Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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51 matches:

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

Web Page Search

442 matches:

  1.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  2.    wt: 4:   How to Build Skills and Confidence
  3.    wt: 3:   How to be a better instructor
  4.    wt: 3:   13 From one to one to many to one
  5.    wt: 3:   Vector and Complex Number Applet
  6.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  7.    wt: 3:   4 A Brief Story of numbers and algebra
  8.    wt: 3:   3 Multiplying Units and Numbers
  9.    wt: 3:   8 What skills and work habits to require
  10.    wt: 3:   Quick history of numbers and algebra
  11.    wt: 3:   Formula Evaluation how to show work
  12.    wt: 3:   Expression Evaluation how to show work
  13.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  14.    wt: 3:   Appendix E. How To Study Mathematics and Why
  15.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  16.    wt: 3:   E. When and how to correct errors
  17.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  18.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  19.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  20.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  21.    wt: 2:   Ramblings Extrinsic numbers theory
  22.    wt: 2:   04 25 when to stop or suspend mathemat
  23.    wt: 2:   Home Tutoring and Home Schooling
  24.    wt: 2:   2 Reading and Writing Skills
  25.    wt: 2:   Ages 12 to 14 Skills with take home value
  26.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  27.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  28.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  29.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  30.    wt: 2:   8 Notes for instructors or tutors
  31.    wt: 2:   9 Summary Degrees to Radians and back
  32.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  33.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  34.    wt: 2:   14 cosine even and sine and tangent are odd
  35.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  36.    wt: 2:   7 Exercises to test skill and concept mastery
  37.    wt: 2:   4 Polar Coordinates to and from
  38.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  39.    wt: 2:   3 Lengths and Areas on Maps and Plans
  40.    wt: 2:   13 Arrows and Vectors in a Plane
  41.    wt: 2:   11 Signed Number Addition and Addition Properties
  42.    wt: 2:   2 Combing Counts Addition Skills and Principles
  43.    wt: 2:   2 More and Less Than for Counts and Measures
  44.    wt: 2:   10 Real Number Lengths and Signs
  45.    wt: 2:   1 Whole and Natural Numbers
  46.    wt: 2:   1 Written work formats for developing and showing skill
  47.    wt: 2:   5 Talking about Numbers and Quantities
  48.    wt: 2:   1 More and Less Than for Counts and Measures
  49.    wt: 2:   7 GCD and LCM from prime factorization
  50.    wt: 2:   11 What are real lengths and numbers
  51.    wt: 2:   8 multiplying signed numbers
  52.    wt: 2:   5 lengths and signs of numbers
  53.    wt: 2:   2 signed and unsigned numbers as coordinates
  54.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  55.    wt: 2:   19 Dividing Fractions How TO
  56.    wt: 2:   18 Efficient Ways to Multiply
  57.    wt: 2:   17 Efficient Ways to Add and Subtract
  58.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  59.    wt: 2:   14 Adding and Subtracting with Like Denominators
  60.    wt: 2:   9 Improper Fractions and Mixed Numbers
  61.    wt: 2:   18 video Count Factors given Prime Factorization
  62.    wt: 2:   17 Identify and Count Factors using Primes
  63.    wt: 2:   15 video Factors of 20 using Prime Factorization
  64.    wt: 2:   10 video Prime Factorization upto 23 squared
  65.    wt: 2:   9 video Prime Factorization upto 19 squared
  66.    wt: 2:   8 video Prime Factorization upto 19
  67.    wt: 2:   7 Calculator Usage Notes and Cautions
  68.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  69.    wt: 2:   5 Prime Factorization and a Square Rule
  70.    wt: 2:   1 video how Products are bigger than factor
  71.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  72.    wt: 2:   6. Counting and adding units and mixed units
  73.    wt: 2:   5. How to add decimals C. Examples
  74.    wt: 2:   4. How to add with decimals B with conversions
  75.    wt: 2:   3. How to add with decimals A sans conversions
  76.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  77.    wt: 2:   1 Intro of Kids To Time Date Skills
  78.    wt: 2:   38 Formulas and derivatives for powers and roots
  79.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  80.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  81.    wt: 2:   Appendix D. What to do in School and Why
  82.    wt: 2:   Appendix C. How to Read
  83.    wt: 2:   Appendix B. How To Learn
  84.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  85.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  86.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  87.    wt: 2:   Postscript B More on Story Telling and Reason
  88.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  89.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  90.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  91.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  92.    wt: 2:   J. More on written work and showing skill
  93.    wt: 2:   I. Logic and language skills
  94.    wt: 2:   G. Written work formats for developing and showing skill
  95.    wt: 2:   A. Skill has to be seen to believed
  96.    wt: 2:   Chapter 8 Skipped Topics and Why
  97.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  98.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  99.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  100.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  101.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  102.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  103.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  104.    wt: 1:   Appendix 1 primary and preschool mathematic
  105.    wt: 1:   G LAMP Introduction Problem Solving Skills
  106.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  107.    wt: 1:   Skills Chapter 5 Calculus
  108.    wt: 1:   Skills Chapter 4 Logic
  109.    wt: 1:   Skills Chapter 3 Algebra
  110.    wt: 1:   Skills Chapter 2 Geometry
  111.    wt: 1:   Skills Chapter 1 Arithmetic
  112.    wt: 1:   Skills Chapter 0 Introduction
  113.    wt: 1:   9 combinatorics probability sets
  114.    wt: 1:   7 logic review and decimals an odd combination
  115.    wt: 1:   5 logarithms and exponentials etc
  116.    wt: 1:   2 arithmetic with signed numbers
  117.    wt: 1:   1 arithmetic with unsigned numbers
  118.    wt: 1:   which way to go
  119.    wt: 1:   three goals to set for students
  120.    wt: 1:   key notes and themes
  121.    wt: 1:   grouping students according to ability
  122.    wt: 1:   what should be learnt and When
  123.    wt: 1:   how letters appear
  124.    wt: 1:   What to Tell Students
  125.    wt: 1:   teaching tutoring algebraic reason
  126.    wt: 1:   standards for course material
  127.    wt: 1:   Operational Viewpoint to Value
  128.    wt: 1:   Theory of Knowledge
  129.    wt: 1:   Education in mathematics science and technology
  130.    wt: 1:   Four ways to improve education reform
  131.    wt: 1:   Motivation and Context Problem
  132.    wt: 1:   fairness and inductive principles for instruction
  133.    wt: 1:   words for mathematics instructor
  134.    wt: 1:   3 Like resistors in parallel
  135.    wt: 1:   2 Unlike resistors in parallel01
  136.    wt: 1:   1 Like resistors in series
  137.    wt: 1:   F Unlike Resistors in Series
  138.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  139.    wt: 1:   24 Standards For Skill Develoment Take II
  140.    wt: 1:   24 Standards For Skill Develoment
  141.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  142.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  143.    wt: 1:   17 Math Booklets for children and young teenagers
  144.    wt: 1:   14 Multiplication and Times Tables
  145.    wt: 1:   13 Addition and Addition Tables
  146.    wt: 1:   12 Goals and Objectives For Mathematics
  147.    wt: 1:   11 Help and Defend Your Child or Teens Education
  148.    wt: 1:   5 Patience Please for Yourself and Your Charges
  149.    wt: 1:   4 Learning Takes Time and Effort
  150.    wt: 1:   1 Speaking Skills
  151.    wt: 1:   Ages 12 to 14 Geometry
  152.    wt: 1:   Ages 12 to 14 Arithmetic
  153.    wt: 1:   Ages 10 to 12 Geometry
