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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50 matches:

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

Web Page Search

333 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:   25 Absolute Value greatest integer and saw tooth functions
  4.    wt: 3:   14 cosine even and sine and tangent are odd
  5.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  6.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  7.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  8.    wt: 2:   Maps Plans Drawings
  9.    wt: 2:   14 Multiplication and Times Tables
  10.    wt: 2:   Ages 12 to 14 Skills with take home value
  11.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  12.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  13.    wt: 2:   14 secant function Definition Graph and Inverse
  14.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  15.    wt: 2:   14 Straight Lines Equations General Case
  16.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  17.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  18.    wt: 2:   1 Numerical view of lines and their equations
  19.    wt: 2:   4 Angles on Maps Plans drawn to scale
  20.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  21.    wt: 2:   13 Arrows and Vectors in a Plane
  22.    wt: 2:   6 Equations and Systems Equivalent or Implied
  23.    wt: 2:   2 More and Less Than for Counts and Measures
  24.    wt: 2:   8 Coordinates for Maps and Planes
  25.    wt: 2:   1 More and Less Than for Counts and Measures
  26.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  27.    wt: 2:   3 signed coordinates for maps and planes
  28.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  29.    wt: 2:   14 Adding and Subtracting with Like Denominators
  30.    wt: 2:   6. Counting and adding units and mixed units
  31.    wt: 2:   11 Place Value SI Standard International way
  32.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  33.    wt: 2:   38 Formulas and derivatives for powers and roots
  34.    wt: 2:   14 sine and cosine derivatives 2nd step
  35.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  36.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  37.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  38.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  39.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  40.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  41.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  42.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  43.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  44.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  45.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  46.    wt: 1:   Appendix 1 primary and preschool mathematic
  47.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  48.    wt: 1:   7 logic review and decimals an odd combination
  49.    wt: 1:   5 logarithms and exponentials etc
  50.    wt: 1:   Applied Maths Program14092009 POMME variant
  51.    wt: 1:   About site lesson plans
  52.    wt: 1:   key notes and themes
  53.    wt: 1:   what should be learnt and When
  54.    wt: 1:   standards for course material
  55.    wt: 1:   Operational Viewpoint to Value
  56.    wt: 1:   Education in mathematics science and technology
  57.    wt: 1:   Motivation and Context Problem
  58.    wt: 1:   fairness and inductive principles for instruction
  59.    wt: 1:   Home Tutoring and Home Schooling
  60.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  61.    wt: 1:   24 Standards For Skill Develoment Take II
  62.    wt: 1:   24 Standards For Skill Develoment
  63.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  64.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  65.    wt: 1:   17 Math Booklets for children and young teenagers
  66.    wt: 1:   13 Addition and Addition Tables
  67.    wt: 1:   12 Goals and Objectives For Mathematics
  68.    wt: 1:   11 Help and Defend Your Child or Teens Education
  69.    wt: 1:   10 Ends values for work study instruction
  70.    wt: 1:   5 Patience Please for Yourself and Your Charges
  71.    wt: 1:   4 Learning Takes Time and Effort
  72.    wt: 1:   2 Reading and Writing Skills
  73.    wt: 1:   Ages 12 to 14 Geometry
  74.    wt: 1:   Ages 12 to 14 Arithmetic
  75.    wt: 1:   26 Function definitions done and coming
  76.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  77.    wt: 1:   19 Horizontal line rule and method
  78.    wt: 1:   18 Vertical Line Rule and Method
  79.    wt: 1:   17 Function maxima minima and their location
  80.    wt: 1:   14 Surjections Injections Bijections
  81.    wt: 1:   11 Function Domain Range Source and Targets
  82.    wt: 1:   8 Set view of relations and functions
  83.    wt: 1:   6 Set Existence Formation and Notation
  84.    wt: 1:   4 Function notation in and beyond mathematics
  85.    wt: 1:   9 quadratics physical and further context
  86.    wt: 1:   11 Growth and Decay in Biology
  87.    wt: 1:   10 Exponential Growth and Decay Models
  88.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  89.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  90.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  91.    wt: 1:   16 cotangent function Definition Graph and Inverse
  92.    wt: 1:   15 cosecant function Definition Graph and Inverse
  93.    wt: 1:   13 cosecant function Definition Graph and Inverse
  94.    wt: 1:   9 Summary Degrees to Radians and back
  95.    wt: 1:   2 Radian Measure Numerical Value of one degree
  96.    wt: 1:   1 Degrees and Radians Introduction
  97.    wt: 1:   A Global Time and Navigation
  98.    wt: 1:   15 Dot and Cross Product
  99.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  100.    wt: 1:   13 Velocity Vectors in Physics
  101.    wt: 1:   8 Parallel Vectors
  102.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  103.    wt: 1:   6 Vectors with Coordinates
  104.    wt: 1:   3 Navigation with Arrows or Vectors
  105.    wt: 1:   Vector and Complex Number Applet
  106.    wt: 1:   Parallel Lines and Parallel Transversals
  107.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  108.    wt: 1:   Parallel Lines and Interior Angles
  109.    wt: 1:   Straight Lines Instersection Solving Equations
  110.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  111.    wt: 1:   10 Straight Lines through Origin Equations More
  112.    wt: 1:   9 Straight Lines through Origin Equations
  113.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  114.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  115.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  116.    wt: 1:   29 secant cosecant and cotangent for acute angles
  117.    wt: 1:   27 Logarithmic use of products of sines and cosines
  118.    wt: 1:   26 Formulas for products of sines and cosines
  119.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  120.    wt: 1:   21 sine and cosine Half Angle Formulas
  121.    wt: 1:   20 sine and cosine Double Angle Formulas
  122.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  123.    wt: 1:   17E Trig Formulas for dot and cross Products
  124.    wt: 1:   17D cis formulas for sine cosines and tangent
  125.    wt: 1:   17C sine and cosine double triple angle formulas
  126.    wt: 1:   17A The complex number valued trig function cis
  127.    wt: 1:   10 Graphs of sines and cosines many periods
