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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54 matches:

  1.    wt: 6:   12 Webvideo Lessons on Area and Volume Calculation/
  2.    wt: 6:   13 Lessons on Limits and Continuity/
  3.    wt: 5:   5 Lessons on Integration/
  4.    wt: 5:   4 Lessons on Using Derivatives/
  5.    wt: 5:   38 Lessons on Calculating Derivatives/
  6.    wt: 4:   4 Computation Rules and Function Notation/
  7.    wt: 4:   70 Calculus Starter Lessons/
  8.    wt: 3:   A Origins of Counting and Figuring Methods/
  9.    wt: 3:   9 Proportionality Backwards and Forwards/
  10.    wt: 3:   7 Axioms Logic and Equivalent Equations/
  11.    wt: 3:   6 More Less Greater Than Inequalities and Comparison/
  12.    wt: 3:   Step 1 Stick diagram and fractions/
  13.    wt: 2:   B Real Numbers Extrinsic Development/
  14.    wt: 2:   10 Examples of Algebraic Reasoning/
  15.    wt: 2:   8 Unifying Theme For Algebra/
  16.    wt: 2:   5 Real Numbers/
  17.    wt: 2:   Step 4 Gaussian Elimination/
  18.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  19.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  20.    wt: 2:   3 Solving Linear Equations/
  21.    wt: 2:   2 Formula Forward Use Evaluation/
  22.    wt: 2:   1 Working With Sets/
  23.    wt: 2:   Algebra Starter Lessons/
  24.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  25.    wt: 2:   11 Squares and Square Roots/
  26.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  27.    wt: 2:   9 Combinatorics Trees Tables and Products/
  28.    wt: 2:   7 Arithmetic and Fractions with Units/
  29.    wt: 2:   6 Fractions and Ratios/
  30.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  31.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  32.    wt: 2:   A Decimal Counting and Adding Methods/
  33.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  34.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  35.    wt: 1:   12 Function Translating and Rescaling/
  36.    wt: 1:   11 Parallel Straight Lines and Transversals/
  37.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  38.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  39.    wt: 1:   4 Lines and Slopes Take 1/
  40.    wt: 1:   3 Cartesian and Polar Coordinates/
  41.    wt: 1:   8 Arithmetic with Signed Numbers/
  42.    wt: 1:   5 Integers/
  43.    wt: 1:   3 Prime Factorization Skills/
  44.    wt: 1:   D Decimal Long Division Methods/
  45.    wt: 1:   C Decimal Multiplication Methods/
  46.    wt: 1:   2 Arithmetic with Decimals/
  47.    wt: 1:   1 Decimal Place Value/
  48.    wt: 1:   Arithmetic and Number Theory Skills/
  49.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  50.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  51.    wt: 1:   Work and Study Tips/
  52.    wt: 1:   Resources and Reciprocal Links/
  53.    wt: 1:   Mathematics 506 Lessons/
  54.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

342 matches:

  1.    wt: 3:   38 Formulas and derivatives for powers and roots
  2.    wt: 3:   6 Power rule from product rule
  3.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  4.    wt: 3:   Chapter 7 Calculus Previews and Calculus Lightly
  5.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  6.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  7.    wt: 2:   19 Horizontal line rule and method
  8.    wt: 2:   18 Vertical Line Rule and Method
  9.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  10.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  11.    wt: 2:   14 cosine even and sine and tangent are odd
  12.    wt: 2:   21 Logarithms Powers and Exponentials
  13.    wt: 2:   6 Ruler and compass Angle Bisection
  14.    wt: 2:   3 Lengths and Areas on Maps and Plans
  15.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  16.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  17.    wt: 2:   2 More and Less Than for Counts and Measures
  18.    wt: 2:   1 More and Less Than for Counts and Measures
  19.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  20.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  21.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  22.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  23.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  24.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  25.    wt: 2:   5 Prime Factorization and a Square Rule
  26.    wt: 2:   6. Counting and adding units and mixed units
  27.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  28.    wt: 2:   21 Chain Rule for powers
  29.    wt: 2:   10 Power rule for negative integers
  30.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  31.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  32.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  33.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  34.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  35.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  36.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  37.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  38.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  39.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  40.    wt: 2:   Chapter 3 Algebra Starter Lessons
  41.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  42.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  43.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  44.    wt: 2:   More Algebra and Slope based Calculus Preview
  45.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  46.    wt: 1:   Appendix 1 primary and preschool mathematic
  47.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  48.    wt: 1:   Skills Chapter 5 Calculus
  49.    wt: 1:   7 logic review and decimals an odd combination
  50.    wt: 1:   5 logarithms and exponentials etc
  51.    wt: 1:   key notes and themes
  52.    wt: 1:   what should be learnt and When
  53.    wt: 1:   standards for course material
  54.    wt: 1:   Education in mathematics science and technology
  55.    wt: 1:   Motivation and Context Problem
  56.    wt: 1:   fairness and inductive principles for instruction
  57.    wt: 1:   4 Energy Power Heat09
  58.    wt: 1:   3 Energy Power Heat08
  59.    wt: 1:   2 Energy Power Heat07
  60.    wt: 1:   1 Energy Power Heat06
  61.    wt: 1:   E Energy Power05
  62.    wt: 1:   D Energy Power04
  63.    wt: 1:   C Energy Power03
  64.    wt: 1:   B Energy Power02
  65.    wt: 1:   A Energy Power01
  66.    wt: 1:   Home Tutoring and Home Schooling
  67.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  68.    wt: 1:   24 Standards For Skill Develoment Take II
  69.    wt: 1:   24 Standards For Skill Develoment
  70.    wt: 1:   17 Math Booklets for children and young teenagers
  71.    wt: 1:   14 Multiplication and Times Tables
  72.    wt: 1:   13 Addition and Addition Tables
  73.    wt: 1:   12 Goals and Objectives For Mathematics
  74.    wt: 1:   11 Help and Defend Your Child or Teens Education
  75.    wt: 1:   5 Patience Please for Yourself and Your Charges
  76.    wt: 1:   4 Learning Takes Time and Effort
  77.    wt: 1:   2 Reading and Writing Skills
  78.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  79.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  80.    wt: 1:   26 Function definitions done and coming
  81.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  82.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  83.    wt: 1:   17 Function maxima minima and their location
  84.    wt: 1:   11 Function Domain Range Source and Targets
  85.    wt: 1:   8 Set view of relations and functions
  86.    wt: 1:   6 Set Existence Formation and Notation
  87.    wt: 1:   4 Function notation in and beyond mathematics
  88.    wt: 1:   9 quadratics physical and further context
  89.    wt: 1:   11 Growth and Decay in Biology
  90.    wt: 1:   10 Exponential Growth and Decay Models