  154.    wt: 1:   Ages 10 to 12 Arithmetic
  155.    wt: 1:   Ages 9 to 10
  156.    wt: 1:   Ages 8 to 9
  157.    wt: 1:   Ages 7 to 8
  158.    wt: 1:   Ages 6 to 7
  159.    wt: 1:   Ages 4 plus to 5 plus
  160.    wt: 1:   Ages 3 plus to 4 plus
  161.    wt: 1:   26 Function definitions done and coming
  162.    wt: 1:   19 Horizontal line rule and method
  163.    wt: 1:   18 Vertical Line Rule and Method
  164.    wt: 1:   17 Function maxima minima and their location
  165.    wt: 1:   11 Function Domain Range Source and Targets
  166.    wt: 1:   9 Set theory term relation possible origins
  167.    wt: 1:   8 Set view of relations and functions
  168.    wt: 1:   6 Set Existence Formation and Notation
  169.    wt: 1:   4 Function notation in and beyond mathematics
  170.    wt: 1:   9 quadratics physical and further context
  171.    wt: 1:   3 quadratics factoring by inspection
  172.    wt: 1:   11 Growth and Decay in Biology
  173.    wt: 1:   10 Exponential Growth and Decay Models
  174.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  175.    wt: 1:   5 Natural Logarithm Calculator Exercises
  176.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  177.    wt: 1:   1 Calculator Starter Exercises
  178.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  179.    wt: 1:   16 cotangent function Definition Graph and Inverse
  180.    wt: 1:   15 cosecant function Definition Graph and Inverse
  181.    wt: 1:   14 secant function Definition Graph and Inverse
  182.    wt: 1:   13 cosecant function Definition Graph and Inverse
  183.    wt: 1:   6 Radian Measure to Degrees
  184.    wt: 1:   5 Degrees to Radian Measure
  185.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  186.    wt: 1:   1 Degrees and Radians Introduction
  187.    wt: 1:   A Global Time and Navigation
  188.    wt: 1:   15 Dot and Cross Product
  189.    wt: 1:   13 Velocity Vectors in Physics
  190.    wt: 1:   12 From Applied To Pure Mathematics
  191.    wt: 1:   9 Head to Tail Coordinate View
  192.    wt: 1:   8 Parallel Vectors
  193.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  194.    wt: 1:   6 Vectors with Coordinates
  195.    wt: 1:   5 Head To Tail Arrow Addition
  196.    wt: 1:   3 Navigation with Arrows or Vectors
  197.    wt: 1:   Parallel Lines and Parallel Transversals
  198.    wt: 1:   Triangle Angles Sum To 180 Degrees
  199.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  200.    wt: 1:   Parallel Lines and Interior Angles
  201.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  202.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  203.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  204.    wt: 1:   29 secant cosecant and cotangent for acute angles
  205.    wt: 1:   27 Logarithmic use of products of sines and cosines
  206.    wt: 1:   26 Formulas for products of sines and cosines
  207.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  208.    wt: 1:   21 sine and cosine Half Angle Formulas
  209.    wt: 1:   20 sine and cosine Double Angle Formulas
  210.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  211.    wt: 1:   17E Trig Formulas for dot and cross Products
  212.    wt: 1:   17D cis formulas for sine cosines and tangent
  213.    wt: 1:   17C sine and cosine double triple angle formulas
  214.    wt: 1:   17A The complex number valued trig function cis
  215.    wt: 1:   10 Graphs of sines and cosines many periods
  216.    wt: 1:   9 Graphs of sine and cosine over one period
  217.    wt: 1:   7 period of sine and cosine
  218.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  219.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  220.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  221.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  222.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  223.    wt: 1:   21 Logarithms Powers and Exponentials
  224.    wt: 1:   20 N th Roots of Complex Numbers
  225.    wt: 1:   16 References and Originality Question
  226.    wt: 1:   13 Trig Formulas for dot and cross Products
  227.    wt: 1:   12 cis formulas for sine cosines and tangent
  228.    wt: 1:   11 sine and cosine double triple angle formulas
  229.    wt: 1:   9 The complex number valued trig function cis
  230.    wt: 1:   7 Second Way to Calculate Products
  231.    wt: 1:   6 Field Properties of Complex Number
  232.    wt: 1:   2 Complex Numbers made easier we hope
  233.    wt: 1:   Appetizer A Complex Number Applet
  234.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  235.    wt: 1:   3 Trigonometric Ratios sine and cosine
  236.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  237.    wt: 1:   8 Similarity of Triangles and Polygons
  238.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  239.    wt: 1:   10 Midpoint of [a b] and [b a]
  240.    wt: 1:   1 Numerical view of lines and their equations
  241.    wt: 1:   What is and is not here
  242.    wt: 1:   7 Complex Numbers Appetizer
  243.    wt: 1:   6 Polar Multiplication and Rotation
  244.    wt: 1:   5 Cartesian Addition and Translation
  245.    wt: 1:   PS H Distributive Law For Complex Numbers
  246.    wt: 1:   17 Right Bisectors of Triangle Sides
  247.    wt: 1:   16 Angles Subtended By Chords and Diameters
  248.    wt: 1:   10 Dropping a perpendicular to line
  249.    wt: 1:   9 Construction of a right bisector
  250.    wt: 1:   6 Ruler and compass Angle Bisection
  251.    wt: 1:   1 Initial Concepts and Terms
  252.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  253.    wt: 1:   6 Figuring with Maps Not to Scale
  254.    wt: 1:   4 Angles on Maps Plans drawn to scale
  255.    wt: 1:   musings do not puiblish real numbers
  256.    wt: 1:   A Modular and Remainder Arithmetic
  257.    wt: 1:   A Signed Number Arithmetic Review
  258.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  259.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  260.    wt: 1:   22 Multiplication of Signed Numbers
  261.    wt: 1:   21 Addition of Multiples of a Single Vector
  262.    wt: 1:   19 Signed Multiples of Vectors
  263.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  264.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  265.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  266.    wt: 1:   15 Head to Tails in place Addition Associative
  267.    wt: 1:   12 Real Numbers Line Signed Coordinates
  268.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  269.    wt: 1:   8 Division and Mulplication of Compound Fractions
  270.    wt: 1:   B Decimal Comparison and Subtraction
  271.    wt: 1:   5 Distributive Law for Whole Numbers
  272.    wt: 1:   3 Multiplicative Counting Skills Principles
  273.    wt: 1:   1 The Counting Origins of Numbers
  274.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  275.    wt: 1:   4 Rates Ratios and Proporitionality
  276.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  277.    wt: 1:   6 Compound Interest Forward and Backwards
  278.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  279.    wt: 1:   6 Equations and Systems Equivalent or Implied
  280.    wt: 1:   4 Subtraction and Division Axioms
  281.    wt: 1:   2 Addition and Multiplication Axioms
  282.    wt: 1:   4 Comparison of Negative Numbers
  283.    wt: 1:   3 More and Less Than with Unlike Signs
  284.    wt: 1:   1 Real Numbers Comparison
  285.    wt: 1:   16 Real Numbers Comparison
  286.    wt: 1:   15 Real Number Division
  287.    wt: 1:   14 Real Number Multiplication
  288.    wt: 1:   13 Real Number Subtraction
  289.    wt: 1:   12 Real Number Additive Inverses or Negatives
  290.    wt: 1:   11 Real Number Addition
  291.    wt: 1:   8 Coordinates for Maps and Planes
  292.    wt: 1:   7 Real Numbers as Line Cordinates
  293.    wt: 1:   6 Unsigned Real Numbers
  294.    wt: 1:   5 Rational Numbers More
  295.    wt: 1:   4 Rational Numbers
  296.    wt: 1:   3 Geometric Formulas and Function Notation
  297.    wt: 1:   1 Formulas Dependence and Function Notation
  298.    wt: 1:   3 GE III Equation Addition and Multiplication
  299.    wt: 1:   Formula Usage Show Work Format
  300.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  301.    wt: 1:   9 Sets in Probability and Statistics
  302.    wt: 1:   8 Sets of Numbers
  303.    wt: 1:   3 Adding Words To Arithmetic
  304.    wt: 1:   1 Three Skills For Algebra
  305.    wt: 1:   3 Comparison of Negative Numbers
  306.    wt: 1:   2 More and Less Than with Unlike Signs
  307.    wt: 1:   1 Squares and Square Roots Introduction
  308.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  309.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  310.    wt: 1:   13 GCD from given Prime Factorization