  128.    wt: 1:   9 Graphs of sine and cosine over one period
  129.    wt: 1:   7 period of sine and cosine
  130.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  131.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  132.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  133.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  134.    wt: 1:   Unit Circle Development of Trigonometry
  135.    wt: 1:   21 Logarithms Powers and Exponentials
  136.    wt: 1:   16 References and Originality Question
  137.    wt: 1:   14 Law of cosines
  138.    wt: 1:   13 Trig Formulas for dot and cross Products
  139.    wt: 1:   12 cis formulas for sine cosines and tangent
  140.    wt: 1:   11 sine and cosine double triple angle formulas
  141.    wt: 1:   9 The complex number valued trig function cis
  142.    wt: 1:   8 Unit Circle Development of Trigonometry
  143.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  144.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  145.    wt: 1:   3 Trigonometric Ratios sine and cosine
  146.    wt: 1:   Why Trigonometry the whyslopes view
  147.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  148.    wt: 1:   8 Similarity of Triangles and Polygons
  149.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  150.    wt: 1:   10 Midpoint of [a b] and [b a]
  151.    wt: 1:   7 Exercises to test skill and concept mastery
  152.    wt: 1:   4 Equations for lines three forms
  153.    wt: 1:   What is and is not here
  154.    wt: 1:   6 Polar Multiplication and Rotation
  155.    wt: 1:   5 Cartesian Addition and Translation
  156.    wt: 1:   4 Polar Coordinates to and from
  157.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  158.    wt: 1:   16 Angles Subtended By Chords and Diameters
  159.    wt: 1:   14 Parallel Lines Postulate
  160.    wt: 1:   6 Ruler and compass Angle Bisection
  161.    wt: 1:   1 Initial Concepts and Terms
  162.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  163.    wt: 1:   6 Figuring with Maps Not to Scale
  164.    wt: 1:   A Modular and Remainder Arithmetic
  165.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  166.    wt: 1:   19 Signed Multiples of Vectors
  167.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  168.    wt: 1:   11 Signed Number Addition and Addition Properties
  169.    wt: 1:   8 Division and Mulplication of Compound Fractions
  170.    wt: 1:   B Decimal Comparison and Subtraction
  171.    wt: 1:   2 Combing Counts Addition Skills and Principles
  172.    wt: 1:   3 Inequalities Algebraically
  173.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  174.    wt: 1:   4 Rates Ratios and Proporitionality
  175.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  176.    wt: 1:   6 Compound Interest Forward and Backwards
  177.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  178.    wt: 1:   4 Subtraction and Division Axioms
  179.    wt: 1:   2 Addition and Multiplication Axioms
  180.    wt: 1:   3 More and Less Than with Unlike Signs
  181.    wt: 1:   14 Real Number Multiplication
  182.    wt: 1:   10 Real Number Lengths and Signs
  183.    wt: 1:   1 Whole and Natural Numbers
  184.    wt: 1:   3 Geometric Formulas and Function Notation
  185.    wt: 1:   1 Formulas Dependence and Function Notation
  186.    wt: 1:   3 GE III Equation Addition and Multiplication
  187.    wt: 1:   1 Written work formats for developing and showing skill
  188.    wt: 1:   9 Sets in Probability and Statistics
  189.    wt: 1:   5 Talking about Numbers and Quantities
  190.    wt: 1:   4 A Brief Story of numbers and algebra
  191.    wt: 1:   2 More and Less Than with Unlike Signs
  192.    wt: 1:   1 Squares and Square Roots Introduction
  193.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  194.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  195.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  196.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  197.    wt: 1:   7 GCD and LCM from prime factorization
  198.    wt: 1:   4 LCM of 8 and 10 via Prime
  199.    wt: 1:   3 Counting with Tables and Trees II
  200.    wt: 1:   2 Counting with Tables and Trees I
  201.    wt: 1:   1 Counting and Counting Methods I
  202.    wt: 1:   11 What are real lengths and numbers
  203.    wt: 1:   7 negative and additive inverse
  204.    wt: 1:   5 lengths and signs of numbers
  205.    wt: 1:   2 signed and unsigned numbers as coordinates
  206.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  207.    wt: 1:   3 Multiplying Units and Numbers
  208.    wt: 1:   2 Equality and Units
  209.    wt: 1:   1 Addition and Subtraction with Units
  210.    wt: 1:   B Fractions and Two Term Ratios
  211.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  212.    wt: 1:   21 Reciprocals for Fractions and Wholes
  213.    wt: 1:   17 Efficient Ways to Add and Subtract
  214.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  215.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  216.    wt: 1:   9 Improper Fractions and Mixed Numbers
  217.    wt: 1:   11 Adding Integers Formulas and Examples
  218.    wt: 1:   5 Zero Movement and Additive Inverses
  219.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  220.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  221.    wt: 1:   17 Identify and Count Factors using Primes
  222.    wt: 1:   14 video Factors of 24 Take II
  223.    wt: 1:   12 LCD GCD and LCM using Primes
  224.    wt: 1:   7 Calculator Usage Notes and Cautions
  225.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  226.    wt: 1:   5 Prime Factorization and a Square Rule
  227.    wt: 1:   3 video Primes and Composites from 9 times table
  228.    wt: 1:   2 Prime and Composites less than 16
  229.    wt: 1:   Division with Counts and Length
  230.    wt: 1:   Long Division forwards and backwards Example 3
  231.    wt: 1:   Long Division forwards and backwards Example 2
  232.    wt: 1:   Long Division forwards and backwards Example 1
  233.    wt: 1:   10 Division by Five Long and Short Ways
  234.    wt: 1:   4 Two and Three Digit Multipliers
  235.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  236.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  237.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  238.    wt: 1:   8 What skills and work habits to require
  239.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  240.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  241.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  242.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  243.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  244.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  245.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  246.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  247.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  248.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  249.    wt: 1:   Quick history of numbers and algebra
  250.    wt: 1:   Exact Arithmetic Wholes and Fractions
  251.    wt: 1:   015 School and work day counting tables
  252.    wt: 1:   014 Counting Days with Calendars
  253.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  254.    wt: 1:   4 Mixing and Changing Units of Time
  255.    wt: 1:   3 Units and Lengths of Time
  256.    wt: 1:   2 Time and Date Matters in School
  257.    wt: 1:   Example 1. Area Between x and x squared
