Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local 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. Reform: look before you leap - plan all in detail first.

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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21 matches:

  1.    wt: 8:   7 Complex Numbers/
  2.    wt: 7:   1 Maps Plans Measurement/
  3.    wt: 6:   13 Vectors/
  4.    wt: 6:   8 Unit Circle Trigonometry/
  5.    wt: 6:   6 Trigonometry first steps/
  6.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  7.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  8.    wt: 5:   12 Function Translating and Rescaling/
  9.    wt: 5:   11 Parallel Straight Lines and Transversals/
  10.    wt: 5:   10 Intersecting Straight Lines and Transversals/
  11.    wt: 5:   9 Lines and Slopes Take 2 with tangent function/
  12.    wt: 5:   5 What is Similarity/
  13.    wt: 5:   4 Lines and Slopes Take 1/
  14.    wt: 5:   3 Cartesian and Polar Coordinates/
  15.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 1:   B Real Numbers Extrinsic Development/
  18.    wt: 1:   5 Real Numbers/
  19.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  20.    wt: 1:   8 Arithmetic with Signed Numbers/
  21.    wt: 1:   7 Arithmetic and Fractions with Units/

Web Page Search

78 matches:

  1.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  2.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  3.    wt: 2:   Maps Plans Drawings
  4.    wt: 2:   20 N th Roots of Complex Numbers
  5.    wt: 2:   2 Complex Numbers made easier we hope
  6.    wt: 2:   7 Complex Numbers Appetizer
  7.    wt: 2:   PS H Distributive Law For Complex Numbers
  8.    wt: 2:   4 Angles on Maps Plans drawn to scale
  9.    wt: 2:   3 Lengths and Areas on Maps and Plans
  10.    wt: 2:   Chapter 22 Complex Numbers
  11.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  12.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  13.    wt: 1:   Ramblings Extrinsic numbers theory
  14.    wt: 1:   2 arithmetic with signed numbers
  15.    wt: 1:   1 arithmetic with unsigned numbers
  16.    wt: 1:   About site lesson plans
  17.    wt: 1:   13 Velocity Vectors in Physics
  18.    wt: 1:   8 Parallel Vectors
  19.    wt: 1:   6 Vectors with Coordinates
  20.    wt: 1:   3 Navigation with Arrows or Vectors
  21.    wt: 1:   Vector and Complex Number Applet
  22.    wt: 1:   17A The complex number valued trig function cis
  23.    wt: 1:   Unit Circle Development of Trigonometry
  24.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  25.    wt: 1:   9 The complex number valued trig function cis
  26.    wt: 1:   8 Unit Circle Development of Trigonometry
  27.    wt: 1:   6 Field Properties of Complex Number
  28.    wt: 1:   Appetizer A Complex Number Applet
  29.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  30.    wt: 1:   Why Trigonometry the whyslopes view
  31.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  32.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  33.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  34.    wt: 1:   6 Figuring with Maps Not to Scale
  35.    wt: 1:   musings do not puiblish real numbers
  36.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  37.    wt: 1:   22 Multiplication of Signed Numbers
  38.    wt: 1:   19 Signed Multiples of Vectors
  39.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  40.    wt: 1:   13 Arrows and Vectors in a Plane
  41.    wt: 1:   12 Real Numbers Line Signed Coordinates
  42.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  43.    wt: 1:   5 Distributive Law for Whole Numbers
  44.    wt: 1:   1 The Counting Origins of Numbers
  45.    wt: 1:   4 Comparison of Negative Numbers
  46.    wt: 1:   1 Real Numbers Comparison
  47.    wt: 1:   16 Real Numbers Comparison
  48.    wt: 1:   8 Coordinates for Maps and Planes
  49.    wt: 1:   7 Real Numbers as Line Cordinates
  50.    wt: 1:   6 Unsigned Real Numbers
  51.    wt: 1:   5 Rational Numbers More
  52.    wt: 1:   4 Rational Numbers
  53.    wt: 1:   1 Whole and Natural Numbers
  54.    wt: 1:   8 Sets of Numbers
  55.    wt: 1:   5 Talking about Numbers and Quantities
  56.    wt: 1:   4 A Brief Story of numbers and algebra
  57.    wt: 1:   3 Comparison of Negative Numbers
  58.    wt: 1:   11 What are real lengths and numbers
  59.    wt: 1:   10 dividing signed numbers
  60.    wt: 1:   9 subtracting signed numbers
  61.    wt: 1:   8 multiplying signed numbers
  62.    wt: 1:   6 adding signed numbers
  63.    wt: 1:   5 lengths and signs of numbers
  64.    wt: 1:   3 signed coordinates for maps and planes
  65.    wt: 1:   2 signed and unsigned numbers as coordinates
  66.    wt: 1:   3 Multiplying Units and Numbers
  67.    wt: 1:   22 Complex Compound Fractions
  68.    wt: 1:   9 Improper Fractions and Mixed Numbers
  69.    wt: 1:   6 Multiplication of Mixed Numbers
  70.    wt: 1:   8 Multiplication by Signed Numbers Integers
  71.    wt: 1:   6 Multiplication by Natural Numbers
  72.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  73.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  74.    wt: 1:   Quick history of numbers and algebra
  75.    wt: 1:   011 Division of Time Intervals By Numbers
  76.    wt: 1:   Chapter 23 Links To Trigonometry
  77.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  78.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions

Extended Search

911 matches:

  1.    wt: 9:   19 N th Roots of Unity
  2.    wt: 9:   18 Sixth Roots of Unity
  3.    wt: 9:   17 Cube Roots of unity
  4.    wt: 9:   16 References and Originality Question
  5.    wt: 9:   9 The complex number valued trig function cis
  6.    wt: 9:   7 Second Way to Calculate Products
  7.    wt: 9:   4 Multiplication Properties
  8.    wt: 9:   3 Addition Properties
  9.    wt: 9:   1 Rectangular Polar Coordinates Review
  10.    wt: 9:   7 Complex Numbers Appetizer
  11.    wt: 9:   8 More Use of Maps Not Drawn to Scale
  12.    wt: 9:   6 Figuring with Maps Not to Scale
  13.    wt: 8:   13 Velocity Vectors in Physics
  14.    wt: 8:   7 Coordinate Addition and Scalar Multiplication
  15.    wt: 8:   6 Vectors with Coordinates
  16.    wt: 8:   3 Navigation with Arrows or Vectors
  17.    wt: 8:   Vector and Complex Number Applet
  18.    wt: 8:   Unit Circle Development of Trigonometry
  19.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  20.    wt: 8:   21 Logarithms Powers and Exponentials
  21.    wt: 8:   15 Pythagorean Theorem Converse
  22.    wt: 8:   14 Law of cosines
  23.    wt: 8:   13 Trig Formulas for dot and cross Products
  24.    wt: 8:   12 cis formulas for sine cosines and tangent
  25.    wt: 8:   11 sine and cosine double triple angle formulas
