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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52 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:   14 Degrees to Radians and Radians to Degrees/
  19.    wt: 2:   13 Vectors/
  20.    wt: 2:   12 Function Translating and Rescaling/
  21.    wt: 2:   11 Parallel Straight Lines and Transversals/
  22.    wt: 2:   10 Intersecting Straight Lines and Transversals/
  23.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  24.    wt: 2:   7 Complex Numbers/
  25.    wt: 2:   4 Lines and Slopes Take 1/
  26.    wt: 2:   3 Cartesian and Polar Coordinates/
  27.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  28.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  29.    wt: 1:   Mathematics Skills Year by Year/
  30.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  31.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  32.    wt: 1:   8 Unit Circle Trigonometry/
  33.    wt: 1:   6 Trigonometry first steps/
  34.    wt: 1:   5 What is Similarity/
  35.    wt: 1:   1 Maps Plans Measurement/
  36.    wt: 1:   Geometry maps plans trigonometry vectors/
  37.    wt: 1:   B Real Numbers Extrinsic Development/
  38.    wt: 1:   A Origins of Counting and Figuring Methods/
  39.    wt: 1:   9 Proportionality Backwards and Forwards/
  40.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  41.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  42.    wt: 1:   5 Real Numbers/
  43.    wt: 1:   4 Computation Rules and Function Notation/
  44.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  45.    wt: 1:   Step 1 Stick diagram and fractions/
  46.    wt: 1:   Time Date Matters/
  47.    wt: 1:   Skills with take home value/
  48.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  49.    wt: 1:   13 Lessons on Limits and Continuity/
  50.    wt: 1:   Volume 2 Three Skills For Algebra/
  51.    wt: 1:   Work and Study Tips/
  52.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

361 matches:

  1.    wt: 3:   13 From one to one to many to one
  2.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  3.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  4.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  5.    wt: 2:   Ramblings Extrinsic numbers theory
  6.    wt: 2:   5 logarithms and exponentials etc
  7.    wt: 2:   2 Reading and Writing Skills
  8.    wt: 2:   26 Function definitions done and coming
  9.    wt: 2:   10 Exponential Growth and Decay Models
  10.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  11.    wt: 2:   Vector and Complex Number Applet
  12.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  13.    wt: 2:   14 cosine even and sine and tangent are odd
  14.    wt: 2:   9 Graphs of sine and cosine over one period
  15.    wt: 2:   21 Logarithms Powers and Exponentials
  16.    wt: 2:   3 Lengths and Areas on Maps and Plans
  17.    wt: 2:   13 Arrows and Vectors in a Plane
  18.    wt: 2:   11 Signed Number Addition and Addition Properties
  19.    wt: 2:   2 Combing Counts Addition Skills and Principles
  20.    wt: 2:   2 More and Less Than for Counts and Measures
  21.    wt: 2:   10 Real Number Lengths and Signs
  22.    wt: 2:   1 Whole and Natural Numbers
  23.    wt: 2:   5 Talking about Numbers and Quantities
  24.    wt: 2:   4 A Brief Story of numbers and algebra
  25.    wt: 2:   1 More and Less Than for Counts and Measures
  26.    wt: 2:   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:   8 What skills and work habits to require
  33.    wt: 2:   6. Counting and adding units and mixed units
  34.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  35.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  36.    wt: 2:   Quick history of numbers and algebra
  37.    wt: 2:   38 Formulas and derivatives for powers and roots
  38.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  39.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  40.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  41.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  42.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  43.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  44.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  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:   I. Logic and language skills
  50.    wt: 2:   How to Build Skills and Confidence
  51.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  52.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  53.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  54.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  55.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  56.    wt: 1:   Appendix 1 primary and preschool mathematic
  57.    wt: 1:   G LAMP Introduction Problem Solving Skills
  58.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  59.    wt: 1:   Skills Chapter 5 Calculus
  60.    wt: 1:   Skills Chapter 4 Logic
  61.    wt: 1:   Skills Chapter 3 Algebra
  62.    wt: 1:   Skills Chapter 2 Geometry
  63.    wt: 1:   Skills Chapter 1 Arithmetic
  64.    wt: 1:   Skills Chapter 0 Introduction
  65.    wt: 1:   7 logic review and decimals an odd combination
  66.    wt: 1:   2 arithmetic with signed numbers
  67.    wt: 1:   1 arithmetic with unsigned numbers
  68.    wt: 1:   key notes and themes
  69.    wt: 1:   what should be learnt and When
  70.    wt: 1:   Secondary One Mathematics
  71.    wt: 1:   standards for course material
  72.    wt: 1:   Theory of Knowledge
  73.    wt: 1:   Education in mathematics science and technology
  74.    wt: 1:   Motivation and Context Problem
  75.    wt: 1:   fairness and inductive principles for instruction
  76.    wt: 1:   Home Tutoring and Home Schooling
  77.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  78.    wt: 1:   24 Standards For Skill Develoment Take II
  79.    wt: 1:   24 Standards For Skill Develoment
  80.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  81.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  82.    wt: 1:   17 Math Booklets for children and young teenagers
  83.    wt: 1:   14 Multiplication and Times Tables
  84.    wt: 1:   13 Addition and Addition Tables
  85.    wt: 1:   12 Goals and Objectives For Mathematics
  86.    wt: 1:   11 Help and Defend Your Child or Teens Education
  87.    wt: 1:   5 Patience Please for Yourself and Your Charges
  88.    wt: 1:   4 Learning Takes Time and Effort
  89.    wt: 1:   1 Speaking Skills
  90.    wt: 1:   Ages 12 to 14 Skills with take home value
  91.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  92.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  93.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  94.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  95.    wt: 1:   19 Horizontal line rule and method
  96.    wt: 1:   18 Vertical Line Rule and Method
  97.    wt: 1:   17 Function maxima minima and their location
  98.    wt: 1:   11 Function Domain Range Source and Targets
  99.    wt: 1:   9 Set theory term relation possible origins
  100.    wt: 1:   8 Set view of relations and functions
  101.    wt: 1:   6 Set Existence Formation and Notation
  102.    wt: 1:   4 Function notation in and beyond mathematics
  103.    wt: 1:   9 quadratics physical and further context
  104.    wt: 1:   11 Growth and Decay in Biology
  105.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  106.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  107.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  108.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  109.    wt: 1:   16 cotangent function Definition Graph and Inverse
  110.    wt: 1:   15 cosecant function Definition Graph and Inverse
  111.    wt: 1:   14 secant function Definition Graph and Inverse
  112.    wt: 1:   13 cosecant function Definition Graph and Inverse
  113.    wt: 1:   9 Summary Degrees to Radians and back
