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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45 matches:

  1.    wt: 9:   6 Fractions and Ratios/
  2.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
  3.    wt: 7:   7 Arithmetic and Fractions with Units/
  4.    wt: 6:   11 Squares and Square Roots/
  5.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  6.    wt: 6:   9 Combinatorics Trees Tables and Products/
  7.    wt: 6:   8 Arithmetic with Signed Numbers/
  8.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  9.    wt: 6:   3 Prime Factorization Skills/
  10.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 6:   A Decimal Counting and Adding Methods/
  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:   2 Formula Forward Use Evaluation/
  39.    wt: 1:   Time Date Matters/
  40.    wt: 1:   Skills with take home value/
  41.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  42.    wt: 1:   13 Lessons on Limits and Continuity/
  43.    wt: 1:   Volume 2 Three Skills For Algebra/
  44.    wt: 1:   Work and Study Tips/
  45.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

397 matches:

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

Extended Search

739 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:   11 Simplification an Algebraic View
  8.    wt: 9:   6 Multiplication Algebraically Take II
  9.    wt: 8:   3 Comparison of Negative Numbers
  10.    wt: 8:   2 More and Less Than with Unlike Signs
  11.    wt: 8:   11 What are real lengths and numbers
  12.    wt: 8:   5 lengths and signs of numbers
  13.    wt: 8:   2 signed and unsigned numbers as coordinates
  14.    wt: 8:   6 Simplification of Fractions with Units
  15.    wt: 8:   4 Fractions with Units
  16.    wt: 8:   2 Equality and Units
  17.    wt: 8:   1 Addition and Subtraction with Units
  18.    wt: 8:   6 Sieve of Eratosthenes and Square Rule
  19.    wt: 8:   8 What skills and work habits to require
  20.    wt: 8:   6. Counting and adding units and mixed units
  21.    wt: 7:   4 Greater More Less Than Signs in General
  22.    wt: 7:   1 Squares and Square Roots Introduction
  23.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  24.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  25.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  26.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  27.    wt: 7:   7 GCD and LCM from prime factorization
  28.    wt: 7:   4 LCM of 8 and 10 via Prime
  29.    wt: 7:   3 Counting with Tables and Trees II
  30.    wt: 7:   2 Counting with Tables and Trees I
  31.    wt: 7:   1 Counting and Counting Methods I
  32.    wt: 7:   10 dividing signed numbers
  33.    wt: 7:   9 subtracting signed numbers
  34.    wt: 7:   8 multiplying signed numbers
  35.    wt: 7:   7 negative and additive inverse
  36.    wt: 7:   6 adding signed numbers
  37.    wt: 7:   3 signed coordinates for maps and planes
  38.    wt: 7:   7 Converting or Changing Units
  39.    wt: 7:   11 Adding Integers Formulas and Examples
  40.    wt: 7:   6 Multiplication by Natural Numbers
  41.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  42.    wt: 7:   17 Identify and Count Factors using Primes
  43.    wt: 7:   12 LCD GCD and LCM using Primes
  44.    wt: 7:   7 Calculator Usage Notes and Cautions
  45.    wt: 7:   5 Prime Factorization and a Square Rule
  46.    wt: 7:   3 video Primes and Composites from 9 times table
  47.    wt: 7:   2 Prime and Composites less than 16
  48.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  49.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  50.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  51.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  52.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  53.    wt: 7:   7 Adding decimal fractions using decimal point
  54.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  55.    wt: 7:   Quick history of numbers and algebra
  56.    wt: 7:   Exact Arithmetic Wholes and Fractions
  57.    wt: 6:   5 Square Roots with primes more still
  58.    wt: 6:   4 Square Roots with primes more
  59.    wt: 6:   3 Properties of Square Roots with example
  60.    wt: 6:   2 Square Roots with Prime
  61.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  62.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  63.    wt: 6:   13 GCD from given Prime Factorization
  64.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  65.    wt: 6:   8 GCD from Euclidean Algorithm
  66.    wt: 6:   6 GCD from Prime
  67.    wt: 6:   5 Common Divisors 60 45 via Prime
  68.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  69.    wt: 6:   2 Least Common Multiple LCM intro via list method
  70.    wt: 6:   1 Least Common Multiples LCM Introduction
  71.    wt: 6:   12 GCD 2700 288 via Prime
  72.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  73.    wt: 6:   4 Counting with Trees Product Rule Take I
  74.    wt: 6:   4 signed coordinates for regions in space
  75.    wt: 6:   10 Integer Multiplication Formulas
  76.    wt: 6:   8 Multiplication by Signed Numbers Integers
  77.    wt: 6:   5 Zero Movement and Additive Inverses