  26.    wt: 8:   10 sine cosine Angle Sum Formulas via cis
  27.    wt: 8:   5 An Easy Proof of the Distributive Law
  28.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  29.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  30.    wt: 8:   PS H Distributive Law For Complex Numbers
  31.    wt: 8:   A Measurement with Ruler Proper Use
  32.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  33.    wt: 8:   2 Measuring Area Directly
  34.    wt: 8:   1 Length Measurement
  35.    wt: 7:   A Global Time and Navigation
  36.    wt: 7:   15 Dot and Cross Product
  37.    wt: 7:   12 From Applied To Pure Mathematics
  38.    wt: 7:   11 Component Method
  39.    wt: 7:   10 Parallelogram Addition Method
  40.    wt: 7:   9 Head to Tail Coordinate View
  41.    wt: 7:   8 Parallel Vectors
  42.    wt: 7:   5 Head To Tail Arrow Addition
  43.    wt: 7:   4 Resultant of a Sum of Movements
  44.    wt: 7:   2 Signed Coordinates
  45.    wt: 7:   1 Unsigned Coordinates
  46.    wt: 7:   17 tangent function angle sum formulas
  47.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  48.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  49.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  50.    wt: 7:   32 seven rows of pascals triangle
  51.    wt: 7:   31 basic secant cosecant cotangent trig identities
  52.    wt: 7:   30 unit circle calculation of six trigonometric functions
  53.    wt: 7:   29 secant cosecant and cotangent for acute angles
  54.    wt: 7:   28 Expressing products of sines cosines as sums
  55.    wt: 7:   27 Logarithmic use of products of sines and cosines
  56.    wt: 7:   26 Formulas for products of sines and cosines
  57.    wt: 7:   25 tangent double angle formula Slope connection
  58.    wt: 7:   24 tangent Angle Difference Formula
  59.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  60.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  61.    wt: 7:   21 sine and cosine Half Angle Formulas
  62.    wt: 7:   20 sine and cosine Double Angle Formulas
  63.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  64.    wt: 7:   18 sum of sinusoidal waves as a single wave
  65.    wt: 7:   17A The complex number valued trig function cis
  66.    wt: 7:   16 Right Triangle Complementary Angle Relations
  67.    wt: 7:   15 sine cosine Complementary Angle Relations
  68.    wt: 7:   14 cosine even and sine and tangent are odd
  69.    wt: 7:   13 Graph of tangent function many periods
  70.    wt: 7:   12 Graph of tangent function for one period
  71.    wt: 7:   11 tangent function undefined when terminal side vertical
  72.    wt: 7:   10 Graphs of sines and cosines many periods
  73.    wt: 7:   9 Graphs of sine and cosine over one period
  74.    wt: 7:   8 period of tangent function
  75.    wt: 7:   7 period of sine and cosine
  76.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  77.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  78.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  79.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  80.    wt: 7:   2 Quadrant I reference Angles
  81.    wt: 7:   1 Unit Points Reflections Rotations
  82.    wt: 7:   8 Triangles Cascade Problem Solving
  83.    wt: 7:   7 Trignometric Ratios Unit Circle
  84.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  85.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  86.    wt: 7:   3 Trigonometric Ratios sine and cosine
  87.    wt: 7:   2 Similar Triangles Equality of Corresponding Side Ratios
  88.    wt: 7:   1 Angle Measurement with Degrees
  89.    wt: 7:   Why Trigonometry the whyslopes view
  90.    wt: 7:   7 Exercises to test skill and concept mastery
  91.    wt: 7:   PS C Similarity Use Recognize it in Trigonometry
  92.    wt: 7:   7 Angle Side Angle
  93.    wt: 6:   16 cotangent function Definition Graph and Inverse
  94.    wt: 6:   15 cosecant function Definition Graph and Inverse
  95.    wt: 6:   14 secant function Definition Graph and Inverse
  96.    wt: 6:   13 cosecant function Definition Graph and Inverse
  97.    wt: 6:   12 motivation for term arctan
  98.    wt: 6:   11 arctan left inverse of tangent Graph
  99.    wt: 6:   10 arctan left inverse of tangent Definition
  100.    wt: 6:   9 motivation for name arcsin
  101.    wt: 6:   8 arcsin left inverse of sine Graph
  102.    wt: 6:   7 arcsin left inverse of sine Definition
  103.    wt: 6:   6 Graph of arccos function
  104.    wt: 6:   5 Swapping Coordinates is a reflection
  105.    wt: 6:   4 possible motivation for term arccos
  106.    wt: 6:   3 Left Inverse of cosine arccos definition
  107.    wt: 6:   2 cosine function more properties
  108.    wt: 6:   1 cosine function properties
  109.    wt: 6:   9 Summary Degrees to Radians and back
  110.    wt: 6:   8 Radian Measures of Common Angles
  111.    wt: 6:   7 Radian Measures in special Triangles
  112.    wt: 6:   6 Radian Measure to Degrees
  113.    wt: 6:   5 Degrees to Radian Measure
  114.    wt: 6:   4 Circle Sector Area proportional to Central Angle
  115.    wt: 6:   3 Circle Arclengh Proportional to Central Angle
  116.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  117.    wt: 6:   4 graphing y=Asin(x c)
  118.    wt: 6:   3 graphing y=f(x c) plus K
  119.    wt: 6:   2 Graphing y=Af(x) Vertical Scaling
  120.    wt: 6:   1 graphing y=f(x a)
  121.    wt: 6:   Parallel Lines and Parallel Transversals
  122.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  123.    wt: 6:   Triangle Angles Sum To 180 Degrees
  124.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  125.    wt: 6:   Parallel Lines and Interior Angles
  126.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  127.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  128.    wt: 6:   Analytic View of Triangle Construction or Line Instersection More
  129.    wt: 6:   Straight Lines ASA Intersection Study More
  130.    wt: 6:   Straight Lines ASA Intersection Study
  131.    wt: 6:   Straight Lines Instersection Solving Equations
  132.    wt: 6:   Straight Lines Intersection of
  133.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  134.    wt: 6:   C Straight Lines Slope from Coordinates
  135.    wt: 6:   B Straight Line Slope Scaling Properties More
  136.    wt: 6:   A Straight Line Slope Scaling Properties
  137.    wt: 6:   14 Straight Lines Equations General Case
  138.    wt: 6:   13 Straight Lines Finding Equations from 2 points
  139.    wt: 6:   12 Straight Lines Graphing mx plus b
  140.    wt: 6:   11 Straight Lines Graphing y=mx
  141.    wt: 6:   10 Straight Lines through Origin Equations More
  142.    wt: 6:   9 Straight Lines through Origin Equations
  143.    wt: 6:   8 Straight Lines Equation for vertical
