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 Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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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48 matches:

  1.    wt: 9:   1 Maps Plans Measurement/
  2.    wt: 7:   14 Degrees to Radians and Radians to Degrees/
  3.    wt: 7:   13 Vectors/
  4.    wt: 7:   12 Function Translating and Rescaling/
  5.    wt: 7:   11 Parallel Straight Lines and Transversals/
  6.    wt: 7:   10 Intersecting Straight Lines and Transversals/
  7.    wt: 6:   15 Arc or Inverse Trigonometric Function/
  8.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  9.    wt: 6:   8 Unit Circle Trigonometry/
  10.    wt: 6:   6 Trigonometry first steps/
  11.    wt: 6:   4 Lines and Slopes Take 1/
  12.    wt: 6:   3 Cartesian and Polar Coordinates/
  13.    wt: 6:   12 Comparison of Unsigned and Signed Numbers/
  14.    wt: 5:   7 Complex Numbers/
  15.    wt: 5:   5 What is Similarity/
  16.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  17.    wt: 5:   Geometry maps plans trigonometry vectors/
  18.    wt: 5:   10 LCM GCD and Euclid GCD Algorithm/
  19.    wt: 4:   11 Squares and Square Roots/
  20.    wt: 4:   A Decimal Counting and Adding Methods/
  21.    wt: 4:   1 Decimal Place Value/
  22.    wt: 3:   9 Combinatorics Trees Tables and Products/
  23.    wt: 3:   8 Arithmetic with Signed Numbers/
  24.    wt: 3:   7 Arithmetic and Fractions with Units/
  25.    wt: 3:   6 Fractions and Ratios/
  26.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  27.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  28.    wt: 3:   13 Lessons on Limits and Continuity/
  29.    wt: 2:   5 Factored Polynomial Sign Analysis Examples/
  30.    wt: 2:   10 Examples of Algebraic Reasoning/
  31.    wt: 2:   Step 1 Stick diagram and fractions/
  32.    wt: 2:   5 Integers/
  33.    wt: 2:   3 Prime Factorization Skills/
  34.    wt: 2:   D Decimal Long Division Methods/
  35.    wt: 2:   C Decimal Multiplication Methods/
  36.    wt: 2:   2 Arithmetic with Decimals/
  37.    wt: 2:   Arithmetic and Number Theory Skills/
  38.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  39.    wt: 1:   1 Five Polynomial Operations/
  40.    wt: 1:   A Origins of Counting and Figuring Methods/
  41.    wt: 1:   9 Proportionality Backwards and Forwards/
  42.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  43.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  44.    wt: 1:   4 Computation Rules and Function Notation/
  45.    wt: 1:   1 Working With Sets/
  46.    wt: 1:   Work and Study Tips/
  47.    wt: 1:   Resources and Reciprocal Links/
  48.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

339 matches:

  1.    wt: 4:   3 Lengths and Areas on Maps and Plans
  2.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  3.    wt: 3:   sign monoticity analysis example 4
  4.    wt: 3:   sign monoticity analysis example 3
  5.    wt: 3:   sign monoticity analysis example 2
  6.    wt: 3:   sign monoticity analysis example 1
  7.    wt: 3:   3 signed coordinates for maps and planes
  8.    wt: 3:   2 signed and unsigned numbers as coordinates
  9.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  10.    wt: 2:   Maps Plans Drawings
  11.    wt: 2:   15 Sign analysis of functions
  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:   Right Triangle and Unit Circle Trigonometry
  15.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  16.    wt: 2:   4 Angles on Maps Plans drawn to scale
  17.    wt: 2:   19 Signed Multiples of Vectors
  18.    wt: 2:   13 Arrows and Vectors in a Plane
  19.    wt: 2:   11 Signed Number Addition and Addition Properties
  20.    wt: 2:   3 More and Less Than with Unlike Signs
  21.    wt: 2:   2 More and Less Than for Counts and Measures
  22.    wt: 2:   10 Real Number Lengths and Signs
  23.    wt: 2:   8 Coordinates for Maps and Planes
  24.    wt: 2:   2 More and Less Than with Unlike Signs
  25.    wt: 2:   1 More and Less Than for Counts and Measures
  26.    wt: 2:   5 lengths and signs of numbers
  27.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  28.    wt: 2:   5 Zero Movement and Additive Inverses
  29.    wt: 2:   6. Counting and adding units and mixed units
  30.    wt: 2:   015 School and work day counting tables
  31.    wt: 2:   38 Formulas and derivatives for powers and roots
  32.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  33.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  34.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  35.    wt: 2:   Chapter 4. More Slope Sign Analysis
  36.    wt: 2:   Chapter 3. Slope Sign Analysis
  37.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  38.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  39.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  40.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  41.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  42.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  43.    wt: 1:   Appendix 2 primary school Arithmetic 01
  44.    wt: 1:   Appendix 1 primary and preschool mathematic
  45.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  46.    wt: 1:   7 logic review and decimals an odd combination
  47.    wt: 1:   5 logarithms and exponentials etc
  48.    wt: 1:   2 arithmetic with signed numbers
  49.    wt: 1:   1 arithmetic with unsigned numbers
  50.    wt: 1:   About site lesson plans
  51.    wt: 1:   key notes and themes
  52.    wt: 1:   what should be learnt and When
  53.    wt: 1:   Postscript 2007 01 10
  54.    wt: 1:   standards for course material
  55.    wt: 1:   Education in mathematics science and technology
  56.    wt: 1:   Motivation and Context Problem
  57.    wt: 1:   fairness and inductive principles for instruction
  58.    wt: 1:   chapitre 07 01 principle D induction mathematique
  59.    wt: 1:   chapitre 04 01 Premiere enigme
  60.    wt: 1:   chapitre 01 00 Introduction
  61.    wt: 1:   A Energy Power01
  62.    wt: 1:   1 Conductance Resistance Duality01
  63.    wt: 1:   C Wire Resistance Calculation01
  64.    wt: 1:   A Wire Resistance Qualitative01
  65.    wt: 1:   2 Unlike resistors in parallel01
  66.    wt: 1:   G Series Circuit01
  67.    wt: 1:   B Electromotive force conventional current01
  68.    wt: 1:   Home Tutoring and Home Schooling
  69.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  70.    wt: 1:   24 Standards For Skill Develoment Take II
  71.    wt: 1:   24 Standards For Skill Develoment
  72.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  73.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  74.    wt: 1:   17 Math Booklets for children and young teenagers
  75.    wt: 1:   14 Multiplication and Times Tables
  76.    wt: 1:   13 Addition and Addition Tables
  77.    wt: 1:   12 Goals and Objectives For Mathematics
  78.    wt: 1:   11 Help and Defend Your Child or Teens Education
  79.    wt: 1:   5 Patience Please for Yourself and Your Charges
  80.    wt: 1:   4 Learning Takes Time and Effort
  81.    wt: 1:   2 Reading and Writing Skills
  82.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  83.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  84.    wt: 1:   26 Function definitions done and coming
  85.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  86.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  87.    wt: 1:   19 Horizontal line rule and method
  88.    wt: 1:   18 Vertical Line Rule and Method
  89.    wt: 1:   17 Function maxima minima and their location
  90.    wt: 1:   11 Function Domain Range Source and Targets
  91.    wt: 1:   8 Set view of relations and functions
  92.    wt: 1:   6 Set Existence Formation and Notation
  93.    wt: 1:   4 Function notation in and beyond mathematics
  94.    wt: 1:   9 quadratics physical and further context
  95.    wt: 1:   11 Growth and Decay in Biology
  96.    wt: 1:   10 Exponential Growth and Decay Models
  97.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  98.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  99.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  100.    wt: 1:   16 cotangent function Definition Graph and Inverse
  101.    wt: 1:   15 cosecant function Definition Graph and Inverse
  102.    wt: 1:   14 secant function Definition Graph and Inverse
  103.    wt: 1:   13 cosecant function Definition Graph and Inverse