  114.    wt: 1:   2 Radian Measure Numerical Value of one degree
  115.    wt: 1:   1 Degrees and Radians Introduction
  116.    wt: 1:   A Global Time and Navigation
  117.    wt: 1:   15 Dot and Cross Product
  118.    wt: 1:   13 Velocity Vectors in Physics
  119.    wt: 1:   11 Component Method
  120.    wt: 1:   8 Parallel Vectors
  121.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  122.    wt: 1:   6 Vectors with Coordinates
  123.    wt: 1:   3 Navigation with Arrows or Vectors
  124.    wt: 1:   Parallel Lines and Parallel Transversals
  125.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  126.    wt: 1:   Parallel Lines and Interior Angles
  127.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  128.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  129.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  130.    wt: 1:   29 secant cosecant and cotangent for acute angles
  131.    wt: 1:   27 Logarithmic use of products of sines and cosines
  132.    wt: 1:   26 Formulas for products of sines and cosines
  133.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  134.    wt: 1:   21 sine and cosine Half Angle Formulas
  135.    wt: 1:   20 sine and cosine Double Angle Formulas
  136.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  137.    wt: 1:   17E Trig Formulas for dot and cross Products
  138.    wt: 1:   17D cis formulas for sine cosines and tangent
  139.    wt: 1:   17C sine and cosine double triple angle formulas
  140.    wt: 1:   17A The complex number valued trig function cis
  141.    wt: 1:   12 Graph of tangent function for one period
  142.    wt: 1:   10 Graphs of sines and cosines many periods
  143.    wt: 1:   7 period of sine and cosine
  144.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  145.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  146.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  147.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  148.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  149.    wt: 1:   20 N th Roots of Complex Numbers
  150.    wt: 1:   16 References and Originality Question
  151.    wt: 1:   13 Trig Formulas for dot and cross Products
  152.    wt: 1:   12 cis formulas for sine cosines and tangent
  153.    wt: 1:   11 sine and cosine double triple angle formulas
  154.    wt: 1:   9 The complex number valued trig function cis
  155.    wt: 1:   6 Field Properties of Complex Number
  156.    wt: 1:   2 Complex Numbers made easier we hope
  157.    wt: 1:   Appetizer A Complex Number Applet
  158.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  159.    wt: 1:   3 Trigonometric Ratios sine and cosine
  160.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  161.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  162.    wt: 1:   8 Similarity of Triangles and Polygons
  163.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  164.    wt: 1:   10 Midpoint of [a b] and [b a]
  165.    wt: 1:   7 Exercises to test skill and concept mastery
  166.    wt: 1:   1 Numerical view of lines and their equations
  167.    wt: 1:   What is and is not here
  168.    wt: 1:   7 Complex Numbers Appetizer
  169.    wt: 1:   6 Polar Multiplication and Rotation
  170.    wt: 1:   5 Cartesian Addition and Translation
  171.    wt: 1:   4 Polar Coordinates to and from
  172.    wt: 1:   PS H Distributive Law For Complex Numbers
  173.    wt: 1:   16 Angles Subtended By Chords and Diameters
  174.    wt: 1:   6 Ruler and compass Angle Bisection
  175.    wt: 1:   1 Initial Concepts and Terms
  176.    wt: 1:   musings do not puiblish real numbers
  177.    wt: 1:   A Modular and Remainder Arithmetic
  178.    wt: 1:   A Signed Number Arithmetic Review
  179.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  180.    wt: 1:   22 Multiplication of Signed Numbers
  181.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  182.    wt: 1:   19 Signed Multiples of Vectors
  183.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  184.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  185.    wt: 1:   12 Real Numbers Line Signed Coordinates
  186.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  187.    wt: 1:   8 Division and Mulplication of Compound Fractions
  188.    wt: 1:   B Decimal Comparison and Subtraction
  189.    wt: 1:   5 Distributive Law for Whole Numbers
  190.    wt: 1:   3 Multiplicative Counting Skills Principles
  191.    wt: 1:   1 The Counting Origins of Numbers
  192.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  193.    wt: 1:   4 Rates Ratios and Proporitionality
  194.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  195.    wt: 1:   6 Compound Interest Forward and Backwards
  196.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  197.    wt: 1:   6 Equations and Systems Equivalent or Implied
  198.    wt: 1:   4 Subtraction and Division Axioms
  199.    wt: 1:   2 Addition and Multiplication Axioms
  200.    wt: 1:   4 Comparison of Negative Numbers
  201.    wt: 1:   3 More and Less Than with Unlike Signs
  202.    wt: 1:   1 Real Numbers Comparison
  203.    wt: 1:   16 Real Numbers Comparison
  204.    wt: 1:   15 Real Number Division
  205.    wt: 1:   14 Real Number Multiplication
  206.    wt: 1:   13 Real Number Subtraction
  207.    wt: 1:   12 Real Number Additive Inverses or Negatives
  208.    wt: 1:   11 Real Number Addition
  209.    wt: 1:   8 Coordinates for Maps and Planes
  210.    wt: 1:   7 Real Numbers as Line Cordinates
  211.    wt: 1:   6 Unsigned Real Numbers
  212.    wt: 1:   5 Rational Numbers More
  213.    wt: 1:   4 Rational Numbers
  214.    wt: 1:   3 Geometric Formulas and Function Notation
  215.    wt: 1:   1 Formulas Dependence and Function Notation
  216.    wt: 1:   3 GE III Equation Addition and Multiplication
  217.    wt: 1:   2 Essentially one exercises three with solution
  218.    wt: 1:   1 Essentially One Unknown
  219.    wt: 1:   10 One Example
  220.    wt: 1:   8 One Example
  221.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  222.    wt: 1:   9 Volume of Cone
  223.    wt: 1:   1 Written work formats for developing and showing skill
  224.    wt: 1:   9 Sets in Probability and Statistics
  225.    wt: 1:   8 Sets of Numbers
  226.    wt: 1:   1 Three Skills For Algebra
  227.    wt: 1:   3 Comparison of Negative Numbers
  228.    wt: 1:   2 More and Less Than with Unlike Signs
  229.    wt: 1:   1 Squares and Square Roots Introduction
  230.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  231.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  232.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  233.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  234.    wt: 1:   7 GCD and LCM from prime factorization
  235.    wt: 1:   4 LCM of 8 and 10 via Prime
  236.    wt: 1:   3 Counting with Tables and Trees II
  237.    wt: 1:   2 Counting with Tables and Trees I
  238.    wt: 1:   1 Counting and Counting Methods I
  239.    wt: 1:   10 dividing signed numbers
  240.    wt: 1:   9 subtracting signed numbers
  241.    wt: 1:   8 multiplying signed numbers
  242.    wt: 1:   7 negative and additive inverse
  243.    wt: 1:   6 adding signed numbers
  244.    wt: 1:   3 signed coordinates for maps and planes
  245.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  246.    wt: 1:   2 Equality and Units
  247.    wt: 1:   1 Addition and Subtraction with Units
  248.    wt: 1:   B Fractions and Two Term Ratios
  249.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  250.    wt: 1:   21 Reciprocals for Fractions and Wholes
  251.    wt: 1:   17 Efficient Ways to Add and Subtract
  252.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  253.    wt: 1:   14 Adding and Subtracting with Like Denominators
  254.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  255.    wt: 1:   6 Multiplication of Mixed Numbers