  144.    wt: 6:   7 Tangent Function is odd on this domain
  145.    wt: 6:   6 Tangent Function Inclination Angle Take 2
  146.    wt: 6:   5 Tangent Function Graph
  147.    wt: 6:   4 Tangent Function Properties
  148.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  149.    wt: 6:   2 Straight Lines Slopes As Rise Over Run
  150.    wt: 6:   1 Straight Lines Slope Concept
  151.    wt: 6:   17G Pythagorean Theorem Converse
  152.    wt: 6:   17F Law of cosines
  153.    wt: 6:   17E Trig Formulas for dot and cross Products
  154.    wt: 6:   17D cis formulas for sine cosines and tangent
  155.    wt: 6:   17C sine and cosine double triple angle formulas
  156.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  157.    wt: 6:   13 Navigation Location from Angles to 2 Landmarks
  158.    wt: 6:   12 Triangles Similarity More Problems
  159.    wt: 6:   11 Triangle Similarity Missing Side Problem
  160.    wt: 6:   10 Similarity of Triangles Equivalent of Two Criteria
  161.    wt: 6:   9 Similarity of Triangles Usual Criteria
  162.    wt: 6:   8 Similarity of Triangles and Polygons
  163.    wt: 6:   7 Translations Rotations Reflections Dilatations
  164.    wt: 6:   6 Geometric Diagrams in Class
  165.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  166.    wt: 6:   4 Similarity Definition with Coordinate
  167.    wt: 6:   3 Similarity by Design with coordinates
  168.    wt: 6:   2 Similarity By Design
  169.    wt: 6:   1 Early Concept of Like or Similar Shapes
  170.    wt: 6:   Four Simple Exercises
  171.    wt: 6:   12 Links Lessons elsewhere
  172.    wt: 6:   9 Midpoint Coordinates Half Endpoint Sum
  173.    wt: 6:   8 Mid Point Formula
  174.    wt: 6:   6 Intersection of lines by solving linear systems
  175.    wt: 6:   5 Algebraic View of Slopes
  176.    wt: 6:   2 point slope equation for a line
  177.    wt: 6:   1 Numerical view of lines and their equations
  178.    wt: 6:   What is and is not here
  179.    wt: 6:   13 Pythagorean spatial distance formulas
  180.    wt: 6:   12 Spatial Coordinates
  181.    wt: 6:   11 Triangle Inequality
  182.    wt: 6:   10 Pythagorean plane distance formula
  183.    wt: 6:   9 Pythagorean Theorem Chinese Square Proof
  184.    wt: 6:   6 Polar Multiplication and Rotation
  185.    wt: 6:   5 Cartesian Addition and Translation
  186.    wt: 6:   4 Polar Coordinates to and from
  187.    wt: 6:   3 Rectangular Coordinates Review
  188.    wt: 6:   2 Cartesian Coordinates with signs
  189.    wt: 6:   1 Cartesian Coordinates sans signs
  190.    wt: 6:   Euclidean Geometry Elsewhere LINKS
  191.    wt: 6:   PS G Rotation Distributes over Addition
  192.    wt: 6:   PS F Scalar Multiplication Distributes over Addition
  193.    wt: 6:   PS E Multiplication with Polar Coordinates
  194.    wt: 6:   PS D Addition with Cartesian Coordinates
  195.    wt: 6:   PS B Parallelogram Construction Methods
  196.    wt: 6:   PS A Kite Construction Methods
  197.    wt: 6:   21 Parallelograms
  198.    wt: 6:   19 Right Triangle Similarity
  199.    wt: 6:   18 Triangle Similarity Take 1
  200.    wt: 6:   17 Right Bisectors of Triangle Sides
  201.    wt: 6:   16 Angles Subtended By Chords and Diameters
  202.    wt: 6:   15 Triangle Angle Sum is 180 degrees
  203.    wt: 6:   14 Parallel Lines Postulate
  204.    wt: 6:   13 Angle Side Angle Failure
  205.    wt: 6:   12 Side Angle Side Failure
  206.    wt: 6:   11 Triangle Construction Fails
  207.    wt: 6:   10 Dropping a perpendicular to line
  208.    wt: 6:   9 Construction of a right bisector
  209.    wt: 6:   8 Isoceles Triangles
  210.    wt: 6:   6 Ruler and compass Angle Bisection
  211.    wt: 6:   5 Side Angle Side
  212.    wt: 6:   4 Side Side Side
  213.    wt: 6:   3 Isometry of Triangles Congruence
  214.    wt: 6:   2 Correspondence between Triangles
  215.    wt: 6:   1 Initial Concepts and Terms
  216.    wt: 6:   Short Course on Euclidean Geometry
  217.    wt: 6:   About Folder Contents
  218.    wt: 5:   2 Radian Measure Numerical Value of one degree
  219.    wt: 5:   1 Degrees and Radians Introduction
  220.    wt: 5:   11 A Partial Summary
  221.    wt: 5:   10 Midpoint of [a b] and [b a]
  222.    wt: 5:   4 Equations for lines three forms
  223.    wt: 5:   3 Slope product for perpendicular lines
  224.    wt: 5:   8 Distance Between Points on a Line
  225.    wt: 4:   Chapter 20 Vectors and Complex Numbers
  226.    wt: 3:   Maps Plans Drawings
  227.    wt: 3:   musings do not puiblish real numbers
  228.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  229.    wt: 3:   22 Multiplication of Signed Numbers
  230.    wt: 3:   19 Signed Multiples of Vectors
  231.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  232.    wt: 3:   13 Arrows and Vectors in a Plane
  233.    wt: 3:   12 Real Numbers Line Signed Coordinates
  234.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  235.    wt: 3:   3 Comparison of Negative Numbers
  236.    wt: 3:   6 adding signed numbers
  237.    wt: 3:   5 lengths and signs of numbers
  238.    wt: 3:   3 Multiplying Units and Numbers
  239.    wt: 3:   Chapter 4 Complex Numbers and Why Slopes
  240.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  241.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  242.    wt: 2:   Ramblings Extrinsic numbers theory
  243.    wt: 2:   2 arithmetic with signed numbers
  244.    wt: 2:   1 arithmetic with unsigned numbers
  245.    wt: 2:   About site lesson plans
  246.    wt: 2:   7 Student Motivation
  247.    wt: 2:   A Modular and Remainder Arithmetic
  248.    wt: 2:   A Signed Number Arithmetic Review
  249.    wt: 2:   26 More Less Greater Than Comparison
  250.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  251.    wt: 2:   23 Distributive Law Two Derivations
  252.    wt: 2:   21 Addition of Multiples of a Single Vector
  253.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  254.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  255.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  256.    wt: 2:   15 Head to Tails in place Addition Associative
  257.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  258.    wt: 2:   11 Signed Number Addition and Addition Properties
  259.    wt: 2:   9 Division with Digits after Decimal Point
  260.    wt: 2:   8 Division and Mulplication of Compound Fractions
  261.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  262.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  263.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  264.    wt: 2:   4 Location of Point in Decimal Addition
  265.    wt: 2:   3 Location of Point in Decimal Multiplication
  266.    wt: 2:   2 Counting Digits in Decimal Multiplication