  311.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  312.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  313.    wt: 1:   4 LCM of 8 and 10 via Prime
  314.    wt: 1:   3 Counting with Tables and Trees II
  315.    wt: 1:   2 Counting with Tables and Trees I
  316.    wt: 1:   1 Counting and Counting Methods I
  317.    wt: 1:   10 dividing signed numbers
  318.    wt: 1:   9 subtracting signed numbers
  319.    wt: 1:   7 negative and additive inverse
  320.    wt: 1:   6 adding signed numbers
  321.    wt: 1:   3 signed coordinates for maps and planes
  322.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  323.    wt: 1:   2 Equality and Units
  324.    wt: 1:   1 Addition and Subtraction with Units
  325.    wt: 1:   B Fractions and Two Term Ratios
  326.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  327.    wt: 1:   21 Reciprocals for Fractions and Wholes
  328.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  329.    wt: 1:   6 Multiplication of Mixed Numbers
  330.    wt: 1:   11 Adding Integers Formulas and Examples
  331.    wt: 1:   9 Multiplying Integers
  332.    wt: 1:   8 Multiplication by Signed Numbers Integers
  333.    wt: 1:   6 Multiplication by Natural Numbers
  334.    wt: 1:   5 Zero Movement and Additive Inverses
  335.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  336.    wt: 1:   20 Uniqueness of Prime Factorization
  337.    wt: 1:   19 video Prime Factorization Unique
  338.    wt: 1:   16 video Factors of 980 using prime
  339.    wt: 1:   14 video Factors of 24 Take II
  340.    wt: 1:   13 video Factors of 24 using prime
  341.    wt: 1:   12 LCD GCD and LCM using Primes
  342.    wt: 1:   4 video Prime Factorization Introduction
  343.    wt: 1:   3 video Primes and Composites from 9 times table
  344.    wt: 1:   2 Prime and Composites less than 16
  345.    wt: 1:   Division with Counts and Length
  346.    wt: 1:   Long Division forwards and backwards Example 3
  347.    wt: 1:   Long Division forwards and backwards Example 2
  348.    wt: 1:   Long Division forwards and backwards Example 1
  349.    wt: 1:   10 Division by Five Long and Short Ways
  350.    wt: 1:   4 Two and Three Digit Multipliers
  351.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  352.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  353.    wt: 1:   11 Place Value SI Standard International way
  354.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  355.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  356.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  357.    wt: 1:   Exact Arithmetic Wholes and Fractions
  358.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  359.    wt: 1:   016 Numbering Occidental Calendar Days
  360.    wt: 1:   015 School and work day counting tables
  361.    wt: 1:   011 Division of Time Intervals By Numbers
  362.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  363.    wt: 1:   8 Addition of Time Intervals via subtotaling
  364.    wt: 1:   6 How long is a million seconds
  365.    wt: 1:   4 Mixing and Changing Units of Time
  366.    wt: 1:   3 Units and Lengths of Time
  367.    wt: 1:   2 Time and Date Matters in School
  368.    wt: 1:   Example 1. Area Between x and x squared
  369.    wt: 1:   17 Derivatives of quotients of sine and cosine
  370.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  371.    wt: 1:   15 sine and cosine derivatives 3rd step
  372.    wt: 1:   14 sine and cosine derivatives 2nd step
  373.    wt: 1:   13 sine and cosine derivatives 1st step
  374.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  375.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  376.    wt: 1:   9 Limits Continuity and Composition
  377.    wt: 1:   5 Jumps and absence of unlimited error control
  378.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  379.    wt: 1:   D2 Limits of Monotone Sequences
  380.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  381.    wt: 1:   PostScript For and Against Decimal Perspectives
  382.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  383.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  384.    wt: 1:   Chapter 23 Links To Trigonometry
  385.    wt: 1:   Chapter 22 Complex Numbers
  386.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  387.    wt: 1:   Chapter 12. Units and Slopes
  388.    wt: 1:   Chapter 10 Slopes and Units
  389.    wt: 1:   Chapter 7 Slopes and Velocity
  390.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  391.    wt: 1:   Chapter 2. Slopes and Ski Trails
  392.    wt: 1:   Chapter 31 Direct and Indirect Reason
  393.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  394.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  395.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  396.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  397.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  398.    wt: 1:   Chapter 20. Degrees and Radians
  399.    wt: 1:   Chapter 19. Functions and Sets
  400.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  401.    wt: 1:   Chapter 12. Shorthand Usage Guide
  402.    wt: 1:   Chapter 11. Why Shorthand
  403.    wt: 1:   Chapter 10 Describing and Changing Calculations
  404.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  405.    wt: 1:   Chapter 8 Three Skills For Algebra
  406.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  407.    wt: 1:   Annotated Links to Material Elsehwere
  408.    wt: 1:   Chapter 2 For and Against Mathematics
  409.    wt: 1:   Postscript C Consistency as a Tool for Reason
  410.    wt: 1:   Postscript A Story Telling
  411.    wt: 1:   Chapter 24 Direct and Indirect Reason
  412.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  413.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  414.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  415.    wt: 1:   Chapter 18 Sense and Knowledge
  416.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  417.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  418.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  419.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  420.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  421.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  422.    wt: 1:   S Adding words to algebra
  423.    wt: 1:   R Why Learn Mathematics Skills
  424.    wt: 1:   O On Learning Mathematics and Science
  425.    wt: 1:   M Words to extend arithmetic
  426.    wt: 1:   L Skills with take home value
  427.    wt: 1:   N Improving Marks on Tests and Finals
  428.    wt: 1:   H more Routine to non routine problem solving
  429.    wt: 1:   H Jigsaw puzzles and problem solving
  430.    wt: 1:   F. The student teacher tutor feedback loop
  431.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  432.    wt: 1:   Chapter 6 More Algebra and Geometry
  433.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  434.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  435.    wt: 1:   7 Games and Activities for Instruction
  436.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  437.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  438.    wt: 1:   Helping the Blind in Logic and Mathematics
  439.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  440.    wt: 1:   More Algebra and Slope based Calculus Preview
  441.    wt: 1:   Which Way To Go
  442.    wt: 1:   The Math Forum and Site Content

Extended Search

814 matches:

  1.    wt: 9:   1 More and Less Than for Counts and Measures
  2.    wt: 9:   3 Multiplying Units and Numbers
  3.    wt: 9:   18 video Count Factors given Prime Factorization
  4.    wt: 9:   17 Identify and Count Factors using Primes
  5.    wt: 9:   15 video Factors of 20 using Prime Factorization
  6.    wt: 9:   10 video Prime Factorization upto 23 squared
  7.    wt: 9:   9 video Prime Factorization upto 19 squared
  8.    wt: 9:   8 video Prime Factorization upto 19
  9.    wt: 9:   7 Calculator Usage Notes and Cautions
  10.    wt: 9:   6 Sieve of Eratosthenes and Square Rule
  11.    wt: 9:   5 Prime Factorization and a Square Rule
  12.    wt: 9:   1 video how Products are bigger than factor
  13.    wt: 9:   8 What skills and work habits to require
  14.    wt: 8:   3 Comparison of Negative Numbers
  15.    wt: 8:   2 More and Less Than with Unlike Signs
  16.    wt: 8:   7 GCD and LCM from prime factorization
  17.    wt: 8:   3 Counting with Tables and Trees II
  18.    wt: 8:   2 Counting with Tables and Trees I
  19.    wt: 8:   1 Counting and Counting Methods I
  20.    wt: 8:   11 What are real lengths and numbers
  21.    wt: 8:   8 multiplying signed numbers
  22.    wt: 8:   5 lengths and signs of numbers
