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

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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43 matches:

  1.    wt: 8:   12 Comparison of Unsigned and Signed Numbers/
  2.    wt: 8:   B Decimal Comparing and Subtracting Methods/
  3.    wt: 8:   A Decimal Counting and Adding Methods/
  4.    wt: 7:   D Decimal Long Division Methods/
  5.    wt: 7:   C Decimal Multiplication Methods/
  6.    wt: 6:   11 Squares and Square Roots/
  7.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  8.    wt: 6:   9 Combinatorics Trees Tables and Products/
  9.    wt: 6:   8 Arithmetic with Signed Numbers/
  10.    wt: 6:   7 Arithmetic and Fractions with Units/
  11.    wt: 6:   6 Fractions and Ratios/
  12.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  13.    wt: 6:   3 Prime Factorization Skills/
  14.    wt: 6:   2 Arithmetic with Decimals/
  15.    wt: 5:   5 Integers/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   A Origins of Counting and Figuring Methods/
  19.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  20.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  21.    wt: 1:   Mathematics Skills Year by Year/
  22.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  23.    wt: 1:   12 Function Translating and Rescaling/
  24.    wt: 1:   11 Parallel Straight Lines and Transversals/
  25.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  26.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  27.    wt: 1:   7 Complex Numbers/
  28.    wt: 1:   4 Lines and Slopes Take 1/
  29.    wt: 1:   3 Cartesian and Polar Coordinates/
  30.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  31.    wt: 1:   B Real Numbers Extrinsic Development/
  32.    wt: 1:   9 Proportionality Backwards and Forwards/
  33.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  34.    wt: 1:   5 Real Numbers/
  35.    wt: 1:   4 Computation Rules and Function Notation/
  36.    wt: 1:   Step 1 Stick diagram and fractions/
  37.    wt: 1:   Time Date Matters/
  38.    wt: 1:   Skills with take home value/
  39.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  40.    wt: 1:   13 Lessons on Limits and Continuity/
  41.    wt: 1:   Volume 2 Three Skills For Algebra/
  42.    wt: 1:   Work and Study Tips/
  43.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

370 matches:

  1.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  2.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  3.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  4.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  5.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  6.    wt: 2:   Ramblings Extrinsic numbers theory
  7.    wt: 2:   7 logic review and decimals an odd combination
  8.    wt: 2:   2 Reading and Writing Skills
  9.    wt: 2:   19 Horizontal line rule and method
  10.    wt: 2:   18 Vertical Line Rule and Method
  11.    wt: 2:   Vector and Complex Number Applet
  12.    wt: 2:   14 cosine even and sine and tangent are odd
  13.    wt: 2:   3 Lengths and Areas on Maps and Plans
  14.    wt: 2:   11 Signed Number Addition and Addition Properties
  15.    wt: 2:   B Decimal Comparison and Subtraction
  16.    wt: 2:   7 Decimals Multiplication Methods Examples
  17.    wt: 2:   2 Combing Counts Addition Skills and Principles
  18.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  19.    wt: 2:   4 Comparison of Negative Numbers
  20.    wt: 2:   2 More and Less Than for Counts and Measures
  21.    wt: 2:   1 Real Numbers Comparison
  22.    wt: 2:   16 Real Numbers Comparison
  23.    wt: 2:   10 Real Number Lengths and Signs
  24.    wt: 2:   1 Whole and Natural Numbers
  25.    wt: 2:   5 Talking about Numbers and Quantities
  26.    wt: 2:   4 A Brief Story of numbers and algebra
  27.    wt: 2:   3 Comparison of Negative Numbers
  28.    wt: 2:   1 More and Less Than for Counts and Measures
  29.    wt: 2:   1 Counting and Counting Methods I
  30.    wt: 2:   11 What are real lengths and numbers
  31.    wt: 2:   5 lengths and signs of numbers
  32.    wt: 2:   2 signed and unsigned numbers as coordinates
  33.    wt: 2:   3 Multiplying Units and Numbers
  34.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  35.    wt: 2:   9 Improper Fractions and Mixed Numbers
  36.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  37.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  38.    wt: 2:   8 What skills and work habits to require
  39.    wt: 2:   6. Counting and adding units and mixed units
  40.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  41.    wt: 2:   Quick history of numbers and algebra
  42.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  43.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  44.    wt: 2:   38 Formulas and derivatives for powers and roots
  45.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  46.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  47.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  48.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  49.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  50.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  51.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  52.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  53.    wt: 2:   I. Logic and language skills
  54.    wt: 2:   How to Build Skills and Confidence
  55.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  56.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  57.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  58.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  59.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  60.    wt: 1:   Appendix 1 primary and preschool mathematic
  61.    wt: 1:   G LAMP Introduction Problem Solving Skills
  62.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  63.    wt: 1:   Skills Chapter 5 Calculus
  64.    wt: 1:   Skills Chapter 4 Logic
  65.    wt: 1:   Skills Chapter 3 Algebra
  66.    wt: 1:   Skills Chapter 2 Geometry
  67.    wt: 1:   Skills Chapter 1 Arithmetic
  68.    wt: 1:   Skills Chapter 0 Introduction
  69.    wt: 1:   5 logarithms and exponentials etc
  70.    wt: 1:   2 arithmetic with signed numbers
  71.    wt: 1:   1 arithmetic with unsigned numbers
  72.    wt: 1:   key notes and themes
  73.    wt: 1:   what should be learnt and When
  74.    wt: 1:   standards for course material
  75.    wt: 1:   Theory of Knowledge
  76.    wt: 1:   Education in mathematics science and technology
  77.    wt: 1:   Motivation and Context Problem
  78.    wt: 1:   fairness and inductive principles for instruction
  79.    wt: 1:   Home Tutoring and Home Schooling
  80.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  81.    wt: 1:   24 Standards For Skill Develoment Take II
  82.    wt: 1:   24 Standards For Skill Develoment
  83.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  84.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  85.    wt: 1:   17 Math Booklets for children and young teenagers
  86.    wt: 1:   14 Multiplication and Times Tables
  87.    wt: 1:   13 Addition and Addition Tables
  88.    wt: 1:   12 Goals and Objectives For Mathematics
  89.    wt: 1:   11 Help and Defend Your Child or Teens Education
  90.    wt: 1:   5 Patience Please for Yourself and Your Charges
  91.    wt: 1:   4 Learning Takes Time and Effort
  92.    wt: 1:   1 Speaking Skills
  93.    wt: 1:   Ages 12 to 14 Skills with take home value
  94.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  95.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  96.    wt: 1:   26 Function definitions done and coming
  97.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  98.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  99.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  100.    wt: 1:   17 Function maxima minima and their location