  267.    wt: 2:   1 Fractions with Finite Decimal Expansions
  268.    wt: 2:   7 Decimals Multiplication Methods Examples
  269.    wt: 2:   5 Distributive Law for Whole Numbers
  270.    wt: 2:   1 The Counting Origins of Numbers
  271.    wt: 2:   4 Comparison of Negative Numbers
  272.    wt: 2:   16 Real Numbers Comparison
  273.    wt: 2:   12 Real Number Additive Inverses or Negatives
  274.    wt: 2:   10 Real Number Lengths and Signs
  275.    wt: 2:   9 Coordinates for Regions in Space
  276.    wt: 2:   8 Coordinates for Maps and Planes
  277.    wt: 2:   7 Real Numbers as Line Cordinates
  278.    wt: 2:   6 Unsigned Real Numbers
  279.    wt: 2:   5 Rational Numbers More
  280.    wt: 2:   4 Rational Numbers
  281.    wt: 2:   1 Whole and Natural Numbers
  282.    wt: 2:   7 Two Examples
  283.    wt: 2:   4 A Brief Story of numbers and algebra
  284.    wt: 2:   4 Greater More Less Than Signs in General
  285.    wt: 2:   2 More and Less Than with Unlike Signs
  286.    wt: 2:   1 More and Less Than for Counts and Measures
  287.    wt: 2:   11 What are real lengths and numbers
  288.    wt: 2:   10 dividing signed numbers
  289.    wt: 2:   9 subtracting signed numbers
  290.    wt: 2:   8 multiplying signed numbers
  291.    wt: 2:   7 negative and additive inverse
  292.    wt: 2:   4 signed coordinates for regions in space
  293.    wt: 2:   3 signed coordinates for maps and planes
  294.    wt: 2:   2 signed and unsigned numbers as coordinates
  295.    wt: 2:   7 Converting or Changing Units
  296.    wt: 2:   6 Simplification of Fractions with Units
  297.    wt: 2:   4 Fractions with Units
  298.    wt: 2:   2 Equality and Units
  299.    wt: 2:   1 Addition and Subtraction with Units
  300.    wt: 2:   9 Improper Fractions and Mixed Numbers
  301.    wt: 2:   8 Multiplication by Signed Numbers Integers
  302.    wt: 2:   7 Multiplication by Signs
  303.    wt: 2:   6 Multiplication by Natural Numbers
  304.    wt: 2:   7 Long Divison Mistake Catching
  305.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  306.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  307.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  308.    wt: 2:   Quick history of numbers and algebra
  309.    wt: 2:   011 Division of Time Intervals By Numbers
  310.    wt: 2:   Chapter 23 Links To Trigonometry
  311.    wt: 2:   Chapter 22 Complex Numbers
  312.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  313.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  314.    wt: 1:   Appendix 2 primary school Arithmetic 01
  315.    wt: 1:   Appendix 1 primary and preschool mathematic
  316.    wt: 1:   K LAMP Musings Science Education
  317.    wt: 1:   J LAMP Introduction Extrinsic Origins
  318.    wt: 1:   I LAMP Introduction Study Habits
  319.    wt: 1:   H LAMP Introduction Instructional Concepts
  320.    wt: 1:   G LAMP Introduction Problem Solving Skills
  321.    wt: 1:   F LAMP Introduction Prerequisites
  322.    wt: 1:   E LAMP Introduction Modern Mathematics
  323.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  324.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  325.    wt: 1:   A Introduction Objectives
  326.    wt: 1:   Skills Chapter 5 Calculus
  327.    wt: 1:   Skills Chapter 4 Logic
  328.    wt: 1:   Ramblings Introduction Algebra Essay
  329.    wt: 1:   Skills Chapter 3 Algebra
  330.    wt: 1:   Skills Chapter 2 Geometry
  331.    wt: 1:   Skills Chapter 1 Arithmetic
  332.    wt: 1:   Skills Chapter 0 Introduction
  333.    wt: 1:   11 pure mathematics
  334.    wt: 1:   10 statistics
  335.    wt: 1:   9 combinatorics probability sets
  336.    wt: 1:   8 analytic geometry etc
  337.    wt: 1:   7 logic review and decimals an odd combination
  338.    wt: 1:   6 polynomials etc
  339.    wt: 1:   5 logarithms and exponentials etc
  340.    wt: 1:   4 algebra
  341.    wt: 1:   3 Euclidean Geometry Leanly
  342.    wt: 1:   What is POMME
  343.    wt: 1:   why bother
  344.    wt: 1:   which way to go
  345.    wt: 1:   website reviews
  346.    wt: 1:   three goals to set for students
  347.    wt: 1:   Teach the teachers plus goals
  348.    wt: 1:   permissions for teachers
  349.    wt: 1:   Math Ed if it must be short make it lean effective
  350.    wt: 1:   Applied Maths Program14092009 POMME variant
  351.    wt: 1:   activities for students
  352.    wt: 1:   links Education Resources online
  353.    wt: 1:   site origins
  354.    wt: 1:   site eurekas
  355.    wt: 1:   key notes and themes
  356.    wt: 1:   Mathematics Education Professors
  357.    wt: 1:   teacher certification
  358.    wt: 1:   modern education
  359.    wt: 1:   learning takes time
  360.    wt: 1:   grouping students according to ability
  361.    wt: 1:   what should be learnt and When
  362.    wt: 1:   mathematics in context
  363.    wt: 1:   Postscript 2007 01 10
  364.    wt: 1:   Education Reform Inconsistencies
  365.    wt: 1:   five decades make a difference
  366.    wt: 1:   how letters appear
  367.    wt: 1:   Secondary Three Mathematics
  368.    wt: 1:   Secondary Two Mathematics
  369.    wt: 1:   Secondary One Mathematics
  370.    wt: 1:   talk the algebra talk
  371.    wt: 1:   three difficulties
  372.    wt: 1:   teaching tips
  373.    wt: 1:   What to Tell Students
  374.    wt: 1:   mathematics curriculum shifts
  375.    wt: 1:   geometric implications for algebra
  376.    wt: 1:   teaching tutoring algebraic reason
  377.    wt: 1:   Lessening Algebra Difficulties
  378.    wt: 1:   the trouble with algebra
  379.    wt: 1:   three goals for Mathematics Education
  380.    wt: 1:   05 13 OldSiteEntrancePage
  381.    wt: 1:   04 29 New Mathematics Curriculum
  382.    wt: 1:   04 25 when to stop or suspend mathemat
  383.    wt: 1:   02 21 words for teachers
  384.    wt: 1:   02 20 mathematics education references
  385.    wt: 1:   three aims for mathematics students
  386.    wt: 1:   standards for course material
  387.    wt: 1:   Operational Viewpoint to Value
  388.    wt: 1:   formal or informal peer review
  389.    wt: 1:   Theory of Knowledge
  390.    wt: 1:   mathematics instruction in general
  391.    wt: 1:   Education in mathematics science and technology
  392.    wt: 1:   Different Kinds of Reasoning in maths
  393.    wt: 1:   three kinds of reason in mathematics
  394.    wt: 1:   cultivating intelligence
  395.    wt: 1:   Four ways to improve education reform
  396.    wt: 1:   How to be a better instructor
  397.    wt: 1:   Motivation and Context Problem
  398.    wt: 1:   need for a mixed mathematics curriculum
  399.    wt: 1:   Leaner mathematics curriculum
  400.    wt: 1:   Prequel In For A Penny In For A Pound
  401.    wt: 1:   education an empirical art