  104.    wt: 1:   9 Summary Degrees to Radians and back
  105.    wt: 1:   1 Degrees and Radians Introduction
  106.    wt: 1:   A Global Time and Navigation
  107.    wt: 1:   15 Dot and Cross Product
  108.    wt: 1:   13 Velocity Vectors in Physics
  109.    wt: 1:   8 Parallel Vectors
  110.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  111.    wt: 1:   6 Vectors with Coordinates
  112.    wt: 1:   3 Navigation with Arrows or Vectors
  113.    wt: 1:   2 Signed Coordinates
  114.    wt: 1:   1 Unsigned Coordinates
  115.    wt: 1:   Vector and Complex Number Applet
  116.    wt: 1:   Parallel Lines and Parallel Transversals
  117.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  118.    wt: 1:   Parallel Lines and Interior Angles
  119.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  120.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  121.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  122.    wt: 1:   29 secant cosecant and cotangent for acute angles
  123.    wt: 1:   27 Logarithmic use of products of sines and cosines
  124.    wt: 1:   26 Formulas for products of sines and cosines
  125.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  126.    wt: 1:   21 sine and cosine Half Angle Formulas
  127.    wt: 1:   20 sine and cosine Double Angle Formulas
  128.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  129.    wt: 1:   17E Trig Formulas for dot and cross Products
  130.    wt: 1:   17D cis formulas for sine cosines and tangent
  131.    wt: 1:   17C sine and cosine double triple angle formulas
  132.    wt: 1:   10 Graphs of sines and cosines many periods
  133.    wt: 1:   9 Graphs of sine and cosine over one period
  134.    wt: 1:   7 period of sine and cosine
  135.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  136.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  137.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  138.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  139.    wt: 1:   Unit Circle Development of Trigonometry
  140.    wt: 1:   21 Logarithms Powers and Exponentials
  141.    wt: 1:   16 References and Originality Question
  142.    wt: 1:   13 Trig Formulas for dot and cross Products
  143.    wt: 1:   12 cis formulas for sine cosines and tangent
  144.    wt: 1:   11 sine and cosine double triple angle formulas
  145.    wt: 1:   8 Unit Circle Development of Trigonometry
  146.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  147.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  148.    wt: 1:   3 Trigonometric Ratios sine and cosine
  149.    wt: 1:   Why Trigonometry the whyslopes view
  150.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  151.    wt: 1:   8 Similarity of Triangles and Polygons
  152.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  153.    wt: 1:   3 Similarity by Design with coordinates
  154.    wt: 1:   2 Similarity By Design
  155.    wt: 1:   10 Midpoint of [a b] and [b a]
  156.    wt: 1:   7 Exercises to test skill and concept mastery
  157.    wt: 1:   1 Numerical view of lines and their equations
  158.    wt: 1:   What is and is not here
  159.    wt: 1:   6 Polar Multiplication and Rotation
  160.    wt: 1:   5 Cartesian Addition and Translation
  161.    wt: 1:   4 Polar Coordinates to and from
  162.    wt: 1:   2 Cartesian Coordinates with signs
  163.    wt: 1:   1 Cartesian Coordinates sans signs
  164.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  165.    wt: 1:   16 Angles Subtended By Chords and Diameters
  166.    wt: 1:   6 Ruler and compass Angle Bisection
  167.    wt: 1:   1 Initial Concepts and Terms
  168.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  169.    wt: 1:   6 Figuring with Maps Not to Scale
  170.    wt: 1:   A Modular and Remainder Arithmetic
  171.    wt: 1:   A Signed Number Arithmetic Review
  172.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  173.    wt: 1:   22 Multiplication of Signed Numbers
  174.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  175.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  176.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  177.    wt: 1:   12 Real Numbers Line Signed Coordinates
  178.    wt: 1:   8 Division and Mulplication of Compound Fractions
  179.    wt: 1:   B Decimal Comparison and Subtraction
  180.    wt: 1:   2 Combing Counts Addition Skills and Principles
  181.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  182.    wt: 1:   4 Rates Ratios and Proporitionality
  183.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  184.    wt: 1:   6 Compound Interest Forward and Backwards
  185.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  186.    wt: 1:   6 Equations and Systems Equivalent or Implied
  187.    wt: 1:   4 Subtraction and Division Axioms
  188.    wt: 1:   2 Addition and Multiplication Axioms
  189.    wt: 1:   5 Greater More Less Than Signs in General
  190.    wt: 1:   6 Unsigned Real Numbers
  191.    wt: 1:   1 Whole and Natural Numbers
  192.    wt: 1:   3 Geometric Formulas and Function Notation
  193.    wt: 1:   1 Formulas Dependence and Function Notation
  194.    wt: 1:   3 GE III Equation Addition and Multiplication
  195.    wt: 1:   1 Proper Equal Sign Usage
  196.    wt: 1:   1 Written work formats for developing and showing skill
  197.    wt: 1:   9 Sets in Probability and Statistics
  198.    wt: 1:   5 Talking about Numbers and Quantities
  199.    wt: 1:   4 A Brief Story of numbers and algebra
  200.    wt: 1:   4 Greater More Less Than Signs in General
  201.    wt: 1:   1 Squares and Square Roots Introduction
  202.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  203.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  204.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  205.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  206.    wt: 1:   7 GCD and LCM from prime factorization
  207.    wt: 1:   4 LCM of 8 and 10 via Prime
  208.    wt: 1:   3 Counting with Tables and Trees II
  209.    wt: 1:   2 Counting with Tables and Trees I
  210.    wt: 1:   1 Counting and Counting Methods I
  211.    wt: 1:   11 What are real lengths and numbers
  212.    wt: 1:   10 dividing signed numbers
  213.    wt: 1:   9 subtracting signed numbers
  214.    wt: 1:   8 multiplying signed numbers
  215.    wt: 1:   7 negative and additive inverse
  216.    wt: 1:   6 adding signed numbers
  217.    wt: 1:   4 signed coordinates for regions in space
  218.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  219.    wt: 1:   3 Multiplying Units and Numbers
  220.    wt: 1:   2 Equality and Units
  221.    wt: 1:   1 Addition and Subtraction with Units
  222.    wt: 1:   B Fractions and Two Term Ratios
  223.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  224.    wt: 1:   21 Working With Signs
  225.    wt: 1:   21 Reciprocals for Fractions and Wholes
  226.    wt: 1:   17 Efficient Ways to Add and Subtract
  227.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  228.    wt: 1:   14 Adding and Subtracting with Like Denominators
  229.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  230.    wt: 1:   9 Improper Fractions and Mixed Numbers
  231.    wt: 1:   11 Adding Integers Formulas and Examples
  232.    wt: 1:   8 Multiplication by Signed Numbers Integers
  233.    wt: 1:   7 Multiplication by Signs
  234.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  235.    wt: 1:   17 Identify and Count Factors using Primes
  236.    wt: 1:   12 LCD GCD and LCM using Primes
  237.    wt: 1:   7 Calculator Usage Notes and Cautions
  238.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  239.    wt: 1:   5 Prime Factorization and a Square Rule
  240.    wt: 1:   3 video Primes and Composites from 9 times table
  241.    wt: 1:   2 Prime and Composites less than 16
  242.    wt: 1:   Division with Counts and Length
  243.    wt: 1:   Long Division forwards and backwards Example 3
  244.    wt: 1:   Long Division forwards and backwards Example 2
  245.    wt: 1:   Long Division forwards and backwards Example 1
  246.    wt: 1:   10 Division by Five Long and Short Ways
  247.    wt: 1:   5 Long Division Include Zeroes or not
  248.    wt: 1:   4 Two and Three Digit Multipliers
  249.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  250.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  251.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  252.    wt: 1:   8 What skills and work habits to require