  101.    wt: 1:   11 Function Domain Range Source and Targets
  102.    wt: 1:   9 Set theory term relation possible origins
  103.    wt: 1:   8 Set view of relations and functions
  104.    wt: 1:   6 Set Existence Formation and Notation
  105.    wt: 1:   4 Function notation in and beyond mathematics
  106.    wt: 1:   9 quadratics physical and further context
  107.    wt: 1:   11 Growth and Decay in Biology
  108.    wt: 1:   10 Exponential Growth and Decay Models
  109.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  110.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  111.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  112.    wt: 1:   2 Column Multiplication Method
  113.    wt: 1:   16 cotangent function Definition Graph and Inverse
  114.    wt: 1:   15 cosecant function Definition Graph and Inverse
  115.    wt: 1:   14 secant function Definition Graph and Inverse
  116.    wt: 1:   13 cosecant function Definition Graph and Inverse
  117.    wt: 1:   9 Summary Degrees to Radians and back
  118.    wt: 1:   1 Degrees and Radians Introduction
  119.    wt: 1:   A Global Time and Navigation
  120.    wt: 1:   15 Dot and Cross Product
  121.    wt: 1:   11 Component Method
  122.    wt: 1:   10 Parallelogram Addition Method
  123.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  124.    wt: 1:   Parallel Lines and Parallel Transversals
  125.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  126.    wt: 1:   Parallel Lines and Interior Angles
  127.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  128.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  129.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  130.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  131.    wt: 1:   29 secant cosecant and cotangent for acute angles
  132.    wt: 1:   27 Logarithmic use of products of sines and cosines
  133.    wt: 1:   26 Formulas for products of sines and cosines
  134.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  135.    wt: 1:   21 sine and cosine Half Angle Formulas
  136.    wt: 1:   20 sine and cosine Double Angle Formulas
  137.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  138.    wt: 1:   17E Trig Formulas for dot and cross Products
  139.    wt: 1:   17D cis formulas for sine cosines and tangent
  140.    wt: 1:   17C sine and cosine double triple angle formulas
  141.    wt: 1:   17A The complex number valued trig function cis
  142.    wt: 1:   10 Graphs of sines and cosines many periods
  143.    wt: 1:   9 Graphs of sine and cosine over one period
  144.    wt: 1:   7 period of sine and cosine
  145.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  146.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  147.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  148.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  149.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  150.    wt: 1:   21 Logarithms Powers and Exponentials
  151.    wt: 1:   20 N th Roots of Complex Numbers
  152.    wt: 1:   16 References and Originality Question
  153.    wt: 1:   13 Trig Formulas for dot and cross Products
  154.    wt: 1:   12 cis formulas for sine cosines and tangent
  155.    wt: 1:   11 sine and cosine double triple angle formulas
  156.    wt: 1:   9 The complex number valued trig function cis
  157.    wt: 1:   6 Field Properties of Complex Number
  158.    wt: 1:   2 Complex Numbers made easier we hope
  159.    wt: 1:   Appetizer A Complex Number Applet
  160.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  161.    wt: 1:   3 Trigonometric Ratios sine and cosine
  162.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  163.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  164.    wt: 1:   8 Similarity of Triangles and Polygons
  165.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  166.    wt: 1:   10 Midpoint of [a b] and [b a]
  167.    wt: 1:   7 Exercises to test skill and concept mastery
  168.    wt: 1:   1 Numerical view of lines and their equations
  169.    wt: 1:   What is and is not here
  170.    wt: 1:   7 Complex Numbers Appetizer
  171.    wt: 1:   6 Polar Multiplication and Rotation
  172.    wt: 1:   5 Cartesian Addition and Translation
  173.    wt: 1:   4 Polar Coordinates to and from
  174.    wt: 1:   PS H Distributive Law For Complex Numbers
  175.    wt: 1:   PS B Parallelogram Construction Methods
  176.    wt: 1:   PS A Kite Construction Methods
  177.    wt: 1:   16 Angles Subtended By Chords and Diameters
  178.    wt: 1:   6 Ruler and compass Angle Bisection
  179.    wt: 1:   1 Initial Concepts and Terms
  180.    wt: 1:   musings do not puiblish real numbers
  181.    wt: 1:   A Modular and Remainder Arithmetic
  182.    wt: 1:   A Signed Number Arithmetic Review
  183.    wt: 1:   26 More Less Greater Than Comparison
  184.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  185.    wt: 1:   22 Multiplication of Signed Numbers
  186.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  187.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  188.    wt: 1:   13 Arrows and Vectors in a Plane
  189.    wt: 1:   12 Real Numbers Line Signed Coordinates
  190.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  191.    wt: 1:   8 Division and Mulplication of Compound Fractions
  192.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  193.    wt: 1:   E Long Division Methods more
  194.    wt: 1:   D Long Division Methods
  195.    wt: 1:   C Three Decimal Subtraction Methods
  196.    wt: 1:   A Decimal Addition Columm Methods
  197.    wt: 1:   8 Column Multiplication Methods in General
  198.    wt: 1:   6 Column Methods for Decimal Multiplication
  199.    wt: 1:   5 Distributive Law for Whole Numbers
  200.    wt: 1:   3 Multiplicative Counting Skills Principles
  201.    wt: 1:   1 The Counting Origins of Numbers
  202.    wt: 1:   4 Rates Ratios and Proporitionality
  203.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  204.    wt: 1:   6 Compound Interest Forward and Backwards
  205.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  206.    wt: 1:   6 Equations and Systems Equivalent or Implied
  207.    wt: 1:   4 Subtraction and Division Axioms
  208.    wt: 1:   2 Addition and Multiplication Axioms
  209.    wt: 1:   3 More and Less Than with Unlike Signs
  210.    wt: 1:   15 Real Number Division
  211.    wt: 1:   14 Real Number Multiplication
  212.    wt: 1:   13 Real Number Subtraction
  213.    wt: 1:   12 Real Number Additive Inverses or Negatives
  214.    wt: 1:   11 Real Number Addition
  215.    wt: 1:   8 Coordinates for Maps and Planes
  216.    wt: 1:   7 Real Numbers as Line Cordinates
  217.    wt: 1:   6 Unsigned Real Numbers
  218.    wt: 1:   5 Rational Numbers More
  219.    wt: 1:   4 Rational Numbers
  220.    wt: 1:   3 Geometric Formulas and Function Notation
  221.    wt: 1:   1 Formulas Dependence and Function Notation
  222.    wt: 1:   3 GE III Equation Addition and Multiplication
  223.    wt: 1:   2 GE II Comparison
  224.    wt: 1:   1 Written work formats for developing and showing skill
  225.    wt: 1:   9 Sets in Probability and Statistics
  226.    wt: 1:   8 Sets of Numbers
  227.    wt: 1:   1 Three Skills For Algebra
  228.    wt: 1:   2 More and Less Than with Unlike Signs
  229.    wt: 1:   1 Squares and Square Roots Introduction
  230.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  231.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  232.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  233.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  234.    wt: 1:   7 GCD and LCM from prime factorization
  235.    wt: 1:   4 LCM of 8 and 10 via Prime
