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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61 matches:

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

Web Page Search

330 matches:

  1.    wt: 4:   3 Natural Logarithms and Exponentials Basic Properties
  2.    wt: 4:   21 Logarithms Powers and Exponentials
  3.    wt: 4:   38 Formulas and derivatives for powers and roots
  4.    wt: 4:   Chapter 24 Logarithms Powers and Exponentials
  5.    wt: 4:   Chapter 19. Exponentials and Natural Logarithms
  6.    wt: 3:   5 logarithms and exponentials etc
  7.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  8.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  9.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  10.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  11.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  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:   3 Lengths and Areas on Maps and Plans
  15.    wt: 2:   2 More and Less Than for Counts and Measures
  16.    wt: 2:   1 Whole and Natural Numbers
  17.    wt: 2:   4 A Brief Story of numbers and algebra
  18.    wt: 2:   1 More and Less Than for Counts and Measures
  19.    wt: 2:   1 Squares and Square Roots Introduction
  20.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  21.    wt: 2:   6. Counting and adding units and mixed units
  22.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  23.    wt: 2:   Quick history of numbers and algebra
  24.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  25.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  26.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  27.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  28.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  29.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  30.    wt: 2:   Chapter 6 More Algebra and Geometry
  31.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  32.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  33.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  34.    wt: 2:   More Algebra and Slope based Calculus Preview
  35.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  36.    wt: 1:   Appendix 1 primary and preschool mathematic
  37.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  38.    wt: 1:   Ramblings Introduction Algebra Essay
  39.    wt: 1:   Skills Chapter 3 Algebra
  40.    wt: 1:   7 logic review and decimals an odd combination
  41.    wt: 1:   4 algebra
  42.    wt: 1:   key notes and themes
  43.    wt: 1:   what should be learnt and When
  44.    wt: 1:   talk the algebra talk
  45.    wt: 1:   geometric implications for algebra
  46.    wt: 1:   teaching tutoring algebraic reason
  47.    wt: 1:   Lessening Algebra Difficulties
  48.    wt: 1:   the trouble with algebra
  49.    wt: 1:   02 21 words for teachers
  50.    wt: 1:   02 20 mathematics education references
  51.    wt: 1:   standards for course material
  52.    wt: 1:   Education in mathematics science and technology
  53.    wt: 1:   Motivation and Context Problem
  54.    wt: 1:   fairness and inductive principles for instruction
  55.    wt: 1:   chapitre 06 00 Chaines de la raison
  56.    wt: 1:   chapitre 04 06 engagements
  57.    wt: 1:   chapitre 04 02 Deuxieme enigme
  58.    wt: 1:   chapitre 02 00 La Communication des idees
  59.    wt: 1:   1 Energy Power Heat06
  60.    wt: 1:   B Energy Power02
  61.    wt: 1:   2 Conductance Resistance Duality02
  62.    wt: 1:   D Wire Resistance Calculation02
  63.    wt: 1:   B Wire Resistance Qualitative02
  64.    wt: 1:   H Series Circuit02
  65.    wt: 1:   C Electromotive force conventional current02
  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:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  71.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  72.    wt: 1:   17 Math Booklets for children and young teenagers
  73.    wt: 1:   14 Multiplication and Times Tables
  74.    wt: 1:   13 Addition and Addition Tables
  75.    wt: 1:   12 Goals and Objectives For Mathematics
  76.    wt: 1:   11 Help and Defend Your Child or Teens Education
  77.    wt: 1:   5 Patience Please for Yourself and Your Charges
  78.    wt: 1:   4 Learning Takes Time and Effort
  79.    wt: 1:   2 Reading and Writing Skills
  80.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  81.    wt: 1:   26 Function definitions done and coming
  82.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  83.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  84.    wt: 1:   19 Horizontal line rule and method
  85.    wt: 1:   18 Vertical Line Rule and Method
  86.    wt: 1:   17 Function maxima minima and their location
  87.    wt: 1:   11 Function Domain Range Source and Targets
  88.    wt: 1:   8 Set view of relations and functions
  89.    wt: 1:   6 Set Existence Formation and Notation
  90.    wt: 1:   4 Function notation in and beyond mathematics
  91.    wt: 1:   2 Algebraic use of function notation
  92.    wt: 1:   9 quadratics physical and further context
  93.    wt: 1:   11 Growth and Decay in Biology
  94.    wt: 1:   10 Exponential Growth and Decay Models
  95.    wt: 1:   5 Natural Logarithm Calculator Exercises
  96.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  97.    wt: 1:   Rewriting algebraic substitution as function substitutions
  98.    wt: 1:   16 cotangent function Definition Graph and Inverse
  99.    wt: 1:   15 cosecant function Definition Graph and Inverse
  100.    wt: 1:   14 secant function Definition Graph and Inverse
  101.    wt: 1:   13 cosecant function Definition Graph and Inverse
  102.    wt: 1:   9 Summary Degrees to Radians and back
  103.    wt: 1:   1 Degrees and Radians Introduction
  104.    wt: 1:   A Global Time and Navigation
  105.    wt: 1:   15 Dot and Cross Product
  106.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  107.    wt: 1:   Vector and Complex Number Applet
  108.    wt: 1:   Parallel Lines and Parallel Transversals
  109.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  110.    wt: 1:   Parallel Lines and Interior Angles
  111.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  112.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  113.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  114.    wt: 1:   29 secant cosecant and cotangent for acute angles
  115.    wt: 1:   27 Logarithmic use of products of sines and cosines
  116.    wt: 1:   26 Formulas for products of sines and cosines
  117.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  118.    wt: 1:   21 sine and cosine Half Angle Formulas
  119.    wt: 1:   20 sine and cosine Double Angle Formulas
  120.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  121.    wt: 1:   17E Trig Formulas for dot and cross Products
  122.    wt: 1:   17D cis formulas for sine cosines and tangent
  123.    wt: 1:   17C sine and cosine double triple angle formulas
  124.    wt: 1:   10 Graphs of sines and cosines many periods
  125.    wt: 1:   9 Graphs of sine and cosine over one period
  126.    wt: 1:   7 period of sine and cosine
  127.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  128.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  129.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  130.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  131.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  132.    wt: 1:   20 N th Roots of Complex Numbers
  133.    wt: 1:   19 N th Roots of Unity
  134.    wt: 1:   18 Sixth Roots of Unity
  135.    wt: 1:   17 Cube Roots of unity
  136.    wt: 1:   16 References and Originality Question
  137.    wt: 1:   13 Trig Formulas for dot and cross Products
  138.    wt: 1:   12 cis formulas for sine cosines and tangent
  139.    wt: 1:   11 sine and cosine double triple angle formulas
  140.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  141.    wt: 1:   3 Trigonometric Ratios sine and cosine
  142.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  143.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  144.    wt: 1:   8 Similarity of Triangles and Polygons
  145.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  146.    wt: 1:   10 Midpoint of [a b] and [b a]
  147.    wt: 1:   7 Exercises to test skill and concept mastery
  148.    wt: 1:   5 Algebraic View of Slopes
  149.    wt: 1:   1 Numerical view of lines and their equations
  150.    wt: 1:   What is and is not here
  151.    wt: 1:   6 Polar Multiplication and Rotation