  258.    wt: 1:   17 Derivatives of quotients of sine and cosine
  259.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  260.    wt: 1:   15 sine and cosine derivatives 3rd step
  261.    wt: 1:   13 sine and cosine derivatives 1st step
  262.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  263.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  264.    wt: 1:   10 Three one sided limits with infinite values
  265.    wt: 1:   9 Limits Continuity and Composition
  266.    wt: 1:   5 Jumps and absence of unlimited error control
  267.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  268.    wt: 1:   F.5b Extreme Value Theorem
  269.    wt: 1:   F.3 Intermediate Value Theorem
  270.    wt: 1:   E1 Error Control Inequalities
  271.    wt: 1:   C Triangle Inequalities
  272.    wt: 1:   PostScript For and Against Decimal Perspectives
  273.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  274.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  275.    wt: 1:   Chapter 23 Links To Trigonometry
  276.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  277.    wt: 1:   Chapter 12. Units and Slopes
  278.    wt: 1:   Chapter 10 Slopes and Units
  279.    wt: 1:   Chapter 7 Slopes and Velocity
  280.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  281.    wt: 1:   Chapter 2. Slopes and Ski Trails
  282.    wt: 1:   Appendix E. How To Study Mathematics and Why
  283.    wt: 1:   Appendix D. What to do in School and Why
  284.    wt: 1:   Chapter 31 Direct and Indirect Reason
  285.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  286.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  287.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  288.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  289.    wt: 1:   Chapter 20. Degrees and Radians
  290.    wt: 1:   Chapter 19. Functions and Sets
  291.    wt: 1:   Chapter 15. Solving Linear Equations
  292.    wt: 1:   Chapter 12. Shorthand Usage Guide
  293.    wt: 1:   Chapter 11. Why Shorthand
  294.    wt: 1:   Chapter 10 Describing and Changing Calculations
  295.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  296.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  297.    wt: 1:   Chapter 2 For and Against Mathematics
  298.    wt: 1:   Postscript B More on Story Telling and Reason
  299.    wt: 1:   Chapter 24 Direct and Indirect Reason
  300.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  301.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  302.    wt: 1:   Chapter 18 Sense and Knowledge
  303.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  304.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  305.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  306.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  307.    wt: 1:   O On Learning Mathematics and Science
  308.    wt: 1:   L Skills with take home value
  309.    wt: 1:   N Improving Marks on Tests and Finals
  310.    wt: 1:   J. More on written work and showing skill
  311.    wt: 1:   I. Logic and language skills
  312.    wt: 1:   H Jigsaw puzzles and problem solving
  313.    wt: 1:   G. Written work formats for developing and showing skill
  314.    wt: 1:   E. When and how to correct errors
  315.    wt: 1:   How to Build Skills and Confidence
  316.    wt: 1:   Chapter 8 Skipped Topics and Why
  317.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  318.    wt: 1:   Chapter 6 More Algebra and Geometry
  319.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  320.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  321.    wt: 1:   7 Games and Activities for Instruction
  322.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  323.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  324.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  325.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  326.    wt: 1:   Helping the Blind in Logic and Mathematics
  327.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  328.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  329.    wt: 1:   More Algebra and Slope based Calculus Preview
  330.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  331.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  332.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  333.    wt: 1:   The Math Forum and Site Content

Extended Search

730 matches:

  1.    wt: 9:   9 Summary Degrees to Radians and back
  2.    wt: 9:   2 Radian Measure Numerical Value of one degree
  3.    wt: 9:   1 Degrees and Radians Introduction
  4.    wt: 9:   14 cosine even and sine and tangent are odd
  5.    wt: 9:   4 Angles on Maps Plans drawn to scale
  6.    wt: 8:   8 Radian Measures of Common Angles
  7.    wt: 8:   7 Radian Measures in special Triangles
  8.    wt: 8:   6 Radian Measure to Degrees
  9.    wt: 8:   5 Degrees to Radian Measure
  10.    wt: 8:   4 Circle Sector Area proportional to Central Angle
  11.    wt: 8:   3 Circle Arclengh Proportional to Central Angle
  12.    wt: 8:   14 Why Scalar Multiplication Distributes Physical Argument
  13.    wt: 8:   Construction Methods and Criteria for Isometric and Similar Triangles
  14.    wt: 8:   14 Straight Lines Equations General Case
  15.    wt: 8:   4 sines and cosines for reference angle 45 degrees
  16.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  17.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  18.    wt: 8:   1 Numerical view of lines and their equations
  19.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  20.    wt: 8:   6 Figuring with Maps Not to Scale
  21.    wt: 7:   14 secant function Definition Graph and Inverse
  22.    wt: 7:   A Global Time and Navigation
  23.    wt: 7:   15 Dot and Cross Product
  24.    wt: 7:   13 Velocity Vectors in Physics
  25.    wt: 7:   8 Parallel Vectors
  26.    wt: 7:   7 Coordinate Addition and Scalar Multiplication
  27.    wt: 7:   6 Vectors with Coordinates
  28.    wt: 7:   3 Navigation with Arrows or Vectors
  29.    wt: 7:   Vector and Complex Number Applet
  30.    wt: 7:   Parallel Lines and Parallel Transversals
  31.    wt: 7:   Parallel Lines and Alternating Corresponding Angles
  32.    wt: 7:   Parallel Lines and Interior Angles
  33.    wt: 7:   Straight Lines Instersection Solving Equations
  34.    wt: 7:   13 Straight Lines Finding Equations from 2 points
  35.    wt: 7:   10 Straight Lines through Origin Equations More
  36.    wt: 7:   9 Straight Lines through Origin Equations
  37.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  38.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  39.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  40.    wt: 7:   29 secant cosecant and cotangent for acute angles
  41.    wt: 7:   27 Logarithmic use of products of sines and cosines
  42.    wt: 7:   26 Formulas for products of sines and cosines
  43.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  44.    wt: 7:   21 sine and cosine Half Angle Formulas
  45.    wt: 7:   20 sine and cosine Double Angle Formulas
  46.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  47.    wt: 7:   17E Trig Formulas for dot and cross Products
  48.    wt: 7:   17D cis formulas for sine cosines and tangent
  49.    wt: 7:   17C sine and cosine double triple angle formulas
  50.    wt: 7:   17A The complex number valued trig function cis
  51.    wt: 7:   16 Right Triangle Complementary Angle Relations
