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

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

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

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

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

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

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus. Reform: look before you leap - plan all in detail first.

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

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44 matches:

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

Web Page Search

408 matches:

  1.    wt: 4:   Chapter 14 Limits and Continuity with and sans Decimals
  2.    wt: 4:   Primary and Secondary Skills and Practices with Take Home Value
  3.    wt: 4:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  4.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  5.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  6.    wt: 3:   Division with Counts and Length
  7.    wt: 3:   4. How to add with decimals B with conversions
  8.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  9.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  10.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  11.    wt: 2:   Ramblings Extrinsic numbers theory
  12.    wt: 2:   7 logic review and decimals an odd combination
  13.    wt: 2:   2 arithmetic with signed numbers
  14.    wt: 2:   1 arithmetic with unsigned numbers
  15.    wt: 2:   2 Reading and Writing Skills
  16.    wt: 2:   Ages 12 to 14 Skills with take home value
  17.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  18.    wt: 2:   Vector and Complex Number Applet
  19.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  20.    wt: 2:   14 cosine even and sine and tangent are odd
  21.    wt: 2:   3 Lengths and Areas on Maps and Plans
  22.    wt: 2:   11 Signed Number Addition and Addition Properties
  23.    wt: 2:   9 Division with Digits after Decimal Point
  24.    wt: 2:   8 Division and Mulplication of Compound Fractions
  25.    wt: 2:   2 Combing Counts Addition Skills and Principles
  26.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  27.    wt: 2:   4 Subtraction and Division Axioms
  28.    wt: 2:   3 More and Less Than with Unlike Signs
  29.    wt: 2:   2 More and Less Than for Counts and Measures
  30.    wt: 2:   15 Real Number Division
  31.    wt: 2:   10 Real Number Lengths and Signs
  32.    wt: 2:   1 Whole and Natural Numbers
  33.    wt: 2:   5 Talking about Numbers and Quantities
  34.    wt: 2:   4 A Brief Story of numbers and algebra
  35.    wt: 2:   2 More and Less Than with Unlike Signs
  36.    wt: 2:   1 More and Less Than for Counts and Measures
  37.    wt: 2:   3 Counting with Tables and Trees II
  38.    wt: 2:   2 Counting with Tables and Trees I
  39.    wt: 2:   11 What are real lengths and numbers
  40.    wt: 2:   5 lengths and signs of numbers
  41.    wt: 2:   2 signed and unsigned numbers as coordinates
  42.    wt: 2:   3 Multiplying Units and Numbers
  43.    wt: 2:   1 Addition and Subtraction with Units
  44.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  45.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  46.    wt: 2:   14 Adding and Subtracting with Like Denominators
  47.    wt: 2:   9 Improper Fractions and Mixed Numbers
  48.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  49.    wt: 2:   Long Division forwards and backwards Example 3
  50.    wt: 2:   Long Division forwards and backwards Example 2
  51.    wt: 2:   Long Division forwards and backwards Example 1
  52.    wt: 2:   10 Division by Five Long and Short Ways
  53.    wt: 2:   4 Division with 2 Digit Divsors
  54.    wt: 2:   2 Division with Single Digit Divisors
  55.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  56.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  57.    wt: 2:   8 What skills and work habits to require
  58.    wt: 2:   6. Counting and adding units and mixed units
  59.    wt: 2:   3. How to add with decimals A sans conversions
  60.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  61.    wt: 2:   Quick history of numbers and algebra
  62.    wt: 2:   011 Division of Time Intervals By Numbers
  63.    wt: 2:   38 Formulas and derivatives for powers and roots
  64.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  65.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  66.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  67.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  68.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  69.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  70.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  71.    wt: 2:   L Skills with take home value
  72.    wt: 2:   I. Logic and language skills
  73.    wt: 2:   How to Build Skills and Confidence
  74.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  75.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  76.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  77.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  78.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  79.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  80.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  81.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  82.    wt: 1:   Appendix 1 primary and preschool mathematic
  83.    wt: 1:   G LAMP Introduction Problem Solving Skills
  84.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  85.    wt: 1:   Skills Chapter 5 Calculus
  86.    wt: 1:   Skills Chapter 4 Logic
  87.    wt: 1:   Skills Chapter 3 Algebra
  88.    wt: 1:   Skills Chapter 2 Geometry
  89.    wt: 1:   Skills Chapter 1 Arithmetic
  90.    wt: 1:   Skills Chapter 0 Introduction
  91.    wt: 1:   5 logarithms and exponentials etc
  92.    wt: 1:   key notes and themes
  93.    wt: 1:   what should be learnt and When
  94.    wt: 1:   the trouble with algebra
  95.    wt: 1:   standards for course material
  96.    wt: 1:   Theory of Knowledge
  97.    wt: 1:   Education in mathematics science and technology
  98.    wt: 1:   Motivation and Context Problem
  99.    wt: 1:   fairness and inductive principles for instruction
  100.    wt: 1:   chapitre 12 00 les iles et division
  101.    wt: 1:   Home Tutoring and Home Schooling
  102.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  103.    wt: 1:   24 Standards For Skill Develoment Take II
  104.    wt: 1:   24 Standards For Skill Develoment
  105.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  106.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  107.    wt: 1:   17 Math Booklets for children and young teenagers
  108.    wt: 1:   14 Multiplication and Times Tables
  109.    wt: 1:   13 Addition and Addition Tables
  110.    wt: 1:   12 Goals and Objectives For Mathematics
  111.    wt: 1:   11 Help and Defend Your Child or Teens Education
  112.    wt: 1:   5 Patience Please for Yourself and Your Charges
  113.    wt: 1:   4 Learning Takes Time and Effort
  114.    wt: 1:   1 Speaking Skills
  115.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  116.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  117.    wt: 1:   26 Function definitions done and coming
  118.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  119.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  120.    wt: 1:   19 Horizontal line rule and method
  121.    wt: 1:   18 Vertical Line Rule and Method
  122.    wt: 1:   17 Function maxima minima and their location
  123.    wt: 1:   11 Function Domain Range Source and Targets
  124.    wt: 1:   9 Set theory term relation possible origins
  125.    wt: 1:   8 Set view of relations and functions
  126.    wt: 1:   7 Functions with finite domains
  127.    wt: 1:   6 Set Existence Formation and Notation
  128.    wt: 1:   4 Function notation in and beyond mathematics