  91.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  92.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  93.    wt: 1:   1 Calculator Starter Exercises
  94.    wt: 1:   7 Links Lessons Elsewhere
  95.    wt: 1:   16 cotangent function Definition Graph and Inverse
  96.    wt: 1:   15 cosecant function Definition Graph and Inverse
  97.    wt: 1:   14 secant function Definition Graph and Inverse
  98.    wt: 1:   13 cosecant function Definition Graph and Inverse
  99.    wt: 1:   9 Summary Degrees to Radians and back
  100.    wt: 1:   1 Degrees and Radians Introduction
  101.    wt: 1:   A Global Time and Navigation
  102.    wt: 1:   15 Dot and Cross Product
  103.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  104.    wt: 1:   Vector and Complex Number Applet
  105.    wt: 1:   Parallel Lines and Parallel Transversals
  106.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  107.    wt: 1:   Parallel Lines and Interior Angles
  108.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  109.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  110.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  111.    wt: 1:   29 secant cosecant and cotangent for acute angles
  112.    wt: 1:   28 Expressing products of sines cosines as sums
  113.    wt: 1:   27 Logarithmic use of products of sines and cosines
  114.    wt: 1:   26 Formulas for products of sines and cosines
  115.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  116.    wt: 1:   21 sine and cosine Half Angle Formulas
  117.    wt: 1:   20 sine and cosine Double Angle Formulas
  118.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  119.    wt: 1:   17E Trig Formulas for dot and cross Products
  120.    wt: 1:   17D cis formulas for sine cosines and tangent
  121.    wt: 1:   17C sine and cosine double triple angle formulas
  122.    wt: 1:   10 Graphs of sines and cosines many periods
  123.    wt: 1:   9 Graphs of sine and cosine over one period
  124.    wt: 1:   7 period of sine and cosine
  125.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  126.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  127.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  128.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  129.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  130.    wt: 1:   16 References and Originality Question
  131.    wt: 1:   13 Trig Formulas for dot and cross Products
  132.    wt: 1:   12 cis formulas for sine cosines and tangent
  133.    wt: 1:   11 sine and cosine double triple angle formulas
  134.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  135.    wt: 1:   3 Trigonometric Ratios sine and cosine
  136.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  137.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  138.    wt: 1:   8 Similarity of Triangles and Polygons
  139.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  140.    wt: 1:   12 Links Lessons elsewhere
  141.    wt: 1:   10 Midpoint of [a b] and [b a]
  142.    wt: 1:   7 Exercises to test skill and concept mastery
  143.    wt: 1:   1 Numerical view of lines and their equations
  144.    wt: 1:   What is and is not here
  145.    wt: 1:   6 Polar Multiplication and Rotation
  146.    wt: 1:   5 Cartesian Addition and Translation
  147.    wt: 1:   4 Polar Coordinates to and from
  148.    wt: 1:   16 Angles Subtended By Chords and Diameters
  149.    wt: 1:   1 Initial Concepts and Terms
  150.    wt: 1:   A Measurement with Ruler Proper Use
  151.    wt: 1:   A Modular and Remainder Arithmetic
  152.    wt: 1:   13 Arrows and Vectors in a Plane
  153.    wt: 1:   11 Signed Number Addition and Addition Properties
  154.    wt: 1:   8 Division and Mulplication of Compound Fractions
  155.    wt: 1:   B Decimal Comparison and Subtraction
  156.    wt: 1:   2 Combing Counts Addition Skills and Principles
  157.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  158.    wt: 1:   4 Rates Ratios and Proporitionality
  159.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  160.    wt: 1:   6 Compound Interest Forward and Backwards
  161.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  162.    wt: 1:   6 Equations and Systems Equivalent or Implied
  163.    wt: 1:   4 Subtraction and Division Axioms
  164.    wt: 1:   2 Addition and Multiplication Axioms
  165.    wt: 1:   1 Equivalent Computation Rules
  166.    wt: 1:   3 More and Less Than with Unlike Signs
  167.    wt: 1:   10 Real Number Lengths and Signs
  168.    wt: 1:   8 Coordinates for Maps and Planes
  169.    wt: 1:   1 Whole and Natural Numbers
  170.    wt: 1:   3 Geometric Formulas and Function Notation
  171.    wt: 1:   2 Computation Rules Evaluation
  172.    wt: 1:   1 Formulas Dependence and Function Notation
  173.    wt: 1:   3 GE III Equation Addition and Multiplication
  174.    wt: 1:   1 Written work formats for developing and showing skill
  175.    wt: 1:   9 Sets in Probability and Statistics
  176.    wt: 1:   6 Power Set Notation
  177.    wt: 1:   5 Talking about Numbers and Quantities
  178.    wt: 1:   4 A Brief Story of numbers and algebra
  179.    wt: 1:   2 More and Less Than with Unlike Signs
  180.    wt: 1:   1 Squares and Square Roots Introduction
  181.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  182.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  183.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  184.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  185.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  186.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  187.    wt: 1:   7 GCD and LCM from prime factorization
  188.    wt: 1:   4 LCM of 8 and 10 via Prime
  189.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  190.    wt: 1:   4 Counting with Trees Product Rule Take I
  191.    wt: 1:   3 Counting with Tables and Trees II
  192.    wt: 1:   2 Counting with Tables and Trees I
  193.    wt: 1:   1 Counting and Counting Methods I
  194.    wt: 1:   11 What are real lengths and numbers
  195.    wt: 1:   7 negative and additive inverse
  196.    wt: 1:   5 lengths and signs of numbers
  197.    wt: 1:   3 signed coordinates for maps and planes
  198.    wt: 1:   2 signed and unsigned numbers as coordinates
  199.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  200.    wt: 1:   3 Multiplying Units and Numbers
  201.    wt: 1:   2 Equality and Units
  202.    wt: 1:   1 Addition and Subtraction with Units
  203.    wt: 1:   B Fractions and Two Term Ratios
  204.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  205.    wt: 1:   21 Reciprocals for Fractions and Wholes
  206.    wt: 1:   17 Efficient Ways to Add and Subtract
  207.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  208.    wt: 1:   14 Adding and Subtracting with Like Denominators
  209.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  210.    wt: 1:   9 Improper Fractions and Mixed Numbers
  211.    wt: 1:   D Remainders Modulo 11 Pair Rule
  212.    wt: 1:   11 Adding Integers Formulas and Examples
  213.    wt: 1:   5 Zero Movement and Additive Inverses
  214.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  215.    wt: 1:   17 Identify and Count Factors using Primes
  216.    wt: 1:   12 LCD GCD and LCM using Primes
  217.    wt: 1:   11 Efficient Square Rule Use
  218.    wt: 1:   7 Calculator Usage Notes and Cautions
  219.    wt: 1:   3 video Primes and Composites from 9 times table
  220.    wt: 1:   2 Prime and Composites less than 16
  221.    wt: 1:   Division with Counts and Length
  222.    wt: 1:   Long Division forwards and backwards Example 3
  223.    wt: 1:   Long Division forwards and backwards Example 2
  224.    wt: 1:   Long Division forwards and backwards Example 1
  225.    wt: 1:   10 Division by Five Long and Short Ways
  226.    wt: 1:   C Counting Areas with Powers of Ten
  227.    wt: 1:   B Powers of Ten
  228.    wt: 1:   4 Two and Three Digit Multipliers
