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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20 matches:

  1.    wt: 7:   1 Maps Plans Measurement/
  2.    wt: 6:   13 Vectors/
  3.    wt: 6:   8 Unit Circle Trigonometry/
  4.    wt: 6:   6 Trigonometry first steps/
  5.    wt: 6:   2 Euclidean Geometry Constructions Theory extras/
  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: 1:   A Origins of Counting and Figuring Methods/
  18.    wt: 1:   10 Examples of Algebraic Reasoning/
  19.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  20.    wt: 1:   Volume 1 Elements of Reason/

Web Page Search

219 matches:

  1.    wt: 4:   Chapter 7 Two Treatments of Geometry
  2.    wt: 3:   10 Similarity of Triangles Equivalent of Two Criteria
  3.    wt: 2:   Maps Plans Drawings
  4.    wt: 2:   4 quadratics difference of two squares
  5.    wt: 2:   4 Resultant of a Sum of Movements
  6.    wt: 2:   27 Logarithmic use of products of sines and cosines
  7.    wt: 2:   Unit Circle Development of Trigonometry
  8.    wt: 2:   8 Unit Circle Development of Trigonometry
  9.    wt: 2:   5 An Easy Proof of the Distributive Law
  10.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  11.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  12.    wt: 2:   4 Angles on Maps Plans drawn to scale
  13.    wt: 2:   3 Lengths and Areas on Maps and Plans
  14.    wt: 2:   21 Addition of Multiples of a Single Vector
  15.    wt: 2:   19 Signed Multiples of Vectors
  16.    wt: 2:   17 Derivatives of quotients of sine and cosine
  17.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  18.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  19.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  20.    wt: 1:   Skills Chapter 2 Geometry
  21.    wt: 1:   8 analytic geometry etc
  22.    wt: 1:   3 Euclidean Geometry Leanly
  23.    wt: 1:   About site lesson plans
  24.    wt: 1:   Mathematics Education Professors
  25.    wt: 1:   Secondary Two Mathematics
  26.    wt: 1:   Theory of Knowledge
  27.    wt: 1:   Different Kinds of Reasoning in maths
  28.    wt: 1:   three kinds of reason in mathematics
  29.    wt: 1:   E Kirchoffs Second Law
  30.    wt: 1:   D Kirchoff First Law
  31.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  32.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  33.    wt: 1:   8 The Effect of Negative Remarks
  34.    wt: 1:   Ages 12 to 14 Geometry
  35.    wt: 1:   Ages 10 to 12 Geometry
  36.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  37.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  38.    wt: 1:   15 Sign analysis of functions
  39.    wt: 1:   8 Set view of relations and functions
  40.    wt: 1:   2 Algebraic use of function notation
  41.    wt: 1:   1 Geometric Introduction of Function Notation
  42.    wt: 1:   8 quadratics backward use of various formulas
  43.    wt: 1:   11 arctan left inverse of tangent Graph
  44.    wt: 1:   10 arctan left inverse of tangent Definition
  45.    wt: 1:   8 arcsin left inverse of sine Graph
  46.    wt: 1:   7 arcsin left inverse of sine Definition
  47.    wt: 1:   6 Graph of arccos function
  48.    wt: 1:   3 Left Inverse of cosine arccos definition
  49.    wt: 1:   8 Radian Measures of Common Angles
  50.    wt: 1:   2 Radian Measure Numerical Value of one degree
  51.    wt: 1:   13 Velocity Vectors in Physics
  52.    wt: 1:   8 Parallel Vectors
  53.    wt: 1:   6 Vectors with Coordinates
  54.    wt: 1:   3 Navigation with Arrows or Vectors
  55.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  56.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  57.    wt: 1:   Straight Lines Intersection of
  58.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  59.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  60.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  61.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  62.    wt: 1:   32 seven rows of pascals triangle
  63.    wt: 1:   30 unit circle calculation of six trigonometric functions
  64.    wt: 1:   28 Expressing products of sines cosines as sums
  65.    wt: 1:   26 Formulas for products of sines and cosines
  66.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  67.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  68.    wt: 1:   18 sum of sinusoidal waves as a single wave
  69.    wt: 1:   17F Law of cosines
  70.    wt: 1:   13 Graph of tangent function many periods
  71.    wt: 1:   12 Graph of tangent function for one period
  72.    wt: 1:   10 Graphs of sines and cosines many periods
  73.    wt: 1:   9 Graphs of sine and cosine over one period
  74.    wt: 1:   8 period of tangent function
  75.    wt: 1:   7 period of sine and cosine
  76.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  77.    wt: 1:   20 N th Roots of Complex Numbers
  78.    wt: 1:   19 N th Roots of Unity
  79.    wt: 1:   18 Sixth Roots of Unity
  80.    wt: 1:   17 Cube Roots of unity
  81.    wt: 1:   14 Law of cosines
  82.    wt: 1:   6 Field Properties of Complex Number
  83.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  84.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  85.    wt: 1:   Why Trigonometry the whyslopes view
  86.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  87.    wt: 1:   9 Similarity of Triangles Usual Criteria
  88.    wt: 1:   8 Similarity of Triangles and Polygons
  89.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  90.    wt: 1:   1 Early Concept of Like or Similar Shapes
  91.    wt: 1:   10 Midpoint of [a b] and [b a]
  92.    wt: 1:   6 Intersection of lines by solving linear systems
  93.    wt: 1:   5 Algebraic View of Slopes
  94.    wt: 1:   1 Numerical view of lines and their equations
  95.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  96.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  97.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  98.    wt: 1:   17 Right Bisectors of Triangle Sides
  99.    wt: 1:   9 Construction of a right bisector
  100.    wt: 1:   3 Isometry of Triangles Congruence
  101.    wt: 1:   Short Course on Euclidean Geometry
  102.    wt: 1:   6 Figuring with Maps Not to Scale
  103.    wt: 1:   23 Distributive Law Two Derivations
  104.    wt: 1:   22 Multiplication of Signed Numbers
  105.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  106.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  107.    wt: 1:   13 Arrows and Vectors in a Plane
  108.    wt: 1:   8 Division and Mulplication of Compound Fractions
  109.    wt: 1:   4 Location of Point in Decimal Addition
  110.    wt: 1:   3 Location of Point in Decimal Multiplication
  111.    wt: 1:   1 The Counting Origins of Numbers
  112.    wt: 1:   5 Areas of Rectangles Revisited
  113.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  114.    wt: 1:   3 Product Axioms Two Forms
  115.    wt: 1:   4 Comparison of Negative Numbers
  116.    wt: 1:   8 Coordinates for Maps and Planes
  117.    wt: 1:   7 Two Examples
  118.    wt: 1:   4 Two Examples
  119.    wt: 1:   3 Two Examples
  120.    wt: 1:   11 Volume of Sphere
  121.    wt: 1:   10 Volume of Pyramid
  122.    wt: 1:   9 Volume of Cone
  123.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  124.    wt: 1:   8 Sets of Numbers
  125.    wt: 1:   6 Three Notions of What is a Variable
  126.    wt: 1:   4 A Brief Story of numbers and algebra
  127.    wt: 1:   3 Comparison of Negative Numbers
  128.    wt: 1:   3 Properties of Square Roots with example
  129.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  130.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  131.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  132.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  133.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  134.    wt: 1:   4 LCM of 8 and 10 via Prime