  236.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  237.    wt: 1:   2 Least Common Multiple LCM intro via list method
  238.    wt: 1:   3 Counting with Tables and Trees II
  239.    wt: 1:   2 Counting with Tables and Trees I
  240.    wt: 1:   10 dividing signed numbers
  241.    wt: 1:   9 subtracting signed numbers
  242.    wt: 1:   8 multiplying signed numbers
  243.    wt: 1:   7 negative and additive inverse
  244.    wt: 1:   6 adding signed numbers
  245.    wt: 1:   3 signed coordinates for maps and planes
  246.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  247.    wt: 1:   2 Equality and Units
  248.    wt: 1:   1 Addition and Subtraction with Units
  249.    wt: 1:   B Fractions and Two Term Ratios
  250.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  251.    wt: 1:   21 Reciprocals for Fractions and Wholes
  252.    wt: 1:   17 Efficient Ways to Add and Subtract
  253.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  254.    wt: 1:   14 Adding and Subtracting with Like Denominators
  255.    wt: 1:   13 Fraction Comparison Algebraic View
  256.    wt: 1:   12 Fraction Comparison
  257.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  258.    wt: 1:   6 Multiplication of Mixed Numbers
  259.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  260.    wt: 1:   11 Adding Integers Formulas and Examples
  261.    wt: 1:   8 Multiplication by Signed Numbers Integers
  262.    wt: 1:   6 Multiplication by Natural Numbers
  263.    wt: 1:   5 Zero Movement and Additive Inverses
  264.    wt: 1:   17 Identify and Count Factors using Primes
  265.    wt: 1:   12 LCD GCD and LCM using Primes
  266.    wt: 1:   7 Calculator Usage Notes and Cautions
  267.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  268.    wt: 1:   5 Prime Factorization and a Square Rule
  269.    wt: 1:   3 video Primes and Composites from 9 times table
  270.    wt: 1:   2 Prime and Composites less than 16
  271.    wt: 1:   Division with Counts and Length
  272.    wt: 1:   Long Division forwards and backwards Example 3
  273.    wt: 1:   Long Division forwards and backwards Example 2
  274.    wt: 1:   Long Division forwards and backwards Example 1
  275.    wt: 1:   10 Division by Five Long and Short Ways
  276.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  277.    wt: 1:   D Decimal Multiplication Methods Derived
  278.    wt: 1:   A Elementary Basis for Multiplication Methods
  279.    wt: 1:   4 Two and Three Digit Multipliers
  280.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  281.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  282.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  283.    wt: 1:   5. How to add decimals C. Examples
  284.    wt: 1:   4. How to add with decimals B with conversions
  285.    wt: 1:   3. How to add with decimals A sans conversions
  286.    wt: 1:   11 Place Value SI Standard International way
  287.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  288.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  289.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  290.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  291.    wt: 1:   Exact Arithmetic Wholes and Fractions
  292.    wt: 1:   016 Numbering Occidental Calendar Days
  293.    wt: 1:   015 School and work day counting tables
  294.    wt: 1:   011 Division of Time Intervals By Numbers
  295.    wt: 1:   4 Mixing and Changing Units of Time
  296.    wt: 1:   3 Units and Lengths of Time
  297.    wt: 1:   2 Time and Date Matters in School
  298.    wt: 1:   1 Intro of Kids To Time Date Skills
  299.    wt: 1:   Example 1. Area Between x and x squared
  300.    wt: 1:   3 Two Chain Rule Method Exercises
  301.    wt: 1:   1 Chain Rule in Reverse Integration Method
  302.    wt: 1:   17 Derivatives of quotients of sine and cosine
  303.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  304.    wt: 1:   15 sine and cosine derivatives 3rd step
  305.    wt: 1:   14 sine and cosine derivatives 2nd step
  306.    wt: 1:   13 sine and cosine derivatives 1st step
  307.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  308.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  309.    wt: 1:   9 Limits Continuity and Composition
  310.    wt: 1:   5 Jumps and absence of unlimited error control
  311.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  312.    wt: 1:   PostScript For and Against Decimal Perspectives
  313.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  314.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  315.    wt: 1:   Chapter 22 Complex Numbers
  316.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  317.    wt: 1:   Chapter 12. Units and Slopes
  318.    wt: 1:   Chapter 10 Slopes and Units
  319.    wt: 1:   Chapter 7 Slopes and Velocity
  320.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  321.    wt: 1:   Chapter 2. Slopes and Ski Trails
  322.    wt: 1:   Appendix E. How To Study Mathematics and Why
  323.    wt: 1:   Appendix D. What to do in School and Why
  324.    wt: 1:   Chapter 31 Direct and Indirect Reason
  325.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  326.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  327.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  328.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  329.    wt: 1:   Chapter 20. Degrees and Radians
  330.    wt: 1:   Chapter 19. Functions and Sets
  331.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  332.    wt: 1:   Chapter 12. Shorthand Usage Guide
  333.    wt: 1:   Chapter 11. Why Shorthand
  334.    wt: 1:   Chapter 10 Describing and Changing Calculations
  335.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  336.    wt: 1:   Chapter 8 Three Skills For Algebra
  337.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  338.    wt: 1:   Chapter 2 For and Against Mathematics
  339.    wt: 1:   Postscript B More on Story Telling and Reason
  340.    wt: 1:   Chapter 24 Direct and Indirect Reason
  341.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  342.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  343.    wt: 1:   Chapter 18 Sense and Knowledge
  344.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  345.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  346.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  347.    wt: 1:   R Why Learn Mathematics Skills
  348.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  349.    wt: 1:   O On Learning Mathematics and Science
  350.    wt: 1:   L Skills with take home value
  351.    wt: 1:   N Improving Marks on Tests and Finals
  352.    wt: 1:   J. More on written work and showing skill
  353.    wt: 1:   H Jigsaw puzzles and problem solving
  354.    wt: 1:   G. Written work formats for developing and showing skill
  355.    wt: 1:   E. When and how to correct errors
  356.    wt: 1:   Chapter 8 Skipped Topics and Why
  357.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  358.    wt: 1:   Chapter 6 More Algebra and Geometry
  359.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  360.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  361.    wt: 1:   7 Games and Activities for Instruction
  362.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  363.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  364.    wt: 1:   Helping the Blind in Logic and Mathematics
  365.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  366.    wt: 1:   More Algebra and Slope based Calculus Preview
  367.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  368.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  369.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  370.    wt: 1:   The Math Forum and Site Content

Extended Search

711 matches:

  1.    wt: 9:   2 More and Less Than with Unlike Signs
