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: 7:   A Decimal Counting and Adding Methods/
  5.    wt: 6:   11 Squares and Square Roots/
  6.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  7.    wt: 6:   8 Arithmetic with Signed Numbers/
  8.    wt: 6:   7 Arithmetic and Fractions with Units/
  9.    wt: 6:   6 Fractions and Ratios/
  10.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  11.    wt: 6:   B Decimal Comparing and Subtracting 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

466 matches:

  1.    wt: 6:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  2.    wt: 4:   11 Signed Number Addition and Addition Properties
  3.    wt: 4:   How to Build Skills and Confidence
  4.    wt: 3:   How to be a better instructor
  5.    wt: 3:   13 Addition and Addition Tables
  6.    wt: 3:   13 From one to one to many to one
  7.    wt: 3:   Vector and Complex Number Applet
  8.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  9.    wt: 3:   2 Combing Counts Addition Skills and Principles
  10.    wt: 3:   4 A Brief Story of numbers and algebra
  11.    wt: 3:   17 Efficient Ways to Add and Subtract
  12.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  13.    wt: 3:   14 Adding and Subtracting with Like Denominators
  14.    wt: 3:   8 What skills and work habits to require
  15.    wt: 3:   6. Counting and adding units and mixed units
  16.    wt: 3:   5. How to add decimals C. Examples
  17.    wt: 3:   4. How to add with decimals B with conversions
  18.    wt: 3:   3. How to add with decimals A sans conversions
  19.    wt: 3:   Quick history of numbers and algebra
  20.    wt: 3:   Formula Evaluation how to show work
  21.    wt: 3:   Expression Evaluation how to show work
  22.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  23.    wt: 3:   Appendix E. How To Study Mathematics and Why
  24.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  25.    wt: 3:   E. When and how to correct errors
  26.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  27.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  28.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  29.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  30.    wt: 2:   Ramblings Extrinsic numbers theory
  31.    wt: 2:   04 25 when to stop or suspend mathemat
  32.    wt: 2:   Home Tutoring and Home Schooling
  33.    wt: 2:   2 Reading and Writing Skills
  34.    wt: 2:   Ages 12 to 14 Skills with take home value
  35.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  36.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  37.    wt: 2:   26 Function definitions done and coming
  38.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  39.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  40.    wt: 2:   8 Notes for instructors or tutors
  41.    wt: 2:   16 cotangent function Definition Graph and Inverse
  42.    wt: 2:   15 cosecant function Definition Graph and Inverse
  43.    wt: 2:   14 secant function Definition Graph and Inverse
  44.    wt: 2:   13 cosecant function Definition Graph and Inverse
  45.    wt: 2:   9 Summary Degrees to Radians and back
  46.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  47.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  48.    wt: 2:   5 Head To Tail Arrow Addition
  49.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  50.    wt: 2:   14 cosine even and sine and tangent are odd
  51.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  52.    wt: 2:   7 Exercises to test skill and concept mastery
  53.    wt: 2:   5 Cartesian Addition and Translation
  54.    wt: 2:   4 Polar Coordinates to and from
  55.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  56.    wt: 2:   3 Lengths and Areas on Maps and Plans
  57.    wt: 2:   21 Addition of Multiples of a Single Vector
  58.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  59.    wt: 2:   15 Head to Tails in place Addition Associative
  60.    wt: 2:   13 Arrows and Vectors in a Plane
  61.    wt: 2:   2 Addition and Multiplication Axioms
  62.    wt: 2:   2 More and Less Than for Counts and Measures
  63.    wt: 2:   12 Real Number Additive Inverses or Negatives
  64.    wt: 2:   11 Real Number Addition
  65.    wt: 2:   10 Real Number Lengths and Signs
  66.    wt: 2:   1 Whole and Natural Numbers
  67.    wt: 2:   3 GE III Equation Addition and Multiplication
  68.    wt: 2:   1 Written work formats for developing and showing skill