  78.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  79.    wt: 6:   26 Divisibility by 2 3 5 Example
  80.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  81.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  82.    wt: 6:   23 Remainder Arithmetic Modulo 2
  83.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  84.    wt: 6:   21 Remainder Arithmetic Modulo 3
  85.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  86.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  87.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  88.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  89.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  90.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  91.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  92.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  93.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  94.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  95.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  96.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  97.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  98.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  99.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  100.    wt: 6:   5 Remainder Arithmetic Modulo 5
  101.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  102.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  103.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  104.    wt: 6:   1 Remainder Arithmetic Modulo 10
  105.    wt: 6:   20 Uniqueness of Prime Factorization
  106.    wt: 6:   19 video Prime Factorization Unique
  107.    wt: 6:   18 video Count Factors given Prime Factorization
  108.    wt: 6:   16 video Factors of 980 using prime
  109.    wt: 6:   15 video Factors of 20 using Prime Factorization
  110.    wt: 6:   14 video Factors of 24 Take II
  111.    wt: 6:   13 video Factors of 24 using prime
  112.    wt: 6:   11 Efficient Square Rule Use
  113.    wt: 6:   10 video Prime Factorization upto 23 squared
  114.    wt: 6:   9 video Prime Factorization upto 19 squared
  115.    wt: 6:   8 video Prime Factorization upto 19
  116.    wt: 6:   4 video Prime Factorization Introduction
  117.    wt: 6:   1 video how Products are bigger than factor
  118.    wt: 6:   Division with Counts and Length
  119.    wt: 6:   Long Division forwards and backwards Example 3
  120.    wt: 6:   Long Division forwards and backwards Example 2
  121.    wt: 6:   Long Division forwards and backwards Example 1
  122.    wt: 6:   10 Division by Five Long and Short Ways
  123.    wt: 6:   7 Long Divison Mistake Catching
  124.    wt: 6:   6 Why Decimal Long Division Methods Works Take I
  125.    wt: 6:   6 Multiplication Commutes Order Not Important
  126.    wt: 6:   5 Decimal Fraction Multiplication
  127.    wt: 6:   4 Two and Three Digit Multipliers
  128.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  129.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  130.    wt: 6:   Subtraction with J Conversions Example
  131.    wt: 6:   Subtraction Another Video Lesson
  132.    wt: 6:   9 22 Minute Subtraction Review Video
  133.    wt: 6:   8 Subtraction with Units of Measure
  134.    wt: 6:   5 A Tip for Efficent Subtraction
  135.    wt: 6:   2 Subtraction Easy Case Examples
  136.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  137.    wt: 6:   5. How to add decimals C. Examples
  138.    wt: 6:   4. How to add with decimals B with conversions
  139.    wt: 6:   3. How to add with decimals A sans conversions
  140.    wt: 6:   2 Decimal Counting Practices
  141.    wt: 6:   1. Explaining Addition Table
  142.    wt: 6:   11 Place Value SI Standard International way
  143.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  144.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  145.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  146.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  147.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  148.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  149.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  150.    wt: 6:   Formula Evaluation how to show work
  151.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  152.    wt: 5:   arithmetic videos Real Player Format
  153.    wt: 5:   D Remainders Modulo 11 Pair Rule
  154.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  155.    wt: 5:   B Integer Long Division Multiple Choices
  156.    wt: 5:   A Associative Law Theorectical Note
  157.    wt: 5:   13 Subtraction with Additive Inverse
  158.    wt: 5:   12 Adding Integers More Examples
  159.    wt: 5:   9 Multiplying Integers
  160.    wt: 5:   7 Multiplication by Signs
  161.    wt: 5:   4 Adding Movements wiht opposite directions
  162.    wt: 5:   3 Adding Movements with same direction
  163.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  164.    wt: 5:   1 Integers as Coordinates
  165.    wt: 5:   Long Division Backwards more
  166.    wt: 5:   Long Division Backward
  167.    wt: 5:   12 Why Long Division Works Take III
  168.    wt: 5:   11 Another Single Digit Divisor Example
  169.    wt: 5:   9 Why Long Division Works Take II
