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

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

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

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

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

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

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

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50 matches:

  1.    wt: 8:   8 Unit Circle Trigonometry/
  2.    wt: 7:   2 Euclidean Geometry Constructions Theory extras/
  3.    wt: 7:   1 Maps Plans Measurement/
  4.    wt: 6:   13 Vectors/
  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:   7 Complex Numbers/
  13.    wt: 5:   5 What is Similarity/
  14.    wt: 5:   4 Lines and Slopes Take 1/
  15.    wt: 5:   3 Cartesian and Polar Coordinates/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 4:   C Decimal Multiplication Methods/
  18.    wt: 4:   B Decimal Comparing and Subtracting Methods/
  19.    wt: 3:   D Decimal Long Division Methods/
  20.    wt: 3:   A Decimal Counting and Adding Methods/
  21.    wt: 2:   2 Natural Logarithms Exponentials Powers Roots/
  22.    wt: 2:   A Origins of Counting and Figuring Methods/
  23.    wt: 2:   8 Unifying Theme For Algebra/
  24.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  25.    wt: 2:   2 Formula Forward Use Evaluation/
  26.    wt: 2:   8 Arithmetic with Signed Numbers/
  27.    wt: 2:   2 Arithmetic with Decimals/
  28.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  29.    wt: 1:   4 Functions/
  30.    wt: 1:   3 Quadratics Geometrically/
  31.    wt: 1:   1 Five Polynomial Operations/
  32.    wt: 1:   More Algebra/
  33.    wt: 1:   B Real Numbers Extrinsic Development/
  34.    wt: 1:   10 Examples of Algebraic Reasoning/
  35.    wt: 1:   9 Proportionality Backwards and Forwards/
  36.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  37.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  38.    wt: 1:   5 Real Numbers/
  39.    wt: 1:   4 Computation Rules and Function Notation/
  40.    wt: 1:   Step 4 Gaussian Elimination/
  41.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  42.    wt: 1:   Step 1 Stick diagram and fractions/
  43.    wt: 1:   3 Solving Linear Equations/
  44.    wt: 1:   1 Working With Sets/
  45.    wt: 1:   Algebra Starter Lessons/
  46.    wt: 1:   38 Lessons on Calculating Derivatives/
  47.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  48.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  49.    wt: 1:   Volume 1A Pattern Based Reason/
  50.    wt: 1:   Volume 1 Elements of Reason/

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94 matches:

  1.    wt: 3:   2 Column Multiplication Method
  2.    wt: 3:   8 Column Multiplication Methods in General
  3.    wt: 3:   6 Column Methods for Decimal Multiplication
  4.    wt: 2:   Maps Plans Drawings
  5.    wt: 2:   4 Angles on Maps Plans drawn to scale
  6.    wt: 2:   3 Lengths and Areas on Maps and Plans
  7.    wt: 2:   7 Decimals Multiplication Methods Examples
  8.    wt: 2:   D Decimal Multiplication Methods Derived
  9.    wt: 2:   A Elementary Basis for Multiplication Methods
  10.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  11.    wt: 1:   About site lesson plans
  12.    wt: 1:   02 21 words for teachers
  13.    wt: 1:   02 20 mathematics education references
  14.    wt: 1:   chapitre 04 08 Limitations et benefices
  15.    wt: 1:   chapitre 04 02 Deuxieme enigme
  16.    wt: 1:   chapitre 02 00 La Communication des idees
  17.    wt: 1:   3 Energy Power Heat08
  18.    wt: 1:   B Energy Power02
  19.    wt: 1:   2 Conductance Resistance Duality02
  20.    wt: 1:   D Wire Resistance Calculation02
  21.    wt: 1:   B Wire Resistance Qualitative02
  22.    wt: 1:   H Series Circuit02
  23.    wt: 1:   C Electromotive force conventional current02
  24.    wt: 1:   14 Multiplication and Times Tables
  25.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  26.    wt: 1:   19 Horizontal line rule and method
  27.    wt: 1:   18 Vertical Line Rule and Method
  28.    wt: 1:   3 Polynomials Multiplication Addition
  29.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  30.    wt: 1:   13 Velocity Vectors in Physics
  31.    wt: 1:   11 Component Method
  32.    wt: 1:   10 Parallelogram Addition Method
  33.    wt: 1:   8 Parallel Vectors
  34.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  35.    wt: 1:   6 Vectors with Coordinates
  36.    wt: 1:   3 Navigation with Arrows or Vectors
  37.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  38.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  39.    wt: 1:   Unit Circle Development of Trigonometry
  40.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  41.    wt: 1:   8 Unit Circle Development of Trigonometry
  42.    wt: 1:   4 Multiplication Properties
  43.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  44.    wt: 1:   Why Trigonometry the whyslopes view
  45.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  46.    wt: 1:   6 Polar Multiplication and Rotation
  47.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  48.    wt: 1:   PS E Multiplication with Polar Coordinates
  49.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  50.    wt: 1:   PS B Parallelogram Construction Methods
  51.    wt: 1:   PS A Kite Construction Methods
  52.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  53.    wt: 1:   6 Figuring with Maps Not to Scale
  54.    wt: 1:   22 Multiplication of Signed Numbers
  55.    wt: 1:   19 Signed Multiples of Vectors
  56.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  57.    wt: 1:   13 Arrows and Vectors in a Plane
  58.    wt: 1:   3 Location of Point in Decimal Multiplication
  59.    wt: 1:   2 Counting Digits in Decimal Multiplication
  60.    wt: 1:   E Long Division Methods more