  129.    wt: 1:   9 quadratics physical and further context
  130.    wt: 1:   11 Growth and Decay in Biology
  131.    wt: 1:   10 Exponential Growth and Decay Models
  132.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  133.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  134.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  135.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  136.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  137.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  138.    wt: 1:   4 Polynomials Long division linear divisor
  139.    wt: 1:   16 cotangent function Definition Graph and Inverse
  140.    wt: 1:   15 cosecant function Definition Graph and Inverse
  141.    wt: 1:   14 secant function Definition Graph and Inverse
  142.    wt: 1:   13 cosecant function Definition Graph and Inverse
  143.    wt: 1:   9 Summary Degrees to Radians and back
  144.    wt: 1:   1 Degrees and Radians Introduction
  145.    wt: 1:   A Global Time and Navigation
  146.    wt: 1:   15 Dot and Cross Product
  147.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  148.    wt: 1:   6 Vectors with Coordinates
  149.    wt: 1:   3 Navigation with Arrows or Vectors
  150.    wt: 1:   Parallel Lines and Parallel Transversals
  151.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  152.    wt: 1:   Parallel Lines and Interior Angles
  153.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  154.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  155.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  156.    wt: 1:   29 secant cosecant and cotangent for acute angles
  157.    wt: 1:   27 Logarithmic use of products of sines and cosines
  158.    wt: 1:   26 Formulas for products of sines and cosines
  159.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  160.    wt: 1:   21 sine and cosine Half Angle Formulas
  161.    wt: 1:   20 sine and cosine Double Angle Formulas
  162.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  163.    wt: 1:   17E Trig Formulas for dot and cross Products
  164.    wt: 1:   17D cis formulas for sine cosines and tangent
  165.    wt: 1:   17C sine and cosine double triple angle formulas
  166.    wt: 1:   17A The complex number valued trig function cis
  167.    wt: 1:   10 Graphs of sines and cosines many periods
  168.    wt: 1:   9 Graphs of sine and cosine over one period
  169.    wt: 1:   7 period of sine and cosine
  170.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  171.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  172.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  173.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  174.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  175.    wt: 1:   21 Logarithms Powers and Exponentials
  176.    wt: 1:   20 N th Roots of Complex Numbers
  177.    wt: 1:   16 References and Originality Question
  178.    wt: 1:   13 Trig Formulas for dot and cross Products
  179.    wt: 1:   12 cis formulas for sine cosines and tangent
  180.    wt: 1:   11 sine and cosine double triple angle formulas
  181.    wt: 1:   9 The complex number valued trig function cis
  182.    wt: 1:   6 Field Properties of Complex Number
  183.    wt: 1:   2 Complex Numbers made easier we hope
  184.    wt: 1:   Appetizer A Complex Number Applet
  185.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  186.    wt: 1:   3 Trigonometric Ratios sine and cosine
  187.    wt: 1:   1 Angle Measurement with Degrees
  188.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  189.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  190.    wt: 1:   8 Similarity of Triangles and Polygons
  191.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  192.    wt: 1:   4 Similarity Definition with Coordinate
  193.    wt: 1:   3 Similarity by Design with coordinates
  194.    wt: 1:   10 Midpoint of [a b] and [b a]
  195.    wt: 1:   7 Exercises to test skill and concept mastery
  196.    wt: 1:   1 Numerical view of lines and their equations
  197.    wt: 1:   What is and is not here
  198.    wt: 1:   7 Complex Numbers Appetizer
  199.    wt: 1:   6 Polar Multiplication and Rotation
  200.    wt: 1:   5 Cartesian Addition and Translation
  201.    wt: 1:   4 Polar Coordinates to and from
  202.    wt: 1:   2 Cartesian Coordinates with signs
  203.    wt: 1:   PS H Distributive Law For Complex Numbers
  204.    wt: 1:   PS E Multiplication with Polar Coordinates
  205.    wt: 1:   PS D Addition with Cartesian Coordinates
  206.    wt: 1:   16 Angles Subtended By Chords and Diameters
  207.    wt: 1:   6 Ruler and compass Angle Bisection
  208.    wt: 1:   1 Initial Concepts and Terms
  209.    wt: 1:   A Measurement with Ruler Proper Use
  210.    wt: 1:   6 Figuring with Maps Not to Scale
  211.    wt: 1:   musings do not puiblish real numbers
  212.    wt: 1:   A Modular and Remainder Arithmetic
  213.    wt: 1:   A Signed Number Arithmetic Review
  214.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  215.    wt: 1:   22 Multiplication of Signed Numbers
  216.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  217.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  218.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  219.    wt: 1:   13 Arrows and Vectors in a Plane
  220.    wt: 1:   12 Real Numbers Line Signed Coordinates
  221.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  222.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  223.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  224.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  225.    wt: 1:   1 Fractions with Finite Decimal Expansions
  226.    wt: 1:   E Long Division Methods more
  227.    wt: 1:   D Long Division Methods
  228.    wt: 1:   B Decimal Comparison and Subtraction
  229.    wt: 1:   7 Decimals Multiplication Methods Examples
  230.    wt: 1:   5 Distributive Law for Whole Numbers
  231.    wt: 1:   3 Multiplicative Counting Skills Principles
  232.    wt: 1:   1 The Counting Origins of Numbers
  233.    wt: 1:   4 Rates Ratios and Proporitionality
  234.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  235.    wt: 1:   6 Compound Interest Forward and Backwards
  236.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  237.    wt: 1:   6 Equations and Systems Equivalent or Implied
  238.    wt: 1:   2 Addition and Multiplication Axioms
  239.    wt: 1:   4 Comparison of Negative Numbers
  240.    wt: 1:   1 Real Numbers Comparison
  241.    wt: 1:   16 Real Numbers Comparison
  242.    wt: 1:   14 Real Number Multiplication
  243.    wt: 1:   13 Real Number Subtraction
  244.    wt: 1:   12 Real Number Additive Inverses or Negatives
  245.    wt: 1:   11 Real Number Addition
  246.    wt: 1:   8 Coordinates for Maps and Planes
  247.    wt: 1:   7 Real Numbers as Line Cordinates
  248.    wt: 1:   6 Unsigned Real Numbers
  249.    wt: 1:   5 Rational Numbers More
  250.    wt: 1:   4 Rational Numbers
  251.    wt: 1:   3 Geometric Formulas and Function Notation
  252.    wt: 1:   1 Formulas Dependence and Function Notation
  253.    wt: 1:   3 GE III Equation Addition and Multiplication
  254.    wt: 1:   2 Essentially one exercises three with solution
  255.    wt: 1:   13 Naming Identifying Formulas with Words
  256.    wt: 1:   1 Written work formats for developing and showing skill
  257.    wt: 1:   9 Sets in Probability and Statistics
  258.    wt: 1:   8 Sets of Numbers
  259.    wt: 1:   3 Counting with Sets etc
  260.    wt: 1:   1 Three Skills For Algebra
  261.    wt: 1:   3 Comparison of Negative Numbers
  262.    wt: 1:   5 Square Roots with primes more still
  263.    wt: 1:   4 Square Roots with primes more
  264.    wt: 1:   3 Properties of Square Roots with example
  265.    wt: 1:   2 Square Roots with Prime
  266.    wt: 1:   1 Squares and Square Roots Introduction
