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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53 matches:

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

Web Page Search

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

Extended Search

737 matches:

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

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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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