  61.    wt: 1:   D Long Division Methods
  62.    wt: 1:   C Three Decimal Subtraction Methods
  63.    wt: 1:   A Decimal Addition Columm Methods
  64.    wt: 1:   2 Addition and Multiplication Axioms
  65.    wt: 1:   14 Real Number Multiplication
  66.    wt: 1:   8 Coordinates for Maps and Planes
  67.    wt: 1:   3 GE III Equation Addition and Multiplication
  68.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  69.    wt: 1:   2 Least Common Multiple LCM intro via list method
  70.    wt: 1:   1 Counting and Counting Methods I
  71.    wt: 1:   3 signed coordinates for maps and planes
  72.    wt: 1:   6 Multiplication of Mixed Numbers
  73.    wt: 1:   6 Multiplication Algebraically Take II
  74.    wt: 1:   4 Fraction Multiplication
  75.    wt: 1:   2 Unit Fraction Multiplication
  76.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  77.    wt: 1:   10 Integer Multiplication Formulas
  78.    wt: 1:   8 Multiplication by Signed Numbers Integers
  79.    wt: 1:   7 Multiplication by Signs
  80.    wt: 1:   6 Multiplication by Natural Numbers
  81.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  82.    wt: 1:   6 Multiplication Commutes Order Not Important
  83.    wt: 1:   5 Decimal Fraction Multiplication
  84.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  85.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  86.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  87.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  88.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  89.    wt: 1:   3 Two Chain Rule Method Exercises
  90.    wt: 1:   1 Chain Rule in Reverse Integration Method
  91.    wt: 1:   Chapter 23 Links To Trigonometry
  92.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  93.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  94.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

732 matches:

  1.    wt: 9:   8 Parallel Vectors
  2.    wt: 9:   21 sine and cosine Half Angle Formulas
  3.    wt: 9:   11 tangent function undefined when terminal side vertical
  4.    wt: 9:   5 sines and cosines for reference angle 60 degrees
  5.    wt: 9:   Unit Circle Development of Trigonometry
  6.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  7.    wt: 9:   8 Isoceles Triangles
  8.    wt: 9:   2 Correspondence between Triangles
  9.    wt: 9:   8 More Use of Maps Not Drawn to Scale
  10.    wt: 9:   4 Angles on Maps Plans drawn to scale
  11.    wt: 9:   3 Lengths and Areas on Maps and Plans
  12.    wt: 8:   2 Signed Coordinates
  13.    wt: 8:   17 tangent function angle sum formulas
  14.    wt: 8:   35 sines and cosines of 2A 3A 4A 5A
  15.    wt: 8:   34 sines and cosines of 2A 3A 4A 5A
  16.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  17.    wt: 8:   32 seven rows of pascals triangle
  18.    wt: 8:   31 basic secant cosecant cotangent trig identities
  19.    wt: 8:   30 unit circle calculation of six trigonometric functions
  20.    wt: 8:   29 secant cosecant and cotangent for acute angles
  21.    wt: 8:   28 Expressing products of sines cosines as sums
  22.    wt: 8:   27 Logarithmic use of products of sines and cosines
  23.    wt: 8:   26 Formulas for products of sines and cosines
  24.    wt: 8:   25 tangent double angle formula Slope connection
  25.    wt: 8:   24 tangent Angle Difference Formula
  26.    wt: 8:   23 sine and cosine of 180 plus 22.5 degrees
  27.    wt: 8:   22 sine of 22.5 degrees via half angle formulas
  28.    wt: 8:   20 sine and cosine Double Angle Formulas
  29.    wt: 8:   19 Pythagorean Identity For sine and cosine functions
  30.    wt: 8:   18 sum of sinusoidal waves as a single wave
  31.    wt: 8:   17G Pythagorean Theorem Converse
  32.    wt: 8:   17F Law of cosines
  33.    wt: 8:   17E Trig Formulas for dot and cross Products
  34.    wt: 8:   17D cis formulas for sine cosines and tangent
  35.    wt: 8:   17C sine and cosine double triple angle formulas
  36.    wt: 8:   17B sine cosine Angle Sum Formulas via cis
  37.    wt: 8:   17A The complex number valued trig function cis
  38.    wt: 8:   16 Right Triangle Complementary Angle Relations
  39.    wt: 8:   15 sine cosine Complementary Angle Relations
  40.    wt: 8:   14 cosine even and sine and tangent are odd
  41.    wt: 8:   13 Graph of tangent function many periods
  42.    wt: 8:   12 Graph of tangent function for one period
  43.    wt: 8:   10 Graphs of sines and cosines many periods
  44.    wt: 8:   9 Graphs of sine and cosine over one period
  45.    wt: 8:   8 period of tangent function
  46.    wt: 8:   7 period of sine and cosine
  47.    wt: 8:   6 sines and cosines for reference angle 30 degrees
  48.    wt: 8:   4 sines and cosines for reference angle 45 degrees
  49.    wt: 8:   3 sines and cosines for reference angle 90 degrees
  50.    wt: 8:   2 Quadrant I reference Angles
  51.    wt: 8:   1 Unit Points Reflections Rotations
  52.    wt: 8:   8 Unit Circle Development of Trigonometry
  53.    wt: 8:   8 Triangles Cascade Problem Solving
  54.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  55.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  56.    wt: 8:   PS F Scalar Multiplication Distributes over Addition
  57.    wt: 8:   PS E Multiplication with Polar Coordinates
  58.    wt: 8:   PS C Similarity Use Recognize it in Trigonometry
  59.    wt: 8:   PS B Parallelogram Construction Methods
  60.    wt: 8:   PS A Kite Construction Methods
  61.    wt: 8:   21 Parallelograms
  62.    wt: 8:   6 Figuring with Maps Not to Scale
  63.    wt: 8:   2 Measuring Area Directly
  64.    wt: 7:   14 Why Scalar Multiplication Distributes Physical Argument
  65.    wt: 7:   13 Velocity Vectors in Physics
  66.    wt: 7:   11 Component Method
  67.    wt: 7:   10 Parallelogram Addition Method
  68.    wt: 7:   7 Coordinate Addition and Scalar Multiplication
  69.    wt: 7:   6 Vectors with Coordinates