  267.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  268.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  269.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  270.    wt: 1:   7 GCD and LCM from prime factorization
  271.    wt: 1:   4 LCM of 8 and 10 via Prime
  272.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  273.    wt: 1:   4 Counting with Trees Product Rule Take I
  274.    wt: 1:   1 Counting and Counting Methods I
  275.    wt: 1:   10 dividing signed numbers
  276.    wt: 1:   9 subtracting signed numbers
  277.    wt: 1:   8 multiplying signed numbers
  278.    wt: 1:   7 negative and additive inverse
  279.    wt: 1:   6 adding signed numbers
  280.    wt: 1:   3 signed coordinates for maps and planes
  281.    wt: 1:   6 Simplification of Fractions with Units
  282.    wt: 1:   4 Fractions with Units
  283.    wt: 1:   2 Equality and Units
  284.    wt: 1:   B Fractions and Two Term Ratios
  285.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  286.    wt: 1:   21 Working With Signs
  287.    wt: 1:   21 Reciprocals for Fractions and Wholes
  288.    wt: 1:   17 Efficient Ways to Add and Subtract
  289.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  290.    wt: 1:   6 Multiplication of Mixed Numbers
  291.    wt: 1:   B Integer Long Division Multiple Choices
  292.    wt: 1:   13 Subtraction with Additive Inverse
  293.    wt: 1:   11 Adding Integers Formulas and Examples
  294.    wt: 1:   8 Multiplication by Signed Numbers Integers
  295.    wt: 1:   6 Multiplication by Natural Numbers
  296.    wt: 1:   5 Zero Movement and Additive Inverses
  297.    wt: 1:   3 Adding Movements with same direction
  298.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  299.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  300.    wt: 1:   17 Identify and Count Factors using Primes
  301.    wt: 1:   12 LCD GCD and LCM using Primes
  302.    wt: 1:   7 Calculator Usage Notes and Cautions
  303.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  304.    wt: 1:   5 Prime Factorization and a Square Rule
  305.    wt: 1:   3 video Primes and Composites from 9 times table
  306.    wt: 1:   2 Prime and Composites less than 16
  307.    wt: 1:   Long Division Backwards more
  308.    wt: 1:   Long Division Backward
  309.    wt: 1:   12 Why Long Division Works Take III
  310.    wt: 1:   9 Why Long Division Works Take II
  311.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  312.    wt: 1:   5 Long Division Include Zeroes or not
  313.    wt: 1:   3 Division Single Digit Divisor Example
  314.    wt: 1:   C Counting Areas with Powers of Ten
  315.    wt: 1:   4 Two and Three Digit Multipliers
  316.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  317.    wt: 1:   Subtraction with J Conversions Example
  318.    wt: 1:   8 Subtraction with Units of Measure
  319.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  320.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  321.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  322.    wt: 1:   5. How to add decimals C. Examples
  323.    wt: 1:   11 Place Value SI Standard International way
  324.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  325.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  326.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  327.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  328.    wt: 1:   Exact Arithmetic Wholes and Fractions
  329.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  330.    wt: 1:   016 Numbering Occidental Calendar Days
  331.    wt: 1:   015 School and work day counting tables
  332.    wt: 1:   014 Counting Days with Calendars
  333.    wt: 1:   012 Division of Time Intervals by Time Intervals
  334.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  335.    wt: 1:   4 Mixing and Changing Units of Time
  336.    wt: 1:   3 Units and Lengths of Time
  337.    wt: 1:   2 Time and Date Matters in School
  338.    wt: 1:   1 Intro of Kids To Time Date Skills
  339.    wt: 1:   Example 1. Area Between x and x squared
  340.    wt: 1:   Example 4 with x function of y
  341.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  342.    wt: 1:   17 Derivatives of quotients of sine and cosine
  343.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  344.    wt: 1:   15 sine and cosine derivatives 3rd step
  345.    wt: 1:   14 sine and cosine derivatives 2nd step
  346.    wt: 1:   13 sine and cosine derivatives 1st step
  347.    wt: 1:   10 Three one sided limits with infinite values
  348.    wt: 1:   9 Limits Continuity and Composition
  349.    wt: 1:   5 Jumps and absence of unlimited error control
  350.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  351.    wt: 1:   G.5 Motions With Bounded Velocities
  352.    wt: 1:   PostScript For and Against Decimal Perspectives
  353.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  354.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  355.    wt: 1:   Chapter 22 Complex Numbers
  356.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  357.    wt: 1:   Chapter 12. Units and Slopes
  358.    wt: 1:   Chapter 10 Slopes and Units
  359.    wt: 1:   Chapter 7 Slopes and Velocity
  360.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  361.    wt: 1:   Chapter 2. Slopes and Ski Trails
  362.    wt: 1:   Appendix E. How To Study Mathematics and Why
  363.    wt: 1:   Appendix D. What to do in School and Why
  364.    wt: 1:   Chapter 31 Direct and Indirect Reason
  365.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  366.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  367.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  368.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  369.    wt: 1:   Chapter 20. Degrees and Radians
  370.    wt: 1:   Chapter 19. Functions and Sets
  371.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  372.    wt: 1:   Chapter 12. Shorthand Usage Guide
  373.    wt: 1:   Chapter 11. Why Shorthand
  374.    wt: 1:   Chapter 10 Describing and Changing Calculations
  375.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  376.    wt: 1:   Chapter 8 Three Skills For Algebra
  377.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  378.    wt: 1:   Chapter 2 For and Against Mathematics
  379.    wt: 1:   Postscript B More on Story Telling and Reason
  380.    wt: 1:   Chapter 24 Direct and Indirect Reason
  381.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  382.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  383.    wt: 1:   Chapter 18 Sense and Knowledge
  384.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  385.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  386.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  387.    wt: 1:   R Why Learn Mathematics Skills
  388.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  389.    wt: 1:   O On Learning Mathematics and Science
  390.    wt: 1:   N Improving Marks on Tests and Finals
  391.    wt: 1:   J. More on written work and showing skill
  392.    wt: 1:   H Jigsaw puzzles and problem solving
  393.    wt: 1:   G. Written work formats for developing and showing skill
  394.    wt: 1:   E. When and how to correct errors
  395.    wt: 1:   D. Check work a must with a caution
  396.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  397.    wt: 1:   Chapter 8 Skipped Topics and Why
  398.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  399.    wt: 1:   Chapter 6 More Algebra and Geometry
  400.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  401.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  402.    wt: 1:   7 Games and Activities for Instruction
  403.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  404.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  405.    wt: 1:   Helping the Blind in Logic and Mathematics
  406.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  407.    wt: 1:   More Algebra and Slope based Calculus Preview
  408.    wt: 1:   The Math Forum and Site Content

