.    wt: 1:   Chapter 8 Change of Language
  324.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  325.    wt: 1:   M Words to extend arithmetic
  326.    wt: 1:   I. Logic and language skills
  327.    wt: 1:   Chapter 6 More Algebra and Geometry
  328.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  329.    wt: 1:   Chapter 2 Why Sets
  330.    wt: 1:   Chapter 1 Arithmetic
  331.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  332.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  333.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  334.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  335.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  336.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  337.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  338.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  339.    wt: 1:   Road Safety Questions

Extended Search

1134 matches:

  1.    wt: 9:   chapitre 07 01 principle D induction mathematique
  2.    wt: 9:   chapitre 04 06 engagements
  3.    wt: 9:   chapitre 04 05 Implication versus suggestion
  4.    wt: 9:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  5.    wt: 9:   chapitre 04 01 Premiere enigme
  6.    wt: 9:   2 Similarity By Design
  7.    wt: 9:   PS C Similarity Use Recognize it in Trigonometry
  8.    wt: 9:   2 Correspondence between Triangles
  9.    wt: 9:   Short Course on Euclidean Geometry
  10.    wt: 9:   Appendix 2 Three Decimal Subtraction Methods
  11.    wt: 9:   Appendix 1 Decimals Comparison Method Take II
  12.    wt: 9:   4 Subtraction with Conversions Borrows and Letter J
  13.    wt: 9:   2 Subtraction Easy Case Examples
  14.    wt: 8:   Construction Methods and Criteria for Isometric and Similar Triangles
  15.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  16.    wt: 8:   Appetizer A Complex Number Applet
  17.    wt: 8:   7 Trignometric Ratios Unit Circle
  18.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  19.    wt: 8:   5 Trigonometric Ratios For Tangent and Special Triangles
  20.    wt: 8:   4 Trigonometric Ratios For Two Special Triangles
  21.    wt: 8:   3 Trigonometric Ratios sine and cosine
  22.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  23.    wt: 8:   Why Trigonometry the whyslopes view
  24.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  25.    wt: 8:   10 Pythagorean plane distance formula
  26.    wt: 8:   Euclidean Geometry Elsewhere LINKS
  27.    wt: 8:   PS H Distributive Law For Complex Numbers
  28.    wt: 8:   PS F Scalar Multiplication Distributes over Addition
  29.    wt: 8:   PS E Multiplication with Polar Coordinates
  30.    wt: 8:   PS B Parallelogram Construction Methods
  31.    wt: 8:   PS A Kite Construction Methods
  32.    wt: 8:   19 Right Triangle Similarity
  33.    wt: 8:   18 Triangle Similarity Take 1
  34.    wt: 8:   17 Right Bisectors of Triangle Sides
  35.    wt: 8:   16 Angles Subtended By Chords and Diameters
  36.    wt: 8:   14 Parallel Lines Postulate
  37.    wt: 8:   10 Dropping a perpendicular to line
  38.    wt: 8:   3 Isometry of Triangles Congruence
  39.    wt: 8:   4 Angles on Maps Plans drawn to scale
  40.    wt: 8:   3 Lengths and Areas on Maps and Plans
  41.    wt: 8:   6 Why Decimal Long Division Methods Works Take I
  42.    wt: 8:   2 Division with Single Digit Divisors
  43.    wt: 8:   D Decimal Multiplication Methods Derived
  44.    wt: 8:   A Elementary Basis for Multiplication Methods
  45.    wt: 8:   2 One Digit Multipliers
  46.    wt: 8:   9 22 Minute Subtraction Review Video
  47.    wt: 8:   8 Subtraction with Units of Measure
  48.    wt: 8:   7 Subtraction for Decimal Fractions with Exercises
  49.    wt: 8:   6 Subtraction with Conversion Example with Exercises
  50.    wt: 8:   5 A Tip for Efficent Subtraction
  51.    wt: 8:   3 Harder Cases Convert to Compare and Subtract
  52.    wt: 8:   1 Comparison and Subtraction Easy Direct Cases
  53.    wt: 8:   2 Decimal Counting Practices
  54.    wt: 8:   1. Explaining Addition Table
  55.    wt: 7:   14 secant function Definition Graph and Inverse
  56.    wt: 7:   13 cosecant function Definition Graph and Inverse
  57.    wt: 7:   12 motivation for term arctan
  58.    wt: 7:   11 arctan left inverse of tangent Graph
  59.    wt: 7:   10 arctan left inverse of tangent Definition
  60.    wt: 7:   Vector and Complex Number Applet
  61.    wt: 7:   2 Graphing y=Af(x) Vertical Scaling
  62.    wt: 7:   SAS Method For Isometric Or Proportional Triangle Construction
  63.    wt: 7:   30 unit circle calculation of six trigonometric functions
  64.    wt: 7:   21 sine and cosine Half Angle Formulas
  65.    wt: 7:   Unit Circle Development of Trigonometry
  66.    wt: 7:   1 Rectangular Polar Coordinates Review
  67.    wt: 7:   8 Triangles Cascade Problem Solving
  68.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  69.    wt: 7:   12 Triangles Similarity More Problems
  70.    wt: 7:   11 Triangle Similarity Missing Side Problem
  71.    wt: 7:   9 Similarity of Triangles Usual Criteria
  72.    wt: 7:   7 Translations Rotations Reflections Dilatations
  73.    wt: 7:   6 Geometric Diagrams in Class
  74.    wt: 7:   3 Similarity by Design with coordinates
  75.    wt: 7:   13 Pythagorean spatial distance formulas
  76.    wt: 7:   8 Distance Between Points on a Line
  77.    wt: 7:   7 Complex Numbers Appetizer
  78.    wt: 7:   6 Polar Multiplication and Rotation
  79.    wt: 7:   5 Cartesian Addition and Translation
  80.    wt: 7:   4 Polar Coordinates to and from
  81.    wt: 7:   3 Rectangular Coordinates Review
  82.    wt: 7:   2 Cartesian Coordinates with signs
  83.    wt: 7:   PS G Rotation Distributes over Addition
  84.    wt: 7:   PS D Addition with Cartesian Coordinates
  85.    wt: 7:   21 Parallelograms
  86.    wt: 7:   15 Triangle Angle Sum is 180 degrees
  87.    wt: 7:   13 Angle Side Angle Failure
  88.    wt: 7:   12 Side Angle Side Failure
  89.    wt: 7:   11 Triangle Construction Fails
  90.    wt: 7:   9 Construction of a right bisector
  91.    wt: 7:   8 Isoceles Triangles
  92.    wt: 7:   7 Angle Side Angle
  93.    wt: 7:   6 Ruler and compass Angle Bisection
  94.    wt: 7:   5 Side Angle Side
  95.    wt: 7:   4 Side Side Side
  96.    wt: 7:   1 Initial Concepts and Terms
  97.    wt: 7:   A Measurement with Ruler Proper Use
  98.    wt: 7:   8 More Use of Maps Not Drawn to Scale
  99.    wt: 7:   6 Figuring with Maps Not to Scale
  100.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  101.    wt: 7:   2 Measuring Area Directly
  102.    wt: 7:   1 Length Measurement
  103.    wt: 7:   8 Compound Interest Formula Evaluation
  104.    wt: 7:   7 Compound Interest Formula Introduction
  105.    wt: 7:   6 Pythagorean Hypotenuse Calculation Example
  106.    wt: 7:   5 Box Volume Formula Example
  107.    wt: 7:   4 Circle Area Formula Example
  108.    wt: 7:   3 Triangle Area Formula Example
  109.    wt: 7:   2 Another Rectangle Area Formula Example
  110.    wt: 7:   3 Counting with Sets etc
  111.    wt: 7:   Long Division Backwards more
  112.    wt: 7:   Long Division Backward
  113.    wt: 7:   12 Why Long Division Works Take III
  114.    wt: 7:   11 Another Single Digit Divisor Example
  115.    wt: 7:   10 Division by Five Long and Short Ways
  116.    wt: 7:   9 Why Long Division Works Take II
  117.    wt: 7:   8 Correcting the Mistake
  118.    wt: 7:   7 Long Divison Mistake Catching
  119.    wt: 7:   5 Long Division Include Zeroes or not
  120.    wt: 7:   4 Division with 2 Digit Divsors
  121.    wt: 7:   3 Division Single Digit Divisor Example
  122.    wt: 7:   1 Divsion Physical Examples
  123.    wt: 7:   C Counting Areas with Powers of Ten
  124.    wt: 7:   B Powers of Ten