  70.    wt: 7:   3 Navigation with Arrows or Vectors
  71.    wt: 7:   2 Straight Lines Slopes As Rise Over Run
  72.    wt: 7:   2 Complex Numbers made easier we hope
  73.    wt: 7:   7 Trignometric Ratios Unit Circle
  74.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  75.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  76.    wt: 7:   3 Trigonometric Ratios sine and cosine
  77.    wt: 7:   Why Trigonometry the whyslopes view
  78.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  79.    wt: 7:   2 Similarity By Design
  80.    wt: 7:   8 Mid Point Formula
  81.    wt: 7:   2 point slope equation for a line
  82.    wt: 7:   8 Distance Between Points on a Line
  83.    wt: 7:   2 Cartesian Coordinates with signs
  84.    wt: 7:   Euclidean Geometry Elsewhere LINKS
  85.    wt: 7:   PS H Distributive Law For Complex Numbers
  86.    wt: 7:   PS G Rotation Distributes over Addition
  87.    wt: 7:   PS D Addition with Cartesian Coordinates
  88.    wt: 7:   19 Right Triangle Similarity
  89.    wt: 7:   18 Triangle Similarity Take 1
  90.    wt: 7:   17 Right Bisectors of Triangle Sides
  91.    wt: 7:   16 Angles Subtended By Chords and Diameters
  92.    wt: 7:   15 Triangle Angle Sum is 180 degrees
  93.    wt: 7:   14 Parallel Lines Postulate
  94.    wt: 7:   13 Angle Side Angle Failure
  95.    wt: 7:   12 Side Angle Side Failure
  96.    wt: 7:   11 Triangle Construction Fails
  97.    wt: 7:   10 Dropping a perpendicular to line
  98.    wt: 7:   9 Construction of a right bisector
  99.    wt: 7:   7 Angle Side Angle
  100.    wt: 7:   6 Ruler and compass Angle Bisection
  101.    wt: 7:   5 Side Angle Side
  102.    wt: 7:   4 Side Side Side
  103.    wt: 7:   3 Isometry of Triangles Congruence
  104.    wt: 7:   1 Initial Concepts and Terms
  105.    wt: 7:   Short Course on Euclidean Geometry
  106.    wt: 7:   A Measurement with Ruler Proper Use
  107.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  108.    wt: 7:   1 Length Measurement
  109.    wt: 6:   2 Column Multiplication Method
  110.    wt: 6:   16 cotangent function Definition Graph and Inverse
  111.    wt: 6:   15 cosecant function Definition Graph and Inverse
  112.    wt: 6:   14 secant function Definition Graph and Inverse
  113.    wt: 6:   13 cosecant function Definition Graph and Inverse
  114.    wt: 6:   12 motivation for term arctan
  115.    wt: 6:   11 arctan left inverse of tangent Graph
  116.    wt: 6:   10 arctan left inverse of tangent Definition
  117.    wt: 6:   9 Summary Degrees to Radians and back
  118.    wt: 6:   A Global Time and Navigation
  119.    wt: 6:   15 Dot and Cross Product
  120.    wt: 6:   12 From Applied To Pure Mathematics
  121.    wt: 6:   9 Head to Tail Coordinate View
  122.    wt: 6:   5 Head To Tail Arrow Addition
  123.    wt: 6:   4 Resultant of a Sum of Movements
  124.    wt: 6:   1 Unsigned Coordinates
  125.    wt: 6:   Vector and Complex Number Applet
  126.    wt: 6:   2 Graphing y=Af(x) Vertical Scaling
  127.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  128.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  129.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  130.    wt: 6:   C Straight Lines Slope from Coordinates
  131.    wt: 6:   B Straight Line Slope Scaling Properties More
  132.    wt: 6:   A Straight Line Slope Scaling Properties
  133.    wt: 6:   8 Straight Lines Equation for vertical
  134.    wt: 6:   7 Tangent Function is odd on this domain
  135.    wt: 6:   6 Tangent Function Inclination Angle Take 2
  136.    wt: 6:   5 Tangent Function Graph
  137.    wt: 6:   4 Tangent Function Properties
  138.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  139.    wt: 6:   21 Logarithms Powers and Exponentials
  140.    wt: 6:   20 N th Roots of Complex Numbers
  141.    wt: 6:   4 Multiplication Properties
  142.    wt: 6:   1 Angle Measurement with Degrees
  143.    wt: 6:   8 Similarity of Triangles and Polygons
  144.    wt: 6:   6 Polar Multiplication and Rotation
  145.    wt: 6:   8 Column Multiplication Methods in General
  146.    wt: 6:   D Decimal Multiplication Methods Derived
  147.    wt: 6:   A Elementary Basis for Multiplication Methods
  148.    wt: 6:   2 One Digit Multipliers
  149.    wt: 6:   8 Subtraction with Units of Measure
  150.    wt: 6:   2 Subtraction Easy Case Examples
  151.    wt: 5:   9 motivation for name arcsin
  152.    wt: 5:   8 arcsin left inverse of sine Graph
  153.    wt: 5:   7 arcsin left inverse of sine Definition
  154.    wt: 5:   6 Graph of arccos function
  155.    wt: 5:   5 Swapping Coordinates is a reflection
  156.    wt: 5:   4 possible motivation for term arccos
  157.    wt: 5:   3 Left Inverse of cosine arccos definition
  158.    wt: 5:   2 cosine function more properties
  159.    wt: 5:   1 cosine function properties
  160.    wt: 5:   8 Radian Measures of Common Angles
  161.    wt: 5:   7 Radian Measures in special Triangles
  162.    wt: 5:   6 Radian Measure to Degrees
  163.    wt: 5:   5 Degrees to Radian Measure
  164.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  165.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  166.    wt: 5:   2 Radian Measure Numerical Value of one degree
  167.    wt: 5:   1 Degrees and Radians Introduction
  168.    wt: 5:   4 graphing y=Asin(x c)
  169.    wt: 5:   3 graphing y=f(x c) plus K
  170.    wt: 5:   1 graphing y=f(x a)
  171.    wt: 5:   Parallel Lines and Parallel Transversals
  172.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  173.    wt: 5:   Triangle Angles Sum To 180 Degrees
  174.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  175.    wt: 5:   Parallel Lines and Interior Angles
  176.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  177.    wt: 5:   Straight Lines ASA Intersection Study More
  178.    wt: 5:   Straight Lines ASA Intersection Study
  179.    wt: 5:   Straight Lines Instersection Solving Equations