Extended Search

732 matches:

  1.    wt: 9:   2 More and Less Than with Unlike Signs
  2.    wt: 9:   1 More and Less Than for Counts and Measures
  3.    wt: 9:   10 Euclid Algorithm with 129 125 and with 45 14
  4.    wt: 9:   11 What are real lengths and numbers
  5.    wt: 9:   5 lengths and signs of numbers
  6.    wt: 9:   2 signed and unsigned numbers as coordinates
  7.    wt: 9:   3 Multiplying Units and Numbers
  8.    wt: 9:   1 Addition and Subtraction with Units
  9.    wt: 9:   Long Division Backwards more
  10.    wt: 9:   Long Division Backward
  11.    wt: 9:   12 Why Long Division Works Take III
  12.    wt: 9:   9 Why Long Division Works Take II
  13.    wt: 9:   6 Why Decimal Long Division Methods Works Take I
  14.    wt: 9:   5 Long Division Include Zeroes or not
  15.    wt: 9:   3 Division Single Digit Divisor Example
  16.    wt: 9:   Appendix 1 Decimals Comparison Method Take II
  17.    wt: 9:   Subtraction with J Conversions Example
  18.    wt: 9:   8 Subtraction with Units of Measure
  19.    wt: 9:   7 Subtraction for Decimal Fractions with Exercises
  20.    wt: 9:   3 Harder Cases Convert to Compare and Subtract
  21.    wt: 9:   1 Comparison and Subtraction Easy Direct Cases
  22.    wt: 9:   5. How to add decimals C. Examples
  23.    wt: 8:   3 Comparison of Negative Numbers
  24.    wt: 8:   3 Counting with Tables and Trees II
  25.    wt: 8:   2 Counting with Tables and Trees I
  26.    wt: 8:   10 dividing signed numbers
  27.    wt: 8:   9 subtracting signed numbers
  28.    wt: 8:   8 multiplying signed numbers
  29.    wt: 8:   7 negative and additive inverse
  30.    wt: 8:   6 adding signed numbers
  31.    wt: 8:   3 signed coordinates for maps and planes
  32.    wt: 8:   6 Simplification of Fractions with Units
  33.    wt: 8:   4 Fractions with Units
  34.    wt: 8:   2 Equality and Units
  35.    wt: 8:   C Equality for Fractions and Two Term Ratios and Fractions
  36.    wt: 8:   15 Adding and Subtracting with Unlike Denominators
  37.    wt: 8:   14 Adding and Subtracting with Like Denominators
  38.    wt: 8:   9 Improper Fractions and Mixed Numbers
  39.    wt: 8:   A Decimals Modular and Remainder Arithmetic
  40.    wt: 8:   11 Another Single Digit Divisor Example
  41.    wt: 8:   8 Correcting the Mistake
  42.    wt: 8:   7 Long Divison Mistake Catching
  43.    wt: 8:   1 Divsion Physical Examples
  44.    wt: 8:   C Counting Areas with Powers of Ten
  45.    wt: 8:   4 Two and Three Digit Multipliers
  46.    wt: 8:   Appendix 2 Three Decimal Subtraction Methods
  47.    wt: 8:   Subtraction Another Video Lesson
  48.    wt: 8:   9 22 Minute Subtraction Review Video
  49.    wt: 8:   5 A Tip for Efficent Subtraction
  50.    wt: 8:   2 Subtraction Easy Case Examples
  51.    wt: 8:   Appendix 1 Counting Revisited 15 minute video
  52.    wt: 8:   7 Adding decimal fractions using decimal point
  53.    wt: 8:   2 Decimal Counting Practices
  54.    wt: 8:   1. Explaining Addition Table
  55.    wt: 7:   4 Greater More Less Than Signs in General
  56.    wt: 7:   5 Square Roots with primes more still
  57.    wt: 7:   4 Square Roots with primes more
  58.    wt: 7:   3 Properties of Square Roots with example
  59.    wt: 7:   2 Square Roots with Prime
  60.    wt: 7:   1 Squares and Square Roots Introduction
  61.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  62.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  63.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  64.    wt: 7:   7 GCD and LCM from prime factorization
  65.    wt: 7:   4 LCM of 8 and 10 via Prime
  66.    wt: 7:   5 Counting with Tables Trees Product Rule Take II
  67.    wt: 7:   4 Counting with Trees Product Rule Take I
  68.    wt: 7:   1 Counting and Counting Methods I
  69.    wt: 7:   4 signed coordinates for regions in space
  70.    wt: 7:   7 Converting or Changing Units
  71.    wt: 7:   B Fractions and Two Term Ratios
  72.    wt: 7:   A Similarities between Fractions and Two Term Ratios
  73.    wt: 7:   21 Working With Signs
  74.    wt: 7:   21 Reciprocals for Fractions and Wholes
  75.    wt: 7:   17 Efficient Ways to Add and Subtract
  76.    wt: 7:   10 Simplification of Fractions and Mixed Numerals
  77.    wt: 7:   6 Multiplication of Mixed Numbers
  78.    wt: 7:   11 Remainder Arithmetic Long Division by 5 Quickly more
  79.    wt: 7:   10 Remainder Arithmetic Long Division by 5 Quickly
  80.    wt: 7:   17 Identify and Count Factors using Primes
  81.    wt: 7:   12 LCD GCD and LCM using Primes
  82.    wt: 7:   7 Calculator Usage Notes and Cautions
  83.    wt: 7:   6 Sieve of Eratosthenes and Square Rule
  84.    wt: 7:   5 Prime Factorization and a Square Rule
  85.    wt: 7:   3 video Primes and Composites from 9 times table
  86.    wt: 7:   2 Prime and Composites less than 16
  87.    wt: 7:   D Decimal Multiplication Methods Derived
  88.    wt: 7:   B Powers of Ten
  89.    wt: 7:   A Elementary Basis for Multiplication Methods
  90.    wt: 7:   6 Multiplication Commutes Order Not Important
  91.    wt: 7:   5 Decimal Fraction Multiplication
  92.    wt: 7:   3 More One Digit Multipliers
  93.    wt: 7:   2 One Digit Multipliers
  94.    wt: 7:   Video Decimal Multiplication Geometric View Example 2
  95.    wt: 7:   Video Decimal Multiplication Geometric View Example 2
  96.    wt: 7:   Video Power Notation in Decimal Expansion
  97.    wt: 7:   1 Why 3 times 5 gives 15
  98.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  99.    wt: 7:   Quick history of numbers and algebra
  100.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  101.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  102.    wt: 6:   13 GCD from given Prime Factorization
  103.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  104.    wt: 6:   8 GCD from Euclidean Algorithm
  105.    wt: 6:   6 GCD from Prime
  106.    wt: 6:   5 Common Divisors 60 45 via Prime
  107.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  108.    wt: 6:   2 Least Common Multiple LCM intro via list method
  109.    wt: 6:   1 Least Common Multiples LCM Introduction
  110.    wt: 6:   12 GCD 2700 288 via Prime
  111.    wt: 6:   D Three Term Ratios
  112.    wt: 6:   22 Complex Compound Fractions
  113.    wt: 6:   20 Dividing Fractions the Why
  114.    wt: 6:   19 Dividing Fractions How TO
  115.    wt: 6:   18 Efficient Ways to Multiply
  116.    wt: 6:   16 Addition Subtraction Comparision Compared
  117.    wt: 6:   13 Fraction Comparison Algebraic View
  118.    wt: 6:   12 Fraction Comparison
  119.    wt: 6:   11 Simplification an Algebraic View
  120.    wt: 6:   8 Numerals Fractionals Quantals Take II
  121.    wt: 6:   7 Numerals Fractionals Quantals
  122.    wt: 6:   6 Multiplication Algebraically Take II
  123.    wt: 6:   5 Equivalent Fractions
  124.    wt: 6:   4 Fraction Multiplication
  125.    wt: 6:   3 Unit fraction of a fraction
  126.    wt: 6:   2 Unit Fraction Multiplication
  127.    wt: 6:   1 What is a fraction Take II
  128.    wt: 6:   1 What is a fraction
  129.    wt: 6:   Fraction Operations by Raising Terms A Simple Innovation
  130.    wt: 6:   B Integer Long Division Multiple Choices
  131.    wt: 6:   13 Subtraction with Additive Inverse
  132.    wt: 6:   11 Adding Integers Formulas and Examples
  133.    wt: 6:   8 Multiplication by Signed Numbers Integers
  134.    wt: 6:   6 Multiplication by Natural Numbers
  135.    wt: 6:   5 Zero Movement and Additive Inverses
  136.    wt: 6:   3 Adding Movements with same direction
  137.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  138.    wt: 6:   26 Divisibility by 2 3 5 Example
  139.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  140.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  141.    wt: 6:   23 Remainder Arithmetic Modulo 2
  142.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  143.    wt: 6:   21 Remainder Arithmetic Modulo 3