  135.    wt: 1:   5 lengths and signs of numbers
  136.    wt: 1:   3 signed coordinates for maps and planes
  137.    wt: 1:   6 Simplification of Fractions with Units
  138.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  139.    wt: 1:   B Fractions and Two Term Ratios
  140.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  141.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  142.    wt: 1:   6 Multiplication of Mixed Numbers
  143.    wt: 1:   3 Unit fraction of a fraction
  144.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  145.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  146.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  147.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  148.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  149.    wt: 1:   20 Uniqueness of Prime Factorization
  150.    wt: 1:   16 video Factors of 980 using prime
  151.    wt: 1:   15 video Factors of 20 using Prime Factorization
  152.    wt: 1:   14 video Factors of 24 Take II
  153.    wt: 1:   13 video Factors of 24 using prime
  154.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  155.    wt: 1:   C Counting Areas with Powers of Ten
  156.    wt: 1:   B Powers of Ten
  157.    wt: 1:   4 Two and Three Digit Multipliers
  158.    wt: 1:   8 Subtraction with Units of Measure
  159.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  160.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  161.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  162.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  163.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  164.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  165.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  166.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  167.    wt: 1:   Quick history of numbers and algebra
  168.    wt: 1:   012 Division of Time Intervals by Time Intervals
  169.    wt: 1:   011 Division of Time Intervals By Numbers
  170.    wt: 1:   010 Repeated Addition of Time Intervals
  171.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  172.    wt: 1:   8 Addition of Time Intervals via subtotaling
  173.    wt: 1:   7 Addition of Time Intervals
  174.    wt: 1:   4 Mixing and Changing Units of Time
  175.    wt: 1:   3 Units and Lengths of Time
  176.    wt: 1:   1 Intro of Kids To Time Date Skills
  177.    wt: 1:   Example 2 volume of a cone
  178.    wt: 1:   Example 1 volume of a pyramid
  179.    wt: 1:   Volume of Solid by Cross Sections Lesson
  180.    wt: 1:   Example 4 with x function of y
  181.    wt: 1:   3 Two Chain Rule Method Exercises
  182.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  183.    wt: 1:   34 Derivative of exponential function
  184.    wt: 1:   31 Derivatives of inverse functions
  185.    wt: 1:   30Chain Rule A Proof
  186.    wt: 1:   28 Chain Rule Preparation for a Proof
  187.    wt: 1:   8 Differentiation of polynomials
  188.    wt: 1:   5 Jumps and absence of unlimited error control
  189.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  190.    wt: 1:   G.3 Constant Difference Theorem Proof
  191.    wt: 1:   E2 Algebraic Properties of Limits
  192.    wt: 1:   D2 Limits of Monotone Sequences
  193.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  194.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  195.    wt: 1:   Chapter 23 Links To Trigonometry
  196.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  197.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  198.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  199.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  200.    wt: 1:   Chapter 6 Change of Language
  201.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  202.    wt: 1:   Chapter 4 Longer Chains of Reason
  203.    wt: 1:   Chapter 3 Chains of Reason
  204.    wt: 1:   Chapter 9 The Two Ends
  205.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  206.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  207.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  208.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  209.    wt: 1:   Chapter 8 Change of Language
  210.    wt: 1:   Chapter 7 Longer Chains of Reason
  211.    wt: 1:   Chapter 6 Chains of Reason
  212.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  213.    wt: 1:   C. Domino effect of being careful
  214.    wt: 1:   B. Domino effect of errors
  215.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  216.    wt: 1:   Chapter 6 More Algebra and Geometry
  217.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  218.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  219.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions

Extended Search

927 matches:

  1.    wt: 9:   4 Resultant of a Sum of Movements
  2.    wt: 9:   27 Logarithmic use of products of sines and cosines
  3.    wt: 9:   Unit Circle Development of Trigonometry
  4.    wt: 9:   6 Trigonometry Sines of Supplementary Angles
  5.    wt: 9:   10 Similarity of Triangles Equivalent of Two Criteria
  6.    wt: 9:   6 Figuring with Maps Not to Scale
  7.    wt: 8:   13 Velocity Vectors in Physics
  8.    wt: 8:   6 Vectors with Coordinates
  9.    wt: 8:   3 Navigation with Arrows or Vectors
  10.    wt: 8:   35 sines and cosines of 2A 3A 4A 5A
  11.    wt: 8:   34 sines and cosines of 2A 3A 4A 5A
  12.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  13.    wt: 8:   32 seven rows of pascals triangle
  14.    wt: 8:   30 unit circle calculation of six trigonometric functions
  15.    wt: 8:   28 Expressing products of sines cosines as sums
  16.    wt: 8:   26 Formulas for products of sines and cosines
  17.    wt: 8:   23 sine and cosine of 180 plus 22.5 degrees
  18.    wt: 8:   22 sine of 22.5 degrees via half angle formulas
  19.    wt: 8:   18 sum of sinusoidal waves as a single wave
  20.    wt: 8:   13 Graph of tangent function many periods
  21.    wt: 8:   12 Graph of tangent function for one period
  22.    wt: 8:   10 Graphs of sines and cosines many periods
  23.    wt: 8:   9 Graphs of sine and cosine over one period
  24.    wt: 8:   8 period of tangent function
  25.    wt: 8:   7 period of sine and cosine
  26.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  27.    wt: 8:   8 Unit Circle Development of Trigonometry
  28.    wt: 8:   4 Trigonometric Ratios For Two Special Triangles
  29.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  30.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  31.    wt: 8:   Euclidean Geometry Elsewhere LINKS
  32.    wt: 8:   PS C Similarity Use Recognize it in Trigonometry
  33.    wt: 8:   17 Right Bisectors of Triangle Sides
  34.    wt: 8:   9 Construction of a right bisector
  35.    wt: 8:   3 Isometry of Triangles Congruence
  36.    wt: 8:   Short Course on Euclidean Geometry
  37.    wt: 8:   A Measurement with Ruler Proper Use
  38.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  39.    wt: 8:   2 Measuring Area Directly
  40.    wt: 8:   1 Length Measurement
  41.    wt: 7:   11 arctan left inverse of tangent Graph
  42.    wt: 7:   10 arctan left inverse of tangent Definition
  43.    wt: 7:   8 arcsin left inverse of sine Graph
  44.    wt: 7:   7 arcsin left inverse of sine Definition
  45.    wt: 7:   6 Graph of arccos function
  46.    wt: 7:   3 Left Inverse of cosine arccos definition
  47.    wt: 7:   8 Radian Measures of Common Angles
  48.    wt: 7:   A Global Time and Navigation
  49.    wt: 7:   15 Dot and Cross Product
  50.    wt: 7:   12 From Applied To Pure Mathematics
  51.    wt: 7:   11 Component Method
  52.    wt: 7:   10 Parallelogram Addition Method
