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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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: 6:   1 Decimal Place Value/
  16.    wt: 5:   5 Integers/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  19.    wt: 1:   Mathematics Skills Year by Year/
  20.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  21.    wt: 1:   12 Function Translating and Rescaling/
  22.    wt: 1:   11 Parallel Straight Lines and Transversals/
  23.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  24.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  25.    wt: 1:   7 Complex Numbers/
  26.    wt: 1:   4 Lines and Slopes Take 1/
  27.    wt: 1:   3 Cartesian and Polar Coordinates/
  28.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  29.    wt: 1:   B Real Numbers Extrinsic Development/
  30.    wt: 1:   A Origins of Counting and Figuring Methods/
  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

376 matches:

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

Extended Search

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