  144.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  145.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  146.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  147.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  148.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  149.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  150.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  151.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  152.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  153.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  154.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  155.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  156.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  157.    wt: 6:   5 Remainder Arithmetic Modulo 5
  158.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  159.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  160.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  161.    wt: 6:   1 Remainder Arithmetic Modulo 10
  162.    wt: 6:   20 Uniqueness of Prime Factorization
  163.    wt: 6:   19 video Prime Factorization Unique
  164.    wt: 6:   18 video Count Factors given Prime Factorization
  165.    wt: 6:   16 video Factors of 980 using prime
  166.    wt: 6:   15 video Factors of 20 using Prime Factorization
  167.    wt: 6:   14 video Factors of 24 Take II
  168.    wt: 6:   13 video Factors of 24 using prime
  169.    wt: 6:   11 Efficient Square Rule Use
  170.    wt: 6:   10 video Prime Factorization upto 23 squared
  171.    wt: 6:   9 video Prime Factorization upto 19 squared
  172.    wt: 6:   8 video Prime Factorization upto 19
  173.    wt: 6:   4 video Prime Factorization Introduction
  174.    wt: 6:   1 video how Products are bigger than factor
  175.    wt: 6:   11 Place Value SI Standard International way
  176.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  177.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  178.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  179.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  180.    wt: 6:   Exact Arithmetic Wholes and Fractions
  181.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  182.    wt: 6:   Primary and Secondary Skills and Practices with Take Home Value
  183.    wt: 5:   arithmetic videos Real Player Format
  184.    wt: 5:   D Remainders Modulo 11 Pair Rule
  185.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  186.    wt: 5:   A Associative Law Theorectical Note
  187.    wt: 5:   12 Adding Integers More Examples
  188.    wt: 5:   10 Integer Multiplication Formulas
  189.    wt: 5:   9 Multiplying Integers
  190.    wt: 5:   7 Multiplication by Signs
  191.    wt: 5:   4 Adding Movements wiht opposite directions
  192.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  193.    wt: 5:   1 Integers as Coordinates
  194.    wt: 5:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  195.    wt: 5:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  196.    wt: 5:   5 More on Groups of 3 Place Value in Decimal Fractions
  197.    wt: 5:   4 Groups of 3 Place Value in Decimal Fractions
  198.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  199.    wt: 5:   Formula Evaluation how to show work
  200.    wt: 5:   Expression Evaluation how to show work
  201.    wt: 5:   The 20 Times Table
  202.    wt: 5:   The 12 Times Table Visually
  203.    wt: 5:   About folder contents
  204.    wt: 4:   011 Division of Time Intervals By Numbers
  205.    wt: 4:   Chapter 14 Limits and Continuity with and sans Decimals
  206.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  207.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  208.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  209.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  210.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  211.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  212.    wt: 4:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  213.    wt: 3:   Ages 12 to 14 Skills with take home value
  214.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  215.    wt: 3:   11 Signed Number Addition and Addition Properties
  216.    wt: 3:   9 Division with Digits after Decimal Point
  217.    wt: 3:   8 Division and Mulplication of Compound Fractions
  218.    wt: 3:   2 Combing Counts Addition Skills and Principles
  219.    wt: 3:   4 Subtraction and Division Axioms
  220.    wt: 3:   3 More and Less Than with Unlike Signs
  221.    wt: 3:   2 More and Less Than for Counts and Measures
  222.    wt: 3:   15 Real Number Division
  223.    wt: 3:   10 Real Number Lengths and Signs
  224.    wt: 3:   1 Whole and Natural Numbers
  225.    wt: 3:   016 Numbering Occidental Calendar Days
  226.    wt: 3:   015 School and work day counting tables
  227.    wt: 3:   014 Counting Days with Calendars
  228.    wt: 3:   012 Division of Time Intervals by Time Intervals
  229.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  230.    wt: 3:   4 Mixing and Changing Units of Time
  231.    wt: 3:   3 Units and Lengths of Time
  232.    wt: 3:   2 Time and Date Matters in School
  233.    wt: 3:   1 Intro of Kids To Time Date Skills
  234.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  235.    wt: 3:   12 Limits with Parameters and Derivatives Take I
  236.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  237.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  238.    wt: 3:   L Skills with take home value
  239.    wt: 3:   I. Logic and language skills
  240.    wt: 3:   How to Build Skills and Confidence
  241.    wt: 3:   7 Games and Activities for Instruction
  242.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  243.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  244.    wt: 2:   Ramblings Extrinsic numbers theory
  245.    wt: 2:   7 logic review and decimals an odd combination
  246.    wt: 2:   2 arithmetic with signed numbers
  247.    wt: 2:   1 arithmetic with unsigned numbers
  248.    wt: 2:   2 Reading and Writing Skills
  249.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  250.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  251.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  252.    wt: 2:   9 Summary Degrees to Radians and back
  253.    wt: 2:   1 Degrees and Radians Introduction
  254.    wt: 2:   Vector and Complex Number Applet
  255.    wt: 2:   Parallel Lines and Parallel Transversals
  256.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  257.    wt: 2:   Parallel Lines and Interior Angles
  258.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  259.    wt: 2:   C Straight Lines Slope from Coordinates
  260.    wt: 2:   B Straight Line Slope Scaling Properties More
  261.    wt: 2:   A Straight Line Slope Scaling Properties
  262.    wt: 2:   14 Straight Lines Equations General Case
  263.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  264.    wt: 2:   12 Straight Lines Graphing mx plus b
  265.    wt: 2:   11 Straight Lines Graphing y=mx
  266.    wt: 2:   10 Straight Lines through Origin Equations More
  267.    wt: 2:   9 Straight Lines through Origin Equations
  268.    wt: 2:   8 Straight Lines Equation for vertical
  269.    wt: 2:   7 Tangent Function is odd on this domain
  270.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  271.    wt: 2:   5 Tangent Function Graph
  272.    wt: 2:   4 Tangent Function Properties
  273.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  274.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  275.    wt: 2:   1 Straight Lines Slope Concept
  276.    wt: 2:   14 cosine even and sine and tangent are odd
  277.    wt: 2:   21 Logarithms Powers and Exponentials
  278.    wt: 2:   20 N th Roots of Complex Numbers
  279.    wt: 2:   16 References and Originality Question
  280.    wt: 2:   13 Trig Formulas for dot and cross Products
  281.    wt: 2:   12 cis formulas for sine cosines and tangent
  282.    wt: 2:   11 sine and cosine double triple angle formulas
  283.    wt: 2:   9 The complex number valued trig function cis
  284.    wt: 2:   6 Field Properties of Complex Number