  152.    wt: 1:   5 Cartesian Addition and Translation
  153.    wt: 1:   4 Polar Coordinates to and from
  154.    wt: 1:   16 Angles Subtended By Chords and Diameters
  155.    wt: 1:   6 Ruler and compass Angle Bisection
  156.    wt: 1:   1 Initial Concepts and Terms
  157.    wt: 1:   A Modular and Remainder Arithmetic
  158.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  159.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  160.    wt: 1:   13 Arrows and Vectors in a Plane
  161.    wt: 1:   11 Signed Number Addition and Addition Properties
  162.    wt: 1:   8 Division and Mulplication of Compound Fractions
  163.    wt: 1:   B Decimal Comparison and Subtraction
  164.    wt: 1:   2 Combing Counts Addition Skills and Principles
  165.    wt: 1:   3 Inequalities Algebraically
  166.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  167.    wt: 1:   4 Rates Ratios and Proporitionality
  168.    wt: 1:   2 Algebraic View
  169.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  170.    wt: 1:   6 Compound Interest Forward and Backwards
  171.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  172.    wt: 1:   6 Equations and Systems Equivalent or Implied
  173.    wt: 1:   5 Equality in Algebra
  174.    wt: 1:   4 Subtraction and Division Axioms
  175.    wt: 1:   2 Addition and Multiplication Axioms
  176.    wt: 1:   3 More and Less Than with Unlike Signs
  177.    wt: 1:   10 Real Number Lengths and Signs
  178.    wt: 1:   8 Coordinates for Maps and Planes
  179.    wt: 1:   3 Geometric Formulas and Function Notation
  180.    wt: 1:   1 Formulas Dependence and Function Notation
  181.    wt: 1:   3 GE III Equation Addition and Multiplication
  182.    wt: 1:   6 Algebraic Solution Example
  183.    wt: 1:   5 Algebraic Solutions Introduction
  184.    wt: 1:   1 Written work formats for developing and showing skill
  185.    wt: 1:   9 Sets in Probability and Statistics
  186.    wt: 1:   5 Talking about Numbers and Quantities
  187.    wt: 1:   1 Three Skills For Algebra
  188.    wt: 1:   2 More and Less Than with Unlike Signs
  189.    wt: 1:   5 Square Roots with primes more still
  190.    wt: 1:   4 Square Roots with primes more
  191.    wt: 1:   3 Properties of Square Roots with example
  192.    wt: 1:   2 Square Roots with Prime
  193.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  194.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  195.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  196.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  197.    wt: 1:   7 GCD and LCM from prime factorization
  198.    wt: 1:   4 LCM of 8 and 10 via Prime
  199.    wt: 1:   3 Counting with Tables and Trees II
  200.    wt: 1:   2 Counting with Tables and Trees I
  201.    wt: 1:   1 Counting and Counting Methods I
  202.    wt: 1:   11 What are real lengths and numbers
  203.    wt: 1:   7 negative and additive inverse
  204.    wt: 1:   5 lengths and signs of numbers
  205.    wt: 1:   3 signed coordinates for maps and planes
  206.    wt: 1:   2 signed and unsigned numbers as coordinates
  207.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  208.    wt: 1:   3 Multiplying Units and Numbers
  209.    wt: 1:   2 Equality and Units
  210.    wt: 1:   1 Addition and Subtraction with Units
  211.    wt: 1:   B Fractions and Two Term Ratios
  212.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  213.    wt: 1:   21 Reciprocals for Fractions and Wholes
  214.    wt: 1:   17 Efficient Ways to Add and Subtract
  215.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  216.    wt: 1:   14 Adding and Subtracting with Like Denominators
  217.    wt: 1:   13 Fraction Comparison Algebraic View
  218.    wt: 1:   11 Simplification an Algebraic View
  219.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  220.    wt: 1:   9 Improper Fractions and Mixed Numbers
  221.    wt: 1:   6 Multiplication Algebraically Take II
  222.    wt: 1:   11 Adding Integers Formulas and Examples
  223.    wt: 1:   6 Multiplication by Natural Numbers
  224.    wt: 1:   5 Zero Movement and Additive Inverses
  225.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  226.    wt: 1:   17 Identify and Count Factors using Primes
  227.    wt: 1:   12 LCD GCD and LCM using Primes
  228.    wt: 1:   7 Calculator Usage Notes and Cautions
  229.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  230.    wt: 1:   5 Prime Factorization and a Square Rule
  231.    wt: 1:   3 video Primes and Composites from 9 times table
  232.    wt: 1:   2 Prime and Composites less than 16
  233.    wt: 1:   Division with Counts and Length
  234.    wt: 1:   Long Division forwards and backwards Example 3
  235.    wt: 1:   Long Division forwards and backwards Example 2
  236.    wt: 1:   Long Division forwards and backwards Example 1
  237.    wt: 1:   10 Division by Five Long and Short Ways
  238.    wt: 1:   C Counting Areas with Powers of Ten
  239.    wt: 1:   B Powers of Ten
  240.    wt: 1:   4 Two and Three Digit Multipliers
  241.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  242.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  243.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  244.    wt: 1:   8 What skills and work habits to require
  245.    wt: 1:   11 Place Value SI Standard International way
  246.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  247.    wt: 1:   Exact Arithmetic Wholes and Fractions
  248.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  249.    wt: 1:   015 School and work day counting tables
  250.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  251.    wt: 1:   4 Mixing and Changing Units of Time
  252.    wt: 1:   3 Units and Lengths of Time
  253.    wt: 1:   2 Time and Date Matters in School
  254.    wt: 1:   Example 1. Area Between x and x squared
  255.    wt: 1:   21 Chain Rule for powers
  256.    wt: 1:   17 Derivatives of quotients of sine and cosine
  257.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  258.    wt: 1:   15 sine and cosine derivatives 3rd step
  259.    wt: 1:   14 sine and cosine derivatives 2nd step
  260.    wt: 1:   13 sine and cosine derivatives 1st step
  261.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  262.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  263.    wt: 1:   9 Limits Continuity and Composition
  264.    wt: 1:   5 Jumps and absence of unlimited error control
  265.    wt: 1:   2 Algebraic codification
  266.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  267.    wt: 1:   E2 Algebraic Properties of Limits
  268.    wt: 1:   PostScript For and Against Decimal Perspectives
  269.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  270.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  271.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  272.    wt: 1:   Chapter 12. Units and Slopes
  273.    wt: 1:   Chapter 10 Slopes and Units
  274.    wt: 1:   Chapter 7 Slopes and Velocity
  275.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  276.    wt: 1:   Chapter 2. Slopes and Ski Trails
  277.    wt: 1:   Appendix E. How To Study Mathematics and Why
  278.    wt: 1:   Appendix D. What to do in School and Why
  279.    wt: 1:   Chapter 31 Direct and Indirect Reason
  280.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  281.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  282.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  283.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  284.    wt: 1:   Chapter 20. Degrees and Radians
  285.    wt: 1:   Chapter 19. Functions and Sets
  286.    wt: 1:   Chapter 18. Rules for Algebra
  287.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  288.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  289.    wt: 1:   Chapter 12. Shorthand Usage Guide
  290.    wt: 1:   Chapter 11. Why Shorthand
  291.    wt: 1:   Chapter 10 Describing and Changing Calculations
  292.    wt: 1:   Chapter 8 Three Skills For Algebra
  293.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  294.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  295.    wt: 1:   Chapter 3 Algebra Difficulties
  296.    wt: 1:   Chapter 2 For and Against Mathematics
  297.    wt: 1:   Postscript B More on Story Telling and Reason
  298.    wt: 1:   Chapter 24 Direct and Indirect Reason
  299.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  300.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  301.    wt: 1:   Chapter 18 Sense and Knowledge