  69.    wt: 2:   5 Talking about Numbers and Quantities
  70.    wt: 2:   3 Adding Words To Arithmetic
  71.    wt: 2:   1 More and Less Than for Counts and Measures
  72.    wt: 2:   7 GCD and LCM from prime factorization
  73.    wt: 2:   11 What are real lengths and numbers
  74.    wt: 2:   7 negative and additive inverse
  75.    wt: 2:   6 adding signed numbers
  76.    wt: 2:   5 lengths and signs of numbers
  77.    wt: 2:   2 signed and unsigned numbers as coordinates
  78.    wt: 2:   3 Multiplying Units and Numbers
  79.    wt: 2:   1 Addition and Subtraction with Units
  80.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  81.    wt: 2:   19 Dividing Fractions How TO
  82.    wt: 2:   9 Improper Fractions and Mixed Numbers
  83.    wt: 2:   11 Adding Integers Formulas and Examples
  84.    wt: 2:   5 Zero Movement and Additive Inverses
  85.    wt: 2:   18 video Count Factors given Prime Factorization
  86.    wt: 2:   17 Identify and Count Factors using Primes
  87.    wt: 2:   15 video Factors of 20 using Prime Factorization
  88.    wt: 2:   10 video Prime Factorization upto 23 squared
  89.    wt: 2:   9 video Prime Factorization upto 19 squared
  90.    wt: 2:   8 video Prime Factorization upto 19
  91.    wt: 2:   7 Calculator Usage Notes and Cautions
  92.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  93.    wt: 2:   5 Prime Factorization and a Square Rule
  94.    wt: 2:   1 video how Products are bigger than factor
  95.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  96.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  97.    wt: 2:   8 Addition of Time Intervals via subtotaling
  98.    wt: 2:   1 Intro of Kids To Time Date Skills
  99.    wt: 2:   38 Formulas and derivatives for powers and roots
  100.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  101.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  102.    wt: 2:   Appendix D. What to do in School and Why
  103.    wt: 2:   Appendix C. How to Read
  104.    wt: 2:   Appendix B. How To Learn
  105.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  106.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  107.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  108.    wt: 2:   Postscript B More on Story Telling and Reason
  109.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  110.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  111.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  112.    wt: 2:   S Adding words to algebra
  113.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  114.    wt: 2:   J. More on written work and showing skill
  115.    wt: 2:   I. Logic and language skills
  116.    wt: 2:   G. Written work formats for developing and showing skill
  117.    wt: 2:   A. Skill has to be seen to believed
  118.    wt: 2:   Chapter 8 Skipped Topics and Why
  119.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  120.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  121.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  122.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  123.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  124.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  125.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  126.    wt: 1:   Appendix 1 primary and preschool mathematic
  127.    wt: 1:   G LAMP Introduction Problem Solving Skills
  128.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  129.    wt: 1:   Skills Chapter 5 Calculus
  130.    wt: 1:   Skills Chapter 4 Logic
  131.    wt: 1:   Skills Chapter 3 Algebra
  132.    wt: 1:   Skills Chapter 2 Geometry
  133.    wt: 1:   Skills Chapter 1 Arithmetic
  134.    wt: 1:   Skills Chapter 0 Introduction
  135.    wt: 1:   9 combinatorics probability sets
  136.    wt: 1:   7 logic review and decimals an odd combination
  137.    wt: 1:   5 logarithms and exponentials etc
  138.    wt: 1:   2 arithmetic with signed numbers
  139.    wt: 1:   1 arithmetic with unsigned numbers
  140.    wt: 1:   which way to go
  141.    wt: 1:   three goals to set for students
  142.    wt: 1:   key notes and themes
  143.    wt: 1:   grouping students according to ability
  144.    wt: 1:   what should be learnt and When
  145.    wt: 1:   how letters appear
  146.    wt: 1:   What to Tell Students
  147.    wt: 1:   teaching tutoring algebraic reason
  148.    wt: 1:   standards for course material
  149.    wt: 1:   Operational Viewpoint to Value
