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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

57 matches:

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

Web Page Search

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

Extended Search

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

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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.