  125.    wt: 7:   6 Multiplication Commutes Order Not Important
  126.    wt: 7:   5 Decimal Fraction Multiplication
  127.    wt: 7:   4 Two and Three Digit Multipliers
  128.    wt: 7:   3 More One Digit Multipliers
  129.    wt: 7:   Video Decimal Multiplication Geometric View Example 2
  130.    wt: 7:   Video Decimal Multiplication Geometric View Example 2
  131.    wt: 7:   1 Why 3 times 5 gives 15
  132.    wt: 7:   Subtraction with J Conversions Example
  133.    wt: 7:   Subtraction Another Video Lesson
  134.    wt: 7:   8 What skills and work habits to require
  135.    wt: 7:   7 Adding decimal fractions using decimal point
  136.    wt: 7:   6. Counting and adding units and mixed units
  137.    wt: 7:   5. How to add decimals C. Examples
  138.    wt: 7:   4. How to add with decimals B with conversions
  139.    wt: 7:   3. How to add with decimals A sans conversions
  140.    wt: 6:   16 cotangent function Definition Graph and Inverse
  141.    wt: 6:   15 cosecant function Definition Graph and Inverse
  142.    wt: 6:   9 motivation for name arcsin
  143.    wt: 6:   8 arcsin left inverse of sine Graph
  144.    wt: 6:   7 arcsin left inverse of sine Definition
  145.    wt: 6:   6 Graph of arccos function
  146.    wt: 6:   5 Swapping Coordinates is a reflection
  147.    wt: 6:   4 possible motivation for term arccos
  148.    wt: 6:   3 Left Inverse of cosine arccos definition
  149.    wt: 6:   2 cosine function more properties
  150.    wt: 6:   1 cosine function properties
  151.    wt: 6:   9 Summary Degrees to Radians and back
  152.    wt: 6:   1 Degrees and Radians Introduction
  153.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  154.    wt: 6:   11 Component Method
  155.    wt: 6:   10 Parallelogram Addition Method
  156.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  157.    wt: 6:   2 Signed Coordinates
  158.    wt: 6:   4 graphing y=Asin(x c)
  159.    wt: 6:   3 graphing y=f(x c) plus K
  160.    wt: 6:   1 graphing y=f(x a)
  161.    wt: 6:   2 Straight Lines Slopes As Rise Over Run
  162.    wt: 6:   17 tangent function angle sum formulas
  163.    wt: 6:   26 Formulas for products of sines and cosines
  164.    wt: 6:   25 tangent double angle formula Slope connection
  165.    wt: 6:   24 tangent Angle Difference Formula
  166.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  167.    wt: 6:   20 sine and cosine Double Angle Formulas
  168.    wt: 6:   17F Law of cosines
  169.    wt: 6:   17E Trig Formulas for dot and cross Products
  170.    wt: 6:   17D cis formulas for sine cosines and tangent
  171.    wt: 6:   17C sine and cosine double triple angle formulas
  172.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  173.    wt: 6:   16 Right Triangle Complementary Angle Relations
  174.    wt: 6:   15 sine cosine Complementary Angle Relations
  175.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  176.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  177.    wt: 6:   2 Quadrant I reference Angles
  178.    wt: 6:   1 Unit Points Reflections Rotations
  179.    wt: 6:   20 N th Roots of Complex Numbers
  180.    wt: 6:   14 Law of cosines
  181.    wt: 6:   13 Trig Formulas for dot and cross Products
  182.    wt: 6:   12 cis formulas for sine cosines and tangent
  183.    wt: 6:   11 sine and cosine double triple angle formulas
  184.    wt: 6:   10 sine cosine Angle Sum Formulas via cis
  185.    wt: 6:   8 Unit Circle Development of Trigonometry
  186.    wt: 6:   7 Second Way to Calculate Products
  187.    wt: 6:   5 An Easy Proof of the Distributive Law
  188.    wt: 6:   2 Complex Numbers made easier we hope
  189.    wt: 6:   1 Angle Measurement with Degrees
  190.    wt: 6:   10 Similarity of Triangles Equivalent of Two Criteria
  191.    wt: 6:   8 Similarity of Triangles and Polygons
  192.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  193.    wt: 6:   4 Similarity Definition with Coordinate
  194.    wt: 6:   1 Early Concept of Like or Similar Shapes
  195.    wt: 6:   8 Mid Point Formula
  196.    wt: 6:   3 Slope product for perpendicular lines
  197.    wt: 6:   2 point slope equation for a line
  198.    wt: 6:   What is and is not here
  199.    wt: 6:   12 Spatial Coordinates
  200.    wt: 6:   11 Triangle Inequality
  201.    wt: 6:   9 Pythagorean Theorem Chinese Square Proof
  202.    wt: 6:   1 Cartesian Coordinates sans signs
  203.    wt: 6:   9 Circle Area and Perimeter Formula Backwards Forwards
  204.    wt: 6:   2 Three Examples
  205.    wt: 6:   13 Naming Identifying Formulas with Words
  206.    wt: 6:   9 Volume of Cone
  207.    wt: 6:   1 Written work formats for developing and showing skill
  208.    wt: 6:   10 Set View of Wordy Extensions To Arithmetic
  209.    wt: 6:   9 Sets in Probability and Statistics
  210.    wt: 6:   8 Sets of Numbers
  211.    wt: 6:   7 Cautious or Safe Set Construction
  212.    wt: 6:   6 Power Set Notation
  213.    wt: 6:   4 Subset Builder Notation
  214.    wt: 6:   1 Finite Sets
  215.    wt: 6:   A Decimals Modular and Remainder Arithmetic
  216.    wt: 6:   Division with Counts and Length
  217.    wt: 6:   Long Division forwards and backwards Example 3
  218.    wt: 6:   Long Division forwards and backwards Example 2
  219.    wt: 6:   Long Division forwards and backwards Example 1
  220.    wt: 6:   Video Power Notation in Decimal Expansion
  221.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  222.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  223.    wt: 6:   5 Conversion Arithmetic
  224.    wt: 6:   2 Motivation for Limit Definition Take 1
  225.    wt: 6:   1 Fall 1983 Why Slopes Appetizer
  226.    wt: 5:   8 Radian Measures of Common Angles
  227.    wt: 5:   7 Radian Measures in special Triangles
  228.    wt: 5:   6 Radian Measure to Degrees
  229.    wt: 5:   5 Degrees to Radian Measure
  230.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  231.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  232.    wt: 5:   2 Radian Measure Numerical Value of one degree
  233.    wt: 5:   A Global Time and Navigation
  234.    wt: 5:   15 Dot and Cross Product
  235.    wt: 5:   13 Velocity Vectors in Physics
  236.    wt: 5:   12 From Applied To Pure Mathematics
  237.    wt: 5:   9 Head to Tail Coordinate View
  238.    wt: 5:   8 Parallel Vectors
  239.    wt: 5:   6 Vectors with Coordinates
  240.    wt: 5:   5 Head To Tail Arrow Addition
  241.    wt: 5:   4 Resultant of a Sum of Movements
  242.    wt: 5:   3 Navigation with Arrows or Vectors
  243.    wt: 5:   1 Unsigned Coordinates
  244.    wt: 5:   Parallel Lines and Parallel Transversals
  245.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  246.    wt: 5:   Triangle Angles Sum To 180 Degrees
  247.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  248.    wt: 5:   Parallel Lines and Interior Angles
  249.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  250.    wt: 5:   Straight Lines ASA Intersection Study More
  251.    wt: 5:   Straight Lines ASA Intersection Study
  252.    wt: 5:   Straight Lines Instersection Solving Equations
  253.    wt: 5:   Straight Lines Intersection of
  254.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  255.    wt: 5:   C Straight Lines Slope from Coordinates
  256.    wt: 5:   B Straight Line Slope Scaling Properties More
  257.    wt: 5:   A Straight Line Slope Scaling Properties
  258.    wt: 5:   14 Straight Lines Equations General Case
  259.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  260.    wt: 5:   12 Straight Lines Graphing mx plus b
  261.    wt: 5:   11 Straight Lines Graphing y=mx
  262.    wt: 5:   10 Straight Lines through Origin Equations More
  263.    wt: 5:   9 Straight Lines through Origin Equations
  264.    wt: 5:   8 Straight Lines Equation for vertical