  23.    wt: 8:   2 signed and unsigned numbers as coordinates
  24.    wt: 8:   C Equality for Fractions and Two Term Ratios and Fractions
  25.    wt: 8:   19 Dividing Fractions How TO
  26.    wt: 8:   18 Efficient Ways to Multiply
  27.    wt: 8:   17 Efficient Ways to Add and Subtract
  28.    wt: 8:   15 Adding and Subtracting with Unlike Denominators
  29.    wt: 8:   14 Adding and Subtracting with Like Denominators
  30.    wt: 8:   9 Improper Fractions and Mixed Numbers
  31.    wt: 8:   20 Uniqueness of Prime Factorization
  32.    wt: 8:   19 video Prime Factorization Unique
  33.    wt: 8:   16 video Factors of 980 using prime
  34.    wt: 8:   14 video Factors of 24 Take II
  35.    wt: 8:   13 video Factors of 24 using prime
  36.    wt: 8:   12 LCD GCD and LCM using Primes
  37.    wt: 8:   4 video Prime Factorization Introduction
  38.    wt: 8:   3 video Primes and Composites from 9 times table
  39.    wt: 8:   2 Prime and Composites less than 16
  40.    wt: 8:   3 Harder Cases Convert to Compare and Subtract
  41.    wt: 8:   6. Counting and adding units and mixed units
  42.    wt: 8:   5. How to add decimals C. Examples
  43.    wt: 8:   4. How to add with decimals B with conversions
  44.    wt: 8:   3. How to add with decimals A sans conversions
  45.    wt: 8:   Quick history of numbers and algebra
  46.    wt: 8:   Formula Evaluation how to show work
  47.    wt: 8:   Expression Evaluation how to show work
  48.    wt: 7:   4 Greater More Less Than Signs in General
  49.    wt: 7:   1 Squares and Square Roots Introduction
  50.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  51.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  52.    wt: 7:   13 GCD from given Prime Factorization
  53.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  54.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  55.    wt: 7:   4 LCM of 8 and 10 via Prime
  56.    wt: 7:   5 Counting with Tables Trees Product Rule Take II
  57.    wt: 7:   4 Counting with Trees Product Rule Take I
  58.    wt: 7:   10 dividing signed numbers
  59.    wt: 7:   9 subtracting signed numbers
  60.    wt: 7:   7 negative and additive inverse
  61.    wt: 7:   6 adding signed numbers
  62.    wt: 7:   3 signed coordinates for maps and planes
  63.    wt: 7:   5 Reciprocals and Division for Fractions with Units
  64.    wt: 7:   2 Equality and Units
  65.    wt: 7:   1 Addition and Subtraction with Units
  66.    wt: 7:   B Fractions and Two Term Ratios
  67.    wt: 7:   A Similarities between Fractions and Two Term Ratios
  68.    wt: 7:   21 Reciprocals for Fractions and Wholes
  69.    wt: 7:   10 Simplification of Fractions and Mixed Numerals
  70.    wt: 7:   6 Multiplication of Mixed Numbers
  71.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  72.    wt: 7:   11 Efficient Square Rule Use
  73.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  74.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  75.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  76.    wt: 6:   9 Summary Degrees to Radians and back
  77.    wt: 6:   4 Circle Sector Area proportional to Central Angle
  78.    wt: 6:   5 Square Roots with primes more still
  79.    wt: 6:   4 Square Roots with primes more
  80.    wt: 6:   3 Properties of Square Roots with example
  81.    wt: 6:   2 Square Roots with Prime
  82.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  83.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  84.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  85.    wt: 6:   8 GCD from Euclidean Algorithm
  86.    wt: 6:   6 GCD from Prime
  87.    wt: 6:   5 Common Divisors 60 45 via Prime
  88.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  89.    wt: 6:   2 Least Common Multiple LCM intro via list method
  90.    wt: 6:   1 Least Common Multiples LCM Introduction
  91.    wt: 6:   12 GCD 2700 288 via Prime
  92.    wt: 6:   4 signed coordinates for regions in space
  93.    wt: 6:   7 Converting or Changing Units
  94.    wt: 6:   6 Simplification of Fractions with Units
  95.    wt: 6:   4 Fractions with Units
  96.    wt: 6:   D Three Term Ratios
  97.    wt: 6:   22 Complex Compound Fractions
  98.    wt: 6:   21 Working With Signs
  99.    wt: 6:   20 Dividing Fractions the Why
  100.    wt: 6:   16 Addition Subtraction Comparision Compared
  101.    wt: 6:   13 Fraction Comparison Algebraic View
  102.    wt: 6:   12 Fraction Comparison
  103.    wt: 6:   11 Simplification an Algebraic View
  104.    wt: 6:   8 Numerals Fractionals Quantals Take II
  105.    wt: 6:   7 Numerals Fractionals Quantals
  106.    wt: 6:   6 Multiplication Algebraically Take II
  107.    wt: 6:   5 Equivalent Fractions
  108.    wt: 6:   4 Fraction Multiplication
  109.    wt: 6:   3 Unit fraction of a fraction
  110.    wt: 6:   2 Unit Fraction Multiplication
  111.    wt: 6:   1 What is a fraction Take II
  112.    wt: 6:   1 What is a fraction
  113.    wt: 6:   Fraction Operations by Raising Terms A Simple Innovation
  114.    wt: 6:   11 Adding Integers Formulas and Examples
  115.    wt: 6:   9 Multiplying Integers
  116.    wt: 6:   8 Multiplication by Signed Numbers Integers
  117.    wt: 6:   6 Multiplication by Natural Numbers
  118.    wt: 6:   5 Zero Movement and Additive Inverses
  119.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  120.    wt: 6:   26 Divisibility by 2 3 5 Example
  121.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  122.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  123.    wt: 6:   23 Remainder Arithmetic Modulo 2
  124.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  125.    wt: 6:   21 Remainder Arithmetic Modulo 3
  126.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  127.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  128.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  129.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  130.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  131.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  132.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  133.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  134.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  135.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  136.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  137.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  138.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  139.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  140.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  141.    wt: 6:   5 Remainder Arithmetic Modulo 5
  142.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  143.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  144.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  145.    wt: 6:   1 Remainder Arithmetic Modulo 10
  146.    wt: 6:   Division with Counts and Length
  147.    wt: 6:   Long Division forwards and backwards Example 3
  148.    wt: 6:   Long Division forwards and backwards Example 2
  149.    wt: 6:   Long Division forwards and backwards Example 1
  150.    wt: 6:   10 Division by Five Long and Short Ways
  151.    wt: 6:   4 Two and Three Digit Multipliers
  152.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  153.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  154.    wt: 6:   Subtraction with J Conversions Example
  155.    wt: 6:   Subtraction Another Video Lesson
  156.    wt: 6:   9 22 Minute Subtraction Review Video
  157.    wt: 6:   8 Subtraction with Units of Measure
  158.    wt: 6:   7 Subtraction for Decimal Fractions with Exercises
  159.    wt: 6:   6 Subtraction with Conversion Example with Exercises
  160.    wt: 6:   5 A Tip for Efficent Subtraction
  161.    wt: 6:   2 Subtraction Easy Case Examples
  162.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  163.    wt: 6:   7 Adding decimal fractions using decimal point
  164.    wt: 6:   2 Decimal Counting Practices
  165.    wt: 6:   1. Explaining Addition Table
  166.    wt: 6:   11 Place Value SI Standard International way
  167.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  168.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  169.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  170.    wt: 6:   Exact Arithmetic Wholes and Fractions
  171.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  172.    wt: 5:   6 Radian Measure to Degrees
  173.    wt: 5:   5 Degrees to Radian Measure
  174.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  175.    wt: 5:   1 Degrees and Radians Introduction
  176.    wt: 5:   Vector and Complex Number Applet
  177.    wt: 5:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  178.    wt: 5:   arithmetic videos Real Player Format