  52.    wt: 7:   10 Graphs of sines and cosines many periods
  53.    wt: 7:   9 Graphs of sine and cosine over one period
  54.    wt: 7:   7 period of sine and cosine
  55.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  56.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  57.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  58.    wt: 7:   Unit Circle Development of Trigonometry
  59.    wt: 7:   14 Law of cosines
  60.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  61.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  62.    wt: 7:   3 Trigonometric Ratios sine and cosine
  63.    wt: 7:   Why Trigonometry the whyslopes view
  64.    wt: 7:   8 Similarity of Triangles and Polygons
  65.    wt: 7:   Four Simple Exercises
  66.    wt: 7:   10 Midpoint of [a b] and [b a]
  67.    wt: 7:   7 Exercises to test skill and concept mastery
  68.    wt: 7:   4 Equations for lines three forms
  69.    wt: 7:   What is and is not here
  70.    wt: 7:   6 Polar Multiplication and Rotation
  71.    wt: 7:   5 Cartesian Addition and Translation
  72.    wt: 7:   4 Polar Coordinates to and from
  73.    wt: 7:   14 Parallel Lines Postulate
  74.    wt: 7:   A Measurement with Ruler Proper Use
  75.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  76.    wt: 7:   2 Measuring Area Directly
  77.    wt: 7:   1 Length Measurement
  78.    wt: 6:   16 cotangent function Definition Graph and Inverse
  79.    wt: 6:   15 cosecant function Definition Graph and Inverse
  80.    wt: 6:   13 cosecant function Definition Graph and Inverse
  81.    wt: 6:   4 possible motivation for term arccos
  82.    wt: 6:   12 From Applied To Pure Mathematics
  83.    wt: 6:   11 Component Method
  84.    wt: 6:   10 Parallelogram Addition Method
  85.    wt: 6:   9 Head to Tail Coordinate View
  86.    wt: 6:   5 Head To Tail Arrow Addition
  87.    wt: 6:   4 Resultant of a Sum of Movements
  88.    wt: 6:   2 Signed Coordinates
  89.    wt: 6:   1 Unsigned Coordinates
  90.    wt: 6:   4 graphing y=Asin(x c)
  91.    wt: 6:   3 graphing y=f(x c) plus K
  92.    wt: 6:   2 Graphing y=Af(x) Vertical Scaling
  93.    wt: 6:   1 graphing y=f(x a)
  94.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  95.    wt: 6:   Triangle Angles Sum To 180 Degrees
  96.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  97.    wt: 6:   Analytic View of Triangle Construction or Line Instersection More
  98.    wt: 6:   Straight Lines ASA Intersection Study More
  99.    wt: 6:   Straight Lines ASA Intersection Study
  100.    wt: 6:   Straight Lines Intersection of
  101.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  102.    wt: 6:   C Straight Lines Slope from Coordinates
  103.    wt: 6:   B Straight Line Slope Scaling Properties More
  104.    wt: 6:   A Straight Line Slope Scaling Properties
  105.    wt: 6:   12 Straight Lines Graphing mx plus b
  106.    wt: 6:   11 Straight Lines Graphing y=mx
  107.    wt: 6:   8 Straight Lines Equation for vertical
  108.    wt: 6:   7 Tangent Function is odd on this domain
  109.    wt: 6:   6 Tangent Function Inclination Angle Take 2
  110.    wt: 6:   5 Tangent Function Graph
  111.    wt: 6:   4 Tangent Function Properties
  112.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  113.    wt: 6:   2 Straight Lines Slopes As Rise Over Run
  114.    wt: 6:   1 Straight Lines Slope Concept
  115.    wt: 6:   17 tangent function angle sum formulas
  116.    wt: 6:   32 seven rows of pascals triangle
  117.    wt: 6:   31 basic secant cosecant cotangent trig identities
  118.    wt: 6:   30 unit circle calculation of six trigonometric functions
  119.    wt: 6:   28 Expressing products of sines cosines as sums
  120.    wt: 6:   25 tangent double angle formula Slope connection
  121.    wt: 6:   24 tangent Angle Difference Formula
  122.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  123.    wt: 6:   18 sum of sinusoidal waves as a single wave
  124.    wt: 6:   17G Pythagorean Theorem Converse
  125.    wt: 6:   17F Law of cosines
  126.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  127.    wt: 6:   15 sine cosine Complementary Angle Relations
  128.    wt: 6:   13 Graph of tangent function many periods
  129.    wt: 6:   12 Graph of tangent function for one period
  130.    wt: 6:   11 tangent function undefined when terminal side vertical
  131.    wt: 6:   8 period of tangent function
  132.    wt: 6:   2 Quadrant I reference Angles
  133.    wt: 6:   1 Unit Points Reflections Rotations
  134.    wt: 6:   21 Logarithms Powers and Exponentials
  135.    wt: 6:   16 References and Originality Question
  136.    wt: 6:   13 Trig Formulas for dot and cross Products
  137.    wt: 6:   12 cis formulas for sine cosines and tangent
  138.    wt: 6:   11 sine and cosine double triple angle formulas
  139.    wt: 6:   9 The complex number valued trig function cis
  140.    wt: 6:   8 Unit Circle Development of Trigonometry
  141.    wt: 6:   8 Triangles Cascade Problem Solving
  142.    wt: 6:   7 Trignometric Ratios Unit Circle
  143.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  144.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  145.    wt: 6:   1 Angle Measurement with Degrees
  146.    wt: 6:   13 Navigation Location from Angles to 2 Landmarks
  147.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  148.    wt: 6:   12 Links Lessons elsewhere
  149.    wt: 6:   11 A Partial Summary
  150.    wt: 6:   9 Midpoint Coordinates Half Endpoint Sum
  151.    wt: 6:   8 Mid Point Formula
  152.    wt: 6:   6 Intersection of lines by solving linear systems
  153.    wt: 6:   5 Algebraic View of Slopes
  154.    wt: 6:   3 Slope product for perpendicular lines
  155.    wt: 6:   2 point slope equation for a line
  156.    wt: 6:   13 Pythagorean spatial distance formulas
  157.    wt: 6:   12 Spatial Coordinates
  158.    wt: 6:   11 Triangle Inequality
  159.    wt: 6:   10 Pythagorean plane distance formula
  160.    wt: 6:   9 Pythagorean Theorem Chinese Square Proof
  161.    wt: 6:   8 Distance Between Points on a Line
  162.    wt: 6:   7 Complex Numbers Appetizer
  163.    wt: 6:   3 Rectangular Coordinates Review
  164.    wt: 6:   2 Cartesian Coordinates with signs
  165.    wt: 6:   1 Cartesian Coordinates sans signs
  166.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  167.    wt: 6:   16 Angles Subtended By Chords and Diameters
  168.    wt: 6:   6 Ruler and compass Angle Bisection
  169.    wt: 6:   1 Initial Concepts and Terms
  170.    wt: 5:   12 motivation for term arctan
  171.    wt: 5:   11 arctan left inverse of tangent Graph
  172.    wt: 5:   10 arctan left inverse of tangent Definition
  173.    wt: 5:   9 motivation for name arcsin
  174.    wt: 5:   8 arcsin left inverse of sine Graph
  175.    wt: 5:   7 arcsin left inverse of sine Definition
  176.    wt: 5:   6 Graph of arccos function
  177.    wt: 5:   5 Swapping Coordinates is a reflection
  178.    wt: 5:   3 Left Inverse of cosine arccos definition
  179.    wt: 5:   2 cosine function more properties
  180.    wt: 5:   1 cosine function properties
  181.    wt: 5:   20 N th Roots of Complex Numbers
  182.    wt: 5:   19 N th Roots of Unity
  183.    wt: 5:   18 Sixth Roots of Unity
  184.    wt: 5:   17 Cube Roots of unity
  185.    wt: 5:   15 Pythagorean Theorem Converse
  186.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  187.    wt: 5:   7 Second Way to Calculate Products