  402.    wt: 1:   fairness and inductive principles for instruction
  403.    wt: 1:   words for mathematics instructor
  404.    wt: 1:   chapitre 12 00 les iles et division
  405.    wt: 1:   chapitre 07 01 principle D induction mathematique
  406.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  407.    wt: 1:   chapitre 06 00 Chaines de la raison
  408.    wt: 1:   chapitre 05 00 Deception
  409.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  410.    wt: 1:   chapitre 04 09 Regles accidentelles
  411.    wt: 1:   chapitre 04 08 Limitations et benefices
  412.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  413.    wt: 1:   chapitre 04 06 engagements
  414.    wt: 1:   chapitre 04 05 Implication versus suggestion
  415.    wt: 1:   chapitre 04 04 Parlons de la logique
  416.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  417.    wt: 1:   chapitre 04 02 Deuxieme enigme
  418.    wt: 1:   chapitre 04 01 Premiere enigme
  419.    wt: 1:   chapitre 04 00 Les regles d implication
  420.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  421.    wt: 1:   chapitre 02 00 La Communication des idees
  422.    wt: 1:   chapitre 01 00 Introduction
  423.    wt: 1:   liens
  424.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  425.    wt: 1:   problemes responses
  426.    wt: 1:   problemes algebre et arithmetique
  427.    wt: 1:   Trois Notions qui menent a algebre
  428.    wt: 1:   deux definitions pour variable
  429.    wt: 1:   logique deux enigme
  430.    wt: 1:   4 Energy Power Heat09
  431.    wt: 1:   3 Energy Power Heat08
  432.    wt: 1:   2 Energy Power Heat07
  433.    wt: 1:   1 Energy Power Heat06
  434.    wt: 1:   E Energy Power05
  435.    wt: 1:   D Energy Power04
  436.    wt: 1:   C Energy Power03
  437.    wt: 1:   B Energy Power02
  438.    wt: 1:   A Energy Power01
  439.    wt: 1:   2 Conductance Resistance Duality02
  440.    wt: 1:   1 Conductance Resistance Duality01
  441.    wt: 1:   F Wire Resistance Calculation04
  442.    wt: 1:   E Wire Resistance Calculation03
  443.    wt: 1:   D Wire Resistance Calculation02
  444.    wt: 1:   C Wire Resistance Calculation01
  445.    wt: 1:   B Wire Resistance Qualitative02
  446.    wt: 1:   A Wire Resistance Qualitative01
  447.    wt: 1:   3 Like resistors in parallel
  448.    wt: 1:   2 Unlike resistors in parallel01
  449.    wt: 1:   1 Like resistors in series
  450.    wt: 1:   H Series Circuit02
  451.    wt: 1:   G Series Circuit01
  452.    wt: 1:   F Unlike Resistors in Series
  453.    wt: 1:   E Kirchoffs Second Law
  454.    wt: 1:   D Kirchoff First Law
  455.    wt: 1:   C Electromotive force conventional current02
  456.    wt: 1:   B Electromotive force conventional current01
  457.    wt: 1:   A Circuit Elements
  458.    wt: 1:   Home Tutoring and Home Schooling
  459.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  460.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  461.    wt: 1:   24 Standards For Skill Develoment Take II
  462.    wt: 1:   24 Standards For Skill Develoment
  463.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  464.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  465.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  466.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  467.    wt: 1:   22 Student Centered Highschool Mathematics
  468.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  469.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  470.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  471.    wt: 1:   18 Primary School Mathematics
  472.    wt: 1:   17 Math Booklets for children and young teenagers
  473.    wt: 1:   16 Secondary Mathematics Tips
  474.    wt: 1:   15 Counting For Parents
  475.    wt: 1:   14 Multiplication and Times Tables
  476.    wt: 1:   13 Addition and Addition Tables
  477.    wt: 1:   12 Goals and Objectives For Mathematics
  478.    wt: 1:   11 Help and Defend Your Child or Teens Education
  479.    wt: 1:   10 Ends values for work study instruction
  480.    wt: 1:   9 Streaming by Student Cooperation
  481.    wt: 1:   8 The Effect of Negative Remarks
  482.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  483.    wt: 1:   5 Patience Please for Yourself and Your Charges
  484.    wt: 1:   4 Learning Takes Time and Effort
  485.    wt: 1:   3 Preparing for Science Studies
  486.    wt: 1:   2 Reading and Writing Skills
  487.    wt: 1:   1 Speaking Skills
  488.    wt: 1:   Ages 8 to 9
  489.    wt: 1:   Ages 7 to 8
  490.    wt: 1:   Ages 6 to 7
  491.    wt: 1:   Ages 4 plus to 5 plus
  492.    wt: 1:   Ages 3 plus to 4 plus
  493.    wt: 1:   sign monoticity analysis example 4
  494.    wt: 1:   sign monoticity analysis example 3
  495.    wt: 1:   sign monoticity analysis example 2
  496.    wt: 1:   sign monoticity analysis example 1
  497.    wt: 1:   26 Function definitions done and coming
  498.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  499.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  500.    wt: 1:   23 Inverse Functions
  501.    wt: 1:   22 Square Root function graphically
  502.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  503.    wt: 1:   20 Interchanging coordinates a reflection
  504.    wt: 1:   19 Horizontal line rule and method
  505.    wt: 1:   18 Vertical Line Rule and Method
  506.    wt: 1:   17 Function maxima minima and their location
  507.    wt: 1:   16 Increasing or decreasing on intervals
  508.    wt: 1:   15 Sign analysis of functions
  509.    wt: 1:   14 Surjections Injections Bijections
  510.    wt: 1:   13 From one to one to many to one
  511.    wt: 1:   12 Function Domain Recognition Exercises
  512.    wt: 1:   11 Function Domain Range Source and Targets
  513.    wt: 1:   10 Interval Notation
  514.    wt: 1:   9 Set theory term relation possible origins
  515.    wt: 1:   8 Set view of relations and functions
  516.    wt: 1:   7 Functions with finite domains
  517.    wt: 1:   6 Set Existence Formation and Notation
  518.    wt: 1:   5 Function notation for geometric transformations
  519.    wt: 1:   4 Function notation in and beyond mathematics
  520.    wt: 1:   3 Formula or function graphing exercise
  521.    wt: 1:   2 Algebraic use of function notation
  522.    wt: 1:   1 Geometric Introduction of Function Notation
  523.    wt: 1:   Introduction Reading Guide
  524.    wt: 1:   10 quadratic exercises
  525.    wt: 1:   9 quadratics physical and further context
  526.    wt: 1:   8 quadratics backward use of various formulas
  527.    wt: 1:   6 quadratics numerical approach
  528.    wt: 1:   4 quadratics difference of two squares
  529.    wt: 1:   1 quadratics graphing exercises
  530.    wt: 1:   Quadratics in 10 steps
