Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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

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43 matches:

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

Web Page Search

382 matches:

  1.    wt: 4:   11 Signed Number Addition and Addition Properties
  2.    wt: 3:   13 Addition and Addition Tables
  3.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  4.    wt: 3:   2 Combing Counts Addition Skills and Principles
  5.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  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:   7 logic review and decimals an odd combination
  10.    wt: 2:   2 Reading and Writing Skills
  11.    wt: 2:   19 Horizontal line rule and method
  12.    wt: 2:   18 Vertical Line Rule and Method
  13.    wt: 2:   10 Parallelogram Addition Method
  14.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  15.    wt: 2:   Vector and Complex Number Applet
  16.    wt: 2:   14 cosine even and sine and tangent are odd
  17.    wt: 2:   5 Cartesian Addition and Translation
  18.    wt: 2:   3 Lengths and Areas on Maps and Plans
  19.    wt: 2:   A Decimal Addition Columm Methods
  20.    wt: 2:   7 Decimals Multiplication Methods Examples
  21.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  22.    wt: 2:   2 Addition and Multiplication Axioms
  23.    wt: 2:   2 More and Less Than for Counts and Measures
  24.    wt: 2:   11 Real Number Addition
  25.    wt: 2:   10 Real Number Lengths and Signs
  26.    wt: 2:   1 Whole and Natural Numbers
  27.    wt: 2:   3 GE III Equation Addition and Multiplication
  28.    wt: 2:   5 Talking about Numbers and Quantities
  29.    wt: 2:   4 A Brief Story of numbers and algebra
  30.    wt: 2:   1 More and Less Than for Counts and Measures
  31.    wt: 2:   1 Counting and Counting Methods I
  32.    wt: 2:   11 What are real lengths and numbers
  33.    wt: 2:   5 lengths and signs of numbers
  34.    wt: 2:   2 signed and unsigned numbers as coordinates
  35.    wt: 2:   3 Multiplying Units and Numbers
  36.    wt: 2:   1 Addition and Subtraction with Units
  37.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  38.    wt: 2:   9 Improper Fractions and Mixed Numbers
  39.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  40.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  41.    wt: 2:   8 What skills and work habits to require
  42.    wt: 2:   6. Counting and adding units and mixed units
  43.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  44.    wt: 2:   Quick history of numbers and algebra
  45.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  46.    wt: 2:   38 Formulas and derivatives for powers and roots
  47.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  48.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  49.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  50.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  51.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  52.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  53.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  54.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  55.    wt: 2:   I. Logic and language skills
  56.    wt: 2:   How to Build Skills and Confidence
  57.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  58.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  59.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  60.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  61.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  62.    wt: 1:   Appendix 1 primary and preschool mathematic
  63.    wt: 1:   G LAMP Introduction Problem Solving Skills
  64.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  65.    wt: 1:   Skills Chapter 5 Calculus
  66.    wt: 1:   Skills Chapter 4 Logic
  67.    wt: 1:   Skills Chapter 3 Algebra
  68.    wt: 1:   Skills Chapter 2 Geometry
  69.    wt: 1:   Skills Chapter 1 Arithmetic
  70.    wt: 1:   Skills Chapter 0 Introduction
  71.    wt: 1:   5 logarithms and exponentials etc
  72.    wt: 1:   2 arithmetic with signed numbers
  73.    wt: 1:   1 arithmetic with unsigned numbers
  74.    wt: 1:   key notes and themes
  75.    wt: 1:   what should be learnt and When
  76.    wt: 1:   standards for course material
  77.    wt: 1:   Theory of Knowledge
  78.    wt: 1:   Education in mathematics science and technology
  79.    wt: 1:   Motivation and Context Problem
  80.    wt: 1:   fairness and inductive principles for instruction
  81.    wt: 1:   Home Tutoring and Home Schooling
  82.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  83.    wt: 1:   24 Standards For Skill Develoment Take II
  84.    wt: 1:   24 Standards For Skill Develoment
  85.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  86.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  87.    wt: 1:   17 Math Booklets for children and young teenagers
  88.    wt: 1:   14 Multiplication and Times 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:   21 Graphs of functions given by Horizontal Line Method