  265.    wt: 5:   7 Tangent Function is odd on this domain
  266.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  267.    wt: 5:   5 Tangent Function Graph
  268.    wt: 5:   4 Tangent Function Properties
  269.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  270.    wt: 5:   1 Straight Lines Slope Concept
  271.    wt: 5:   35 sines and cosines of 2A 3A 4A 5A
  272.    wt: 5:   34 sines and cosines of 2A 3A 4A 5A
  273.    wt: 5:   33 sines and cosines of 2A 3A 4A 5A
  274.    wt: 5:   32 seven rows of pascals triangle
  275.    wt: 5:   31 basic secant cosecant cotangent trig identities
  276.    wt: 5:   29 secant cosecant and cotangent for acute angles
  277.    wt: 5:   28 Expressing products of sines cosines as sums
  278.    wt: 5:   27 Logarithmic use of products of sines and cosines
  279.    wt: 5:   23 sine and cosine of 180 plus 22.5 degrees
  280.    wt: 5:   19 Pythagorean Identity For sine and cosine functions
  281.    wt: 5:   18 sum of sinusoidal waves as a single wave
  282.    wt: 5:   17G Pythagorean Theorem Converse
  283.    wt: 5:   17A The complex number valued trig function cis
  284.    wt: 5:   14 cosine even and sine and tangent are odd
  285.    wt: 5:   13 Graph of tangent function many periods
  286.    wt: 5:   12 Graph of tangent function for one period
  287.    wt: 5:   11 tangent function undefined when terminal side vertical
  288.    wt: 5:   10 Graphs of sines and cosines many periods
  289.    wt: 5:   9 Graphs of sine and cosine over one period
  290.    wt: 5:   8 period of tangent function
  291.    wt: 5:   7 period of sine and cosine
  292.    wt: 5:   6 sines and cosines for reference angle 30 degrees
  293.    wt: 5:   4 sines and cosines for reference angle 45 degrees
  294.    wt: 5:   21 Logarithms Powers and Exponentials
  295.    wt: 5:   19 N th Roots of Unity
  296.    wt: 5:   18 Sixth Roots of Unity
  297.    wt: 5:   17 Cube Roots of unity
  298.    wt: 5:   16 References and Originality Question
  299.    wt: 5:   15 Pythagorean Theorem Converse
  300.    wt: 5:   9 The complex number valued trig function cis
  301.    wt: 5:   6 Field Properties of Complex Number
  302.    wt: 5:   4 Multiplication Properties
  303.    wt: 5:   3 Addition Properties
  304.    wt: 5:   Four Simple Exercises
  305.    wt: 5:   12 Links Lessons elsewhere
  306.    wt: 5:   11 A Partial Summary
  307.    wt: 5:   10 Midpoint of [a b] and [b a]
  308.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  309.    wt: 5:   7 Exercises to test skill and concept mastery
  310.    wt: 5:   6 Intersection of lines by solving linear systems
  311.    wt: 5:   5 Algebraic View of Slopes
  312.    wt: 5:   4 Equations for lines three forms
  313.    wt: 5:   1 Numerical view of lines and their equations
  314.    wt: 5:   About Folder Contents
  315.    wt: 5:   A Modular and Remainder Arithmetic
  316.    wt: 5:   24 Signed Numbers Arithmmetic Properties
  317.    wt: 5:   23 Distributive Law Two Derivations
  318.    wt: 5:   E Long Division Methods more
  319.    wt: 5:   D Long Division Methods
  320.    wt: 5:   C Three Decimal Subtraction Methods
  321.    wt: 5:   A Decimal Addition Columm Methods
  322.    wt: 5:   8 Column Multiplication Methods in General
  323.    wt: 5:   7 Decimals Multiplication Methods Examples
  324.    wt: 5:   6 Column Methods for Decimal Multiplication
  325.    wt: 5:   5 Distributive Law for Whole Numbers
  326.    wt: 5:   4 Commutative Law Groups Counting Form
  327.    wt: 5:   2 Combing Counts Addition Skills and Principles
  328.    wt: 5:   1 Decimals Modular and Remainder Arithmetic
  329.    wt: 5:   8 Pythagorean Relation Forwards Backwards
  330.    wt: 5:   5 Triangle Area Formula Backwards
  331.    wt: 5:   4 Rectangle Area and Like Formulas Backwards
  332.    wt: 5:   1 Changing Calculations
  333.    wt: 5:   3 Geometric Formulas and Function Notation
  334.    wt: 5:   2 GE II Comparison
  335.    wt: 5:   4 Solving a triangular system exercise
  336.    wt: 5:   3 Solving triangular system example
  337.    wt: 5:   2 Essentially one exercises three with solution
  338.    wt: 5:   6 Algebraic Solution Example
  339.    wt: 5:   5 Algebraic Solutions Introduction
  340.    wt: 5:   4 Four Examples Fractional Coefficients
  341.    wt: 5:   3 Four Examples
  342.    wt: 5:   1 Proper Equal Sign Usage
  343.    wt: 5:   2 Three Examples
  344.    wt: 5:   Formula Usage Show Work Format
  345.    wt: 5:   12 Cone Cylinder Sphere Lesson Idea
  346.    wt: 5:   11 Volume of Sphere
  347.    wt: 5:   10 Volume of Pyramid
  348.    wt: 5:   5 Product Builder Notation
  349.    wt: 5:   2 Venn Diagrams
  350.    wt: 5:   3 signed coordinates for maps and planes
  351.    wt: 5:   2 signed and unsigned numbers as coordinates
  352.    wt: 5:   A Similarities between Fractions and Two Term Ratios
  353.    wt: 5:   23 Remainder Arithmetic Modulo 2
  354.    wt: 5:   22 Remainder Arithmetic Modulo 3 more
  355.    wt: 5:   21 Remainder Arithmetic Modulo 3
  356.    wt: 5:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  357.    wt: 5:   19 Remainder Arithmetic Rule of 9 for checking sums III
  358.    wt: 5:   18 Remainder Arithmetic Rule of 9 for checking sums II
  359.    wt: 5:   17 Remainder Arithmetic Rule of 9 for checking sums I
  360.    wt: 5:   16 Remainder Arithmetic Modulo 9 Example 2
  361.    wt: 5:   15 Remainder Arithmetic Modulo 9 Example
  362.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  363.    wt: 5:   13 Remainder Arithmetic Modulo 5 Example
  364.    wt: 5:   12 Remainder Arithmetic Modulo 10 Example
  365.    wt: 5:   11 Remainder Arithmetic Long Division by 5 Quickly more
  366.    wt: 5:   10 Remainder Arithmetic Long Division by 5 Quickly
  367.    wt: 5:   9 Remainder Arithmetic Divisibility by 5
  368.    wt: 5:   8 Remainder Arithmetic Morulo 5 Examples II
  369.    wt: 5:   7 Remainder Arithmetic Modulo 5 Examples I
  370.    wt: 5:   6 Remainder Arithmetic Modulo 5 Propertie
  371.    wt: 5:   5 Remainder Arithmetic Modulo 5
  372.    wt: 5:   4 Remainder Arithmetic Modulo 10 in general
  373.    wt: 5:   3 Remainder Arithmetic Modulos 10 more still
  374.    wt: 5:   2 Remainder Arithmetic Modulo 10 more
  375.    wt: 5:   1 Remainder Arithmetic Modulo 10
  376.    wt: 5:   9 Place Value Review Decimal form of Avogrados number included
  377.    wt: 5:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  378.    wt: 5:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  379.    wt: 5:   5 More on Groups of 3 Place Value in Decimal Fractions
  380.    wt: 5:   4 Groups of 3 Place Value in Decimal Fractions
  381.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  382.    wt: 5:   1 Place Value in Three Digit Whole Numbers
  383.    wt: 5:   9 Comparison and Subtraction of Time Intervals
  384.    wt: 5:   8 Addition of Time Intervals via subtotaling
  385.    wt: 5:   7 Addition of Time Intervals
  386.    wt: 5:   6 How long is a million seconds
  387.    wt: 5:   4 Mixing and Changing Units of Time
  388.    wt: 5:   3 Units and Lengths of Time
  389.    wt: 5:   2 Time and Date Matters in School
  390.    wt: 5:   1 Intro of Kids To Time Date Skills
  391.    wt: 5:   Area Between Crossing Curves Lesson Take 1
  392.    wt: 5:   Area Between Curves Lesson Take 2
  393.    wt: 5:   Summary
  394.    wt: 5:   1 Chain Rule in Reverse Integration Method
  395.    wt: 5:   1 Two cubic sketching exercises with 1st derivative
  396.    wt: 5:   A Chain Rule Real Player video examples
  397.    wt: 5:   38 Formulas and derivatives for powers and roots
  398.    wt: 5:   36 Cube root derivative animated
  399.    wt: 5:   33 Chain Rule Real Player video examples
  400.    wt: 5:   29 Chain Rule Optional Reading