  256.    wt: 1:   11 Adding Integers Formulas and Examples
  257.    wt: 1:   8 Multiplication by Signed Numbers Integers
  258.    wt: 1:   6 Multiplication by Natural Numbers
  259.    wt: 1:   5 Zero Movement and Additive Inverses
  260.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  261.    wt: 1:   17 Identify and Count Factors using Primes
  262.    wt: 1:   12 LCD GCD and LCM using Primes
  263.    wt: 1:   7 Calculator Usage Notes and Cautions
  264.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  265.    wt: 1:   5 Prime Factorization and a Square Rule
  266.    wt: 1:   3 video Primes and Composites from 9 times table
  267.    wt: 1:   2 Prime and Composites less than 16
  268.    wt: 1:   Division with Counts and Length
  269.    wt: 1:   Long Division forwards and backwards Example 3
  270.    wt: 1:   Long Division forwards and backwards Example 2
  271.    wt: 1:   Long Division forwards and backwards Example 1
  272.    wt: 1:   10 Division by Five Long and Short Ways
  273.    wt: 1:   4 Two and Three Digit Multipliers
  274.    wt: 1:   3 More One Digit Multipliers
  275.    wt: 1:   2 One Digit Multipliers
  276.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  277.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  278.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  279.    wt: 1:   11 Place Value SI Standard International way
  280.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  281.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  282.    wt: 1:   Exact Arithmetic Wholes and Fractions
  283.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  284.    wt: 1:   016 Numbering Occidental Calendar Days
  285.    wt: 1:   015 School and work day counting tables
  286.    wt: 1:   011 Division of Time Intervals By Numbers
  287.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  288.    wt: 1:   4 Mixing and Changing Units of Time
  289.    wt: 1:   3 Units and Lengths of Time
  290.    wt: 1:   2 Time and Date Matters in School
  291.    wt: 1:   1 Intro of Kids To Time Date Skills
  292.    wt: 1:   Example 2 volume of a cone
  293.    wt: 1:   Example 1. Area Between x and x squared
  294.    wt: 1:   34 Derivative of exponential function
  295.    wt: 1:   17 Derivatives of quotients of sine and cosine
  296.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  297.    wt: 1:   15 sine and cosine derivatives 3rd step
  298.    wt: 1:   14 sine and cosine derivatives 2nd step
  299.    wt: 1:   13 sine and cosine derivatives 1st step
  300.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  301.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  302.    wt: 1:   10 Three one sided limits with infinite values
  303.    wt: 1:   9 Limits Continuity and Composition
  304.    wt: 1:   5 Jumps and absence of unlimited error control
  305.    wt: 1:   D2 Limits of Monotone Sequences
  306.    wt: 1:   PostScript For and Against Decimal Perspectives
  307.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  308.    wt: 1:   Chapter 22 Complex Numbers
  309.    wt: 1:   Chapter 12. Units and Slopes
  310.    wt: 1:   Chapter 10 Slopes and Units
  311.    wt: 1:   Chapter 7 Slopes and Velocity
  312.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  313.    wt: 1:   Chapter 2. Slopes and Ski Trails
  314.    wt: 1:   Appendix E. How To Study Mathematics and Why
  315.    wt: 1:   Appendix D. What to do in School and Why
  316.    wt: 1:   Chapter 31 Direct and Indirect Reason
  317.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  318.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  319.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  320.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  321.    wt: 1:   Chapter 20. Degrees and Radians
  322.    wt: 1:   Chapter 19. Functions and Sets
  323.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  324.    wt: 1:   Chapter 12. Shorthand Usage Guide
  325.    wt: 1:   Chapter 11. Why Shorthand
  326.    wt: 1:   Chapter 10 Describing and Changing Calculations
  327.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  328.    wt: 1:   Chapter 8 Three Skills For Algebra
  329.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  330.    wt: 1:   Chapter 2 For and Against Mathematics
  331.    wt: 1:   Postscript B More on Story Telling and Reason
  332.    wt: 1:   Chapter 24 Direct and Indirect Reason
  333.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  334.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  335.    wt: 1:   Chapter 18 Sense and Knowledge
  336.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  337.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  338.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  339.    wt: 1:   R Why Learn Mathematics Skills
  340.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  341.    wt: 1:   O On Learning Mathematics and Science
  342.    wt: 1:   L Skills with take home value
  343.    wt: 1:   N Improving Marks on Tests and Finals
  344.    wt: 1:   J. More on written work and showing skill
  345.    wt: 1:   H Jigsaw puzzles and problem solving
  346.    wt: 1:   G. Written work formats for developing and showing skill
  347.    wt: 1:   E. When and how to correct errors
  348.    wt: 1:   Chapter 8 Skipped Topics and Why
  349.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  350.    wt: 1:   Chapter 6 More Algebra and Geometry
  351.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  352.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  353.    wt: 1:   7 Games and Activities for Instruction
  354.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  355.    wt: 1:   Helping the Blind in Logic and Mathematics
  356.    wt: 1:   More Algebra and Slope based Calculus Preview
  357.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  358.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  359.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  360.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  361.    wt: 1:   The Math Forum and Site Content

Extended Search

794 matches:

  1.    wt: 9:   1 More and Less Than for Counts and Measures
  2.    wt: 8:   3 Comparison of Negative Numbers
  3.    wt: 8:   2 More and Less Than with Unlike Signs
  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:   4 Greater More Less Than Signs in General
  13.    wt: 7:   1 Squares and Square Roots Introduction
  14.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  15.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  16.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  17.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  18.    wt: 7:   7 GCD and LCM from prime factorization
  19.    wt: 7:   4 LCM of 8 and 10 via Prime
  20.    wt: 7:   3 Counting with Tables and Trees II
  21.    wt: 7:   2 Counting with Tables and Trees I
  22.    wt: 7:   1 Counting and Counting Methods I
  23.    wt: 7:   10 dividing signed numbers
  24.    wt: 7:   9 subtracting signed numbers
  25.    wt: 7:   8 multiplying signed numbers
  26.    wt: 7:   7 negative and additive inverse
  27.    wt: 7:   6 adding signed numbers
  28.    wt: 7:   3 signed coordinates for maps and planes
  29.    wt: 7:   5 Reciprocals and Division for Fractions with Units
  30.    wt: 7:   2 Equality and Units
  31.    wt: 7:   1 Addition and Subtraction with Units
  32.    wt: 7:   B Fractions and Two Term Ratios
  33.    wt: 7:   A Similarities between Fractions and Two Term Ratios
  34.    wt: 7:   21 Reciprocals for Fractions and Wholes
  35.    wt: 7:   17 Efficient Ways to Add and Subtract
  36.    wt: 7:   15 Adding and Subtracting with Unlike Denominators
  37.    wt: 7:   14 Adding and Subtracting with Like Denominators
  38.    wt: 7:   10 Simplification of Fractions and Mixed Numerals
  39.    wt: 7:   6 Multiplication of Mixed Numbers