  188.    wt: 5:   6 Field Properties of Complex Number
  189.    wt: 5:   5 An Easy Proof of the Distributive Law
  190.    wt: 5:   4 Multiplication Properties
  191.    wt: 5:   3 Addition Properties
  192.    wt: 5:   2 Complex Numbers made easier we hope
  193.    wt: 5:   1 Rectangular Polar Coordinates Review
  194.    wt: 5:   Appetizer A Complex Number Applet
  195.    wt: 5:   12 Triangles Similarity More Problems
  196.    wt: 5:   11 Triangle Similarity Missing Side Problem
  197.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  198.    wt: 5:   9 Similarity of Triangles Usual Criteria
  199.    wt: 5:   7 Translations Rotations Reflections Dilatations
  200.    wt: 5:   6 Geometric Diagrams in Class
  201.    wt: 5:   4 Similarity Definition with Coordinate
  202.    wt: 5:   3 Similarity by Design with coordinates
  203.    wt: 5:   2 Similarity By Design
  204.    wt: 5:   1 Early Concept of Like or Similar Shapes
  205.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  206.    wt: 5:   PS H Distributive Law For Complex Numbers
  207.    wt: 5:   PS G Rotation Distributes over Addition
  208.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  209.    wt: 5:   PS E Multiplication with Polar Coordinates
  210.    wt: 5:   PS D Addition with Cartesian Coordinates
  211.    wt: 5:   PS B Parallelogram Construction Methods
  212.    wt: 5:   PS A Kite Construction Methods
  213.    wt: 5:   21 Parallelograms
  214.    wt: 5:   19 Right Triangle Similarity
  215.    wt: 5:   18 Triangle Similarity Take 1
  216.    wt: 5:   17 Right Bisectors of Triangle Sides
  217.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  218.    wt: 5:   13 Angle Side Angle Failure
  219.    wt: 5:   12 Side Angle Side Failure
  220.    wt: 5:   11 Triangle Construction Fails
  221.    wt: 5:   10 Dropping a perpendicular to line
  222.    wt: 5:   9 Construction of a right bisector
  223.    wt: 5:   8 Isoceles Triangles
  224.    wt: 5:   7 Angle Side Angle
  225.    wt: 5:   5 Side Angle Side
  226.    wt: 5:   4 Side Side Side
  227.    wt: 5:   3 Isometry of Triangles Congruence
  228.    wt: 5:   2 Correspondence between Triangles
  229.    wt: 5:   Short Course on Euclidean Geometry
  230.    wt: 5:   About Folder Contents
  231.    wt: 5:   1 More and Less Than for Counts and Measures
  232.    wt: 5:   1 Squares and Square Roots Introduction
  233.    wt: 5:   10 Euclid Algorithm with 129 125 and with 45 14
  234.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  235.    wt: 5:   14 Adding and Subtracting with Like Denominators
  236.    wt: 5:   6. Counting and adding units and mixed units
  237.    wt: 5:   11 Place Value SI Standard International way
  238.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  239.    wt: 4:   6 Equations and Systems Equivalent or Implied
  240.    wt: 4:   2 More and Less Than for Counts and Measures
  241.    wt: 4:   2 More and Less Than with Unlike Signs
  242.    wt: 4:   17 GCD LCM of 85 and 60 via Prime
  243.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  244.    wt: 4:   14 GCD of 650 110 via Primes LCM via Product Rule
  245.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  246.    wt: 4:   7 GCD and LCM from prime factorization
  247.    wt: 4:   4 LCM of 8 and 10 via Prime
  248.    wt: 4:   3 Counting with Tables and Trees II
  249.    wt: 4:   2 Counting with Tables and Trees I
  250.    wt: 4:   1 Counting and Counting Methods I
  251.    wt: 4:   3 signed coordinates for maps and planes
  252.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  253.    wt: 4:   3 Multiplying Units and Numbers
  254.    wt: 4:   2 Equality and Units
  255.    wt: 4:   1 Addition and Subtraction with Units
  256.    wt: 4:   B Fractions and Two Term Ratios
  257.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  258.    wt: 4:   21 Reciprocals for Fractions and Wholes
  259.    wt: 4:   17 Efficient Ways to Add and Subtract
  260.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  261.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  262.    wt: 4:   9 Improper Fractions and Mixed Numbers
  263.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  264.    wt: 4:   14 Remainder Arithmetic Modulo 9 Example
  265.    wt: 4:   14 video Factors of 24 Take II
  266.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  267.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  268.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  269.    wt: 4:   8 What skills and work habits to require
  270.    wt: 4:   10 Names for Big Numbers and Powers of Ten Expansion
  271.    wt: 4:   9 Place Value Review Decimal form of Avogrados number included
  272.    wt: 4:   8 Review Lesson 1 2 4 and 6 All in One
  273.    wt: 4:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  274.    wt: 4:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  275.    wt: 4:   5 More on Groups of 3 Place Value in Decimal Fractions
  276.    wt: 4:   4 Groups of 3 Place Value in Decimal Fractions
  277.    wt: 4:   3 More on Groups of 3 Multi Digit Place Value
  278.    wt: 4:   2 Groups of Three Place Value for Multidigit Decimals
  279.    wt: 4:   1 Place Value in Three Digit Whole Numbers
  280.    wt: 4:   Practical Methods Ends and Values for Arithmetic
  281.    wt: 4:   Chapter 14 Limits and Continuity with and sans Decimals
  282.    wt: 4:   Primary and Secondary Skills and Practices with Take Home Value
  283.    wt: 3:   14 Multiplication and Times Tables
  284.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  285.    wt: 3:   4 Subtraction and Division Axioms
  286.    wt: 3:   2 Addition and Multiplication Axioms
  287.    wt: 3:   3 More and Less Than with Unlike Signs
  288.    wt: 3:   4 Greater More Less Than Signs in General
  289.    wt: 3:   3 Comparison of Negative Numbers
  290.    wt: 3:   5 Square Roots with primes more still
  291.    wt: 3:   4 Square Roots with primes more
  292.    wt: 3:   3 Properties of Square Roots with example
  293.    wt: 3:   2 Square Roots with Prime
  294.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  295.    wt: 3:   13 GCD from given Prime Factorization
  296.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  297.    wt: 3:   8 GCD from Euclidean Algorithm
  298.    wt: 3:   6 GCD from Prime
  299.    wt: 3:   5 Common Divisors 60 45 via Prime
  300.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  301.    wt: 3:   2 Least Common Multiple LCM intro via list method
  302.    wt: 3:   1 Least Common Multiples LCM Introduction
  303.    wt: 3:   12 GCD 2700 288 via Prime
  304.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  305.    wt: 3:   4 Counting with Trees Product Rule Take I
  306.    wt: 3:   11 What are real lengths and numbers
  307.    wt: 3:   7 negative and additive inverse
  308.    wt: 3:   5 lengths and signs of numbers
  309.    wt: 3:   2 signed and unsigned numbers as coordinates
  310.    wt: 3:   7 Converting or Changing Units
  311.    wt: 3:   6 Simplification of Fractions with Units
  312.    wt: 3:   4 Fractions with Units
  313.    wt: 3:   D Three Term Ratios
  314.    wt: 3:   22 Complex Compound Fractions
  315.    wt: 3:   21 Working With Signs
  316.    wt: 3:   20 Dividing Fractions the Why
  317.    wt: 3:   19 Dividing Fractions How TO
  318.    wt: 3:   18 Efficient Ways to Multiply
  319.    wt: 3:   16 Addition Subtraction Comparision Compared
