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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53 matches:

  1.    wt: 8:   10 Intersecting Straight Lines and Transversals/
  2.    wt: 8:   9 Lines and Slopes Take 2 with tangent function/
  3.    wt: 8:   1 Maps Plans Measurement/
  4.    wt: 7:   11 Parallel Straight Lines and Transversals/
  5.    wt: 6:   14 Degrees to Radians and Radians to Degrees/
  6.    wt: 6:   13 Vectors/
  7.    wt: 6:   12 Function Translating and Rescaling/
  8.    wt: 6:   8 Unit Circle Trigonometry/
  9.    wt: 6:   6 Trigonometry first steps/
  10.    wt: 6:   4 Lines and Slopes Take 1/
  11.    wt: 6:   3 Cartesian and Polar Coordinates/
  12.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  13.    wt: 5:   7 Complex Numbers/
  14.    wt: 5:   5 What is Similarity/
  15.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 5:   10 LCM GCD and Euclid GCD Algorithm/
  18.    wt: 4:   9 Combinatorics Trees Tables and Products/
  19.    wt: 3:   11 Squares and Square Roots/
  20.    wt: 3:   A Decimal Counting and Adding Methods/
  21.    wt: 3:   13 Lessons on Limits and Continuity/
  22.    wt: 2:   10 Examples of Algebraic Reasoning/
  23.    wt: 2:   9 Proportionality Backwards and Forwards/
  24.    wt: 2:   Step 1 Stick diagram and fractions/
  25.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  26.    wt: 2:   7 Arithmetic and Fractions with Units/
  27.    wt: 2:   6 Fractions and Ratios/
  28.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  29.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  30.    wt: 2:   1 Decimal Place Value/
  31.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  32.    wt: 2:   Work and Study Tips/
  33.    wt: 1:   Mathematics Education Essays/
  34.    wt: 1:   Volume 1A Regles et modeles/
  35.    wt: 1:   3 Quadratics Geometrically/
  36.    wt: 1:   1 Five Polynomial Operations/
  37.    wt: 1:   A Origins of Counting and Figuring Methods/
  38.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  39.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  40.    wt: 1:   4 Computation Rules and Function Notation/
  41.    wt: 1:   8 Arithmetic with Signed Numbers/
  42.    wt: 1:   5 Integers/
  43.    wt: 1:   3 Prime Factorization Skills/
  44.    wt: 1:   D Decimal Long Division Methods/
  45.    wt: 1:   C Decimal Multiplication Methods/
  46.    wt: 1:   2 Arithmetic with Decimals/
  47.    wt: 1:   Arithmetic and Number Theory Skills/
  48.    wt: 1:   5 Lessons on Integration/
  49.    wt: 1:   4 Lessons on Using Derivatives/
  50.    wt: 1:   38 Lessons on Calculating Derivatives/
  51.    wt: 1:   70 Calculus Starter Lessons/
  52.    wt: 1:   Resources and Reciprocal Links/
  53.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

348 matches:

  1.    wt: 4:   3 Lengths and Areas on Maps and Plans
  2.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  3.    wt: 3:   9 quadratics physical and further context
  4.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  5.    wt: 2:   Applied Maths Program14092009 POMME variant
  6.    wt: 2:   Maps Plans Drawings
  7.    wt: 2:   Quadratics in 10 steps
  8.    wt: 2:   10 Exponential Growth and Decay Models
  9.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  10.    wt: 2:   14 cosine even and sine and tangent are odd
  11.    wt: 2:   10 Graphs of sines and cosines many periods
  12.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  13.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  14.    wt: 2:   10 Midpoint of [a b] and [b a]
  15.    wt: 2:   4 Angles on Maps Plans drawn to scale
  16.    wt: 2:   13 Arrows and Vectors in a Plane
  17.    wt: 2:   2 More and Less Than for Counts and Measures
  18.    wt: 2:   10 Real Number Lengths and Signs
  19.    wt: 2:   8 Coordinates for Maps and Planes
  20.    wt: 2:   1 More and Less Than for Counts and Measures
  21.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  22.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  23.    wt: 2:   4 LCM of 8 and 10 via Prime
  24.    wt: 2:   3 signed coordinates for maps and planes
  25.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  26.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  27.    wt: 2:   10 Division by Five Long and Short Ways
  28.    wt: 2:   6. Counting and adding units and mixed units
  29.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  30.    wt: 2:   38 Formulas and derivatives for powers and roots