  53.    wt: 7:   9 Head to Tail Coordinate View
  54.    wt: 7:   8 Parallel Vectors
  55.    wt: 7:   7 Coordinate Addition and Scalar Multiplication
  56.    wt: 7:   5 Head To Tail Arrow Addition
  57.    wt: 7:   2 Signed Coordinates
  58.    wt: 7:   1 Unsigned Coordinates
  59.    wt: 7:   Vector and Complex Number Applet
  60.    wt: 7:   Proportionality of Line Segments From Parallel Transversals
  61.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  62.    wt: 7:   Straight Lines Intersection of
  63.    wt: 7:   3 Straight Lines Slope as Tangent of Inclination Angle
  64.    wt: 7:   17 tangent function angle sum formulas
  65.    wt: 7:   31 basic secant cosecant cotangent trig identities
  66.    wt: 7:   29 secant cosecant and cotangent for acute angles
  67.    wt: 7:   25 tangent double angle formula Slope connection
  68.    wt: 7:   24 tangent Angle Difference Formula
  69.    wt: 7:   21 sine and cosine Half Angle Formulas
  70.    wt: 7:   20 sine and cosine Double Angle Formulas
  71.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  72.    wt: 7:   17F Law of cosines
  73.    wt: 7:   16 Right Triangle Complementary Angle Relations
  74.    wt: 7:   15 sine cosine Complementary Angle Relations
  75.    wt: 7:   14 cosine even and sine and tangent are odd
  76.    wt: 7:   11 tangent function undefined when terminal side vertical
  77.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  78.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  79.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  80.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  81.    wt: 7:   2 Quadrant I reference Angles
  82.    wt: 7:   1 Unit Points Reflections Rotations
  83.    wt: 7:   19 N th Roots of Unity
  84.    wt: 7:   18 Sixth Roots of Unity
  85.    wt: 7:   17 Cube Roots of unity
  86.    wt: 7:   6 Field Properties of Complex Number
  87.    wt: 7:   5 An Easy Proof of the Distributive Law
  88.    wt: 7:   8 Triangles Cascade Problem Solving
  89.    wt: 7:   7 Trignometric Ratios Unit Circle
  90.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  91.    wt: 7:   3 Trigonometric Ratios sine and cosine
  92.    wt: 7:   1 Angle Measurement with Degrees
  93.    wt: 7:   Why Trigonometry the whyslopes view
  94.    wt: 7:   9 Similarity of Triangles Usual Criteria
  95.    wt: 7:   8 Similarity of Triangles and Polygons
  96.    wt: 7:   5 Similarity of Circles Squares and Rectangles
  97.    wt: 7:   1 Early Concept of Like or Similar Shapes
  98.    wt: 7:   6 Intersection of lines by solving linear systems
  99.    wt: 7:   5 Algebraic View of Slopes
  100.    wt: 7:   1 Numerical view of lines and their equations
  101.    wt: 7:   9 Pythagorean Theorem Chinese Square Proof
  102.    wt: 7:   PS H Distributive Law For Complex Numbers
  103.    wt: 7:   PS G Rotation Distributes over Addition
  104.    wt: 7:   PS F Scalar Multiplication Distributes over Addition
  105.    wt: 7:   PS E Multiplication with Polar Coordinates
  106.    wt: 7:   PS D Addition with Cartesian Coordinates
  107.    wt: 7:   PS B Parallelogram Construction Methods
  108.    wt: 7:   PS A Kite Construction Methods
  109.    wt: 7:   21 Parallelograms
  110.    wt: 7:   19 Right Triangle Similarity
  111.    wt: 7:   18 Triangle Similarity Take 1
  112.    wt: 7:   16 Angles Subtended By Chords and Diameters
  113.    wt: 7:   15 Triangle Angle Sum is 180 degrees
  114.    wt: 7:   14 Parallel Lines Postulate
  115.    wt: 7:   13 Angle Side Angle Failure
  116.    wt: 7:   12 Side Angle Side Failure
  117.    wt: 7:   11 Triangle Construction Fails
  118.    wt: 7:   10 Dropping a perpendicular to line
  119.    wt: 7:   8 Isoceles Triangles
  120.    wt: 7:   7 Angle Side Angle
  121.    wt: 7:   6 Ruler and compass Angle Bisection
  122.    wt: 7:   5 Side Angle Side
  123.    wt: 7:   4 Side Side Side
  124.    wt: 7:   2 Correspondence between Triangles
  125.    wt: 7:   1 Initial Concepts and Terms
  126.    wt: 6:   16 cotangent function Definition Graph and Inverse
  127.    wt: 6:   15 cosecant function Definition Graph and Inverse
  128.    wt: 6:   14 secant function Definition Graph and Inverse
  129.    wt: 6:   13 cosecant function Definition Graph and Inverse
  130.    wt: 6:   12 motivation for term arctan
  131.    wt: 6:   9 motivation for name arcsin
  132.    wt: 6:   5 Swapping Coordinates is a reflection
  133.    wt: 6:   4 possible motivation for term arccos
  134.    wt: 6:   2 cosine function more properties
  135.    wt: 6:   1 cosine function properties
  136.    wt: 6:   9 Summary Degrees to Radians and back
  137.    wt: 6:   7 Radian Measures in special Triangles
  138.    wt: 6:   6 Radian Measure to Degrees
  139.    wt: 6:   5 Degrees to Radian Measure
  140.    wt: 6:   4 Circle Sector Area proportional to Central Angle
  141.    wt: 6:   3 Circle Arclengh Proportional to Central Angle
  142.    wt: 6:   2 Radian Measure Numerical Value of one degree
  143.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  144.    wt: 6:   4 graphing y=Asin(x c)
  145.    wt: 6:   3 graphing y=f(x c) plus K
  146.    wt: 6:   2 Graphing y=Af(x) Vertical Scaling
  147.    wt: 6:   1 graphing y=f(x a)
  148.    wt: 6:   Parallel Lines and Parallel Transversals
  149.    wt: 6:   Triangle Angles Sum To 180 Degrees
  150.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  151.    wt: 6:   Parallel Lines and Interior Angles
  152.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  153.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  154.    wt: 6:   Straight Lines ASA Intersection Study More
  155.    wt: 6:   Straight Lines ASA Intersection Study
  156.    wt: 6:   Straight Lines Instersection Solving Equations
  157.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  158.    wt: 6:   C Straight Lines Slope from Coordinates
  159.    wt: 6:   B Straight Line Slope Scaling Properties More
  160.    wt: 6:   A Straight Line Slope Scaling Properties
  161.    wt: 6:   14 Straight Lines Equations General Case
  162.    wt: 6:   13 Straight Lines Finding Equations from 2 points
  163.    wt: 6:   12 Straight Lines Graphing mx plus b
  164.    wt: 6:   11 Straight Lines Graphing y=mx
  165.    wt: 6:   10 Straight Lines through Origin Equations More
  166.    wt: 6:   9 Straight Lines through Origin Equations
  167.    wt: 6:   8 Straight Lines Equation for vertical
  168.    wt: 6:   7 Tangent Function is odd on this domain
  169.    wt: 6:   6 Tangent Function Inclination Angle Take 2
  170.    wt: 6:   5 Tangent Function Graph
  171.    wt: 6:   4 Tangent Function Properties
  172.    wt: 6:   2 Straight Lines Slopes As Rise Over Run
  173.    wt: 6:   1 Straight Lines Slope Concept
  174.    wt: 6:   17G Pythagorean Theorem Converse
  175.    wt: 6:   17E Trig Formulas for dot and cross Products
  176.    wt: 6:   17D cis formulas for sine cosines and tangent
  177.    wt: 6:   17C sine and cosine double triple angle formulas
  178.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  179.    wt: 6:   17A The complex number valued trig function cis
  180.    wt: 6:   20 N th Roots of Complex Numbers
  181.    wt: 6:   16 References and Originality Question
  182.    wt: 6:   14 Law of cosines
  183.    wt: 6:   4 Multiplication Properties
  184.    wt: 6:   3 Addition Properties
  185.    wt: 6:   1 Rectangular Polar Coordinates Review
  186.    wt: 6:   Appetizer A Complex Number Applet
  187.    wt: 6:   13 Navigation Location from Angles to 2 Landmarks
  188.    wt: 6:   12 Triangles Similarity More Problems
  189.    wt: 6:   11 Triangle Similarity Missing Side Problem
  190.    wt: 6:   7 Translations Rotations Reflections Dilatations
  191.    wt: 6:   6 Geometric Diagrams in Class