  179.    wt: 5:   D Remainders Modulo 11 Pair Rule
  180.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  181.    wt: 5:   B Integer Long Division Multiple Choices
  182.    wt: 5:   A Associative Law Theorectical Note
  183.    wt: 5:   13 Subtraction with Additive Inverse
  184.    wt: 5:   12 Adding Integers More Examples
  185.    wt: 5:   10 Integer Multiplication Formulas
  186.    wt: 5:   7 Multiplication by Signs
  187.    wt: 5:   4 Adding Movements wiht opposite directions
  188.    wt: 5:   3 Adding Movements with same direction
  189.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  190.    wt: 5:   1 Integers as Coordinates
  191.    wt: 5:   Long Division Backwards more
  192.    wt: 5:   Long Division Backward
  193.    wt: 5:   12 Why Long Division Works Take III
  194.    wt: 5:   11 Another Single Digit Divisor Example
  195.    wt: 5:   9 Why Long Division Works Take II
  196.    wt: 5:   8 Correcting the Mistake
  197.    wt: 5:   7 Long Divison Mistake Catching
  198.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  199.    wt: 5:   5 Long Division Include Zeroes or not
  200.    wt: 5:   4 Division with 2 Digit Divsors
  201.    wt: 5:   3 Division Single Digit Divisor Example
  202.    wt: 5:   2 Division with Single Digit Divisors
  203.    wt: 5:   1 Divsion Physical Examples
  204.    wt: 5:   D Decimal Multiplication Methods Derived
  205.    wt: 5:   C Counting Areas with Powers of Ten
  206.    wt: 5:   B Powers of Ten
  207.    wt: 5:   A Elementary Basis for Multiplication Methods
  208.    wt: 5:   6 Multiplication Commutes Order Not Important
  209.    wt: 5:   5 Decimal Fraction Multiplication
  210.    wt: 5:   3 More One Digit Multipliers
  211.    wt: 5:   2 One Digit Multipliers
  212.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  213.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  214.    wt: 5:   Video Power Notation in Decimal Expansion
  215.    wt: 5:   1 Why 3 times 5 gives 15
  216.    wt: 5:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  217.    wt: 5:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  218.    wt: 5:   5 More on Groups of 3 Place Value in Decimal Fractions
  219.    wt: 5:   4 Groups of 3 Place Value in Decimal Fractions
  220.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  221.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  222.    wt: 5:   The 20 Times Table
  223.    wt: 5:   The 12 Times Table Visually
  224.    wt: 5:   About folder contents
  225.    wt: 5:   How to Build Skills and Confidence
  226.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  227.    wt: 5:   1 From Number Recognition and Counting to Arithmetic B
  228.    wt: 5:   1 From Number Recognition and Counting to Arithmetic A
  229.    wt: 4:   8 Radian Measures of Common Angles
  230.    wt: 4:   7 Radian Measures in special Triangles
  231.    wt: 4:   2 Radian Measure Numerical Value of one degree
  232.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  233.    wt: 4:   7 Exercises to test skill and concept mastery
  234.    wt: 4:   4 Polar Coordinates to and from
  235.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  236.    wt: 4:   Appendix E. How To Study Mathematics and Why
  237.    wt: 4:   Q How Logic and Proofs extend Show Work Practices
  238.    wt: 4:   E. When and how to correct errors
  239.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  240.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  241.    wt: 3:   How to be a better instructor
  242.    wt: 3:   Ages 12 to 14 Skills with take home value
  243.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  244.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  245.    wt: 3:   13 From one to one to many to one
  246.    wt: 3:   A Global Time and Navigation
  247.    wt: 3:   15 Dot and Cross Product
  248.    wt: 3:   13 Velocity Vectors in Physics
  249.    wt: 3:   12 From Applied To Pure Mathematics
  250.    wt: 3:   9 Head to Tail Coordinate View
  251.    wt: 3:   8 Parallel Vectors
  252.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  253.    wt: 3:   6 Vectors with Coordinates
  254.    wt: 3:   5 Head To Tail Arrow Addition
  255.    wt: 3:   3 Navigation with Arrows or Vectors
  256.    wt: 3:   Parallel Lines and Parallel Transversals
  257.    wt: 3:   Triangle Angles Sum To 180 Degrees
  258.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  259.    wt: 3:   Parallel Lines and Interior Angles
  260.    wt: 3:   14 cosine even and sine and tangent are odd
  261.    wt: 3:   21 Logarithms Powers and Exponentials
  262.    wt: 3:   20 N th Roots of Complex Numbers
  263.    wt: 3:   16 References and Originality Question
  264.    wt: 3:   13 Trig Formulas for dot and cross Products
  265.    wt: 3:   12 cis formulas for sine cosines and tangent
  266.    wt: 3:   11 sine and cosine double triple angle formulas
  267.    wt: 3:   9 The complex number valued trig function cis
  268.    wt: 3:   7 Second Way to Calculate Products
  269.    wt: 3:   6 Field Properties of Complex Number
  270.    wt: 3:   2 Complex Numbers made easier we hope
  271.    wt: 3:   Appetizer A Complex Number Applet
  272.    wt: 3:   13 Navigation Location from Angles to 2 Landmarks
  273.    wt: 3:   10 Midpoint of [a b] and [b a]
  274.    wt: 3:   1 Numerical view of lines and their equations
  275.    wt: 3:   What is and is not here
  276.    wt: 3:   7 Complex Numbers Appetizer
  277.    wt: 3:   6 Polar Multiplication and Rotation
  278.    wt: 3:   5 Cartesian Addition and Translation
  279.    wt: 3:   PS H Distributive Law For Complex Numbers
  280.    wt: 3:   17 Right Bisectors of Triangle Sides
  281.    wt: 3:   16 Angles Subtended By Chords and Diameters
  282.    wt: 3:   10 Dropping a perpendicular to line
  283.    wt: 3:   9 Construction of a right bisector
  284.    wt: 3:   6 Ruler and compass Angle Bisection
  285.    wt: 3:   1 Initial Concepts and Terms
  286.    wt: 3:   5 Drawing to Scale Avoids Angle Distortions
  287.    wt: 3:   3 Lengths and Areas on Maps and Plans
  288.    wt: 3:   13 Arrows and Vectors in a Plane
  289.    wt: 3:   11 Signed Number Addition and Addition Properties
  290.    wt: 3:   2 Combing Counts Addition Skills and Principles
  291.    wt: 3:   2 More and Less Than for Counts and Measures
  292.    wt: 3:   10 Real Number Lengths and Signs
  293.    wt: 3:   1 Whole and Natural Numbers
  294.    wt: 3:   4 A Brief Story of numbers and algebra
  295.    wt: 3:   1 Intro of Kids To Time Date Skills
  296.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  297.    wt: 3:   Appendix D. What to do in School and Why
  298.    wt: 3:   Appendix C. How to Read
  299.    wt: 3:   Appendix B. How To Learn
  300.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  301.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  302.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  303.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  304.    wt: 3:   J. More on written work and showing skill
  305.    wt: 3:   I. Logic and language skills
  306.    wt: 3:   G. Written work formats for developing and showing skill
  307.    wt: 3:   A. Skill has to be seen to believed
  308.    wt: 3:   7 Games and Activities for Instruction
  309.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  310.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  311.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  312.    wt: 2:   Ramblings Extrinsic numbers theory
  313.    wt: 2:   04 25 when to stop or suspend mathemat
  314.    wt: 2:   Home Tutoring and Home Schooling
  315.    wt: 2:   2 Reading and Writing Skills
  316.    wt: 2:   Ages 12 to 14 Geometry
  317.    wt: 2:   Ages 12 to 14 Arithmetic
  318.    wt: 2:   Ages 10 to 12 Geometry
  319.    wt: 2:   Ages 10 to 12 Arithmetic
  320.    wt: 2:   Ages 9 to 10
  321.    wt: 2:   Ages 8 to 9
  322.    wt: 2:   Ages 7 to 8
  323.    wt: 2:   Ages 6 to 7
  324.    wt: 2:   Ages 4 plus to 5 plus
  325.    wt: 2:   Ages 3 plus to 4 plus
  326.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  327.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  328.    wt: 2:   8 Notes for instructors or tutors
  329.    wt: 2:   16 cotangent function Definition Graph and Inverse
  330.    wt: 2:   15 cosecant function Definition Graph and Inverse
  331.    wt: 2:   14 secant function Definition Graph and Inverse
  332.    wt: 2:   13 cosecant function Definition Graph and Inverse
  333.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  334.    wt: 2:   11 Component Method
  335.    wt: 2:   10 Parallelogram Addition Method