  150.    wt: 1:   Theory of Knowledge
  151.    wt: 1:   Education in mathematics science and technology
  152.    wt: 1:   Four ways to improve education reform
  153.    wt: 1:   Motivation and Context Problem
  154.    wt: 1:   fairness and inductive principles for instruction
  155.    wt: 1:   words for mathematics instructor
  156.    wt: 1:   deux definitions pour variable
  157.    wt: 1:   3 Like resistors in parallel
  158.    wt: 1:   2 Unlike resistors in parallel01
  159.    wt: 1:   1 Like resistors in series
  160.    wt: 1:   F Unlike Resistors in Series
  161.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  162.    wt: 1:   24 Standards For Skill Develoment Take II
  163.    wt: 1:   24 Standards For Skill Develoment
  164.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  165.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  166.    wt: 1:   17 Math Booklets for children and young teenagers
  167.    wt: 1:   14 Multiplication and Times Tables
  168.    wt: 1:   12 Goals and Objectives For Mathematics
  169.    wt: 1:   11 Help and Defend Your Child or Teens Education
  170.    wt: 1:   5 Patience Please for Yourself and Your Charges
  171.    wt: 1:   4 Learning Takes Time and Effort
  172.    wt: 1:   1 Speaking Skills
  173.    wt: 1:   Ages 12 to 14 Geometry
  174.    wt: 1:   Ages 12 to 14 Arithmetic
  175.    wt: 1:   Ages 10 to 12 Geometry
  176.    wt: 1:   Ages 10 to 12 Arithmetic
  177.    wt: 1:   Ages 9 to 10
  178.    wt: 1:   Ages 8 to 9
  179.    wt: 1:   Ages 7 to 8
  180.    wt: 1:   Ages 6 to 7
  181.    wt: 1:   Ages 4 plus to 5 plus
  182.    wt: 1:   Ages 3 plus to 4 plus
  183.    wt: 1:   19 Horizontal line rule and method
  184.    wt: 1:   18 Vertical Line Rule and Method
  185.    wt: 1:   17 Function maxima minima and their location
  186.    wt: 1:   11 Function Domain Range Source and Targets
  187.    wt: 1:   9 Set theory term relation possible origins
  188.    wt: 1:   8 Set view of relations and functions
  189.    wt: 1:   6 Set Existence Formation and Notation
  190.    wt: 1:   4 Function notation in and beyond mathematics
  191.    wt: 1:   9 quadratics physical and further context
  192.    wt: 1:   3 quadratics factoring by inspection
  193.    wt: 1:   11 Growth and Decay in Biology
  194.    wt: 1:   10 Exponential Growth and Decay Models
  195.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  196.    wt: 1:   5 Natural Logarithm Calculator Exercises
  197.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  198.    wt: 1:   1 Calculator Starter Exercises
  199.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  200.    wt: 1:   3 Polynomials Multiplication Addition
  201.    wt: 1:   10 arctan left inverse of tangent Definition
  202.    wt: 1:   7 arcsin left inverse of sine Definition
  203.    wt: 1:   3 Left Inverse of cosine arccos definition
  204.    wt: 1:   6 Radian Measure to Degrees
  205.    wt: 1:   5 Degrees to Radian Measure
  206.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  207.    wt: 1:   1 Degrees and Radians Introduction
  208.    wt: 1:   A Global Time and Navigation
  209.    wt: 1:   15 Dot and Cross Product
  210.    wt: 1:   13 Velocity Vectors in Physics
  211.    wt: 1:   12 From Applied To Pure Mathematics
  212.    wt: 1:   10 Parallelogram Addition Method
  213.    wt: 1:   9 Head to Tail Coordinate View
  214.    wt: 1:   8 Parallel Vectors
  215.    wt: 1:   6 Vectors with Coordinates
  216.    wt: 1:   3 Navigation with Arrows or Vectors
  217.    wt: 1:   Parallel Lines and Parallel Transversals
  218.    wt: 1:   Triangle Angles Sum To 180 Degrees
  219.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  220.    wt: 1:   Parallel Lines and Interior Angles
  221.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  222.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  223.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  224.    wt: 1:   29 secant cosecant and cotangent for acute angles
  225.    wt: 1:   27 Logarithmic use of products of sines and cosines
  226.    wt: 1:   26 Formulas for products of sines and cosines
  227.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  228.    wt: 1:   21 sine and cosine Half Angle Formulas
  229.    wt: 1:   20 sine and cosine Double Angle Formulas
  230.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  231.    wt: 1:   17E Trig Formulas for dot and cross Products