  229.    wt: 1:   Video Power Notation in Decimal Expansion
  230.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  231.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  232.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  233.    wt: 1:   8 What skills and work habits to require
  234.    wt: 1:   11 Place Value SI Standard International way
  235.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  236.    wt: 1:   Quick history of numbers and algebra
  237.    wt: 1:   Exact Arithmetic Wholes and Fractions
  238.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  239.    wt: 1:   015 School and work day counting tables
  240.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  241.    wt: 1:   4 Mixing and Changing Units of Time
  242.    wt: 1:   3 Units and Lengths of Time
  243.    wt: 1:   2 Time and Date Matters in School
  244.    wt: 1:   Example 1. Area Between x and x squared
  245.    wt: 1:   3 Two Chain Rule Method Exercises
  246.    wt: 1:   1 Chain Rule in Reverse Integration Method
  247.    wt: 1:   A Related lessons in Volume 3
  248.    wt: 1:   A Chain Rule Real Player video examples
  249.    wt: 1:   33 Chain Rule Real Player video examples
  250.    wt: 1:   30Chain Rule A Proof
  251.    wt: 1:   29 Chain Rule Optional Reading
  252.    wt: 1:   28 Chain Rule Preparation for a Proof
  253.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  254.    wt: 1:   26 Chain Rule Recognising outer inner functions
  255.    wt: 1:   25 Chain Rule Animated Examples Continued
  256.    wt: 1:   24 Chain Rule Animated Examples
  257.    wt: 1:   23 Chain Rule in general
  258.    wt: 1:   22 Chain Rule for polynomials
  259.    wt: 1:   20 Chain Rule for Pulley Systems
  260.    wt: 1:   19 Chain Rule for linear functions
  261.    wt: 1:   18 Chain Rule Introduction
  262.    wt: 1:   17 Derivatives of quotients of sine and cosine
  263.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  264.    wt: 1:   15 sine and cosine derivatives 3rd step
  265.    wt: 1:   14 sine and cosine derivatives 2nd step
  266.    wt: 1:   13 sine and cosine derivatives 1st step
  267.    wt: 1:   12 Quotient rule examples
  268.    wt: 1:   11 Quotient rule
  269.    wt: 1:   9 Reciprocal rule
  270.    wt: 1:   8 Differentiation of polynomials
  271.    wt: 1:   7 Animated Differentiation Examples
  272.    wt: 1:   5 Product Rule
  273.    wt: 1:   4 Sum Rule
  274.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  275.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  276.    wt: 1:   9 Limits Continuity and Composition
  277.    wt: 1:   5 Jumps and absence of unlimited error control
  278.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  279.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  280.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  281.    wt: 1:   PostScript For and Against Decimal Perspectives
  282.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  283.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  284.    wt: 1:   Chapter 12. Units and Slopes
  285.    wt: 1:   Chapter 10 Slopes and Units
  286.    wt: 1:   Chapter 9 About First Courses in Calculus
  287.    wt: 1:   Chapter 7 Slopes and Velocity
  288.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  289.    wt: 1:   Chapter 2. Slopes and Ski Trails
  290.    wt: 1:   Fall 1983 Calculus Appetizer
  291.    wt: 1:   Appendix E. How To Study Mathematics and Why
  292.    wt: 1:   Appendix D. What to do in School and Why
  293.    wt: 1:   Chapter 31 Direct and Indirect Reason
  294.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  295.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  296.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  297.    wt: 1:   Chapter 23. Notation For Sums
  298.    wt: 1:   Chapter 20. Degrees and Radians
  299.    wt: 1:   Chapter 19. Functions and Sets
  300.    wt: 1:   Chapter 18. Rules for Algebra
  301.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  302.    wt: 1:   Chapter 12. Shorthand Usage Guide
  303.    wt: 1:   Chapter 11. Why Shorthand
  304.    wt: 1:   Chapter 10 Describing and Changing Calculations
  305.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  306.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  307.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  308.    wt: 1:   Chapter 2 For and Against Mathematics
  309.    wt: 1:   Postscript B More on Story Telling and Reason
  310.    wt: 1:   Chapter 24 Direct and Indirect Reason
  311.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  312.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  313.    wt: 1:   Chapter 18 Sense and Knowledge
  314.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  315.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  316.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  317.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  318.    wt: 1:   O On Learning Mathematics and Science
  319.    wt: 1:   N Improving Marks on Tests and Finals
  320.    wt: 1:   J. More on written work and showing skill
  321.    wt: 1:   I. Logic and language skills
  322.    wt: 1:   H Jigsaw puzzles and problem solving
  323.    wt: 1:   G. Written work formats for developing and showing skill
  324.    wt: 1:   E. When and how to correct errors
  325.    wt: 1:   How to Build Skills and Confidence
  326.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  327.    wt: 1:   Chapter 8 Skipped Topics and Why
  328.    wt: 1:   Chapter 6 More Algebra and Geometry
  329.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  330.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  331.    wt: 1:   7 Games and Activities for Instruction
  332.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  333.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  334.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  335.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  336.    wt: 1:   Helping the Blind in Logic and Mathematics
  337.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  338.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  339.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  340.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  341.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  342.    wt: 1:   The Math Forum and Site Content

Extended Search

755 matches:

  1.    wt: 8:   38 Formulas and derivatives for powers and roots
  2.    wt: 8:   6 Power rule from product rule
  3.    wt: 7:   Example 1. Area Between x and x squared
  4.    wt: 7:   21 Chain Rule for powers
  5.    wt: 7:   10 Power rule for negative integers
  6.    wt: 7:   13 Limits with Parameters and Derivatives Take II
  7.    wt: 7:   12 Limits with Parameters and Derivatives Take I
  8.    wt: 7:   9 Limits Continuity and Composition
  9.    wt: 7:   5 Jumps and absence of unlimited error control
  10.    wt: 6:   Example 2 volume of a cone
  11.    wt: 6:   Example 1 volume of a pyramid
  12.    wt: 6:   Volume of Solid by Cross Sections Lesson
  13.    wt: 6:   Area Between Crossing Curves Lesson Take 2
  14.    wt: 6:   Area Between Crossing Curves Lesson Take 1
  15.    wt: 6:   Example 4 with x function of y
  16.    wt: 6:   Example 3
  17.    wt: 6:   Example 2
  18.    wt: 6:   Example 1
  19.    wt: 6:   Area Between Curves Lesson Take 2
  20.    wt: 6:   Area Between Curves Lesson Take 1
  21.    wt: 6:   Summary
  22.    wt: 6:   3 Two Chain Rule Method Exercises
  23.    wt: 6:   1 Chain Rule in Reverse Integration Method
  24.    wt: 6:   A Related lessons in Volume 3
  25.    wt: 6:   A Chain Rule Real Player video examples
  26.    wt: 6:   33 Chain Rule Real Player video examples
  27.    wt: 6:   30Chain Rule A Proof
  28.    wt: 6:   29 Chain Rule Optional Reading
  29.    wt: 6:   28 Chain Rule Preparation for a Proof
  30.    wt: 6:   27 Chain Rule sinusoidal outer inner functions EGS