  253.    wt: 1:   11 Place Value SI Standard International way
  254.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  255.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  256.    wt: 1:   Quick history of numbers and algebra
  257.    wt: 1:   Exact Arithmetic Wholes and Fractions
  258.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  259.    wt: 1:   016 Numbering Occidental Calendar Days
  260.    wt: 1:   014 Counting Days with Calendars
  261.    wt: 1:   013 Travel Time Tables
  262.    wt: 1:   012 Division of Time Intervals by Time Intervals
  263.    wt: 1:   011 Division of Time Intervals By Numbers
  264.    wt: 1:   010 Repeated Addition of Time Intervals
  265.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  266.    wt: 1:   4 Mixing and Changing Units of Time
  267.    wt: 1:   3 Units and Lengths of Time
  268.    wt: 1:   2 Time and Date Matters in School
  269.    wt: 1:   Example 1. Area Between x and x squared
  270.    wt: 1:   17 Derivatives of quotients of sine and cosine
  271.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  272.    wt: 1:   15 sine and cosine derivatives 3rd step
  273.    wt: 1:   14 sine and cosine derivatives 2nd step
  274.    wt: 1:   13 sine and cosine derivatives 1st step
  275.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  276.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  277.    wt: 1:   9 Limits Continuity and Composition
  278.    wt: 1:   5 Jumps and absence of unlimited error control
  279.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  280.    wt: 1:   PostScript For and Against Decimal Perspectives
  281.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  282.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  283.    wt: 1:   Chapter 23 Links To Trigonometry
  284.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  285.    wt: 1:   Chapter 12. Units and Slopes
  286.    wt: 1:   Chapter 10 Slopes and Units
  287.    wt: 1:   Chapter 7 Slopes and Velocity
  288.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  289.    wt: 1:   Chapter 5. Slope Sign Tests
  290.    wt: 1:   Chapter 2. Slopes and Ski Trails
  291.    wt: 1:   Appendix E. How To Study Mathematics and Why
  292.    wt: 1:   Appendix D. What to do in School and Why
  293.    wt: 1:   Chapter 31 Direct and Indirect Reason
  294.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  295.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  296.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  297.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  298.    wt: 1:   Chapter 20. Degrees and Radians
  299.    wt: 1:   Chapter 19. Functions and Sets
  300.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  301.    wt: 1:   Chapter 12. Shorthand Usage Guide
  302.    wt: 1:   Chapter 11. Why Shorthand
  303.    wt: 1:   Chapter 10 Describing and Changing Calculations
  304.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  305.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  306.    wt: 1:   Chapter 2 For and Against Mathematics
  307.    wt: 1:   Postscript B More on Story Telling and Reason
  308.    wt: 1:   Chapter 24 Direct and Indirect Reason
  309.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  310.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  311.    wt: 1:   Chapter 18 Sense and Knowledge
  312.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  313.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  314.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  315.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  316.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  317.    wt: 1:   O On Learning Mathematics and Science
  318.    wt: 1:   N Improving Marks on Tests and Finals
  319.    wt: 1:   J. More on written work and showing skill
  320.    wt: 1:   I. Logic and language skills
  321.    wt: 1:   H Jigsaw puzzles and problem solving
  322.    wt: 1:   G. Written work formats for developing and showing skill
  323.    wt: 1:   E. When and how to correct errors
  324.    wt: 1:   How to Build Skills and Confidence
  325.    wt: 1:   Chapter 8 Skipped Topics and Why
  326.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  327.    wt: 1:   Chapter 6 More Algebra and Geometry
  328.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  329.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  330.    wt: 1:   7 Games and Activities for Instruction
  331.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  332.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  333.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  334.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  335.    wt: 1:   Helping the Blind in Logic and Mathematics
  336.    wt: 1:   More Algebra and Slope based Calculus Preview
  337.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  338.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  339.    wt: 1:   The Math Forum and Site Content

Extended Search

830 matches:

  1.    wt: 9:   1 Degrees and Radians Introduction
  2.    wt: 9:   15 Dot and Cross Product
  3.    wt: 9:   13 Velocity Vectors in Physics
  4.    wt: 9:   Construction Methods and Criteria for Isometric and Similar Triangles
  5.    wt: 9:   14 cosine even and sine and tangent are odd
  6.    wt: 9:   4 sines and cosines for reference angle 45 degrees
  7.    wt: 9:   1 Numerical view of lines and their equations
  8.    wt: 9:   1 Cartesian Coordinates sans signs
  9.    wt: 9:   A Measurement with Ruler Proper Use
  10.    wt: 9:   5 Drawing to Scale Avoids Angle Distortions
  11.    wt: 9:   2 Measuring Area Directly
  12.    wt: 8:   9 Summary Degrees to Radians and back
  13.    wt: 8:   A Global Time and Navigation
  14.    wt: 8:   14 Why Scalar Multiplication Distributes Physical Argument
  15.    wt: 8:   12 From Applied To Pure Mathematics
  16.    wt: 8:   11 Component Method
  17.    wt: 8:   10 Parallelogram Addition Method
  18.    wt: 8:   8 Parallel Vectors
  19.    wt: 8:   7 Coordinate Addition and Scalar Multiplication
  20.    wt: 8:   6 Vectors with Coordinates
  21.    wt: 8:   3 Navigation with Arrows or Vectors
  22.    wt: 8:   2 Signed Coordinates
  23.    wt: 8:   Vector and Complex Number Applet
  24.    wt: 8:   1 graphing y=f(x a)
  25.    wt: 8:   Parallel Lines and Parallel Transversals
  26.    wt: 8:   Parallel Lines and Alternating Corresponding Angles
  27.    wt: 8:   Parallel Lines and Interior Angles
  28.    wt: 8:   35 sines and cosines of 2A 3A 4A 5A
  29.    wt: 8:   34 sines and cosines of 2A 3A 4A 5A
  30.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  31.    wt: 8:   29 secant cosecant and cotangent for acute angles
  32.    wt: 8:   27 Logarithmic use of products of sines and cosines
  33.    wt: 8:   26 Formulas for products of sines and cosines
  34.    wt: 8:   23 sine and cosine of 180 plus 22.5 degrees
  35.    wt: 8:   21 sine and cosine Half Angle Formulas
  36.    wt: 8:   20 sine and cosine Double Angle Formulas
  37.    wt: 8:   19 Pythagorean Identity For sine and cosine functions
  38.    wt: 8:   17E Trig Formulas for dot and cross Products
  39.    wt: 8:   17D cis formulas for sine cosines and tangent
  40.    wt: 8:   17C sine and cosine double triple angle formulas
  41.    wt: 8:   13 Graph of tangent function many periods
  42.    wt: 8:   10 Graphs of sines and cosines many periods
  43.    wt: 8:   9 Graphs of sine and cosine over one period
  44.    wt: 8:   7 period of sine and cosine
  45.    wt: 8:   6 sines and cosines for reference angle 30 degrees
  46.    wt: 8:   5 sines and cosines for reference angle 60 degrees
  47.    wt: 8:   3 sines and cosines for reference angle 90 degrees
  48.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  49.    wt: 8:   1 Angle Measurement with Degrees
  50.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  51.    wt: 8:   10 Midpoint of [a b] and [b a]
  52.    wt: 8:   1 Initial Concepts and Terms
  53.    wt: 8:   2 More and Less Than with Unlike Signs
  54.    wt: 7:   16 cotangent function Definition Graph and Inverse
  55.    wt: 7:   15 cosecant function Definition Graph and Inverse
  56.    wt: 7:   14 secant function Definition Graph and Inverse
  57.    wt: 7:   13 cosecant function Definition Graph and Inverse
  58.    wt: 7:   9 motivation for name arcsin
  59.    wt: 7:   8 arcsin left inverse of sine Graph