  2.    wt: 9:   Appendix 2 Three Decimal Subtraction Methods
  3.    wt: 9:   4 Subtraction with Conversions Borrows and Letter J
  4.    wt: 9:   3 Harder Cases Convert to Compare and Subtract
  5.    wt: 9:   5. How to add decimals C. Examples
  6.    wt: 9:   4. How to add with decimals B with conversions
  7.    wt: 9:   3. How to add with decimals A sans conversions
  8.    wt: 8:   4 Greater More Less Than Signs in General
  9.    wt: 8:   1 Counting and Counting Methods I
  10.    wt: 8:   11 What are real lengths and numbers
  11.    wt: 8:   5 lengths and signs of numbers
  12.    wt: 8:   2 signed and unsigned numbers as coordinates
  13.    wt: 8:   3 Multiplying Units and Numbers
  14.    wt: 8:   C Equality for Fractions and Two Term Ratios and Fractions
  15.    wt: 8:   9 Improper Fractions and Mixed Numbers
  16.    wt: 8:   A Decimals Modular and Remainder Arithmetic
  17.    wt: 8:   Division with Counts and Length
  18.    wt: 8:   Long Division forwards and backwards Example 3
  19.    wt: 8:   Long Division forwards and backwards Example 2
  20.    wt: 8:   Long Division forwards and backwards Example 1
  21.    wt: 8:   10 Division by Five Long and Short Ways
  22.    wt: 8:   6 Why Decimal Long Division Methods Works Take I
  23.    wt: 8:   D Decimal Multiplication Methods Derived
  24.    wt: 8:   A Elementary Basis for Multiplication Methods
  25.    wt: 8:   4 Two and Three Digit Multipliers
  26.    wt: 8:   Subtraction with J Conversions Example
  27.    wt: 8:   Subtraction Another Video Lesson
  28.    wt: 8:   9 22 Minute Subtraction Review Video
  29.    wt: 8:   8 Subtraction with Units of Measure
  30.    wt: 8:   7 Subtraction for Decimal Fractions with Exercises
  31.    wt: 8:   6 Subtraction with Conversion Example with Exercises
  32.    wt: 8:   5 A Tip for Efficent Subtraction
  33.    wt: 8:   2 Subtraction Easy Case Examples
  34.    wt: 8:   Appendix 1 Counting Revisited 15 minute video
  35.    wt: 8:   7 Adding decimal fractions using decimal point
  36.    wt: 8:   2 Decimal Counting Practices
  37.    wt: 8:   1. Explaining Addition Table
  38.    wt: 7:   1 Squares and Square Roots Introduction
  39.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  40.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  41.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  42.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  43.    wt: 7:   7 GCD and LCM from prime factorization
  44.    wt: 7:   4 LCM of 8 and 10 via Prime
  45.    wt: 7:   LCM 60 45 Avoid List Method Use Prime
  46.    wt: 7:   2 Least Common Multiple LCM intro via list method
  47.    wt: 7:   3 Counting with Tables and Trees II
  48.    wt: 7:   2 Counting with Tables and Trees I
  49.    wt: 7:   10 dividing signed numbers
  50.    wt: 7:   9 subtracting signed numbers
  51.    wt: 7:   8 multiplying signed numbers
  52.    wt: 7:   7 negative and additive inverse
  53.    wt: 7:   6 adding signed numbers
  54.    wt: 7:   3 signed coordinates for maps and planes
  55.    wt: 7:   5 Reciprocals and Division for Fractions with Units
  56.    wt: 7:   2 Equality and Units
  57.    wt: 7:   1 Addition and Subtraction with Units
  58.    wt: 7:   B Fractions and Two Term Ratios
  59.    wt: 7:   A Similarities between Fractions and Two Term Ratios
  60.    wt: 7:   21 Reciprocals for Fractions and Wholes
  61.    wt: 7:   17 Efficient Ways to Add and Subtract
  62.    wt: 7:   15 Adding and Subtracting with Unlike Denominators
  63.    wt: 7:   14 Adding and Subtracting with Like Denominators
  64.    wt: 7:   13 Fraction Comparison Algebraic View
  65.    wt: 7:   12 Fraction Comparison
  66.    wt: 7:   10 Simplification of Fractions and Mixed Numerals
  67.    wt: 7:   6 Multiplication of Mixed Numbers
  68.    wt: 7:   17 Identify and Count Factors using Primes
  69.    wt: 7:   12 LCD GCD and LCM using Primes
  70.    wt: 7:   7 Calculator Usage Notes and Cautions
  71.    wt: 7:   6 Sieve of Eratosthenes and Square Rule
  72.    wt: 7:   5 Prime Factorization and a Square Rule
  73.    wt: 7:   3 video Primes and Composites from 9 times table
  74.    wt: 7:   2 Prime and Composites less than 16
  75.    wt: 7:   Long Division Backwards more
  76.    wt: 7:   Long Division Backward
  77.    wt: 7:   12 Why Long Division Works Take III
  78.    wt: 7:   11 Another Single Digit Divisor Example
  79.    wt: 7:   9 Why Long Division Works Take II
  80.    wt: 7:   8 Correcting the Mistake
  81.    wt: 7:   7 Long Divison Mistake Catching
  82.    wt: 7:   5 Long Division Include Zeroes or not
  83.    wt: 7:   4 Division with 2 Digit Divsors
  84.    wt: 7:   3 Division Single Digit Divisor Example
  85.    wt: 7:   2 Division with Single Digit Divisors
  86.    wt: 7:   1 Divsion Physical Examples
  87.    wt: 7:   C Counting Areas with Powers of Ten
  88.    wt: 7:   B Powers of Ten
  89.    wt: 7:   6 Multiplication Commutes Order Not Important
  90.    wt: 7:   5 Decimal Fraction Multiplication
  91.    wt: 7:   3 More One Digit Multipliers
  92.    wt: 7:   2 One Digit Multipliers
  93.    wt: 7:   Video Decimal Multiplication Geometric View Example 2
  94.    wt: 7:   Video Decimal Multiplication Geometric View Example 2
  95.    wt: 7:   Video Power Notation in Decimal Expansion
  96.    wt: 7:   1 Why 3 times 5 gives 15
  97.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  98.    wt: 7:   Quick history of numbers and algebra
  99.    wt: 7:   Practical Methods Ends and Values for Arithmetic
  100.    wt: 6:   5 Square Roots with primes more still
  101.    wt: 6:   4 Square Roots with primes more
  102.    wt: 6:   3 Properties of Square Roots with example
  103.    wt: 6:   2 Square Roots with Prime
  104.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  105.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  106.    wt: 6:   13 GCD from given Prime Factorization
  107.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  108.    wt: 6:   8 GCD from Euclidean Algorithm
  109.    wt: 6:   6 GCD from Prime
  110.    wt: 6:   5 Common Divisors 60 45 via Prime
  111.    wt: 6:   1 Least Common Multiples LCM Introduction
  112.    wt: 6:   12 GCD 2700 288 via Prime
  113.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  114.    wt: 6:   4 Counting with Trees Product Rule Take I
  115.    wt: 6:   4 signed coordinates for regions in space
  116.    wt: 6:   7 Converting or Changing Units
  117.    wt: 6:   6 Simplification of Fractions with Units
  118.    wt: 6:   4 Fractions with Units
  119.    wt: 6:   D Three Term Ratios
  120.    wt: 6:   22 Complex Compound Fractions
  121.    wt: 6:   21 Working With Signs
  122.    wt: 6:   20 Dividing Fractions the Why
  123.    wt: 6:   19 Dividing Fractions How TO
  124.    wt: 6:   18 Efficient Ways to Multiply
  125.    wt: 6:   16 Addition Subtraction Comparision Compared
  126.    wt: 6:   11 Simplification an Algebraic View
  127.    wt: 6:   8 Numerals Fractionals Quantals Take II
  128.    wt: 6:   7 Numerals Fractionals Quantals
  129.    wt: 6:   6 Multiplication Algebraically Take II
  130.    wt: 6:   5 Equivalent Fractions
  131.    wt: 6:   4 Fraction Multiplication
  132.    wt: 6:   3 Unit fraction of a fraction
  133.    wt: 6:   2 Unit Fraction Multiplication
  134.    wt: 6:   1 What is a fraction Take II
  135.    wt: 6:   1 What is a fraction
  136.    wt: 6:   Fraction Operations by Raising Terms A Simple Innovation
  137.    wt: 6:   C Divisibility by 11 Integer Recognition Method
  138.    wt: 6:   11 Adding Integers Formulas and Examples
  139.    wt: 6:   8 Multiplication by Signed Numbers Integers
  140.    wt: 6:   6 Multiplication by Natural Numbers
  141.    wt: 6:   5 Zero Movement and Additive Inverses
  142.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  143.    wt: 6:   26 Divisibility by 2 3 5 Example