  31.    wt: 6:   26 Chain Rule Recognising outer inner functions
  32.    wt: 6:   25 Chain Rule Animated Examples Continued
  33.    wt: 6:   24 Chain Rule Animated Examples
  34.    wt: 6:   23 Chain Rule in general
  35.    wt: 6:   22 Chain Rule for polynomials
  36.    wt: 6:   20 Chain Rule for Pulley Systems
  37.    wt: 6:   19 Chain Rule for linear functions
  38.    wt: 6:   18 Chain Rule Introduction
  39.    wt: 6:   17 Derivatives of quotients of sine and cosine
  40.    wt: 6:   16 Derivatives of reciprocals of sine and cosine
  41.    wt: 6:   15 sine and cosine derivatives 3rd step
  42.    wt: 6:   14 sine and cosine derivatives 2nd step
  43.    wt: 6:   13 sine and cosine derivatives 1st step
  44.    wt: 6:   12 Quotient rule examples
  45.    wt: 6:   11 Quotient rule
  46.    wt: 6:   9 Reciprocal rule
  47.    wt: 6:   8 Differentiation of polynomials
  48.    wt: 6:   7 Animated Differentiation Examples
  49.    wt: 6:   5 Product Rule
  50.    wt: 6:   4 Sum Rule
  51.    wt: 6:   11 Limits at infinity Three Examples
  52.    wt: 6:   10 Three one sided limits with infinite values
  53.    wt: 6:   8 Four Animated Examples
  54.    wt: 6:   7 Evaluation by immediate or delayed substitution
  55.    wt: 6:   6 Continuity at a point
  56.    wt: 6:   4 Numerical properties
  57.    wt: 6:   3 Decimal insights for limits continuity convergence
  58.    wt: 6:   2 Algebraic codification
  59.    wt: 6:   1 Numerical introduction
  60.    wt: 5:   2 More and Less Than for Counts and Measures
  61.    wt: 5:   3 Geometric Formulas and Function Notation
  62.    wt: 5:   2 Computation Rules Evaluation
  63.    wt: 5:   1 Formulas Dependence and Function Notation
  64.    wt: 5:   A Related Material in Volume 3
  65.    wt: 5:   5 Area Under Curve Exercise
  66.    wt: 5:   4 Definite Integrals Evaluation Exercises
  67.    wt: 5:   2 Indefinite Integrals Exercises
  68.    wt: 5:   4 Second derivative test exercise example
  69.    wt: 5:   3 Second derivative test
  70.    wt: 5:   2 Second derivative test prequel
  71.    wt: 5:   1 Two cubic sketching exercises with 1st derivative
  72.    wt: 5:   36 Cube root derivative animated
  73.    wt: 5:   34 Derivative of exponential function
  74.    wt: 5:   31 Derivatives of inverse functions
  75.    wt: 5:   3 Motivation for Limit Definition Take 2
  76.    wt: 5:   2 Motivation for Limit Definition Take 1
  77.    wt: 5:   1 Fall 1983 Why Slopes Appetizer
  78.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  79.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  80.    wt: 4:   B Decimal Comparison and Subtraction
  81.    wt: 4:   2 Combing Counts Addition Skills and Principles
  82.    wt: 4:   4 Rates Ratios and Proporitionality
  83.    wt: 4:   6 Equations and Systems Equivalent or Implied
  84.    wt: 4:   4 Subtraction and Division Axioms
  85.    wt: 4:   2 Addition and Multiplication Axioms
  86.    wt: 4:   1 Equivalent Computation Rules
  87.    wt: 4:   3 More and Less Than with Unlike Signs
  88.    wt: 4:   5 Independent versus Dependent Variables
  89.    wt: 4:   4 Changing Letters
  90.    wt: 4:   1 More and Less Than for Counts and Measures
  91.    wt: 4:   C Equality for Fractions and Two Term Ratios and Fractions
  92.    wt: 4:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  93.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  94.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  95.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  96.    wt: 4:   6. Counting and adding units and mixed units
  97.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  98.    wt: 3:   A Modular and Remainder Arithmetic
  99.    wt: 3:   13 Arrows and Vectors in a Plane
  100.    wt: 3:   11 Signed Number Addition and Addition Properties
  101.    wt: 3:   8 Division and Mulplication of Compound Fractions
  102.    wt: 3:   E Long Division Methods more
  103.    wt: 3:   D Long Division Methods
  104.    wt: 3:   C Three Decimal Subtraction Methods
  105.    wt: 3:   A Decimal Addition Columm Methods
  106.    wt: 3:   8 Column Multiplication Methods in General
  107.    wt: 3:   7 Decimals Multiplication Methods Examples
  108.    wt: 3:   6 Column Methods for Decimal Multiplication
  109.    wt: 3:   5 Distributive Law for Whole Numbers
  110.    wt: 3:   4 Commutative Law Groups Counting Form
  111.    wt: 3:   3 Multiplicative Counting Skills Principles
  112.    wt: 3:   1 The Counting Origins of Numbers
  113.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  114.    wt: 3:   5 Proportionality in Equivalent Fractions
  115.    wt: 3:   3 Proportionality Examples
  116.    wt: 3:   2 Algebraic View
  117.    wt: 3:   1 What is Proportionality
  118.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  119.    wt: 3:   6 Compound Interest Forward and Backwards
  120.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  121.    wt: 3:   5 Equality in Algebra
  122.    wt: 3:   3 Product Axioms Two Forms
  123.    wt: 3:   5 Greater More Less Than Signs in General
  124.    wt: 3:   4 Comparison of Negative Numbers
  125.    wt: 3:   1 Real Numbers Comparison
  126.    wt: 3:   10 Real Number Lengths and Signs
  127.    wt: 3:   8 Coordinates for Maps and Planes
  128.    wt: 3:   1 Whole and Natural Numbers
  129.    wt: 3:   3 GE III Equation Addition and Multiplication
  130.    wt: 3:   Skill Development Notes
  131.    wt: 3:   10 One Example
  132.    wt: 3:   9 Three Examples
  133.    wt: 3:   8 One Example
  134.    wt: 3:   7 Two Examples
  135.    wt: 3:   6 Three Examples
  136.    wt: 3:   5 Three Examples
  137.    wt: 3:   4 Two Examples
  138.    wt: 3:   3 Two Examples
  139.    wt: 3:   2 Three Examples
  140.    wt: 3:   1 Written work formats for developing and showing skill
  141.    wt: 3:   9 Sets in Probability and Statistics
  142.    wt: 3:   6 Power Set Notation
  143.    wt: 3:   5 Talking about Numbers and Quantities
  144.    wt: 3:   4 A Brief Story of numbers and algebra
  145.    wt: 3:   2 More and Less Than with Unlike Signs
  146.    wt: 3:   1 Squares and Square Roots Introduction
  147.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  148.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  149.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  150.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  151.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  152.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  153.    wt: 3:   7 GCD and LCM from prime factorization
  154.    wt: 3:   4 LCM of 8 and 10 via Prime
  155.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  156.    wt: 3:   4 Counting with Trees Product Rule Take I
  157.    wt: 3:   3 Counting with Tables and Trees II
  158.    wt: 3:   2 Counting with Tables and Trees I
  159.    wt: 3:   1 Counting and Counting Methods I
  160.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  161.    wt: 3:   3 Multiplying Units and Numbers
  162.    wt: 3:   2 Equality and Units
  163.    wt: 3:   1 Addition and Subtraction with Units
  164.    wt: 3:   B Fractions and Two Term Ratios
  165.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  166.    wt: 3:   21 Reciprocals for Fractions and Wholes
  167.    wt: 3:   17 Efficient Ways to Add and Subtract
  168.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  169.    wt: 3:   14 Adding and Subtracting with Like Denominators
  170.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  171.    wt: 3:   9 Improper Fractions and Mixed Numbers
  172.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  173.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  174.    wt: 3:   5 Prime Factorization and a Square Rule
  175.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  176.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  177.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  178.    wt: 3:   8 What skills and work habits to require