  60.    wt: 7:   7 arcsin left inverse of sine Definition
  61.    wt: 7:   6 Graph of arccos function
  62.    wt: 7:   5 Swapping Coordinates is a reflection
  63.    wt: 7:   4 possible motivation for term arccos
  64.    wt: 7:   3 Left Inverse of cosine arccos definition
  65.    wt: 7:   2 cosine function more properties
  66.    wt: 7:   1 cosine function properties
  67.    wt: 7:   8 Radian Measures of Common Angles
  68.    wt: 7:   7 Radian Measures in special Triangles
  69.    wt: 7:   6 Radian Measure to Degrees
  70.    wt: 7:   5 Degrees to Radian Measure
  71.    wt: 7:   4 Circle Sector Area proportional to Central Angle
  72.    wt: 7:   3 Circle Arclengh Proportional to Central Angle
  73.    wt: 7:   2 Radian Measure Numerical Value of one degree
  74.    wt: 7:   9 Head to Tail Coordinate View
  75.    wt: 7:   5 Head To Tail Arrow Addition
  76.    wt: 7:   4 Resultant of a Sum of Movements
  77.    wt: 7:   4 graphing y=Asin(x c)
  78.    wt: 7:   3 graphing y=f(x c) plus K
  79.    wt: 7:   2 Graphing y=Af(x) Vertical Scaling
  80.    wt: 7:   Proportionality of Line Segments From Parallel Transversals
  81.    wt: 7:   Triangle Angles Sum To 180 Degrees
  82.    wt: 7:   SAS Method For Isometric Or Proportional Triangle Construction
  83.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  84.    wt: 7:   Straight Lines ASA Intersection Study More
  85.    wt: 7:   Straight Lines ASA Intersection Study
  86.    wt: 7:   Straight Lines Instersection Solving Equations
  87.    wt: 7:   Straight Lines Intersection of
  88.    wt: 7:   1 Straight Lines Slope Concept
  89.    wt: 7:   32 seven rows of pascals triangle
  90.    wt: 7:   31 basic secant cosecant cotangent trig identities
  91.    wt: 7:   30 unit circle calculation of six trigonometric functions
  92.    wt: 7:   28 Expressing products of sines cosines as sums
  93.    wt: 7:   25 tangent double angle formula Slope connection
  94.    wt: 7:   24 tangent Angle Difference Formula
  95.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  96.    wt: 7:   18 sum of sinusoidal waves as a single wave
  97.    wt: 7:   17G Pythagorean Theorem Converse
  98.    wt: 7:   17F Law of cosines
  99.    wt: 7:   17B sine cosine Angle Sum Formulas via cis
  100.    wt: 7:   17A The complex number valued trig function cis
  101.    wt: 7:   16 Right Triangle Complementary Angle Relations
  102.    wt: 7:   15 sine cosine Complementary Angle Relations
  103.    wt: 7:   12 Graph of tangent function for one period
  104.    wt: 7:   11 tangent function undefined when terminal side vertical
  105.    wt: 7:   8 period of tangent function
  106.    wt: 7:   Unit Circle Development of Trigonometry
  107.    wt: 7:   16 References and Originality Question
  108.    wt: 7:   13 Trig Formulas for dot and cross Products
  109.    wt: 7:   12 cis formulas for sine cosines and tangent
  110.    wt: 7:   11 sine and cosine double triple angle formulas
  111.    wt: 7:   1 Rectangular Polar Coordinates Review
  112.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  113.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  114.    wt: 7:   3 Trigonometric Ratios sine and cosine
  115.    wt: 7:   Why Trigonometry the whyslopes view
  116.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  117.    wt: 7:   12 Links Lessons elsewhere
  118.    wt: 7:   11 A Partial Summary
  119.    wt: 7:   7 Exercises to test skill and concept mastery
  120.    wt: 7:   What is and is not here
  121.    wt: 7:   13 Pythagorean spatial distance formulas
  122.    wt: 7:   12 Spatial Coordinates
  123.    wt: 7:   11 Triangle Inequality
  124.    wt: 7:   10 Pythagorean plane distance formula
  125.    wt: 7:   6 Polar Multiplication and Rotation
  126.    wt: 7:   5 Cartesian Addition and Translation
  127.    wt: 7:   4 Polar Coordinates to and from
  128.    wt: 7:   2 Cartesian Coordinates with signs
  129.    wt: 7:   16 Angles Subtended By Chords and Diameters
  130.    wt: 7:   4 Greater More Less Than Signs in General
  131.    wt: 7:   7 GCD and LCM from prime factorization
  132.    wt: 7:   11 Place Value SI Standard International way
  133.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  134.    wt: 6:   12 motivation for term arctan
  135.    wt: 6:   11 arctan left inverse of tangent Graph
  136.    wt: 6:   10 arctan left inverse of tangent Definition
  137.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  138.    wt: 6:   C Straight Lines Slope from Coordinates
  139.    wt: 6:   B Straight Line Slope Scaling Properties More
  140.    wt: 6:   A Straight Line Slope Scaling Properties
  141.    wt: 6:   14 Straight Lines Equations General Case
  142.    wt: 6:   13 Straight Lines Finding Equations from 2 points
  143.    wt: 6:   12 Straight Lines Graphing mx plus b
  144.    wt: 6:   11 Straight Lines Graphing y=mx
  145.    wt: 6:   10 Straight Lines through Origin Equations More
  146.    wt: 6:   9 Straight Lines through Origin Equations
  147.    wt: 6:   8 Straight Lines Equation for vertical
  148.    wt: 6:   7 Tangent Function is odd on this domain
  149.    wt: 6:   6 Tangent Function Inclination Angle Take 2
  150.    wt: 6:   5 Tangent Function Graph
  151.    wt: 6:   4 Tangent Function Properties
  152.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  153.    wt: 6:   2 Straight Lines Slopes As Rise Over Run
  154.    wt: 6:   17 tangent function angle sum formulas
  155.    wt: 6:   2 Quadrant I reference Angles
  156.    wt: 6:   1 Unit Points Reflections Rotations
  157.    wt: 6:   21 Logarithms Powers and Exponentials
  158.    wt: 6:   19 N th Roots of Unity
  159.    wt: 6:   18 Sixth Roots of Unity
  160.    wt: 6:   17 Cube Roots of unity
  161.    wt: 6:   15 Pythagorean Theorem Converse
  162.    wt: 6:   14 Law of cosines
  163.    wt: 6:   10 sine cosine Angle Sum Formulas via cis
  164.    wt: 6:   8 Unit Circle Development of Trigonometry
  165.    wt: 6:   8 Triangles Cascade Problem Solving
  166.    wt: 6:   7 Trignometric Ratios Unit Circle
  167.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  168.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  169.    wt: 6:   12 Triangles Similarity More Problems
  170.    wt: 6:   11 Triangle Similarity Missing Side Problem
  171.    wt: 6:   10 Similarity of Triangles Equivalent of Two Criteria
  172.    wt: 6:   8 Similarity of Triangles and Polygons
  173.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  174.    wt: 6:   3 Similarity by Design with coordinates
  175.    wt: 6:   2 Similarity By Design
  176.    wt: 6:   1 Early Concept of Like or Similar Shapes
  177.    wt: 6:   Four Simple Exercises
  178.    wt: 6:   9 Midpoint Coordinates Half Endpoint Sum
  179.    wt: 6:   8 Mid Point Formula
  180.    wt: 6:   6 Intersection of lines by solving linear systems
  181.    wt: 6:   5 Algebraic View of Slopes
  182.    wt: 6:   4 Equations for lines three forms
  183.    wt: 6:   3 Slope product for perpendicular lines
  184.    wt: 6:   2 point slope equation for a line
  185.    wt: 6:   9 Pythagorean Theorem Chinese Square Proof
  186.    wt: 6:   8 Distance Between Points on a Line
  187.    wt: 6:   7 Complex Numbers Appetizer
  188.    wt: 6:   3 Rectangular Coordinates Review
  189.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  190.    wt: 6:   19 Right Triangle Similarity
  191.    wt: 6:   18 Triangle Similarity Take 1
  192.    wt: 6:   17 Right Bisectors of Triangle Sides
  193.    wt: 6:   15 Triangle Angle Sum is 180 degrees
  194.    wt: 6:   14 Parallel Lines Postulate
  195.    wt: 6:   13 Angle Side Angle Failure
  196.    wt: 6:   12 Side Angle Side Failure
  197.    wt: 6:   11 Triangle Construction Fails
  198.    wt: 6:   10 Dropping a perpendicular to line
  199.    wt: 6:   6 Ruler and compass Angle Bisection
  200.    wt: 6:   3 Comparison of Negative Numbers
  201.    wt: 6:   1 Squares and Square Roots Introduction
  202.    wt: 6:   17 GCD LCM of 85 and 60 via Prime
  203.    wt: 6:   16 GCD and LCM of 650 225 via Prime
  204.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  205.    wt: 6:   10 Euclid Algorithm with 129 125 and with 45 14
  206.    wt: 6:   9 GCD of 360 110 via Primes and Euclid Algorithm
  207.    wt: 6:   4 LCM of 8 and 10 via Prime
  208.    wt: 6:   11 What are real lengths and numbers
  209.    wt: 6:   10 dividing signed numbers