  180.    wt: 5:   Straight Lines Intersection of
  181.    wt: 5:   14 Straight Lines Equations General Case
  182.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  183.    wt: 5:   12 Straight Lines Graphing mx plus b
  184.    wt: 5:   11 Straight Lines Graphing y=mx
  185.    wt: 5:   10 Straight Lines through Origin Equations More
  186.    wt: 5:   9 Straight Lines through Origin Equations
  187.    wt: 5:   1 Straight Lines Slope Concept
  188.    wt: 5:   19 N th Roots of Unity
  189.    wt: 5:   18 Sixth Roots of Unity
  190.    wt: 5:   17 Cube Roots of unity
  191.    wt: 5:   16 References and Originality Question
  192.    wt: 5:   15 Pythagorean Theorem Converse
  193.    wt: 5:   14 Law of cosines
  194.    wt: 5:   13 Trig Formulas for dot and cross Products
  195.    wt: 5:   12 cis formulas for sine cosines and tangent
  196.    wt: 5:   11 sine and cosine double triple angle formulas
  197.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  198.    wt: 5:   9 The complex number valued trig function cis
  199.    wt: 5:   7 Second Way to Calculate Products
  200.    wt: 5:   6 Field Properties of Complex Number
  201.    wt: 5:   5 An Easy Proof of the Distributive Law
  202.    wt: 5:   3 Addition Properties
  203.    wt: 5:   1 Rectangular Polar Coordinates Review
  204.    wt: 5:   Appetizer A Complex Number Applet
  205.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  206.    wt: 5:   12 Triangles Similarity More Problems
  207.    wt: 5:   11 Triangle Similarity Missing Side Problem
  208.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  209.    wt: 5:   9 Similarity of Triangles Usual Criteria
  210.    wt: 5:   7 Translations Rotations Reflections Dilatations
  211.    wt: 5:   6 Geometric Diagrams in Class
  212.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  213.    wt: 5:   4 Similarity Definition with Coordinate
  214.    wt: 5:   3 Similarity by Design with coordinates
  215.    wt: 5:   1 Early Concept of Like or Similar Shapes
  216.    wt: 5:   Four Simple Exercises
  217.    wt: 5:   12 Links Lessons elsewhere
  218.    wt: 5:   11 A Partial Summary
  219.    wt: 5:   10 Midpoint of [a b] and [b a]
  220.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  221.    wt: 5:   7 Exercises to test skill and concept mastery
  222.    wt: 5:   6 Intersection of lines by solving linear systems
  223.    wt: 5:   5 Algebraic View of Slopes
  224.    wt: 5:   4 Equations for lines three forms
  225.    wt: 5:   3 Slope product for perpendicular lines
  226.    wt: 5:   1 Numerical view of lines and their equations
  227.    wt: 5:   What is and is not here
  228.    wt: 5:   13 Pythagorean spatial distance formulas
  229.    wt: 5:   12 Spatial Coordinates
  230.    wt: 5:   11 Triangle Inequality
  231.    wt: 5:   10 Pythagorean plane distance formula
  232.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  233.    wt: 5:   7 Complex Numbers Appetizer
  234.    wt: 5:   5 Cartesian Addition and Translation
  235.    wt: 5:   4 Polar Coordinates to and from
  236.    wt: 5:   3 Rectangular Coordinates Review
  237.    wt: 5:   1 Cartesian Coordinates sans signs
  238.    wt: 5:   About Folder Contents
  239.    wt: 5:   6 Column Methods for Decimal Multiplication
  240.    wt: 5:   8 Correcting the Mistake
  241.    wt: 5:   2 Division with Single Digit Divisors
  242.    wt: 5:   B Powers of Ten
  243.    wt: 5:   6 Multiplication Commutes Order Not Important
  244.    wt: 5:   5 Decimal Fraction Multiplication
  245.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  246.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  247.    wt: 5:   Appendix 2 Three Decimal Subtraction Methods
  248.    wt: 5:   Appendix 1 Decimals Comparison Method Take II
  249.    wt: 4:   21 Graphs of functions given by Horizontal Line Method
  250.    wt: 4:   8 Formulas for Fractional Exponents with Logarithms
  251.    wt: 4:   2 Square Root Simplification a prequel
  252.    wt: 4:   7 Decimals Multiplication Methods Examples
  253.    wt: 4:   2 Combing Counts Addition Skills and Principles
  254.    wt: 4:   2 Three Examples
  255.    wt: 4:   8 multiplying signed numbers
  256.    wt: 4:   3 signed coordinates for maps and planes
  257.    wt: 4:   2 signed and unsigned numbers as coordinates
  258.    wt: 4:   Long Division Backwards more
  259.    wt: 4:   Long Division Backward
  260.    wt: 4:   6 Why Decimal Long Division Methods Works Take I
  261.    wt: 4:   C Counting Areas with Powers of Ten
  262.    wt: 4:   4 Two and Three Digit Multipliers
  263.    wt: 4:   3 More One Digit Multipliers
  264.    wt: 4:   Video Power Notation in Decimal Expansion
  265.    wt: 4:   1 Why 3 times 5 gives 15
  266.    wt: 4:   Subtraction with J Conversions Example
  267.    wt: 4:   Subtraction Another Video Lesson
  268.    wt: 4:   9 22 Minute Subtraction Review Video
  269.    wt: 4:   7 Subtraction for Decimal Fractions with Exercises
  270.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  271.    wt: 4:   5 A Tip for Efficent Subtraction
  272.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  273.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  274.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  275.    wt: 4:   8 What skills and work habits to require
  276.    wt: 4:   2 Decimal Counting Practices
  277.    wt: 3:   2 Conductance Resistance Duality02
  278.    wt: 3:   26 Function definitions done and coming
  279.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  280.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  281.    wt: 3:   23 Inverse Functions
  282.    wt: 3:   22 Square Root function graphically
  283.    wt: 3:   20 Interchanging coordinates a reflection
  284.    wt: 3:   8 Set view of relations and functions
  285.    wt: 3:   2 Algebraic use of function notation
  286.    wt: 3:   8 Notes for instructors or tutors