  179.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  180.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  181.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  182.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  183.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  184.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  185.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  186.    wt: 3:   Chapter 7 Calculus Previews and Calculus Lightly
  187.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  188.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  189.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  190.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  191.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  192.    wt: 2:   19 Horizontal line rule and method
  193.    wt: 2:   18 Vertical Line Rule and Method
  194.    wt: 2:   11 Growth and Decay in Biology
  195.    wt: 2:   10 Exponential Growth and Decay Models
  196.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  197.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  198.    wt: 2:   1 Calculator Starter Exercises
  199.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  200.    wt: 2:   9 Summary Degrees to Radians and back
  201.    wt: 2:   1 Degrees and Radians Introduction
  202.    wt: 2:   Parallel Lines and Parallel Transversals
  203.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  204.    wt: 2:   Parallel Lines and Interior Angles
  205.    wt: 2:   14 cosine even and sine and tangent are odd
  206.    wt: 2:   21 Logarithms Powers and Exponentials
  207.    wt: 2:   12 Links Lessons elsewhere
  208.    wt: 2:   10 Midpoint of [a b] and [b a]
  209.    wt: 2:   7 Exercises to test skill and concept mastery
  210.    wt: 2:   1 Numerical view of lines and their equations
  211.    wt: 2:   What is and is not here
  212.    wt: 2:   6 Polar Multiplication and Rotation
  213.    wt: 2:   5 Cartesian Addition and Translation
  214.    wt: 2:   4 Polar Coordinates to and from
  215.    wt: 2:   6 Ruler and compass Angle Bisection
  216.    wt: 2:   3 Lengths and Areas on Maps and Plans
  217.    wt: 2:   musings do not puiblish real numbers
  218.    wt: 2:   A Signed Number Arithmetic Review
  219.    wt: 2:   26 More Less Greater Than Comparison
  220.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  221.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  222.    wt: 2:   23 Distributive Law Two Derivations
  223.    wt: 2:   22 Multiplication of Signed Numbers
  224.    wt: 2:   21 Addition of Multiples of a Single Vector
  225.    wt: 2:   19 Signed Multiples of Vectors
  226.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  227.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  228.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  229.    wt: 2:   15 Head to Tails in place Addition Associative
  230.    wt: 2:   12 Real Numbers Line Signed Coordinates
  231.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  232.    wt: 2:   9 Division with Digits after Decimal Point
  233.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  234.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  235.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  236.    wt: 2:   4 Location of Point in Decimal Addition
  237.    wt: 2:   3 Location of Point in Decimal Multiplication
  238.    wt: 2:   2 Counting Digits in Decimal Multiplication
  239.    wt: 2:   1 Fractions with Finite Decimal Expansions
  240.    wt: 2:   5 Areas of Rectangles Revisited
  241.    wt: 2:   4 Fraction Operations Axiomatic Development
  242.    wt: 2:   3 Inequalities Algebraically
  243.    wt: 2:   2 Fraction Operations Physical Development
  244.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  245.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  246.    wt: 2:   5 Triangle Area Formula Backwards
  247.    wt: 2:   3 Linear Equation Literal Solution More
  248.    wt: 2:   2 Linear Equation Literal Solution
  249.    wt: 2:   1 Changing Calculations
  250.    wt: 2:   16 Real Numbers Comparison
  251.    wt: 2:   15 Real Number Division
  252.    wt: 2:   14 Real Number Multiplication
  253.    wt: 2:   13 Real Number Subtraction
  254.    wt: 2:   12 Real Number Additive Inverses or Negatives
  255.    wt: 2:   11 Real Number Addition
  256.    wt: 2:   9 Coordinates for Regions in Space
  257.    wt: 2:   7 Real Numbers as Line Cordinates
  258.    wt: 2:   6 Unsigned Real Numbers
  259.    wt: 2:   5 Rational Numbers More
  260.    wt: 2:   4 Rational Numbers
  261.    wt: 2:   3 Fractions
  262.    wt: 2:   2 Integers
  263.    wt: 2:   More Exercises
  264.    wt: 2:   Simple Exercises
  265.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  266.    wt: 2:   4 GE III Animated Examples
  267.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  268.    wt: 2:   2 GE II Comparison
  269.    wt: 2:   1 GE Substitution four examples
  270.    wt: 2:   4 Solving a triangular system exercise
  271.    wt: 2:   3 Solving triangular system example
  272.    wt: 2:   2 Essentially one exercises three with solution
  273.    wt: 2:   1 Essentially One Unknown
  274.    wt: 2:   6 Algebraic Solution Example
  275.    wt: 2:   5 Algebraic Solutions Introduction
  276.    wt: 2:   4 Four Examples Fractional Coefficients
  277.    wt: 2:   3 Four Examples
  278.    wt: 2:   2 Three Examples
  279.    wt: 2:   1 Proper Equal Sign Usage
  280.    wt: 2:   Using Letters for Physical Quantities
  281.    wt: 2:   Formula Usage Show Work Format
  282.    wt: 2:   13 Naming Identifying Formulas with Words
  283.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  284.    wt: 2:   11 Volume of Sphere
  285.    wt: 2:   10 Volume of Pyramid
  286.    wt: 2:   9 Volume of Cone
  287.    wt: 2:   8 Compound Interest Formula Evaluation
  288.    wt: 2:   7 Compound Interest Formula Introduction
  289.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  290.    wt: 2:   5 Box Volume Formula Example
  291.    wt: 2:   4 Circle Area Formula Example
  292.    wt: 2:   3 Triangle Area Formula Example
  293.    wt: 2:   2 Another Rectangle Area Formula Example
  294.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  295.    wt: 2:   8 Sets of Numbers
  296.    wt: 2:   7 Cautious or Safe Set Construction
  297.    wt: 2:   5 Product Builder Notation
  298.    wt: 2:   4 Subset Builder Notation
  299.    wt: 2:   3 Counting with Sets etc
  300.    wt: 2:   2 Venn Diagrams
  301.    wt: 2:   1 Finite Sets
  302.    wt: 2:   6 Three Notions of What is a Variable
  303.    wt: 2:   3 Adding Words To Arithmetic
  304.    wt: 2:   2 What is a Variable
  305.    wt: 2:   1 Three Skills For Algebra
  306.    wt: 2:   About Folder Contents
  307.    wt: 2:   4 Greater More Less Than Signs in General
  308.    wt: 2:   3 Comparison of Negative Numbers
  309.    wt: 2:   5 Square Roots with primes more still
  310.    wt: 2:   4 Square Roots with primes more
  311.    wt: 2:   3 Properties of Square Roots with example
  312.    wt: 2:   2 Square Roots with Prime
  313.    wt: 2:   13 GCD from given Prime Factorization
  314.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  315.    wt: 2:   8 GCD from Euclidean Algorithm
  316.    wt: 2:   6 GCD from Prime
  317.    wt: 2:   5 Common Divisors 60 45 via Prime
  318.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  319.    wt: 2:   2 Least Common Multiple LCM intro via list method
  320.    wt: 2:   1 Least Common Multiples LCM Introduction
  321.    wt: 2:   12 GCD 2700 288 via Prime
  322.    wt: 2:   11 What are real lengths and numbers
  323.    wt: 2:   7 negative and additive inverse
  324.    wt: 2:   5 lengths and signs of numbers
  325.    wt: 2:   3 signed coordinates for maps and planes
  326.    wt: 2:   2 signed and unsigned numbers as coordinates
  327.    wt: 2:   7 Converting or Changing Units