  210.    wt: 6:   3 signed coordinates for maps and planes
  211.    wt: 6:   2 signed and unsigned numbers as coordinates
  212.    wt: 6:   1 Comparison and Subtraction Easy Direct Cases
  213.    wt: 6:   6. Counting and adding units and mixed units
  214.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  215.    wt: 6:   13 Limits with Parameters and Derivatives Take II
  216.    wt: 6:   12 Limits with Parameters and Derivatives Take I
  217.    wt: 5:   sign monoticity analysis example 4
  218.    wt: 5:   sign monoticity analysis example 3
  219.    wt: 5:   sign monoticity analysis example 2
  220.    wt: 5:   sign monoticity analysis example 1
  221.    wt: 5:   20 N th Roots of Complex Numbers
  222.    wt: 5:   9 The complex number valued trig function cis
  223.    wt: 5:   7 Second Way to Calculate Products
  224.    wt: 5:   6 Field Properties of Complex Number
  225.    wt: 5:   5 An Easy Proof of the Distributive Law
  226.    wt: 5:   4 Multiplication Properties
  227.    wt: 5:   3 Addition Properties
  228.    wt: 5:   2 Complex Numbers made easier we hope
  229.    wt: 5:   Appetizer A Complex Number Applet
  230.    wt: 5:   9 Similarity of Triangles Usual Criteria
  231.    wt: 5:   7 Translations Rotations Reflections Dilatations
  232.    wt: 5:   6 Geometric Diagrams in Class
  233.    wt: 5:   4 Similarity Definition with Coordinate
  234.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  235.    wt: 5:   PS H Distributive Law For Complex Numbers
  236.    wt: 5:   PS G Rotation Distributes over Addition
  237.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  238.    wt: 5:   PS E Multiplication with Polar Coordinates
  239.    wt: 5:   PS D Addition with Cartesian Coordinates
  240.    wt: 5:   PS B Parallelogram Construction Methods
  241.    wt: 5:   PS A Kite Construction Methods
  242.    wt: 5:   21 Parallelograms
  243.    wt: 5:   9 Construction of a right bisector
  244.    wt: 5:   8 Isoceles Triangles
  245.    wt: 5:   7 Angle Side Angle
  246.    wt: 5:   5 Side Angle Side
  247.    wt: 5:   4 Side Side Side
  248.    wt: 5:   3 Isometry of Triangles Congruence
  249.    wt: 5:   2 Correspondence between Triangles
  250.    wt: 5:   Short Course on Euclidean Geometry
  251.    wt: 5:   About Folder Contents
  252.    wt: 5:   5 Square Roots with primes more still
  253.    wt: 5:   4 Square Roots with primes more
  254.    wt: 5:   3 Properties of Square Roots with example
  255.    wt: 5:   2 Square Roots with Prime
  256.    wt: 5:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  257.    wt: 5:   13 GCD from given Prime Factorization
  258.    wt: 5:   11 GCD 2700 288 via Euclid Algorithm
  259.    wt: 5:   8 GCD from Euclidean Algorithm
  260.    wt: 5:   6 GCD from Prime
  261.    wt: 5:   5 Common Divisors 60 45 via Prime
  262.    wt: 5:   LCM 60 45 Avoid List Method Use Prime
  263.    wt: 5:   2 Least Common Multiple LCM intro via list method
  264.    wt: 5:   1 Least Common Multiples LCM Introduction
  265.    wt: 5:   12 GCD 2700 288 via Prime
  266.    wt: 5:   5 lengths and signs of numbers
  267.    wt: 5:   5 Reciprocals and Division for Fractions with Units
  268.    wt: 5:   3 Multiplying Units and Numbers
  269.    wt: 5:   2 Equality and Units
  270.    wt: 5:   1 Addition and Subtraction with Units
  271.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  272.    wt: 5:   17 Efficient Ways to Add and Subtract
  273.    wt: 5:   8 What skills and work habits to require
  274.    wt: 5:   1. Explaining Addition Table
  275.    wt: 5:   8 Review Lesson 1 2 4 and 6 All in One
  276.    wt: 5:   11 Limits at infinity Three Examples
  277.    wt: 5:   10 Three one sided limits with infinite values
  278.    wt: 5:   9 Limits Continuity and Composition
  279.    wt: 5:   1 Numerical introduction
  280.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  281.    wt: 4:   15 Sign analysis of functions
  282.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  283.    wt: 4:   1 Formulas Dependence and Function Notation
  284.    wt: 4:   3 Counting with Tables and Trees II
  285.    wt: 4:   2 Counting with Tables and Trees I
  286.    wt: 4:   1 Counting and Counting Methods I
  287.    wt: 4:   9 subtracting signed numbers
  288.    wt: 4:   8 multiplying signed numbers
  289.    wt: 4:   7 negative and additive inverse
  290.    wt: 4:   6 adding signed numbers
  291.    wt: 4:   4 signed coordinates for regions in space
  292.    wt: 4:   7 Converting or Changing Units
  293.    wt: 4:   6 Simplification of Fractions with Units
  294.    wt: 4:   4 Fractions with Units
  295.    wt: 4:   B Fractions and Two Term Ratios
  296.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  297.    wt: 4:   21 Working With Signs
  298.    wt: 4:   21 Reciprocals for Fractions and Wholes
  299.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  300.    wt: 4:   14 Adding and Subtracting with Like Denominators
  301.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  302.    wt: 4:   9 Improper Fractions and Mixed Numbers
  303.    wt: 4:   1 What is a fraction Take II
  304.    wt: 4:   1 What is a fraction
  305.    wt: 4:   11 Adding Integers Formulas and Examples
  306.    wt: 4:   5 Zero Movement and Additive Inverses
  307.    wt: 4:   1 Integers as Coordinates
  308.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  309.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  310.    wt: 4:   17 Identify and Count Factors using Primes
  311.    wt: 4:   12 LCD GCD and LCM using Primes
  312.    wt: 4:   1 video how Products are bigger than factor
  313.    wt: 4:   10 Division by Five Long and Short Ways
  314.    wt: 4:   1 Divsion Physical Examples
  315.    wt: 4:   1 Why 3 times 5 gives 15
  316.    wt: 4:   Subtraction with J Conversions Example
  317.    wt: 4:   Subtraction Another Video Lesson
  318.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  319.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  320.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  321.    wt: 4:   7 Adding decimal fractions using decimal point
  322.    wt: 4:   5. How to add decimals C. Examples
  323.    wt: 4:   4. How to add with decimals B with conversions
  324.    wt: 4:   3. How to add with decimals A sans conversions
  325.    wt: 4:   2 Decimal Counting Practices
  326.    wt: 4:   9 Place Value Review Decimal form of Avogrados number included
  327.    wt: 4:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  328.    wt: 4:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  329.    wt: 4:   5 More on Groups of 3 Place Value in Decimal Fractions
  330.    wt: 4:   4 Groups of 3 Place Value in Decimal Fractions
  331.    wt: 4:   3 More on Groups of 3 Multi Digit Place Value
  332.    wt: 4:   2 Groups of Three Place Value for Multidigit Decimals
  333.    wt: 4:   5 Jumps and absence of unlimited error control
  334.    wt: 3:   1 Conductance Resistance Duality01
  335.    wt: 3:   19 Horizontal line rule and method
  336.    wt: 3:   18 Vertical Line Rule and Method
  337.    wt: 3:   17 Function maxima minima and their location
  338.    wt: 3:   11 Function Domain Range Source and Targets
  339.    wt: 3:   11 Growth and Decay in Biology
  340.    wt: 3:   10 Exponential Growth and Decay Models
  341.    wt: 3:   19 Signed Multiples of Vectors
  342.    wt: 3:   13 Arrows and Vectors in a Plane
  343.    wt: 3:   11 Signed Number Addition and Addition Properties
  344.    wt: 3:   1 The Counting Origins of Numbers
  345.    wt: 3:   1 What is Proportionality
  346.    wt: 3:   3 More and Less Than with Unlike Signs
  347.    wt: 3:   2 More and Less Than for Counts and Measures
  348.    wt: 3:   10 Real Number Lengths and Signs
  349.    wt: 3:   8 Coordinates for Maps and Planes
  350.    wt: 3:   3 Geometric Formulas and Function Notation
  351.    wt: 3:   1 Proper Equal Sign Usage
  352.    wt: 3:   10 One Example
  353.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  354.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  355.    wt: 3:   4 Counting with Trees Product Rule Take I
  356.    wt: 3:   D Three Term Ratios
  357.    wt: 3:   22 Complex Compound Fractions
  358.    wt: 3:   20 Dividing Fractions the Why
  359.    wt: 3:   19 Dividing Fractions How TO
  360.    wt: 3:   18 Efficient Ways to Multiply
  361.    wt: 3:   16 Addition Subtraction Comparision Compared