  531.    wt: 1:   11 Growth and Decay in Biology
  532.    wt: 1:   5 Natural Logarithm Calculator Exercises
  533.    wt: 1:   1 Calculator Starter Exercises
  534.    wt: 1:   8 Notes for instructors or tutors
  535.    wt: 1:   7 Links Lessons Elsewhere
  536.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  537.    wt: 1:   4 Polynomials Long division linear divisor
  538.    wt: 1:   3 Polynomials Multiplication Addition
  539.    wt: 1:   2 Column Multiplication Method
  540.    wt: 1:   1 Polynomials Distributive Law
  541.    wt: 1:   Rewriting algebraic substitution as function substitutions
  542.    wt: 1:   E Long Division Methods more
  543.    wt: 1:   D Long Division Methods
  544.    wt: 1:   C Three Decimal Subtraction Methods
  545.    wt: 1:   B Decimal Comparison and Subtraction
  546.    wt: 1:   A Decimal Addition Columm Methods
  547.    wt: 1:   8 Column Multiplication Methods in General
  548.    wt: 1:   6 Column Methods for Decimal Multiplication
  549.    wt: 1:   4 Commutative Law Groups Counting Form
  550.    wt: 1:   3 Multiplicative Counting Skills Principles
  551.    wt: 1:   2 Combing Counts Addition Skills and Principles
  552.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  553.    wt: 1:   5 Proportionality in Equivalent Fractions
  554.    wt: 1:   4 Rates Ratios and Proporitionality
  555.    wt: 1:   3 Proportionality Examples
  556.    wt: 1:   2 Algebraic View
  557.    wt: 1:   1 What is Proportionality
  558.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  559.    wt: 1:   6 Compound Interest Forward and Backwards
  560.    wt: 1:   3 Linear Equation Literal Solution More
  561.    wt: 1:   2 Linear Equation Literal Solution
  562.    wt: 1:   5 Greater More Less Than Signs in General
  563.    wt: 1:   3 More and Less Than with Unlike Signs
  564.    wt: 1:   2 More and Less Than for Counts and Measures
  565.    wt: 1:   1 Real Numbers Comparison
  566.    wt: 1:   15 Real Number Division
  567.    wt: 1:   14 Real Number Multiplication
  568.    wt: 1:   13 Real Number Subtraction
  569.    wt: 1:   11 Real Number Addition
  570.    wt: 1:   3 Fractions
  571.    wt: 1:   2 Integers
  572.    wt: 1:   5 Independent versus Dependent Variables
  573.    wt: 1:   More Exercises
  574.    wt: 1:   Simple Exercises
  575.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  576.    wt: 1:   4 GE III Animated Examples
  577.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  578.    wt: 1:   3 GE III Equation Addition and Multiplication
  579.    wt: 1:   2 GE II Comparison
  580.    wt: 1:   1 GE Substitution four examples
  581.    wt: 1:   4 Solving a triangular system exercise
  582.    wt: 1:   3 Solving triangular system example
  583.    wt: 1:   2 Essentially one exercises three with solution
  584.    wt: 1:   1 Essentially One Unknown
  585.    wt: 1:   6 Algebraic Solution Example
  586.    wt: 1:   5 Algebraic Solutions Introduction
  587.    wt: 1:   4 Four Examples Fractional Coefficients
  588.    wt: 1:   3 Four Examples
  589.    wt: 1:   2 Three Examples
  590.    wt: 1:   Skill Development Notes
  591.    wt: 1:   10 One Example
  592.    wt: 1:   9 Three Examples
  593.    wt: 1:   8 One Example
  594.    wt: 1:   6 Three Examples
  595.    wt: 1:   5 Three Examples
  596.    wt: 1:   4 Two Examples
  597.    wt: 1:   3 Two Examples
  598.    wt: 1:   2 Three Examples
  599.    wt: 1:   Using Letters for Physical Quantities
  600.    wt: 1:   13 Naming Identifying Formulas with Words
  601.    wt: 1:   11 Volume of Sphere
  602.    wt: 1:   10 Volume of Pyramid
  603.    wt: 1:   9 Volume of Cone
  604.    wt: 1:   8 Compound Interest Formula Evaluation
  605.    wt: 1:   7 Compound Interest Formula Introduction
  606.    wt: 1:   9 Sets in Probability and Statistics
  607.    wt: 1:   8 Sets of Numbers
  608.    wt: 1:   7 Cautious or Safe Set Construction
  609.    wt: 1:   2 Venn Diagrams
  610.    wt: 1:   6 Three Notions of What is a Variable
  611.    wt: 1:   5 Talking about Numbers and Quantities
  612.    wt: 1:   3 Adding Words To Arithmetic
  613.    wt: 1:   2 What is a Variable
  614.    wt: 1:   About Folder Contents
  615.    wt: 1:   arithmetic videos Real Player Format
  616.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  617.    wt: 1:   D Three Term Ratios
  618.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  619.    wt: 1:   B Fractions and Two Term Ratios
  620.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  621.    wt: 1:   22 Complex Compound Fractions
  622.    wt: 1:   21 Working With Signs
  623.    wt: 1:   21 Reciprocals for Fractions and Wholes
  624.    wt: 1:   20 Dividing Fractions the Why
  625.    wt: 1:   19 Dividing Fractions How TO
  626.    wt: 1:   18 Efficient Ways to Multiply
  627.    wt: 1:   17 Efficient Ways to Add and Subtract
  628.    wt: 1:   16 Addition Subtraction Comparision Compared
  629.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  630.    wt: 1:   14 Adding and Subtracting with Like Denominators
  631.    wt: 1:   13 Fraction Comparison Algebraic View
  632.    wt: 1:   12 Fraction Comparison
  633.    wt: 1:   11 Simplification an Algebraic View
  634.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  635.    wt: 1:   8 Numerals Fractionals Quantals Take II
  636.    wt: 1:   7 Numerals Fractionals Quantals
  637.    wt: 1:   6 Multiplication of Mixed Numbers
  638.    wt: 1:   6 Multiplication Algebraically Take II
  639.    wt: 1:   5 Equivalent Fractions
  640.    wt: 1:   4 Fraction Multiplication
  641.    wt: 1:   3 Unit fraction of a fraction
  642.    wt: 1:   2 Unit Fraction Multiplication
  643.    wt: 1:   1 What is a fraction Take II
  644.    wt: 1:   1 What is a fraction
  645.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  646.    wt: 1:   B Integer Long Division Multiple Choices
  647.    wt: 1:   A Associative Law Theorectical Note
  648.    wt: 1:   12 Adding Integers More Examples
  649.    wt: 1:   11 Adding Integers Formulas and Examples
  650.    wt: 1:   9 Multiplying Integers
  651.    wt: 1:   5 Zero Movement and Additive Inverses
  652.    wt: 1:   4 Adding Movements wiht opposite directions
  653.    wt: 1:   3 Adding Movements with same direction
  654.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  655.    wt: 1:   1 Integers as Coordinates
  656.    wt: 1:   20 Uniqueness of Prime Factorization
  657.    wt: 1:   17 Identify and Count Factors using Primes
  658.    wt: 1:   12 LCD GCD and LCM using Primes
  659.    wt: 1:   11 Efficient Square Rule Use
  660.    wt: 1:   7 Calculator Usage Notes and Cautions
  661.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  662.    wt: 1:   2 Prime and Composites less than 16