  144.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  145.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  146.    wt: 6:   23 Remainder Arithmetic Modulo 2
  147.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  148.    wt: 6:   21 Remainder Arithmetic Modulo 3
  149.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  150.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  151.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  152.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  153.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  154.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  155.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  156.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  157.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  158.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  159.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  160.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  161.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  162.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  163.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  164.    wt: 6:   5 Remainder Arithmetic Modulo 5
  165.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  166.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  167.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  168.    wt: 6:   1 Remainder Arithmetic Modulo 10
  169.    wt: 6:   20 Uniqueness of Prime Factorization
  170.    wt: 6:   19 video Prime Factorization Unique
  171.    wt: 6:   18 video Count Factors given Prime Factorization
  172.    wt: 6:   16 video Factors of 980 using prime
  173.    wt: 6:   15 video Factors of 20 using Prime Factorization
  174.    wt: 6:   14 video Factors of 24 Take II
  175.    wt: 6:   13 video Factors of 24 using prime
  176.    wt: 6:   11 Efficient Square Rule Use
  177.    wt: 6:   10 video Prime Factorization upto 23 squared
  178.    wt: 6:   9 video Prime Factorization upto 19 squared
  179.    wt: 6:   8 video Prime Factorization upto 19
  180.    wt: 6:   4 video Prime Factorization Introduction
  181.    wt: 6:   1 video how Products are bigger than factor
  182.    wt: 6:   11 Place Value SI Standard International way
  183.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  184.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  185.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  186.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  187.    wt: 6:   Exact Arithmetic Wholes and Fractions
  188.    wt: 5:   arithmetic videos Real Player Format
  189.    wt: 5:   D Remainders Modulo 11 Pair Rule
  190.    wt: 5:   B Integer Long Division Multiple Choices
  191.    wt: 5:   A Associative Law Theorectical Note
  192.    wt: 5:   13 Subtraction with Additive Inverse
  193.    wt: 5:   12 Adding Integers More Examples
  194.    wt: 5:   10 Integer Multiplication Formulas
  195.    wt: 5:   9 Multiplying Integers
  196.    wt: 5:   7 Multiplication by Signs
  197.    wt: 5:   4 Adding Movements wiht opposite directions
  198.    wt: 5:   3 Adding Movements with same direction
  199.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  200.    wt: 5:   1 Integers as Coordinates
  201.    wt: 5:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  202.    wt: 5:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  203.    wt: 5:   5 More on Groups of 3 Place Value in Decimal Fractions
  204.    wt: 5:   4 Groups of 3 Place Value in Decimal Fractions
  205.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  206.    wt: 5:   Formula Evaluation how to show work
  207.    wt: 5:   Expression Evaluation how to show work
  208.    wt: 5:   The 20 Times Table
  209.    wt: 5:   The 12 Times Table Visually
  210.    wt: 5:   About folder contents
  211.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  212.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  213.    wt: 4:   B Decimal Comparison and Subtraction
  214.    wt: 4:   7 Decimals Multiplication Methods Examples
  215.    wt: 4:   2 Combing Counts Addition Skills and Principles
  216.    wt: 4:   4 Comparison of Negative Numbers
  217.    wt: 4:   2 More and Less Than for Counts and Measures
  218.    wt: 4:   1 Real Numbers Comparison
  219.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  220.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  221.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  222.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  223.    wt: 3:   11 Signed Number Addition and Addition Properties
  224.    wt: 3:   E Long Division Methods more
  225.    wt: 3:   D Long Division Methods
  226.    wt: 3:   C Three Decimal Subtraction Methods
  227.    wt: 3:   A Decimal Addition Columm Methods
  228.    wt: 3:   8 Column Multiplication Methods in General
  229.    wt: 3:   6 Column Methods for Decimal Multiplication
  230.    wt: 3:   5 Distributive Law for Whole Numbers
  231.    wt: 3:   3 Multiplicative Counting Skills Principles
  232.    wt: 3:   1 The Counting Origins of Numbers
  233.    wt: 3:   3 More and Less Than with Unlike Signs
  234.    wt: 3:   16 Real Numbers Comparison
  235.    wt: 3:   10 Real Number Lengths and Signs
  236.    wt: 3:   1 Whole and Natural Numbers
  237.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  238.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  239.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  240.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  241.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  242.    wt: 3:   I. Logic and language skills
  243.    wt: 3:   How to Build Skills and Confidence
  244.    wt: 3:   7 Games and Activities for Instruction
  245.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  246.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  247.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  248.    wt: 2:   Ramblings Extrinsic numbers theory
  249.    wt: 2:   7 logic review and decimals an odd combination
  250.    wt: 2:   2 Reading and Writing Skills
  251.    wt: 2:   Ages 12 to 14 Skills with take home value
  252.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  253.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  254.    wt: 2:   19 Horizontal line rule and method
  255.    wt: 2:   18 Vertical Line Rule and Method
  256.    wt: 2:   9 Summary Degrees to Radians and back
  257.    wt: 2:   1 Degrees and Radians Introduction
  258.    wt: 2:   Vector and Complex Number Applet
  259.    wt: 2:   Parallel Lines and Parallel Transversals
  260.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  261.    wt: 2:   Parallel Lines and Interior Angles
  262.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  263.    wt: 2:   14 cosine even and sine and tangent are odd
  264.    wt: 2:   21 Logarithms Powers and Exponentials
  265.    wt: 2:   20 N th Roots of Complex Numbers
  266.    wt: 2:   16 References and Originality Question
  267.    wt: 2:   13 Trig Formulas for dot and cross Products
  268.    wt: 2:   12 cis formulas for sine cosines and tangent
  269.    wt: 2:   11 sine and cosine double triple angle formulas
  270.    wt: 2:   9 The complex number valued trig function cis
  271.    wt: 2:   6 Field Properties of Complex Number
  272.    wt: 2:   2 Complex Numbers made easier we hope
  273.    wt: 2:   Appetizer A Complex Number Applet
  274.    wt: 2:   10 Midpoint of [a b] and [b a]
  275.    wt: 2:   7 Exercises to test skill and concept mastery
  276.    wt: 2:   1 Numerical view of lines and their equations
  277.    wt: 2:   What is and is not here
  278.    wt: 2:   7 Complex Numbers Appetizer
  279.    wt: 2:   6 Polar Multiplication and Rotation
  280.    wt: 2:   5 Cartesian Addition and Translation