  336.    wt: 2:   4 Resultant of a Sum of Movements
  337.    wt: 2:   2 Signed Coordinates
  338.    wt: 2:   1 Unsigned Coordinates
  339.    wt: 2:   4 graphing y=Asin(x c)
  340.    wt: 2:   3 graphing y=f(x c) plus K
  341.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  342.    wt: 2:   1 graphing y=f(x a)
  343.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  344.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  345.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  346.    wt: 2:   Straight Lines ASA Intersection Study More
  347.    wt: 2:   Straight Lines ASA Intersection Study
  348.    wt: 2:   Straight Lines Instersection Solving Equations
  349.    wt: 2:   Straight Lines Intersection of
  350.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  351.    wt: 2:   C Straight Lines Slope from Coordinates
  352.    wt: 2:   B Straight Line Slope Scaling Properties More
  353.    wt: 2:   A Straight Line Slope Scaling Properties
  354.    wt: 2:   14 Straight Lines Equations General Case
  355.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  356.    wt: 2:   12 Straight Lines Graphing mx plus b
  357.    wt: 2:   11 Straight Lines Graphing y=mx
  358.    wt: 2:   10 Straight Lines through Origin Equations More
  359.    wt: 2:   9 Straight Lines through Origin Equations
  360.    wt: 2:   8 Straight Lines Equation for vertical
  361.    wt: 2:   7 Tangent Function is odd on this domain
  362.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  363.    wt: 2:   5 Tangent Function Graph
  364.    wt: 2:   4 Tangent Function Properties
  365.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  366.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  367.    wt: 2:   1 Straight Lines Slope Concept
  368.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  369.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  370.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  371.    wt: 2:   29 secant cosecant and cotangent for acute angles
  372.    wt: 2:   27 Logarithmic use of products of sines and cosines
  373.    wt: 2:   26 Formulas for products of sines and cosines
  374.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  375.    wt: 2:   21 sine and cosine Half Angle Formulas
  376.    wt: 2:   20 sine and cosine Double Angle Formulas
  377.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  378.    wt: 2:   17E Trig Formulas for dot and cross Products
  379.    wt: 2:   17D cis formulas for sine cosines and tangent
  380.    wt: 2:   17C sine and cosine double triple angle formulas
  381.    wt: 2:   17A The complex number valued trig function cis
  382.    wt: 2:   10 Graphs of sines and cosines many periods
  383.    wt: 2:   9 Graphs of sine and cosine over one period
  384.    wt: 2:   7 period of sine and cosine
  385.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  386.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  387.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  388.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  389.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  390.    wt: 2:   19 N th Roots of Unity
  391.    wt: 2:   18 Sixth Roots of Unity
  392.    wt: 2:   17 Cube Roots of unity
  393.    wt: 2:   15 Pythagorean Theorem Converse
  394.    wt: 2:   14 Law of cosines
  395.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  396.    wt: 2:   8 Unit Circle Development of Trigonometry
  397.    wt: 2:   5 An Easy Proof of the Distributive Law
  398.    wt: 2:   4 Multiplication Properties
  399.    wt: 2:   3 Addition Properties
  400.    wt: 2:   1 Rectangular Polar Coordinates Review
  401.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  402.    wt: 2:   3 Trigonometric Ratios sine and cosine
  403.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  404.    wt: 2:   8 Similarity of Triangles and Polygons
  405.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  406.    wt: 2:   Four Simple Exercises
  407.    wt: 2:   12 Links Lessons elsewhere
  408.    wt: 2:   11 A Partial Summary
  409.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  410.    wt: 2:   8 Mid Point Formula
  411.    wt: 2:   6 Intersection of lines by solving linear systems
  412.    wt: 2:   5 Algebraic View of Slopes
  413.    wt: 2:   4 Equations for lines three forms
  414.    wt: 2:   3 Slope product for perpendicular lines
  415.    wt: 2:   2 point slope equation for a line
  416.    wt: 2:   13 Pythagorean spatial distance formulas
  417.    wt: 2:   12 Spatial Coordinates
  418.    wt: 2:   11 Triangle Inequality
  419.    wt: 2:   10 Pythagorean plane distance formula
  420.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  421.    wt: 2:   8 Distance Between Points on a Line
  422.    wt: 2:   3 Rectangular Coordinates Review
  423.    wt: 2:   2 Cartesian Coordinates with signs
  424.    wt: 2:   1 Cartesian Coordinates sans signs
  425.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  426.    wt: 2:   PS G Rotation Distributes over Addition
  427.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  428.    wt: 2:   PS E Multiplication with Polar Coordinates
  429.    wt: 2:   PS D Addition with Cartesian Coordinates
  430.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  431.    wt: 2:   PS B Parallelogram Construction Methods
  432.    wt: 2:   PS A Kite Construction Methods
  433.    wt: 2:   21 Parallelograms
  434.    wt: 2:   19 Right Triangle Similarity
  435.    wt: 2:   18 Triangle Similarity Take 1
  436.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  437.    wt: 2:   14 Parallel Lines Postulate
  438.    wt: 2:   13 Angle Side Angle Failure
  439.    wt: 2:   12 Side Angle Side Failure
  440.    wt: 2:   11 Triangle Construction Fails
  441.    wt: 2:   8 Isoceles Triangles
  442.    wt: 2:   7 Angle Side Angle
  443.    wt: 2:   5 Side Angle Side
  444.    wt: 2:   4 Side Side Side
  445.    wt: 2:   3 Isometry of Triangles Congruence
  446.    wt: 2:   2 Correspondence between Triangles
  447.    wt: 2:   Short Course on Euclidean Geometry
  448.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  449.    wt: 2:   6 Figuring with Maps Not to Scale
  450.    wt: 2:   4 Angles on Maps Plans drawn to scale
  451.    wt: 2:   musings do not puiblish real numbers
  452.    wt: 2:   A Modular and Remainder Arithmetic
  453.    wt: 2:   A Signed Number Arithmetic Review
  454.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  455.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  456.    wt: 2:   22 Multiplication of Signed Numbers
  457.    wt: 2:   21 Addition of Multiples of a Single Vector
  458.    wt: 2:   19 Signed Multiples of Vectors
  459.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  460.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  461.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  462.    wt: 2:   15 Head to Tails in place Addition Associative
  463.    wt: 2:   12 Real Numbers Line Signed Coordinates
  464.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  465.    wt: 2:   8 Division and Mulplication of Compound Fractions
  466.    wt: 2:   B Decimal Comparison and Subtraction
  467.    wt: 2:   5 Distributive Law for Whole Numbers
  468.    wt: 2:   3 Multiplicative Counting Skills Principles
  469.    wt: 2:   1 The Counting Origins of Numbers
  470.    wt: 2:   4 Rates Ratios and Proporitionality
  471.    wt: 2:   6 Equations and Systems Equivalent or Implied
  472.    wt: 2:   4 Subtraction and Division Axioms
  473.    wt: 2:   2 Addition and Multiplication Axioms
  474.    wt: 2:   4 Comparison of Negative Numbers
  475.    wt: 2:   3 More and Less Than with Unlike Signs
  476.    wt: 2:   1 Real Numbers Comparison
  477.    wt: 2:   16 Real Numbers Comparison
  478.    wt: 2:   15 Real Number Division
  479.    wt: 2:   14 Real Number Multiplication
  480.    wt: 2:   13 Real Number Subtraction
  481.    wt: 2:   12 Real Number Additive Inverses or Negatives
  482.    wt: 2:   11 Real Number Addition
  483.    wt: 2:   8 Coordinates for Maps and Planes
  484.    wt: 2:   7 Real Numbers as Line Cordinates
  485.    wt: 2:   6 Unsigned Real Numbers
  486.    wt: 2:   5 Rational Numbers More
  487.    wt: 2:   4 Rational Numbers
  488.    wt: 2:   3 Geometric Formulas and Function Notation
  489.    wt: 2:   1 Formulas Dependence and Function Notation
  490.    wt: 2:   1 Written work formats for developing and showing skill
  491.    wt: 2:   5 Talking about Numbers and Quantities
  492.    wt: 2:   016 Numbering Occidental Calendar Days
  493.    wt: 2:   015 School and work day counting tables
  494.    wt: 2:   011 Division of Time Intervals By Numbers