  663.    wt: 1:   12 Why Long Division Works Take III
  664.    wt: 1:   11 Another Single Digit Divisor Example
  665.    wt: 1:   10 Division by Five Long and Short Ways
  666.    wt: 1:   9 Why Long Division Works Take II
  667.    wt: 1:   8 Correcting the Mistake
  668.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  669.    wt: 1:   5 Long Division Include Zeroes or not
  670.    wt: 1:   4 Division with 2 Digit Divsors
  671.    wt: 1:   3 Division Single Digit Divisor Example
  672.    wt: 1:   2 Division with Single Digit Divisors
  673.    wt: 1:   1 Divsion Physical Examples
  674.    wt: 1:   D Decimal Multiplication Methods Derived
  675.    wt: 1:   C Counting Areas with Powers of Ten
  676.    wt: 1:   B Powers of Ten
  677.    wt: 1:   A Elementary Basis for Multiplication Methods
  678.    wt: 1:   6 Multiplication Commutes Order Not Important
  679.    wt: 1:   4 Two and Three Digit Multipliers
  680.    wt: 1:   3 More One Digit Multipliers
  681.    wt: 1:   2 One Digit Multipliers
  682.    wt: 1:   1 Why 3 times 5 gives 15
  683.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  684.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  685.    wt: 1:   9 22 Minute Subtraction Review Video
  686.    wt: 1:   8 Subtraction with Units of Measure
  687.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  688.    wt: 1:   5 A Tip for Efficent Subtraction
  689.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  690.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  691.    wt: 1:   2 Subtraction Easy Case Examples
  692.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  693.    wt: 1:   8 What skills and work habits to require
  694.    wt: 1:   7 Adding decimal fractions using decimal point
  695.    wt: 1:   6. Counting and adding units and mixed units
  696.    wt: 1:   5. How to add decimals C. Examples
  697.    wt: 1:   4. How to add with decimals B with conversions
  698.    wt: 1:   3. How to add with decimals A sans conversions
  699.    wt: 1:   2 Decimal Counting Practices
  700.    wt: 1:   1. Explaining Addition Table
  701.    wt: 1:   11 Place Value SI Standard International way
  702.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  703.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  704.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  705.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  706.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  707.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  708.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  709.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  710.    wt: 1:   Exact Arithmetic Wholes and Fractions
  711.    wt: 1:   The 20 Times Table
  712.    wt: 1:   The 12 Times Table Visually
  713.    wt: 1:   About folder contents
  714.    wt: 1:   016 Numbering Occidental Calendar Days
  715.    wt: 1:   015 School and work day counting tables
  716.    wt: 1:   014 Counting Days with Calendars
  717.    wt: 1:   013 Travel Time Tables
  718.    wt: 1:   012 Division of Time Intervals by Time Intervals
  719.    wt: 1:   010 Repeated Addition of Time Intervals
  720.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  721.    wt: 1:   8 Addition of Time Intervals via subtotaling
  722.    wt: 1:   7 Addition of Time Intervals
  723.    wt: 1:   5 Conversion Arithmetic
  724.    wt: 1:   4 Mixing and Changing Units of Time
  725.    wt: 1:   3 Units and Lengths of Time
  726.    wt: 1:   2 Time and Date Matters in School
  727.    wt: 1:   1 Intro of Kids To Time Date Skills
  728.    wt: 1:   A Related Material in Volume 3
  729.    wt: 1:   5 Area Under Curve Exercise
  730.    wt: 1:   A Related lessons in Volume 3
  731.    wt: 1:   3 Second derivative test
  732.    wt: 1:   2 Second derivative test prequel
  733.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  734.    wt: 1:   A Chain Rule Real Player video examples
  735.    wt: 1:   36 Cube root derivative animated
  736.    wt: 1:   33 Chain Rule Real Player video examples
  737.    wt: 1:   30Chain Rule A Proof
  738.    wt: 1:   29 Chain Rule Optional Reading
  739.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  740.    wt: 1:   25 Chain Rule Animated Examples Continued
  741.    wt: 1:   24 Chain Rule Animated Examples
  742.    wt: 1:   20 Chain Rule for Pulley Systems
  743.    wt: 1:   18 Chain Rule Introduction
  744.    wt: 1:   17 Derivatives of quotients of sine and cosine
  745.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  746.    wt: 1:   12 Quotient rule examples
  747.    wt: 1:   11 Quotient rule
  748.    wt: 1:   10 Power rule for negative integers
  749.    wt: 1:   9 Reciprocal rule
  750.    wt: 1:   7 Animated Differentiation Examples
  751.    wt: 1:   6 Power rule from product rule
  752.    wt: 1:   5 Product Rule
  753.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  754.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  755.    wt: 1:   11 Limits at infinity Three Examples
  756.    wt: 1:   10 Three one sided limits with infinite values
  757.    wt: 1:   9 Limits Continuity and Composition
  758.    wt: 1:   8 Four Animated Examples
  759.    wt: 1:   7 Evaluation by immediate or delayed substitution
  760.    wt: 1:   3 Decimal insights for limits continuity convergence
  761.    wt: 1:   2 Algebraic codification
  762.    wt: 1:   1 Numerical introduction
  763.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  764.    wt: 1:   PostScript For and Against Decimal Perspectives
  765.    wt: 1:   A1. Introduction
  766.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  767.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  768.    wt: 1:   Chapter 13. Acceleration
  769.    wt: 1:   Chapter 12. Units and Slopes
  770.    wt: 1:   Chapter 11. Graphing Slope versus Position
  771.    wt: 1:   Chapter 10 Slopes and Units
  772.    wt: 1:   Chapter 9 About First Courses in Calculus
  773.    wt: 1:   Chapter 8. Slope Interpretation
  774.    wt: 1:   Chapter 7 Slopes and Velocity
  775.    wt: 1:   Chapter 5. Slope Sign Tests
  776.    wt: 1:   Chapter 3. Slope Sign Analysis
  777.    wt: 1:   Chapter 1.Introduction
  778.    wt: 1:   Fall 1983 Calculus Appetizer
  779.    wt: 1:   Foreword
  780.    wt: 1:   Postscript More on Better Performance
  781.    wt: 1:   Postscript For Better Performance
  782.    wt: 1:   Appendix E. How To Study Mathematics and Why
  783.    wt: 1:   Appendix D. What to do in School and Why
  784.    wt: 1:   Appendix C. How to Read
  785.    wt: 1:   Appendix B. How To Learn
  786.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  787.    wt: 1:   Chapter 31 Direct and Indirect Reason
  788.    wt: 1:   Chapter 30 Truth Tables