  40.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  41.    wt: 7:   17 Identify and Count Factors using Primes
  42.    wt: 7:   12 LCD GCD and LCM using Primes
  43.    wt: 7:   7 Calculator Usage Notes and Cautions
  44.    wt: 7:   6 Sieve of Eratosthenes and Square Rule
  45.    wt: 7:   5 Prime Factorization and a Square Rule
  46.    wt: 7:   3 video Primes and Composites from 9 times table
  47.    wt: 7:   2 Prime and Composites less than 16
  48.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  49.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  50.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  51.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  52.    wt: 7:   8 Review Lesson 1 2 4 and 6 All in One
  53.    wt: 7:   Quick history of numbers and algebra
  54.    wt: 6:   5 Square Roots with primes more still
  55.    wt: 6:   4 Square Roots with primes more
  56.    wt: 6:   3 Properties of Square Roots with example
  57.    wt: 6:   2 Square Roots with Prime
  58.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  59.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  60.    wt: 6:   13 GCD from given Prime Factorization
  61.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  62.    wt: 6:   8 GCD from Euclidean Algorithm
  63.    wt: 6:   6 GCD from Prime
  64.    wt: 6:   5 Common Divisors 60 45 via Prime
  65.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  66.    wt: 6:   2 Least Common Multiple LCM intro via list method
  67.    wt: 6:   1 Least Common Multiples LCM Introduction
  68.    wt: 6:   12 GCD 2700 288 via Prime
  69.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  70.    wt: 6:   4 Counting with Trees Product Rule Take I
  71.    wt: 6:   4 signed coordinates for regions in space
  72.    wt: 6:   7 Converting or Changing Units
  73.    wt: 6:   6 Simplification of Fractions with Units
  74.    wt: 6:   4 Fractions with Units
  75.    wt: 6:   D Three Term Ratios
  76.    wt: 6:   22 Complex Compound Fractions
  77.    wt: 6:   21 Working With Signs
  78.    wt: 6:   20 Dividing Fractions the Why
  79.    wt: 6:   19 Dividing Fractions How TO
  80.    wt: 6:   18 Efficient Ways to Multiply
  81.    wt: 6:   16 Addition Subtraction Comparision Compared
  82.    wt: 6:   13 Fraction Comparison Algebraic View
  83.    wt: 6:   12 Fraction Comparison
  84.    wt: 6:   11 Simplification an Algebraic View
  85.    wt: 6:   8 Numerals Fractionals Quantals Take II
  86.    wt: 6:   7 Numerals Fractionals Quantals
  87.    wt: 6:   6 Multiplication Algebraically Take II
  88.    wt: 6:   5 Equivalent Fractions
  89.    wt: 6:   4 Fraction Multiplication
  90.    wt: 6:   3 Unit fraction of a fraction
  91.    wt: 6:   2 Unit Fraction Multiplication
  92.    wt: 6:   1 What is a fraction Take II
  93.    wt: 6:   1 What is a fraction
  94.    wt: 6:   Fraction Operations by Raising Terms A Simple Innovation
  95.    wt: 6:   11 Adding Integers Formulas and Examples
  96.    wt: 6:   8 Multiplication by Signed Numbers Integers
  97.    wt: 6:   6 Multiplication by Natural Numbers
  98.    wt: 6:   5 Zero Movement and Additive Inverses
  99.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  100.    wt: 6:   26 Divisibility by 2 3 5 Example
  101.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  102.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  103.    wt: 6:   23 Remainder Arithmetic Modulo 2
  104.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  105.    wt: 6:   21 Remainder Arithmetic Modulo 3
  106.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  107.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  108.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  109.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  110.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  111.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  112.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  113.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  114.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  115.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  116.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  117.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  118.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  119.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  120.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  121.    wt: 6:   5 Remainder Arithmetic Modulo 5
  122.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  123.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  124.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  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:   Division with Counts and Length
  140.    wt: 6:   Long Division forwards and backwards Example 3
  141.    wt: 6:   Long Division forwards and backwards Example 2
  142.    wt: 6:   Long Division forwards and backwards Example 1
  143.    wt: 6:   10 Division by Five Long and Short Ways
  144.    wt: 6:   4 Two and Three Digit Multipliers
  145.    wt: 6:   3 More One Digit Multipliers
  146.    wt: 6:   2 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:   1 Place Value in Three Digit Whole Numbers
  167.    wt: 6:   Exact Arithmetic Wholes and Fractions
  168.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  169.    wt: 5:   arithmetic videos Real Player Format
  170.    wt: 5:   D Remainders Modulo 11 Pair Rule
  171.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  172.    wt: 5:   B Integer Long Division Multiple Choices
  173.    wt: 5:   A Associative Law Theorectical Note
  174.    wt: 5:   13 Subtraction with Additive Inverse
  175.    wt: 5:   12 Adding Integers More Examples
  176.    wt: 5:   10 Integer Multiplication Formulas
  177.    wt: 5:   9 Multiplying Integers
  178.    wt: 5:   7 Multiplication by Signs
  179.    wt: 5:   4 Adding Movements wiht opposite directions
  180.    wt: 5:   3 Adding Movements with same direction
  181.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  182.    wt: 5:   1 Integers as Coordinates
  183.    wt: 5:   Long Division Backwards more
  184.    wt: 5:   Long Division Backward
  185.    wt: 5:   12 Why Long Division Works Take III
  186.    wt: 5:   11 Another Single Digit Divisor Example
  187.    wt: 5:   9 Why Long Division Works Take II
  188.    wt: 5:   8 Correcting the Mistake
  189.    wt: 5:   7 Long Divison Mistake Catching
  190.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  191.    wt: 5:   5 Long Division Include Zeroes or not
  192.    wt: 5:   4 Division with 2 Digit Divsors
  193.    wt: 5:   3 Division Single Digit Divisor Example
  194.    wt: 5:   2 Division with Single Digit Divisors
  195.    wt: 5:   1 Divsion Physical Examples
  196.    wt: 5:   D Decimal Multiplication Methods Derived
  197.    wt: 5:   C Counting Areas with Powers of Ten
  198.    wt: 5:   B Powers of Ten
  199.    wt: 5:   A Elementary Basis for Multiplication Methods
  200.    wt: 5:   6 Multiplication Commutes Order Not Important
  201.    wt: 5:   5 Decimal Fraction Multiplication
  202.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  203.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  204.    wt: 5:   Video Power Notation in Decimal Expansion
  205.    wt: 5:   1 Why 3 times 5 gives 15
  206.    wt: 5:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  207.    wt: 5:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  208.    wt: 5:   5 More on Groups of 3 Place Value in Decimal Fractions
  209.    wt: 5:   4 Groups of 3 Place Value in Decimal Fractions
  210.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  211.    wt: 5:   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:   Vector and Complex Number Applet
  219.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  220.    wt: 4:   21 Logarithms Powers and Exponentials