  170.    wt: 5:   8 Correcting the Mistake
  171.    wt: 5:   5 Long Division Include Zeroes or not
  172.    wt: 5:   4 Division with 2 Digit Divsors
  173.    wt: 5:   3 Division Single Digit Divisor Example
  174.    wt: 5:   2 Division with Single Digit Divisors
  175.    wt: 5:   1 Divsion Physical Examples
  176.    wt: 5:   D Decimal Multiplication Methods Derived
  177.    wt: 5:   C Counting Areas with Powers of Ten
  178.    wt: 5:   B Powers of Ten
  179.    wt: 5:   A Elementary Basis for Multiplication Methods
  180.    wt: 5:   3 More One Digit Multipliers
  181.    wt: 5:   2 One Digit Multipliers
  182.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  183.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  184.    wt: 5:   Video Power Notation in Decimal Expansion
  185.    wt: 5:   1 Why 3 times 5 gives 15
  186.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  187.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  188.    wt: 5:   Expression Evaluation how to show work
  189.    wt: 5:   The 20 Times Table
  190.    wt: 5:   The 12 Times Table Visually
  191.    wt: 5:   About folder contents
  192.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  193.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  194.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  195.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  196.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  197.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  198.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  199.    wt: 3:   13 Trig Formulas for dot and cross Products
  200.    wt: 3:   12 cis formulas for sine cosines and tangent
  201.    wt: 3:   11 sine and cosine double triple angle formulas
  202.    wt: 3:   6 Field Properties of Complex Number
  203.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  204.    wt: 3:   3 Trigonometric Ratios sine and cosine
  205.    wt: 3:   6 Polar Multiplication and Rotation
  206.    wt: 3:   6 Ruler and compass Angle Bisection
  207.    wt: 3:   11 Signed Number Addition and Addition Properties
  208.    wt: 3:   8 Division and Mulplication of Compound Fractions
  209.    wt: 3:   2 Combing Counts Addition Skills and Principles
  210.    wt: 3:   4 Rates Ratios and Proporitionality
  211.    wt: 3:   2 More and Less Than for Counts and Measures
  212.    wt: 3:   10 Real Number Lengths and Signs
  213.    wt: 3:   1 Whole and Natural Numbers
  214.    wt: 3:   3 Geometric Formulas and Function Notation
  215.    wt: 3:   1 Formulas Dependence and Function Notation
  216.    wt: 3:   6 Three Examples
  217.    wt: 3:   38 Formulas and derivatives for powers and roots
  218.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  219.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  220.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  221.    wt: 3:   I. Logic and language skills
  222.    wt: 3:   How to Build Skills and Confidence
  223.    wt: 3:   7 Games and Activities for Instruction
  224.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  225.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  226.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  227.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  228.    wt: 2:   Ramblings Extrinsic numbers theory
  229.    wt: 2:   2 Reading and Writing Skills
  230.    wt: 2:   Ages 12 to 14 Skills with take home value
  231.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  232.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  233.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  234.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  235.    wt: 2:   9 Summary Degrees to Radians and back
  236.    wt: 2:   1 Degrees and Radians Introduction
  237.    wt: 2:   Vector and Complex Number Applet
  238.    wt: 2:   Parallel Lines and Parallel Transversals
  239.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  240.    wt: 2:   Parallel Lines and Interior Angles
  241.    wt: 2:   26 Formulas for products of sines and cosines
  242.    wt: 2:   21 sine and cosine Half Angle Formulas
  243.    wt: 2:   20 sine and cosine Double Angle Formulas
  244.    wt: 2:   17E Trig Formulas for dot and cross Products
  245.    wt: 2:   17D cis formulas for sine cosines and tangent
  246.    wt: 2:   17C sine and cosine double triple angle formulas
  247.    wt: 2:   14 cosine even and sine and tangent are odd
  248.    wt: 2:   21 Logarithms Powers and Exponentials
  249.    wt: 2:   20 N th Roots of Complex Numbers
  250.    wt: 2:   16 References and Originality Question
  251.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  252.    wt: 2:   9 The complex number valued trig function cis
  253.    wt: 2:   2 Complex Numbers made easier we hope
  254.    wt: 2:   Appetizer A Complex Number Applet
  255.    wt: 2:   7 Trignometric Ratios Unit Circle
  256.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  257.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  258.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  259.    wt: 2:   10 Midpoint of [a b] and [b a]
  260.    wt: 2:   8 Mid Point Formula