  302.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  303.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  304.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  305.    wt: 1:   S Adding words to algebra
  306.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  307.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  308.    wt: 1:   O On Learning Mathematics and Science
  309.    wt: 1:   N Improving Marks on Tests and Finals
  310.    wt: 1:   J. More on written work and showing skill
  311.    wt: 1:   I. Logic and language skills
  312.    wt: 1:   H Jigsaw puzzles and problem solving
  313.    wt: 1:   G. Written work formats for developing and showing skill
  314.    wt: 1:   E. When and how to correct errors
  315.    wt: 1:   How to Build Skills and Confidence
  316.    wt: 1:   Chapter 8 Skipped Topics and Why
  317.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  318.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  319.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  320.    wt: 1:   Chapter 3 Algebra Starter Lessons
  321.    wt: 1:   7 Games and Activities for Instruction
  322.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  323.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  324.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  325.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  326.    wt: 1:   Helping the Blind in Logic and Mathematics
  327.    wt: 1:   Systematic Algebra Skill Development Missing Links
  328.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  329.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  330.    wt: 1:   The Math Forum and Site Content

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914 matches:

  1.    wt: 9:   11 Growth and Decay in Biology
  2.    wt: 9:   10 Exponential Growth and Decay Models
  3.    wt: 9:   5 Natural Logarithm Calculator Exercises
  4.    wt: 8:   1 Calculator Starter Exercises
  5.    wt: 7:   2 More and Less Than for Counts and Measures
  6.    wt: 7:   6 Algebraic Solution Example
  7.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  8.    wt: 7:   2 Subtraction Easy Case Examples
  9.    wt: 7:   6. Counting and adding units and mixed units
  10.    wt: 6:   2 Combing Counts Addition Skills and Principles
  11.    wt: 6:   2 Algebraic View
  12.    wt: 6:   2 Three Examples
  13.    wt: 6:   C Equality for Fractions and Two Term Ratios and Fractions
  14.    wt: 6:   9 Improper Fractions and Mixed Numbers
  15.    wt: 6:   6 Multiplication Algebraically Take II
  16.    wt: 6:   4 Subtraction with Conversions Borrows and Letter J
  17.    wt: 6:   3 Harder Cases Convert to Compare and Subtract
  18.    wt: 6:   1 Comparison and Subtraction Easy Direct Cases
  19.    wt: 5:   26 Function definitions done and coming
  20.    wt: 5:   25 Absolute Value greatest integer and saw tooth functions
  21.    wt: 5:   24 Monotoncity Injectivity and Inverse Functions
  22.    wt: 5:   6 Set Existence Formation and Notation
  23.    wt: 5:   2 Algebraic use of function notation
  24.    wt: 5:   21 Logarithms Powers and Exponentials
  25.    wt: 5:   6 Ruler and compass Angle Bisection
  26.    wt: 5:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  27.    wt: 5:   6 Column Methods for Decimal Multiplication
  28.    wt: 5:   6 Compound Interest Forward and Backwards
  29.    wt: 5:   6 Equations and Systems Equivalent or Implied
  30.    wt: 5:   2 Addition and Multiplication Axioms
  31.    wt: 5:   3 More and Less Than with Unlike Signs
  32.    wt: 5:   5 Algebraic Solutions Introduction
  33.    wt: 5:   6 Three Examples
  34.    wt: 5:   2 Three Examples
  35.    wt: 5:   2 More and Less Than with Unlike Signs
  36.    wt: 5:   1 Squares and Square Roots Introduction
  37.    wt: 5:   B Fractions and Two Term Ratios
  38.    wt: 5:   A Similarities between Fractions and Two Term Ratios
  39.    wt: 5:   21 Reciprocals for Fractions and Wholes
  40.    wt: 5:   17 Efficient Ways to Add and Subtract
  41.    wt: 5:   15 Adding and Subtracting with Unlike Denominators
  42.    wt: 5:   14 Adding and Subtracting with Like Denominators
  43.    wt: 5:   13 Fraction Comparison Algebraic View
  44.    wt: 5:   11 Simplification an Algebraic View
  45.    wt: 5:   10 Simplification of Fractions and Mixed Numerals
  46.    wt: 5:   8 Numerals Fractionals Quantals Take II
  47.    wt: 5:   7 Numerals Fractionals Quantals
  48.    wt: 5:   6 Multiplication of Mixed Numbers
  49.    wt: 5:   2 Unit Fraction Multiplication
  50.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  51.    wt: 5:   2 Division with Single Digit Divisors
  52.    wt: 5:   6 Multiplication Commutes Order Not Important
  53.    wt: 5:   2 One Digit Multipliers
  54.    wt: 5:   Appendix 2 Three Decimal Subtraction Methods
  55.    wt: 5:   Appendix 1 Decimals Comparison Method Take II
  56.    wt: 5:   Subtraction with J Conversions Example
  57.    wt: 5:   Subtraction Another Video Lesson
  58.    wt: 5:   9 22 Minute Subtraction Review Video
  59.    wt: 5:   8 Subtraction with Units of Measure
  60.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  61.    wt: 5:   5 A Tip for Efficent Subtraction
  62.    wt: 5:   8 What skills and work habits to require
  63.    wt: 5:   2 Decimal Counting Practices
  64.    wt: 5:   38 Formulas and derivatives for powers and roots
  65.    wt: 5:   Chapter 24 Logarithms Powers and Exponentials
  66.    wt: 5:   Chapter 19. Exponentials and Natural Logarithms
  67.    wt: 4:   23 Inverse Functions
  68.    wt: 4:   22 Square Root function graphically
  69.    wt: 4:   21 Graphs of functions given by Horizontal Line Method
  70.    wt: 4:   20 Interchanging coordinates a reflection
  71.    wt: 4:   6 Polynomial Operations and Equivalent Computation Rules
  72.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  73.    wt: 4:   5 Trigonometric Ratios For Tangent and Special Triangles
  74.    wt: 4:   3 Trigonometric Ratios sine and cosine
  75.    wt: 4:   2 Similar Triangles Equality of Corresponding Side Ratios
  76.    wt: 4:   6 Polar Multiplication and Rotation
  77.    wt: 4:   2 Correspondence between Triangles
  78.    wt: 4:   21 Addition of Multiples of a Single Vector
  79.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  80.    wt: 4:   13 Arrows and Vectors in a Plane
  81.    wt: 4:   11 Signed Number Addition and Addition Properties
  82.    wt: 4:   B Decimal Comparison and Subtraction
  83.    wt: 4:   3 Inequalities Algebraically
  84.    wt: 4:   2 Fraction Operations Physical Development
  85.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  86.    wt: 4:   4 Rates Ratios and Proporitionality
  87.    wt: 4:   9 Circle Area and Perimeter Formula Backwards Forwards
  88.    wt: 4:   4 Rectangle Area and Like Formulas Backwards
  89.    wt: 4:   2 Linear Equation Literal Solution
  90.    wt: 4:   5 Equality in Algebra
  91.    wt: 4:   4 Subtraction and Division Axioms
  92.    wt: 4:   5 Greater More Less Than Signs in General
  93.    wt: 4:   4 Comparison of Negative Numbers
  94.    wt: 4:   1 Real Numbers Comparison
  95.    wt: 4:   10 Real Number Lengths and Signs
  96.    wt: 4:   1 Whole and Natural Numbers
  97.    wt: 4:   3 Geometric Formulas and Function Notation
  98.    wt: 4:   2 Computation Rules Evaluation
  99.    wt: 4:   1 Formulas Dependence and Function Notation
  100.    wt: 4:   2 GE II Comparison
  101.    wt: 4:   2 Essentially one exercises three with solution
  102.    wt: 4:   4 Four Examples Fractional Coefficients
  103.    wt: 4:   3 Four Examples
  104.    wt: 4:   1 Proper Equal Sign Usage
  105.    wt: 4:   6 Pythagorean Hypotenuse Calculation Example
  106.    wt: 4:   2 Another Rectangle Area Formula Example
  107.    wt: 4:   1 Written work formats for developing and showing skill
  108.    wt: 4:   4 A Brief Story of numbers and algebra
  109.    wt: 4:   1 More and Less Than for Counts and Measures
  110.    wt: 4:   5 Square Roots with primes more still
  111.    wt: 4:   4 Square Roots with primes more
  112.    wt: 4:   3 Properties of Square Roots with example
  113.    wt: 4:   2 Square Roots with Prime
  114.    wt: 4:   2 signed and unsigned numbers as coordinates
  115.    wt: 4:   D Three Term Ratios
  116.    wt: 4:   22 Complex Compound Fractions
  117.    wt: 4:   21 Working With Signs
  118.    wt: 4:   20 Dividing Fractions the Why
  119.    wt: 4:   19 Dividing Fractions How TO