  328.    wt: 2:   6 Simplification of Fractions with Units
  329.    wt: 2:   4 Fractions with Units
  330.    wt: 2:   D Three Term Ratios
  331.    wt: 2:   22 Complex Compound Fractions
  332.    wt: 2:   21 Working With Signs
  333.    wt: 2:   20 Dividing Fractions the Why
  334.    wt: 2:   19 Dividing Fractions How TO
  335.    wt: 2:   18 Efficient Ways to Multiply
  336.    wt: 2:   16 Addition Subtraction Comparision Compared
  337.    wt: 2:   13 Fraction Comparison Algebraic View
  338.    wt: 2:   12 Fraction Comparison
  339.    wt: 2:   11 Simplification an Algebraic View
  340.    wt: 2:   8 Numerals Fractionals Quantals Take II
  341.    wt: 2:   7 Numerals Fractionals Quantals
  342.    wt: 2:   6 Multiplication of Mixed Numbers
  343.    wt: 2:   6 Multiplication Algebraically Take II
  344.    wt: 2:   5 Equivalent Fractions
  345.    wt: 2:   4 Fraction Multiplication
  346.    wt: 2:   3 Unit fraction of a fraction
  347.    wt: 2:   2 Unit Fraction Multiplication
  348.    wt: 2:   1 What is a fraction Take II
  349.    wt: 2:   1 What is a fraction
  350.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  351.    wt: 2:   D Remainders Modulo 11 Pair Rule
  352.    wt: 2:   11 Adding Integers Formulas and Examples
  353.    wt: 2:   5 Zero Movement and Additive Inverses
  354.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  355.    wt: 2:   26 Divisibility by 2 3 5 Example
  356.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  357.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  358.    wt: 2:   23 Remainder Arithmetic Modulo 2
  359.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  360.    wt: 2:   21 Remainder Arithmetic Modulo 3
  361.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  362.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  363.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  364.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  365.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  366.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  367.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  368.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  369.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  370.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  371.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  372.    wt: 2:   5 Remainder Arithmetic Modulo 5
  373.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  374.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  375.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  376.    wt: 2:   1 Remainder Arithmetic Modulo 10
  377.    wt: 2:   17 Identify and Count Factors using Primes
  378.    wt: 2:   12 LCD GCD and LCM using Primes
  379.    wt: 2:   11 Efficient Square Rule Use
  380.    wt: 2:   7 Calculator Usage Notes and Cautions
  381.    wt: 2:   3 video Primes and Composites from 9 times table
  382.    wt: 2:   2 Prime and Composites less than 16
  383.    wt: 2:   Division with Counts and Length
  384.    wt: 2:   Long Division forwards and backwards Example 3
  385.    wt: 2:   Long Division forwards and backwards Example 2
  386.    wt: 2:   Long Division forwards and backwards Example 1
  387.    wt: 2:   10 Division by Five Long and Short Ways
  388.    wt: 2:   C Counting Areas with Powers of Ten
  389.    wt: 2:   B Powers of Ten
  390.    wt: 2:   4 Two and Three Digit Multipliers
  391.    wt: 2:   Video Power Notation in Decimal Expansion
  392.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  393.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  394.    wt: 2:   Subtraction with J Conversions Example
  395.    wt: 2:   Subtraction Another Video Lesson
  396.    wt: 2:   9 22 Minute Subtraction Review Video
  397.    wt: 2:   8 Subtraction with Units of Measure
  398.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  399.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  400.    wt: 2:   5 A Tip for Efficent Subtraction
  401.    wt: 2:   2 Subtraction Easy Case Examples
  402.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  403.    wt: 2:   7 Adding decimal fractions using decimal point
  404.    wt: 2:   5. How to add decimals C. Examples
  405.    wt: 2:   4. How to add with decimals B with conversions
  406.    wt: 2:   3. How to add with decimals A sans conversions
  407.    wt: 2:   2 Decimal Counting Practices
  408.    wt: 2:   1. Explaining Addition Table
  409.    wt: 2:   11 Place Value SI Standard International way
  410.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  411.    wt: 2:   Quick history of numbers and algebra
  412.    wt: 2:   Exact Arithmetic Wholes and Fractions
  413.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  414.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  415.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  416.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  417.    wt: 2:   PostScript For and Against Decimal Perspectives
  418.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  419.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  420.    wt: 2:   Chapter 12. Units and Slopes
  421.    wt: 2:   Chapter 10 Slopes and Units
  422.    wt: 2:   Chapter 9 About First Courses in Calculus
  423.    wt: 2:   Chapter 7 Slopes and Velocity
  424.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  425.    wt: 2:   Chapter 2. Slopes and Ski Trails
  426.    wt: 2:   Fall 1983 Calculus Appetizer
  427.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  428.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  429.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  430.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  431.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  432.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  433.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  434.    wt: 2:   O On Learning Mathematics and Science
  435.    wt: 2:   N Improving Marks on Tests and Finals
  436.    wt: 2:   J. More on written work and showing skill
  437.    wt: 2:   I. Logic and language skills
  438.    wt: 2:   H Jigsaw puzzles and problem solving
  439.    wt: 2:   G. Written work formats for developing and showing skill
  440.    wt: 2:   E. When and how to correct errors
  441.    wt: 2:   How to Build Skills and Confidence
  442.    wt: 2:   Chapter 3 Algebra Starter Lessons
  443.    wt: 2:   7 Games and Activities for Instruction
  444.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  445.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  446.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  447.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  448.    wt: 2:   More Algebra and Slope based Calculus Preview
  449.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  450.    wt: 1:   Appendix 1 primary and preschool mathematic
  451.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  452.    wt: 1:   Skills Chapter 5 Calculus
  453.    wt: 1:   7 logic review and decimals an odd combination
  454.    wt: 1:   5 logarithms and exponentials etc
  455.    wt: 1:   key notes and themes
  456.    wt: 1:   what should be learnt and When
  457.    wt: 1:   standards for course material
  458.    wt: 1:   Education in mathematics science and technology
  459.    wt: 1:   Motivation and Context Problem
  460.    wt: 1:   fairness and inductive principles for instruction
  461.    wt: 1:   4 Energy Power Heat09
  462.    wt: 1:   3 Energy Power Heat08
  463.    wt: 1:   2 Energy Power Heat07
  464.    wt: 1:   1 Energy Power Heat06
  465.    wt: 1:   E Energy Power05
  466.    wt: 1:   D Energy Power04
  467.    wt: 1:   C Energy Power03
  468.    wt: 1:   B Energy Power02
  469.    wt: 1:   A Energy Power01
  470.    wt: 1:   Home Tutoring and Home Schooling
  471.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  472.    wt: 1:   24 Standards For Skill Develoment Take II