  101.    wt: 1:   17 Function maxima minima and their location
  102.    wt: 1:   11 Function Domain Range Source and Targets
  103.    wt: 1:   9 Set theory term relation possible origins
  104.    wt: 1:   8 Set view of relations and functions
  105.    wt: 1:   6 Set Existence Formation and Notation
  106.    wt: 1:   4 Function notation in and beyond mathematics
  107.    wt: 1:   9 quadratics physical and further context
  108.    wt: 1:   11 Growth and Decay in Biology
  109.    wt: 1:   10 Exponential Growth and Decay Models
  110.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  111.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  112.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  113.    wt: 1:   3 Polynomials Multiplication Addition
  114.    wt: 1:   2 Column Multiplication Method
  115.    wt: 1:   16 cotangent function Definition Graph and Inverse
  116.    wt: 1:   15 cosecant function Definition Graph and Inverse
  117.    wt: 1:   14 secant function Definition Graph and Inverse
  118.    wt: 1:   13 cosecant function Definition Graph and Inverse
  119.    wt: 1:   9 Summary Degrees to Radians and back
  120.    wt: 1:   1 Degrees and Radians Introduction
  121.    wt: 1:   A Global Time and Navigation
  122.    wt: 1:   15 Dot and Cross Product
  123.    wt: 1:   11 Component Method
  124.    wt: 1:   5 Head To Tail Arrow Addition
  125.    wt: 1:   Parallel Lines and Parallel Transversals
  126.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  127.    wt: 1:   Parallel Lines and Interior Angles
  128.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  129.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  130.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  131.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  132.    wt: 1:   29 secant cosecant and cotangent for acute angles
  133.    wt: 1:   27 Logarithmic use of products of sines and cosines
  134.    wt: 1:   26 Formulas for products of sines and cosines
  135.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  136.    wt: 1:   21 sine and cosine Half Angle Formulas
  137.    wt: 1:   20 sine and cosine Double Angle Formulas
  138.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  139.    wt: 1:   17E Trig Formulas for dot and cross Products
  140.    wt: 1:   17D cis formulas for sine cosines and tangent
  141.    wt: 1:   17C sine and cosine double triple angle formulas
  142.    wt: 1:   17A The complex number valued trig function cis
  143.    wt: 1:   10 Graphs of sines and cosines many periods
  144.    wt: 1:   9 Graphs of sine and cosine over one period
  145.    wt: 1:   7 period of sine and cosine
  146.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  147.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  148.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  149.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  150.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  151.    wt: 1:   21 Logarithms Powers and Exponentials
  152.    wt: 1:   20 N th Roots of Complex Numbers
  153.    wt: 1:   16 References and Originality Question
  154.    wt: 1:   13 Trig Formulas for dot and cross Products
  155.    wt: 1:   12 cis formulas for sine cosines and tangent
  156.    wt: 1:   11 sine and cosine double triple angle formulas
  157.    wt: 1:   9 The complex number valued trig function cis
  158.    wt: 1:   6 Field Properties of Complex Number
  159.    wt: 1:   3 Addition Properties
  160.    wt: 1:   2 Complex Numbers made easier we hope
  161.    wt: 1:   Appetizer A Complex Number Applet
  162.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  163.    wt: 1:   3 Trigonometric Ratios sine and cosine
  164.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  165.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  166.    wt: 1:   8 Similarity of Triangles and Polygons
  167.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  168.    wt: 1:   10 Midpoint of [a b] and [b a]
  169.    wt: 1:   7 Exercises to test skill and concept mastery
  170.    wt: 1:   1 Numerical view of lines and their equations
  171.    wt: 1:   What is and is not here
  172.    wt: 1:   7 Complex Numbers Appetizer
  173.    wt: 1:   6 Polar Multiplication and Rotation
  174.    wt: 1:   4 Polar Coordinates to and from
  175.    wt: 1:   PS H Distributive Law For Complex Numbers
  176.    wt: 1:   PS G Rotation Distributes over Addition
  177.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  178.    wt: 1:   PS D Addition with Cartesian Coordinates
  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:   21 Addition of Multiples of a Single Vector
  190.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  191.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  192.    wt: 1:   15 Head to Tails in place Addition Associative
  193.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  194.    wt: 1:   13 Arrows and Vectors in a Plane
  195.    wt: 1:   12 Real Numbers Line Signed Coordinates