  31.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  32.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  33.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  34.    wt: 2:   Chapter 10 Slopes and Units
  35.    wt: 2:   Chapter 10 Describing and Changing Calculations
  36.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  37.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  38.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  39.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  40.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  41.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  42.    wt: 1:   Appendix 1 primary and preschool mathematic
  43.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  44.    wt: 1:   10 statistics
  45.    wt: 1:   7 logic review and decimals an odd combination
  46.    wt: 1:   5 logarithms and exponentials etc
  47.    wt: 1:   why bother
  48.    wt: 1:   About site lesson plans
  49.    wt: 1:   key notes and themes
  50.    wt: 1:   what should be learnt and When
  51.    wt: 1:   Postscript 2007 01 10
  52.    wt: 1:   standards for course material
  53.    wt: 1:   Education in mathematics science and technology
  54.    wt: 1:   Motivation and Context Problem
  55.    wt: 1:   fairness and inductive principles for instruction
  56.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  57.    wt: 1:   chapitre 04 09 Regles accidentelles
  58.    wt: 1:   4 Energy Power Heat09
  59.    wt: 1:   Home Tutoring and Home Schooling
  60.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  61.    wt: 1:   24 Standards For Skill Develoment Take II
  62.    wt: 1:   24 Standards For Skill Develoment
  63.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  64.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  65.    wt: 1:   17 Math Booklets for children and young teenagers
  66.    wt: 1:   14 Multiplication and Times Tables
  67.    wt: 1:   13 Addition and Addition Tables
  68.    wt: 1:   12 Goals and Objectives For Mathematics
  69.    wt: 1:   11 Help and Defend Your Child or Teens Education
  70.    wt: 1:   10 Ends values for work study instruction
  71.    wt: 1:   5 Patience Please for Yourself and Your Charges
  72.    wt: 1:   4 Learning Takes Time and Effort
  73.    wt: 1:   2 Reading and Writing Skills
  74.    wt: 1:   Ages 10 to 12 Geometry
  75.    wt: 1:   Ages 10 to 12 Arithmetic
  76.    wt: 1:   Ages 9 to 10
  77.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  78.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  79.    wt: 1:   26 Function definitions done and coming
  80.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  81.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  82.    wt: 1:   19 Horizontal line rule and method
  83.    wt: 1:   18 Vertical Line Rule and Method
  84.    wt: 1:   17 Function maxima minima and their location
  85.    wt: 1:   11 Function Domain Range Source and Targets
  86.    wt: 1:   10 Interval Notation
  87.    wt: 1:   8 Set view of relations and functions
  88.    wt: 1:   6 Set Existence Formation and Notation
  89.    wt: 1:   4 Function notation in and beyond mathematics
  90.    wt: 1:   A Quadratics Summary
  91.    wt: 1:   10 quadratic exercises
  92.    wt: 1:   8 quadratics backward use of various formulas
  93.    wt: 1:   6 quadratics numerical approach
  94.    wt: 1:   5 quadratics completing the square
  95.    wt: 1:   4 quadratics difference of two squares
  96.    wt: 1:   3 quadratics factoring by inspection
  97.    wt: 1:   2 quadratics graphing in general
  98.    wt: 1:   1 quadratics graphing exercises
  99.    wt: 1:   11 Growth and Decay in Biology
  100.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  101.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  102.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  103.    wt: 1:   16 cotangent function Definition Graph and Inverse
  104.    wt: 1:   15 cosecant function Definition Graph and Inverse
  105.    wt: 1:   14 secant function Definition Graph and Inverse
  106.    wt: 1:   13 cosecant function Definition Graph and Inverse
  107.    wt: 1:   10 arctan left inverse of tangent Definition
  108.    wt: 1:   9 Summary Degrees to Radians and back
  109.    wt: 1:   1 Degrees and Radians Introduction
  110.    wt: 1:   A Global Time and Navigation
  111.    wt: 1:   15 Dot and Cross Product
  112.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  113.    wt: 1:   13 Velocity Vectors in Physics
  114.    wt: 1:   10 Parallelogram Addition Method
