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

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

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

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

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

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

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

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54 matches:

  1.    wt: 6:   D Decimal Long Division Methods/
  2.    wt: 5:   Volume 1A Regles et modeles/
  3.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  4.    wt: 5:   4 Lines and Slopes Take 1/
  5.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  6.    wt: 5:   4 Remainder Arithmetic and Divisibility/
  7.    wt: 5:   C Decimal Multiplication Methods/
  8.    wt: 5:   B Decimal Comparing and Subtracting Methods/
  9.    wt: 5:   A Decimal Counting and Adding Methods/
  10.    wt: 4:   15 Arc or Inverse Trigonometric Function/
  11.    wt: 4:   12 Function Translating and Rescaling/
  12.    wt: 4:   8 Unit Circle Trigonometry/
  13.    wt: 4:   6 Trigonometry first steps/
  14.    wt: 4:   5 What is Similarity/
  15.    wt: 4:   3 Cartesian and Polar Coordinates/
  16.    wt: 4:   1 Maps Plans Measurement/
  17.    wt: 3:   13 Vectors/
  18.    wt: 3:   11 Parallel Straight Lines and Transversals/
  19.    wt: 3:   10 Intersecting Straight Lines and Transversals/
  20.    wt: 3:   9 Lines and Slopes Take 2 with tangent function/
  21.    wt: 3:   7 Complex Numbers/
  22.    wt: 3:   Geometry maps plans trigonometry vectors/
  23.    wt: 3:   2 Arithmetic with Decimals/
  24.    wt: 3:   1 Decimal Place Value/
  25.    wt: 2:   8 Arithmetic with Signed Numbers/
  26.    wt: 2:   7 Arithmetic and Fractions with Units/
  27.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  28.    wt: 2:   4 Lessons on Using Derivatives/
  29.    wt: 2:   38 Lessons on Calculating Derivatives/
  30.    wt: 1:   LAMP Lean Applied Mathematics Program/
  31.    wt: 1:   francais/
  32.    wt: 1:   4 Functions/
  33.    wt: 1:   3 Quadratics Geometrically/
  34.    wt: 1:   B Real Numbers Extrinsic Development/
  35.    wt: 1:   A Origins of Counting and Figuring Methods/
  36.    wt: 1:   4 Computation Rules and Function Notation/
  37.    wt: 1:   Step 4 Gaussian Elimination/
  38.    wt: 1:   2 Formula Forward Use Evaluation/
  39.    wt: 1:   1 Working With Sets/
  40.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  41.    wt: 1:   11 Squares and Square Roots/
  42.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  43.    wt: 1:   9 Combinatorics Trees Tables and Products/
  44.    wt: 1:   6 Fractions and Ratios/
  45.    wt: 1:   5 Integers/
  46.    wt: 1:   3 Prime Factorization Skills/
  47.    wt: 1:   Arithmetic and Number Theory Skills/
  48.    wt: 1:   5 Lessons on Integration/
  49.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  50.    wt: 1:   Volume 2 Three Skills For Algebra/
  51.    wt: 1:   Volume 1A Pattern Based Reason/
  52.    wt: 1:   Secondary Mathematics A Practical Approach/
  53.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  54.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

474 matches:

  1.    wt: 7:   chapitre 04 04 Parlons de la logique
  2.    wt: 4:   chapitre 07 00 Des chaines plus longues de la raison
  3.    wt: 4:   chapitre 04 09 Regles accidentelles
  4.    wt: 4:   chapitre 04 07 RepetablesEtReproductibles
  5.    wt: 4:   chapitre 02 00 La Communication des idees
  6.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  7.    wt: 4:   5 Independent versus Dependent Variables
  8.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  9.    wt: 3:   chapitre 06 00 Chaines de la raison
  10.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
  11.    wt: 3:   chapitre 04 08 Limitations et benefices
  12.    wt: 3:   chapitre 04 02 Deuxieme enigme
  13.    wt: 3:   chapitre 04 00 Les regles d implication
  14.    wt: 3:   chapitre 03 A Propos Des Prochains Chapitre
  15.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take IV
  16.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take III
  17.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take II
  18.    wt: 3:   23 Modularized Skill Development Modularized Rigor
  19.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  20.    wt: 3:   4 Side Side Side
  21.    wt: 3:   A Modular and Remainder Arithmetic
  22.    wt: 3:   1 Formulas Dependence and Function Notation
  23.    wt: 3:   arithmetic videos Real Player Format
  24.    wt: 3:   D Decimal Multiplication Methods Derived
  25.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  26.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  27.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  28.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  29.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  30.    wt: 2:   E LAMP Introduction Modern Mathematics
  31.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  32.    wt: 2:   8 analytic geometry etc
  33.    wt: 2:   3 Euclidean Geometry Leanly
  34.    wt: 2:   three goals to set for students
  35.    wt: 2:   five decades make a difference
  36.    wt: 2:   chapitre 12 00 les iles et division
  37.    wt: 2:   chapitre 05 00 Deception
  38.    wt: 2:   chapitre 04 06 engagements
  39.    wt: 2:   chapitre 04 05 Implication versus suggestion
  40.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  41.    wt: 2:   chapitre 04 01 Premiere enigme
  42.    wt: 2:   problemes algebre et arithmetique
  43.    wt: 2:   deux definitions pour variable
  44.    wt: 2:   logique deux enigme
  45.    wt: 2:   F Wire Resistance Calculation04
  46.    wt: 2:   9 Set theory term relation possible origins
  47.    wt: 2:   8 Set view of relations and functions
  48.    wt: 2:   7 quadratic formulla derivation
  49.    wt: 2:   10 Exponential Growth and Decay Models
  50.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  51.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  52.    wt: 2:   30 unit circle calculation of six trigonometric functions
  53.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  54.    wt: 2:   11 tangent function undefined when terminal side vertical
  55.    wt: 2:   Unit Circle Development of Trigonometry
  56.    wt: 2:   8 Unit Circle Development of Trigonometry
  57.    wt: 2:   1 Rectangular Polar Coordinates Review
  58.    wt: 2:   Appetizer A Complex Number Applet
  59.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  60.    wt: 2:   11 Triangle Similarity Missing Side Problem
  61.    wt: 2:   7 Translations Rotations Reflections Dilatations
  62.    wt: 2:   6 Geometric Diagrams in Class
  63.    wt: 2:   4 Similarity Definition with Coordinate
  64.    wt: 2:   3 Similarity by Design with coordinates
  65.    wt: 2:   2 Similarity By Design
  66.    wt: 2:   10 Pythagorean plane distance formula
  67.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  68.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  69.    wt: 2:   16 Angles Subtended By Chords and Diameters
  70.    wt: 2:   12 Side Angle Side Failure
  71.    wt: 2:   5 Side Angle Side
  72.    wt: 2:   2 Correspondence between Triangles
  73.    wt: 2:   Short Course on Euclidean Geometry
  74.    wt: 2:   23 Distributive Law Two Derivations
  75.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  76.    wt: 2:   C Three Decimal Subtraction Methods
  77.    wt: 2:   A Decimal Addition Columm Methods
  78.    wt: 2:   7 Decimals Multiplication Methods Examples
  79.    wt: 2:   6 Column Methods for Decimal Multiplication
  80.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  81.    wt: 2:   3 Geometric Formulas and Function Notation
  82.    wt: 2:   13 Naming Identifying Formulas with Words
  83.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  84.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  85.    wt: 2:   4 Subset Builder Notation
  86.    wt: 2:   3 Counting with Sets etc
  87.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  88.    wt: 2:   23 Remainder Arithmetic Modulo 2
  89.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  90.    wt: 2:   21 Remainder Arithmetic Modulo 3