  261.    wt: 2:   7 Exercises to test skill and concept mastery
  262.    wt: 2:   6 Intersection of lines by solving linear systems
  263.    wt: 2:   1 Numerical view of lines and their equations
  264.    wt: 2:   What is and is not here
  265.    wt: 2:   13 Pythagorean spatial distance formulas
  266.    wt: 2:   10 Pythagorean plane distance formula
  267.    wt: 2:   7 Complex Numbers Appetizer
  268.    wt: 2:   5 Cartesian Addition and Translation
  269.    wt: 2:   4 Polar Coordinates to and from
  270.    wt: 2:   PS H Distributive Law For Complex Numbers
  271.    wt: 2:   16 Angles Subtended By Chords and Diameters
  272.    wt: 2:   1 Initial Concepts and Terms
  273.    wt: 2:   3 Lengths and Areas on Maps and Plans
  274.    wt: 2:   musings do not puiblish real numbers
  275.    wt: 2:   A Modular and Remainder Arithmetic
  276.    wt: 2:   A Signed Number Arithmetic Review
  277.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  278.    wt: 2:   22 Multiplication of Signed Numbers
  279.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  280.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  281.    wt: 2:   13 Arrows and Vectors in a Plane
  282.    wt: 2:   12 Real Numbers Line Signed Coordinates
  283.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  284.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  285.    wt: 2:   1 Fractions with Finite Decimal Expansions
  286.    wt: 2:   B Decimal Comparison and Subtraction
  287.    wt: 2:   6 Column Methods for Decimal Multiplication
  288.    wt: 2:   5 Distributive Law for Whole Numbers
  289.    wt: 2:   3 Multiplicative Counting Skills Principles
  290.    wt: 2:   1 The Counting Origins of Numbers
  291.    wt: 2:   5 Proportionality in Equivalent Fractions
  292.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  293.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  294.    wt: 2:   6 Equations and Systems Equivalent or Implied
  295.    wt: 2:   4 Subtraction and Division Axioms
  296.    wt: 2:   2 Addition and Multiplication Axioms
  297.    wt: 2:   4 Comparison of Negative Numbers
  298.    wt: 2:   3 More and Less Than with Unlike Signs
  299.    wt: 2:   1 Real Numbers Comparison
  300.    wt: 2:   16 Real Numbers Comparison
  301.    wt: 2:   15 Real Number Division
  302.    wt: 2:   14 Real Number Multiplication
  303.    wt: 2:   13 Real Number Subtraction
  304.    wt: 2:   12 Real Number Additive Inverses or Negatives
  305.    wt: 2:   11 Real Number Addition
  306.    wt: 2:   8 Coordinates for Maps and Planes
  307.    wt: 2:   7 Real Numbers as Line Cordinates
  308.    wt: 2:   6 Unsigned Real Numbers
  309.    wt: 2:   5 Rational Numbers More
  310.    wt: 2:   4 Rational Numbers
  311.    wt: 2:   3 Fractions
  312.    wt: 2:   Skill Development Notes
  313.    wt: 2:   10 One Example
  314.    wt: 2:   9 Three Examples
  315.    wt: 2:   8 One Example
  316.    wt: 2:   7 Two Examples
  317.    wt: 2:   5 Three Examples
  318.    wt: 2:   4 Two Examples
  319.    wt: 2:   3 Two Examples
  320.    wt: 2:   2 Three Examples
  321.    wt: 2:   13 Naming Identifying Formulas with Words
  322.    wt: 2:   8 Compound Interest Formula Evaluation
  323.    wt: 2:   7 Compound Interest Formula Introduction
  324.    wt: 2:   5 Box Volume Formula Example
  325.    wt: 2:   4 Circle Area Formula Example
  326.    wt: 2:   3 Triangle Area Formula Example
  327.    wt: 2:   2 Another Rectangle Area Formula Example
  328.    wt: 2:   1 Written work formats for developing and showing skill
  329.    wt: 2:   5 Talking about Numbers and Quantities
  330.    wt: 2:   4 A Brief Story of numbers and algebra
  331.    wt: 2:   016 Numbering Occidental Calendar Days
  332.    wt: 2:   015 School and work day counting tables
  333.    wt: 2:   011 Division of Time Intervals By Numbers
  334.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  335.    wt: 2:   4 Mixing and Changing Units of Time
  336.    wt: 2:   3 Units and Lengths of Time
  337.    wt: 2:   2 Time and Date Matters in School
  338.    wt: 2:   1 Intro of Kids To Time Date Skills
  339.    wt: 2:   Example 1. Area Between x and x squared
  340.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  341.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  342.    wt: 2:   9 Limits Continuity and Composition
  343.    wt: 2:   5 Jumps and absence of unlimited error control
  344.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  345.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  346.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  347.    wt: 2:   Appendix E. How To Study Mathematics and Why
  348.    wt: 2:   Appendix D. What to do in School and Why
  349.    wt: 2:   Chapter 31 Direct and Indirect Reason
  350.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  351.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  352.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  353.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  354.    wt: 2:   Chapter 20. Degrees and Radians
  355.    wt: 2:   Chapter 19. Functions and Sets
  356.    wt: 2:   Chapter 12. Shorthand Usage Guide
  357.    wt: 2:   Chapter 11. Why Shorthand