  192.    wt: 6:   4 Similarity Definition with Coordinate
  193.    wt: 6:   3 Similarity by Design with coordinates
  194.    wt: 6:   2 Similarity By Design
  195.    wt: 6:   Four Simple Exercises
  196.    wt: 6:   12 Links Lessons elsewhere
  197.    wt: 6:   10 Midpoint of [a b] and [b a]
  198.    wt: 6:   9 Midpoint Coordinates Half Endpoint Sum
  199.    wt: 6:   8 Mid Point Formula
  200.    wt: 6:   7 Exercises to test skill and concept mastery
  201.    wt: 6:   2 point slope equation for a line
  202.    wt: 6:   What is and is not here
  203.    wt: 6:   13 Pythagorean spatial distance formulas
  204.    wt: 6:   12 Spatial Coordinates
  205.    wt: 6:   11 Triangle Inequality
  206.    wt: 6:   10 Pythagorean plane distance formula
  207.    wt: 6:   7 Complex Numbers Appetizer
  208.    wt: 6:   6 Polar Multiplication and Rotation
  209.    wt: 6:   5 Cartesian Addition and Translation
  210.    wt: 6:   4 Polar Coordinates to and from
  211.    wt: 6:   3 Rectangular Coordinates Review
  212.    wt: 6:   2 Cartesian Coordinates with signs
  213.    wt: 6:   1 Cartesian Coordinates sans signs
  214.    wt: 6:   About Folder Contents
  215.    wt: 5:   1 Degrees and Radians Introduction
  216.    wt: 5:   21 Logarithms Powers and Exponentials
  217.    wt: 5:   15 Pythagorean Theorem Converse
  218.    wt: 5:   13 Trig Formulas for dot and cross Products
  219.    wt: 5:   12 cis formulas for sine cosines and tangent
  220.    wt: 5:   11 sine and cosine double triple angle formulas
  221.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  222.    wt: 5:   9 The complex number valued trig function cis
  223.    wt: 5:   7 Second Way to Calculate Products
  224.    wt: 5:   2 Complex Numbers made easier we hope
  225.    wt: 5:   11 A Partial Summary
  226.    wt: 5:   4 Equations for lines three forms
  227.    wt: 5:   3 Slope product for perpendicular lines
  228.    wt: 5:   8 Distance Between Points on a Line
  229.    wt: 5:   Chapter 7 Two Treatments of Geometry
  230.    wt: 3:   Maps Plans Drawings
  231.    wt: 3:   4 quadratics difference of two squares
  232.    wt: 3:   21 Addition of Multiples of a Single Vector
  233.    wt: 3:   19 Signed Multiples of Vectors
  234.    wt: 3:   1 The Counting Origins of Numbers
  235.    wt: 3:   3 Comparison of Negative Numbers
  236.    wt: 3:   17 Derivatives of quotients of sine and cosine
  237.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  238.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  239.    wt: 2:   Skills Chapter 2 Geometry
  240.    wt: 2:   8 analytic geometry etc
  241.    wt: 2:   3 Euclidean Geometry Leanly
  242.    wt: 2:   About site lesson plans
  243.    wt: 2:   Mathematics Education Professors
  244.    wt: 2:   Secondary Two Mathematics
  245.    wt: 2:   Theory of Knowledge
  246.    wt: 2:   Different Kinds of Reasoning in maths
  247.    wt: 2:   three kinds of reason in mathematics
  248.    wt: 2:   E Kirchoffs Second Law
  249.    wt: 2:   D Kirchoff First Law
  250.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  251.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  252.    wt: 2:   8 The Effect of Negative Remarks
  253.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  254.    wt: 2:   15 Sign analysis of functions
  255.    wt: 2:   8 Set view of relations and functions
  256.    wt: 2:   2 Algebraic use of function notation
  257.    wt: 2:   1 Geometric Introduction of Function Notation
  258.    wt: 2:   8 quadratics backward use of various formulas
  259.    wt: 2:   23 Distributive Law Two Derivations
  260.    wt: 2:   22 Multiplication of Signed Numbers
  261.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  262.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  263.    wt: 2:   13 Arrows and Vectors in a Plane
  264.    wt: 2:   8 Division and Mulplication of Compound Fractions
  265.    wt: 2:   4 Location of Point in Decimal Addition
  266.    wt: 2:   3 Location of Point in Decimal Multiplication
  267.    wt: 2:   E Long Division Methods more
  268.    wt: 2:   D Long Division Methods
  269.    wt: 2:   C Three Decimal Subtraction Methods
  270.    wt: 2:   B Decimal Comparison and Subtraction
  271.    wt: 2:   A Decimal Addition Columm Methods
  272.    wt: 2:   8 Column Multiplication Methods in General
  273.    wt: 2:   7 Decimals Multiplication Methods Examples
  274.    wt: 2:   6 Column Methods for Decimal Multiplication
  275.    wt: 2:   5 Distributive Law for Whole Numbers
  276.    wt: 2:   4 Commutative Law Groups Counting Form
  277.    wt: 2:   3 Multiplicative Counting Skills Principles
  278.    wt: 2:   2 Combing Counts Addition Skills and Principles
  279.    wt: 2:   5 Areas of Rectangles Revisited
  280.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  281.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  282.    wt: 2:   4 Comparison of Negative Numbers
  283.    wt: 2:   7 Two Examples
  284.    wt: 2:   4 Two Examples
  285.    wt: 2:   3 Two Examples
  286.    wt: 2:   11 Volume of Sphere
  287.    wt: 2:   10 Volume of Pyramid
  288.    wt: 2:   9 Volume of Cone
  289.    wt: 2:   6 Three Notions of What is a Variable
  290.    wt: 2:   4 A Brief Story of numbers and algebra
  291.    wt: 2:   4 Greater More Less Than Signs in General
  292.    wt: 2:   2 More and Less Than with Unlike Signs
  293.    wt: 2:   1 More and Less Than for Counts and Measures
  294.    wt: 2:   5 lengths and signs of numbers
  295.    wt: 2:   6 Simplification of Fractions with Units
  296.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  297.    wt: 2:   B Fractions and Two Term Ratios
  298.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  299.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  300.    wt: 2:   3 Unit fraction of a fraction
  301.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  302.    wt: 2:   20 Uniqueness of Prime Factorization
  303.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  304.    wt: 2:   C Counting Areas with Powers of Ten
  305.    wt: 2:   B Powers of Ten
  306.    wt: 2:   4 Two and Three Digit Multipliers
  307.    wt: 2:   8 Subtraction with Units of Measure
  308.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  309.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  310.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  311.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  312.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  313.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  314.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  315.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  316.    wt: 2:   Quick history of numbers and algebra
  317.    wt: 2:   012 Division of Time Intervals by Time Intervals
  318.    wt: 2:   011 Division of Time Intervals By Numbers
  319.    wt: 2:   010 Repeated Addition of Time Intervals
  320.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  321.    wt: 2:   8 Addition of Time Intervals via subtotaling
  322.    wt: 2:   7 Addition of Time Intervals
  323.    wt: 2:   4 Mixing and Changing Units of Time
  324.    wt: 2:   3 Units and Lengths of Time
  325.    wt: 2:   1 Intro of Kids To Time Date Skills
  326.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  327.    wt: 2:   30Chain Rule A Proof
  328.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  329.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  330.    wt: 2:   Chapter 23 Links To Trigonometry
  331.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  332.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  333.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  334.    wt: 2:   Chapter 6 Change of Language