  115.    wt: 1:   8 Parallel Vectors
  116.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  117.    wt: 1:   6 Vectors with Coordinates
  118.    wt: 1:   3 Navigation with Arrows or Vectors
  119.    wt: 1:   Vector and Complex Number Applet
  120.    wt: 1:   Parallel Lines and Parallel Transversals
  121.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  122.    wt: 1:   Parallel Lines and Interior Angles
  123.    wt: 1:   10 Straight Lines through Origin Equations More
  124.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  125.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  126.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  127.    wt: 1:   29 secant cosecant and cotangent for acute angles
  128.    wt: 1:   27 Logarithmic use of products of sines and cosines
  129.    wt: 1:   26 Formulas for products of sines and cosines
  130.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  131.    wt: 1:   21 sine and cosine Half Angle Formulas
  132.    wt: 1:   20 sine and cosine Double Angle Formulas
  133.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  134.    wt: 1:   17E Trig Formulas for dot and cross Products
  135.    wt: 1:   17D cis formulas for sine cosines and tangent
  136.    wt: 1:   17C sine and cosine double triple angle formulas
  137.    wt: 1:   9 Graphs of sine and cosine over one period
  138.    wt: 1:   7 period of sine and cosine
  139.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  140.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  141.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  142.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  143.    wt: 1:   Unit Circle Development of Trigonometry
  144.    wt: 1:   21 Logarithms Powers and Exponentials
  145.    wt: 1:   16 References and Originality Question
  146.    wt: 1:   13 Trig Formulas for dot and cross Products
  147.    wt: 1:   12 cis formulas for sine cosines and tangent
  148.    wt: 1:   11 sine and cosine double triple angle formulas
  149.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  150.    wt: 1:   8 Unit Circle Development of Trigonometry
  151.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  152.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  153.    wt: 1:   3 Trigonometric Ratios sine and cosine
  154.    wt: 1:   Why Trigonometry the whyslopes view
  155.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  156.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  157.    wt: 1:   8 Similarity of Triangles and Polygons
  158.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  159.    wt: 1:   7 Exercises to test skill and concept mastery
  160.    wt: 1:   1 Numerical view of lines and their equations
  161.    wt: 1:   What is and is not here
  162.    wt: 1:   10 Pythagorean plane distance formula
  163.    wt: 1:   6 Polar Multiplication and Rotation
  164.    wt: 1:   5 Cartesian Addition and Translation
  165.    wt: 1:   4 Polar Coordinates to and from
  166.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  167.    wt: 1:   16 Angles Subtended By Chords and Diameters
  168.    wt: 1:   10 Dropping a perpendicular to line
  169.    wt: 1:   6 Ruler and compass Angle Bisection
  170.    wt: 1:   1 Initial Concepts and Terms
  171.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  172.    wt: 1:   6 Figuring with Maps Not to Scale
  173.    wt: 1:   A Modular and Remainder Arithmetic
  174.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  175.    wt: 1:   19 Signed Multiples of Vectors
  176.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  177.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  178.    wt: 1:   11 Signed Number Addition and Addition Properties
  179.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  180.    wt: 1:   8 Division and Mulplication of Compound Fractions
  181.    wt: 1:   B Decimal Comparison and Subtraction
  182.    wt: 1:   2 Combing Counts Addition Skills and Principles
  183.    wt: 1:   2 Fraction Operations Physical Development
  184.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  185.    wt: 1:   4 Rates Ratios and Proporitionality
  186.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  187.    wt: 1:   6 Compound Interest Forward and Backwards
  188.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  189.    wt: 1:   6 Equations and Systems Equivalent or Implied
  190.    wt: 1:   4 Subtraction and Division Axioms
  191.    wt: 1:   2 Addition and Multiplication Axioms