  362.    wt: 3:   13 Fraction Comparison Algebraic View
  363.    wt: 3:   12 Fraction Comparison
  364.    wt: 3:   11 Simplification an Algebraic View
  365.    wt: 3:   8 Numerals Fractionals Quantals Take II
  366.    wt: 3:   7 Numerals Fractionals Quantals
  367.    wt: 3:   6 Multiplication of Mixed Numbers
  368.    wt: 3:   6 Multiplication Algebraically Take II
  369.    wt: 3:   5 Equivalent Fractions
  370.    wt: 3:   4 Fraction Multiplication
  371.    wt: 3:   3 Unit fraction of a fraction
  372.    wt: 3:   2 Unit Fraction Multiplication
  373.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  374.    wt: 3:   13 Subtraction with Additive Inverse
  375.    wt: 3:   12 Adding Integers More Examples
  376.    wt: 3:   10 Integer Multiplication Formulas
  377.    wt: 3:   8 Multiplication by Signed Numbers Integers
  378.    wt: 3:   7 Multiplication by Signs
  379.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  380.    wt: 3:   26 Divisibility by 2 3 5 Example
  381.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  382.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  383.    wt: 3:   23 Remainder Arithmetic Modulo 2
  384.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  385.    wt: 3:   21 Remainder Arithmetic Modulo 3
  386.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  387.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  388.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  389.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  390.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  391.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  392.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  393.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  394.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  395.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  396.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  397.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  398.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  399.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  400.    wt: 3:   5 Remainder Arithmetic Modulo 5
  401.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  402.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  403.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  404.    wt: 3:   1 Remainder Arithmetic Modulo 10
  405.    wt: 3:   19 video Prime Factorization Unique
  406.    wt: 3:   18 video Count Factors given Prime Factorization
  407.    wt: 3:   16 video Factors of 980 using prime
  408.    wt: 3:   15 video Factors of 20 using Prime Factorization
  409.    wt: 3:   14 video Factors of 24 Take II
  410.    wt: 3:   13 video Factors of 24 using prime
  411.    wt: 3:   11 Efficient Square Rule Use
  412.    wt: 3:   10 video Prime Factorization upto 23 squared
  413.    wt: 3:   7 Calculator Usage Notes and Cautions
  414.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  415.    wt: 3:   5 Prime Factorization and a Square Rule
  416.    wt: 3:   3 video Primes and Composites from 9 times table
  417.    wt: 3:   2 Prime and Composites less than 16
  418.    wt: 3:   Division with Counts and Length
  419.    wt: 3:   Long Division forwards and backwards Example 3
  420.    wt: 3:   Long Division forwards and backwards Example 2
  421.    wt: 3:   Long Division forwards and backwards Example 1
  422.    wt: 3:   12 Why Long Division Works Take III
  423.    wt: 3:   11 Another Single Digit Divisor Example
  424.    wt: 3:   5 Long Division Include Zeroes or not
  425.    wt: 3:   4 Two and Three Digit Multipliers
  426.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  427.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  428.    wt: 3:   Video Power Notation in Decimal Expansion
  429.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  430.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  431.    wt: 3:   9 22 Minute Subtraction Review Video
  432.    wt: 3:   8 Subtraction with Units of Measure
  433.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  434.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  435.    wt: 3:   5 A Tip for Efficent Subtraction
  436.    wt: 3:   2 Subtraction Easy Case Examples
  437.    wt: 3:   Quick history of numbers and algebra
  438.    wt: 3:   Exact Arithmetic Wholes and Fractions
  439.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  440.    wt: 3:   015 School and work day counting tables
  441.    wt: 3:   Example 1. Area Between x and x squared
  442.    wt: 3:   Area Between Curves Lesson Take 2
  443.    wt: 3:   Area Between Curves Lesson Take 1
  444.    wt: 3:   8 Four Animated Examples
  445.    wt: 3:   7 Evaluation by immediate or delayed substitution
  446.    wt: 3:   6 Continuity at a point
  447.    wt: 3:   4 Numerical properties
  448.    wt: 3:   3 Decimal insights for limits continuity convergence
  449.    wt: 3:   2 Algebraic codification
  450.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  451.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  452.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  453.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  454.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  455.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  456.    wt: 2:   10 statistics
  457.    wt: 2:   1 arithmetic with unsigned numbers
  458.    wt: 2:   key notes and themes
  459.    wt: 2:   Maps Plans Drawings
  460.    wt: 2:   C Wire Resistance Calculation01
  461.    wt: 2:   A Wire Resistance Qualitative01
  462.    wt: 2:   2 Unlike resistors in parallel01
  463.    wt: 2:   1 Like resistors in series
  464.    wt: 2:   Home Tutoring and Home Schooling
  465.    wt: 2:   17 Math Booklets for children and young teenagers
  466.    wt: 2:   14 Multiplication and Times Tables
  467.    wt: 2:   13 Addition and Addition Tables
  468.    wt: 2:   12 Goals and Objectives For Mathematics
  469.    wt: 2:   11 Help and Defend Your Child or Teens Education
  470.    wt: 2:   1 Speaking Skills
  471.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  472.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  473.    wt: 2:   16 Increasing or decreasing on intervals
  474.    wt: 2:   14 Surjections Injections Bijections
  475.    wt: 2:   13 From one to one to many to one
  476.    wt: 2:   12 Function Domain Recognition Exercises
  477.    wt: 2:   10 Interval Notation
  478.    wt: 2:   1 Geometric Introduction of Function Notation
  479.    wt: 2:   1 Calculator Starter Exercises
  480.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  481.    wt: 2:   1 Polynomials Distributive Law
  482.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  483.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  484.    wt: 2:   12 Real Numbers Line Signed Coordinates
  485.    wt: 2:   8 Division and Mulplication of Compound Fractions
  486.    wt: 2:   1 Fractions with Finite Decimal Expansions
  487.    wt: 2:   B Decimal Comparison and Subtraction
  488.    wt: 2:   2 Combing Counts Addition Skills and Principles
  489.    wt: 2:   5 Areas of Rectangles Revisited
  490.    wt: 2:   4 Fraction Operations Axiomatic Development
  491.    wt: 2:   3 Inequalities Algebraically
  492.    wt: 2:   2 Fraction Operations Physical Development
  493.    wt: 2:   4 Rates Ratios and Proporitionality
  494.    wt: 2:   6 Equations and Systems Equivalent or Implied
  495.    wt: 2:   4 Subtraction and Division Axioms
  496.    wt: 2:   2 Addition and Multiplication Axioms
  497.    wt: 2:   1 Equivalent Computation Rules
  498.    wt: 2:   5 Greater More Less Than Signs in General
  499.    wt: 2:   1 Real Numbers Comparison
  500.    wt: 2:   6 Unsigned Real Numbers
  501.    wt: 2:   1 Whole and Natural Numbers
  502.    wt: 2:   5 Independent versus Dependent Variables
  503.    wt: 2:   4 Changing Letters
  504.    wt: 2:   2 Computation Rules Evaluation
  505.    wt: 2:   1 GE Substitution four examples
  506.    wt: 2:   1 Essentially One Unknown
  507.    wt: 2:   Skill Development Notes
  508.    wt: 2:   9 Three Examples
  509.    wt: 2:   8 One Example
  510.    wt: 2:   7 Two Examples
  511.    wt: 2:   6 Three Examples
  512.    wt: 2:   5 Three Examples
  513.    wt: 2:   4 Two Examples
  514.    wt: 2:   3 Two Examples
  515.    wt: 2:   2 Three Examples
  516.    wt: 2:   1 Written work formats for developing and showing skill