  401.    wt: 5:   28 Chain Rule Preparation for a Proof
  402.    wt: 5:   27 Chain Rule sinusoidal outer inner functions EGS
  403.    wt: 5:   26 Chain Rule Recognising outer inner functions
  404.    wt: 5:   23 Chain Rule in general
  405.    wt: 5:   22 Chain Rule for polynomials
  406.    wt: 5:   21 Chain Rule for powers
  407.    wt: 5:   18 Chain Rule Introduction
  408.    wt: 5:   15 sine and cosine derivatives 3rd step
  409.    wt: 5:   12 Quotient rule examples
  410.    wt: 5:   11 Quotient rule
  411.    wt: 5:   10 Power rule for negative integers
  412.    wt: 5:   9 Reciprocal rule
  413.    wt: 5:   8 Differentiation of polynomials
  414.    wt: 5:   7 Animated Differentiation Examples
  415.    wt: 5:   6 Power rule from product rule
  416.    wt: 5:   5 Product Rule
  417.    wt: 5:   4 Sum Rule
  418.    wt: 5:   3 Motivation for Limit Definition Take 2
  419.    wt: 4:   Appendix 2 primary school Arithmetic 01
  420.    wt: 4:   K LAMP Musings Science Education
  421.    wt: 4:   J LAMP Introduction Extrinsic Origins
  422.    wt: 4:   I LAMP Introduction Study Habits
  423.    wt: 4:   H LAMP Introduction Instructional Concepts
  424.    wt: 4:   G LAMP Introduction Problem Solving Skills
  425.    wt: 4:   F LAMP Introduction Prerequisites
  426.    wt: 4:   E LAMP Introduction Modern Mathematics
  427.    wt: 4:   C LAMP Introduction Culture in Mathematics Education
  428.    wt: 4:   B LAMP Introduction Curriculum Development Standards
  429.    wt: 4:   8 analytic geometry etc
  430.    wt: 4:   2 arithmetic with signed numbers
  431.    wt: 4:   problemes algebre et arithmetique
  432.    wt: 4:   2 Conductance Resistance Duality02
  433.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take IV
  434.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take III
  435.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take II
  436.    wt: 4:   23 Modularized Skill Development Modularized Rigor
  437.    wt: 4:   21 Graphs of functions given by Horizontal Line Method
  438.    wt: 4:   9 Set theory term relation possible origins
  439.    wt: 4:   8 Set view of relations and functions
  440.    wt: 4:   Quadratics in 10 steps
  441.    wt: 4:   A Signed Number Arithmetic Review
  442.    wt: 4:   26 More Less Greater Than Comparison
  443.    wt: 4:   25 Mid way Convergence to Axiomatic Approach
  444.    wt: 4:   22 Multiplication of Signed Numbers
  445.    wt: 4:   21 Addition of Multiples of a Single Vector
  446.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  447.    wt: 4:   18 Geometrically Why Vector Addition Commutes
  448.    wt: 4:   15 Head to Tails in place Addition Associative
  449.    wt: 4:   13 Arrows and Vectors in a Plane
  450.    wt: 4:   7 Arithmetic with Infinite Decimal Expansions
  451.    wt: 4:   2 Counting Digits in Decimal Multiplication
  452.    wt: 4:   B Decimal Comparison and Subtraction
  453.    wt: 4:   3 Multiplicative Counting Skills Principles
  454.    wt: 4:   1 The Counting Origins of Numbers
  455.    wt: 4:   2 Algebraic View
  456.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  457.    wt: 4:   6 Compound Interest Forward and Backwards
  458.    wt: 4:   3 Linear Equation Literal Solution More
  459.    wt: 4:   2 Linear Equation Literal Solution
  460.    wt: 4:   6 Equations and Systems Equivalent or Implied
  461.    wt: 4:   5 Equality in Algebra
  462.    wt: 4:   4 Subtraction and Division Axioms
  463.    wt: 4:   3 Product Axioms Two Forms
  464.    wt: 4:   2 Addition and Multiplication Axioms
  465.    wt: 4:   1 Equivalent Computation Rules
  466.    wt: 4:   5 Greater More Less Than Signs in General
  467.    wt: 4:   4 Comparison of Negative Numbers
  468.    wt: 4:   3 More and Less Than with Unlike Signs
  469.    wt: 4:   2 More and Less Than for Counts and Measures
  470.    wt: 4:   1 Real Numbers Comparison
  471.    wt: 4:   8 Coordinates for Maps and Planes
  472.    wt: 4:   5 Rational Numbers More
  473.    wt: 4:   4 Rational Numbers
  474.    wt: 4:   3 Fractions
  475.    wt: 4:   2 Integers
  476.    wt: 4:   1 Whole and Natural Numbers
  477.    wt: 4:   4 Changing Letters
  478.    wt: 4:   1 Formulas Dependence and Function Notation
  479.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  480.    wt: 4:   4 GE III Animated Examples
  481.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  482.    wt: 4:   3 GE III Equation Addition and Multiplication
  483.    wt: 4:   1 GE Substitution four examples
  484.    wt: 4:   1 Essentially One Unknown
  485.    wt: 4:   Skill Development Notes
  486.    wt: 4:   10 One Example
  487.    wt: 4:   9 Three Examples
  488.    wt: 4:   8 One Example
  489.    wt: 4:   7 Two Examples
  490.    wt: 4:   6 Three Examples
  491.    wt: 4:   5 Three Examples
  492.    wt: 4:   4 Two Examples
  493.    wt: 4:   3 Two Examples
  494.    wt: 4:   Using Letters for Physical Quantities
  495.    wt: 4:   2 More and Less Than with Unlike Signs
  496.    wt: 4:   1 Counting and Counting Methods I
  497.    wt: 4:   10 dividing signed numbers
  498.    wt: 4:   9 subtracting signed numbers
  499.    wt: 4:   8 multiplying signed numbers
  500.    wt: 4:   7 negative and additive inverse
  501.    wt: 4:   6 adding signed numbers
  502.    wt: 4:   5 lengths and signs of numbers
  503.    wt: 4:   4 signed coordinates for regions in space
  504.    wt: 4:   C Divisibility by 11 Integer Recognition Method
  505.    wt: 4:   A Associative Law Theorectical Note
  506.    wt: 4:   11 Adding Integers Formulas and Examples
  507.    wt: 4:   10 Integer Multiplication Formulas
  508.    wt: 4:   2 Integers Multiplies of a Unit Moverment
  509.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  510.    wt: 4:   20 Uniqueness of Prime Factorization
  511.    wt: 4:   7 Calculator Usage Notes and Cautions
  512.    wt: 4:   2 Prime and Composites less than 16
  513.    wt: 4:   11 Place Value SI Standard International way
  514.    wt: 4:   10 Names for Big Numbers and Powers of Ten Expansion
  515.    wt: 4:   8 Review Lesson 1 2 4 and 6 All in One
  516.    wt: 4:   Practical Methods Ends and Values for Arithmetic
  517.    wt: 4:   016 Numbering Occidental Calendar Days
  518.    wt: 4:   015 School and work day counting tables
  519.    wt: 4:   014 Counting Days with Calendars
  520.    wt: 4:   013 Travel Time Tables
  521.    wt: 4:   012 Division of Time Intervals by Time Intervals
  522.    wt: 4:   011 Division of Time Intervals By Numbers
  523.    wt: 4:   010 Repeated Addition of Time Intervals
  524.    wt: 4:   Volume of Solid by Cross Sections Lesson
  525.    wt: 4:   Example 1. Area Between x and x squared
  526.    wt: 4:   Area Between Crossing Curves Lesson Take 2
  527.    wt: 4:   Example 1
  528.    wt: 4:   Area Between Curves Lesson Take 1
  529.    wt: 4:   A Related Material in Volume 3
  530.    wt: 4:   3 Two Chain Rule Method Exercises
  531.    wt: 4:   34 Derivative of exponential function
  532.    wt: 4:   31 Derivatives of inverse functions
  533.    wt: 4:   30Chain Rule A Proof
  534.    wt: 4:   25 Chain Rule Animated Examples Continued
  535.    wt: 4:   24 Chain Rule Animated Examples
  536.    wt: 4:   20 Chain Rule for Pulley Systems
  537.    wt: 4:   19 Chain Rule for linear functions
  538.    wt: 4:   17 Derivatives of quotients of sine and cosine
  539.    wt: 4:   16 Derivatives of reciprocals of sine and cosine
  540.    wt: 4:   14 sine and cosine derivatives 2nd step
  541.    wt: 4:   13 sine and cosine derivatives 1st step
  542.    wt: 4:   7 Evaluation by immediate or delayed substitution
  543.    wt: 4:   2 Algebraic codification
  544.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  545.    wt: 4:   Chapter 2 Why Sets