  192.    wt: 1:   3 More and Less Than with Unlike Signs
  193.    wt: 1:   1 Whole and Natural Numbers
  194.    wt: 1:   3 Geometric Formulas and Function Notation
  195.    wt: 1:   1 Formulas Dependence and Function Notation
  196.    wt: 1:   3 GE III Equation Addition and Multiplication
  197.    wt: 1:   10 One Example
  198.    wt: 1:   Using Letters for Physical Quantities
  199.    wt: 1:   10 Volume of Pyramid
  200.    wt: 1:   2 Another Rectangle Area Formula Example
  201.    wt: 1:   1 Written work formats for developing and showing skill
  202.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  203.    wt: 1:   9 Sets in Probability and Statistics
  204.    wt: 1:   5 Talking about Numbers and Quantities
  205.    wt: 1:   4 A Brief Story of numbers and algebra
  206.    wt: 1:   2 More and Less Than with Unlike Signs
  207.    wt: 1:   1 Squares and Square Roots Introduction
  208.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  209.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  210.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  211.    wt: 1:   7 GCD and LCM from prime factorization
  212.    wt: 1:   3 Counting with Tables and Trees II
  213.    wt: 1:   2 Counting with Tables and Trees I
  214.    wt: 1:   1 Counting and Counting Methods I
  215.    wt: 1:   11 What are real lengths and numbers
  216.    wt: 1:   10 dividing signed numbers
  217.    wt: 1:   7 negative and additive inverse
  218.    wt: 1:   5 lengths and signs of numbers
  219.    wt: 1:   2 signed and unsigned numbers as coordinates
  220.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  221.    wt: 1:   3 Multiplying Units and Numbers
  222.    wt: 1:   2 Equality and Units
  223.    wt: 1:   1 Addition and Subtraction with Units
  224.    wt: 1:   B Fractions and Two Term Ratios
  225.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  226.    wt: 1:   21 Reciprocals for Fractions and Wholes
  227.    wt: 1:   17 Efficient Ways to Add and Subtract
  228.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  229.    wt: 1:   14 Adding and Subtracting with Like Denominators
  230.    wt: 1:   9 Improper Fractions and Mixed Numbers
  231.    wt: 1:   11 Adding Integers Formulas and Examples
  232.    wt: 1:   10 Integer Multiplication Formulas
  233.    wt: 1:   5 Zero Movement and Additive Inverses
  234.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  235.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  236.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  237.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  238.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  239.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  240.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  241.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  242.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  243.    wt: 1:   1 Remainder Arithmetic Modulo 10
  244.    wt: 1:   17 Identify and Count Factors using Primes
  245.    wt: 1:   12 LCD GCD and LCM using Primes
  246.    wt: 1:   10 video Prime Factorization upto 23 squared
  247.    wt: 1:   7 Calculator Usage Notes and Cautions
  248.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  249.    wt: 1:   5 Prime Factorization and a Square Rule
  250.    wt: 1:   3 video Primes and Composites from 9 times table
  251.    wt: 1:   2 Prime and Composites less than 16
  252.    wt: 1:   Division with Counts and Length
  253.    wt: 1:   Long Division forwards and backwards Example 3
  254.    wt: 1:   Long Division forwards and backwards Example 2
  255.    wt: 1:   Long Division forwards and backwards Example 1
  256.    wt: 1:   11 Another Single Digit Divisor Example
  257.    wt: 1:   1 Divsion Physical Examples
  258.    wt: 1:   4 Two and Three Digit Multipliers
  259.    wt: 1:   Subtraction Another Video Lesson
  260.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  261.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  262.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  263.    wt: 1:   8 What skills and work habits to require
  264.    wt: 1:   11 Place Value SI Standard International way
  265.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  266.    wt: 1:   Quick history of numbers and algebra
  267.    wt: 1:   Exact Arithmetic Wholes and Fractions
  268.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  269.    wt: 1:   015 School and work day counting tables
  270.    wt: 1:   010 Repeated Addition of Time Intervals