  281.    wt: 2:   4 Polar Coordinates to and from
  282.    wt: 2:   PS H Distributive Law For Complex Numbers
  283.    wt: 2:   PS B Parallelogram Construction Methods
  284.    wt: 2:   PS A Kite Construction Methods
  285.    wt: 2:   16 Angles Subtended By Chords and Diameters
  286.    wt: 2:   6 Ruler and compass Angle Bisection
  287.    wt: 2:   1 Initial Concepts and Terms
  288.    wt: 2:   3 Lengths and Areas on Maps and Plans
  289.    wt: 2:   musings do not puiblish real numbers
  290.    wt: 2:   A Modular and Remainder Arithmetic
  291.    wt: 2:   A Signed Number Arithmetic Review
  292.    wt: 2:   26 More Less Greater Than Comparison
  293.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  294.    wt: 2:   22 Multiplication of Signed Numbers
  295.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  296.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  297.    wt: 2:   13 Arrows and Vectors in a Plane
  298.    wt: 2:   12 Real Numbers Line Signed Coordinates
  299.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  300.    wt: 2:   8 Division and Mulplication of Compound Fractions
  301.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  302.    wt: 2:   4 Commutative Law Groups Counting Form
  303.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  304.    wt: 2:   4 Rates Ratios and Proporitionality
  305.    wt: 2:   6 Equations and Systems Equivalent or Implied
  306.    wt: 2:   4 Subtraction and Division Axioms
  307.    wt: 2:   2 Addition and Multiplication Axioms
  308.    wt: 2:   5 Greater More Less Than Signs in General
  309.    wt: 2:   15 Real Number Division
  310.    wt: 2:   14 Real Number Multiplication
  311.    wt: 2:   13 Real Number Subtraction
  312.    wt: 2:   12 Real Number Additive Inverses or Negatives
  313.    wt: 2:   11 Real Number Addition
  314.    wt: 2:   8 Coordinates for Maps and Planes
  315.    wt: 2:   7 Real Numbers as Line Cordinates
  316.    wt: 2:   6 Unsigned Real Numbers
  317.    wt: 2:   5 Rational Numbers More
  318.    wt: 2:   4 Rational Numbers
  319.    wt: 2:   3 Geometric Formulas and Function Notation
  320.    wt: 2:   1 Formulas Dependence and Function Notation
  321.    wt: 2:   5 Talking about Numbers and Quantities
  322.    wt: 2:   4 A Brief Story of numbers and algebra
  323.    wt: 2:   016 Numbering Occidental Calendar Days
  324.    wt: 2:   015 School and work day counting tables
  325.    wt: 2:   011 Division of Time Intervals By Numbers
  326.    wt: 2:   4 Mixing and Changing Units of Time
  327.    wt: 2:   3 Units and Lengths of Time
  328.    wt: 2:   2 Time and Date Matters in School
  329.    wt: 2:   1 Intro of Kids To Time Date Skills
  330.    wt: 2:   Example 1. Area Between x and x squared
  331.    wt: 2:   38 Formulas and derivatives for powers and roots
  332.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  333.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  334.    wt: 2:   9 Limits Continuity and Composition
  335.    wt: 2:   5 Jumps and absence of unlimited error control
  336.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  337.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  338.    wt: 2:   Appendix E. How To Study Mathematics and Why
  339.    wt: 2:   Appendix D. What to do in School and Why
  340.    wt: 2:   Chapter 31 Direct and Indirect Reason
  341.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  342.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  343.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  344.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  345.    wt: 2:   Chapter 20. Degrees and Radians
  346.    wt: 2:   Chapter 19. Functions and Sets
  347.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  348.    wt: 2:   Chapter 12. Shorthand Usage Guide
  349.    wt: 2:   Chapter 11. Why Shorthand
  350.    wt: 2:   Chapter 10 Describing and Changing Calculations
  351.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  352.    wt: 2:   Chapter 8 Three Skills For Algebra
  353.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  354.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  355.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  356.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  357.    wt: 2:   R Why Learn Mathematics Skills
  358.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  359.    wt: 2:   O On Learning Mathematics and Science
  360.    wt: 2:   L Skills with take home value
  361.    wt: 2:   N Improving Marks on Tests and Finals
  362.    wt: 2:   J. More on written work and showing skill
  363.    wt: 2:   H Jigsaw puzzles and problem solving
  364.    wt: 2:   G. Written work formats for developing and showing skill
  365.    wt: 2:   E. When and how to correct errors
  366.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  367.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  368.    wt: 1:   Appendix 1 primary and preschool mathematic
  369.    wt: 1:   G LAMP Introduction Problem Solving Skills
  370.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  371.    wt: 1:   Skills Chapter 5 Calculus
  372.    wt: 1:   Skills Chapter 4 Logic
  373.    wt: 1:   Skills Chapter 3 Algebra
  374.    wt: 1:   Skills Chapter 2 Geometry
  375.    wt: 1:   Skills Chapter 1 Arithmetic
  376.    wt: 1:   Skills Chapter 0 Introduction
  377.    wt: 1:   5 logarithms and exponentials etc
  378.    wt: 1:   2 arithmetic with signed numbers
  379.    wt: 1:   1 arithmetic with unsigned numbers
  380.    wt: 1:   key notes and themes
  381.    wt: 1:   what should be learnt and When
  382.    wt: 1:   standards for course material
  383.    wt: 1:   Theory of Knowledge
  384.    wt: 1:   Education in mathematics science and technology
  385.    wt: 1:   Motivation and Context Problem
  386.    wt: 1:   fairness and inductive principles for instruction
  387.    wt: 1:   Home Tutoring and Home Schooling
  388.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  389.    wt: 1:   24 Standards For Skill Develoment Take II
  390.    wt: 1:   24 Standards For Skill Develoment
  391.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  392.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  393.    wt: 1:   17 Math Booklets for children and young teenagers
  394.    wt: 1:   14 Multiplication and Times Tables
  395.    wt: 1:   13 Addition and Addition Tables
  396.    wt: 1:   12 Goals and Objectives For Mathematics
  397.    wt: 1:   11 Help and Defend Your Child or Teens Education
  398.    wt: 1:   5 Patience Please for Yourself and Your Charges
  399.    wt: 1:   4 Learning Takes Time and Effort
  400.    wt: 1:   1 Speaking Skills
  401.    wt: 1:   Ages 12 to 14 Geometry
  402.    wt: 1:   Ages 12 to 14 Arithmetic
  403.    wt: 1:   Ages 10 to 12 Geometry
  404.    wt: 1:   Ages 10 to 12 Arithmetic
  405.    wt: 1:   Ages 9 to 10
  406.    wt: 1:   Ages 8 to 9
  407.    wt: 1:   Ages 7 to 8
  408.    wt: 1:   Ages 6 to 7
  409.    wt: 1:   Ages 4 plus to 5 plus
  410.    wt: 1:   Ages 3 plus to 4 plus
  411.    wt: 1:   26 Function definitions done and coming
  412.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  413.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  414.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  415.    wt: 1:   17 Function maxima minima and their location
  416.    wt: 1:   11 Function Domain Range Source and Targets
  417.    wt: 1:   9 Set theory term relation possible origins
  418.    wt: 1:   8 Set view of relations and functions
  419.    wt: 1:   6 Set Existence Formation and Notation
  420.    wt: 1:   4 Function notation in and beyond mathematics
  421.    wt: 1:   9 quadratics physical and further context
  422.    wt: 1:   11 Growth and Decay in Biology
  423.    wt: 1:   10 Exponential Growth and Decay Models