  91.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  92.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  93.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  94.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  95.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  96.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  97.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  98.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  99.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  100.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  101.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  102.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  103.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  104.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  105.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  106.    wt: 2:   5 Remainder Arithmetic Modulo 5
  107.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  108.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  109.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  110.    wt: 2:   1 Remainder Arithmetic Modulo 10
  111.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  112.    wt: 2:   Video Power Notation in Decimal Expansion
  113.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  114.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  115.    wt: 2:   7 Adding decimal fractions using decimal point
  116.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  117.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  118.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  119.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  120.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  121.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  122.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  123.    wt: 2:   A Chain Rule Real Player video examples
  124.    wt: 2:   38 Formulas and derivatives for powers and roots
  125.    wt: 2:   33 Chain Rule Real Player video examples
  126.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  127.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  128.    wt: 2:   7 Evaluation by immediate or delayed substitution
  129.    wt: 2:   G.6 Bounded Derivatives implies Lipshitz Continuity
  130.    wt: 2:   Chapter 10 Describing and Changing Calculations
  131.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  132.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  133.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  134.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  135.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  136.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  137.    wt: 1:   Appendix 2 primary school Arithmetic 01
  138.    wt: 1:   K LAMP Musings Science Education
  139.    wt: 1:   J LAMP Introduction Extrinsic Origins
  140.    wt: 1:   I LAMP Introduction Study Habits
  141.    wt: 1:   H LAMP Introduction Instructional Concepts
  142.    wt: 1:   G LAMP Introduction Problem Solving Skills
  143.    wt: 1:   F LAMP Introduction Prerequisites
  144.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  145.    wt: 1:   Skills Chapter 2 Geometry
  146.    wt: 1:   Skills Chapter 1 Arithmetic
  147.    wt: 1:   9 combinatorics probability sets
  148.    wt: 1:   7 logic review and decimals an odd combination
  149.    wt: 1:   6 polynomials etc
  150.    wt: 1:   5 logarithms and exponentials etc
  151.    wt: 1:   2 arithmetic with signed numbers
  152.    wt: 1:   1 arithmetic with unsigned numbers
  153.    wt: 1:   activities for students
  154.    wt: 1:   About site lesson plans
  155.    wt: 1:   modern education
  156.    wt: 1:   grouping students according to ability
  157.    wt: 1:   Maps Plans Drawings
  158.    wt: 1:   how letters appear
  159.    wt: 1:   What to Tell Students
  160.    wt: 1:   geometric implications for algebra
  161.    wt: 1:   04 29 New Mathematics Curriculum
  162.    wt: 1:   04 25 when to stop or suspend mathemat
  163.    wt: 1:   three aims for mathematics students
  164.    wt: 1:   How to be a better instructor
  165.    wt: 1:   chapitre 07 01 principle D induction mathematique
  166.    wt: 1:   chapitre 01 00 Introduction
  167.    wt: 1:   D Energy Power04
  168.    wt: 1:   E Wire Resistance Calculation03
  169.    wt: 1:   D Wire Resistance Calculation02
  170.    wt: 1:   C Wire Resistance Calculation01
  171.    wt: 1:   E Kirchoffs Second Law
  172.    wt: 1:   D Kirchoff First Law
  173.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  174.    wt: 1:   24 Standards For Skill Develoment Take II
  175.    wt: 1:   24 Standards For Skill Develoment
  176.    wt: 1:   22 Student Centered Highschool Mathematics
  177.    wt: 1:   17 Math Booklets for children and young teenagers
  178.    wt: 1:   11 Help and Defend Your Child or Teens Education
  179.    wt: 1:   9 Streaming by Student Cooperation
  180.    wt: 1:   7 Student Motivation
  181.    wt: 1:   Ages 12 to 14 Geometry
  182.    wt: 1:   Ages 12 to 14 Arithmetic
  183.    wt: 1:   Ages 10 to 12 Geometry
  184.    wt: 1:   Ages 10 to 12 Arithmetic
  185.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  186.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  187.    wt: 1:   26 Function definitions done and coming
  188.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  189.    wt: 1:   19 Horizontal line rule and method
  190.    wt: 1:   18 Vertical Line Rule and Method
  191.    wt: 1:   16 Increasing or decreasing on intervals
  192.    wt: 1:   11 Function Domain Range Source and Targets