  320.    wt: 3:   13 Fraction Comparison Algebraic View
  321.    wt: 3:   12 Fraction Comparison
  322.    wt: 3:   11 Simplification an Algebraic View
  323.    wt: 3:   8 Numerals Fractionals Quantals Take II
  324.    wt: 3:   7 Numerals Fractionals Quantals
  325.    wt: 3:   6 Multiplication of Mixed Numbers
  326.    wt: 3:   6 Multiplication Algebraically Take II
  327.    wt: 3:   5 Equivalent Fractions
  328.    wt: 3:   4 Fraction Multiplication
  329.    wt: 3:   3 Unit fraction of a fraction
  330.    wt: 3:   2 Unit Fraction Multiplication
  331.    wt: 3:   1 What is a fraction Take II
  332.    wt: 3:   1 What is a fraction
  333.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  334.    wt: 3:   B Integer Long Division Multiple Choices
  335.    wt: 3:   11 Adding Integers Formulas and Examples
  336.    wt: 3:   5 Zero Movement and Additive Inverses
  337.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  338.    wt: 3:   26 Divisibility by 2 3 5 Example
  339.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  340.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  341.    wt: 3:   23 Remainder Arithmetic Modulo 2
  342.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  343.    wt: 3:   21 Remainder Arithmetic Modulo 3
  344.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  345.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  346.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  347.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  348.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  349.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  350.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  351.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  352.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  353.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  354.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  355.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  356.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  357.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  358.    wt: 3:   5 Remainder Arithmetic Modulo 5
  359.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  360.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  361.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  362.    wt: 3:   1 Remainder Arithmetic Modulo 10
  363.    wt: 3:   17 Identify and Count Factors using Primes
  364.    wt: 3:   12 LCD GCD and LCM using Primes
  365.    wt: 3:   7 Calculator Usage Notes and Cautions
  366.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  367.    wt: 3:   5 Prime Factorization and a Square Rule
  368.    wt: 3:   3 video Primes and Composites from 9 times table
  369.    wt: 3:   2 Prime and Composites less than 16
  370.    wt: 3:   Division with Counts and Length
  371.    wt: 3:   Long Division forwards and backwards Example 3
  372.    wt: 3:   Long Division forwards and backwards Example 2
  373.    wt: 3:   Long Division forwards and backwards Example 1
  374.    wt: 3:   10 Division by Five Long and Short Ways
  375.    wt: 3:   4 Two and Three Digit Multipliers
  376.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  377.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  378.    wt: 3:   Subtraction with J Conversions Example
  379.    wt: 3:   Subtraction Another Video Lesson
  380.    wt: 3:   9 22 Minute Subtraction Review Video
  381.    wt: 3:   8 Subtraction with Units of Measure
  382.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  383.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  384.    wt: 3:   5 A Tip for Efficent Subtraction
  385.    wt: 3:   2 Subtraction Easy Case Examples
  386.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  387.    wt: 3:   7 Adding decimal fractions using decimal point
  388.    wt: 3:   5. How to add decimals C. Examples
  389.    wt: 3:   4. How to add with decimals B with conversions
  390.    wt: 3:   3. How to add with decimals A sans conversions
  391.    wt: 3:   2 Decimal Counting Practices
  392.    wt: 3:   1. Explaining Addition Table
  393.    wt: 3:   Quick history of numbers and algebra
  394.    wt: 3:   Exact Arithmetic Wholes and Fractions
  395.    wt: 3:   12 Limits with Parameters and Derivatives Take I
  396.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  397.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  398.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  399.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  400.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  401.    wt: 2:   Maps Plans Drawings
  402.    wt: 2:   Ages 12 to 14 Skills with take home value
  403.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  404.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  405.    wt: 2:   14 Surjections Injections Bijections
  406.    wt: 2:   A Modular and Remainder Arithmetic
  407.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  408.    wt: 2:   13 Arrows and Vectors in a Plane
  409.    wt: 2:   B Decimal Comparison and Subtraction
  410.    wt: 2:   2 Combing Counts Addition Skills and Principles
  411.    wt: 2:   4 Rates Ratios and Proporitionality
  412.    wt: 2:   5 Equality in Algebra
  413.    wt: 2:   3 Product Axioms Two Forms
  414.    wt: 2:   1 Equivalent Computation Rules
  415.    wt: 2:   5 Greater More Less Than Signs in General
  416.    wt: 2:   4 Comparison of Negative Numbers
  417.    wt: 2:   1 Real Numbers Comparison
  418.    wt: 2:   8 Coordinates for Maps and Planes
  419.    wt: 2:   3 Geometric Formulas and Function Notation
  420.    wt: 2:   1 Formulas Dependence and Function Notation
  421.    wt: 2:   3 GE III Equation Addition and Multiplication
  422.    wt: 2:   Skill Development Notes
  423.    wt: 2:   10 One Example
  424.    wt: 2:   9 Three Examples
  425.    wt: 2:   8 One Example
  426.    wt: 2:   7 Two Examples
  427.    wt: 2:   6 Three Examples
  428.    wt: 2:   5 Three Examples
  429.    wt: 2:   4 Two Examples
  430.    wt: 2:   3 Two Examples
  431.    wt: 2:   2 Three Examples
  432.    wt: 2:   arithmetic videos Real Player Format
  433.    wt: 2:   10 dividing signed numbers
  434.    wt: 2:   9 subtracting signed numbers
  435.    wt: 2:   8 multiplying signed numbers
  436.    wt: 2:   6 adding signed numbers
  437.    wt: 2:   4 signed coordinates for regions in space
  438.    wt: 2:   D Remainders Modulo 11 Pair Rule
  439.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  440.    wt: 2:   A Associative Law Theorectical Note
  441.    wt: 2:   13 Subtraction with Additive Inverse
  442.    wt: 2:   12 Adding Integers More Examples
  443.    wt: 2:   10 Integer Multiplication Formulas
  444.    wt: 2:   9 Multiplying Integers
  445.    wt: 2:   8 Multiplication by Signed Numbers Integers
  446.    wt: 2:   7 Multiplication by Signs
  447.    wt: 2:   6 Multiplication by Natural Numbers
  448.    wt: 2:   4 Adding Movements wiht opposite directions
  449.    wt: 2:   3 Adding Movements with same direction
  450.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  451.    wt: 2:   1 Integers as Coordinates
  452.    wt: 2:   20 Uniqueness of Prime Factorization
  453.    wt: 2:   19 video Prime Factorization Unique
  454.    wt: 2:   18 video Count Factors given Prime Factorization
  455.    wt: 2:   16 video Factors of 980 using prime
  456.    wt: 2:   15 video Factors of 20 using Prime Factorization
