Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local 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. Reform: look before you leap - plan all in detail first.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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44 matches:

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

Web Page Search

374 matches:

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

Extended Search

714 matches:

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

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 bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

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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