  358.    wt: 2:   Chapter 10 Describing and Changing Calculations
  359.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  360.    wt: 2:   Chapter 8 Three Skills For Algebra
  361.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  362.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  363.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  364.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  365.    wt: 2:   R Why Learn Mathematics Skills
  366.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  367.    wt: 2:   O On Learning Mathematics and Science
  368.    wt: 2:   L Skills with take home value
  369.    wt: 2:   N Improving Marks on Tests and Finals
  370.    wt: 2:   J. More on written work and showing skill
  371.    wt: 2:   H Jigsaw puzzles and problem solving
  372.    wt: 2:   G. Written work formats for developing and showing skill
  373.    wt: 2:   E. When and how to correct errors
  374.    wt: 1:   Appendix 1 primary and preschool mathematic
  375.    wt: 1:   G LAMP Introduction Problem Solving Skills
  376.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  377.    wt: 1:   Skills Chapter 5 Calculus
  378.    wt: 1:   Skills Chapter 4 Logic
  379.    wt: 1:   Skills Chapter 3 Algebra
  380.    wt: 1:   Skills Chapter 2 Geometry
  381.    wt: 1:   Skills Chapter 1 Arithmetic
  382.    wt: 1:   Skills Chapter 0 Introduction
  383.    wt: 1:   7 logic review and decimals an odd combination
  384.    wt: 1:   5 logarithms and exponentials etc
  385.    wt: 1:   2 arithmetic with signed numbers
  386.    wt: 1:   1 arithmetic with unsigned numbers
  387.    wt: 1:   key notes and themes
  388.    wt: 1:   what should be learnt and When
  389.    wt: 1:   standards for course material
  390.    wt: 1:   Theory of Knowledge
  391.    wt: 1:   Education in mathematics science and technology
  392.    wt: 1:   Motivation and Context Problem
  393.    wt: 1:   fairness and inductive principles for instruction
  394.    wt: 1:   Home Tutoring and Home Schooling
  395.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  396.    wt: 1:   24 Standards For Skill Develoment Take II
  397.    wt: 1:   24 Standards For Skill Develoment
  398.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  399.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  400.    wt: 1:   17 Math Booklets for children and young teenagers
  401.    wt: 1:   14 Multiplication and Times Tables
  402.    wt: 1:   13 Addition and Addition Tables
  403.    wt: 1:   12 Goals and Objectives For Mathematics
  404.    wt: 1:   11 Help and Defend Your Child or Teens Education
  405.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  406.    wt: 1:   5 Patience Please for Yourself and Your Charges
  407.    wt: 1:   4 Learning Takes Time and Effort
  408.    wt: 1:   1 Speaking Skills
  409.    wt: 1:   Ages 12 to 14 Geometry
  410.    wt: 1:   Ages 12 to 14 Arithmetic
  411.    wt: 1:   Ages 10 to 12 Geometry
  412.    wt: 1:   Ages 10 to 12 Arithmetic
  413.    wt: 1:   Ages 9 to 10
  414.    wt: 1:   Ages 8 to 9
  415.    wt: 1:   Ages 7 to 8
  416.    wt: 1:   Ages 6 to 7
  417.    wt: 1:   Ages 4 plus to 5 plus
  418.    wt: 1:   Ages 3 plus to 4 plus
  419.    wt: 1:   26 Function definitions done and coming
  420.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  421.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  422.    wt: 1:   19 Horizontal line rule and method
  423.    wt: 1:   18 Vertical Line Rule and Method
  424.    wt: 1:   17 Function maxima minima and their location
  425.    wt: 1:   11 Function Domain Range Source and Targets
  426.    wt: 1:   9 Set theory term relation possible origins
  427.    wt: 1:   8 Set view of relations and functions
  428.    wt: 1:   6 Set Existence Formation and Notation
  429.    wt: 1:   4 Function notation in and beyond mathematics
  430.    wt: 1:   3 Formula or function graphing exercise
  431.    wt: 1:   9 quadratics physical and further context
  432.    wt: 1:   8 quadratics backward use of various formulas
  433.    wt: 1:   11 Growth and Decay in Biology
  434.    wt: 1:   10 Exponential Growth and Decay Models
  435.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  436.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  437.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  438.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  439.    wt: 1:   16 cotangent function Definition Graph and Inverse
  440.    wt: 1:   15 cosecant function Definition Graph and Inverse
  441.    wt: 1:   14 secant function Definition Graph and Inverse
  442.    wt: 1:   13 cosecant function Definition Graph and Inverse
  443.    wt: 1:   8 Radian Measures of Common Angles
  444.    wt: 1:   7 Radian Measures in special Triangles
  445.    wt: 1:   6 Radian Measure to Degrees
  446.    wt: 1:   5 Degrees to Radian Measure
  447.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  448.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  449.    wt: 1:   2 Radian Measure Numerical Value of one degree
  450.    wt: 1:   A Global Time and Navigation
  451.    wt: 1:   15 Dot and Cross Product
  452.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  453.    wt: 1:   4 graphing y=Asin(x c)