  285.    wt: 2:   2 Complex Numbers made easier we hope
  286.    wt: 2:   Appetizer A Complex Number Applet
  287.    wt: 2:   10 Midpoint of [a b] and [b a]
  288.    wt: 2:   7 Exercises to test skill and concept mastery
  289.    wt: 2:   1 Numerical view of lines and their equations
  290.    wt: 2:   What is and is not here
  291.    wt: 2:   7 Complex Numbers Appetizer
  292.    wt: 2:   6 Polar Multiplication and Rotation
  293.    wt: 2:   5 Cartesian Addition and Translation
  294.    wt: 2:   4 Polar Coordinates to and from
  295.    wt: 2:   2 Cartesian Coordinates with signs
  296.    wt: 2:   PS H Distributive Law For Complex Numbers
  297.    wt: 2:   PS E Multiplication with Polar Coordinates
  298.    wt: 2:   PS D Addition with Cartesian Coordinates
  299.    wt: 2:   16 Angles Subtended By Chords and Diameters
  300.    wt: 2:   6 Ruler and compass Angle Bisection
  301.    wt: 2:   1 Initial Concepts and Terms
  302.    wt: 2:   3 Lengths and Areas on Maps and Plans
  303.    wt: 2:   musings do not puiblish real numbers
  304.    wt: 2:   A Modular and Remainder Arithmetic
  305.    wt: 2:   A Signed Number Arithmetic Review
  306.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  307.    wt: 2:   22 Multiplication of Signed Numbers
  308.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  309.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  310.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  311.    wt: 2:   13 Arrows and Vectors in a Plane
  312.    wt: 2:   12 Real Numbers Line Signed Coordinates
  313.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  314.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  315.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  316.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  317.    wt: 2:   1 Fractions with Finite Decimal Expansions
  318.    wt: 2:   E Long Division Methods more
  319.    wt: 2:   D Long Division Methods
  320.    wt: 2:   B Decimal Comparison and Subtraction
  321.    wt: 2:   7 Decimals Multiplication Methods Examples
  322.    wt: 2:   5 Distributive Law for Whole Numbers
  323.    wt: 2:   3 Multiplicative Counting Skills Principles
  324.    wt: 2:   1 The Counting Origins of Numbers
  325.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  326.    wt: 2:   4 Rates Ratios and Proporitionality
  327.    wt: 2:   6 Equations and Systems Equivalent or Implied
  328.    wt: 2:   2 Addition and Multiplication Axioms
  329.    wt: 2:   4 Comparison of Negative Numbers
  330.    wt: 2:   1 Real Numbers Comparison
  331.    wt: 2:   16 Real Numbers Comparison
  332.    wt: 2:   14 Real Number Multiplication
  333.    wt: 2:   13 Real Number Subtraction
  334.    wt: 2:   12 Real Number Additive Inverses or Negatives
  335.    wt: 2:   11 Real Number Addition
  336.    wt: 2:   8 Coordinates for Maps and Planes
  337.    wt: 2:   7 Real Numbers as Line Cordinates
  338.    wt: 2:   6 Unsigned Real Numbers
  339.    wt: 2:   5 Rational Numbers More
  340.    wt: 2:   4 Rational Numbers
  341.    wt: 2:   3 Geometric Formulas and Function Notation
  342.    wt: 2:   1 Formulas Dependence and Function Notation
  343.    wt: 2:   9 Sets in Probability and Statistics
  344.    wt: 2:   8 Sets of Numbers
  345.    wt: 2:   3 Counting with Sets etc
  346.    wt: 2:   5 Talking about Numbers and Quantities
  347.    wt: 2:   4 A Brief Story of numbers and algebra
  348.    wt: 2:   013 Travel Time Tables
  349.    wt: 2:   010 Repeated Addition of Time Intervals
  350.    wt: 2:   8 Addition of Time Intervals via subtotaling
  351.    wt: 2:   7 Addition of Time Intervals
  352.    wt: 2:   6 How long is a million seconds
  353.    wt: 2:   5 Conversion Arithmetic
  354.    wt: 2:   Example 1. Area Between x and x squared
  355.    wt: 2:   Example 4 with x function of y
  356.    wt: 2:   38 Formulas and derivatives for powers and roots
  357.    wt: 2:   10 Three one sided limits with infinite values
  358.    wt: 2:   9 Limits Continuity and Composition
  359.    wt: 2:   5 Jumps and absence of unlimited error control
  360.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  361.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  362.    wt: 2:   Appendix E. How To Study Mathematics and Why
  363.    wt: 2:   Appendix D. What to do in School and Why
  364.    wt: 2:   Chapter 31 Direct and Indirect Reason
  365.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  366.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  367.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  368.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  369.    wt: 2:   Chapter 20. Degrees and Radians
  370.    wt: 2:   Chapter 19. Functions and Sets
  371.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  372.    wt: 2:   Chapter 12. Shorthand Usage Guide
  373.    wt: 2:   Chapter 11. Why Shorthand
  374.    wt: 2:   Chapter 10 Describing and Changing Calculations
  375.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  376.    wt: 2:   Chapter 8 Three Skills For Algebra
  377.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  378.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  379.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  380.    wt: 2:   R Why Learn Mathematics Skills
  381.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  382.    wt: 2:   O On Learning Mathematics and Science
  383.    wt: 2:   N Improving Marks on Tests and Finals
  384.    wt: 2:   J. More on written work and showing skill
  385.    wt: 2:   H Jigsaw puzzles and problem solving
  386.    wt: 2:   G. Written work formats for developing and showing skill
  387.    wt: 2:   E. When and how to correct errors
  388.    wt: 2:   D. Check work a must with a caution
  389.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  390.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  391.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  392.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  393.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  394.    wt: 1:   Appendix 1 primary and preschool mathematic
  395.    wt: 1:   G LAMP Introduction Problem Solving Skills
  396.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  397.    wt: 1:   Skills Chapter 5 Calculus
  398.    wt: 1:   Skills Chapter 4 Logic
  399.    wt: 1:   Skills Chapter 3 Algebra
  400.    wt: 1:   Skills Chapter 2 Geometry
  401.    wt: 1:   Skills Chapter 1 Arithmetic
  402.    wt: 1:   Skills Chapter 0 Introduction
  403.    wt: 1:   5 logarithms and exponentials etc
  404.    wt: 1:   key notes and themes
  405.    wt: 1:   what should be learnt and When
  406.    wt: 1:   the trouble with algebra
  407.    wt: 1:   standards for course material
  408.    wt: 1:   Theory of Knowledge
  409.    wt: 1:   Education in mathematics science and technology
  410.    wt: 1:   Motivation and Context Problem
  411.    wt: 1:   fairness and inductive principles for instruction
  412.    wt: 1:   chapitre 12 00 les iles et division
  413.    wt: 1:   Home Tutoring and Home Schooling
  414.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  415.    wt: 1:   24 Standards For Skill Develoment Take II
  416.    wt: 1:   24 Standards For Skill Develoment
  417.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  418.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  419.    wt: 1:   17 Math Booklets for children and young teenagers
  420.    wt: 1:   14 Multiplication and Times Tables
  421.    wt: 1:   13 Addition and Addition Tables
  422.    wt: 1:   12 Goals and Objectives For Mathematics
  423.    wt: 1:   11 Help and Defend Your Child or Teens Education
  424.    wt: 1:   5 Patience Please for Yourself and Your Charges
  425.    wt: 1:   4 Learning Takes Time and Effort
  426.    wt: 1:   1 Speaking Skills
  427.    wt: 1:   Ages 12 to 14 Geometry
  428.    wt: 1:   Ages 12 to 14 Arithmetic
  429.    wt: 1:   Ages 10 to 12 Geometry
  430.    wt: 1:   Ages 10 to 12 Arithmetic
  431.    wt: 1:   Ages 9 to 10
  432.    wt: 1:   Ages 8 to 9