  546.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  547.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  548.    wt: 3:   Appendix 1 primary and preschool mathematic
  549.    wt: 3:   A Introduction Objectives
  550.    wt: 3:   Skills Chapter 2 Geometry
  551.    wt: 3:   Skills Chapter 1 Arithmetic
  552.    wt: 3:   Skills Chapter 0 Introduction
  553.    wt: 3:   9 combinatorics probability sets
  554.    wt: 3:   6 polynomials etc
  555.    wt: 3:   5 logarithms and exponentials etc
  556.    wt: 3:   3 Euclidean Geometry Leanly
  557.    wt: 3:   1 arithmetic with unsigned numbers
  558.    wt: 3:   What is POMME
  559.    wt: 3:   Applied Maths Program14092009 POMME variant
  560.    wt: 3:   About site lesson plans
  561.    wt: 3:   How to be a better instructor
  562.    wt: 3:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  563.    wt: 3:   2 Energy Power Heat07
  564.    wt: 3:   B Energy Power02
  565.    wt: 3:   D Wire Resistance Calculation02
  566.    wt: 3:   H Series Circuit02
  567.    wt: 3:   E Kirchoffs Second Law
  568.    wt: 3:   D Kirchoff First Law
  569.    wt: 3:   C Electromotive force conventional current02
  570.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  571.    wt: 3:   17 Math Booklets for children and young teenagers
  572.    wt: 3:   2 Reading and Writing Skills
  573.    wt: 3:   Ages 12 to 14 Geometry
  574.    wt: 3:   Ages 12 to 14 Arithmetic
  575.    wt: 3:   Ages 10 to 12 Geometry
  576.    wt: 3:   Ages 10 to 12 Arithmetic
  577.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  578.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  579.    wt: 3:   26 Function definitions done and coming
  580.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  581.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  582.    wt: 3:   23 Inverse Functions
  583.    wt: 3:   22 Square Root function graphically
  584.    wt: 3:   20 Interchanging coordinates a reflection
  585.    wt: 3:   6 Set Existence Formation and Notation
  586.    wt: 3:   5 Function notation for geometric transformations
  587.    wt: 3:   3 Formula or function graphing exercise
  588.    wt: 3:   2 Algebraic use of function notation
  589.    wt: 3:   1 Geometric Introduction of Function Notation
  590.    wt: 3:   Introduction Reading Guide
  591.    wt: 3:   A Quadratics Summary
  592.    wt: 3:   8 quadratics backward use of various formulas
  593.    wt: 3:   7 quadratic formulla derivation
  594.    wt: 3:   5 quadratics completing the square
  595.    wt: 3:   2 quadratics graphing in general
  596.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  597.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  598.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  599.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  600.    wt: 3:   5 Natural Logarithm Calculator Exercises
  601.    wt: 3:   2 Square Root Simplification a prequel
  602.    wt: 3:   1 Calculator Starter Exercises
  603.    wt: 3:   2 Column Multiplication Method
  604.    wt: 3:   19 Signed Multiples of Vectors
  605.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  606.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  607.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  608.    wt: 3:   12 Real Numbers Line Signed Coordinates
  609.    wt: 3:   11 Signed Number Addition and Addition Properties
  610.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  611.    wt: 3:   9 Division with Digits after Decimal Point
  612.    wt: 3:   8 Division and Mulplication of Compound Fractions
  613.    wt: 3:   6 Infinite Decimals Ending in 9 repeating
  614.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  615.    wt: 3:   4 Location of Point in Decimal Addition
  616.    wt: 3:   3 Location of Point in Decimal Multiplication
  617.    wt: 3:   1 Fractions with Finite Decimal Expansions
  618.    wt: 3:   5 Areas of Rectangles Revisited
  619.    wt: 3:   4 Fraction Operations Axiomatic Development
  620.    wt: 3:   3 Inequalities Algebraically
  621.    wt: 3:   2 Fraction Operations Physical Development
  622.    wt: 3:   5 Proportionality in Equivalent Fractions
  623.    wt: 3:   4 Rates Ratios and Proporitionality
  624.    wt: 3:   3 Proportionality Examples
  625.    wt: 3:   1 What is Proportionality
  626.    wt: 3:   16 Real Numbers Comparison
  627.    wt: 3:   15 Real Number Division
  628.    wt: 3:   14 Real Number Multiplication
  629.    wt: 3:   13 Real Number Subtraction
  630.    wt: 3:   12 Real Number Additive Inverses or Negatives
  631.    wt: 3:   11 Real Number Addition
  632.    wt: 3:   10 Real Number Lengths and Signs
  633.    wt: 3:   9 Coordinates for Regions in Space
  634.    wt: 3:   7 Real Numbers as Line Cordinates
  635.    wt: 3:   6 Unsigned Real Numbers
  636.    wt: 3:   5 Independent versus Dependent Variables
  637.    wt: 3:   2 Computation Rules Evaluation
  638.    wt: 3:   More Exercises
  639.    wt: 3:   3 Adding Words To Arithmetic
  640.    wt: 3:   About Folder Contents
  641.    wt: 3:   arithmetic videos Real Player Format
  642.    wt: 3:   4 Greater More Less Than Signs in General
  643.    wt: 3:   3 Comparison of Negative Numbers
  644.    wt: 3:   1 More and Less Than for Counts and Measures
  645.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  646.    wt: 3:   4 Counting with Trees Product Rule Take I
  647.    wt: 3:   3 Counting with Tables and Trees II
  648.    wt: 3:   2 Counting with Tables and Trees I
  649.    wt: 3:   11 What are real lengths and numbers
  650.    wt: 3:   7 Converting or Changing Units
  651.    wt: 3:   6 Simplification of Fractions with Units
  652.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  653.    wt: 3:   4 Fractions with Units
  654.    wt: 3:   3 Multiplying Units and Numbers
  655.    wt: 3:   2 Equality and Units
  656.    wt: 3:   1 Addition and Subtraction with Units
  657.    wt: 3:   D Three Term Ratios
  658.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  659.    wt: 3:   B Fractions and Two Term Ratios
  660.    wt: 3:   2 Unit Fraction Multiplication
  661.    wt: 3:   D Remainders Modulo 11 Pair Rule
  662.    wt: 3:   B Integer Long Division Multiple Choices
  663.    wt: 3:   13 Subtraction with Additive Inverse
  664.    wt: 3:   12 Adding Integers More Examples
  665.    wt: 3:   9 Multiplying Integers
  666.    wt: 3:   8 Multiplication by Signed Numbers Integers
  667.    wt: 3:   7 Multiplication by Signs
  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:   1 Integers as Coordinates
  673.    wt: 3:   26 Divisibility by 2 3 5 Example
  674.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  675.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  676.    wt: 3:   19 video Prime Factorization Unique
  677.    wt: 3:   18 video Count Factors given Prime Factorization
  678.    wt: 3:   17 Identify and Count Factors using Primes
  679.    wt: 3:   16 video Factors of 980 using prime
  680.    wt: 3:   15 video Factors of 20 using Prime Factorization
  681.    wt: 3:   14 video Factors of 24 Take II
  682.    wt: 3:   13 video Factors of 24 using prime
  683.    wt: 3:   12 LCD GCD and LCM using Primes
  684.    wt: 3:   11 Efficient Square Rule Use
  685.    wt: 3:   10 video Prime Factorization upto 23 squared
  686.    wt: 3:   9 video Prime Factorization upto 19 squared
  687.    wt: 3:   8 video Prime Factorization upto 19
  688.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  689.    wt: 3:   5 Prime Factorization and a Square Rule
  690.    wt: 3:   4 video Prime Factorization Introduction
  691.    wt: 3:   3 video Primes and Composites from 9 times table
  692.    wt: 3:   1 video how Products are bigger than factor
  693.    wt: 3:   Exact Arithmetic Wholes and Fractions