  120.    wt: 4:   18 Efficient Ways to Multiply
  121.    wt: 4:   16 Addition Subtraction Comparision Compared
  122.    wt: 4:   12 Fraction Comparison
  123.    wt: 4:   5 Equivalent Fractions
  124.    wt: 4:   4 Fraction Multiplication
  125.    wt: 4:   3 Unit fraction of a fraction
  126.    wt: 4:   1 What is a fraction Take II
  127.    wt: 4:   1 What is a fraction
  128.    wt: 4:   Fraction Operations by Raising Terms A Simple Innovation
  129.    wt: 4:   6 Multiplication by Natural Numbers
  130.    wt: 4:   6 Sieve of Eratosthenes and Square Rule
  131.    wt: 4:   2 Prime and Composites less than 16
  132.    wt: 4:   Long Division Backwards more
  133.    wt: 4:   Long Division Backward
  134.    wt: 4:   Division with Counts and Length
  135.    wt: 4:   Long Division forwards and backwards Example 3
  136.    wt: 4:   Long Division forwards and backwards Example 2
  137.    wt: 4:   Long Division forwards and backwards Example 1
  138.    wt: 4:   10 Division by Five Long and Short Ways
  139.    wt: 4:   C Counting Areas with Powers of Ten
  140.    wt: 4:   B Powers of Ten
  141.    wt: 4:   4 Two and Three Digit Multipliers
  142.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  143.    wt: 4:   7 Adding decimal fractions using decimal point
  144.    wt: 4:   5. How to add decimals C. Examples
  145.    wt: 4:   4. How to add with decimals B with conversions
  146.    wt: 4:   3. How to add with decimals A sans conversions
  147.    wt: 4:   1. Explaining Addition Table
  148.    wt: 4:   2 Algebraic codification
  149.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  150.    wt: 3:   5 logarithms and exponentials etc
  151.    wt: 3:   2 Conductance Resistance Duality02
  152.    wt: 3:   2 Reading and Writing Skills
  153.    wt: 3:   19 Horizontal line rule and method
  154.    wt: 3:   18 Vertical Line Rule and Method
  155.    wt: 3:   17 Function maxima minima and their location
  156.    wt: 3:   11 Function Domain Range Source and Targets
  157.    wt: 3:   8 Set view of relations and functions
  158.    wt: 3:   4 Function notation in and beyond mathematics
  159.    wt: 3:   9 quadratics physical and further context
  160.    wt: 3:   6 quadratics numerical approach
  161.    wt: 3:   2 quadratics graphing in general
  162.    wt: 3:   2 Column Multiplication Method
  163.    wt: 3:   Rewriting algebraic substitution as function substitutions
  164.    wt: 3:   9 Summary Degrees to Radians and back
  165.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  166.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  167.    wt: 3:   8 Triangles Cascade Problem Solving
  168.    wt: 3:   7 Trignometric Ratios Unit Circle
  169.    wt: 3:   4 Trigonometric Ratios For Two Special Triangles
  170.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  171.    wt: 3:   6 Intersection of lines by solving linear systems
  172.    wt: 3:   2 point slope equation for a line
  173.    wt: 3:   2 Cartesian Coordinates with signs
  174.    wt: 3:   21 Parallelograms
  175.    wt: 3:   16 Angles Subtended By Chords and Diameters
  176.    wt: 3:   1 Initial Concepts and Terms
  177.    wt: 3:   A Modular and Remainder Arithmetic
  178.    wt: 3:   26 More Less Greater Than Comparison
  179.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  180.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  181.    wt: 3:   23 Distributive Law Two Derivations
  182.    wt: 3:   22 Multiplication of Signed Numbers
  183.    wt: 3:   19 Signed Multiples of Vectors
  184.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  185.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  186.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  187.    wt: 3:   15 Head to Tails in place Addition Associative
  188.    wt: 3:   12 Real Numbers Line Signed Coordinates
  189.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  190.    wt: 3:   8 Division and Mulplication of Compound Fractions
  191.    wt: 3:   6 Infinite Decimals Ending in 9 repeating
  192.    wt: 3:   2 Counting Digits in Decimal Multiplication
  193.    wt: 3:   E Long Division Methods more
  194.    wt: 3:   D Long Division Methods
  195.    wt: 3:   C Three Decimal Subtraction Methods
  196.    wt: 3:   A Decimal Addition Columm Methods
  197.    wt: 3:   8 Column Multiplication Methods in General
  198.    wt: 3:   7 Decimals Multiplication Methods Examples
  199.    wt: 3:   5 Distributive Law for Whole Numbers
  200.    wt: 3:   4 Commutative Law Groups Counting Form
  201.    wt: 3:   3 Multiplicative Counting Skills Principles
  202.    wt: 3:   1 The Counting Origins of Numbers
  203.    wt: 3:   5 Areas of Rectangles Revisited
  204.    wt: 3:   4 Fraction Operations Axiomatic Development
  205.    wt: 3:   5 Proportionality in Equivalent Fractions
  206.    wt: 3:   3 Proportionality Examples
  207.    wt: 3:   1 What is Proportionality
  208.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  209.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  210.    wt: 3:   5 Triangle Area Formula Backwards
  211.    wt: 3:   3 Linear Equation Literal Solution More
  212.    wt: 3:   1 Changing Calculations
  213.    wt: 3:   3 Product Axioms Two Forms
  214.    wt: 3:   1 Equivalent Computation Rules
  215.    wt: 3:   16 Real Numbers Comparison
  216.    wt: 3:   15 Real Number Division
  217.    wt: 3:   14 Real Number Multiplication
  218.    wt: 3:   13 Real Number Subtraction
  219.    wt: 3:   12 Real Number Additive Inverses or Negatives
  220.    wt: 3:   11 Real Number Addition
  221.    wt: 3:   8 Coordinates for Maps and Planes
  222.    wt: 3:   6 Unsigned Real Numbers
  223.    wt: 3:   2 Integers
  224.    wt: 3:   5 Independent versus Dependent Variables
  225.    wt: 3:   4 Changing Letters
  226.    wt: 3:   3 GE III Equation Addition and Multiplication
  227.    wt: 3:   Skill Development Notes
  228.    wt: 3:   10 One Example
  229.    wt: 3:   9 Three Examples
  230.    wt: 3:   8 One Example
  231.    wt: 3:   7 Two Examples
  232.    wt: 3:   5 Three Examples
  233.    wt: 3:   4 Two Examples
  234.    wt: 3:   3 Two Examples
  235.    wt: 3:   13 Naming Identifying Formulas with Words
  236.    wt: 3:   12 Cone Cylinder Sphere Lesson Idea
  237.    wt: 3:   11 Volume of Sphere
  238.    wt: 3:   10 Volume of Pyramid
  239.    wt: 3:   9 Volume of Cone
  240.    wt: 3:   8 Compound Interest Formula Evaluation
  241.    wt: 3:   7 Compound Interest Formula Introduction
  242.    wt: 3:   5 Box Volume Formula Example
  243.    wt: 3:   4 Circle Area Formula Example
  244.    wt: 3:   3 Triangle Area Formula Example
  245.    wt: 3:   9 Sets in Probability and Statistics
  246.    wt: 3:   6 Power Set Notation
  247.    wt: 3:   2 Venn Diagrams
  248.    wt: 3:   6 Three Notions of What is a Variable
  249.    wt: 3:   5 Talking about Numbers and Quantities
  250.    wt: 3:   2 What is a Variable
  251.    wt: 3:   1 Three Skills For Algebra
  252.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  253.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  254.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  255.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  256.    wt: 3:   8 GCD from Euclidean Algorithm
  257.    wt: 3:   7 GCD and LCM from prime factorization
  258.    wt: 3:   6 GCD from Prime
  259.    wt: 3:   5 Common Divisors 60 45 via Prime
  260.    wt: 3:   4 LCM of 8 and 10 via Prime
  261.    wt: 3:   2 Least Common Multiple LCM intro via list method
  262.    wt: 3:   12 GCD 2700 288 via Prime
  263.    wt: 3:   3 Counting with Tables and Trees II
  264.    wt: 3:   2 Counting with Tables and Trees I
  265.    wt: 3:   1 Counting and Counting Methods I
  266.    wt: 3:   6 adding signed numbers
  267.    wt: 3:   3 signed coordinates for maps and planes
  268.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  269.    wt: 3:   3 Multiplying Units and Numbers
  270.    wt: 3:   2 Equality and Units
  271.    wt: 3:   1 Addition and Subtraction with Units
  272.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  273.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  274.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  275.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  276.    wt: 3:   5 Remainder Arithmetic Modulo 5
  277.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  278.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  279.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  280.    wt: 3:   1 Remainder Arithmetic Modulo 10