  287.    wt: 3:   3 Polynomials Multiplication Addition
  288.    wt: 3:   22 Multiplication of Signed Numbers
  289.    wt: 3:   21 Addition of Multiples of a Single Vector
  290.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  291.    wt: 3:   19 Signed Multiples of Vectors
  292.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  293.    wt: 3:   13 Arrows and Vectors in a Plane
  294.    wt: 3:   2 Counting Digits in Decimal Multiplication
  295.    wt: 3:   E Long Division Methods more
  296.    wt: 3:   D Long Division Methods
  297.    wt: 3:   C Three Decimal Subtraction Methods
  298.    wt: 3:   A Decimal Addition Columm Methods
  299.    wt: 3:   2 Algebraic View
  300.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  301.    wt: 3:   2 Linear Equation Literal Solution
  302.    wt: 3:   2 Addition and Multiplication Axioms
  303.    wt: 3:   14 Real Number Multiplication
  304.    wt: 3:   8 Coordinates for Maps and Planes
  305.    wt: 3:   2 GE II Comparison
  306.    wt: 3:   2 Essentially one exercises three with solution
  307.    wt: 3:   8 One Example
  308.    wt: 3:   2 Three Examples
  309.    wt: 3:   8 Compound Interest Formula Evaluation
  310.    wt: 3:   2 Another Rectangle Area Formula Example
  311.    wt: 3:   8 Multiplication by Signed Numbers Integers
  312.    wt: 3:   Division with Counts and Length
  313.    wt: 3:   Long Division forwards and backwards Example 3
  314.    wt: 3:   Long Division forwards and backwards Example 2
  315.    wt: 3:   Long Division forwards and backwards Example 1
  316.    wt: 3:   12 Why Long Division Works Take III
  317.    wt: 3:   11 Another Single Digit Divisor Example
  318.    wt: 3:   10 Division by Five Long and Short Ways
  319.    wt: 3:   9 Why Long Division Works Take II
  320.    wt: 3:   7 Long Divison Mistake Catching
  321.    wt: 3:   5 Long Division Include Zeroes or not
  322.    wt: 3:   4 Division with 2 Digit Divsors
  323.    wt: 3:   3 Division Single Digit Divisor Example
  324.    wt: 3:   1 Divsion Physical Examples
  325.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  326.    wt: 3:   7 Adding decimal fractions using decimal point
  327.    wt: 3:   6. Counting and adding units and mixed units
  328.    wt: 3:   5. How to add decimals C. Examples
  329.    wt: 3:   4. How to add with decimals B with conversions
  330.    wt: 3:   3. How to add with decimals A sans conversions
  331.    wt: 3:   1. Explaining Addition Table
  332.    wt: 3:   29 Chain Rule Optional Reading
  333.    wt: 3:   28 Chain Rule Preparation for a Proof
  334.    wt: 3:   8 Differentiation of polynomials
  335.    wt: 2:   About site lesson plans
  336.    wt: 2:   Maps Plans Drawings
  337.    wt: 2:   3 Energy Power Heat08
  338.    wt: 2:   2 Energy Power Heat07
  339.    wt: 2:   B Energy Power02
  340.    wt: 2:   8 The Effect of Negative Remarks
  341.    wt: 2:   2 Reading and Writing Skills
  342.    wt: 2:   19 Horizontal line rule and method
  343.    wt: 2:   18 Vertical Line Rule and Method
  344.    wt: 2:   8 quadratics backward use of various formulas
  345.    wt: 2:   2 quadratics graphing in general
  346.    wt: 2:   11 Growth and Decay in Biology
  347.    wt: 2:   10 Exponential Growth and Decay Models
  348.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  349.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  350.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  351.    wt: 2:   5 Natural Logarithm Calculator Exercises
  352.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  353.    wt: 2:   1 Calculator Starter Exercises
  354.    wt: 2:   7 Links Lessons Elsewhere
  355.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  356.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  357.    wt: 2:   4 Polynomials Long division linear divisor
  358.    wt: 2:   1 Polynomials Distributive Law
  359.    wt: 2:   26 More Less Greater Than Comparison
  360.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  361.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  362.    wt: 2:   23 Distributive Law Two Derivations
  363.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  364.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  365.    wt: 2:   15 Head to Tails in place Addition Associative
  366.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  367.    wt: 2:   12 Real Numbers Line Signed Coordinates
  368.    wt: 2:   11 Signed Number Addition and Addition Properties
  369.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  370.    wt: 2:   8 Division and Mulplication of Compound Fractions
  371.    wt: 2:   3 Location of Point in Decimal Multiplication
  372.    wt: 2:   B Decimal Comparison and Subtraction
  373.    wt: 2:   5 Distributive Law for Whole Numbers
  374.    wt: 2:   4 Commutative Law Groups Counting Form
  375.    wt: 2:   3 Multiplicative Counting Skills Principles
  376.    wt: 2:   1 The Counting Origins of Numbers
  377.    wt: 2:   2 Fraction Operations Physical Development
  378.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  379.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  380.    wt: 2:   6 Compound Interest Forward and Backwards
  381.    wt: 2:   5 Triangle Area Formula Backwards
  382.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  383.    wt: 2:   3 Linear Equation Literal Solution More
  384.    wt: 2:   1 Changing Calculations
  385.    wt: 2:   2 More and Less Than for Counts and Measures
  386.    wt: 2:   16 Real Numbers Comparison
  387.    wt: 2:   15 Real Number Division
  388.    wt: 2:   13 Real Number Subtraction
  389.    wt: 2:   12 Real Number Additive Inverses or Negatives
  390.    wt: 2:   11 Real Number Addition
  391.    wt: 2:   10 Real Number Lengths and Signs
  392.    wt: 2:   2 Integers
  393.    wt: 2:   2 Computation Rules Evaluation
