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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

44 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:   Resources and Reciprocal Links/
  20.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  21.    wt: 1:   Mathematics Skills Year by Year/
  22.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  23.    wt: 1:   12 Function Translating and Rescaling/
  24.    wt: 1:   11 Parallel Straight Lines and Transversals/
  25.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  26.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  27.    wt: 1:   7 Complex Numbers/
  28.    wt: 1:   6 Trigonometry first steps/
  29.    wt: 1:   4 Lines and Slopes Take 1/
  30.    wt: 1:   3 Cartesian and Polar Coordinates/
  31.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  32.    wt: 1:   B Real Numbers Extrinsic Development/
  33.    wt: 1:   A Origins of Counting and Figuring Methods/
  34.    wt: 1:   9 Proportionality Backwards and Forwards/
  35.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  36.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  37.    wt: 1:   5 Real Numbers/
  38.    wt: 1:   4 Computation Rules and Function Notation/
  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/

Web Page Search

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

Extended Search

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

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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.