  473.    wt: 1:   24 Standards For Skill Develoment
  474.    wt: 1:   17 Math Booklets for children and young teenagers
  475.    wt: 1:   14 Multiplication and Times Tables
  476.    wt: 1:   13 Addition and Addition Tables
  477.    wt: 1:   12 Goals and Objectives For Mathematics
  478.    wt: 1:   11 Help and Defend Your Child or Teens Education
  479.    wt: 1:   5 Patience Please for Yourself and Your Charges
  480.    wt: 1:   4 Learning Takes Time and Effort
  481.    wt: 1:   2 Reading and Writing Skills
  482.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  483.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  484.    wt: 1:   26 Function definitions done and coming
  485.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  486.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  487.    wt: 1:   17 Function maxima minima and their location
  488.    wt: 1:   11 Function Domain Range Source and Targets
  489.    wt: 1:   8 Set view of relations and functions
  490.    wt: 1:   6 Set Existence Formation and Notation
  491.    wt: 1:   4 Function notation in and beyond mathematics
  492.    wt: 1:   9 quadratics physical and further context
  493.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  494.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  495.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  496.    wt: 1:   5 Natural Logarithm Calculator Exercises
  497.    wt: 1:   2 Square Root Simplification a prequel
  498.    wt: 1:   7 Links Lessons Elsewhere
  499.    wt: 1:   16 cotangent function Definition Graph and Inverse
  500.    wt: 1:   15 cosecant function Definition Graph and Inverse
  501.    wt: 1:   14 secant function Definition Graph and Inverse
  502.    wt: 1:   13 cosecant function Definition Graph and Inverse
  503.    wt: 1:   8 Radian Measures of Common Angles
  504.    wt: 1:   7 Radian Measures in special Triangles
  505.    wt: 1:   6 Radian Measure to Degrees
  506.    wt: 1:   5 Degrees to Radian Measure
  507.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  508.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  509.    wt: 1:   2 Radian Measure Numerical Value of one degree
  510.    wt: 1:   A Global Time and Navigation
  511.    wt: 1:   15 Dot and Cross Product
  512.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  513.    wt: 1:   Vector and Complex Number Applet
  514.    wt: 1:   4 graphing y=Asin(x c)
  515.    wt: 1:   3 graphing y=f(x c) plus K
  516.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  517.    wt: 1:   1 graphing y=f(x a)
  518.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  519.    wt: 1:   Triangle Angles Sum To 180 Degrees
  520.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  521.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  522.    wt: 1:   Straight Lines ASA Intersection Study More
  523.    wt: 1:   Straight Lines ASA Intersection Study
  524.    wt: 1:   Straight Lines Instersection Solving Equations
  525.    wt: 1:   Straight Lines Intersection of
  526.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  527.    wt: 1:   C Straight Lines Slope from Coordinates
  528.    wt: 1:   B Straight Line Slope Scaling Properties More
  529.    wt: 1:   A Straight Line Slope Scaling Properties
  530.    wt: 1:   14 Straight Lines Equations General Case
  531.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  532.    wt: 1:   12 Straight Lines Graphing mx plus b
  533.    wt: 1:   11 Straight Lines Graphing y=mx
  534.    wt: 1:   10 Straight Lines through Origin Equations More
  535.    wt: 1:   9 Straight Lines through Origin Equations
  536.    wt: 1:   8 Straight Lines Equation for vertical
  537.    wt: 1:   7 Tangent Function is odd on this domain
  538.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  539.    wt: 1:   5 Tangent Function Graph
  540.    wt: 1:   4 Tangent Function Properties
  541.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  542.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  543.    wt: 1:   1 Straight Lines Slope Concept
  544.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  545.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  546.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  547.    wt: 1:   29 secant cosecant and cotangent for acute angles
  548.    wt: 1:   28 Expressing products of sines cosines as sums
  549.    wt: 1:   27 Logarithmic use of products of sines and cosines
  550.    wt: 1:   26 Formulas for products of sines and cosines
  551.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  552.    wt: 1:   21 sine and cosine Half Angle Formulas
  553.    wt: 1:   20 sine and cosine Double Angle Formulas
  554.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  555.    wt: 1:   17E Trig Formulas for dot and cross Products
  556.    wt: 1:   17D cis formulas for sine cosines and tangent
  557.    wt: 1:   17C sine and cosine double triple angle formulas
  558.    wt: 1:   10 Graphs of sines and cosines many periods
  559.    wt: 1:   9 Graphs of sine and cosine over one period
  560.    wt: 1:   7 period of sine and cosine
  561.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  562.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  563.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  564.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  565.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  566.    wt: 1:   16 References and Originality Question
  567.    wt: 1:   13 Trig Formulas for dot and cross Products
  568.    wt: 1:   12 cis formulas for sine cosines and tangent
  569.    wt: 1:   11 sine and cosine double triple angle formulas
  570.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  571.    wt: 1:   3 Trigonometric Ratios sine and cosine
  572.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  573.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  574.    wt: 1:   8 Similarity of Triangles and Polygons
  575.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  576.    wt: 1:   Four Simple Exercises
  577.    wt: 1:   11 A Partial Summary
  578.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  579.    wt: 1:   8 Mid Point Formula
  580.    wt: 1:   6 Intersection of lines by solving linear systems
  581.    wt: 1:   5 Algebraic View of Slopes
  582.    wt: 1:   4 Equations for lines three forms
  583.    wt: 1:   3 Slope product for perpendicular lines
  584.    wt: 1:   2 point slope equation for a line
  585.    wt: 1:   13 Pythagorean spatial distance formulas
  586.    wt: 1:   12 Spatial Coordinates
  587.    wt: 1:   11 Triangle Inequality
  588.    wt: 1:   10 Pythagorean plane distance formula
  589.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  590.    wt: 1:   8 Distance Between Points on a Line
  591.    wt: 1:   7 Complex Numbers Appetizer
  592.    wt: 1:   3 Rectangular Coordinates Review
  593.    wt: 1:   2 Cartesian Coordinates with signs
  594.    wt: 1:   1 Cartesian Coordinates sans signs
  595.    wt: 1:   16 Angles Subtended By Chords and Diameters
  596.    wt: 1:   1 Initial Concepts and Terms
  597.    wt: 1:   A Measurement with Ruler Proper Use
  598.    wt: 1:   arithmetic videos Real Player Format
  599.    wt: 1:   10 dividing signed numbers
  600.    wt: 1:   9 subtracting signed numbers
  601.    wt: 1:   8 multiplying signed numbers
  602.    wt: 1:   6 adding signed numbers
  603.    wt: 1:   4 signed coordinates for regions in space
  604.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  605.    wt: 1:   B Integer Long Division Multiple Choices
  606.    wt: 1:   A Associative Law Theorectical Note
  607.    wt: 1:   13 Subtraction with Additive Inverse
  608.    wt: 1:   12 Adding Integers More Examples
  609.    wt: 1:   10 Integer Multiplication Formulas
  610.    wt: 1:   9 Multiplying Integers
  611.    wt: 1:   8 Multiplication by Signed Numbers Integers