  281.    wt: 3:   12 Why Long Division Works Take III
  282.    wt: 3:   11 Another Single Digit Divisor Example
  283.    wt: 3:   9 Why Long Division Works Take II
  284.    wt: 3:   8 Correcting the Mistake
  285.    wt: 3:   7 Long Divison Mistake Catching
  286.    wt: 3:   5 Long Division Include Zeroes or not
  287.    wt: 3:   4 Division with 2 Digit Divsors
  288.    wt: 3:   3 Division Single Digit Divisor Example
  289.    wt: 3:   1 Divsion Physical Examples
  290.    wt: 3:   D Decimal Multiplication Methods Derived
  291.    wt: 3:   A Elementary Basis for Multiplication Methods
  292.    wt: 3:   5 Decimal Fraction Multiplication
  293.    wt: 3:   3 More One Digit Multipliers
  294.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  295.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  296.    wt: 3:   Video Power Notation in Decimal Expansion
  297.    wt: 3:   1 Why 3 times 5 gives 15
  298.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  299.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  300.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  301.    wt: 3:   Quick history of numbers and algebra
  302.    wt: 3:   21 Chain Rule for powers
  303.    wt: 3:   6 Power rule from product rule
  304.    wt: 3:   6 Continuity at a point
  305.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  306.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  307.    wt: 3:   Chapter 2. Slopes and Ski Trails
  308.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  309.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  310.    wt: 3:   Chapter 2 For and Against Mathematics
  311.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  312.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  313.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  314.    wt: 3:   Chapter 6 More Algebra and Geometry
  315.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  316.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  317.    wt: 2:   Lessening Algebra Difficulties
  318.    wt: 2:   the trouble with algebra
  319.    wt: 2:   Motivation and Context Problem
  320.    wt: 2:   fairness and inductive principles for instruction
  321.    wt: 2:   2 Energy Power Heat07
  322.    wt: 2:   1 Energy Power Heat06
  323.    wt: 2:   B Energy Power02
  324.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  325.    wt: 2:   24 Standards For Skill Develoment Take II
  326.    wt: 2:   24 Standards For Skill Develoment
  327.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  328.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  329.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  330.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  331.    wt: 2:   sign monoticity analysis example 4
  332.    wt: 2:   sign monoticity analysis example 3
  333.    wt: 2:   sign monoticity analysis example 2
  334.    wt: 2:   sign monoticity analysis example 1
  335.    wt: 2:   16 Increasing or decreasing on intervals
  336.    wt: 2:   15 Sign analysis of functions
  337.    wt: 2:   14 Surjections Injections Bijections
  338.    wt: 2:   13 From one to one to many to one
  339.    wt: 2:   12 Function Domain Recognition Exercises
  340.    wt: 2:   10 Interval Notation
  341.    wt: 2:   9 Set theory term relation possible origins
  342.    wt: 2:   7 Functions with finite domains
  343.    wt: 2:   5 Function notation for geometric transformations
  344.    wt: 2:   3 Formula or function graphing exercise
  345.    wt: 2:   1 Geometric Introduction of Function Notation
  346.    wt: 2:   Introduction Reading Guide
  347.    wt: 2:   A Quadratics Summary
  348.    wt: 2:   10 quadratic exercises
  349.    wt: 2:   8 quadratics backward use of various formulas
  350.    wt: 2:   7 quadratic formulla derivation
  351.    wt: 2:   5 quadratics completing the square
  352.    wt: 2:   4 quadratics difference of two squares
  353.    wt: 2:   3 quadratics factoring by inspection
  354.    wt: 2:   1 quadratics graphing exercises
  355.    wt: 2:   Quadratics in 10 steps
  356.    wt: 2:   8 Notes for instructors or tutors
  357.    wt: 2:   7 Links Lessons Elsewhere
  358.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  359.    wt: 2:   4 Polynomials Long division linear divisor
  360.    wt: 2:   3 Polynomials Multiplication Addition
  361.    wt: 2:   1 Polynomials Distributive Law
  362.    wt: 2:   16 cotangent function Definition Graph and Inverse
  363.    wt: 2:   15 cosecant function Definition Graph and Inverse
  364.    wt: 2:   14 secant function Definition Graph and Inverse
  365.    wt: 2:   13 cosecant function Definition Graph and Inverse
  366.    wt: 2:   1 Degrees and Radians Introduction
  367.    wt: 2:   2 Signed Coordinates
  368.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  369.    wt: 2:   Parallel Lines and Parallel Transversals
  370.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  371.    wt: 2:   Parallel Lines and Interior Angles
  372.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  373.    wt: 2:   C Straight Lines Slope from Coordinates
  374.    wt: 2:   B Straight Line Slope Scaling Properties More
  375.    wt: 2:   A Straight Line Slope Scaling Properties
  376.    wt: 2:   8 Straight Lines Equation for vertical
  377.    wt: 2:   7 Tangent Function is odd on this domain
  378.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  379.    wt: 2:   5 Tangent Function Graph
  380.    wt: 2:   4 Tangent Function Properties
  381.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  382.    wt: 2:   21 sine and cosine Half Angle Formulas
  383.    wt: 2:   14 cosine even and sine and tangent are odd
  384.    wt: 2:   9 Graphs of sine and cosine over one period
  385.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  386.    wt: 2:   20 N th Roots of Complex Numbers
  387.    wt: 2:   6 Field Properties of Complex Number
  388.    wt: 2:   2 Complex Numbers made easier we hope
  389.    wt: 2:   1 Angle Measurement with Degrees
  390.    wt: 2:   Why Trigonometry the whyslopes view
  391.    wt: 2:   2 Similarity By Design
  392.    wt: 2:   10 Midpoint of [a b] and [b a]
  393.    wt: 2:   7 Exercises to test skill and concept mastery
  394.    wt: 2:   5 Algebraic View of Slopes
  395.    wt: 2:   1 Numerical view of lines and their equations
  396.    wt: 2:   What is and is not here
  397.    wt: 2:   5 Cartesian Addition and Translation
  398.    wt: 2:   4 Polar Coordinates to and from
  399.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  400.    wt: 2:   PS H Distributive Law For Complex Numbers
  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:   19 Right Triangle Similarity
  409.    wt: 2:   18 Triangle Similarity Take 1
  410.    wt: 2:   17 Right Bisectors of Triangle Sides
  411.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  412.    wt: 2:   14 Parallel Lines Postulate
  413.    wt: 2:   13 Angle Side Angle Failure
  414.    wt: 2:   12 Side Angle Side Failure
  415.    wt: 2:   11 Triangle Construction Fails
  416.    wt: 2:   10 Dropping a perpendicular to line
  417.    wt: 2:   9 Construction of a right bisector
  418.    wt: 2:   8 Isoceles Triangles
  419.    wt: 2:   7 Angle Side Angle
  420.    wt: 2:   5 Side Angle Side
  421.    wt: 2:   4 Side Side Side
  422.    wt: 2:   3 Isometry of Triangles Congruence
  423.    wt: 2:   Short Course on Euclidean Geometry
  424.    wt: 2:   3 Lengths and Areas on Maps and Plans
  425.    wt: 2:   musings do not puiblish real numbers
  426.    wt: 2:   A Signed Number Arithmetic Review
  427.    wt: 2:   9 Division with Digits after Decimal Point
  428.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  429.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  430.    wt: 2:   4 Location of Point in Decimal Addition
  431.    wt: 2:   3 Location of Point in Decimal Multiplication
  432.    wt: 2:   1 Fractions with Finite Decimal Expansions
  433.    wt: 2:   9 Coordinates for Regions in Space
  434.    wt: 2:   7 Real Numbers as Line Cordinates
  435.    wt: 2:   5 Rational Numbers More
  436.    wt: 2:   4 Rational Numbers
  437.    wt: 2:   3 Fractions
  438.    wt: 2:   More Exercises
  439.    wt: 2:   Simple Exercises
  440.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  441.    wt: 2:   4 GE III Animated Examples
  442.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  443.    wt: 2:   1 GE Substitution four examples