  221.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  222.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  223.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  224.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  225.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  226.    wt: 3:   13 From one to one to many to one
  227.    wt: 3:   10 Exponential Growth and Decay Models
  228.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  229.    wt: 3:   9 Summary Degrees to Radians and back
  230.    wt: 3:   2 Radian Measure Numerical Value of one degree
  231.    wt: 3:   1 Degrees and Radians Introduction
  232.    wt: 3:   A Global Time and Navigation
  233.    wt: 3:   15 Dot and Cross Product
  234.    wt: 3:   13 Velocity Vectors in Physics
  235.    wt: 3:   11 Component Method
  236.    wt: 3:   8 Parallel Vectors
  237.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  238.    wt: 3:   6 Vectors with Coordinates
  239.    wt: 3:   3 Navigation with Arrows or Vectors
  240.    wt: 3:   Parallel Lines and Parallel Transversals
  241.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  242.    wt: 3:   Parallel Lines and Interior Angles
  243.    wt: 3:   14 cosine even and sine and tangent are odd
  244.    wt: 3:   9 Graphs of sine and cosine over one period
  245.    wt: 3:   20 N th Roots of Complex Numbers
  246.    wt: 3:   16 References and Originality Question
  247.    wt: 3:   13 Trig Formulas for dot and cross Products
  248.    wt: 3:   12 cis formulas for sine cosines and tangent
  249.    wt: 3:   11 sine and cosine double triple angle formulas
  250.    wt: 3:   9 The complex number valued trig function cis
  251.    wt: 3:   6 Field Properties of Complex Number
  252.    wt: 3:   2 Complex Numbers made easier we hope
  253.    wt: 3:   Appetizer A Complex Number Applet
  254.    wt: 3:   10 Midpoint of [a b] and [b a]
  255.    wt: 3:   7 Exercises to test skill and concept mastery
  256.    wt: 3:   1 Numerical view of lines and their equations
  257.    wt: 3:   What is and is not here
  258.    wt: 3:   7 Complex Numbers Appetizer
  259.    wt: 3:   6 Polar Multiplication and Rotation
  260.    wt: 3:   5 Cartesian Addition and Translation
  261.    wt: 3:   4 Polar Coordinates to and from
  262.    wt: 3:   PS H Distributive Law For Complex Numbers
  263.    wt: 3:   16 Angles Subtended By Chords and Diameters
  264.    wt: 3:   6 Ruler and compass Angle Bisection
  265.    wt: 3:   1 Initial Concepts and Terms
  266.    wt: 3:   3 Lengths and Areas on Maps and Plans
  267.    wt: 3:   13 Arrows and Vectors in a Plane
  268.    wt: 3:   11 Signed Number Addition and Addition Properties
  269.    wt: 3:   2 Combing Counts Addition Skills and Principles
  270.    wt: 3:   2 More and Less Than for Counts and Measures
  271.    wt: 3:   10 Real Number Lengths and Signs
  272.    wt: 3:   1 Whole and Natural Numbers
  273.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  274.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  275.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  276.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  277.    wt: 3:   I. Logic and language skills
  278.    wt: 3:   How to Build Skills and Confidence
  279.    wt: 3:   7 Games and Activities for Instruction
  280.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  281.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  282.    wt: 2:   Ramblings Extrinsic numbers theory
  283.    wt: 2:   5 logarithms and exponentials etc
  284.    wt: 2:   2 Reading and Writing Skills
  285.    wt: 2:   Ages 12 to 14 Skills with take home value
  286.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  287.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  288.    wt: 2:   26 Function definitions done and coming
  289.    wt: 2:   11 Growth and Decay in Biology
  290.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  291.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  292.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  293.    wt: 2:   16 cotangent function Definition Graph and Inverse
  294.    wt: 2:   15 cosecant function Definition Graph and Inverse
  295.    wt: 2:   14 secant function Definition Graph and Inverse
  296.    wt: 2:   13 cosecant function Definition Graph and Inverse
  297.    wt: 2:   8 Radian Measures of Common Angles
  298.    wt: 2:   7 Radian Measures in special Triangles
  299.    wt: 2:   6 Radian Measure to Degrees
  300.    wt: 2:   5 Degrees to Radian Measure
  301.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  302.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  303.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  304.    wt: 2:   12 From Applied To Pure Mathematics
  305.    wt: 2:   10 Parallelogram Addition Method
  306.    wt: 2:   9 Head to Tail Coordinate View
  307.    wt: 2:   5 Head To Tail Arrow Addition
  308.    wt: 2:   4 Resultant of a Sum of Movements
  309.    wt: 2:   2 Signed Coordinates
  310.    wt: 2:   1 Unsigned Coordinates
  311.    wt: 2:   4 graphing y=Asin(x c)
  312.    wt: 2:   3 graphing y=f(x c) plus K
  313.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  314.    wt: 2:   1 graphing y=f(x a)
  315.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  316.    wt: 2:   Triangle Angles Sum To 180 Degrees
  317.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  318.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  319.    wt: 2:   Straight Lines ASA Intersection Study More
  320.    wt: 2:   Straight Lines ASA Intersection Study
  321.    wt: 2:   Straight Lines Instersection Solving Equations
  322.    wt: 2:   Straight Lines Intersection of
  323.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  324.    wt: 2:   C Straight Lines Slope from Coordinates
  325.    wt: 2:   B Straight Line Slope Scaling Properties More
  326.    wt: 2:   A Straight Line Slope Scaling Properties
  327.    wt: 2:   14 Straight Lines Equations General Case
  328.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  329.    wt: 2:   12 Straight Lines Graphing mx plus b
  330.    wt: 2:   11 Straight Lines Graphing y=mx
  331.    wt: 2:   10 Straight Lines through Origin Equations More
  332.    wt: 2:   9 Straight Lines through Origin Equations
  333.    wt: 2:   8 Straight Lines Equation for vertical
  334.    wt: 2:   7 Tangent Function is odd on this domain
  335.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  336.    wt: 2:   5 Tangent Function Graph
  337.    wt: 2:   4 Tangent Function Properties
  338.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  339.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  340.    wt: 2:   1 Straight Lines Slope Concept
  341.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  342.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  343.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  344.    wt: 2:   29 secant cosecant and cotangent for acute angles
  345.    wt: 2:   27 Logarithmic use of products of sines and cosines
  346.    wt: 2:   26 Formulas for products of sines and cosines
  347.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  348.    wt: 2:   21 sine and cosine Half Angle Formulas
  349.    wt: 2:   20 sine and cosine Double Angle Formulas
  350.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  351.    wt: 2:   17E Trig Formulas for dot and cross Products
  352.    wt: 2:   17D cis formulas for sine cosines and tangent
  353.    wt: 2:   17C sine and cosine double triple angle formulas
  354.    wt: 2:   17A The complex number valued trig function cis
  355.    wt: 2:   12 Graph of tangent function for one period
  356.    wt: 2:   10 Graphs of sines and cosines many periods
  357.    wt: 2:   7 period of sine and cosine