  193.    wt: 1:   6 Set Existence Formation and Notation
  194.    wt: 1:   5 Function notation for geometric transformations
  195.    wt: 1:   3 Formula or function graphing exercise
  196.    wt: 1:   1 Geometric Introduction of Function Notation
  197.    wt: 1:   Introduction Reading Guide
  198.    wt: 1:   8 quadratics backward use of various formulas
  199.    wt: 1:   5 quadratics completing the square
  200.    wt: 1:   11 Growth and Decay in Biology
  201.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  202.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  203.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  204.    wt: 1:   5 Natural Logarithm Calculator Exercises
  205.    wt: 1:   1 Calculator Starter Exercises
  206.    wt: 1:   2 Column Multiplication Method
  207.    wt: 1:   1 Polynomials Distributive Law
  208.    wt: 1:   16 cotangent function Definition Graph and Inverse
  209.    wt: 1:   15 cosecant function Definition Graph and Inverse
  210.    wt: 1:   14 secant function Definition Graph and Inverse
  211.    wt: 1:   13 cosecant function Definition Graph and Inverse
  212.    wt: 1:   10 arctan left inverse of tangent Definition
  213.    wt: 1:   7 arcsin left inverse of sine Definition
  214.    wt: 1:   3 Left Inverse of cosine arccos definition
  215.    wt: 1:   9 Summary Degrees to Radians and back
  216.    wt: 1:   6 Radian Measure to Degrees
  217.    wt: 1:   5 Degrees to Radian Measure
  218.    wt: 1:   2 Radian Measure Numerical Value of one degree
  219.    wt: 1:   1 Degrees and Radians Introduction
  220.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  221.    wt: 1:   11 Component Method
  222.    wt: 1:   10 Parallelogram Addition Method
  223.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  224.    wt: 1:   Vector and Complex Number Applet
  225.    wt: 1:   Triangle Angles Sum To 180 Degrees
  226.    wt: 1:   17 tangent function angle sum formulas
  227.    wt: 1:   31 basic secant cosecant cotangent trig identities
  228.    wt: 1:   26 Formulas for products of sines and cosines
  229.    wt: 1:   25 tangent double angle formula Slope connection
  230.    wt: 1:   24 tangent Angle Difference Formula
  231.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  232.    wt: 1:   21 sine and cosine Half Angle Formulas
  233.    wt: 1:   20 sine and cosine Double Angle Formulas
  234.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  235.    wt: 1:   17F Law of cosines
  236.    wt: 1:   17E Trig Formulas for dot and cross Products
  237.    wt: 1:   17D cis formulas for sine cosines and tangent
  238.    wt: 1:   17C sine and cosine double triple angle formulas
  239.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  240.    wt: 1:   16 Right Triangle Complementary Angle Relations
  241.    wt: 1:   15 sine cosine Complementary Angle Relations
  242.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  243.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  244.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  245.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  246.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  247.    wt: 1:   14 Law of cosines
  248.    wt: 1:   13 Trig Formulas for dot and cross Products
  249.    wt: 1:   12 cis formulas for sine cosines and tangent
  250.    wt: 1:   11 sine and cosine double triple angle formulas
  251.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  252.    wt: 1:   7 Second Way to Calculate Products
  253.    wt: 1:   5 An Easy Proof of the Distributive Law
  254.    wt: 1:   2 Complex Numbers made easier we hope
  255.    wt: 1:   8 Triangles Cascade Problem Solving
  256.    wt: 1:   7 Trignometric Ratios Unit Circle
  257.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  258.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  259.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  260.    wt: 1:   3 Trigonometric Ratios sine and cosine
  261.    wt: 1:   1 Angle Measurement with Degrees
  262.    wt: 1:   Why Trigonometry the whyslopes view
  263.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  264.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  265.    wt: 1:   12 Triangles Similarity More Problems
  266.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  267.    wt: 1:   9 Similarity of Triangles Usual Criteria
  268.    wt: 1:   8 Similarity of Triangles and Polygons
  269.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  270.    wt: 1:   1 Early Concept of Like or Similar Shapes
  271.    wt: 1:   8 Mid Point Formula
  272.    wt: 1:   3 Slope product for perpendicular lines
  273.    wt: 1:   13 Pythagorean spatial distance formulas
  274.    wt: 1:   8 Distance Between Points on a Line
  275.    wt: 1:   7 Complex Numbers Appetizer
  276.    wt: 1:   6 Polar Multiplication and Rotation
  277.    wt: 1:   5 Cartesian Addition and Translation
  278.    wt: 1:   4 Polar Coordinates to and from
  279.    wt: 1:   3 Rectangular Coordinates Review
  280.    wt: 1:   PS H Distributive Law For Complex Numbers
  281.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  282.    wt: 1:   PS E Multiplication with Polar Coordinates
  283.    wt: 1:   PS B Parallelogram Construction Methods
  284.    wt: 1:   PS A Kite Construction Methods
  285.    wt: 1:   19 Right Triangle Similarity