  517.    wt: 2:   9 Sets in Probability and Statistics
  518.    wt: 2:   1 Finite Sets
  519.    wt: 2:   5 Talking about Numbers and Quantities
  520.    wt: 2:   4 A Brief Story of numbers and algebra
  521.    wt: 2:   1 Three Skills For Algebra
  522.    wt: 2:   arithmetic videos Real Player Format
  523.    wt: 2:   D Remainders Modulo 11 Pair Rule
  524.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  525.    wt: 2:   B Integer Long Division Multiple Choices
  526.    wt: 2:   A Associative Law Theorectical Note
  527.    wt: 2:   9 Multiplying Integers
  528.    wt: 2:   6 Multiplication by Natural Numbers
  529.    wt: 2:   4 Adding Movements wiht opposite directions
  530.    wt: 2:   3 Adding Movements with same direction
  531.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  532.    wt: 2:   20 Uniqueness of Prime Factorization
  533.    wt: 2:   9 video Prime Factorization upto 19 squared
  534.    wt: 2:   8 video Prime Factorization upto 19
  535.    wt: 2:   4 video Prime Factorization Introduction
  536.    wt: 2:   Long Division Backwards more
  537.    wt: 2:   Long Division Backward
  538.    wt: 2:   9 Why Long Division Works Take II
  539.    wt: 2:   8 Correcting the Mistake
  540.    wt: 2:   7 Long Divison Mistake Catching
  541.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  542.    wt: 2:   4 Division with 2 Digit Divsors
  543.    wt: 2:   3 Division Single Digit Divisor Example
  544.    wt: 2:   2 Division with Single Digit Divisors
  545.    wt: 2:   D Decimal Multiplication Methods Derived
  546.    wt: 2:   C Counting Areas with Powers of Ten
  547.    wt: 2:   B Powers of Ten
  548.    wt: 2:   A Elementary Basis for Multiplication Methods
  549.    wt: 2:   6 Multiplication Commutes Order Not Important
  550.    wt: 2:   5 Decimal Fraction Multiplication
  551.    wt: 2:   3 More One Digit Multipliers
  552.    wt: 2:   2 One Digit Multipliers
  553.    wt: 2:   Formula Evaluation how to show work
  554.    wt: 2:   Expression Evaluation how to show work
  555.    wt: 2:   The 20 Times Table
  556.    wt: 2:   The 12 Times Table Visually
  557.    wt: 2:   About folder contents
  558.    wt: 2:   016 Numbering Occidental Calendar Days
  559.    wt: 2:   014 Counting Days with Calendars
  560.    wt: 2:   013 Travel Time Tables
  561.    wt: 2:   012 Division of Time Intervals by Time Intervals
  562.    wt: 2:   011 Division of Time Intervals By Numbers
  563.    wt: 2:   010 Repeated Addition of Time Intervals
  564.    wt: 2:   Example 2 volume of a cone
  565.    wt: 2:   Example 1 volume of a pyramid
  566.    wt: 2:   Volume of Solid by Cross Sections Lesson
  567.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  568.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  569.    wt: 2:   Example 4 with x function of y
  570.    wt: 2:   Example 3
  571.    wt: 2:   Example 2
  572.    wt: 2:   Example 1
  573.    wt: 2:   Summary
  574.    wt: 2:   38 Formulas and derivatives for powers and roots
  575.    wt: 2:   17 Derivatives of quotients of sine and cosine
  576.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  577.    wt: 2:   15 sine and cosine derivatives 3rd step
  578.    wt: 2:   14 sine and cosine derivatives 2nd step
  579.    wt: 2:   13 sine and cosine derivatives 1st step
  580.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  581.    wt: 2:   PostScript For and Against Decimal Perspectives
  582.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  583.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  584.    wt: 2:   Chapter 4. More Slope Sign Analysis
  585.    wt: 2:   Chapter 3. Slope Sign Analysis
  586.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  587.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  588.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  589.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  590.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  591.    wt: 2:   O On Learning Mathematics and Science
  592.    wt: 2:   N Improving Marks on Tests and Finals
  593.    wt: 2:   J. More on written work and showing skill
  594.    wt: 2:   I. Logic and language skills
  595.    wt: 2:   H Jigsaw puzzles and problem solving
  596.    wt: 2:   G. Written work formats for developing and showing skill
  597.    wt: 2:   E. When and how to correct errors
  598.    wt: 2:   A. Skill has to be seen to believed
  599.    wt: 2:   How to Build Skills and Confidence
  600.    wt: 2:   7 Games and Activities for Instruction
  601.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  602.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  603.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  604.    wt: 1:   Appendix 2 primary school Arithmetic 01
  605.    wt: 1:   Appendix 1 primary and preschool mathematic
  606.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  607.    wt: 1:   Skills Chapter 5 Calculus
  608.    wt: 1:   Skills Chapter 4 Logic
  609.    wt: 1:   Ramblings Extrinsic numbers theory
  610.    wt: 1:   Ramblings Introduction Algebra Essay
  611.    wt: 1:   Skills Chapter 3 Algebra
  612.    wt: 1:   Skills Chapter 2 Geometry
  613.    wt: 1:   Skills Chapter 1 Arithmetic
  614.    wt: 1:   Skills Chapter 0 Introduction
  615.    wt: 1:   11 pure mathematics
  616.    wt: 1:   7 logic review and decimals an odd combination
  617.    wt: 1:   5 logarithms and exponentials etc
  618.    wt: 1:   2 arithmetic with signed numbers
  619.    wt: 1:   which way to go
  620.    wt: 1:   activities for students
  621.    wt: 1:   About site lesson plans
  622.    wt: 1:   Mathematics Education Professors
  623.    wt: 1:   what should be learnt and When
  624.    wt: 1:   Postscript 2007 01 10
  625.    wt: 1:   five decades make a difference
  626.    wt: 1:   05 13 OldSiteEntrancePage
  627.    wt: 1:   04 29 New Mathematics Curriculum
  628.    wt: 1:   04 25 when to stop or suspend mathemat
  629.    wt: 1:   02 21 words for teachers
  630.    wt: 1:   02 20 mathematics education references
  631.    wt: 1:   three aims for mathematics students
  632.    wt: 1:   standards for course material
  633.    wt: 1:   Education in mathematics science and technology
  634.    wt: 1:   cultivating intelligence
  635.    wt: 1:   Four ways to improve education reform
  636.    wt: 1:   Motivation and Context Problem
  637.    wt: 1:   fairness and inductive principles for instruction
  638.    wt: 1:   chapitre 07 01 principle D induction mathematique
  639.    wt: 1:   chapitre 04 01 Premiere enigme
  640.    wt: 1:   chapitre 01 00 Introduction
  641.    wt: 1:   problemes responses
  642.    wt: 1:   problemes algebre et arithmetique
  643.    wt: 1:   1 Energy Power Heat06
  644.    wt: 1:   A Energy Power01
  645.    wt: 1:   F Wire Resistance Calculation04
  646.    wt: 1:   E Wire Resistance Calculation03
  647.    wt: 1:   D Wire Resistance Calculation02
  648.    wt: 1:   B Wire Resistance Qualitative02
  649.    wt: 1:   3 Like resistors in parallel
  650.    wt: 1:   G Series Circuit01
  651.    wt: 1:   B Electromotive force conventional current01
  652.    wt: 1:   A Circuit Elements
  653.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  654.    wt: 1:   24 Standards For Skill Develoment Take II
  655.    wt: 1:   24 Standards For Skill Develoment
  656.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  657.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  658.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  659.    wt: 1:   18 Primary School Mathematics
  660.    wt: 1:   16 Secondary Mathematics Tips
  661.    wt: 1:   15 Counting For Parents
  662.    wt: 1:   10 Ends values for work study instruction
  663.    wt: 1:   5 Patience Please for Yourself and Your Charges
  664.    wt: 1:   4 Learning Takes Time and Effort
  665.    wt: 1:   2 Reading and Writing Skills
  666.    wt: 1:   26 Function definitions done and coming
  667.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  668.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  669.    wt: 1:   8 Set view of relations and functions
  670.    wt: 1:   6 Set Existence Formation and Notation
  671.    wt: 1:   4 Function notation in and beyond mathematics
  672.    wt: 1:   9 quadratics physical and further context
  673.    wt: 1:   1 quadratics graphing exercises
  674.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  675.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  676.    wt: 1:   8 Notes for instructors or tutors