  335.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  336.    wt: 2:   Chapter 4 Longer Chains of Reason
  337.    wt: 2:   Chapter 3 Chains of Reason
  338.    wt: 2:   Chapter 9 The Two Ends
  339.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  340.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  341.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  342.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  343.    wt: 2:   Chapter 8 Change of Language
  344.    wt: 2:   Chapter 7 Longer Chains of Reason
  345.    wt: 2:   Chapter 6 Chains of Reason
  346.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  347.    wt: 2:   C. Domino effect of being careful
  348.    wt: 2:   B. Domino effect of errors
  349.    wt: 2:   Chapter 6 More Algebra and Geometry
  350.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  351.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  352.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  353.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  354.    wt: 1:   Appendix 2 primary school Arithmetic 01
  355.    wt: 1:   Appendix 1 primary and preschool mathematic
  356.    wt: 1:   K LAMP Musings Science Education
  357.    wt: 1:   J LAMP Introduction Extrinsic Origins
  358.    wt: 1:   I LAMP Introduction Study Habits
  359.    wt: 1:   H LAMP Introduction Instructional Concepts
  360.    wt: 1:   G LAMP Introduction Problem Solving Skills
  361.    wt: 1:   F LAMP Introduction Prerequisites
  362.    wt: 1:   E LAMP Introduction Modern Mathematics
  363.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  364.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  365.    wt: 1:   A Introduction Objectives
  366.    wt: 1:   Skills Chapter 5 Calculus
  367.    wt: 1:   Skills Chapter 4 Logic
  368.    wt: 1:   Ramblings Extrinsic numbers theory
  369.    wt: 1:   Ramblings Introduction Algebra Essay
  370.    wt: 1:   Skills Chapter 3 Algebra
  371.    wt: 1:   Skills Chapter 1 Arithmetic
  372.    wt: 1:   Skills Chapter 0 Introduction
  373.    wt: 1:   11 pure mathematics
  374.    wt: 1:   10 statistics
  375.    wt: 1:   9 combinatorics probability sets
  376.    wt: 1:   7 logic review and decimals an odd combination
  377.    wt: 1:   6 polynomials etc
  378.    wt: 1:   5 logarithms and exponentials etc
  379.    wt: 1:   4 algebra
  380.    wt: 1:   2 arithmetic with signed numbers
  381.    wt: 1:   1 arithmetic with unsigned numbers
  382.    wt: 1:   What is POMME
  383.    wt: 1:   why bother
  384.    wt: 1:   which way to go
  385.    wt: 1:   website reviews
  386.    wt: 1:   three goals to set for students
  387.    wt: 1:   Teach the teachers plus goals
  388.    wt: 1:   permissions for teachers
  389.    wt: 1:   Math Ed if it must be short make it lean effective
  390.    wt: 1:   Applied Maths Program14092009 POMME variant
  391.    wt: 1:   activities for students
  392.    wt: 1:   links Education Resources online
  393.    wt: 1:   site origins
  394.    wt: 1:   site eurekas
  395.    wt: 1:   key notes and themes
  396.    wt: 1:   teacher certification
  397.    wt: 1:   modern education
  398.    wt: 1:   learning takes time
  399.    wt: 1:   grouping students according to ability
  400.    wt: 1:   what should be learnt and When
  401.    wt: 1:   mathematics in context
  402.    wt: 1:   Postscript 2007 01 10
  403.    wt: 1:   Education Reform Inconsistencies
  404.    wt: 1:   five decades make a difference
  405.    wt: 1:   how letters appear
  406.    wt: 1:   Secondary Three Mathematics
  407.    wt: 1:   Secondary One Mathematics
  408.    wt: 1:   talk the algebra talk
  409.    wt: 1:   three difficulties
  410.    wt: 1:   teaching tips
  411.    wt: 1:   What to Tell Students
  412.    wt: 1:   mathematics curriculum shifts
  413.    wt: 1:   geometric implications for algebra
  414.    wt: 1:   teaching tutoring algebraic reason
  415.    wt: 1:   Lessening Algebra Difficulties
  416.    wt: 1:   the trouble with algebra
  417.    wt: 1:   three goals for Mathematics Education
  418.    wt: 1:   05 13 OldSiteEntrancePage
  419.    wt: 1:   04 29 New Mathematics Curriculum
  420.    wt: 1:   04 25 when to stop or suspend mathemat
  421.    wt: 1:   02 21 words for teachers
  422.    wt: 1:   02 20 mathematics education references
  423.    wt: 1:   three aims for mathematics students
  424.    wt: 1:   standards for course material
  425.    wt: 1:   Operational Viewpoint to Value
  426.    wt: 1:   formal or informal peer review
  427.    wt: 1:   mathematics instruction in general
  428.    wt: 1:   Education in mathematics science and technology
  429.    wt: 1:   cultivating intelligence
  430.    wt: 1:   Four ways to improve education reform
  431.    wt: 1:   How to be a better instructor
  432.    wt: 1:   Motivation and Context Problem
  433.    wt: 1:   need for a mixed mathematics curriculum
  434.    wt: 1:   Leaner mathematics curriculum
  435.    wt: 1:   Prequel In For A Penny In For A Pound
  436.    wt: 1:   education an empirical art
  437.    wt: 1:   fairness and inductive principles for instruction
  438.    wt: 1:   words for mathematics instructor
  439.    wt: 1:   chapitre 12 00 les iles et division
  440.    wt: 1:   chapitre 07 01 principle D induction mathematique
  441.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  442.    wt: 1:   chapitre 06 00 Chaines de la raison
  443.    wt: 1:   chapitre 05 00 Deception
  444.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  445.    wt: 1:   chapitre 04 09 Regles accidentelles
  446.    wt: 1:   chapitre 04 08 Limitations et benefices
  447.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  448.    wt: 1:   chapitre 04 06 engagements
  449.    wt: 1:   chapitre 04 05 Implication versus suggestion
  450.    wt: 1:   chapitre 04 04 Parlons de la logique
  451.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  452.    wt: 1:   chapitre 04 02 Deuxieme enigme
  453.    wt: 1:   chapitre 04 01 Premiere enigme
  454.    wt: 1:   chapitre 04 00 Les regles d implication
  455.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  456.    wt: 1:   chapitre 02 00 La Communication des idees
  457.    wt: 1:   chapitre 01 00 Introduction
  458.    wt: 1:   liens
  459.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  460.    wt: 1:   problemes responses
  461.    wt: 1:   problemes algebre et arithmetique
  462.    wt: 1:   Trois Notions qui menent a algebre
  463.    wt: 1:   deux definitions pour variable
  464.    wt: 1:   logique deux enigme
  465.    wt: 1:   4 Energy Power Heat09
  466.    wt: 1:   3 Energy Power Heat08
  467.    wt: 1:   2 Energy Power Heat07
  468.    wt: 1:   1 Energy Power Heat06
  469.    wt: 1:   E Energy Power05
  470.    wt: 1:   D Energy Power04
  471.    wt: 1:   C Energy Power03
  472.    wt: 1:   B Energy Power02
  473.    wt: 1:   A Energy Power01
  474.    wt: 1:   2 Conductance Resistance Duality02
  475.    wt: 1:   1 Conductance Resistance Duality01
  476.    wt: 1:   F Wire Resistance Calculation04
  477.    wt: 1:   E Wire Resistance Calculation03
  478.    wt: 1:   D Wire Resistance Calculation02
  479.    wt: 1:   C Wire Resistance Calculation01
  480.    wt: 1:   B Wire Resistance Qualitative02
  481.    wt: 1:   A Wire Resistance Qualitative01
  482.    wt: 1:   3 Like resistors in parallel
  483.    wt: 1:   2 Unlike resistors in parallel01
  484.    wt: 1:   1 Like resistors in series
  485.    wt: 1:   H Series Circuit02
  486.    wt: 1:   G Series Circuit01
  487.    wt: 1:   F Unlike Resistors in Series
  488.    wt: 1:   C Electromotive force conventional current02
  489.    wt: 1:   B Electromotive force conventional current01
  490.    wt: 1:   A Circuit Elements
  491.    wt: 1:   Home Tutoring and Home Schooling