  789.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  790.    wt: 1:   Chapter 28 Occurrence Tables
  791.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  792.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  793.    wt: 1:   Chapter 21. Third Reading Guide
  794.    wt: 1:   Chapter 19. Functions and Sets
  795.    wt: 1:   Chapter 18. Rules for Algebra
  796.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  797.    wt: 1:   Chapter 16. Painless Theorem Proving
  798.    wt: 1:   Chapter 15. Solving Linear Equations
  799.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  800.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  801.    wt: 1:   Chapter 13. Second Reading Guide
  802.    wt: 1:   Chapter 12. Shorthand Usage Guide
  803.    wt: 1:   Chapter 11. Why Shorthand
  804.    wt: 1:   Chapter 10 Describing and Changing Calculations
  805.    wt: 1:   Postscript What is a Variable
  806.    wt: 1:   Solutions For Arithmetic Exercises
  807.    wt: 1:   Chapter 6 Change of Language
  808.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  809.    wt: 1:   Chapter 4 Longer Chains of Reason
  810.    wt: 1:   Chapter 3 Chains of Reason
  811.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  812.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  813.    wt: 1:   Foreword
  814.    wt: 1:   Annotated Links to Material Elsehwere
  815.    wt: 1:   Postscript B Mathematics Education References
  816.    wt: 1:   Postscript A Three Remarks
  817.    wt: 1:   Chapter 12 Four Phases
  818.    wt: 1:   Chapter 11 Elementary Instruction
  819.    wt: 1:   Chapter 10 Transition
  820.    wt: 1:   Chapter 9 The Two Ends
  821.    wt: 1:   Chapter 8 Modern Instruction
  822.    wt: 1:   Chapter 7 Two Treatments of Geometry
  823.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  824.    wt: 1:   Chapter 5 Four References
  825.    wt: 1:   Chapter 3 Algebra Difficulties
  826.    wt: 1:   Chapter 2 For and Against Mathematics
  827.    wt: 1:   Chapter 1 Introduction
  828.    wt: 1:   Foreword
  829.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  830.    wt: 1:   Postscript C Consistency as a Tool for Reason
  831.    wt: 1:   Postscript B More on Story Telling and Reason
  832.    wt: 1:   Postscript A Story Telling
  833.    wt: 1:   Chapter 24 Direct and Indirect Reason
  834.    wt: 1:   Chapter 23 Truth Tables
  835.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  836.    wt: 1:   Chapter 21 Occurrence Tables
  837.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  838.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  839.    wt: 1:   Chapter 18 Sense and Knowledge
  840.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  841.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  842.    wt: 1:   Chapter 15 Objective Processes
  843.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  844.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  845.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  846.    wt: 1:   Chapter 11 Accidental Patterns
  847.    wt: 1:   Chapter 10 Responsibility
  848.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  849.    wt: 1:   Chapter 8 Change of Language
  850.    wt: 1:   Chapter 7 Longer Chains of Reason
  851.    wt: 1:   Chapter 6 Chains of Reason
  852.    wt: 1:   Chapter 5 Deception
  853.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  854.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  855.    wt: 1:   Chapter 2 Skill Development
  856.    wt: 1:   Chapter 1 Introduction
  857.    wt: 1:   Three Remarks
  858.    wt: 1:   Foreword
  859.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  860.    wt: 1:   S Adding words to algebra
  861.    wt: 1:   R Why Learn Mathematics Skills
  862.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  863.    wt: 1:   O On Learning Mathematics and Science
  864.    wt: 1:   N Mathematics Prepare for College Studies
  865.    wt: 1:   M Words to extend arithmetic
  866.    wt: 1:   L Skills with take home value
  867.    wt: 1:   J. More on written work and showing skill
  868.    wt: 1:   I. Logic and language skills
  869.    wt: 1:   H more Routine to non routine problem solving
  870.    wt: 1:   H Jigsaw puzzles and problem solving
  871.    wt: 1:   F. The student teacher tutor feedback loop
  872.    wt: 1:   E. When and how to correct errors
  873.    wt: 1:   D. Check work a must with a caution
  874.    wt: 1:   C. Domino effect of being careful
  875.    wt: 1:   B. Domino effect of errors
  876.    wt: 1:   A. Skill has to be seen to believed
  877.    wt: 1:   How to Build Skills and Confidence
  878.    wt: 1:   Chapter 8 Skipped Topics and Why
  879.    wt: 1:   Chapter 6 More Algebra and Geometry
  880.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  881.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  882.    wt: 1:   Chapter 3 Algebra Starter Lessons
  883.    wt: 1:   Chapter 2 Why Sets
  884.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  885.    wt: 1:   7 Games and Activities for Instruction
  886.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  887.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  888.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  889.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  890.    wt: 1:   Helping the Blind in Logic and Mathematics
  891.    wt: 1:   Mathematics Education References
  892.    wt: 1:   Mathematics Education References
  893.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  894.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  895.    wt: 1:   Implementation Notes
  896.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  897.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  898.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  899.    wt: 1:   Which Way To Go
  900.    wt: 1:   Mathematics Teacher Certification Best Practices
  901.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  902.    wt: 1:   Road Safety Questions
  903.    wt: 1:   The Math Forum and Site Content
  904.    wt: 1:   Site Reviews
  905.    wt: 10:   20 N th Roots of Complex Numbers
  906.    wt: 10:   8 Unit Circle Development of Trigonometry
  907.    wt: 10:   6 Field Properties of Complex Number
  908.    wt: 10:   2 Complex Numbers made easier we hope
  909.    wt: 10:   Appetizer A Complex Number Applet
  910.    wt: 10:   4 Angles on Maps Plans drawn to scale
  911.    wt: 10:   3 Lengths and Areas on Maps and Plans

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 bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

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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