  677.    wt: 1:   7 Links Lessons Elsewhere
  678.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  679.    wt: 1:   4 Polynomials Long division linear divisor
  680.    wt: 1:   3 Polynomials Multiplication Addition
  681.    wt: 1:   2 Column Multiplication Method
  682.    wt: 1:   A Modular and Remainder Arithmetic
  683.    wt: 1:   A Signed Number Arithmetic Review
  684.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  685.    wt: 1:   22 Multiplication of Signed Numbers
  686.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  687.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  688.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  689.    wt: 1:   15 Head to Tails in place Addition Associative
  690.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  691.    wt: 1:   9 Division with Digits after Decimal Point
  692.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  693.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  694.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  695.    wt: 1:   4 Location of Point in Decimal Addition
  696.    wt: 1:   3 Location of Point in Decimal Multiplication
  697.    wt: 1:   2 Counting Digits in Decimal Multiplication
  698.    wt: 1:   E Long Division Methods more
  699.    wt: 1:   D Long Division Methods
  700.    wt: 1:   C Three Decimal Subtraction Methods
  701.    wt: 1:   A Decimal Addition Columm Methods
  702.    wt: 1:   8 Column Multiplication Methods in General
  703.    wt: 1:   7 Decimals Multiplication Methods Examples
  704.    wt: 1:   6 Column Methods for Decimal Multiplication
  705.    wt: 1:   5 Distributive Law for Whole Numbers
  706.    wt: 1:   4 Commutative Law Groups Counting Form
  707.    wt: 1:   3 Multiplicative Counting Skills Principles
  708.    wt: 1:   5 Proportionality in Equivalent Fractions
  709.    wt: 1:   3 Proportionality Examples
  710.    wt: 1:   2 Algebraic View
  711.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  712.    wt: 1:   6 Compound Interest Forward and Backwards
  713.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  714.    wt: 1:   1 Changing Calculations
  715.    wt: 1:   5 Equality in Algebra
  716.    wt: 1:   3 Product Axioms Two Forms
  717.    wt: 1:   4 Comparison of Negative Numbers
  718.    wt: 1:   16 Real Numbers Comparison
  719.    wt: 1:   15 Real Number Division
  720.    wt: 1:   14 Real Number Multiplication
  721.    wt: 1:   13 Real Number Subtraction
  722.    wt: 1:   12 Real Number Additive Inverses or Negatives
  723.    wt: 1:   11 Real Number Addition
  724.    wt: 1:   9 Coordinates for Regions in Space
  725.    wt: 1:   7 Real Numbers as Line Cordinates
  726.    wt: 1:   3 GE III Equation Addition and Multiplication
  727.    wt: 1:   Using Letters for Physical Quantities
  728.    wt: 1:   13 Naming Identifying Formulas with Words
  729.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  730.    wt: 1:   11 Volume of Sphere
  731.    wt: 1:   10 Volume of Pyramid
  732.    wt: 1:   8 Sets of Numbers
  733.    wt: 1:   7 Cautious or Safe Set Construction
  734.    wt: 1:   6 Power Set Notation
  735.    wt: 1:   5 Product Builder Notation
  736.    wt: 1:   4 Subset Builder Notation
  737.    wt: 1:   3 Counting with Sets etc
  738.    wt: 1:   2 Venn Diagrams
  739.    wt: 1:   6 Three Notions of What is a Variable
  740.    wt: 1:   3 Adding Words To Arithmetic
  741.    wt: 1:   2 What is a Variable
  742.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  743.    wt: 1:   4 Mixing and Changing Units of Time
  744.    wt: 1:   3 Units and Lengths of Time
  745.    wt: 1:   2 Time and Date Matters in School
  746.    wt: 1:   1 Intro of Kids To Time Date Skills
  747.    wt: 1:   A Related Material in Volume 3
  748.    wt: 1:   1 Chain Rule in Reverse Integration Method
  749.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  750.    wt: 1:   19 Chain Rule for linear functions
  751.    wt: 1:   18 Chain Rule Introduction
  752.    wt: 1:   12 Quotient rule examples
  753.    wt: 1:   11 Quotient rule
  754.    wt: 1:   10 Power rule for negative integers
  755.    wt: 1:   3 Motivation for Limit Definition Take 2
  756.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  757.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  758.    wt: 1:   A1. Introduction
  759.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  760.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  761.    wt: 1:   Chapter 23 Links To Trigonometry
  762.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  763.    wt: 1:   Chapter 12. Units and Slopes
  764.    wt: 1:   Chapter 10 Slopes and Units
  765.    wt: 1:   Chapter 7 Slopes and Velocity
  766.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  767.    wt: 1:   Chapter 5. Slope Sign Tests
  768.    wt: 1:   Chapter 2. Slopes and Ski Trails
  769.    wt: 1:   Chapter 1.Introduction
  770.    wt: 1:   Foreword
  771.    wt: 1:   Appendix E. How To Study Mathematics and Why
  772.    wt: 1:   Appendix D. What to do in School and Why
  773.    wt: 1:   Chapter 31 Direct and Indirect Reason
  774.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  775.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  776.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  777.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  778.    wt: 1:   Chapter 20. Degrees and Radians
  779.    wt: 1:   Chapter 19. Functions and Sets
  780.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  781.    wt: 1:   Chapter 12. Shorthand Usage Guide
  782.    wt: 1:   Chapter 11. Why Shorthand
  783.    wt: 1:   Chapter 10 Describing and Changing Calculations
  784.    wt: 1:   Solutions For Arithmetic Exercises
  785.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  786.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  787.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  788.    wt: 1:   Chapter 2 For and Against Mathematics
  789.    wt: 1:   Chapter 1 Introduction
  790.    wt: 1:   Postscript B More on Story Telling and Reason
  791.    wt: 1:   Chapter 24 Direct and Indirect Reason
  792.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  793.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  794.    wt: 1:   Chapter 18 Sense and Knowledge
  795.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  796.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  797.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  798.    wt: 1:   Chapter 1 Introduction
  799.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  800.    wt: 1:   S Adding words to algebra
  801.    wt: 1:   R Why Learn Mathematics Skills
  802.    wt: 1:   N Mathematics Prepare for College Studies
  803.    wt: 1:   M Words to extend arithmetic
  804.    wt: 1:   L Skills with take home value
  805.    wt: 1:   H more Routine to non routine problem solving
  806.    wt: 1:   F. The student teacher tutor feedback loop
  807.    wt: 1:   D. Check work a must with a caution
  808.    wt: 1:   C. Domino effect of being careful
  809.    wt: 1:   B. Domino effect of errors
  810.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  811.    wt: 1:   Chapter 8 Skipped Topics and Why
  812.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  813.    wt: 1:   Chapter 6 More Algebra and Geometry
  814.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  815.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  816.    wt: 1:   Chapter 1 Arithmetic
  817.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  818.    wt: 1:   Helping the Blind in Logic and Mathematics
  819.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  820.    wt: 1:   More Algebra and Slope based Calculus Preview
  821.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  822.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  823.    wt: 1:   The Math Forum and Site Content
  824.    wt: 13:   3 Lengths and Areas on Maps and Plans
  825.    wt: 11:   4 Angles on Maps Plans drawn to scale
  826.    wt: 10:   1 Unsigned Coordinates
  827.    wt: 10:   8 More Use of Maps Not Drawn to Scale
  828.    wt: 10:   6 Figuring with Maps Not to Scale
  829.    wt: 10:   1 Length Measurement
  830.    wt: 10:   1 More and Less Than for Counts and Measures
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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