  492.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  493.    wt: 1:   24 Standards For Skill Develoment Take II
  494.    wt: 1:   24 Standards For Skill Develoment
  495.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  496.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  497.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  498.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  499.    wt: 1:   22 Student Centered Highschool Mathematics
  500.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  501.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  502.    wt: 1:   18 Primary School Mathematics
  503.    wt: 1:   17 Math Booklets for children and young teenagers
  504.    wt: 1:   16 Secondary Mathematics Tips
  505.    wt: 1:   15 Counting For Parents
  506.    wt: 1:   14 Multiplication and Times Tables
  507.    wt: 1:   13 Addition and Addition Tables
  508.    wt: 1:   12 Goals and Objectives For Mathematics
  509.    wt: 1:   11 Help and Defend Your Child or Teens Education
  510.    wt: 1:   10 Ends values for work study instruction
  511.    wt: 1:   9 Streaming by Student Cooperation
  512.    wt: 1:   7 Student Motivation
  513.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  514.    wt: 1:   5 Patience Please for Yourself and Your Charges
  515.    wt: 1:   4 Learning Takes Time and Effort
  516.    wt: 1:   3 Preparing for Science Studies
  517.    wt: 1:   2 Reading and Writing Skills
  518.    wt: 1:   1 Speaking Skills
  519.    wt: 1:   Ages 12 to 14 Geometry
  520.    wt: 1:   Ages 10 to 12 Geometry
  521.    wt: 1:   Ages 8 to 9
  522.    wt: 1:   Ages 7 to 8
  523.    wt: 1:   Ages 6 to 7
  524.    wt: 1:   Ages 4 plus to 5 plus
  525.    wt: 1:   Ages 3 plus to 4 plus
  526.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  527.    wt: 1:   sign monoticity analysis example 4
  528.    wt: 1:   sign monoticity analysis example 3
  529.    wt: 1:   sign monoticity analysis example 2
  530.    wt: 1:   sign monoticity analysis example 1
  531.    wt: 1:   26 Function definitions done and coming
  532.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  533.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  534.    wt: 1:   23 Inverse Functions
  535.    wt: 1:   22 Square Root function graphically
  536.    wt: 1:   20 Interchanging coordinates a reflection
  537.    wt: 1:   19 Horizontal line rule and method
  538.    wt: 1:   18 Vertical Line Rule and Method
  539.    wt: 1:   17 Function maxima minima and their location
  540.    wt: 1:   16 Increasing or decreasing on intervals
  541.    wt: 1:   14 Surjections Injections Bijections
  542.    wt: 1:   13 From one to one to many to one
  543.    wt: 1:   12 Function Domain Recognition Exercises
  544.    wt: 1:   11 Function Domain Range Source and Targets
  545.    wt: 1:   10 Interval Notation
  546.    wt: 1:   9 Set theory term relation possible origins
  547.    wt: 1:   7 Functions with finite domains
  548.    wt: 1:   6 Set Existence Formation and Notation
  549.    wt: 1:   5 Function notation for geometric transformations
  550.    wt: 1:   4 Function notation in and beyond mathematics
  551.    wt: 1:   3 Formula or function graphing exercise
  552.    wt: 1:   Introduction Reading Guide
  553.    wt: 1:   10 quadratic exercises
  554.    wt: 1:   9 quadratics physical and further context
  555.    wt: 1:   6 quadratics numerical approach
  556.    wt: 1:   1 quadratics graphing exercises
  557.    wt: 1:   Quadratics in 10 steps
  558.    wt: 1:   11 Growth and Decay in Biology
  559.    wt: 1:   5 Natural Logarithm Calculator Exercises
  560.    wt: 1:   1 Calculator Starter Exercises
  561.    wt: 1:   8 Notes for instructors or tutors
  562.    wt: 1:   7 Links Lessons Elsewhere
  563.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  564.    wt: 1:   4 Polynomials Long division linear divisor
  565.    wt: 1:   3 Polynomials Multiplication Addition
  566.    wt: 1:   2 Column Multiplication Method
  567.    wt: 1:   1 Polynomials Distributive Law
  568.    wt: 1:   Rewriting algebraic substitution as function substitutions
  569.    wt: 1:   musings do not puiblish real numbers
  570.    wt: 1:   A Modular and Remainder Arithmetic
  571.    wt: 1:   A Signed Number Arithmetic Review
  572.    wt: 1:   26 More Less Greater Than Comparison
  573.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  574.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  575.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  576.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  577.    wt: 1:   15 Head to Tails in place Addition Associative
  578.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  579.    wt: 1:   12 Real Numbers Line Signed Coordinates
  580.    wt: 1:   11 Signed Number Addition and Addition Properties
  581.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  582.    wt: 1:   9 Division with Digits after Decimal Point
  583.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  584.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  585.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  586.    wt: 1:   2 Counting Digits in Decimal Multiplication
  587.    wt: 1:   1 Fractions with Finite Decimal Expansions
  588.    wt: 1:   4 Fraction Operations Axiomatic Development
  589.    wt: 1:   3 Inequalities Algebraically
  590.    wt: 1:   2 Fraction Operations Physical Development
  591.    wt: 1:   5 Proportionality in Equivalent Fractions
  592.    wt: 1:   4 Rates Ratios and Proporitionality
  593.    wt: 1:   3 Proportionality Examples
  594.    wt: 1:   2 Algebraic View
  595.    wt: 1:   1 What is Proportionality
  596.    wt: 1:   6 Compound Interest Forward and Backwards
  597.    wt: 1:   3 Linear Equation Literal Solution More
  598.    wt: 1:   2 Linear Equation Literal Solution
  599.    wt: 1:   3 Product Axioms Two Forms
  600.    wt: 1:   5 Greater More Less Than Signs in General
  601.    wt: 1:   3 More and Less Than with Unlike Signs
  602.    wt: 1:   2 More and Less Than for Counts and Measures
  603.    wt: 1:   12 Real Number Additive Inverses or Negatives
  604.    wt: 1:   10 Real Number Lengths and Signs
  605.    wt: 1:   9 Coordinates for Regions in Space
  606.    wt: 1:   8 Coordinates for Maps and Planes
  607.    wt: 1:   5 Independent versus Dependent Variables
  608.    wt: 1:   More Exercises
  609.    wt: 1:   Simple Exercises
  610.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  611.    wt: 1:   4 GE III Animated Examples
  612.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  613.    wt: 1:   3 GE III Equation Addition and Multiplication
  614.    wt: 1:   2 GE II Comparison
  615.    wt: 1:   1 GE Substitution four examples
  616.    wt: 1:   4 Solving a triangular system exercise
  617.    wt: 1:   3 Solving triangular system example
  618.    wt: 1:   2 Essentially one exercises three with solution
  619.    wt: 1:   1 Essentially One Unknown
  620.    wt: 1:   6 Algebraic Solution Example
  621.    wt: 1:   5 Algebraic Solutions Introduction
  622.    wt: 1:   4 Four Examples Fractional Coefficients
  623.    wt: 1:   3 Four Examples
  624.    wt: 1:   2 Three Examples
  625.    wt: 1:   Skill Development Notes
  626.    wt: 1:   10 One Example
  627.    wt: 1:   9 Three Examples
  628.    wt: 1:   8 One Example
  629.    wt: 1:   6 Three Examples
  630.    wt: 1:   5 Three Examples
  631.    wt: 1:   2 Three Examples
  632.    wt: 1:   Using Letters for Physical Quantities
  633.    wt: 1:   13 Naming Identifying Formulas with Words
  634.    wt: 1:   8 Compound Interest Formula Evaluation
  635.    wt: 1:   7 Compound Interest Formula Introduction