  457.    wt: 2:   13 video Factors of 24 using prime
  458.    wt: 2:   11 Efficient Square Rule Use
  459.    wt: 2:   10 video Prime Factorization upto 23 squared
  460.    wt: 2:   9 video Prime Factorization upto 19 squared
  461.    wt: 2:   8 video Prime Factorization upto 19
  462.    wt: 2:   4 video Prime Factorization Introduction
  463.    wt: 2:   1 video how Products are bigger than factor
  464.    wt: 2:   Long Division Backwards more
  465.    wt: 2:   Long Division Backward
  466.    wt: 2:   12 Why Long Division Works Take III
  467.    wt: 2:   11 Another Single Digit Divisor Example
  468.    wt: 2:   9 Why Long Division Works Take II
  469.    wt: 2:   8 Correcting the Mistake
  470.    wt: 2:   7 Long Divison Mistake Catching
  471.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  472.    wt: 2:   5 Long Division Include Zeroes or not
  473.    wt: 2:   4 Division with 2 Digit Divsors
  474.    wt: 2:   3 Division Single Digit Divisor Example
  475.    wt: 2:   2 Division with Single Digit Divisors
  476.    wt: 2:   1 Divsion Physical Examples
  477.    wt: 2:   D Decimal Multiplication Methods Derived
  478.    wt: 2:   C Counting Areas with Powers of Ten
  479.    wt: 2:   B Powers of Ten
  480.    wt: 2:   A Elementary Basis for Multiplication Methods
  481.    wt: 2:   6 Multiplication Commutes Order Not Important
  482.    wt: 2:   5 Decimal Fraction Multiplication
  483.    wt: 2:   3 More One Digit Multipliers
  484.    wt: 2:   2 One Digit Multipliers
  485.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  486.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  487.    wt: 2:   Video Power Notation in Decimal Expansion
  488.    wt: 2:   1 Why 3 times 5 gives 15
  489.    wt: 2:   Formula Evaluation how to show work
  490.    wt: 2:   Expression Evaluation how to show work
  491.    wt: 2:   The 20 Times Table
  492.    wt: 2:   The 12 Times Table Visually
  493.    wt: 2:   About folder contents
  494.    wt: 2:   015 School and work day counting tables
  495.    wt: 2:   014 Counting Days with Calendars
  496.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  497.    wt: 2:   4 Mixing and Changing Units of Time
  498.    wt: 2:   3 Units and Lengths of Time
  499.    wt: 2:   2 Time and Date Matters in School
  500.    wt: 2:   Example 1. Area Between x and x squared
  501.    wt: 2:   38 Formulas and derivatives for powers and roots
  502.    wt: 2:   14 sine and cosine derivatives 2nd step
  503.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  504.    wt: 2:   10 Three one sided limits with infinite values
  505.    wt: 2:   9 Limits Continuity and Composition
  506.    wt: 2:   5 Jumps and absence of unlimited error control
  507.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  508.    wt: 2:   F.5b Extreme Value Theorem
  509.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  510.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  511.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  512.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  513.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  514.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  515.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  516.    wt: 2:   O On Learning Mathematics and Science
  517.    wt: 2:   N Mathematics Prepare for College Studies
  518.    wt: 2:   L Skills with take home value
  519.    wt: 2:   N Improving Marks on Tests and Finals
  520.    wt: 2:   J. More on written work and showing skill
  521.    wt: 2:   I. Logic and language skills
  522.    wt: 2:   H Jigsaw puzzles and problem solving
  523.    wt: 2:   G. Written work formats for developing and showing skill
  524.    wt: 2:   E. When and how to correct errors
  525.    wt: 2:   How to Build Skills and Confidence
  526.    wt: 2:   7 Games and Activities for Instruction
  527.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  528.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  529.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  530.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  531.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  532.    wt: 1:   Appendix 1 primary and preschool mathematic
  533.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  534.    wt: 1:   Skills Chapter 4 Logic
  535.    wt: 1:   7 logic review and decimals an odd combination
  536.    wt: 1:   5 logarithms and exponentials etc
  537.    wt: 1:   Applied Maths Program14092009 POMME variant
  538.    wt: 1:   About site lesson plans
  539.    wt: 1:   key notes and themes
  540.    wt: 1:   modern education
  541.    wt: 1:   what should be learnt and When
  542.    wt: 1:   how letters appear
  543.    wt: 1:   standards for course material
  544.    wt: 1:   Operational Viewpoint to Value
  545.    wt: 1:   Education in mathematics science and technology
  546.    wt: 1:   Motivation and Context Problem
  547.    wt: 1:   fairness and inductive principles for instruction
  548.    wt: 1:   B Wire Resistance Qualitative02
  549.    wt: 1:   Home Tutoring and Home Schooling
  550.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  551.    wt: 1:   24 Standards For Skill Develoment Take II
  552.    wt: 1:   24 Standards For Skill Develoment
  553.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  554.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  555.    wt: 1:   17 Math Booklets for children and young teenagers
  556.    wt: 1:   13 Addition and Addition Tables
  557.    wt: 1:   12 Goals and Objectives For Mathematics
  558.    wt: 1:   11 Help and Defend Your Child or Teens Education
  559.    wt: 1:   10 Ends values for work study instruction
  560.    wt: 1:   5 Patience Please for Yourself and Your Charges
  561.    wt: 1:   4 Learning Takes Time and Effort
  562.    wt: 1:   2 Reading and Writing Skills
  563.    wt: 1:   Ages 12 to 14 Geometry
  564.    wt: 1:   Ages 12 to 14 Arithmetic
  565.    wt: 1:   26 Function definitions done and coming
  566.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  567.    wt: 1:   19 Horizontal line rule and method
  568.    wt: 1:   18 Vertical Line Rule and Method
  569.    wt: 1:   17 Function maxima minima and their location
  570.    wt: 1:   11 Function Domain Range Source and Targets
  571.    wt: 1:   8 Set view of relations and functions
  572.    wt: 1:   6 Set Existence Formation and Notation
  573.    wt: 1:   4 Function notation in and beyond mathematics
  574.    wt: 1:   9 quadratics physical and further context
  575.    wt: 1:   11 Growth and Decay in Biology
  576.    wt: 1:   10 Exponential Growth and Decay Models
  577.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  578.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  579.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  580.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  581.    wt: 1:   19 Signed Multiples of Vectors
  582.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  583.    wt: 1:   11 Signed Number Addition and Addition Properties
  584.    wt: 1:   8 Division and Mulplication of Compound Fractions
  585.    wt: 1:   E Long Division Methods more
  586.    wt: 1:   D Long Division Methods
  587.    wt: 1:   C Three Decimal Subtraction Methods
  588.    wt: 1:   A Decimal Addition Columm Methods
  589.    wt: 1:   8 Column Multiplication Methods in General