  394.    wt: 2:   3 GE III Equation Addition and Multiplication
  395.    wt: 2:   6 Algebraic Solution Example
  396.    wt: 2:   5 Algebraic Solutions Introduction
  397.    wt: 2:   4 Four Examples Fractional Coefficients
  398.    wt: 2:   3 Four Examples
  399.    wt: 2:   1 Proper Equal Sign Usage
  400.    wt: 2:   13 Naming Identifying Formulas with Words
  401.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  402.    wt: 2:   11 Volume of Sphere
  403.    wt: 2:   10 Volume of Pyramid
  404.    wt: 2:   9 Volume of Cone
  405.    wt: 2:   7 Compound Interest Formula Introduction
  406.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  407.    wt: 2:   5 Box Volume Formula Example
  408.    wt: 2:   4 Circle Area Formula Example
  409.    wt: 2:   3 Triangle Area Formula Example
  410.    wt: 2:   1 Written work formats for developing and showing skill
  411.    wt: 2:   8 Sets of Numbers
  412.    wt: 2:   2 Venn Diagrams
  413.    wt: 2:   2 What is a Variable
  414.    wt: 2:   2 More and Less Than with Unlike Signs
  415.    wt: 2:   11 What are real lengths and numbers
  416.    wt: 2:   10 dividing signed numbers
  417.    wt: 2:   9 subtracting signed numbers
  418.    wt: 2:   7 negative and additive inverse
  419.    wt: 2:   6 adding signed numbers
  420.    wt: 2:   5 lengths and signs of numbers
  421.    wt: 2:   4 signed coordinates for regions in space
  422.    wt: 2:   2 Unit Fraction Multiplication
  423.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  424.    wt: 2:   8 video Prime Factorization upto 19
  425.    wt: 2:   2 Prime and Composites less than 16
  426.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  427.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  428.    wt: 2:   1 Chain Rule in Reverse Integration Method
  429.    wt: 2:   34 Derivative of exponential function
  430.    wt: 2:   33 Chain Rule Real Player video examples
  431.    wt: 2:   31 Derivatives of inverse functions
  432.    wt: 2:   30Chain Rule A Proof
  433.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  434.    wt: 2:   26 Chain Rule Recognising outer inner functions
  435.    wt: 2:   23 Chain Rule in general
  436.    wt: 2:   22 Chain Rule for polynomials
  437.    wt: 2:   21 Chain Rule for powers
  438.    wt: 2:   11 Quotient rule
  439.    wt: 2:   10 Power rule for negative integers
  440.    wt: 2:   9 Reciprocal rule
  441.    wt: 2:   7 Animated Differentiation Examples
  442.    wt: 2:   6 Power rule from product rule
  443.    wt: 2:   5 Product Rule
  444.    wt: 2:   4 Sum Rule
  445.    wt: 2:   2 Motivation for Limit Definition Take 1
  446.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  447.    wt: 2:   8 Four Animated Examples
  448.    wt: 2:   2 Algebraic codification
  449.    wt: 2:   E2 Algebraic Properties of Limits
  450.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  451.    wt: 2:   Chapter 8 Modern Instruction
  452.    wt: 2:   Chapter 2 For and Against Mathematics
  453.    wt: 2:   Chapter 8 Change of Language
  454.    wt: 2:   Chapter 2 Skill Development
  455.    wt: 2:   Three Remarks
  456.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  457.    wt: 1:   8 analytic geometry etc
  458.    wt: 1:   2 arithmetic with signed numbers
  459.    wt: 1:   why bother
  460.    wt: 1:   Applied Maths Program14092009 POMME variant
  461.    wt: 1:   talk the algebra talk
  462.    wt: 1:   Lessening Algebra Difficulties
  463.    wt: 1:   the trouble with algebra
  464.    wt: 1:   three goals for Mathematics Education
  465.    wt: 1:   02 21 words for teachers
  466.    wt: 1:   02 20 mathematics education references
  467.    wt: 1:   three kinds of reason in mathematics
  468.    wt: 1:   Prequel In For A Penny In For A Pound
  469.    wt: 1:   education an empirical art
  470.    wt: 1:   fairness and inductive principles for instruction
  471.    wt: 1:   chapitre 04 08 Limitations et benefices
  472.    wt: 1:   chapitre 04 02 Deuxieme enigme
  473.    wt: 1:   chapitre 02 00 La Communication des idees
  474.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  475.    wt: 1:   Trois Notions qui menent a algebre
  476.    wt: 1:   4 Energy Power Heat09
  477.    wt: 1:   1 Energy Power Heat06
  478.    wt: 1:   E Energy Power05
  479.    wt: 1:   D Energy Power04
  480.    wt: 1:   C Energy Power03
  481.    wt: 1:   A Energy Power01
  482.    wt: 1:   D Wire Resistance Calculation02
  483.    wt: 1:   B Wire Resistance Qualitative02
  484.    wt: 1:   H Series Circuit02
  485.    wt: 1:   G Series Circuit01
  486.    wt: 1:   C Electromotive force conventional current02
  487.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  488.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  489.    wt: 1:   24 Standards For Skill Develoment Take II
  490.    wt: 1:   24 Standards For Skill Develoment
  491.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  492.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  493.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  494.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  495.    wt: 1:   22 Student Centered Highschool Mathematics
  496.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  497.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  498.    wt: 1:   14 Multiplication and Times Tables
  499.    wt: 1:   Ages 8 to 9
  500.    wt: 1:   sign monoticity analysis example 4
  501.    wt: 1:   sign monoticity analysis example 3
  502.    wt: 1:   sign monoticity analysis example 2
  503.    wt: 1:   sign monoticity analysis example 1
  504.    wt: 1:   17 Function maxima minima and their location
  505.    wt: 1:   16 Increasing or decreasing on intervals
  506.    wt: 1:   15 Sign analysis of functions
  507.    wt: 1:   14 Surjections Injections Bijections
  508.    wt: 1:   13 From one to one to many to one
  509.    wt: 1:   12 Function Domain Recognition Exercises