  444.    wt: 2:   4 Solving a triangular system exercise
  445.    wt: 2:   3 Solving triangular system example
  446.    wt: 2:   1 Essentially One Unknown
  447.    wt: 2:   Using Letters for Physical Quantities
  448.    wt: 2:   Formula Usage Show Work Format
  449.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  450.    wt: 2:   8 Sets of Numbers
  451.    wt: 2:   7 Cautious or Safe Set Construction
  452.    wt: 2:   5 Product Builder Notation
  453.    wt: 2:   4 Subset Builder Notation
  454.    wt: 2:   3 Counting with Sets etc
  455.    wt: 2:   1 Finite Sets
  456.    wt: 2:   3 Adding Words To Arithmetic
  457.    wt: 2:   About Folder Contents
  458.    wt: 2:   4 Greater More Less Than Signs in General
  459.    wt: 2:   3 Comparison of Negative Numbers
  460.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  461.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  462.    wt: 2:   13 GCD from given Prime Factorization
  463.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  464.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  465.    wt: 2:   1 Least Common Multiples LCM Introduction
  466.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  467.    wt: 2:   4 Counting with Trees Product Rule Take I
  468.    wt: 2:   11 What are real lengths and numbers
  469.    wt: 2:   7 negative and additive inverse
  470.    wt: 2:   5 lengths and signs of numbers
  471.    wt: 2:   7 Converting or Changing Units
  472.    wt: 2:   6 Simplification of Fractions with Units
  473.    wt: 2:   4 Fractions with Units
  474.    wt: 2:   11 Adding Integers Formulas and Examples
  475.    wt: 2:   5 Zero Movement and Additive Inverses
  476.    wt: 2:   26 Divisibility by 2 3 5 Example
  477.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  478.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  479.    wt: 2:   23 Remainder Arithmetic Modulo 2
  480.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  481.    wt: 2:   21 Remainder Arithmetic Modulo 3
  482.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  483.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  484.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  485.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  486.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  487.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  488.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  489.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  490.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  491.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  492.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  493.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  494.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  495.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  496.    wt: 2:   20 Uniqueness of Prime Factorization
  497.    wt: 2:   17 Identify and Count Factors using Primes
  498.    wt: 2:   12 LCD GCD and LCM using Primes
  499.    wt: 2:   7 Calculator Usage Notes and Cautions
  500.    wt: 2:   5 Prime Factorization and a Square Rule
  501.    wt: 2:   3 video Primes and Composites from 9 times table
  502.    wt: 2:   11 Place Value SI Standard International way
  503.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  504.    wt: 2:   Exact Arithmetic Wholes and Fractions
  505.    wt: 2:   The 20 Times Table
  506.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  507.    wt: 2:   2 Time and Date Matters in School
  508.    wt: 2:   Example 2 volume of a cone
  509.    wt: 2:   Example 1 volume of a pyramid
  510.    wt: 2:   Volume of Solid by Cross Sections Lesson
  511.    wt: 2:   Example 1. Area Between x and x squared
  512.    wt: 2:   29 Chain Rule Optional Reading
  513.    wt: 2:   28 Chain Rule Preparation for a Proof
  514.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  515.    wt: 2:   26 Chain Rule Recognising outer inner functions
  516.    wt: 2:   23 Chain Rule in general
  517.    wt: 2:   22 Chain Rule for polynomials
  518.    wt: 2:   17 Derivatives of quotients of sine and cosine
  519.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  520.    wt: 2:   15 sine and cosine derivatives 3rd step
  521.    wt: 2:   14 sine and cosine derivatives 2nd step
  522.    wt: 2:   13 sine and cosine derivatives 1st step
  523.    wt: 2:   11 Quotient rule
  524.    wt: 2:   10 Power rule for negative integers
  525.    wt: 2:   9 Reciprocal rule
  526.    wt: 2:   8 Differentiation of polynomials
  527.    wt: 2:   7 Animated Differentiation Examples
  528.    wt: 2:   5 Product Rule
  529.    wt: 2:   4 Sum Rule
  530.    wt: 2:   2 Motivation for Limit Definition Take 1
  531.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  532.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  533.    wt: 2:   9 Limits Continuity and Composition
  534.    wt: 2:   5 Jumps and absence of unlimited error control
  535.    wt: 2:   3 Decimal insights for limits continuity convergence
  536.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  537.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  538.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  539.    wt: 2:   Chapter 12. Units and Slopes
  540.    wt: 2:   Chapter 10 Slopes and Units
  541.    wt: 2:   Chapter 7 Slopes and Velocity
  542.    wt: 2:   Fall 1983 Calculus Appetizer
  543.    wt: 2:   Appendix E. How To Study Mathematics and Why
  544.    wt: 2:   Appendix D. What to do in School and Why
  545.    wt: 2:   Chapter 31 Direct and Indirect Reason
  546.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  547.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  548.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  549.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  550.    wt: 2:   Chapter 20. Degrees and Radians
  551.    wt: 2:   Chapter 19. Functions and Sets
  552.    wt: 2:   Chapter 18. Rules for Algebra
  553.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  554.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  555.    wt: 2:   Chapter 12. Shorthand Usage Guide
  556.    wt: 2:   Chapter 11. Why Shorthand
  557.    wt: 2:   Chapter 10 Describing and Changing Calculations
  558.    wt: 2:   Chapter 8 Three Skills For Algebra
  559.    wt: 2:   Chapter 6 Change of Language
  560.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  561.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  562.    wt: 2:   Chapter 3 Algebra Difficulties
  563.    wt: 2:   Postscript B More on Story Telling and Reason
  564.    wt: 2:   Chapter 24 Direct and Indirect Reason
  565.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  566.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  567.    wt: 2:   Chapter 18 Sense and Knowledge
  568.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  569.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  570.    wt: 2:   Chapter 6 Chains of Reason
  571.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  572.    wt: 2:   Chapter 2 Skill Development
  573.    wt: 2:   Three Remarks
  574.    wt: 2:   S Adding words to algebra
  575.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  576.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  577.    wt: 2:   O On Learning Mathematics and Science
  578.    wt: 2:   N Improving Marks on Tests and Finals
  579.    wt: 2:   J. More on written work and showing skill
  580.    wt: 2:   I. Logic and language skills
  581.    wt: 2:   H Jigsaw puzzles and problem solving
  582.    wt: 2:   G. Written work formats for developing and showing skill
  583.    wt: 2:   F. The student teacher tutor feedback loop
  584.    wt: 2:   E. When and how to correct errors
  585.    wt: 2:   B. Domino effect of errors
  586.    wt: 2:   How to Build Skills and Confidence
  587.    wt: 2:   7 Games and Activities for Instruction
  588.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  589.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  590.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  591.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  592.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  593.    wt: 2:   More Algebra and Slope based Calculus Preview
  594.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  595.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  596.    wt: 1:   Appendix 1 primary and preschool mathematic