  454.    wt: 1:   3 graphing y=f(x c) plus K
  455.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  456.    wt: 1:   1 graphing y=f(x a)
  457.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  458.    wt: 1:   Triangle Angles Sum To 180 Degrees
  459.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  460.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  461.    wt: 1:   Straight Lines ASA Intersection Study More
  462.    wt: 1:   Straight Lines ASA Intersection Study
  463.    wt: 1:   Straight Lines Instersection Solving Equations
  464.    wt: 1:   Straight Lines Intersection of
  465.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  466.    wt: 1:   C Straight Lines Slope from Coordinates
  467.    wt: 1:   B Straight Line Slope Scaling Properties More
  468.    wt: 1:   A Straight Line Slope Scaling Properties
  469.    wt: 1:   14 Straight Lines Equations General Case
  470.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  471.    wt: 1:   12 Straight Lines Graphing mx plus b
  472.    wt: 1:   11 Straight Lines Graphing y=mx
  473.    wt: 1:   10 Straight Lines through Origin Equations More
  474.    wt: 1:   9 Straight Lines through Origin Equations
  475.    wt: 1:   8 Straight Lines Equation for vertical
  476.    wt: 1:   7 Tangent Function is odd on this domain
  477.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  478.    wt: 1:   5 Tangent Function Graph
  479.    wt: 1:   4 Tangent Function Properties
  480.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  481.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  482.    wt: 1:   1 Straight Lines Slope Concept
  483.    wt: 1:   17 tangent function angle sum formulas
  484.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  485.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  486.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  487.    wt: 1:   29 secant cosecant and cotangent for acute angles
  488.    wt: 1:   27 Logarithmic use of products of sines and cosines
  489.    wt: 1:   25 tangent double angle formula Slope connection
  490.    wt: 1:   24 tangent Angle Difference Formula
  491.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  492.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  493.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  494.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  495.    wt: 1:   17A The complex number valued trig function cis
  496.    wt: 1:   10 Graphs of sines and cosines many periods
  497.    wt: 1:   9 Graphs of sine and cosine over one period
  498.    wt: 1:   7 period of sine and cosine
  499.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  500.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  501.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  502.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  503.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  504.    wt: 1:   19 N th Roots of Unity
  505.    wt: 1:   18 Sixth Roots of Unity
  506.    wt: 1:   17 Cube Roots of unity
  507.    wt: 1:   15 Pythagorean Theorem Converse
  508.    wt: 1:   14 Law of cosines
  509.    wt: 1:   8 Unit Circle Development of Trigonometry
  510.    wt: 1:   7 Second Way to Calculate Products
  511.    wt: 1:   5 An Easy Proof of the Distributive Law
  512.    wt: 1:   4 Multiplication Properties
  513.    wt: 1:   3 Addition Properties
  514.    wt: 1:   1 Rectangular Polar Coordinates Review
  515.    wt: 1:   8 Triangles Cascade Problem Solving
  516.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  517.    wt: 1:   1 Angle Measurement with Degrees
  518.    wt: 1:   Why Trigonometry the whyslopes view
  519.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  520.    wt: 1:   8 Similarity of Triangles and Polygons
  521.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  522.    wt: 1:   Four Simple Exercises
  523.    wt: 1:   12 Links Lessons elsewhere
  524.    wt: 1:   11 A Partial Summary
  525.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  526.    wt: 1:   5 Algebraic View of Slopes
  527.    wt: 1:   4 Equations for lines three forms
  528.    wt: 1:   3 Slope product for perpendicular lines
  529.    wt: 1:   2 point slope equation for a line
  530.    wt: 1:   12 Spatial Coordinates
  531.    wt: 1:   11 Triangle Inequality
  532.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  533.    wt: 1:   8 Distance Between Points on a Line
  534.    wt: 1:   3 Rectangular Coordinates Review
  535.    wt: 1:   2 Cartesian Coordinates with signs
  536.    wt: 1:   1 Cartesian Coordinates sans signs
  537.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  538.    wt: 1:   PS G Rotation Distributes over Addition
  539.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  540.    wt: 1:   PS E Multiplication with Polar Coordinates
  541.    wt: 1:   PS D Addition with Cartesian Coordinates
  542.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  543.    wt: 1:   PS B Parallelogram Construction Methods
  544.    wt: 1:   PS A Kite Construction Methods
  545.    wt: 1:   21 Parallelograms
  546.    wt: 1:   19 Right Triangle Similarity