  510.    wt: 1:   11 Function Domain Range Source and Targets
  511.    wt: 1:   10 Interval Notation
  512.    wt: 1:   9 Set theory term relation possible origins
  513.    wt: 1:   7 Functions with finite domains
  514.    wt: 1:   6 Set Existence Formation and Notation
  515.    wt: 1:   5 Function notation for geometric transformations
  516.    wt: 1:   4 Function notation in and beyond mathematics
  517.    wt: 1:   3 Formula or function graphing exercise
  518.    wt: 1:   1 Geometric Introduction of Function Notation
  519.    wt: 1:   Introduction Reading Guide
  520.    wt: 1:   A Quadratics Summary
  521.    wt: 1:   10 quadratic exercises
  522.    wt: 1:   9 quadratics physical and further context
  523.    wt: 1:   7 quadratic formulla derivation
  524.    wt: 1:   6 quadratics numerical approach
  525.    wt: 1:   5 quadratics completing the square
  526.    wt: 1:   4 quadratics difference of two squares
  527.    wt: 1:   3 quadratics factoring by inspection
  528.    wt: 1:   1 quadratics graphing exercises
  529.    wt: 1:   Quadratics in 10 steps
  530.    wt: 1:   Rewriting algebraic substitution as function substitutions
  531.    wt: 1:   musings do not puiblish real numbers
  532.    wt: 1:   A Modular and Remainder Arithmetic
  533.    wt: 1:   A Signed Number Arithmetic Review
  534.    wt: 1:   9 Division with Digits after Decimal Point
  535.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  536.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  537.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  538.    wt: 1:   4 Location of Point in Decimal Addition
  539.    wt: 1:   1 Fractions with Finite Decimal Expansions
  540.    wt: 1:   5 Areas of Rectangles Revisited
  541.    wt: 1:   4 Fraction Operations Axiomatic Development
  542.    wt: 1:   3 Inequalities Algebraically
  543.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  544.    wt: 1:   5 Proportionality in Equivalent Fractions
  545.    wt: 1:   4 Rates Ratios and Proporitionality
  546.    wt: 1:   3 Proportionality Examples
  547.    wt: 1:   1 What is Proportionality
  548.    wt: 1:   6 Equations and Systems Equivalent or Implied
  549.    wt: 1:   5 Equality in Algebra
  550.    wt: 1:   4 Subtraction and Division Axioms
  551.    wt: 1:   3 Product Axioms Two Forms
  552.    wt: 1:   1 Equivalent Computation Rules
  553.    wt: 1:   5 Greater More Less Than Signs in General
  554.    wt: 1:   4 Comparison of Negative Numbers
  555.    wt: 1:   3 More and Less Than with Unlike Signs
  556.    wt: 1:   1 Real Numbers Comparison
  557.    wt: 1:   9 Coordinates for Regions in Space
  558.    wt: 1:   7 Real Numbers as Line Cordinates
  559.    wt: 1:   6 Unsigned Real Numbers
  560.    wt: 1:   5 Rational Numbers More
  561.    wt: 1:   4 Rational Numbers
  562.    wt: 1:   3 Fractions
  563.    wt: 1:   1 Whole and Natural Numbers
  564.    wt: 1:   5 Independent versus Dependent Variables
  565.    wt: 1:   4 Changing Letters
  566.    wt: 1:   3 Geometric Formulas and Function Notation
  567.    wt: 1:   1 Formulas Dependence and Function Notation
  568.    wt: 1:   More Exercises
  569.    wt: 1:   Simple Exercises
  570.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  571.    wt: 1:   4 GE III Animated Examples
  572.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  573.    wt: 1:   1 GE Substitution four examples
  574.    wt: 1:   4 Solving a triangular system exercise
  575.    wt: 1:   3 Solving triangular system example
  576.    wt: 1:   1 Essentially One Unknown
  577.    wt: 1:   Skill Development Notes
  578.    wt: 1:   10 One Example
  579.    wt: 1:   9 Three Examples
  580.    wt: 1:   7 Two Examples
  581.    wt: 1:   6 Three Examples
  582.    wt: 1:   5 Three Examples
  583.    wt: 1:   4 Two Examples
  584.    wt: 1:   3 Two Examples
  585.    wt: 1:   Using Letters for Physical Quantities
  586.    wt: 1:   Formula Usage Show Work Format
  587.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  588.    wt: 1:   9 Sets in Probability and Statistics
  589.    wt: 1:   7 Cautious or Safe Set Construction
  590.    wt: 1:   6 Power Set Notation
  591.    wt: 1:   5 Product Builder Notation
  592.    wt: 1:   4 Subset Builder Notation
  593.    wt: 1:   3 Counting with Sets etc
  594.    wt: 1:   1 Finite Sets
  595.    wt: 1:   6 Three Notions of What is a Variable
  596.    wt: 1:   5 Talking about Numbers and Quantities
  597.    wt: 1:   4 A Brief Story of numbers and algebra
  598.    wt: 1:   3 Adding Words To Arithmetic
  599.    wt: 1:   1 Three Skills For Algebra
  600.    wt: 1:   About Folder Contents
  601.    wt: 1:   8 GCD from Euclidean Algorithm
  602.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  603.    wt: 1:   2 Least Common Multiple LCM intro via list method
  604.    wt: 1:   1 Least Common Multiples LCM Introduction
  605.    wt: 1:   1 Counting and Counting Methods I
  606.    wt: 1:   14 Adding and Subtracting with Like Denominators
  607.    wt: 1:   6 Multiplication of Mixed Numbers
  608.    wt: 1:   6 Multiplication Algebraically Take II
  609.    wt: 1:   4 Fraction Multiplication
  610.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  611.    wt: 1:   10 Integer Multiplication Formulas
  612.    wt: 1:   7 Multiplication by Signs
  613.    wt: 1:   6 Multiplication by Natural Numbers
  614.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  615.    wt: 1:   26 Divisibility by 2 3 5 Example
  616.    wt: 1:   5 Remainder Arithmetic Modulo 5
  617.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  618.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  619.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  620.    wt: 1:   1 Remainder Arithmetic Modulo 10
  621.    wt: 1:   20 Uniqueness of Prime Factorization
  622.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  623.    wt: 1:   The 20 Times Table