  196.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  197.    wt: 1:   8 Division and Mulplication of Compound Fractions
  198.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  199.    wt: 1:   4 Location of Point in Decimal Addition
  200.    wt: 1:   E Long Division Methods more
  201.    wt: 1:   D Long Division Methods
  202.    wt: 1:   C Three Decimal Subtraction Methods
  203.    wt: 1:   B Decimal Comparison and Subtraction
  204.    wt: 1:   8 Column Multiplication Methods in General
  205.    wt: 1:   6 Column Methods for Decimal Multiplication
  206.    wt: 1:   5 Distributive Law for Whole Numbers
  207.    wt: 1:   3 Multiplicative Counting Skills Principles
  208.    wt: 1:   1 The Counting Origins of Numbers
  209.    wt: 1:   4 Rates Ratios and Proporitionality
  210.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  211.    wt: 1:   6 Compound Interest Forward and Backwards
  212.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  213.    wt: 1:   6 Equations and Systems Equivalent or Implied
  214.    wt: 1:   4 Subtraction and Division Axioms
  215.    wt: 1:   4 Comparison of Negative Numbers
  216.    wt: 1:   3 More and Less Than with Unlike Signs
  217.    wt: 1:   1 Real Numbers Comparison
  218.    wt: 1:   16 Real Numbers Comparison
  219.    wt: 1:   15 Real Number Division
  220.    wt: 1:   14 Real Number Multiplication
  221.    wt: 1:   13 Real Number Subtraction
  222.    wt: 1:   12 Real Number Additive Inverses or Negatives
  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:   1 Written work formats for developing and showing skill
  231.    wt: 1:   9 Sets in Probability and Statistics
  232.    wt: 1:   8 Sets of Numbers
  233.    wt: 1:   1 Three Skills For Algebra
  234.    wt: 1:   3 Comparison of Negative Numbers
  235.    wt: 1:   2 More and Less Than with Unlike Signs
  236.    wt: 1:   1 Squares and Square Roots Introduction
  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:   LCM 60 45 Avoid List Method Use Prime
  244.    wt: 1:   2 Least Common Multiple LCM intro via list method
  245.    wt: 1:   3 Counting with Tables and Trees II
  246.    wt: 1:   2 Counting with Tables and Trees I
  247.    wt: 1:   10 dividing signed numbers
  248.    wt: 1:   9 subtracting signed numbers
  249.    wt: 1:   8 multiplying signed numbers
  250.    wt: 1:   7 negative and additive inverse
  251.    wt: 1:   6 adding signed numbers
  252.    wt: 1:   3 signed coordinates for maps and planes
  253.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  254.    wt: 1:   2 Equality and Units
  255.    wt: 1:   B Fractions and Two Term Ratios
  256.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  257.    wt: 1:   21 Reciprocals for Fractions and Wholes
  258.    wt: 1:   17 Efficient Ways to Add and Subtract
  259.    wt: 1:   16 Addition Subtraction Comparision Compared
  260.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  261.    wt: 1:   14 Adding and Subtracting with Like Denominators
  262.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  263.    wt: 1:   6 Multiplication of Mixed Numbers
  264.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  265.    wt: 1:   11 Adding Integers Formulas and Examples
  266.    wt: 1:   8 Multiplication by Signed Numbers Integers
  267.    wt: 1:   6 Multiplication by Natural Numbers
  268.    wt: 1:   5 Zero Movement and Additive Inverses
  269.    wt: 1:   17 Identify and Count Factors using Primes
  270.    wt: 1:   12 LCD GCD and LCM using Primes
  271.    wt: 1:   7 Calculator Usage Notes and Cautions
  272.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  273.    wt: 1:   5 Prime Factorization and a Square Rule
  274.    wt: 1:   3 video Primes and Composites from 9 times table
  275.    wt: 1:   2 Prime and Composites less than 16
  276.    wt: 1:   Division with Counts and Length
  277.    wt: 1:   Long Division forwards and backwards Example 3
  278.    wt: 1:   Long Division forwards and backwards Example 2
  279.    wt: 1:   Long Division forwards and backwards Example 1
  280.    wt: 1:   10 Division by Five Long and Short Ways
  281.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  282.    wt: 1:   D Decimal Multiplication Methods Derived
  283.    wt: 1:   A Elementary Basis for Multiplication Methods
  284.    wt: 1:   4 Two and Three Digit Multipliers
  285.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  286.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  287.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  288.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  289.    wt: 1:   5. How to add decimals C. Examples
  290.    wt: 1:   4. How to add with decimals B with conversions
  291.    wt: 1:   3. How to add with decimals A sans conversions
  292.    wt: 1:   1. Explaining Addition Table
  293.    wt: 1:   11 Place Value SI Standard International way
  294.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  295.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  296.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  297.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  298.    wt: 1:   Exact Arithmetic Wholes and Fractions