  232.    wt: 1:   17D cis formulas for sine cosines and tangent
  233.    wt: 1:   17C sine and cosine double triple angle formulas
  234.    wt: 1:   17A The complex number valued trig function cis
  235.    wt: 1:   10 Graphs of sines and cosines many periods
  236.    wt: 1:   9 Graphs of sine and cosine over one period
  237.    wt: 1:   7 period of sine and cosine
  238.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  239.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  240.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  241.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  242.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  243.    wt: 1:   21 Logarithms Powers and Exponentials
  244.    wt: 1:   20 N th Roots of Complex Numbers
  245.    wt: 1:   16 References and Originality Question
  246.    wt: 1:   13 Trig Formulas for dot and cross Products
  247.    wt: 1:   12 cis formulas for sine cosines and tangent
  248.    wt: 1:   11 sine and cosine double triple angle formulas
  249.    wt: 1:   9 The complex number valued trig function cis
  250.    wt: 1:   7 Second Way to Calculate Products
  251.    wt: 1:   6 Field Properties of Complex Number
  252.    wt: 1:   3 Addition Properties
  253.    wt: 1:   2 Complex Numbers made easier we hope
  254.    wt: 1:   Appetizer A Complex Number Applet
  255.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  256.    wt: 1:   3 Trigonometric Ratios sine and cosine
  257.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  258.    wt: 1:   8 Similarity of Triangles and Polygons
  259.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  260.    wt: 1:   4 Similarity Definition with Coordinate
  261.    wt: 1:   10 Midpoint of [a b] and [b a]
  262.    wt: 1:   1 Numerical view of lines and their equations
  263.    wt: 1:   What is and is not here
  264.    wt: 1:   7 Complex Numbers Appetizer
  265.    wt: 1:   6 Polar Multiplication and Rotation
  266.    wt: 1:   PS H Distributive Law For Complex Numbers
  267.    wt: 1:   PS G Rotation Distributes over Addition
  268.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  269.    wt: 1:   PS D Addition with Cartesian Coordinates
  270.    wt: 1:   17 Right Bisectors of Triangle Sides
  271.    wt: 1:   16 Angles Subtended By Chords and Diameters
  272.    wt: 1:   10 Dropping a perpendicular to line
  273.    wt: 1:   9 Construction of a right bisector
  274.    wt: 1:   6 Ruler and compass Angle Bisection
  275.    wt: 1:   1 Initial Concepts and Terms
  276.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  277.    wt: 1:   6 Figuring with Maps Not to Scale
  278.    wt: 1:   4 Angles on Maps Plans drawn to scale
  279.    wt: 1:   musings do not puiblish real numbers
  280.    wt: 1:   A Modular and Remainder Arithmetic
  281.    wt: 1:   A Signed Number Arithmetic Review
  282.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  283.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  284.    wt: 1:   22 Multiplication of Signed Numbers
  285.    wt: 1:   19 Signed Multiples of Vectors
  286.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  287.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  288.    wt: 1:   12 Real Numbers Line Signed Coordinates
  289.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  290.    wt: 1:   8 Division and Mulplication of Compound Fractions
  291.    wt: 1:   4 Location of Point in Decimal Addition
  292.    wt: 1:   B Decimal Comparison and Subtraction
  293.    wt: 1:   A Decimal Addition Columm Methods
  294.    wt: 1:   5 Distributive Law for Whole Numbers
  295.    wt: 1:   3 Multiplicative Counting Skills Principles
  296.    wt: 1:   1 The Counting Origins of Numbers
  297.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  298.    wt: 1:   4 Rates Ratios and Proporitionality
  299.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  300.    wt: 1:   6 Compound Interest Forward and Backwards
  301.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  302.    wt: 1:   6 Equations and Systems Equivalent or Implied
  303.    wt: 1:   4 Subtraction and Division Axioms
  304.    wt: 1:   4 Comparison of Negative Numbers
  305.    wt: 1:   3 More and Less Than with Unlike Signs
  306.    wt: 1:   1 Real Numbers Comparison
  307.    wt: 1:   16 Real Numbers Comparison
  308.    wt: 1:   15 Real Number Division
  309.    wt: 1:   14 Real Number Multiplication
  310.    wt: 1:   13 Real Number Subtraction