  636.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  637.    wt: 1:   9 Sets in Probability and Statistics
  638.    wt: 1:   8 Sets of Numbers
  639.    wt: 1:   7 Cautious or Safe Set Construction
  640.    wt: 1:   2 Venn Diagrams
  641.    wt: 1:   3 Adding Words To Arithmetic
  642.    wt: 1:   2 What is a Variable
  643.    wt: 1:   About Folder Contents
  644.    wt: 1:   arithmetic videos Real Player Format
  645.    wt: 1:   3 Properties of Square Roots with example
  646.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  647.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  648.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  649.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  650.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  651.    wt: 1:   4 LCM of 8 and 10 via Prime
  652.    wt: 1:   7 negative and additive inverse
  653.    wt: 1:   6 adding signed numbers
  654.    wt: 1:   4 signed coordinates for regions in space
  655.    wt: 1:   3 signed coordinates for maps and planes
  656.    wt: 1:   7 Converting or Changing Units
  657.    wt: 1:   4 Fractions with Units
  658.    wt: 1:   3 Multiplying Units and Numbers
  659.    wt: 1:   2 Equality and Units
  660.    wt: 1:   1 Addition and Subtraction with Units
  661.    wt: 1:   D Three Term Ratios
  662.    wt: 1:   21 Working With Signs
  663.    wt: 1:   21 Reciprocals for Fractions and Wholes
  664.    wt: 1:   20 Dividing Fractions the Why
  665.    wt: 1:   19 Dividing Fractions How TO
  666.    wt: 1:   18 Efficient Ways to Multiply
  667.    wt: 1:   17 Efficient Ways to Add and Subtract
  668.    wt: 1:   16 Addition Subtraction Comparision Compared
  669.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  670.    wt: 1:   14 Adding and Subtracting with Like Denominators
  671.    wt: 1:   13 Fraction Comparison Algebraic View
  672.    wt: 1:   12 Fraction Comparison
  673.    wt: 1:   11 Simplification an Algebraic View
  674.    wt: 1:   9 Improper Fractions and Mixed Numbers
  675.    wt: 1:   8 Numerals Fractionals Quantals Take II
  676.    wt: 1:   7 Numerals Fractionals Quantals
  677.    wt: 1:   6 Multiplication of Mixed Numbers
  678.    wt: 1:   6 Multiplication Algebraically Take II
  679.    wt: 1:   5 Equivalent Fractions
  680.    wt: 1:   4 Fraction Multiplication
  681.    wt: 1:   2 Unit Fraction Multiplication
  682.    wt: 1:   1 What is a fraction Take II
  683.    wt: 1:   1 What is a fraction
  684.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  685.    wt: 1:   B Integer Long Division Multiple Choices
  686.    wt: 1:   A Associative Law Theorectical Note
  687.    wt: 1:   12 Adding Integers More Examples
  688.    wt: 1:   11 Adding Integers Formulas and Examples
  689.    wt: 1:   9 Multiplying Integers
  690.    wt: 1:   8 Multiplication by Signed Numbers Integers
  691.    wt: 1:   7 Multiplication by Signs
  692.    wt: 1:   6 Multiplication by Natural Numbers
  693.    wt: 1:   5 Zero Movement and Additive Inverses
  694.    wt: 1:   4 Adding Movements wiht opposite directions
  695.    wt: 1:   3 Adding Movements with same direction
  696.    wt: 1:   1 Integers as Coordinates
  697.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  698.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  699.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  700.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  701.    wt: 1:   17 Identify and Count Factors using Primes
  702.    wt: 1:   16 video Factors of 980 using prime
  703.    wt: 1:   15 video Factors of 20 using Prime Factorization
  704.    wt: 1:   14 video Factors of 24 Take II
  705.    wt: 1:   13 video Factors of 24 using prime
  706.    wt: 1:   12 LCD GCD and LCM using Primes
  707.    wt: 1:   11 Efficient Square Rule Use
  708.    wt: 1:   2 Prime and Composites less than 16
  709.    wt: 1:   12 Why Long Division Works Take III
  710.    wt: 1:   11 Another Single Digit Divisor Example
  711.    wt: 1:   10 Division by Five Long and Short Ways
  712.    wt: 1:   9 Why Long Division Works Take II
  713.    wt: 1:   8 Correcting the Mistake
  714.    wt: 1:   7 Long Divison Mistake Catching
  715.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  716.    wt: 1:   5 Long Division Include Zeroes or not
  717.    wt: 1:   4 Division with 2 Digit Divsors
  718.    wt: 1:   3 Division Single Digit Divisor Example
  719.    wt: 1:   2 Division with Single Digit Divisors
  720.    wt: 1:   1 Divsion Physical Examples
  721.    wt: 1:   D Decimal Multiplication Methods Derived
  722.    wt: 1:   A Elementary Basis for Multiplication Methods
  723.    wt: 1:   6 Multiplication Commutes Order Not Important
  724.    wt: 1:   3 More One Digit Multipliers
  725.    wt: 1:   2 One Digit Multipliers
  726.    wt: 1:   1 Why 3 times 5 gives 15
  727.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  728.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  729.    wt: 1:   9 22 Minute Subtraction Review Video
  730.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  731.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  732.    wt: 1:   5 A Tip for Efficent Subtraction
  733.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  734.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  735.    wt: 1:   2 Subtraction Easy Case Examples
  736.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  737.    wt: 1:   8 What skills and work habits to require
  738.    wt: 1:   7 Adding decimal fractions using decimal point
  739.    wt: 1:   6. Counting and adding units and mixed units
  740.    wt: 1:   5. How to add decimals C. Examples
  741.    wt: 1:   4. How to add with decimals B with conversions
  742.    wt: 1:   3. How to add with decimals A sans conversions
  743.    wt: 1:   2 Decimal Counting Practices
  744.    wt: 1:   1. Explaining Addition Table
  745.    wt: 1:   11 Place Value SI Standard International way
  746.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  747.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  748.    wt: 1:   Exact Arithmetic Wholes and Fractions
  749.    wt: 1:   The 20 Times Table
  750.    wt: 1:   The 12 Times Table Visually
  751.    wt: 1:   About folder contents
  752.    wt: 1:   016 Numbering Occidental Calendar Days
  753.    wt: 1:   015 School and work day counting tables
  754.    wt: 1:   014 Counting Days with Calendars
  755.    wt: 1:   013 Travel Time Tables
  756.    wt: 1:   5 Conversion Arithmetic
  757.    wt: 1:   2 Time and Date Matters in School
  758.    wt: 1:   Example 2 volume of a cone
  759.    wt: 1:   Example 1 volume of a pyramid
  760.    wt: 1:   Volume of Solid by Cross Sections Lesson
  761.    wt: 1:   Example 4 with x function of y
  762.    wt: 1:   A Related Material in Volume 3
  763.    wt: 1:   5 Area Under Curve Exercise
  764.    wt: 1:   3 Two Chain Rule Method Exercises
  765.    wt: 1:   A Related lessons in Volume 3
  766.    wt: 1:   3 Second derivative test
  767.    wt: 1:   2 Second derivative test prequel
  768.    wt: 1:   A Chain Rule Real Player video examples
  769.    wt: 1:   36 Cube root derivative animated
  770.    wt: 1:   34 Derivative of exponential function
  771.    wt: 1:   33 Chain Rule Real Player video examples
  772.    wt: 1:   31 Derivatives of inverse functions
  773.    wt: 1:   29 Chain Rule Optional Reading
  774.    wt: 1:   28 Chain Rule Preparation for a Proof
  775.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  776.    wt: 1:   25 Chain Rule Animated Examples Continued
  777.    wt: 1:   24 Chain Rule Animated Examples
  778.    wt: 1:   20 Chain Rule for Pulley Systems
  779.    wt: 1:   18 Chain Rule Introduction
  780.    wt: 1:   12 Quotient rule examples
  781.    wt: 1:   11 Quotient rule