  694.    wt: 3:   Formula Evaluation how to show work
  695.    wt: 3:   About folder contents
  696.    wt: 3:   Example 2 volume of a cone
  697.    wt: 3:   Example 1 volume of a pyramid
  698.    wt: 3:   Example 4 with x function of y
  699.    wt: 3:   Example 3
  700.    wt: 3:   Example 2
  701.    wt: 3:   5 Area Under Curve Exercise
  702.    wt: 3:   4 Definite Integrals Evaluation Exercises
  703.    wt: 3:   2 Indefinite Integrals Exercises
  704.    wt: 3:   A Related lessons in Volume 3
  705.    wt: 3:   4 Second derivative test exercise example
  706.    wt: 3:   3 Second derivative test
  707.    wt: 3:   2 Second derivative test prequel
  708.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  709.    wt: 3:   12 Limits with Parameters and Derivatives Take I
  710.    wt: 3:   9 Limits Continuity and Composition
  711.    wt: 3:   8 Four Animated Examples
  712.    wt: 3:   6 Continuity at a point
  713.    wt: 3:   5 Jumps and absence of unlimited error control
  714.    wt: 3:   4 Numerical properties
  715.    wt: 3:   3 Decimal insights for limits continuity convergence
  716.    wt: 3:   1 Numerical introduction
  717.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  718.    wt: 3:   Fall 1983 Calculus Appetizer
  719.    wt: 3:   Chapter 10 Describing and Changing Calculations
  720.    wt: 3:   Postscript D Reflections on Law of the Excluded Middle
  721.    wt: 3:   Chapter 20 Shorthand Symbols as Pronouns
  722.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  723.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  724.    wt: 3:   Chapter 10 Responsibility
  725.    wt: 3:   Chapter 8 Change of Language
  726.    wt: 3:   Chapter 2 Skill Development
  727.    wt: 3:   Three Remarks
  728.    wt: 3:   Foreword
  729.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  730.    wt: 3:   M Words to extend arithmetic
  731.    wt: 3:   I. Logic and language skills
  732.    wt: 3:   B. Domino effect of errors
  733.    wt: 3:   How to Build Skills and Confidence
  734.    wt: 3:   Chapter 6 More Algebra and Geometry
  735.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  736.    wt: 3:   Chapter 1 Arithmetic
  737.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  738.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  739.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  740.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  741.    wt: 2:   Skills Chapter 5 Calculus
  742.    wt: 2:   Skills Chapter 4 Logic
  743.    wt: 2:   Ramblings Extrinsic numbers theory
  744.    wt: 2:   Ramblings Introduction Algebra Essay
  745.    wt: 2:   Skills Chapter 3 Algebra
  746.    wt: 2:   11 pure mathematics
  747.    wt: 2:   10 statistics
  748.    wt: 2:   7 logic review and decimals an odd combination
  749.    wt: 2:   4 algebra
  750.    wt: 2:   why bother
  751.    wt: 2:   website reviews
  752.    wt: 2:   three goals to set for students
  753.    wt: 2:   links Education Resources online
  754.    wt: 2:   teacher certification
  755.    wt: 2:   what should be learnt and When
  756.    wt: 2:   Postscript 2007 01 10
  757.    wt: 2:   five decades make a difference
  758.    wt: 2:   Maps Plans Drawings
  759.    wt: 2:   how letters appear
  760.    wt: 2:   Secondary Two Mathematics
  761.    wt: 2:   geometric implications for algebra
  762.    wt: 2:   Lessening Algebra Difficulties
  763.    wt: 2:   the trouble with algebra
  764.    wt: 2:   three goals for Mathematics Education
  765.    wt: 2:   02 21 words for teachers
  766.    wt: 2:   02 20 mathematics education references
  767.    wt: 2:   three kinds of reason in mathematics
  768.    wt: 2:   Four ways to improve education reform
  769.    wt: 2:   Motivation and Context Problem
  770.    wt: 2:   need for a mixed mathematics curriculum
  771.    wt: 2:   Leaner mathematics curriculum
  772.    wt: 2:   Prequel In For A Penny In For A Pound
  773.    wt: 2:   education an empirical art
  774.    wt: 2:   fairness and inductive principles for instruction
  775.    wt: 2:   words for mathematics instructor
  776.    wt: 2:   liens
  777.    wt: 2:   Trois Notions qui menent a algebre
  778.    wt: 2:   deux definitions pour variable
  779.    wt: 2:   logique deux enigme
  780.    wt: 2:   4 Energy Power Heat09
  781.    wt: 2:   3 Energy Power Heat08
  782.    wt: 2:   1 Energy Power Heat06
  783.    wt: 2:   E Energy Power05
  784.    wt: 2:   D Energy Power04
  785.    wt: 2:   C Energy Power03
  786.    wt: 2:   A Energy Power01
  787.    wt: 2:   F Wire Resistance Calculation04
  788.    wt: 2:   E Wire Resistance Calculation03
  789.    wt: 2:   C Wire Resistance Calculation01
  790.    wt: 2:   B Wire Resistance Qualitative02
  791.    wt: 2:   1 Like resistors in series
  792.    wt: 2:   G Series Circuit01
  793.    wt: 2:   F Unlike Resistors in Series
  794.    wt: 2:   B Electromotive force conventional current01
  795.    wt: 2:   A Circuit Elements
  796.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  797.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  798.    wt: 2:   24 Standards For Skill Develoment Take II
  799.    wt: 2:   24 Standards For Skill Develoment
  800.    wt: 2:   22 Student Centered Highschool Mathematics
  801.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  802.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  803.    wt: 2:   18 Primary School Mathematics
  804.    wt: 2:   16 Secondary Mathematics Tips
  805.    wt: 2:   15 Counting For Parents
  806.    wt: 2:   14 Multiplication and Times Tables
  807.    wt: 2:   13 Addition and Addition Tables
  808.    wt: 2:   12 Goals and Objectives For Mathematics
  809.    wt: 2:   11 Help and Defend Your Child or Teens Education
  810.    wt: 2:   10 Ends values for work study instruction
  811.    wt: 2:   9 Streaming by Student Cooperation
  812.    wt: 2:   8 The Effect of Negative Remarks
  813.    wt: 2:   7 Student Motivation
  814.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  815.    wt: 2:   5 Patience Please for Yourself and Your Charges
  816.    wt: 2:   4 Learning Takes Time and Effort
  817.    wt: 2:   3 Preparing for Science Studies
  818.    wt: 2:   1 Speaking Skills
  819.    wt: 2:   Ages 12 to 14 Skills with take home value
  820.    wt: 2:   Ages 9 to 10
  821.    wt: 2:   Ages 8 to 9
  822.    wt: 2:   Ages 7 to 8
  823.    wt: 2:   Ages 6 to 7
  824.    wt: 2:   Ages 4 plus to 5 plus
  825.    wt: 2:   Ages 3 plus to 4 plus
  826.    wt: 2:   sign monoticity analysis example 4
  827.    wt: 2:   sign monoticity analysis example 3
  828.    wt: 2:   sign monoticity analysis example 2
  829.    wt: 2:   sign monoticity analysis example 1
  830.    wt: 2:   19 Horizontal line rule and method
  831.    wt: 2:   18 Vertical Line Rule and Method
  832.    wt: 2:   11 Function Domain Range Source and Targets
  833.    wt: 2:   10 Interval Notation
  834.    wt: 2:   7 Functions with finite domains
  835.    wt: 2:   4 Function notation in and beyond mathematics
  836.    wt: 2:   10 quadratic exercises
  837.    wt: 2:   9 quadratics physical and further context
  838.    wt: 2:   6 quadratics numerical approach
  839.    wt: 2:   4 quadratics difference of two squares
  840.    wt: 2:   3 quadratics factoring by inspection
  841.    wt: 2:   1 quadratics graphing exercises
  842.    wt: 2:   10 Exponential Growth and Decay Models
  843.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  844.    wt: 2:   1 Polynomials Distributive Law
  845.    wt: 2:   Rewriting algebraic substitution as function substitutions
  846.    wt: 2:   musings do not puiblish real numbers
  847.    wt: 2:   Simple Exercises
  848.    wt: 2:   6 Three Notions of What is a Variable