  597.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  598.    wt: 1:   Ramblings Introduction Algebra Essay
  599.    wt: 1:   Skills Chapter 3 Algebra
  600.    wt: 1:   7 logic review and decimals an odd combination
  601.    wt: 1:   6 polynomials etc
  602.    wt: 1:   4 algebra
  603.    wt: 1:   2 arithmetic with signed numbers
  604.    wt: 1:   why bother
  605.    wt: 1:   Applied Maths Program14092009 POMME variant
  606.    wt: 1:   About site lesson plans
  607.    wt: 1:   key notes and themes
  608.    wt: 1:   what should be learnt and When
  609.    wt: 1:   talk the algebra talk
  610.    wt: 1:   teaching tips
  611.    wt: 1:   geometric implications for algebra
  612.    wt: 1:   teaching tutoring algebraic reason
  613.    wt: 1:   three goals for Mathematics Education
  614.    wt: 1:   02 21 words for teachers
  615.    wt: 1:   02 20 mathematics education references
  616.    wt: 1:   standards for course material
  617.    wt: 1:   Operational Viewpoint to Value
  618.    wt: 1:   Education in mathematics science and technology
  619.    wt: 1:   three kinds of reason in mathematics
  620.    wt: 1:   Prequel In For A Penny In For A Pound
  621.    wt: 1:   education an empirical art
  622.    wt: 1:   chapitre 06 00 Chaines de la raison
  623.    wt: 1:   chapitre 04 06 engagements
  624.    wt: 1:   chapitre 04 02 Deuxieme enigme
  625.    wt: 1:   chapitre 02 00 La Communication des idees
  626.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  627.    wt: 1:   logique deux enigme
  628.    wt: 1:   4 Energy Power Heat09
  629.    wt: 1:   3 Energy Power Heat08
  630.    wt: 1:   E Energy Power05
  631.    wt: 1:   D Energy Power04
  632.    wt: 1:   C Energy Power03
  633.    wt: 1:   A Energy Power01
  634.    wt: 1:   D Wire Resistance Calculation02
  635.    wt: 1:   B Wire Resistance Qualitative02
  636.    wt: 1:   H Series Circuit02
  637.    wt: 1:   E Kirchoffs Second Law
  638.    wt: 1:   C Electromotive force conventional current02
  639.    wt: 1:   Home Tutoring and Home Schooling
  640.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  641.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  642.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  643.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  644.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  645.    wt: 1:   22 Student Centered Highschool Mathematics
  646.    wt: 1:   17 Math Booklets for children and young teenagers
  647.    wt: 1:   14 Multiplication and Times Tables
  648.    wt: 1:   13 Addition and Addition Tables
  649.    wt: 1:   12 Goals and Objectives For Mathematics
  650.    wt: 1:   11 Help and Defend Your Child or Teens Education
  651.    wt: 1:   5 Patience Please for Yourself and Your Charges
  652.    wt: 1:   4 Learning Takes Time and Effort
  653.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  654.    wt: 1:   12 motivation for term arctan
  655.    wt: 1:   11 arctan left inverse of tangent Graph
  656.    wt: 1:   10 arctan left inverse of tangent Definition
  657.    wt: 1:   8 Radian Measures of Common Angles
  658.    wt: 1:   7 Radian Measures in special Triangles
  659.    wt: 1:   6 Radian Measure to Degrees
  660.    wt: 1:   5 Degrees to Radian Measure
  661.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  662.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  663.    wt: 1:   2 Radian Measure Numerical Value of one degree
  664.    wt: 1:   A Global Time and Navigation
  665.    wt: 1:   15 Dot and Cross Product
  666.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  667.    wt: 1:   6 Vectors with Coordinates
  668.    wt: 1:   Vector and Complex Number Applet
  669.    wt: 1:   4 graphing y=Asin(x c)
  670.    wt: 1:   3 graphing y=f(x c) plus K
  671.    wt: 1:   1 graphing y=f(x a)
  672.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  673.    wt: 1:   Triangle Angles Sum To 180 Degrees
  674.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  675.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  676.    wt: 1:   Straight Lines ASA Intersection Study More
  677.    wt: 1:   Straight Lines ASA Intersection Study
  678.    wt: 1:   Straight Lines Instersection Solving Equations
  679.    wt: 1:   Straight Lines Intersection of
  680.    wt: 1:   14 Straight Lines Equations General Case
  681.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  682.    wt: 1:   12 Straight Lines Graphing mx plus b
  683.    wt: 1:   11 Straight Lines Graphing y=mx
  684.    wt: 1:   10 Straight Lines through Origin Equations More
  685.    wt: 1:   9 Straight Lines through Origin Equations
  686.    wt: 1:   1 Straight Lines Slope Concept
  687.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  688.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  689.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  690.    wt: 1:   29 secant cosecant and cotangent for acute angles
  691.    wt: 1:   27 Logarithmic use of products of sines and cosines
  692.    wt: 1:   26 Formulas for products of sines and cosines
  693.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  694.    wt: 1:   20 sine and cosine Double Angle Formulas
  695.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  696.    wt: 1:   17E Trig Formulas for dot and cross Products
  697.    wt: 1:   17D cis formulas for sine cosines and tangent
  698.    wt: 1:   17C sine and cosine double triple angle formulas
  699.    wt: 1:   10 Graphs of sines and cosines many periods
  700.    wt: 1:   7 period of sine and cosine
  701.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  702.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  703.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  704.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  705.    wt: 1:   19 N th Roots of Unity
  706.    wt: 1:   18 Sixth Roots of Unity
  707.    wt: 1:   17 Cube Roots of unity
  708.    wt: 1:   16 References and Originality Question
  709.    wt: 1:   13 Trig Formulas for dot and cross Products
  710.    wt: 1:   12 cis formulas for sine cosines and tangent
  711.    wt: 1:   11 sine and cosine double triple angle formulas
  712.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  713.    wt: 1:   8 Similarity of Triangles and Polygons
  714.    wt: 1:   6 Geometric Diagrams in Class
  715.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  716.    wt: 1:   Four Simple Exercises
  717.    wt: 1:   12 Links Lessons elsewhere
  718.    wt: 1:   11 A Partial Summary
  719.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  720.    wt: 1:   8 Mid Point Formula
  721.    wt: 1:   4 Equations for lines three forms
  722.    wt: 1:   3 Slope product for perpendicular lines
  723.    wt: 1:   13 Pythagorean spatial distance formulas
  724.    wt: 1:   12 Spatial Coordinates
  725.    wt: 1:   11 Triangle Inequality
  726.    wt: 1:   10 Pythagorean plane distance formula
  727.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  728.    wt: 1:   8 Distance Between Points on a Line
  729.    wt: 1:   7 Complex Numbers Appetizer
  730.    wt: 1:   3 Rectangular Coordinates Review
  731.    wt: 1:   1 Cartesian Coordinates sans signs
  732.    wt: 1:   6 Figuring with Maps Not to Scale
  733.    wt: 1:   2 Measuring Area Directly
  734.    wt: 1:   arithmetic videos Real Player Format
  735.    wt: 1:   10 dividing signed numbers
  736.    wt: 1:   9 subtracting signed numbers
  737.    wt: 1:   8 multiplying signed numbers
  738.    wt: 1:   4 signed coordinates for regions in space
  739.    wt: 1:   D Remainders Modulo 11 Pair Rule
  740.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  741.    wt: 1:   B Integer Long Division Multiple Choices
  742.    wt: 1:   A Associative Law Theorectical Note
  743.    wt: 1:   13 Subtraction with Additive Inverse
  744.    wt: 1:   12 Adding Integers More Examples
  745.    wt: 1:   10 Integer Multiplication Formulas
  746.    wt: 1:   9 Multiplying Integers
  747.    wt: 1:   8 Multiplication by Signed Numbers Integers
  748.    wt: 1:   7 Multiplication by Signs
  749.    wt: 1:   4 Adding Movements wiht opposite directions
  750.    wt: 1:   3 Adding Movements with same direction
  751.    wt: 1:   1 Integers as Coordinates
  752.    wt: 1:   19 video Prime Factorization Unique
  753.    wt: 1:   18 video Count Factors given Prime Factorization
  754.    wt: 1:   16 video Factors of 980 using prime
  755.    wt: 1:   15 video Factors of 20 using Prime Factorization