  286.    wt: 1:   18 Triangle Similarity Take 1
  287.    wt: 1:   17 Right Bisectors of Triangle Sides
  288.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  289.    wt: 1:   14 Parallel Lines Postulate
  290.    wt: 1:   13 Angle Side Angle Failure
  291.    wt: 1:   10 Dropping a perpendicular to line
  292.    wt: 1:   7 Angle Side Angle
  293.    wt: 1:   3 Isometry of Triangles Congruence
  294.    wt: 1:   4 Angles on Maps Plans drawn to scale
  295.    wt: 1:   3 Lengths and Areas on Maps and Plans
  296.    wt: 1:   About Folder Contents
  297.    wt: 1:   A Signed Number Arithmetic Review
  298.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  299.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  300.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  301.    wt: 1:   15 Head to Tails in place Addition Associative
  302.    wt: 1:   13 Arrows and Vectors in a Plane
  303.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  304.    wt: 1:   9 Division with Digits after Decimal Point
  305.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  306.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  307.    wt: 1:   4 Location of Point in Decimal Addition
  308.    wt: 1:   3 Location of Point in Decimal Multiplication
  309.    wt: 1:   2 Counting Digits in Decimal Multiplication
  310.    wt: 1:   1 Fractions with Finite Decimal Expansions
  311.    wt: 1:   E Long Division Methods more
  312.    wt: 1:   D Long Division Methods
  313.    wt: 1:   B Decimal Comparison and Subtraction
  314.    wt: 1:   8 Column Multiplication Methods in General
  315.    wt: 1:   5 Distributive Law for Whole Numbers
  316.    wt: 1:   4 Commutative Law Groups Counting Form
  317.    wt: 1:   4 Fraction Operations Axiomatic Development
  318.    wt: 1:   2 Fraction Operations Physical Development
  319.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  320.    wt: 1:   5 Triangle Area Formula Backwards
  321.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  322.    wt: 1:   1 Changing Calculations
  323.    wt: 1:   8 Coordinates for Maps and Planes
  324.    wt: 1:   4 Changing Letters
  325.    wt: 1:   4 Solving a triangular system exercise
  326.    wt: 1:   3 Solving triangular system example
  327.    wt: 1:   Skill Development Notes
  328.    wt: 1:   Using Letters for Physical Quantities
  329.    wt: 1:   Formula Usage Show Work Format
  330.    wt: 1:   8 Compound Interest Formula Evaluation
  331.    wt: 1:   7 Compound Interest Formula Introduction
  332.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  333.    wt: 1:   5 Box Volume Formula Example
  334.    wt: 1:   4 Circle Area Formula Example
  335.    wt: 1:   3 Triangle Area Formula Example
  336.    wt: 1:   2 Another Rectangle Area Formula Example
  337.    wt: 1:   1 Written work formats for developing and showing skill
  338.    wt: 1:   9 Sets in Probability and Statistics
  339.    wt: 1:   8 Sets of Numbers
  340.    wt: 1:   7 Cautious or Safe Set Construction
  341.    wt: 1:   6 Power Set Notation
  342.    wt: 1:   5 Product Builder Notation
  343.    wt: 1:   1 Finite Sets
  344.    wt: 1:   3 Adding Words To Arithmetic
  345.    wt: 1:   About Folder Contents
  346.    wt: 1:   8 GCD from Euclidean Algorithm
  347.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  348.    wt: 1:   2 Least Common Multiple LCM intro via list method
  349.    wt: 1:   1 Counting and Counting Methods I
  350.    wt: 1:   3 signed coordinates for maps and planes
  351.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  352.    wt: 1:   14 Adding and Subtracting with Like Denominators
  353.    wt: 1:   D Remainders Modulo 11 Pair Rule
  354.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  355.    wt: 1:   A Associative Law Theorectical Note
  356.    wt: 1:   11 Adding Integers Formulas and Examples
  357.    wt: 1:   10 Integer Multiplication Formulas
  358.    wt: 1:   19 video Prime Factorization Unique
  359.    wt: 1:   18 video Count Factors given Prime Factorization
  360.    wt: 1:   17 Identify and Count Factors using Primes
  361.    wt: 1:   16 video Factors of 980 using prime
  362.    wt: 1:   15 video Factors of 20 using Prime Factorization
  363.    wt: 1:   14 video Factors of 24 Take II
  364.    wt: 1:   13 video Factors of 24 using prime
  365.    wt: 1:   10 video Prime Factorization upto 23 squared
  366.    wt: 1:   9 video Prime Factorization upto 19 squared
  367.    wt: 1:   8 video Prime Factorization upto 19
  368.    wt: 1:   7 Calculator Usage Notes and Cautions
  369.    wt: 1:   4 video Prime Factorization Introduction
  370.    wt: 1:   3 video Primes and Composites from 9 times table
  371.    wt: 1:   1 video how Products are bigger than factor
  372.    wt: 1:   5 Long Division Include Zeroes or not
  373.    wt: 1:   A Elementary Basis for Multiplication Methods
  374.    wt: 1:   6 Multiplication Commutes Order Not Important
  375.    wt: 1:   5 Decimal Fraction Multiplication
  376.    wt: 1:   Subtraction Another Video Lesson
  377.    wt: 1:   9 22 Minute Subtraction Review Video
  378.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  379.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  380.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  381.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  382.    wt: 1:   5. How to add decimals C. Examples