  358.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  359.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  360.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  361.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  362.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  363.    wt: 2:   19 N th Roots of Unity
  364.    wt: 2:   18 Sixth Roots of Unity
  365.    wt: 2:   17 Cube Roots of unity
  366.    wt: 2:   15 Pythagorean Theorem Converse
  367.    wt: 2:   14 Law of cosines
  368.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  369.    wt: 2:   8 Unit Circle Development of Trigonometry
  370.    wt: 2:   7 Second Way to Calculate Products
  371.    wt: 2:   5 An Easy Proof of the Distributive Law
  372.    wt: 2:   4 Multiplication Properties
  373.    wt: 2:   3 Addition Properties
  374.    wt: 2:   1 Rectangular Polar Coordinates Review
  375.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  376.    wt: 2:   3 Trigonometric Ratios sine and cosine
  377.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  378.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  379.    wt: 2:   8 Similarity of Triangles and Polygons
  380.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  381.    wt: 2:   Four Simple Exercises
  382.    wt: 2:   12 Links Lessons elsewhere
  383.    wt: 2:   11 A Partial Summary
  384.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  385.    wt: 2:   8 Mid Point Formula
  386.    wt: 2:   6 Intersection of lines by solving linear systems
  387.    wt: 2:   5 Algebraic View of Slopes
  388.    wt: 2:   4 Equations for lines three forms
  389.    wt: 2:   3 Slope product for perpendicular lines
  390.    wt: 2:   2 point slope equation for a line
  391.    wt: 2:   13 Pythagorean spatial distance formulas
  392.    wt: 2:   12 Spatial Coordinates
  393.    wt: 2:   11 Triangle Inequality
  394.    wt: 2:   10 Pythagorean plane distance formula
  395.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  396.    wt: 2:   8 Distance Between Points on a Line
  397.    wt: 2:   3 Rectangular Coordinates Review
  398.    wt: 2:   2 Cartesian Coordinates with signs
  399.    wt: 2:   1 Cartesian Coordinates sans signs
  400.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  401.    wt: 2:   PS G Rotation Distributes over Addition
  402.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  403.    wt: 2:   PS E Multiplication with Polar Coordinates
  404.    wt: 2:   PS D Addition with Cartesian Coordinates
  405.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  406.    wt: 2:   PS B Parallelogram Construction Methods
  407.    wt: 2:   PS A Kite Construction Methods
  408.    wt: 2:   21 Parallelograms
  409.    wt: 2:   19 Right Triangle Similarity
  410.    wt: 2:   18 Triangle Similarity Take 1
  411.    wt: 2:   17 Right Bisectors of Triangle Sides
  412.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  413.    wt: 2:   14 Parallel Lines Postulate
  414.    wt: 2:   13 Angle Side Angle Failure
  415.    wt: 2:   12 Side Angle Side Failure
  416.    wt: 2:   11 Triangle Construction Fails
  417.    wt: 2:   10 Dropping a perpendicular to line
  418.    wt: 2:   9 Construction of a right bisector
  419.    wt: 2:   8 Isoceles Triangles
  420.    wt: 2:   7 Angle Side Angle
  421.    wt: 2:   5 Side Angle Side
  422.    wt: 2:   4 Side Side Side
  423.    wt: 2:   3 Isometry of Triangles Congruence
  424.    wt: 2:   2 Correspondence between Triangles
  425.    wt: 2:   Short Course on Euclidean Geometry
  426.    wt: 2:   musings do not puiblish real numbers
  427.    wt: 2:   A Modular and Remainder Arithmetic
  428.    wt: 2:   A Signed Number Arithmetic Review
  429.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  430.    wt: 2:   22 Multiplication of Signed Numbers
  431.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  432.    wt: 2:   19 Signed Multiples of Vectors
  433.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  434.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  435.    wt: 2:   12 Real Numbers Line Signed Coordinates
  436.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  437.    wt: 2:   8 Division and Mulplication of Compound Fractions
  438.    wt: 2:   B Decimal Comparison and Subtraction
  439.    wt: 2:   5 Distributive Law for Whole Numbers
  440.    wt: 2:   3 Multiplicative Counting Skills Principles
  441.    wt: 2:   1 The Counting Origins of Numbers
  442.    wt: 2:   4 Rates Ratios and Proporitionality
  443.    wt: 2:   6 Equations and Systems Equivalent or Implied
  444.    wt: 2:   4 Subtraction and Division Axioms
  445.    wt: 2:   2 Addition and Multiplication Axioms
  446.    wt: 2:   4 Comparison of Negative Numbers
  447.    wt: 2:   3 More and Less Than with Unlike Signs
  448.    wt: 2:   1 Real Numbers Comparison
  449.    wt: 2:   16 Real Numbers Comparison
  450.    wt: 2:   15 Real Number Division
  451.    wt: 2:   14 Real Number Multiplication
  452.    wt: 2:   13 Real Number Subtraction
  453.    wt: 2:   12 Real Number Additive Inverses or Negatives
  454.    wt: 2:   11 Real Number Addition
  455.    wt: 2:   8 Coordinates for Maps and Planes
  456.    wt: 2:   7 Real Numbers as Line Cordinates
  457.    wt: 2:   6 Unsigned Real Numbers
  458.    wt: 2:   5 Rational Numbers More
  459.    wt: 2:   4 Rational Numbers
  460.    wt: 2:   3 Geometric Formulas and Function Notation
  461.    wt: 2:   1 Formulas Dependence and Function Notation
  462.    wt: 2:   10 One Example
  463.    wt: 2:   8 One Example
  464.    wt: 2:   5 Talking about Numbers and Quantities
  465.    wt: 2:   4 A Brief Story of numbers and algebra
  466.    wt: 2:   016 Numbering Occidental Calendar Days
  467.    wt: 2:   015 School and work day counting tables
  468.    wt: 2:   011 Division of Time Intervals By Numbers
  469.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  470.    wt: 2:   4 Mixing and Changing Units of Time
  471.    wt: 2:   3 Units and Lengths of Time
  472.    wt: 2:   2 Time and Date Matters in School
  473.    wt: 2:   1 Intro of Kids To Time Date Skills
  474.    wt: 2:   Example 2 volume of a cone
  475.    wt: 2:   Example 1. Area Between x and x squared
  476.    wt: 2:   38 Formulas and derivatives for powers and roots
  477.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  478.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  479.    wt: 2:   10 Three one sided limits with infinite values
  480.    wt: 2:   9 Limits Continuity and Composition
  481.    wt: 2:   5 Jumps and absence of unlimited error control
  482.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  483.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  484.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  485.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  486.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  487.    wt: 2:   Appendix E. How To Study Mathematics and Why
  488.    wt: 2:   Appendix D. What to do in School and Why
  489.    wt: 2:   Chapter 31 Direct and Indirect Reason
  490.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  491.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  492.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  493.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  494.    wt: 2:   Chapter 20. Degrees and Radians
  495.    wt: 2:   Chapter 19. Functions and Sets
  496.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  497.    wt: 2:   Chapter 12. Shorthand Usage Guide
  498.    wt: 2:   Chapter 11. Why Shorthand
  499.    wt: 2:   Chapter 10 Describing and Changing Calculations
  500.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  501.    wt: 2:   Chapter 8 Three Skills For Algebra
  502.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  503.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  504.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  505.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  506.    wt: 2:   R Why Learn Mathematics Skills