  495.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  496.    wt: 2:   8 Addition of Time Intervals via subtotaling
  497.    wt: 2:   6 How long is a million seconds
  498.    wt: 2:   4 Mixing and Changing Units of Time
  499.    wt: 2:   3 Units and Lengths of Time
  500.    wt: 2:   2 Time and Date Matters in School
  501.    wt: 2:   Example 1. Area Between x and x squared
  502.    wt: 2:   38 Formulas and derivatives for powers and roots
  503.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  504.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  505.    wt: 2:   9 Limits Continuity and Composition
  506.    wt: 2:   5 Jumps and absence of unlimited error control
  507.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  508.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  509.    wt: 2:   Chapter 31 Direct and Indirect Reason
  510.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  511.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  512.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  513.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  514.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  515.    wt: 2:   Chapter 20. Degrees and Radians
  516.    wt: 2:   Chapter 19. Functions and Sets
  517.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  518.    wt: 2:   Chapter 12. Shorthand Usage Guide
  519.    wt: 2:   Chapter 11. Why Shorthand
  520.    wt: 2:   Chapter 10 Describing and Changing Calculations
  521.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  522.    wt: 2:   Chapter 8 Three Skills For Algebra
  523.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  524.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  525.    wt: 2:   Postscript B More on Story Telling and Reason
  526.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  527.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  528.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  529.    wt: 2:   S Adding words to algebra
  530.    wt: 2:   R Why Learn Mathematics Skills
  531.    wt: 2:   O On Learning Mathematics and Science
  532.    wt: 2:   M Words to extend arithmetic
  533.    wt: 2:   L Skills with take home value
  534.    wt: 2:   N Improving Marks on Tests and Finals
  535.    wt: 2:   H more Routine to non routine problem solving
  536.    wt: 2:   H Jigsaw puzzles and problem solving
  537.    wt: 2:   F. The student teacher tutor feedback loop
  538.    wt: 2:   Chapter 8 Skipped Topics and Why
  539.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  540.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  541.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  542.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  543.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  544.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  545.    wt: 1:   Appendix 1 primary and preschool mathematic
  546.    wt: 1:   G LAMP Introduction Problem Solving Skills
  547.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  548.    wt: 1:   Skills Chapter 5 Calculus
  549.    wt: 1:   Skills Chapter 4 Logic
  550.    wt: 1:   Skills Chapter 3 Algebra
  551.    wt: 1:   Skills Chapter 2 Geometry
  552.    wt: 1:   Skills Chapter 1 Arithmetic
  553.    wt: 1:   Skills Chapter 0 Introduction
  554.    wt: 1:   9 combinatorics probability sets
  555.    wt: 1:   7 logic review and decimals an odd combination
  556.    wt: 1:   5 logarithms and exponentials etc
  557.    wt: 1:   2 arithmetic with signed numbers
  558.    wt: 1:   1 arithmetic with unsigned numbers
  559.    wt: 1:   which way to go
  560.    wt: 1:   three goals to set for students
  561.    wt: 1:   key notes and themes
  562.    wt: 1:   grouping students according to ability
  563.    wt: 1:   what should be learnt and When
  564.    wt: 1:   how letters appear
  565.    wt: 1:   What to Tell Students
  566.    wt: 1:   teaching tutoring algebraic reason
  567.    wt: 1:   standards for course material
  568.    wt: 1:   Operational Viewpoint to Value
  569.    wt: 1:   Theory of Knowledge
  570.    wt: 1:   Education in mathematics science and technology
  571.    wt: 1:   Four ways to improve education reform
  572.    wt: 1:   Motivation and Context Problem
  573.    wt: 1:   fairness and inductive principles for instruction
  574.    wt: 1:   words for mathematics instructor
  575.    wt: 1:   3 Like resistors in parallel
  576.    wt: 1:   2 Unlike resistors in parallel01
  577.    wt: 1:   1 Like resistors in series
  578.    wt: 1:   F Unlike Resistors in Series
  579.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  580.    wt: 1:   24 Standards For Skill Develoment Take II
  581.    wt: 1:   24 Standards For Skill Develoment
  582.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  583.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  584.    wt: 1:   17 Math Booklets for children and young teenagers
  585.    wt: 1:   14 Multiplication and Times Tables
  586.    wt: 1:   13 Addition and Addition Tables
  587.    wt: 1:   12 Goals and Objectives For Mathematics
  588.    wt: 1:   11 Help and Defend Your Child or Teens Education
  589.    wt: 1:   5 Patience Please for Yourself and Your Charges
  590.    wt: 1:   4 Learning Takes Time and Effort
  591.    wt: 1:   1 Speaking Skills
  592.    wt: 1:   sign monoticity analysis example 4
  593.    wt: 1:   sign monoticity analysis example 3
  594.    wt: 1:   sign monoticity analysis example 2
  595.    wt: 1:   sign monoticity analysis example 1
  596.    wt: 1:   26 Function definitions done and coming
  597.    wt: 1:   19 Horizontal line rule and method
  598.    wt: 1:   18 Vertical Line Rule and Method
  599.    wt: 1:   17 Function maxima minima and their location
  600.    wt: 1:   11 Function Domain Range Source and Targets
  601.    wt: 1:   9 Set theory term relation possible origins
  602.    wt: 1:   8 Set view of relations and functions
  603.    wt: 1:   6 Set Existence Formation and Notation
  604.    wt: 1:   4 Function notation in and beyond mathematics
  605.    wt: 1:   9 quadratics physical and further context
  606.    wt: 1:   3 quadratics factoring by inspection
  607.    wt: 1:   11 Growth and Decay in Biology
  608.    wt: 1:   10 Exponential Growth and Decay Models
  609.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  610.    wt: 1:   5 Natural Logarithm Calculator Exercises
  611.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  612.    wt: 1:   1 Calculator Starter Exercises
  613.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  614.    wt: 1:   12 motivation for term arctan
  615.    wt: 1:   11 arctan left inverse of tangent Graph
  616.    wt: 1:   10 arctan left inverse of tangent Definition
  617.    wt: 1:   9 motivation for name arcsin
  618.    wt: 1:   8 arcsin left inverse of sine Graph
  619.    wt: 1:   7 arcsin left inverse of sine Definition
  620.    wt: 1:   6 Graph of arccos function
  621.    wt: 1:   5 Swapping Coordinates is a reflection
  622.    wt: 1:   4 possible motivation for term arccos
  623.    wt: 1:   3 Left Inverse of cosine arccos definition
  624.    wt: 1:   2 cosine function more properties
  625.    wt: 1:   1 cosine function properties
  626.    wt: 1:   17 tangent function angle sum formulas
  627.    wt: 1:   32 seven rows of pascals triangle
  628.    wt: 1:   31 basic secant cosecant cotangent trig identities
  629.    wt: 1:   30 unit circle calculation of six trigonometric functions
  630.    wt: 1:   28 Expressing products of sines cosines as sums
  631.    wt: 1:   25 tangent double angle formula Slope connection
  632.    wt: 1:   24 tangent Angle Difference Formula
  633.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  634.    wt: 1:   18 sum of sinusoidal waves as a single wave
  635.    wt: 1:   17G Pythagorean Theorem Converse
  636.    wt: 1:   17F Law of cosines
  637.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  638.    wt: 1:   16 Right Triangle Complementary Angle Relations
  639.    wt: 1:   15 sine cosine Complementary Angle Relations
  640.    wt: 1:   13 Graph of tangent function many periods
  641.    wt: 1:   12 Graph of tangent function for one period
  642.    wt: 1:   11 tangent function undefined when terminal side vertical
  643.    wt: 1:   8 period of tangent function
  644.    wt: 1:   2 Quadrant I reference Angles
  645.    wt: 1:   1 Unit Points Reflections Rotations
  646.    wt: 1:   Unit Circle Development of Trigonometry
  647.    wt: 1:   8 Triangles Cascade Problem Solving
  648.    wt: 1:   7 Trignometric Ratios Unit Circle