  311.    wt: 1:   8 Coordinates for Maps and Planes
  312.    wt: 1:   7 Real Numbers as Line Cordinates
  313.    wt: 1:   6 Unsigned Real Numbers
  314.    wt: 1:   5 Rational Numbers More
  315.    wt: 1:   4 Rational Numbers
  316.    wt: 1:   3 Geometric Formulas and Function Notation
  317.    wt: 1:   1 Formulas Dependence and Function Notation
  318.    wt: 1:   Formula Usage Show Work Format
  319.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  320.    wt: 1:   9 Sets in Probability and Statistics
  321.    wt: 1:   8 Sets of Numbers
  322.    wt: 1:   1 Three Skills For Algebra
  323.    wt: 1:   3 Comparison of Negative Numbers
  324.    wt: 1:   2 More and Less Than with Unlike Signs
  325.    wt: 1:   1 Squares and Square Roots Introduction
  326.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  327.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  328.    wt: 1:   13 GCD from given Prime Factorization
  329.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  330.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  331.    wt: 1:   4 LCM of 8 and 10 via Prime
  332.    wt: 1:   3 Counting with Tables and Trees II
  333.    wt: 1:   2 Counting with Tables and Trees I
  334.    wt: 1:   1 Counting and Counting Methods I
  335.    wt: 1:   10 dividing signed numbers
  336.    wt: 1:   9 subtracting signed numbers
  337.    wt: 1:   8 multiplying signed numbers
  338.    wt: 1:   3 signed coordinates for maps and planes
  339.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  340.    wt: 1:   2 Equality and Units
  341.    wt: 1:   B Fractions and Two Term Ratios
  342.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  343.    wt: 1:   21 Reciprocals for Fractions and Wholes
  344.    wt: 1:   18 Efficient Ways to Multiply
  345.    wt: 1:   16 Addition Subtraction Comparision Compared
  346.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  347.    wt: 1:   6 Multiplication of Mixed Numbers
  348.    wt: 1:   13 Subtraction with Additive Inverse
  349.    wt: 1:   12 Adding Integers More Examples
  350.    wt: 1:   8 Multiplication by Signed Numbers Integers
  351.    wt: 1:   6 Multiplication by Natural Numbers
  352.    wt: 1:   4 Adding Movements wiht opposite directions
  353.    wt: 1:   3 Adding Movements with same direction
  354.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  355.    wt: 1:   20 Uniqueness of Prime Factorization
  356.    wt: 1:   19 video Prime Factorization Unique
  357.    wt: 1:   16 video Factors of 980 using prime
  358.    wt: 1:   14 video Factors of 24 Take II
  359.    wt: 1:   13 video Factors of 24 using prime
  360.    wt: 1:   12 LCD GCD and LCM using Primes
  361.    wt: 1:   4 video Prime Factorization Introduction
  362.    wt: 1:   3 video Primes and Composites from 9 times table
  363.    wt: 1:   2 Prime and Composites less than 16
  364.    wt: 1:   Division with Counts and Length
  365.    wt: 1:   Long Division forwards and backwards Example 3
  366.    wt: 1:   Long Division forwards and backwards Example 2
  367.    wt: 1:   Long Division forwards and backwards Example 1
  368.    wt: 1:   10 Division by Five Long and Short Ways
  369.    wt: 1:   4 Two and Three Digit Multipliers
  370.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  371.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  372.    wt: 1:   7 Adding decimal fractions using decimal point
  373.    wt: 1:   1. Explaining Addition Table
  374.    wt: 1:   11 Place Value SI Standard International way
  375.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  376.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  377.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  378.    wt: 1:   Exact Arithmetic Wholes and Fractions
  379.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  380.    wt: 1:   016 Numbering Occidental Calendar Days
  381.    wt: 1:   015 School and work day counting tables
  382.    wt: 1:   011 Division of Time Intervals By Numbers
  383.    wt: 1:   010 Repeated Addition of Time Intervals
  384.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  385.    wt: 1:   7 Addition of Time Intervals
  386.    wt: 1:   6 How long is a million seconds
  387.    wt: 1:   4 Mixing and Changing Units of Time
  388.    wt: 1:   3 Units and Lengths of Time
  389.    wt: 1:   2 Time and Date Matters in School
  390.    wt: 1:   Example 1. Area Between x and x squared
  391.    wt: 1:   17 Derivatives of quotients of sine and cosine