  433.    wt: 1:   Ages 7 to 8
  434.    wt: 1:   Ages 6 to 7
  435.    wt: 1:   Ages 4 plus to 5 plus
  436.    wt: 1:   Ages 3 plus to 4 plus
  437.    wt: 1:   26 Function definitions done and coming
  438.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  439.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  440.    wt: 1:   19 Horizontal line rule and method
  441.    wt: 1:   18 Vertical Line Rule and Method
  442.    wt: 1:   17 Function maxima minima and their location
  443.    wt: 1:   11 Function Domain Range Source and Targets
  444.    wt: 1:   9 Set theory term relation possible origins
  445.    wt: 1:   8 Set view of relations and functions
  446.    wt: 1:   7 Functions with finite domains
  447.    wt: 1:   6 Set Existence Formation and Notation
  448.    wt: 1:   4 Function notation in and beyond mathematics
  449.    wt: 1:   9 quadratics physical and further context
  450.    wt: 1:   11 Growth and Decay in Biology
  451.    wt: 1:   10 Exponential Growth and Decay Models
  452.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  453.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  454.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  455.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  456.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  457.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  458.    wt: 1:   4 Polynomials Long division linear divisor
  459.    wt: 1:   16 cotangent function Definition Graph and Inverse
  460.    wt: 1:   15 cosecant function Definition Graph and Inverse
  461.    wt: 1:   14 secant function Definition Graph and Inverse
  462.    wt: 1:   13 cosecant function Definition Graph and Inverse
  463.    wt: 1:   8 Radian Measures of Common Angles
  464.    wt: 1:   7 Radian Measures in special Triangles
  465.    wt: 1:   6 Radian Measure to Degrees
  466.    wt: 1:   5 Degrees to Radian Measure
  467.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  468.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  469.    wt: 1:   2 Radian Measure Numerical Value of one degree
  470.    wt: 1:   A Global Time and Navigation
  471.    wt: 1:   15 Dot and Cross Product
  472.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  473.    wt: 1:   6 Vectors with Coordinates
  474.    wt: 1:   3 Navigation with Arrows or Vectors
  475.    wt: 1:   4 graphing y=Asin(x c)
  476.    wt: 1:   3 graphing y=f(x c) plus K
  477.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  478.    wt: 1:   1 graphing y=f(x a)
  479.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  480.    wt: 1:   Triangle Angles Sum To 180 Degrees
  481.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  482.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  483.    wt: 1:   Straight Lines ASA Intersection Study More
  484.    wt: 1:   Straight Lines ASA Intersection Study
  485.    wt: 1:   Straight Lines Instersection Solving Equations
  486.    wt: 1:   Straight Lines Intersection of
  487.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  488.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  489.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  490.    wt: 1:   29 secant cosecant and cotangent for acute angles
  491.    wt: 1:   27 Logarithmic use of products of sines and cosines
  492.    wt: 1:   26 Formulas for products of sines and cosines
  493.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  494.    wt: 1:   21 sine and cosine Half Angle Formulas
  495.    wt: 1:   20 sine and cosine Double Angle Formulas
  496.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  497.    wt: 1:   17E Trig Formulas for dot and cross Products
  498.    wt: 1:   17D cis formulas for sine cosines and tangent
  499.    wt: 1:   17C sine and cosine double triple angle formulas
  500.    wt: 1:   17A The complex number valued trig function cis
  501.    wt: 1:   10 Graphs of sines and cosines many periods
  502.    wt: 1:   9 Graphs of sine and cosine over one period
  503.    wt: 1:   7 period of sine and cosine
  504.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  505.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  506.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  507.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  508.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  509.    wt: 1:   19 N th Roots of Unity
  510.    wt: 1:   18 Sixth Roots of Unity
  511.    wt: 1:   17 Cube Roots of unity
  512.    wt: 1:   15 Pythagorean Theorem Converse
  513.    wt: 1:   14 Law of cosines
  514.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  515.    wt: 1:   8 Unit Circle Development of Trigonometry
  516.    wt: 1:   7 Second Way to Calculate Products
  517.    wt: 1:   5 An Easy Proof of the Distributive Law
  518.    wt: 1:   4 Multiplication Properties
  519.    wt: 1:   3 Addition 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:   1 Angle Measurement with Degrees
  524.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  525.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  526.    wt: 1:   8 Similarity of Triangles and Polygons
  527.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  528.    wt: 1:   4 Similarity Definition with Coordinate
  529.    wt: 1:   3 Similarity by Design with coordinates
  530.    wt: 1:   Four Simple Exercises
  531.    wt: 1:   12 Links Lessons elsewhere
  532.    wt: 1:   11 A Partial Summary
  533.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  534.    wt: 1:   8 Mid Point Formula
  535.    wt: 1:   6 Intersection of lines by solving linear systems
  536.    wt: 1:   5 Algebraic View of Slopes
  537.    wt: 1:   4 Equations for lines three forms
  538.    wt: 1:   3 Slope product for perpendicular lines
  539.    wt: 1:   2 point slope equation for a line
  540.    wt: 1:   13 Pythagorean spatial distance formulas
  541.    wt: 1:   12 Spatial Coordinates
  542.    wt: 1:   11 Triangle Inequality
  543.    wt: 1:   10 Pythagorean plane distance formula
  544.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  545.    wt: 1:   8 Distance Between Points on a Line
  546.    wt: 1:   3 Rectangular Coordinates Review
  547.    wt: 1:   1 Cartesian Coordinates sans signs
  548.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  549.    wt: 1:   PS G Rotation Distributes over Addition
  550.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  551.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  552.    wt: 1:   PS B Parallelogram Construction Methods
  553.    wt: 1:   PS A Kite Construction Methods
  554.    wt: 1:   21 Parallelograms
  555.    wt: 1:   19 Right Triangle Similarity
  556.    wt: 1:   18 Triangle Similarity Take 1
  557.    wt: 1:   17 Right Bisectors of Triangle Sides
  558.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  559.    wt: 1:   14 Parallel Lines Postulate
  560.    wt: 1:   13 Angle Side Angle Failure
  561.    wt: 1:   12 Side Angle Side Failure
  562.    wt: 1:   11 Triangle Construction Fails
  563.    wt: 1:   10 Dropping a perpendicular to line
  564.    wt: 1:   9 Construction of a right bisector
  565.    wt: 1:   8 Isoceles Triangles
  566.    wt: 1:   7 Angle Side Angle
  567.    wt: 1:   5 Side Angle Side
  568.    wt: 1:   4 Side Side Side
  569.    wt: 1:   3 Isometry of Triangles Congruence
  570.    wt: 1:   2 Correspondence between Triangles
  571.    wt: 1:   Short Course on Euclidean Geometry
  572.    wt: 1:   A Measurement with Ruler Proper Use
  573.    wt: 1:   6 Figuring with Maps Not to Scale
  574.    wt: 1:   26 More Less Greater Than Comparison
  575.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  576.    wt: 1:   23 Distributive Law Two Derivations
  577.    wt: 1:   21 Addition of Multiples of a Single Vector
  578.    wt: 1:   19 Signed Multiples of Vectors
  579.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  580.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  581.    wt: 1:   15 Head to Tails in place Addition Associative
  582.    wt: 1:   4 Location of Point in Decimal Addition
