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

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

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

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

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

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

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

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50 matches:

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

Web Page Search

375 matches:

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

Extended Search

762 matches:

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

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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