  424.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  425.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  426.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  427.    wt: 1:   2 Column Multiplication Method
  428.    wt: 1:   16 cotangent function Definition Graph and Inverse
  429.    wt: 1:   15 cosecant function Definition Graph and Inverse
  430.    wt: 1:   14 secant function Definition Graph and Inverse
  431.    wt: 1:   13 cosecant function Definition Graph and Inverse
  432.    wt: 1:   8 Radian Measures of Common Angles
  433.    wt: 1:   7 Radian Measures in special Triangles
  434.    wt: 1:   6 Radian Measure to Degrees
  435.    wt: 1:   5 Degrees to Radian Measure
  436.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  437.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  438.    wt: 1:   2 Radian Measure Numerical Value of one degree
  439.    wt: 1:   A Global Time and Navigation
  440.    wt: 1:   15 Dot and Cross Product
  441.    wt: 1:   11 Component Method
  442.    wt: 1:   10 Parallelogram Addition Method
  443.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  444.    wt: 1:   4 graphing y=Asin(x c)
  445.    wt: 1:   3 graphing y=f(x c) plus K
  446.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  447.    wt: 1:   1 graphing y=f(x a)
  448.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  449.    wt: 1:   Triangle Angles Sum To 180 Degrees
  450.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  451.    wt: 1:   Straight Lines ASA Intersection Study More
  452.    wt: 1:   Straight Lines ASA Intersection Study
  453.    wt: 1:   Straight Lines Instersection Solving Equations
  454.    wt: 1:   Straight Lines Intersection of
  455.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  456.    wt: 1:   C Straight Lines Slope from Coordinates
  457.    wt: 1:   B Straight Line Slope Scaling Properties More
  458.    wt: 1:   A Straight Line Slope Scaling Properties
  459.    wt: 1:   14 Straight Lines Equations General Case
  460.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  461.    wt: 1:   12 Straight Lines Graphing mx plus b
  462.    wt: 1:   11 Straight Lines Graphing y=mx
  463.    wt: 1:   10 Straight Lines through Origin Equations More
  464.    wt: 1:   9 Straight Lines through Origin Equations
  465.    wt: 1:   8 Straight Lines Equation for vertical
  466.    wt: 1:   7 Tangent Function is odd on this domain
  467.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  468.    wt: 1:   5 Tangent Function Graph
  469.    wt: 1:   4 Tangent Function Properties
  470.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  471.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  472.    wt: 1:   1 Straight Lines Slope Concept
  473.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  474.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  475.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  476.    wt: 1:   29 secant cosecant and cotangent for acute angles
  477.    wt: 1:   27 Logarithmic use of products of sines and cosines
  478.    wt: 1:   26 Formulas for products of sines and cosines
  479.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  480.    wt: 1:   21 sine and cosine Half Angle Formulas
  481.    wt: 1:   20 sine and cosine Double Angle Formulas
  482.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  483.    wt: 1:   17E Trig Formulas for dot and cross Products
  484.    wt: 1:   17D cis formulas for sine cosines and tangent
  485.    wt: 1:   17C sine and cosine double triple angle formulas
  486.    wt: 1:   17A The complex number valued trig function cis
  487.    wt: 1:   10 Graphs of sines and cosines many periods
  488.    wt: 1:   9 Graphs of sine and cosine over one period
  489.    wt: 1:   7 period of sine and cosine
  490.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  491.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  492.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  493.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  494.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  495.    wt: 1:   19 N th Roots of Unity
  496.    wt: 1:   18 Sixth Roots of Unity
  497.    wt: 1:   17 Cube Roots of unity
  498.    wt: 1:   15 Pythagorean Theorem Converse
  499.    wt: 1:   14 Law of cosines
  500.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  501.    wt: 1:   8 Unit Circle Development of Trigonometry
  502.    wt: 1:   7 Second Way to Calculate Products
  503.    wt: 1:   5 An Easy Proof of the Distributive Law
  504.    wt: 1:   4 Multiplication Properties
  505.    wt: 1:   3 Addition Properties
  506.    wt: 1:   1 Rectangular Polar Coordinates Review
  507.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  508.    wt: 1:   3 Trigonometric Ratios sine and cosine
  509.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  510.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  511.    wt: 1:   8 Similarity of Triangles and Polygons
  512.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  513.    wt: 1:   Four Simple Exercises
  514.    wt: 1:   12 Links Lessons elsewhere
  515.    wt: 1:   11 A Partial Summary
  516.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  517.    wt: 1:   8 Mid Point Formula
  518.    wt: 1:   6 Intersection of lines by solving linear systems
  519.    wt: 1:   5 Algebraic View of Slopes
  520.    wt: 1:   4 Equations for lines three forms
  521.    wt: 1:   3 Slope product for perpendicular lines
  522.    wt: 1:   2 point slope equation for a line
  523.    wt: 1:   13 Pythagorean spatial distance formulas
  524.    wt: 1:   12 Spatial Coordinates
  525.    wt: 1:   11 Triangle Inequality
  526.    wt: 1:   10 Pythagorean plane distance formula
  527.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  528.    wt: 1:   8 Distance Between Points on a Line
  529.    wt: 1:   3 Rectangular Coordinates Review
  530.    wt: 1:   2 Cartesian Coordinates with signs
  531.    wt: 1:   1 Cartesian Coordinates sans signs
  532.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  533.    wt: 1:   PS G Rotation Distributes over Addition
  534.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  535.    wt: 1:   PS E Multiplication with Polar Coordinates
  536.    wt: 1:   PS D Addition with Cartesian Coordinates
  537.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  538.    wt: 1:   21 Parallelograms
  539.    wt: 1:   19 Right Triangle Similarity
  540.    wt: 1:   18 Triangle Similarity Take 1
  541.    wt: 1:   17 Right Bisectors of Triangle Sides
  542.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  543.    wt: 1:   14 Parallel Lines Postulate
  544.    wt: 1:   13 Angle Side Angle Failure
  545.    wt: 1:   12 Side Angle Side Failure
  546.    wt: 1:   11 Triangle Construction Fails
  547.    wt: 1:   10 Dropping a perpendicular to line
  548.    wt: 1:   9 Construction of a right bisector
  549.    wt: 1:   8 Isoceles Triangles
  550.    wt: 1:   7 Angle Side Angle
  551.    wt: 1:   5 Side Angle Side
  552.    wt: 1:   4 Side Side Side
  553.    wt: 1:   3 Isometry of Triangles Congruence
  554.    wt: 1:   2 Correspondence between Triangles
  555.    wt: 1:   Short Course on Euclidean Geometry
  556.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  557.    wt: 1:   23 Distributive Law Two Derivations
  558.    wt: 1:   21 Addition of Multiples of a Single Vector
  559.    wt: 1:   19 Signed Multiples of Vectors
  560.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  561.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  562.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  563.    wt: 1:   15 Head to Tails in place Addition Associative
  564.    wt: 1:   9 Division with Digits after Decimal Point