  299.    wt: 1:   016 Numbering Occidental Calendar Days
  300.    wt: 1:   015 School and work day counting tables
  301.    wt: 1:   011 Division of Time Intervals By Numbers
  302.    wt: 1:   010 Repeated Addition of Time Intervals
  303.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  304.    wt: 1:   8 Addition of Time Intervals via subtotaling
  305.    wt: 1:   7 Addition of Time Intervals
  306.    wt: 1:   4 Mixing and Changing Units of Time
  307.    wt: 1:   3 Units and Lengths of Time
  308.    wt: 1:   2 Time and Date Matters in School
  309.    wt: 1:   1 Intro of Kids To Time Date Skills
  310.    wt: 1:   Example 1. Area Between x and x squared
  311.    wt: 1:   3 Two Chain Rule Method Exercises
  312.    wt: 1:   1 Chain Rule in Reverse Integration Method
  313.    wt: 1:   17 Derivatives of quotients of sine and cosine
  314.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  315.    wt: 1:   15 sine and cosine derivatives 3rd step
  316.    wt: 1:   14 sine and cosine derivatives 2nd step
  317.    wt: 1:   13 sine and cosine derivatives 1st step
  318.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  319.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  320.    wt: 1:   9 Limits Continuity and Composition
  321.    wt: 1:   5 Jumps and absence of unlimited error control
  322.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  323.    wt: 1:   PostScript For and Against Decimal Perspectives
  324.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  325.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  326.    wt: 1:   Chapter 22 Complex Numbers
  327.    wt: 1:   Chapter 21 Arrow Addition
  328.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  329.    wt: 1:   Chapter 12. Units and Slopes
  330.    wt: 1:   Chapter 10 Slopes and Units
  331.    wt: 1:   Chapter 7 Slopes and Velocity
  332.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  333.    wt: 1:   Chapter 2. Slopes and Ski Trails
  334.    wt: 1:   Appendix E. How To Study Mathematics and Why
  335.    wt: 1:   Appendix D. What to do in School and Why
  336.    wt: 1:   Chapter 31 Direct and Indirect Reason
  337.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  338.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  339.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  340.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  341.    wt: 1:   Chapter 20. Degrees and Radians
  342.    wt: 1:   Chapter 19. Functions and Sets
  343.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  344.    wt: 1:   Chapter 12. Shorthand Usage Guide
  345.    wt: 1:   Chapter 11. Why Shorthand
  346.    wt: 1:   Chapter 10 Describing and Changing Calculations
  347.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  348.    wt: 1:   Chapter 8 Three Skills For Algebra
  349.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  350.    wt: 1:   Chapter 2 For and Against Mathematics
  351.    wt: 1:   Postscript B More on Story Telling and Reason
  352.    wt: 1:   Chapter 24 Direct and Indirect Reason
  353.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  354.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  355.    wt: 1:   Chapter 18 Sense and Knowledge
  356.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  357.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  358.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  359.    wt: 1:   R Why Learn Mathematics Skills
  360.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  361.    wt: 1:   O On Learning Mathematics and Science
  362.    wt: 1:   L Skills with take home value
  363.    wt: 1:   N Improving Marks on Tests and Finals
  364.    wt: 1:   J. More on written work and showing skill
  365.    wt: 1:   H Jigsaw puzzles and problem solving
  366.    wt: 1:   G. Written work formats for developing and showing skill
  367.    wt: 1:   E. When and how to correct errors
  368.    wt: 1:   Chapter 8 Skipped Topics and Why
  369.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  370.    wt: 1:   Chapter 6 More Algebra and Geometry
  371.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  372.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  373.    wt: 1:   7 Games and Activities for Instruction
  374.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  375.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  376.    wt: 1:   Helping the Blind in Logic and Mathematics
  377.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  378.    wt: 1:   More Algebra and Slope based Calculus Preview
  379.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  380.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  381.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  382.    wt: 1:   The Math Forum and Site Content

Extended Search

713 matches:

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

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

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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