Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers in school and out. See site volumes.

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

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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44 matches:

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

Web Page Search

368 matches:

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

Extended Search

713 matches:

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

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

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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