  565.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  566.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  567.    wt: 1:   4 Location of Point in Decimal Addition
  568.    wt: 1:   3 Location of Point in Decimal Multiplication
  569.    wt: 1:   2 Counting Digits in Decimal Multiplication
  570.    wt: 1:   1 Fractions with Finite Decimal Expansions
  571.    wt: 1:   5 Proportionality in Equivalent Fractions
  572.    wt: 1:   3 Proportionality Examples
  573.    wt: 1:   2 Algebraic View
  574.    wt: 1:   1 What is Proportionality
  575.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  576.    wt: 1:   6 Compound Interest Forward and Backwards
  577.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  578.    wt: 1:   5 Equality in Algebra
  579.    wt: 1:   3 Product Axioms Two Forms
  580.    wt: 1:   1 Equivalent Computation Rules
  581.    wt: 1:   9 Coordinates for Regions in Space
  582.    wt: 1:   3 Fractions
  583.    wt: 1:   2 Integers
  584.    wt: 1:   5 Independent versus Dependent Variables
  585.    wt: 1:   4 Changing Letters
  586.    wt: 1:   2 Computation Rules Evaluation
  587.    wt: 1:   3 GE III Equation Addition and Multiplication
  588.    wt: 1:   2 GE II Comparison
  589.    wt: 1:   Skill Development Notes
  590.    wt: 1:   10 One Example
  591.    wt: 1:   9 Three Examples
  592.    wt: 1:   8 One Example
  593.    wt: 1:   7 Two Examples
  594.    wt: 1:   6 Three Examples
  595.    wt: 1:   5 Three Examples
  596.    wt: 1:   4 Two Examples
  597.    wt: 1:   3 Two Examples
  598.    wt: 1:   2 Three Examples
  599.    wt: 1:   1 Written work formats for developing and showing skill
  600.    wt: 1:   9 Sets in Probability and Statistics
  601.    wt: 1:   8 Sets of Numbers
  602.    wt: 1:   1 Three Skills For Algebra
  603.    wt: 1:   014 Counting Days with Calendars
  604.    wt: 1:   013 Travel Time Tables
  605.    wt: 1:   012 Division of Time Intervals by Time Intervals
  606.    wt: 1:   010 Repeated Addition of Time Intervals
  607.    wt: 1:   8 Addition of Time Intervals via subtotaling
  608.    wt: 1:   7 Addition of Time Intervals
  609.    wt: 1:   6 How long is a million seconds
  610.    wt: 1:   5 Conversion Arithmetic
  611.    wt: 1:   Example 2 volume of a cone
  612.    wt: 1:   Example 1 volume of a pyramid
  613.    wt: 1:   Volume of Solid by Cross Sections Lesson
  614.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  615.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  616.    wt: 1:   Example 4 with x function of y
  617.    wt: 1:   Example 3
  618.    wt: 1:   Example 2
  619.    wt: 1:   Example 1
  620.    wt: 1:   Area Between Curves Lesson Take 2
  621.    wt: 1:   Area Between Curves Lesson Take 1
  622.    wt: 1:   Summary
  623.    wt: 1:   3 Two Chain Rule Method Exercises
  624.    wt: 1:   1 Chain Rule in Reverse Integration Method
  625.    wt: 1:   17 Derivatives of quotients of sine and cosine
  626.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  627.    wt: 1:   15 sine and cosine derivatives 3rd step
  628.    wt: 1:   14 sine and cosine derivatives 2nd step
  629.    wt: 1:   13 sine and cosine derivatives 1st step
  630.    wt: 1:   11 Limits at infinity Three Examples
  631.    wt: 1:   10 Three one sided limits with infinite values
  632.    wt: 1:   8 Four Animated Examples
  633.    wt: 1:   7 Evaluation by immediate or delayed substitution
  634.    wt: 1:   6 Continuity at a point
  635.    wt: 1:   4 Numerical properties
  636.    wt: 1:   3 Decimal insights for limits continuity convergence
  637.    wt: 1:   2 Algebraic codification
  638.    wt: 1:   1 Numerical introduction
  639.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  640.    wt: 1:   PostScript For and Against Decimal Perspectives
  641.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  642.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  643.    wt: 1:   Chapter 22 Complex Numbers
  644.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  645.    wt: 1:   Chapter 12. Units and Slopes
  646.    wt: 1:   Chapter 10 Slopes and Units
  647.    wt: 1:   Chapter 7 Slopes and Velocity
  648.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  649.    wt: 1:   Chapter 2. Slopes and Ski Trails
  650.    wt: 1:   Postscript More on Better Performance
  651.    wt: 1:   Postscript For Better Performance
  652.    wt: 1:   Appendix C. How to Read
  653.    wt: 1:   Appendix B. How To Learn
  654.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  655.    wt: 1:   Chapter 30 Truth Tables
  656.    wt: 1:   Chapter 28 Occurrence Tables
  657.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  658.    wt: 1:   Chapter 25. Mathematical Induction Examples
  659.    wt: 1:   Chapter 23. Notation For Sums
  660.    wt: 1:   Chapter 21. Third Reading Guide
  661.    wt: 1:   Chapter 18. Rules for Algebra
  662.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  663.    wt: 1:   Chapter 16. Painless Theorem Proving
  664.    wt: 1:   Chapter 15. Solving Linear Equations
  665.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  666.    wt: 1:   Chapter 13. Second Reading Guide
  667.    wt: 1:   Postscript What is a Variable
  668.    wt: 1:   Solutions For Arithmetic Exercises
  669.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  670.    wt: 1:   Chapter 6 Change of Language
  671.    wt: 1:   Chapter 4 Longer Chains of Reason
  672.    wt: 1:   Chapter 3 Chains of Reason
  673.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  674.    wt: 1:   Foreword
  675.    wt: 1:   Chapter 2 For and Against Mathematics
  676.    wt: 1:   Postscript B More on Story Telling and Reason
  677.    wt: 1:   Chapter 24 Direct and Indirect Reason
  678.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  679.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  680.    wt: 1:   Chapter 18 Sense and Knowledge
  681.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  682.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  683.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  684.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  685.    wt: 1:   S Adding words to algebra
  686.    wt: 1:   N Mathematics Prepare for College Studies
  687.    wt: 1:   M Words to extend arithmetic
  688.    wt: 1:   H more Routine to non routine problem solving
  689.    wt: 1:   F. The student teacher tutor feedback loop
  690.    wt: 1:   D. Check work a must with a caution
  691.    wt: 1:   C. Domino effect of being careful
  692.    wt: 1:   B. Domino effect of errors
  693.    wt: 1:   A. Skill has to be seen to believed
  694.    wt: 1:   Chapter 8 Skipped Topics and Why
  695.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  696.    wt: 1:   Chapter 6 More Algebra and Geometry
  697.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  698.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  699.    wt: 1:   Helping the Blind in Logic and Mathematics
  700.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  701.    wt: 1:   More Algebra and Slope based Calculus Preview
  702.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  703.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  704.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  705.    wt: 1:   The Math Forum and Site Content
  706.    wt: 11:   Appendix 1 Decimals Comparison Method Take II
  707.    wt: 10:   3 Comparison of Negative Numbers
  708.    wt: 10:   1 More and Less Than for Counts and Measures
  709.    wt: 10:   1 Comparison and Subtraction Easy Direct Cases
  710.    wt: 10:   8 What skills and work habits to require
  711.    wt: 10:   6. Counting and adding units and mixed units

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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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