  612.    wt: 1:   7 Multiplication by Signs
  613.    wt: 1:   6 Multiplication by Natural Numbers
  614.    wt: 1:   4 Adding Movements wiht opposite directions
  615.    wt: 1:   3 Adding Movements with same direction
  616.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  617.    wt: 1:   1 Integers as Coordinates
  618.    wt: 1:   20 Uniqueness of Prime Factorization
  619.    wt: 1:   19 video Prime Factorization Unique
  620.    wt: 1:   18 video Count Factors given Prime Factorization
  621.    wt: 1:   16 video Factors of 980 using prime
  622.    wt: 1:   15 video Factors of 20 using Prime Factorization
  623.    wt: 1:   14 video Factors of 24 Take II
  624.    wt: 1:   13 video Factors of 24 using prime
  625.    wt: 1:   10 video Prime Factorization upto 23 squared
  626.    wt: 1:   9 video Prime Factorization upto 19 squared
  627.    wt: 1:   8 video Prime Factorization upto 19
  628.    wt: 1:   4 video Prime Factorization Introduction
  629.    wt: 1:   1 video how Products are bigger than factor
  630.    wt: 1:   Long Division Backwards more
  631.    wt: 1:   Long Division Backward
  632.    wt: 1:   12 Why Long Division Works Take III
  633.    wt: 1:   11 Another Single Digit Divisor Example
  634.    wt: 1:   9 Why Long Division Works Take II
  635.    wt: 1:   8 Correcting the Mistake
  636.    wt: 1:   7 Long Divison Mistake Catching
  637.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  638.    wt: 1:   5 Long Division Include Zeroes or not
  639.    wt: 1:   4 Division with 2 Digit Divsors
  640.    wt: 1:   3 Division Single Digit Divisor Example
  641.    wt: 1:   2 Division with Single Digit Divisors
  642.    wt: 1:   1 Divsion Physical Examples
  643.    wt: 1:   D Decimal Multiplication Methods Derived
  644.    wt: 1:   A Elementary Basis for Multiplication Methods
  645.    wt: 1:   6 Multiplication Commutes Order Not Important
  646.    wt: 1:   5 Decimal Fraction Multiplication
  647.    wt: 1:   3 More One Digit Multipliers
  648.    wt: 1:   2 One Digit Multipliers
  649.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  650.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  651.    wt: 1:   1 Why 3 times 5 gives 15
  652.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  653.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  654.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  655.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  656.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  657.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  658.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  659.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  660.    wt: 1:   Formula Evaluation how to show work
  661.    wt: 1:   Expression Evaluation how to show work
  662.    wt: 1:   The 20 Times Table
  663.    wt: 1:   The 12 Times Table Visually
  664.    wt: 1:   About folder contents
  665.    wt: 1:   015 School and work day counting tables
  666.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  667.    wt: 1:   4 Mixing and Changing Units of Time
  668.    wt: 1:   3 Units and Lengths of Time
  669.    wt: 1:   2 Time and Date Matters in School
  670.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  671.    wt: 1:   G.5 Motions With Bounded Velocities
  672.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  673.    wt: 1:   G.3 Constant Difference Theorem Proof
  674.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  675.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  676.    wt: 1:   F.5b Extreme Value Theorem
  677.    wt: 1:   F.5a Equicontinuity Theorems
  678.    wt: 1:   F.4 Finite Covering Theorem
  679.    wt: 1:   F.3 Intermediate Value Theorem
  680.    wt: 1:   F.2 Closed Range Theorem
  681.    wt: 1:   F.1 What Functions are Continuous
  682.    wt: 1:   E2 Algebraic Properties of Limits
  683.    wt: 1:   E1 Error Control Inequalities
  684.    wt: 1:   D2 Limits of Monotone Sequences
  685.    wt: 1:   C Triangle Inequalities
  686.    wt: 1:   B3 Bolzano Weierstrass Theorem
  687.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  688.    wt: 1:   A1. Introduction
  689.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  690.    wt: 1:   Chapter 23 Links To Trigonometry
  691.    wt: 1:   Chapter 22 Complex Numbers
  692.    wt: 1:   Chapter 21 Arrow Addition
  693.    wt: 1:   Chapter 18. Slopes Areas Integration
  694.    wt: 1:   Chapter 17. Area Approximation
  695.    wt: 1:   Chapter 16. Velocity Approximation
  696.    wt: 1:   Chapter 15. Slope Approximation
  697.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  698.    wt: 1:   Chapter 13. Acceleration
  699.    wt: 1:   Chapter 11. Graphing Slope versus Position
  700.    wt: 1:   Chapter 8. Slope Interpretation
  701.    wt: 1:   Chapter 5. Slope Sign Tests
  702.    wt: 1:   Chapter 4. More Slope Sign Analysis
  703.    wt: 1:   Chapter 3. Slope Sign Analysis
  704.    wt: 1:   Chapter 1.Introduction
  705.    wt: 1:   Foreword
  706.    wt: 1:   Appendix E. How To Study Mathematics and Why
  707.    wt: 1:   Appendix D. What to do in School and Why
  708.    wt: 1:   Chapter 31 Direct and Indirect Reason
  709.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  710.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  711.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  712.    wt: 1:   Chapter 23. Notation For Sums
  713.    wt: 1:   Chapter 20. Degrees and Radians
  714.    wt: 1:   Chapter 19. Functions and Sets
  715.    wt: 1:   Chapter 18. Rules for Algebra
  716.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  717.    wt: 1:   Chapter 12. Shorthand Usage Guide
  718.    wt: 1:   Chapter 11. Why Shorthand
  719.    wt: 1:   Chapter 10 Describing and Changing Calculations
  720.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  721.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  722.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  723.    wt: 1:   Chapter 2 For and Against Mathematics
  724.    wt: 1:   Postscript B More on Story Telling and Reason
  725.    wt: 1:   Chapter 24 Direct and Indirect Reason
  726.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  727.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  728.    wt: 1:   Chapter 18 Sense and Knowledge
  729.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  730.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  731.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  732.    wt: 1:   S Adding words to algebra
  733.    wt: 1:   R Why Learn Mathematics Skills
  734.    wt: 1:   N Mathematics Prepare for College Studies
  735.    wt: 1:   M Words to extend arithmetic
  736.    wt: 1:   L Skills with take home value
  737.    wt: 1:   H more Routine to non routine problem solving
  738.    wt: 1:   F. The student teacher tutor feedback loop
  739.    wt: 1:   D. Check work a must with a caution
  740.    wt: 1:   C. Domino effect of being careful
  741.    wt: 1:   B. Domino effect of errors
  742.    wt: 1:   A. Skill has to be seen to believed
  743.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  744.    wt: 1:   Chapter 8 Skipped Topics and Why
  745.    wt: 1:   Chapter 6 More Algebra and Geometry
  746.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  747.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  748.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  749.    wt: 1:   Helping the Blind in Logic and Mathematics
  750.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  751.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  752.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  753.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  754.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  755.    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.

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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