  547.    wt: 1:   18 Triangle Similarity Take 1
  548.    wt: 1:   17 Right Bisectors of Triangle Sides
  549.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  550.    wt: 1:   14 Parallel Lines Postulate
  551.    wt: 1:   13 Angle Side Angle Failure
  552.    wt: 1:   12 Side Angle Side Failure
  553.    wt: 1:   11 Triangle Construction Fails
  554.    wt: 1:   10 Dropping a perpendicular to line
  555.    wt: 1:   9 Construction of a right bisector
  556.    wt: 1:   8 Isoceles Triangles
  557.    wt: 1:   7 Angle Side Angle
  558.    wt: 1:   5 Side Angle Side
  559.    wt: 1:   4 Side Side Side
  560.    wt: 1:   3 Isometry of Triangles Congruence
  561.    wt: 1:   2 Correspondence between Triangles
  562.    wt: 1:   Short Course on Euclidean Geometry
  563.    wt: 1:   26 More Less Greater Than Comparison
  564.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  565.    wt: 1:   23 Distributive Law Two Derivations
  566.    wt: 1:   21 Addition of Multiples of a Single Vector
  567.    wt: 1:   19 Signed Multiples of Vectors
  568.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  569.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  570.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  571.    wt: 1:   15 Head to Tails in place Addition Associative
  572.    wt: 1:   9 Division with Digits after Decimal Point
  573.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  574.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  575.    wt: 1:   4 Location of Point in Decimal Addition
  576.    wt: 1:   3 Location of Point in Decimal Multiplication
  577.    wt: 1:   2 Counting Digits in Decimal Multiplication
  578.    wt: 1:   E Long Division Methods more
  579.    wt: 1:   D Long Division Methods
  580.    wt: 1:   C Three Decimal Subtraction Methods
  581.    wt: 1:   A Decimal Addition Columm Methods
  582.    wt: 1:   8 Column Multiplication Methods in General
  583.    wt: 1:   7 Decimals Multiplication Methods Examples
  584.    wt: 1:   4 Commutative Law Groups Counting Form
  585.    wt: 1:   4 Fraction Operations Axiomatic Development
  586.    wt: 1:   2 Fraction Operations Physical Development
  587.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  588.    wt: 1:   3 Proportionality Examples
  589.    wt: 1:   2 Algebraic View
  590.    wt: 1:   1 What is Proportionality
  591.    wt: 1:   6 Compound Interest Forward and Backwards
  592.    wt: 1:   5 Triangle Area Formula Backwards
  593.    wt: 1:   5 Equality in Algebra
  594.    wt: 1:   3 Product Axioms Two Forms
  595.    wt: 1:   1 Equivalent Computation Rules
  596.    wt: 1:   5 Greater More Less Than Signs in General
  597.    wt: 1:   9 Coordinates for Regions in Space
  598.    wt: 1:   2 Integers
  599.    wt: 1:   5 Independent versus Dependent Variables
  600.    wt: 1:   4 Changing Letters
  601.    wt: 1:   2 Computation Rules Evaluation
  602.    wt: 1:   3 GE III Equation Addition and Multiplication
  603.    wt: 1:   6 Algebraic Solution Example
  604.    wt: 1:   4 Four Examples Fractional Coefficients
  605.    wt: 1:   Formula Usage Show Work Format
  606.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  607.    wt: 1:   11 Volume of Sphere
  608.    wt: 1:   10 Volume of Pyramid
  609.    wt: 1:   9 Volume of Cone
  610.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  611.    wt: 1:   9 Sets in Probability and Statistics
  612.    wt: 1:   8 Sets of Numbers
  613.    wt: 1:   1 Three Skills For Algebra
  614.    wt: 1:   014 Counting Days with Calendars
  615.    wt: 1:   013 Travel Time Tables
  616.    wt: 1:   012 Division of Time Intervals by Time Intervals
  617.    wt: 1:   010 Repeated Addition of Time Intervals
  618.    wt: 1:   8 Addition of Time Intervals via subtotaling
  619.    wt: 1:   7 Addition of Time Intervals
  620.    wt: 1:   6 How long is a million seconds
  621.    wt: 1:   5 Conversion Arithmetic
  622.    wt: 1:   Example 2 volume of a cone
  623.    wt: 1:   Example 1 volume of a pyramid
  624.    wt: 1:   Volume of Solid by Cross Sections Lesson
  625.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  626.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  627.    wt: 1:   Example 4 with x function of y
  628.    wt: 1:   Example 3
  629.    wt: 1:   Example 2
  630.    wt: 1:   Example 1
  631.    wt: 1:   Area Between Curves Lesson Take 2
  632.    wt: 1:   Area Between Curves Lesson Take 1
  633.    wt: 1:   Summary
  634.    wt: 1:   17 Derivatives of quotients of sine and cosine
  635.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  636.    wt: 1:   15 sine and cosine derivatives 3rd step
  637.    wt: 1:   14 sine and cosine derivatives 2nd step
  638.    wt: 1:   13 sine and cosine derivatives 1st step
  639.    wt: 1:   11 Limits at infinity Three Examples
  640.    wt: 1:   10 Three one sided limits with infinite values
  641.    wt: 1:   8 Four Animated Examples
  642.    wt: 1:   7 Evaluation by immediate or delayed substitution
  643.    wt: 1:   6 Continuity at a point
  644.    wt: 1:   4 Numerical properties
  645.    wt: 1:   3 Decimal insights for limits continuity convergence
  646.    wt: 1:   2 Algebraic codification