  782.    wt: 1:   10 Power rule for negative integers
  783.    wt: 1:   9 Reciprocal rule
  784.    wt: 1:   8 Differentiation of polynomials
  785.    wt: 1:   7 Animated Differentiation Examples
  786.    wt: 1:   6 Power rule from product rule
  787.    wt: 1:   5 Product Rule
  788.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  789.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  790.    wt: 1:   11 Limits at infinity Three Examples
  791.    wt: 1:   10 Three one sided limits with infinite values
  792.    wt: 1:   9 Limits Continuity and Composition
  793.    wt: 1:   8 Four Animated Examples
  794.    wt: 1:   7 Evaluation by immediate or delayed substitution
  795.    wt: 1:   5 Jumps and absence of unlimited error control
  796.    wt: 1:   3 Decimal insights for limits continuity convergence
  797.    wt: 1:   2 Algebraic codification
  798.    wt: 1:   1 Numerical introduction
  799.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  800.    wt: 1:   G.3 Constant Difference Theorem Proof
  801.    wt: 1:   E2 Algebraic Properties of Limits
  802.    wt: 1:   D2 Limits of Monotone Sequences
  803.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  804.    wt: 1:   PostScript For and Against Decimal Perspectives
  805.    wt: 1:   A1. Introduction
  806.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  807.    wt: 1:   Chapter 13. Acceleration
  808.    wt: 1:   Chapter 12. Units and Slopes
  809.    wt: 1:   Chapter 11. Graphing Slope versus Position
  810.    wt: 1:   Chapter 10 Slopes and Units
  811.    wt: 1:   Chapter 9 About First Courses in Calculus
  812.    wt: 1:   Chapter 8. Slope Interpretation
  813.    wt: 1:   Chapter 7 Slopes and Velocity
  814.    wt: 1:   Chapter 5. Slope Sign Tests
  815.    wt: 1:   Chapter 3. Slope Sign Analysis
  816.    wt: 1:   Chapter 1.Introduction
  817.    wt: 1:   Fall 1983 Calculus Appetizer
  818.    wt: 1:   Foreword
  819.    wt: 1:   Postscript More on Better Performance
  820.    wt: 1:   Postscript For Better Performance
  821.    wt: 1:   Appendix E. How To Study Mathematics and Why
  822.    wt: 1:   Appendix D. What to do in School and Why
  823.    wt: 1:   Appendix C. How to Read
  824.    wt: 1:   Appendix B. How To Learn
  825.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  826.    wt: 1:   Chapter 31 Direct and Indirect Reason
  827.    wt: 1:   Chapter 30 Truth Tables
  828.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  829.    wt: 1:   Chapter 28 Occurrence Tables
  830.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  831.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  832.    wt: 1:   Chapter 21. Third Reading Guide
  833.    wt: 1:   Chapter 19. Functions and Sets
  834.    wt: 1:   Chapter 18. Rules for Algebra
  835.    wt: 1:   Chapter 16. Painless Theorem Proving
  836.    wt: 1:   Chapter 15. Solving Linear Equations
  837.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  838.    wt: 1:   Chapter 13. Second Reading Guide
  839.    wt: 1:   Chapter 12. Shorthand Usage Guide
  840.    wt: 1:   Chapter 11. Why Shorthand
  841.    wt: 1:   Chapter 10 Describing and Changing Calculations
  842.    wt: 1:   Postscript What is a Variable
  843.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  844.    wt: 1:   Solutions For Arithmetic Exercises
  845.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  846.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  847.    wt: 1:   Foreword
  848.    wt: 1:   Annotated Links to Material Elsehwere
  849.    wt: 1:   Postscript B Mathematics Education References
  850.    wt: 1:   Postscript A Three Remarks
  851.    wt: 1:   Chapter 12 Four Phases
  852.    wt: 1:   Chapter 11 Elementary Instruction
  853.    wt: 1:   Chapter 10 Transition
  854.    wt: 1:   Chapter 8 Modern Instruction
  855.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  856.    wt: 1:   Chapter 5 Four References
  857.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  858.    wt: 1:   Chapter 3 Algebra Difficulties
  859.    wt: 1:   Chapter 2 For and Against Mathematics
  860.    wt: 1:   Chapter 1 Introduction
  861.    wt: 1:   Foreword
  862.    wt: 1:   Postscript C Consistency as a Tool for Reason
  863.    wt: 1:   Postscript B More on Story Telling and Reason
  864.    wt: 1:   Postscript A Story Telling
  865.    wt: 1:   Chapter 24 Direct and Indirect Reason
  866.    wt: 1:   Chapter 23 Truth Tables
  867.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  868.    wt: 1:   Chapter 21 Occurrence Tables
  869.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  870.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  871.    wt: 1:   Chapter 18 Sense and Knowledge
  872.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  873.    wt: 1:   Chapter 15 Objective Processes
  874.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  875.    wt: 1:   Chapter 11 Accidental Patterns
  876.    wt: 1:   Chapter 10 Responsibility
  877.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  878.    wt: 1:   Chapter 5 Deception
  879.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  880.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  881.    wt: 1:   Chapter 2 Skill Development
  882.    wt: 1:   Chapter 1 Introduction
  883.    wt: 1:   Three Remarks
  884.    wt: 1:   Foreword
  885.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  886.    wt: 1:   S Adding words to algebra
  887.    wt: 1:   R Why Learn Mathematics Skills
  888.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  889.    wt: 1:   O On Learning Mathematics and Science
  890.    wt: 1:   N Mathematics Prepare for College Studies
  891.    wt: 1:   M Words to extend arithmetic
  892.    wt: 1:   L Skills with take home value
  893.    wt: 1:   J. More on written work and showing skill
  894.    wt: 1:   I. Logic and language skills
  895.    wt: 1:   H more Routine to non routine problem solving
  896.    wt: 1:   H Jigsaw puzzles and problem solving
  897.    wt: 1:   F. The student teacher tutor feedback loop
  898.    wt: 1:   E. When and how to correct errors
  899.    wt: 1:   D. Check work a must with a caution
  900.    wt: 1:   A. Skill has to be seen to believed
  901.    wt: 1:   How to Build Skills and Confidence
  902.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  903.    wt: 1:   Chapter 8 Skipped Topics and Why
  904.    wt: 1:   Chapter 3 Algebra Starter Lessons
  905.    wt: 1:   Chapter 2 Why Sets
  906.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  907.    wt: 1:   7 Games and Activities for Instruction
  908.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  909.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  910.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  911.    wt: 1:   Helping the Blind in Logic and Mathematics
  912.    wt: 1:   Mathematics Education References
  913.    wt: 1:   Mathematics Education References
  914.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  915.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  916.    wt: 1:   Implementation Notes
  917.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  918.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  919.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  920.    wt: 1:   Which Way To Go
  921.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  922.    wt: 1:   Road Safety Questions
  923.    wt: 1:   The Math Forum and Site Content
  924.    wt: 1:   Site Reviews
  925.    wt: 10:   8 More Use of Maps Not Drawn to Scale
  926.    wt: 10:   4 Angles on Maps Plans drawn to scale
  927.    wt: 10:   3 Lengths and Areas on Maps and Plans
Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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