  849.    wt: 2:   5 Talking about Numbers and Quantities
  850.    wt: 2:   4 A Brief Story of numbers and algebra
  851.    wt: 2:   2 What is a Variable
  852.    wt: 2:   1 Three Skills For Algebra
  853.    wt: 2:   5 Square Roots with primes more still
  854.    wt: 2:   4 Square Roots with primes more
  855.    wt: 2:   3 Properties of Square Roots with example
  856.    wt: 2:   2 Square Roots with Prime
  857.    wt: 2:   1 Squares and Square Roots Introduction
  858.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  859.    wt: 2:   8 GCD from Euclidean Algorithm
  860.    wt: 2:   6 GCD from Prime
  861.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  862.    wt: 2:   2 Least Common Multiple LCM intro via list method
  863.    wt: 2:   12 GCD 2700 288 via Prime
  864.    wt: 2:   22 Complex Compound Fractions
  865.    wt: 2:   21 Working With Signs
  866.    wt: 2:   21 Reciprocals for Fractions and Wholes
  867.    wt: 2:   20 Dividing Fractions the Why
  868.    wt: 2:   19 Dividing Fractions How TO
  869.    wt: 2:   18 Efficient Ways to Multiply
  870.    wt: 2:   17 Efficient Ways to Add and Subtract
  871.    wt: 2:   16 Addition Subtraction Comparision Compared
  872.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  873.    wt: 2:   14 Adding and Subtracting with Like Denominators
  874.    wt: 2:   13 Fraction Comparison Algebraic View
  875.    wt: 2:   12 Fraction Comparison
  876.    wt: 2:   11 Simplification an Algebraic View
  877.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  878.    wt: 2:   9 Improper Fractions and Mixed Numbers
  879.    wt: 2:   8 Numerals Fractionals Quantals Take II
  880.    wt: 2:   7 Numerals Fractionals Quantals
  881.    wt: 2:   6 Multiplication of Mixed Numbers
  882.    wt: 2:   6 Multiplication Algebraically Take II
  883.    wt: 2:   5 Equivalent Fractions
  884.    wt: 2:   4 Fraction Multiplication
  885.    wt: 2:   3 Unit fraction of a fraction
  886.    wt: 2:   1 What is a fraction Take II
  887.    wt: 2:   1 What is a fraction
  888.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  889.    wt: 2:   Quick history of numbers and algebra
  890.    wt: 2:   Expression Evaluation how to show work
  891.    wt: 2:   The 20 Times Table
  892.    wt: 2:   The 12 Times Table Visually
  893.    wt: 2:   11 Limits at infinity Three Examples
  894.    wt: 2:   10 Three one sided limits with infinite values
  895.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  896.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  897.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  898.    wt: 2:   Chapter 23 Links To Trigonometry
  899.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  900.    wt: 2:   Chapter 10 Slopes and Units
  901.    wt: 2:   Chapter 8. Slope Interpretation
  902.    wt: 2:   Chapter 2. Slopes and Ski Trails
  903.    wt: 2:   Chapter 1.Introduction
  904.    wt: 2:   Foreword
  905.    wt: 2:   Postscript More on Better Performance
  906.    wt: 2:   Postscript For Better Performance
  907.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  908.    wt: 2:   Chapter 19. Functions and Sets
  909.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  910.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  911.    wt: 2:   Chapter 6 Change of Language
  912.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  913.    wt: 2:   Foreword
  914.    wt: 2:   Chapter 10 Transition
  915.    wt: 2:   Chapter 7 Two Treatments of Geometry
  916.    wt: 2:   Chapter 2 For and Against Mathematics
  917.    wt: 2:   Foreword
  918.    wt: 2:   Postscript C Consistency as a Tool for Reason
  919.    wt: 2:   Postscript B More on Story Telling and Reason
  920.    wt: 2:   Postscript A Story Telling
  921.    wt: 2:   Chapter 24 Direct and Indirect Reason
  922.    wt: 2:   Chapter 23 Truth Tables
  923.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  924.    wt: 2:   Chapter 21 Occurrence Tables
  925.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  926.    wt: 2:   Chapter 18 Sense and Knowledge
  927.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  928.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  929.    wt: 2:   Chapter 15 Objective Processes
  930.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  931.    wt: 2:   Chapter 11 Accidental Patterns
  932.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  933.    wt: 2:   Chapter 7 Longer Chains of Reason
  934.    wt: 2:   Chapter 6 Chains of Reason
  935.    wt: 2:   Chapter 5 Deception
  936.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  937.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  938.    wt: 2:   Chapter 1 Introduction
  939.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  940.    wt: 2:   S Adding words to algebra
  941.    wt: 2:   R Why Learn Mathematics Skills
  942.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  943.    wt: 2:   O On Learning Mathematics and Science
  944.    wt: 2:   N Mathematics Prepare for College Studies
  945.    wt: 2:   L Skills with take home value
  946.    wt: 2:   N Improving Marks on Tests and Finals
  947.    wt: 2:   J. More on written work and showing skill
  948.    wt: 2:   H Jigsaw puzzles and problem solving
  949.    wt: 2:   G. Written work formats for developing and showing skill
  950.    wt: 2:   F. The student teacher tutor feedback loop
  951.    wt: 2:   E. When and how to correct errors
  952.    wt: 2:   D. Check work a must with a caution
  953.    wt: 2:   C. Domino effect of being careful
  954.    wt: 2:   A. Skill has to be seen to believed
  955.    wt: 2:   Chapter 8 Skipped Topics and Why
  956.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  957.    wt: 2:   Chapter 3 Algebra Starter Lessons
  958.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  959.    wt: 2:   7 Games and Activities for Instruction
  960.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  961.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  962.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  963.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  964.    wt: 2:   Road Safety Questions
  965.    wt: 1:   which way to go
  966.    wt: 1:   Teach the teachers plus goals
  967.    wt: 1:   permissions for teachers
  968.    wt: 1:   Math Ed if it must be short make it lean effective
  969.    wt: 1:   activities for students
  970.    wt: 1:   site origins
  971.    wt: 1:   site eurekas
  972.    wt: 1:   key notes and themes
  973.    wt: 1:   Mathematics Education Professors
  974.    wt: 1:   modern education
  975.    wt: 1:   learning takes time
  976.    wt: 1:   grouping students according to ability
  977.    wt: 1:   mathematics in context
  978.    wt: 1:   Education Reform Inconsistencies
  979.    wt: 1:   Secondary Three Mathematics
  980.    wt: 1:   Secondary One Mathematics
  981.    wt: 1:   talk the algebra talk
  982.    wt: 1:   three difficulties
  983.    wt: 1:   teaching tips
  984.    wt: 1:   What to Tell Students
  985.    wt: 1:   mathematics curriculum shifts
  986.    wt: 1:   teaching tutoring algebraic reason
  987.    wt: 1:   05 13 OldSiteEntrancePage
  988.    wt: 1:   04 29 New Mathematics Curriculum
  989.    wt: 1:   04 25 when to stop or suspend mathemat
  990.    wt: 1:   three aims for mathematics students
  991.    wt: 1:   standards for course material
  992.    wt: 1:   Operational Viewpoint to Value
  993.    wt: 1:   formal or informal peer review
  994.    wt: 1:   Theory of Knowledge
  995.    wt: 1:   mathematics instruction in general
  996.    wt: 1:   Education in mathematics science and technology
  997.    wt: 1:   Different Kinds of Reasoning in maths
  998.    wt: 1:   cultivating intelligence
  999.    wt: 1:   problemes responses