  647.    wt: 1:   1 Numerical introduction
  648.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  649.    wt: 1:   PostScript For and Against Decimal Perspectives
  650.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  651.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  652.    wt: 1:   Chapter 22 Complex Numbers
  653.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  654.    wt: 1:   Chapter 12. Units and Slopes
  655.    wt: 1:   Chapter 10 Slopes and Units
  656.    wt: 1:   Chapter 7 Slopes and Velocity
  657.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  658.    wt: 1:   Chapter 2. Slopes and Ski Trails
  659.    wt: 1:   Postscript More on Better Performance
  660.    wt: 1:   Postscript For Better Performance
  661.    wt: 1:   Appendix C. How to Read
  662.    wt: 1:   Appendix B. How To Learn
  663.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  664.    wt: 1:   Chapter 30 Truth Tables
  665.    wt: 1:   Chapter 28 Occurrence Tables
  666.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  667.    wt: 1:   Chapter 25. Mathematical Induction Examples
  668.    wt: 1:   Chapter 23. Notation For Sums
  669.    wt: 1:   Chapter 21. Third Reading Guide
  670.    wt: 1:   Chapter 18. Rules for Algebra
  671.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  672.    wt: 1:   Chapter 16. Painless Theorem Proving
  673.    wt: 1:   Chapter 15. Solving Linear Equations
  674.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  675.    wt: 1:   Chapter 13. Second Reading Guide
  676.    wt: 1:   Postscript What is a Variable
  677.    wt: 1:   Solutions For Arithmetic Exercises
  678.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  679.    wt: 1:   Chapter 6 Change of Language
  680.    wt: 1:   Chapter 4 Longer Chains of Reason
  681.    wt: 1:   Chapter 3 Chains of Reason
  682.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  683.    wt: 1:   Foreword
  684.    wt: 1:   Chapter 2 For and Against Mathematics
  685.    wt: 1:   Postscript B More on Story Telling and Reason
  686.    wt: 1:   Chapter 24 Direct and Indirect Reason
  687.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  688.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  689.    wt: 1:   Chapter 18 Sense and Knowledge
  690.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  691.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  692.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  693.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  694.    wt: 1:   S Adding words to algebra
  695.    wt: 1:   N Mathematics Prepare for College Studies
  696.    wt: 1:   M Words to extend arithmetic
  697.    wt: 1:   H more Routine to non routine problem solving
  698.    wt: 1:   F. The student teacher tutor feedback loop
  699.    wt: 1:   D. Check work a must with a caution
  700.    wt: 1:   C. Domino effect of being careful
  701.    wt: 1:   B. Domino effect of errors
  702.    wt: 1:   A. Skill has to be seen to believed
  703.    wt: 1:   Chapter 8 Skipped Topics and Why
  704.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  705.    wt: 1:   Chapter 6 More Algebra and Geometry
  706.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  707.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  708.    wt: 1:   Helping the Blind in Logic and Mathematics
  709.    wt: 1:   More Algebra and Slope based Calculus Preview
  710.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  711.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  712.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  713.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  714.    wt: 1:   The Math Forum and Site Content
  715.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  716.    wt: 12:   B Fractions and Two Term Ratios
  717.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  718.    wt: 12:   9 Improper Fractions and Mixed Numbers
  719.    wt: 11:   21 Reciprocals for Fractions and Wholes
  720.    wt: 11:   10 Simplification of Fractions and Mixed Numerals
  721.    wt: 11:   3 Unit fraction of a fraction
  722.    wt: 10:   D Three Term Ratios
  723.    wt: 10:   22 Complex Compound Fractions
  724.    wt: 10:   20 Dividing Fractions the Why
  725.    wt: 10:   19 Dividing Fractions How TO
  726.    wt: 10:   17 Efficient Ways to Add and Subtract
  727.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  728.    wt: 10:   14 Adding and Subtracting with Like Denominators
  729.    wt: 10:   13 Fraction Comparison Algebraic View
  730.    wt: 10:   12 Fraction Comparison
  731.    wt: 10:   8 Numerals Fractionals Quantals Take II
  732.    wt: 10:   7 Numerals Fractionals Quantals
  733.    wt: 10:   6 Multiplication of Mixed Numbers
  734.    wt: 10:   5 Equivalent Fractions
  735.    wt: 10:   4 Fraction Multiplication
  736.    wt: 10:   2 Unit Fraction Multiplication
  737.    wt: 10:   1 What is a fraction Take II
  738.    wt: 10:   1 What is a fraction
  739.    wt: 10:   Fraction Operations by Raising Terms A Simple Innovation

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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