  583.    wt: 1:   3 Location of Point in Decimal Multiplication
  584.    wt: 1:   2 Counting Digits in Decimal Multiplication
  585.    wt: 1:   C Three Decimal Subtraction Methods
  586.    wt: 1:   A Decimal Addition Columm Methods
  587.    wt: 1:   8 Column Multiplication Methods in General
  588.    wt: 1:   6 Column Methods for Decimal Multiplication
  589.    wt: 1:   4 Commutative Law Groups Counting Form
  590.    wt: 1:   5 Proportionality in Equivalent Fractions
  591.    wt: 1:   3 Proportionality Examples
  592.    wt: 1:   2 Algebraic View
  593.    wt: 1:   1 What is Proportionality
  594.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  595.    wt: 1:   6 Compound Interest Forward and Backwards
  596.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  597.    wt: 1:   5 Equality in Algebra
  598.    wt: 1:   3 Product Axioms Two Forms
  599.    wt: 1:   1 Equivalent Computation Rules
  600.    wt: 1:   5 Greater More Less Than Signs in General
  601.    wt: 1:   9 Coordinates for Regions in Space
  602.    wt: 1:   3 Fractions
  603.    wt: 1:   2 Integers
  604.    wt: 1:   5 Independent versus Dependent Variables
  605.    wt: 1:   4 Changing Letters
  606.    wt: 1:   2 Computation Rules Evaluation
  607.    wt: 1:   3 GE III Equation Addition and Multiplication
  608.    wt: 1:   2 Essentially one exercises three with solution
  609.    wt: 1:   Skill Development Notes
  610.    wt: 1:   10 One Example
  611.    wt: 1:   9 Three Examples
  612.    wt: 1:   8 One Example
  613.    wt: 1:   7 Two Examples
  614.    wt: 1:   6 Three Examples
  615.    wt: 1:   5 Three Examples
  616.    wt: 1:   4 Two Examples
  617.    wt: 1:   3 Two Examples
  618.    wt: 1:   2 Three Examples
  619.    wt: 1:   13 Naming Identifying Formulas with Words
  620.    wt: 1:   1 Written work formats for developing and showing skill
  621.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  622.    wt: 1:   7 Cautious or Safe Set Construction
  623.    wt: 1:   6 Power Set Notation
  624.    wt: 1:   5 Product Builder Notation
  625.    wt: 1:   4 Subset Builder Notation
  626.    wt: 1:   2 Venn Diagrams
  627.    wt: 1:   1 Finite Sets
  628.    wt: 1:   1 Three Skills For Algebra
  629.    wt: 1:   Example 2 volume of a cone
  630.    wt: 1:   Example 1 volume of a pyramid
  631.    wt: 1:   Volume of Solid by Cross Sections Lesson
  632.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  633.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  634.    wt: 1:   Example 3
  635.    wt: 1:   Example 2
  636.    wt: 1:   Example 1
  637.    wt: 1:   Area Between Curves Lesson Take 2
  638.    wt: 1:   Area Between Curves Lesson Take 1
  639.    wt: 1:   Summary
  640.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  641.    wt: 1:   17 Derivatives of quotients of sine and cosine
  642.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  643.    wt: 1:   15 sine and cosine derivatives 3rd step
  644.    wt: 1:   14 sine and cosine derivatives 2nd step
  645.    wt: 1:   13 sine and cosine derivatives 1st step
  646.    wt: 1:   11 Limits at infinity Three Examples
  647.    wt: 1:   8 Four Animated Examples
  648.    wt: 1:   7 Evaluation by immediate or delayed substitution
  649.    wt: 1:   6 Continuity at a point
  650.    wt: 1:   4 Numerical properties
  651.    wt: 1:   3 Decimal insights for limits continuity convergence
  652.    wt: 1:   2 Algebraic codification
  653.    wt: 1:   1 Numerical introduction
  654.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  655.    wt: 1:   G.5 Motions With Bounded Velocities
  656.    wt: 1:   PostScript For and Against Decimal Perspectives
  657.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  658.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  659.    wt: 1:   Chapter 22 Complex Numbers
  660.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  661.    wt: 1:   Chapter 12. Units and Slopes
  662.    wt: 1:   Chapter 10 Slopes and Units
  663.    wt: 1:   Chapter 7 Slopes and Velocity
  664.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  665.    wt: 1:   Chapter 2. Slopes and Ski Trails
  666.    wt: 1:   Postscript More on Better Performance
  667.    wt: 1:   Postscript For Better Performance
  668.    wt: 1:   Appendix C. How to Read
  669.    wt: 1:   Appendix B. How To Learn
  670.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  671.    wt: 1:   Chapter 30 Truth Tables
  672.    wt: 1:   Chapter 28 Occurrence Tables
  673.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  674.    wt: 1:   Chapter 25. Mathematical Induction Examples
  675.    wt: 1:   Chapter 23. Notation For Sums
  676.    wt: 1:   Chapter 21. Third Reading Guide
  677.    wt: 1:   Chapter 18. Rules for Algebra
  678.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  679.    wt: 1:   Chapter 16. Painless Theorem Proving
  680.    wt: 1:   Chapter 15. Solving Linear Equations
  681.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  682.    wt: 1:   Chapter 13. Second Reading Guide
  683.    wt: 1:   Postscript What is a Variable
  684.    wt: 1:   Solutions For Arithmetic Exercises
  685.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  686.    wt: 1:   Chapter 6 Change of Language
  687.    wt: 1:   Chapter 4 Longer Chains of Reason
  688.    wt: 1:   Chapter 3 Chains of Reason
  689.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  690.    wt: 1:   Foreword
  691.    wt: 1:   Chapter 2 For and Against Mathematics
  692.    wt: 1:   Postscript B More on Story Telling and Reason
  693.    wt: 1:   Chapter 24 Direct and Indirect Reason
  694.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  695.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  696.    wt: 1:   Chapter 18 Sense and Knowledge
  697.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  698.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  699.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  700.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  701.    wt: 1:   S Adding words to algebra
  702.    wt: 1:   N Mathematics Prepare for College Studies
  703.    wt: 1:   M Words to extend arithmetic
  704.    wt: 1:   H more Routine to non routine problem solving
  705.    wt: 1:   F. The student teacher tutor feedback loop
  706.    wt: 1:   C. Domino effect of being careful
  707.    wt: 1:   B. Domino effect of errors
  708.    wt: 1:   A. Skill has to be seen to believed
  709.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  710.    wt: 1:   Chapter 8 Skipped Topics and Why
  711.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  712.    wt: 1:   Chapter 6 More Algebra and Geometry
  713.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  714.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  715.    wt: 1:   Helping the Blind in Logic and Mathematics
  716.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  717.    wt: 1:   More Algebra and Slope based Calculus Preview
  718.    wt: 1:   The Math Forum and Site Content
  719.    wt: 11:   Division with Counts and Length
  720.    wt: 11:   4. How to add with decimals B with conversions
  721.    wt: 10:   5 Reciprocals and Division for Fractions with Units
  722.    wt: 10:   Long Division forwards and backwards Example 3
  723.    wt: 10:   Long Division forwards and backwards Example 2
  724.    wt: 10:   Long Division forwards and backwards Example 1
  725.    wt: 10:   10 Division by Five Long and Short Ways
  726.    wt: 10:   4 Division with 2 Digit Divsors
  727.    wt: 10:   2 Division with Single Digit Divisors
  728.    wt: 10:   6 Subtraction with Conversion Example with Exercises
  729.    wt: 10:   4 Subtraction with Conversions Borrows and Letter J
  730.    wt: 10:   8 What skills and work habits to require
  731.    wt: 10:   6. Counting and adding units and mixed units
  732.    wt: 10:   3. How to add with decimals A sans conversions

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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