  756.    wt: 1:   14 video Factors of 24 Take II
  757.    wt: 1:   13 video Factors of 24 using prime
  758.    wt: 1:   11 Efficient Square Rule Use
  759.    wt: 1:   10 video Prime Factorization upto 23 squared
  760.    wt: 1:   9 video Prime Factorization upto 19 squared
  761.    wt: 1:   8 video Prime Factorization upto 19
  762.    wt: 1:   4 video Prime Factorization Introduction
  763.    wt: 1:   1 video how Products are bigger than factor
  764.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  765.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  766.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  767.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  768.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  769.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  770.    wt: 1:   Formula Evaluation how to show work
  771.    wt: 1:   Expression Evaluation how to show work
  772.    wt: 1:   The 12 Times Table Visually
  773.    wt: 1:   About folder contents
  774.    wt: 1:   015 School and work day counting tables
  775.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  776.    wt: 1:   6 How long is a million seconds
  777.    wt: 1:   4 Mixing and Changing Units of Time
  778.    wt: 1:   3 Units and Lengths of Time
  779.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  780.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  781.    wt: 1:   Example 4 with x function of y
  782.    wt: 1:   Example 3
  783.    wt: 1:   Example 2
  784.    wt: 1:   Example 1
  785.    wt: 1:   Area Between Curves Lesson Take 2
  786.    wt: 1:   Area Between Curves Lesson Take 1
  787.    wt: 1:   Summary
  788.    wt: 1:   4 Definite Integrals Evaluation Exercises
  789.    wt: 1:   2 Indefinite Integrals Exercises
  790.    wt: 1:   1 Chain Rule in Reverse Integration Method
  791.    wt: 1:   2 Second derivative test prequel
  792.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  793.    wt: 1:   A Chain Rule Real Player video examples
  794.    wt: 1:   36 Cube root derivative animated
  795.    wt: 1:   34 Derivative of exponential function
  796.    wt: 1:   33 Chain Rule Real Player video examples
  797.    wt: 1:   31 Derivatives of inverse functions
  798.    wt: 1:   30Chain Rule A Proof
  799.    wt: 1:   25 Chain Rule Animated Examples Continued
  800.    wt: 1:   24 Chain Rule Animated Examples
  801.    wt: 1:   20 Chain Rule for Pulley Systems
  802.    wt: 1:   19 Chain Rule for linear functions
  803.    wt: 1:   18 Chain Rule Introduction
  804.    wt: 1:   12 Quotient rule examples
  805.    wt: 1:   3 Motivation for Limit Definition Take 2
  806.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  807.    wt: 1:   11 Limits at infinity Three Examples
  808.    wt: 1:   10 Three one sided limits with infinite values
  809.    wt: 1:   8 Four Animated Examples
  810.    wt: 1:   7 Evaluation by immediate or delayed substitution
  811.    wt: 1:   4 Numerical properties
  812.    wt: 1:   1 Numerical introduction
  813.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  814.    wt: 1:   E2 Algebraic Properties of Limits
  815.    wt: 1:   D2 Limits of Monotone Sequences
  816.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  817.    wt: 1:   PostScript For and Against Decimal Perspectives
  818.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  819.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  820.    wt: 1:   Chapter 23 Links To Trigonometry
  821.    wt: 1:   Chapter 22 Complex Numbers
  822.    wt: 1:   Chapter 21 Arrow Addition
  823.    wt: 1:   Chapter 18. Slopes Areas Integration
  824.    wt: 1:   Chapter 17. Area Approximation
  825.    wt: 1:   Chapter 16. Velocity Approximation
  826.    wt: 1:   Chapter 15. Slope Approximation
  827.    wt: 1:   Chapter 13. Acceleration
  828.    wt: 1:   Chapter 11. Graphing Slope versus Position
  829.    wt: 1:   Chapter 9 About First Courses in Calculus
  830.    wt: 1:   Chapter 8. Slope Interpretation
  831.    wt: 1:   Chapter 5. Slope Sign Tests
  832.    wt: 1:   Chapter 4. More Slope Sign Analysis
  833.    wt: 1:   Chapter 3. Slope Sign Analysis
  834.    wt: 1:   Chapter 1.Introduction
  835.    wt: 1:   Foreword
  836.    wt: 1:   Postscript More on Better Performance
  837.    wt: 1:   Postscript For Better Performance
  838.    wt: 1:   Appendix C. How to Read
  839.    wt: 1:   Appendix B. How To Learn
  840.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  841.    wt: 1:   Chapter 30 Truth Tables
  842.    wt: 1:   Chapter 28 Occurrence Tables
  843.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  844.    wt: 1:   Chapter 25. Mathematical Induction Examples
  845.    wt: 1:   Chapter 23. Notation For Sums
  846.    wt: 1:   Chapter 21. Third Reading Guide
  847.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  848.    wt: 1:   Chapter 16. Painless Theorem Proving
  849.    wt: 1:   Chapter 15. Solving Linear Equations
  850.    wt: 1:   Chapter 13. Second Reading Guide
  851.    wt: 1:   Postscript What is a Variable
  852.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  853.    wt: 1:   Solutions For Arithmetic Exercises
  854.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  855.    wt: 1:   Chapter 4 Longer Chains of Reason
  856.    wt: 1:   Chapter 3 Chains of Reason
  857.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  858.    wt: 1:   Foreword
  859.    wt: 1:   Annotated Links to Material Elsehwere
  860.    wt: 1:   Postscript B Mathematics Education References
  861.    wt: 1:   Postscript A Three Remarks
  862.    wt: 1:   Chapter 12 Four Phases
  863.    wt: 1:   Chapter 11 Elementary Instruction
  864.    wt: 1:   Chapter 10 Transition
  865.    wt: 1:   Chapter 9 The Two Ends
  866.    wt: 1:   Chapter 8 Modern Instruction
  867.    wt: 1:   Chapter 7 Two Treatments of Geometry
  868.    wt: 1:   Chapter 5 Four References
  869.    wt: 1:   Chapter 1 Introduction
  870.    wt: 1:   Foreword
  871.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  872.    wt: 1:   Postscript C Consistency as a Tool for Reason
  873.    wt: 1:   Postscript A Story Telling
  874.    wt: 1:   Chapter 23 Truth Tables
  875.    wt: 1:   Chapter 21 Occurrence Tables
  876.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  877.    wt: 1:   Chapter 15 Objective Processes
  878.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  879.    wt: 1:   Chapter 11 Accidental Patterns
  880.    wt: 1:   Chapter 10 Responsibility
  881.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  882.    wt: 1:   Chapter 8 Change of Language
  883.    wt: 1:   Chapter 7 Longer Chains of Reason
  884.    wt: 1:   Chapter 5 Deception
  885.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  886.    wt: 1:   Chapter 1 Introduction
  887.    wt: 1:   Foreword
  888.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  889.    wt: 1:   R Why Learn Mathematics Skills
  890.    wt: 1:   N Mathematics Prepare for College Studies
  891.    wt: 1:   M Words to extend arithmetic
  892.    wt: 1:   L Skills with take home value
  893.    wt: 1:   H more Routine to non routine problem solving
  894.    wt: 1:   D. Check work a must with a caution
  895.    wt: 1:   C. Domino effect of being careful
  896.    wt: 1:   A. Skill has to be seen to believed
  897.    wt: 1:   Chapter 8 Skipped Topics and Why
  898.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  899.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  900.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  901.    wt: 1:   Chapter 3 Algebra Starter Lessons
  902.    wt: 1:   Chapter 2 Why Sets
  903.    wt: 1:   Helping the Blind in Logic and Mathematics
  904.    wt: 1:   Implementation Notes
  905.    wt: 1:   Systematic Algebra Skill Development Missing Links
  906.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  907.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  908.    wt: 1:   The Math Forum and Site Content
  909.    wt: 13:   6 Formulas for Even and Odd Roots with Logarithms
  910.    wt: 12:   3 Natural Logarithms and Exponentials Basic Properties
  911.    wt: 10:   9 Formulas for Real Exponents with Logarithms
  912.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms
  913.    wt: 10:   7 Formulas for Roots with Logarithms Derivation
  914.    wt: 10:   2 Square Root Simplification a prequel

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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