  507.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  508.    wt: 2:   O On Learning Mathematics and Science
  509.    wt: 2:   L Skills with take home value
  510.    wt: 2:   N Improving Marks on Tests and Finals
  511.    wt: 2:   J. More on written work and showing skill
  512.    wt: 2:   H Jigsaw puzzles and problem solving
  513.    wt: 2:   G. Written work formats for developing and showing skill
  514.    wt: 2:   E. When and how to correct errors
  515.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  516.    wt: 1:   Appendix 1 primary and preschool mathematic
  517.    wt: 1:   G LAMP Introduction Problem Solving Skills
  518.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  519.    wt: 1:   Skills Chapter 5 Calculus
  520.    wt: 1:   Skills Chapter 4 Logic
  521.    wt: 1:   Skills Chapter 3 Algebra
  522.    wt: 1:   Skills Chapter 2 Geometry
  523.    wt: 1:   Skills Chapter 1 Arithmetic
  524.    wt: 1:   Skills Chapter 0 Introduction
  525.    wt: 1:   7 logic review and decimals an odd combination
  526.    wt: 1:   2 arithmetic with signed numbers
  527.    wt: 1:   1 arithmetic with unsigned numbers
  528.    wt: 1:   key notes and themes
  529.    wt: 1:   what should be learnt and When
  530.    wt: 1:   Secondary One Mathematics
  531.    wt: 1:   standards for course material
  532.    wt: 1:   Theory of Knowledge
  533.    wt: 1:   Education in mathematics science and technology
  534.    wt: 1:   Motivation and Context Problem
  535.    wt: 1:   fairness and inductive principles for instruction
  536.    wt: 1:   Home Tutoring and Home Schooling
  537.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  538.    wt: 1:   24 Standards For Skill Develoment Take II
  539.    wt: 1:   24 Standards For Skill Develoment
  540.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  541.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  542.    wt: 1:   17 Math Booklets for children and young teenagers
  543.    wt: 1:   14 Multiplication and Times Tables
  544.    wt: 1:   13 Addition and Addition Tables
  545.    wt: 1:   12 Goals and Objectives For Mathematics
  546.    wt: 1:   11 Help and Defend Your Child or Teens Education
  547.    wt: 1:   5 Patience Please for Yourself and Your Charges
  548.    wt: 1:   4 Learning Takes Time and Effort
  549.    wt: 1:   1 Speaking Skills
  550.    wt: 1:   Ages 12 to 14 Geometry
  551.    wt: 1:   Ages 12 to 14 Arithmetic
  552.    wt: 1:   Ages 10 to 12 Geometry
  553.    wt: 1:   Ages 10 to 12 Arithmetic
  554.    wt: 1:   Ages 9 to 10
  555.    wt: 1:   Ages 8 to 9
  556.    wt: 1:   Ages 7 to 8
  557.    wt: 1:   Ages 6 to 7
  558.    wt: 1:   Ages 4 plus to 5 plus
  559.    wt: 1:   Ages 3 plus to 4 plus
  560.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  561.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  562.    wt: 1:   19 Horizontal line rule and method
  563.    wt: 1:   18 Vertical Line Rule and Method
  564.    wt: 1:   17 Function maxima minima and their location
  565.    wt: 1:   11 Function Domain Range Source and Targets
  566.    wt: 1:   9 Set theory term relation possible origins
  567.    wt: 1:   8 Set view of relations and functions
  568.    wt: 1:   6 Set Existence Formation and Notation
  569.    wt: 1:   4 Function notation in and beyond mathematics
  570.    wt: 1:   9 quadratics physical and further context
  571.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  572.    wt: 1:   5 Natural Logarithm Calculator Exercises
  573.    wt: 1:   2 Square Root Simplification a prequel
  574.    wt: 1:   1 Calculator Starter Exercises
  575.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  576.    wt: 1:   12 motivation for term arctan
  577.    wt: 1:   11 arctan left inverse of tangent Graph
  578.    wt: 1:   10 arctan left inverse of tangent Definition
  579.    wt: 1:   9 motivation for name arcsin
  580.    wt: 1:   8 arcsin left inverse of sine Graph
  581.    wt: 1:   7 arcsin left inverse of sine Definition
  582.    wt: 1:   6 Graph of arccos function
  583.    wt: 1:   5 Swapping Coordinates is a reflection
  584.    wt: 1:   4 possible motivation for term arccos
  585.    wt: 1:   3 Left Inverse of cosine arccos definition
  586.    wt: 1:   2 cosine function more properties
  587.    wt: 1:   1 cosine function properties
  588.    wt: 1:   17 tangent function angle sum formulas
  589.    wt: 1:   32 seven rows of pascals triangle
  590.    wt: 1:   31 basic secant cosecant cotangent trig identities
  591.    wt: 1:   30 unit circle calculation of six trigonometric functions
  592.    wt: 1:   28 Expressing products of sines cosines as sums
  593.    wt: 1:   25 tangent double angle formula Slope connection
  594.    wt: 1:   24 tangent Angle Difference Formula
  595.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  596.    wt: 1:   18 sum of sinusoidal waves as a single wave
  597.    wt: 1:   17G Pythagorean Theorem Converse
  598.    wt: 1:   17F Law of cosines
  599.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  600.    wt: 1:   16 Right Triangle Complementary Angle Relations
  601.    wt: 1:   15 sine cosine Complementary Angle Relations
  602.    wt: 1:   13 Graph of tangent function many periods
  603.    wt: 1:   11 tangent function undefined when terminal side vertical
  604.    wt: 1:   8 period of tangent function
  605.    wt: 1:   2 Quadrant I reference Angles
  606.    wt: 1:   1 Unit Points Reflections Rotations
  607.    wt: 1:   Unit Circle Development of Trigonometry
  608.    wt: 1:   8 Triangles Cascade Problem Solving
  609.    wt: 1:   7 Trignometric Ratios Unit Circle
  610.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  611.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  612.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  613.    wt: 1:   1 Angle Measurement with Degrees
  614.    wt: 1:   Why Trigonometry the whyslopes view
  615.    wt: 1:   12 Triangles Similarity More Problems
  616.    wt: 1:   11 Triangle Similarity Missing Side Problem
  617.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  618.    wt: 1:   9 Similarity of Triangles Usual Criteria
  619.    wt: 1:   7 Translations Rotations Reflections Dilatations
  620.    wt: 1:   6 Geometric Diagrams in Class
  621.    wt: 1:   4 Similarity Definition with Coordinate
  622.    wt: 1:   3 Similarity by Design with coordinates
  623.    wt: 1:   2 Similarity By Design
  624.    wt: 1:   1 Early Concept of Like or Similar Shapes
  625.    wt: 1:   A Measurement with Ruler Proper Use
  626.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  627.    wt: 1:   6 Figuring with Maps Not to Scale
  628.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  629.    wt: 1:   4 Angles on Maps Plans drawn to scale
  630.    wt: 1:   2 Measuring Area Directly
  631.    wt: 1:   1 Length Measurement
  632.    wt: 1:   About Folder Contents
  633.    wt: 1:   26 More Less Greater Than Comparison
  634.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  635.    wt: 1:   23 Distributive Law Two Derivations
  636.    wt: 1:   21 Addition of Multiples of a Single Vector
  637.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  638.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  639.    wt: 1:   15 Head to Tails in place Addition Associative
  640.    wt: 1:   9 Division with Digits after Decimal Point
  641.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  642.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  643.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  644.    wt: 1:   4 Location of Point in Decimal Addition
  645.    wt: 1:   3 Location of Point in Decimal Multiplication
  646.    wt: 1:   2 Counting Digits in Decimal Multiplication
  647.    wt: 1:   1 Fractions with Finite Decimal Expansions
  648.    wt: 1:   E Long Division Methods more