  383.    wt: 1:   4. How to add with decimals B with conversions
  384.    wt: 1:   3. How to add with decimals A sans conversions
  385.    wt: 1:   2 Decimal Counting Practices
  386.    wt: 1:   1. Explaining Addition Table
  387.    wt: 1:   11 Place Value SI Standard International way
  388.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  389.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  390.    wt: 1:   Exact Arithmetic Wholes and Fractions
  391.    wt: 1:   Formula Evaluation how to show work
  392.    wt: 1:   About folder contents
  393.    wt: 1:   016 Numbering Occidental Calendar Days
  394.    wt: 1:   5 Conversion Arithmetic
  395.    wt: 1:   Example 1. Area Between x and x squared
  396.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  397.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  398.    wt: 1:   Area Between Curves Lesson Take 2
  399.    wt: 1:   Area Between Curves Lesson Take 1
  400.    wt: 1:   A Related Material in Volume 3
  401.    wt: 1:   5 Area Under Curve Exercise
  402.    wt: 1:   4 Definite Integrals Evaluation Exercises
  403.    wt: 1:   3 Two Chain Rule Method Exercises
  404.    wt: 1:   2 Indefinite Integrals Exercises
  405.    wt: 1:   1 Chain Rule in Reverse Integration Method
  406.    wt: 1:   A Related lessons in Volume 3
  407.    wt: 1:   4 Second derivative test exercise example
  408.    wt: 1:   3 Second derivative test
  409.    wt: 1:   2 Second derivative test prequel
  410.    wt: 1:   36 Cube root derivative animated
  411.    wt: 1:   34 Derivative of exponential function
  412.    wt: 1:   31 Derivatives of inverse functions
  413.    wt: 1:   17 Derivatives of quotients of sine and cosine
  414.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  415.    wt: 1:   15 sine and cosine derivatives 3rd step
  416.    wt: 1:   14 sine and cosine derivatives 2nd step
  417.    wt: 1:   13 sine and cosine derivatives 1st step
  418.    wt: 1:   3 Motivation for Limit Definition Take 2
  419.    wt: 1:   2 Motivation for Limit Definition Take 1
  420.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  421.    wt: 1:   10 Three one sided limits with infinite values
  422.    wt: 1:   3 Decimal insights for limits continuity convergence
  423.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  424.    wt: 1:   G.5 Motions With Bounded Velocities
  425.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  426.    wt: 1:   PostScript For and Against Decimal Perspectives
  427.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  428.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  429.    wt: 1:   Chapter 23 Links To Trigonometry
  430.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  431.    wt: 1:   Chapter 8. Slope Interpretation
  432.    wt: 1:   Fall 1983 Calculus Appetizer
  433.    wt: 1:   Postscript More on Better Performance
  434.    wt: 1:   Postscript For Better Performance
  435.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  436.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  437.    wt: 1:   Chapter 21. Third Reading Guide
  438.    wt: 1:   Chapter 20. Degrees and Radians
  439.    wt: 1:   Chapter 19. Functions and Sets
  440.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  441.    wt: 1:   Chapter 13. Second Reading Guide
  442.    wt: 1:   Chapter 12. Shorthand Usage Guide
  443.    wt: 1:   Solutions For Arithmetic Exercises
  444.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  445.    wt: 1:   Chapter 6 Change of Language
  446.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  447.    wt: 1:   Chapter 8 Modern Instruction
  448.    wt: 1:   Chapter 7 Two Treatments of Geometry
  449.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  450.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  451.    wt: 1:   Chapter 11 Accidental Patterns
  452.    wt: 1:   Chapter 8 Change of Language
  453.    wt: 1:   Chapter 5 Deception
  454.    wt: 1:   Chapter 2 Skill Development
  455.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  456.    wt: 1:   M Words to extend arithmetic
  457.    wt: 1:   I. Logic and language skills
  458.    wt: 1:   G. Written work formats for developing and showing skill
  459.    wt: 1:   F. The student teacher tutor feedback loop
  460.    wt: 1:   How to Build Skills and Confidence
  461.    wt: 1:   Chapter 6 More Algebra and Geometry
  462.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  463.    wt: 1:   Chapter 2 Why Sets
  464.    wt: 1:   Chapter 1 Arithmetic
  465.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  466.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  467.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  468.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  469.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  470.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  471.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  472.    wt: 1:   Systematic Algebra Skill Development Missing Links
  473.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  474.    wt: 1:   Road Safety Questions

Extended Search

921 matches:

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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