  271.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  272.    wt: 1:   4 Mixing and Changing Units of Time
  273.    wt: 1:   3 Units and Lengths of Time
  274.    wt: 1:   2 Time and Date Matters in School
  275.    wt: 1:   Example 1. Area Between x and x squared
  276.    wt: 1:   17 Derivatives of quotients of sine and cosine
  277.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  278.    wt: 1:   15 sine and cosine derivatives 3rd step
  279.    wt: 1:   14 sine and cosine derivatives 2nd step
  280.    wt: 1:   13 sine and cosine derivatives 1st step
  281.    wt: 1:   10 Power rule for negative integers
  282.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  283.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  284.    wt: 1:   10 Three one sided limits with infinite values
  285.    wt: 1:   9 Limits Continuity and Composition
  286.    wt: 1:   5 Jumps and absence of unlimited error control
  287.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  288.    wt: 1:   PostScript For and Against Decimal Perspectives
  289.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  290.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  291.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  292.    wt: 1:   Chapter 23 Links To Trigonometry
  293.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  294.    wt: 1:   Chapter 12. Units and Slopes
  295.    wt: 1:   Chapter 7 Slopes and Velocity
  296.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  297.    wt: 1:   Chapter 2. Slopes and Ski Trails
  298.    wt: 1:   Appendix E. How To Study Mathematics and Why
  299.    wt: 1:   Appendix D. What to do in School and Why
  300.    wt: 1:   Chapter 31 Direct and Indirect Reason
  301.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  302.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  303.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  304.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  305.    wt: 1:   Chapter 20. Degrees and Radians
  306.    wt: 1:   Chapter 19. Functions and Sets
  307.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  308.    wt: 1:   Chapter 12. Shorthand Usage Guide
  309.    wt: 1:   Chapter 11. Why Shorthand
  310.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  311.    wt: 1:   Chapter 10 Transition
  312.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  313.    wt: 1:   Chapter 2 For and Against Mathematics
  314.    wt: 1:   Postscript B More on Story Telling and Reason
  315.    wt: 1:   Chapter 24 Direct and Indirect Reason
  316.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  317.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  318.    wt: 1:   Chapter 18 Sense and Knowledge
  319.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  320.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  321.    wt: 1:   Chapter 10 Responsibility
  322.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  323.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  324.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  325.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  326.    wt: 1:   O On Learning Mathematics and Science
  327.    wt: 1:   N Improving Marks on Tests and Finals
  328.    wt: 1:   J. More on written work and showing skill
  329.    wt: 1:   I. Logic and language skills
  330.    wt: 1:   H Jigsaw puzzles and problem solving
  331.    wt: 1:   G. Written work formats for developing and showing skill
  332.    wt: 1:   E. When and how to correct errors
  333.    wt: 1:   How to Build Skills and Confidence
  334.    wt: 1:   Chapter 8 Skipped Topics and Why
  335.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  336.    wt: 1:   Chapter 6 More Algebra and Geometry
  337.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  338.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  339.    wt: 1:   7 Games and Activities for Instruction
  340.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  341.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  342.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  343.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  344.    wt: 1:   Helping the Blind in Logic and Mathematics
  345.    wt: 1:   More Algebra and Slope based Calculus Preview
  346.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  347.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  348.    wt: 1:   The Math Forum and Site Content

Extended Search

902 matches:

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