  624.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  625.    wt: 1:   8 Addition of Time Intervals via subtotaling
  626.    wt: 1:   2 Time and Date Matters in School
  627.    wt: 1:   A Related Material in Volume 3
  628.    wt: 1:   3 Two Chain Rule Method Exercises
  629.    wt: 1:   2 Indefinite Integrals Exercises
  630.    wt: 1:   2 Second derivative test prequel
  631.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  632.    wt: 1:   A Chain Rule Real Player video examples
  633.    wt: 1:   38 Formulas and derivatives for powers and roots
  634.    wt: 1:   36 Cube root derivative animated
  635.    wt: 1:   25 Chain Rule Animated Examples Continued
  636.    wt: 1:   24 Chain Rule Animated Examples
  637.    wt: 1:   20 Chain Rule for Pulley Systems
  638.    wt: 1:   19 Chain Rule for linear functions
  639.    wt: 1:   18 Chain Rule Introduction
  640.    wt: 1:   17 Derivatives of quotients of sine and cosine
  641.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  642.    wt: 1:   15 sine and cosine derivatives 3rd step
  643.    wt: 1:   14 sine and cosine derivatives 2nd step
  644.    wt: 1:   13 sine and cosine derivatives 1st step
  645.    wt: 1:   12 Quotient rule examples
  646.    wt: 1:   3 Motivation for Limit Definition Take 2
  647.    wt: 1:   3 Decimal insights for limits continuity convergence
  648.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  649.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  650.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  651.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  652.    wt: 1:   G.5 Motions With Bounded Velocities
  653.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  654.    wt: 1:   G.3 Constant Difference Theorem Proof
  655.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  656.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  657.    wt: 1:   F.5b Extreme Value Theorem
  658.    wt: 1:   F.5a Equicontinuity Theorems
  659.    wt: 1:   F.4 Finite Covering Theorem
  660.    wt: 1:   F.3 Intermediate Value Theorem
  661.    wt: 1:   F.2 Closed Range Theorem
  662.    wt: 1:   F.1 What Functions are Continuous
  663.    wt: 1:   E1 Error Control Inequalities
  664.    wt: 1:   D2 Limits of Monotone Sequences
  665.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  666.    wt: 1:   C Triangle Inequalities
  667.    wt: 1:   B3 Bolzano Weierstrass Theorem
  668.    wt: 1:   PostScript For and Against Decimal Perspectives
  669.    wt: 1:   A1. Introduction
  670.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  671.    wt: 1:   Chapter 23 Links To Trigonometry
  672.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  673.    wt: 1:   Chapter 8. Slope Interpretation
  674.    wt: 1:   Chapter 2. Slopes and Ski Trails
  675.    wt: 1:   Fall 1983 Calculus Appetizer
  676.    wt: 1:   Chapter 8 Three Skills For Algebra
  677.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  678.    wt: 1:   Annotated Links to Material Elsehwere
  679.    wt: 1:   Postscript B Mathematics Education References
  680.    wt: 1:   Postscript A Three Remarks
  681.    wt: 1:   Chapter 12 Four Phases
  682.    wt: 1:   Chapter 11 Elementary Instruction
  683.    wt: 1:   Chapter 10 Transition
  684.    wt: 1:   Chapter 9 The Two Ends
  685.    wt: 1:   Chapter 7 Two Treatments of Geometry
  686.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  687.    wt: 1:   Chapter 5 Four References
  688.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  689.    wt: 1:   Chapter 3 Algebra Difficulties
  690.    wt: 1:   Chapter 1 Introduction
  691.    wt: 1:   Foreword
  692.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  693.    wt: 1:   Postscript C Consistency as a Tool for Reason
  694.    wt: 1:   Postscript B More on Story Telling and Reason
  695.    wt: 1:   Postscript A Story Telling
  696.    wt: 1:   Chapter 24 Direct and Indirect Reason
  697.    wt: 1:   Chapter 23 Truth Tables
  698.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  699.    wt: 1:   Chapter 21 Occurrence Tables
  700.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  701.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  702.    wt: 1:   Chapter 18 Sense and Knowledge
  703.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  704.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  705.    wt: 1:   Chapter 15 Objective Processes
  706.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  707.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  708.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  709.    wt: 1:   Chapter 11 Accidental Patterns
  710.    wt: 1:   Chapter 10 Responsibility
  711.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  712.    wt: 1:   Chapter 7 Longer Chains of Reason
  713.    wt: 1:   Chapter 6 Chains of Reason
  714.    wt: 1:   Chapter 5 Deception
  715.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  716.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  717.    wt: 1:   Chapter 1 Introduction
  718.    wt: 1:   Foreword
  719.    wt: 1:   H more Routine to non routine problem solving
  720.    wt: 1:   H Jigsaw puzzles and problem solving
  721.    wt: 1:   B. Domino effect of errors
  722.    wt: 1:   Chapter 8 Skipped Topics and Why
  723.    wt: 1:   Chapter 2 Why Sets
  724.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  725.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  726.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  727.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  728.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  729.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  730.    wt: 1:   Road Safety Questions
  731.    wt: 1:   The Math Forum and Site Content
  732.    wt: 1:   Site Reviews
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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