  392.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  393.    wt: 1:   15 sine and cosine derivatives 3rd step
  394.    wt: 1:   14 sine and cosine derivatives 2nd step
  395.    wt: 1:   13 sine and cosine derivatives 1st step
  396.    wt: 1:   3 Motivation for Limit Definition Take 2
  397.    wt: 1:   2 Motivation for Limit Definition Take 1
  398.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  399.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  400.    wt: 1:   9 Limits Continuity and Composition
  401.    wt: 1:   5 Jumps and absence of unlimited error control
  402.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  403.    wt: 1:   D2 Limits of Monotone Sequences
  404.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  405.    wt: 1:   PostScript For and Against Decimal Perspectives
  406.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  407.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  408.    wt: 1:   Chapter 23 Links To Trigonometry
  409.    wt: 1:   Chapter 22 Complex Numbers
  410.    wt: 1:   Chapter 21 Arrow Addition
  411.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  412.    wt: 1:   Chapter 12. Units and Slopes
  413.    wt: 1:   Chapter 10 Slopes and Units
  414.    wt: 1:   Chapter 7 Slopes and Velocity
  415.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  416.    wt: 1:   Chapter 2. Slopes and Ski Trails
  417.    wt: 1:   Chapter 31 Direct and Indirect Reason
  418.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  419.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  420.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  421.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  422.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  423.    wt: 1:   Chapter 20. Degrees and Radians
  424.    wt: 1:   Chapter 19. Functions and Sets
  425.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  426.    wt: 1:   Chapter 12. Shorthand Usage Guide
  427.    wt: 1:   Chapter 11. Why Shorthand
  428.    wt: 1:   Chapter 10 Describing and Changing Calculations
  429.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  430.    wt: 1:   Chapter 8 Three Skills For Algebra
  431.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  432.    wt: 1:   Annotated Links to Material Elsehwere
  433.    wt: 1:   Chapter 2 For and Against Mathematics
  434.    wt: 1:   Postscript C Consistency as a Tool for Reason
  435.    wt: 1:   Postscript A Story Telling
  436.    wt: 1:   Chapter 24 Direct and Indirect Reason
  437.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  438.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  439.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  440.    wt: 1:   Chapter 18 Sense and Knowledge
  441.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  442.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  443.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  444.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  445.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  446.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  447.    wt: 1:   R Why Learn Mathematics Skills
  448.    wt: 1:   O On Learning Mathematics and Science
  449.    wt: 1:   M Words to extend arithmetic
  450.    wt: 1:   L Skills with take home value
  451.    wt: 1:   N Improving Marks on Tests and Finals
  452.    wt: 1:   H more Routine to non routine problem solving
  453.    wt: 1:   H Jigsaw puzzles and problem solving
  454.    wt: 1:   F. The student teacher tutor feedback loop
  455.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  456.    wt: 1:   Chapter 6 More Algebra and Geometry
  457.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  458.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  459.    wt: 1:   7 Games and Activities for Instruction
  460.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  461.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  462.    wt: 1:   Helping the Blind in Logic and Mathematics
  463.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  464.    wt: 1:   More Algebra and Slope based Calculus Preview
  465.    wt: 1:   Which Way To Go
  466.    wt: 1:   The Math Forum and Site Content

Extended Search

819 matches:

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

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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