  1000.    wt: 1:   1 Conductance Resistance Duality01
  1001.    wt: 1:   A Wire Resistance Qualitative01
  1002.    wt: 1:   3 Like resistors in parallel
  1003.    wt: 1:   2 Unlike resistors in parallel01
  1004.    wt: 1:   Home Tutoring and Home Schooling
  1005.    wt: 1:   17 Function maxima minima and their location
  1006.    wt: 1:   16 Increasing or decreasing on intervals
  1007.    wt: 1:   15 Sign analysis of functions
  1008.    wt: 1:   14 Surjections Injections Bijections
  1009.    wt: 1:   13 From one to one to many to one
  1010.    wt: 1:   12 Function Domain Recognition Exercises
  1011.    wt: 1:   11 Growth and Decay in Biology
  1012.    wt: 1:   8 Notes for instructors or tutors
  1013.    wt: 1:   7 Links Lessons Elsewhere
  1014.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  1015.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  1016.    wt: 1:   4 Polynomials Long division linear divisor
  1017.    wt: 1:   3 Polynomials Multiplication Addition
  1018.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  1019.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  1020.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  1021.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  1022.    wt: 1:   13 GCD from given Prime Factorization
  1023.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  1024.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  1025.    wt: 1:   7 GCD and LCM from prime factorization
  1026.    wt: 1:   5 Common Divisors 60 45 via Prime
  1027.    wt: 1:   4 LCM of 8 and 10 via Prime
  1028.    wt: 1:   1 Least Common Multiples LCM Introduction
  1029.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  1030.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  1031.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  1032.    wt: 1:   G.5 Motions With Bounded Velocities
  1033.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  1034.    wt: 1:   G.3 Constant Difference Theorem Proof
  1035.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  1036.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  1037.    wt: 1:   F.5b Extreme Value Theorem
  1038.    wt: 1:   F.5a Equicontinuity Theorems
  1039.    wt: 1:   F.4 Finite Covering Theorem
  1040.    wt: 1:   F.3 Intermediate Value Theorem
  1041.    wt: 1:   F.2 Closed Range Theorem
  1042.    wt: 1:   F.1 What Functions are Continuous
  1043.    wt: 1:   E2 Algebraic Properties of Limits
  1044.    wt: 1:   E1 Error Control Inequalities
  1045.    wt: 1:   D2 Limits of Monotone Sequences
  1046.    wt: 1:   C Triangle Inequalities
  1047.    wt: 1:   B3 Bolzano Weierstrass Theorem
  1048.    wt: 1:   A1. Introduction
  1049.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  1050.    wt: 1:   Chapter 22 Complex Numbers
  1051.    wt: 1:   Chapter 21 Arrow Addition
  1052.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  1053.    wt: 1:   Chapter 18. Slopes Areas Integration
  1054.    wt: 1:   Chapter 17. Area Approximation
  1055.    wt: 1:   Chapter 16. Velocity Approximation
  1056.    wt: 1:   Chapter 15. Slope Approximation
  1057.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  1058.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  1059.    wt: 1:   Chapter 13. Acceleration
  1060.    wt: 1:   Chapter 12. Units and Slopes
  1061.    wt: 1:   Chapter 11. Graphing Slope versus Position
  1062.    wt: 1:   Chapter 9 About First Courses in Calculus
  1063.    wt: 1:   Chapter 7 Slopes and Velocity
  1064.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  1065.    wt: 1:   Chapter 5. Slope Sign Tests
  1066.    wt: 1:   Chapter 4. More Slope Sign Analysis
  1067.    wt: 1:   Chapter 3. Slope Sign Analysis
  1068.    wt: 1:   Appendix E. How To Study Mathematics and Why
  1069.    wt: 1:   Appendix D. What to do in School and Why
  1070.    wt: 1:   Appendix C. How to Read
  1071.    wt: 1:   Appendix B. How To Learn
  1072.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  1073.    wt: 1:   Chapter 31 Direct and Indirect Reason
  1074.    wt: 1:   Chapter 30 Truth Tables
  1075.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  1076.    wt: 1:   Chapter 28 Occurrence Tables
  1077.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  1078.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  1079.    wt: 1:   Chapter 25. Mathematical Induction Examples
  1080.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  1081.    wt: 1:   Chapter 23. Notation For Sums
  1082.    wt: 1:   Chapter 21. Third Reading Guide
  1083.    wt: 1:   Chapter 20. Degrees and Radians
  1084.    wt: 1:   Chapter 18. Rules for Algebra
  1085.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  1086.    wt: 1:   Chapter 16. Painless Theorem Proving
  1087.    wt: 1:   Chapter 15. Solving Linear Equations
  1088.    wt: 1:   Chapter 13. Second Reading Guide
  1089.    wt: 1:   Chapter 12. Shorthand Usage Guide
  1090.    wt: 1:   Chapter 11. Why Shorthand
  1091.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  1092.    wt: 1:   Chapter 8 Three Skills For Algebra
  1093.    wt: 1:   Solutions For Arithmetic Exercises
  1094.    wt: 1:   Chapter 4 Longer Chains of Reason
  1095.    wt: 1:   Chapter 3 Chains of Reason
  1096.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  1097.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  1098.    wt: 1:   Annotated Links to Material Elsehwere
  1099.    wt: 1:   Postscript B Mathematics Education References
  1100.    wt: 1:   Postscript A Three Remarks
  1101.    wt: 1:   Chapter 12 Four Phases
  1102.    wt: 1:   Chapter 11 Elementary Instruction
  1103.    wt: 1:   Chapter 9 The Two Ends
  1104.    wt: 1:   Chapter 8 Modern Instruction
  1105.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  1106.    wt: 1:   Chapter 5 Four References
  1107.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  1108.    wt: 1:   Chapter 3 Algebra Difficulties
  1109.    wt: 1:   Chapter 1 Introduction
  1110.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  1111.    wt: 1:   H more Routine to non routine problem solving
  1112.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  1113.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  1114.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  1115.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  1116.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  1117.    wt: 1:   Which Way To Go
  1118.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  1119.    wt: 1:   The Math Forum and Site Content
  1120.    wt: 1:   Site Reviews
  1121.    wt: 15:   chapitre 02 00 La Communication des idees
  1122.    wt: 12:   chapitre 07 00 Des chaines plus longues de la raison
  1123.    wt: 11:   chapitre 12 00 les iles et division
  1124.    wt: 11:   chapitre 06 00 Chaines de la raison
  1125.    wt: 11:   chapitre 04 07 RepetablesEtReproductibles
  1126.    wt: 11:   chapitre 04 00 Les regles d implication
  1127.    wt: 11:   chapitre 03 A Propos Des Prochains Chapitre
  1128.    wt: 10:   chapitre 05 00 Deception
  1129.    wt: 10:   chapitre 04 10 Etapes pour une meilleur raison
  1130.    wt: 10:   chapitre 04 09 Regles accidentelles
  1131.    wt: 10:   chapitre 04 08 Limitations et benefices
  1132.    wt: 10:   chapitre 04 04 Parlons de la logique
  1133.    wt: 10:   chapitre 04 02 Deuxieme enigme
  1134.    wt: 10:   chapitre 01 00 Introduction
Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

Return to Page Top

Home << Search

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

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

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

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

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