  649.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  650.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  651.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  652.    wt: 1:   1 Angle Measurement with Degrees
  653.    wt: 1:   Why Trigonometry the whyslopes view
  654.    wt: 1:   12 Triangles Similarity More Problems
  655.    wt: 1:   11 Triangle Similarity Missing Side Problem
  656.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  657.    wt: 1:   9 Similarity of Triangles Usual Criteria
  658.    wt: 1:   7 Translations Rotations Reflections Dilatations
  659.    wt: 1:   6 Geometric Diagrams in Class
  660.    wt: 1:   4 Similarity Definition with Coordinate
  661.    wt: 1:   3 Similarity by Design with coordinates
  662.    wt: 1:   2 Similarity By Design
  663.    wt: 1:   1 Early Concept of Like or Similar Shapes
  664.    wt: 1:   A Measurement with Ruler Proper Use
  665.    wt: 1:   2 Measuring Area Directly
  666.    wt: 1:   1 Length Measurement
  667.    wt: 1:   About Folder Contents
  668.    wt: 1:   26 More Less Greater Than Comparison
  669.    wt: 1:   23 Distributive Law Two Derivations
  670.    wt: 1:   9 Division with Digits after Decimal Point
  671.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  672.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  673.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  674.    wt: 1:   4 Location of Point in Decimal Addition
  675.    wt: 1:   3 Location of Point in Decimal Multiplication
  676.    wt: 1:   2 Counting Digits in Decimal Multiplication
  677.    wt: 1:   1 Fractions with Finite Decimal Expansions
  678.    wt: 1:   E Long Division Methods more
  679.    wt: 1:   D Long Division Methods
  680.    wt: 1:   C Three Decimal Subtraction Methods
  681.    wt: 1:   A Decimal Addition Columm Methods
  682.    wt: 1:   8 Column Multiplication Methods in General
  683.    wt: 1:   7 Decimals Multiplication Methods Examples
  684.    wt: 1:   6 Column Methods for Decimal Multiplication
  685.    wt: 1:   4 Commutative Law Groups Counting Form
  686.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  687.    wt: 1:   5 Proportionality in Equivalent Fractions
  688.    wt: 1:   3 Proportionality Examples
  689.    wt: 1:   2 Algebraic View
  690.    wt: 1:   1 What is Proportionality
  691.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  692.    wt: 1:   6 Compound Interest Forward and Backwards
  693.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  694.    wt: 1:   5 Equality in Algebra
  695.    wt: 1:   3 Product Axioms Two Forms
  696.    wt: 1:   1 Equivalent Computation Rules
  697.    wt: 1:   5 Greater More Less Than Signs in General
  698.    wt: 1:   9 Coordinates for Regions in Space
  699.    wt: 1:   3 Fractions
  700.    wt: 1:   2 Integers
  701.    wt: 1:   5 Independent versus Dependent Variables
  702.    wt: 1:   4 Changing Letters
  703.    wt: 1:   2 Computation Rules Evaluation
  704.    wt: 1:   3 GE III Equation Addition and Multiplication
  705.    wt: 1:   Skill Development Notes
  706.    wt: 1:   10 One Example
  707.    wt: 1:   9 Three Examples
  708.    wt: 1:   8 One Example
  709.    wt: 1:   7 Two Examples
  710.    wt: 1:   6 Three Examples
  711.    wt: 1:   5 Three Examples
  712.    wt: 1:   4 Two Examples
  713.    wt: 1:   3 Two Examples
  714.    wt: 1:   2 Three Examples
  715.    wt: 1:   Formula Usage Show Work Format
  716.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  717.    wt: 1:   9 Sets in Probability and Statistics
  718.    wt: 1:   8 Sets of Numbers
  719.    wt: 1:   3 Adding Words To Arithmetic
  720.    wt: 1:   1 Three Skills For Algebra
  721.    wt: 1:   014 Counting Days with Calendars
  722.    wt: 1:   013 Travel Time Tables
  723.    wt: 1:   012 Division of Time Intervals by Time Intervals
  724.    wt: 1:   010 Repeated Addition of Time Intervals
  725.    wt: 1:   7 Addition of Time Intervals
  726.    wt: 1:   5 Conversion Arithmetic
  727.    wt: 1:   Example 2 volume of a cone
  728.    wt: 1:   Example 1 volume of a pyramid
  729.    wt: 1:   Volume of Solid by Cross Sections Lesson
  730.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  731.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  732.    wt: 1:   Example 4 with x function of y
  733.    wt: 1:   Example 3
  734.    wt: 1:   Example 2
  735.    wt: 1:   Example 1
  736.    wt: 1:   Area Between Curves Lesson Take 2
  737.    wt: 1:   Area Between Curves Lesson Take 1
  738.    wt: 1:   Summary
  739.    wt: 1:   17 Derivatives of quotients of sine and cosine
  740.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  741.    wt: 1:   15 sine and cosine derivatives 3rd step
  742.    wt: 1:   14 sine and cosine derivatives 2nd step
  743.    wt: 1:   13 sine and cosine derivatives 1st step
  744.    wt: 1:   11 Limits at infinity Three Examples
  745.    wt: 1:   10 Three one sided limits with infinite values
  746.    wt: 1:   8 Four Animated Examples
  747.    wt: 1:   7 Evaluation by immediate or delayed substitution
  748.    wt: 1:   6 Continuity at a point
  749.    wt: 1:   4 Numerical properties
  750.    wt: 1:   3 Decimal insights for limits continuity convergence
  751.    wt: 1:   2 Algebraic codification
  752.    wt: 1:   1 Numerical introduction
  753.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  754.    wt: 1:   D2 Limits of Monotone Sequences
  755.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  756.    wt: 1:   PostScript For and Against Decimal Perspectives
  757.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  758.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  759.    wt: 1:   Chapter 23 Links To Trigonometry
  760.    wt: 1:   Chapter 22 Complex Numbers
  761.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  762.    wt: 1:   Chapter 12. Units and Slopes
  763.    wt: 1:   Chapter 10 Slopes and Units
  764.    wt: 1:   Chapter 7 Slopes and Velocity
  765.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  766.    wt: 1:   Chapter 2. Slopes and Ski Trails
  767.    wt: 1:   Postscript More on Better Performance
  768.    wt: 1:   Postscript For Better Performance
  769.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  770.    wt: 1:   Chapter 30 Truth Tables
  771.    wt: 1:   Chapter 28 Occurrence Tables
  772.    wt: 1:   Chapter 25. Mathematical Induction Examples
  773.    wt: 1:   Chapter 23. Notation For Sums
  774.    wt: 1:   Chapter 21. Third Reading Guide
  775.    wt: 1:   Chapter 18. Rules for Algebra
  776.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  777.    wt: 1:   Chapter 16. Painless Theorem Proving
  778.    wt: 1:   Chapter 15. Solving Linear Equations
  779.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  780.    wt: 1:   Chapter 13. Second Reading Guide
  781.    wt: 1:   Postscript What is a Variable
  782.    wt: 1:   Solutions For Arithmetic Exercises
  783.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  784.    wt: 1:   Chapter 6 Change of Language
  785.    wt: 1:   Chapter 4 Longer Chains of Reason
  786.    wt: 1:   Chapter 3 Chains of Reason
  787.    wt: 1:   Foreword
  788.    wt: 1:   Annotated Links to Material Elsehwere
  789.    wt: 1:   Chapter 2 For and Against Mathematics
  790.    wt: 1:   Postscript C Consistency as a Tool for Reason
  791.    wt: 1:   Postscript A Story Telling
  792.    wt: 1:   Chapter 24 Direct and Indirect Reason
  793.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  794.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  795.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  796.    wt: 1:   Chapter 18 Sense and Knowledge
  797.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  798.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  799.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  800.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  801.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  802.    wt: 1:   N Mathematics Prepare for College Studies
  803.    wt: 1:   D. Check work a must with a caution
  804.    wt: 1:   C. Domino effect of being careful
  805.    wt: 1:   B. Domino effect of errors
  806.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  807.    wt: 1:   Chapter 6 More Algebra and Geometry
  808.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  809.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  810.    wt: 1:   Helping the Blind in Logic and Mathematics
  811.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  812.    wt: 1:   More Algebra and Slope based Calculus Preview
  813.    wt: 1:   Which Way To Go
  814.    wt: 1:   The Math Forum and Site Content

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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