  590.    wt: 1:   7 Decimals Multiplication Methods Examples
  591.    wt: 1:   6 Column Methods for Decimal Multiplication
  592.    wt: 1:   5 Distributive Law for Whole Numbers
  593.    wt: 1:   4 Commutative Law Groups Counting Form
  594.    wt: 1:   3 Multiplicative Counting Skills Principles
  595.    wt: 1:   1 The Counting Origins of Numbers
  596.    wt: 1:   3 Inequalities Algebraically
  597.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  598.    wt: 1:   5 Proportionality in Equivalent Fractions
  599.    wt: 1:   3 Proportionality Examples
  600.    wt: 1:   2 Algebraic View
  601.    wt: 1:   1 What is Proportionality
  602.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  603.    wt: 1:   6 Compound Interest Forward and Backwards
  604.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  605.    wt: 1:   14 Real Number Multiplication
  606.    wt: 1:   10 Real Number Lengths and Signs
  607.    wt: 1:   1 Whole and Natural Numbers
  608.    wt: 1:   5 Independent versus Dependent Variables
  609.    wt: 1:   4 Changing Letters
  610.    wt: 1:   2 Computation Rules Evaluation
  611.    wt: 1:   More Exercises
  612.    wt: 1:   Simple Exercises
  613.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  614.    wt: 1:   4 GE III Animated Examples
  615.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  616.    wt: 1:   2 GE II Comparison
  617.    wt: 1:   1 GE Substitution four examples
  618.    wt: 1:   4 Solving a triangular system exercise
  619.    wt: 1:   3 Solving triangular system example
  620.    wt: 1:   2 Essentially one exercises three with solution
  621.    wt: 1:   1 Essentially One Unknown
  622.    wt: 1:   6 Algebraic Solution Example
  623.    wt: 1:   5 Algebraic Solutions Introduction
  624.    wt: 1:   4 Four Examples Fractional Coefficients
  625.    wt: 1:   3 Four Examples
  626.    wt: 1:   2 Three Examples
  627.    wt: 1:   1 Proper Equal Sign Usage
  628.    wt: 1:   Using Letters for Physical Quantities
  629.    wt: 1:   Formula Usage Show Work Format
  630.    wt: 1:   1 Written work formats for developing and showing skill
  631.    wt: 1:   9 Sets in Probability and Statistics
  632.    wt: 1:   5 Talking about Numbers and Quantities
  633.    wt: 1:   4 A Brief Story of numbers and algebra
  634.    wt: 1:   016 Numbering Occidental Calendar Days
  635.    wt: 1:   013 Travel Time Tables
  636.    wt: 1:   012 Division of Time Intervals by Time Intervals
  637.    wt: 1:   011 Division of Time Intervals By Numbers
  638.    wt: 1:   010 Repeated Addition of Time Intervals
  639.    wt: 1:   8 Addition of Time Intervals via subtotaling
  640.    wt: 1:   7 Addition of Time Intervals
  641.    wt: 1:   6 How long is a million seconds
  642.    wt: 1:   5 Conversion Arithmetic
  643.    wt: 1:   1 Intro of Kids To Time Date Skills
  644.    wt: 1:   Example 2 volume of a cone
  645.    wt: 1:   Example 1 volume of a pyramid
  646.    wt: 1:   Volume of Solid by Cross Sections Lesson
  647.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  648.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  649.    wt: 1:   Example 4 with x function of y
  650.    wt: 1:   Example 3
  651.    wt: 1:   Example 2
  652.    wt: 1:   Example 1
  653.    wt: 1:   Area Between Curves Lesson Take 2
  654.    wt: 1:   Area Between Curves Lesson Take 1
  655.    wt: 1:   Summary
  656.    wt: 1:   17 Derivatives of quotients of sine and cosine
  657.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  658.    wt: 1:   15 sine and cosine derivatives 3rd step
  659.    wt: 1:   13 sine and cosine derivatives 1st step
  660.    wt: 1:   11 Limits at infinity Three Examples
  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:   2 Algebraic codification
  667.    wt: 1:   1 Numerical introduction
  668.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  669.    wt: 1:   F.3 Intermediate Value Theorem
  670.    wt: 1:   E1 Error Control Inequalities
  671.    wt: 1:   C Triangle Inequalities
  672.    wt: 1:   PostScript For and Against Decimal Perspectives
  673.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  674.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  675.    wt: 1:   Chapter 23 Links To Trigonometry
  676.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  677.    wt: 1:   Chapter 12. Units and Slopes
  678.    wt: 1:   Chapter 10 Slopes and Units
  679.    wt: 1:   Chapter 7 Slopes and Velocity
  680.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  681.    wt: 1:   Chapter 2. Slopes and Ski Trails
  682.    wt: 1:   Appendix E. How To Study Mathematics and Why
  683.    wt: 1:   Appendix D. What to do in School and Why
  684.    wt: 1:   Chapter 31 Direct and Indirect Reason
  685.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  686.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  687.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  688.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  689.    wt: 1:   Chapter 20. Degrees and Radians
  690.    wt: 1:   Chapter 19. Functions and Sets
  691.    wt: 1:   Chapter 15. Solving Linear Equations
  692.    wt: 1:   Chapter 12. Shorthand Usage Guide
  693.    wt: 1:   Chapter 11. Why Shorthand
  694.    wt: 1:   Chapter 10 Describing and Changing Calculations
  695.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  696.    wt: 1:   Postscript B Mathematics Education References
  697.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  698.    wt: 1:   Chapter 2 For and Against Mathematics
  699.    wt: 1:   Postscript B More on Story Telling and Reason
  700.    wt: 1:   Chapter 24 Direct and Indirect Reason
  701.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  702.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  703.    wt: 1:   Chapter 18 Sense and Knowledge
  704.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  705.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  706.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  707.    wt: 1:   S Adding words to algebra
  708.    wt: 1:   R Why Learn Mathematics Skills
  709.    wt: 1:   M Words to extend arithmetic
  710.    wt: 1:   H more Routine to non routine problem solving
  711.    wt: 1:   F. The student teacher tutor feedback loop
  712.    wt: 1:   D. Check work a must with a caution
  713.    wt: 1:   C. Domino effect of being careful
  714.    wt: 1:   B. Domino effect of errors
  715.    wt: 1:   A. Skill has to be seen to believed
  716.    wt: 1:   Chapter 8 Skipped Topics and Why
  717.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  718.    wt: 1:   Chapter 6 More Algebra and Geometry
  719.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  720.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  721.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  722.    wt: 1:   Helping the Blind in Logic and Mathematics
  723.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  724.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  725.    wt: 1:   More Algebra and Slope based Calculus Preview
  726.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  727.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  728.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  729.    wt: 1:   The Math Forum and Site Content
  730.    wt: 11:   3 Lengths and Areas on Maps and Plans
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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