  649.    wt: 1:   D Long Division Methods
  650.    wt: 1:   C Three Decimal Subtraction Methods
  651.    wt: 1:   A Decimal Addition Columm Methods
  652.    wt: 1:   8 Column Multiplication Methods in General
  653.    wt: 1:   7 Decimals Multiplication Methods Examples
  654.    wt: 1:   6 Column Methods for Decimal Multiplication
  655.    wt: 1:   4 Commutative Law Groups Counting Form
  656.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  657.    wt: 1:   5 Proportionality in Equivalent Fractions
  658.    wt: 1:   3 Proportionality Examples
  659.    wt: 1:   2 Algebraic View
  660.    wt: 1:   1 What is Proportionality
  661.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  662.    wt: 1:   6 Compound Interest Forward and Backwards
  663.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  664.    wt: 1:   5 Equality in Algebra
  665.    wt: 1:   3 Product Axioms Two Forms
  666.    wt: 1:   1 Equivalent Computation Rules
  667.    wt: 1:   5 Greater More Less Than Signs in General
  668.    wt: 1:   9 Coordinates for Regions in Space
  669.    wt: 1:   3 Fractions
  670.    wt: 1:   2 Integers
  671.    wt: 1:   5 Independent versus Dependent Variables
  672.    wt: 1:   4 Changing Letters
  673.    wt: 1:   2 Computation Rules Evaluation
  674.    wt: 1:   3 GE III Equation Addition and Multiplication
  675.    wt: 1:   2 Essentially one exercises three with solution
  676.    wt: 1:   1 Essentially One Unknown
  677.    wt: 1:   6 Algebraic Solution Example
  678.    wt: 1:   5 Algebraic Solutions Introduction
  679.    wt: 1:   4 Four Examples Fractional Coefficients
  680.    wt: 1:   3 Four Examples
  681.    wt: 1:   2 Three Examples
  682.    wt: 1:   1 Proper Equal Sign Usage
  683.    wt: 1:   Skill Development Notes
  684.    wt: 1:   9 Three Examples
  685.    wt: 1:   7 Two Examples
  686.    wt: 1:   6 Three Examples
  687.    wt: 1:   5 Three Examples
  688.    wt: 1:   4 Two Examples
  689.    wt: 1:   3 Two Examples
  690.    wt: 1:   2 Three Examples
  691.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  692.    wt: 1:   9 Volume of Cone
  693.    wt: 1:   1 Written work formats for developing and showing skill
  694.    wt: 1:   9 Sets in Probability and Statistics
  695.    wt: 1:   8 Sets of Numbers
  696.    wt: 1:   1 Three Skills For Algebra
  697.    wt: 1:   014 Counting Days with Calendars
  698.    wt: 1:   013 Travel Time Tables
  699.    wt: 1:   012 Division of Time Intervals by Time Intervals
  700.    wt: 1:   010 Repeated Addition of Time Intervals
  701.    wt: 1:   8 Addition of Time Intervals via subtotaling
  702.    wt: 1:   7 Addition of Time Intervals
  703.    wt: 1:   6 How long is a million seconds
  704.    wt: 1:   5 Conversion Arithmetic
  705.    wt: 1:   Example 1 volume of a pyramid
  706.    wt: 1:   Volume of Solid by Cross Sections Lesson
  707.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  708.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  709.    wt: 1:   Example 4 with x function of y
  710.    wt: 1:   Example 3
  711.    wt: 1:   Example 2
  712.    wt: 1:   Example 1
  713.    wt: 1:   Area Between Curves Lesson Take 2
  714.    wt: 1:   Area Between Curves Lesson Take 1
  715.    wt: 1:   Summary
  716.    wt: 1:   34 Derivative of exponential function
  717.    wt: 1:   17 Derivatives of quotients of sine and cosine
  718.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  719.    wt: 1:   15 sine and cosine derivatives 3rd step
  720.    wt: 1:   14 sine and cosine derivatives 2nd step
  721.    wt: 1:   13 sine and cosine derivatives 1st step
  722.    wt: 1:   11 Limits at infinity Three Examples
  723.    wt: 1:   8 Four Animated Examples
  724.    wt: 1:   7 Evaluation by immediate or delayed substitution
  725.    wt: 1:   6 Continuity at a point
  726.    wt: 1:   4 Numerical properties
  727.    wt: 1:   3 Decimal insights for limits continuity convergence
  728.    wt: 1:   2 Algebraic codification
  729.    wt: 1:   1 Numerical introduction
  730.    wt: 1:   D2 Limits of Monotone Sequences
  731.    wt: 1:   PostScript For and Against Decimal Perspectives
  732.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  733.    wt: 1:   Chapter 22 Complex Numbers
  734.    wt: 1:   Chapter 12. Units and Slopes
  735.    wt: 1:   Chapter 10 Slopes and Units
  736.    wt: 1:   Chapter 7 Slopes and Velocity
  737.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  738.    wt: 1:   Chapter 2. Slopes and Ski Trails
  739.    wt: 1:   Postscript More on Better Performance
  740.    wt: 1:   Postscript For Better Performance
  741.    wt: 1:   Appendix C. How to Read
  742.    wt: 1:   Appendix B. How To Learn
  743.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  744.    wt: 1:   Chapter 30 Truth Tables
  745.    wt: 1:   Chapter 28 Occurrence Tables
  746.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  747.    wt: 1:   Chapter 25. Mathematical Induction Examples
  748.    wt: 1:   Chapter 23. Notation For Sums
  749.    wt: 1:   Chapter 21. Third Reading Guide
  750.    wt: 1:   Chapter 18. Rules for Algebra
  751.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  752.    wt: 1:   Chapter 16. Painless Theorem Proving
  753.    wt: 1:   Chapter 15. Solving Linear Equations
  754.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  755.    wt: 1:   Chapter 13. Second Reading Guide
  756.    wt: 1:   Postscript What is a Variable
  757.    wt: 1:   Solutions For Arithmetic Exercises
  758.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  759.    wt: 1:   Chapter 6 Change of Language
  760.    wt: 1:   Chapter 4 Longer Chains of Reason
  761.    wt: 1:   Chapter 3 Chains of Reason
  762.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  763.    wt: 1:   Foreword
  764.    wt: 1:   Chapter 2 For and Against Mathematics
  765.    wt: 1:   Postscript B More on Story Telling and Reason
  766.    wt: 1:   Chapter 24 Direct and Indirect Reason
  767.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  768.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  769.    wt: 1:   Chapter 18 Sense and Knowledge
  770.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  771.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  772.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  773.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  774.    wt: 1:   S Adding words to algebra
  775.    wt: 1:   N Mathematics Prepare for College Studies
  776.    wt: 1:   M Words to extend arithmetic
  777.    wt: 1:   H more Routine to non routine problem solving
  778.    wt: 1:   F. The student teacher tutor feedback loop
  779.    wt: 1:   D. Check work a must with a caution
  780.    wt: 1:   C. Domino effect of being careful
  781.    wt: 1:   B. Domino effect of errors
  782.    wt: 1:   A. Skill has to be seen to believed
  783.    wt: 1:   Chapter 8 Skipped Topics and Why
  784.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  785.    wt: 1:   Chapter 6 More Algebra and Geometry
  786.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  787.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  788.    wt: 1:   Helping the Blind in Logic and Mathematics
  789.    wt: 1:   More Algebra and Slope based Calculus Preview
  790.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  791.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  792.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  793.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  794.    wt: 1:   The Math Forum and Site Content

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.

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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
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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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