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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75 matches:

  1.    wt: 8:   10 Intersecting Straight Lines and Transversals/
  2.    wt: 8:   1 Maps Plans Measurement/
  3.    wt: 7:   13 Vectors/
  4.    wt: 7:   8 Unit Circle Trigonometry/
  5.    wt: 7:   6 Trigonometry first steps/
  6.    wt: 6:   15 Arc or Inverse Trigonometric Function/
  7.    wt: 6:   14 Degrees to Radians and Radians to Degrees/
  8.    wt: 6:   12 Function Translating and Rescaling/
  9.    wt: 6:   11 Parallel Straight Lines and Transversals/
  10.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  11.    wt: 6:   7 Complex Numbers/
  12.    wt: 6:   5 What is Similarity/
  13.    wt: 6:   4 Lines and Slopes Take 1/
  14.    wt: 6:   3 Cartesian and Polar Coordinates/
  15.    wt: 6:   2 Euclidean Geometry Constructions Theory extras/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 3:   Volume 1A Regles et modeles/
  18.    wt: 3:   Step 4 Gaussian Elimination/
  19.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  20.    wt: 3:   Step 2 Algebraic solutions for one unknown/
  21.    wt: 3:   Step 1 Stick diagram and fractions/
  22.    wt: 3:   10 LCM GCD and Euclid GCD Algorithm/
  23.    wt: 3:   Time Date Matters/
  24.    wt: 2:   Mathematics Education Essays/
  25.    wt: 2:   3 Quadratics Geometrically/
  26.    wt: 2:   10 Examples of Algebraic Reasoning/
  27.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  28.    wt: 2:   3 Solving Linear Equations/
  29.    wt: 2:   D Decimal Long Division Methods/
  30.    wt: 2:   C Decimal Multiplication Methods/
  31.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  32.    wt: 2:   A Decimal Counting and Adding Methods/
  33.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  34.    wt: 2:   5 Lessons on Integration/
  35.    wt: 2:   4 Lessons on Using Derivatives/
  36.    wt: 2:   38 Lessons on Calculating Derivatives/
  37.    wt: 2:   13 Lessons on Limits and Continuity/
  38.    wt: 1:   LAMP Lean Applied Mathematics Program/
  39.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  40.    wt: 1:   Archives/
  41.    wt: 1:   francais/
  42.    wt: 1:   Direct Current Electric Circuits/
  43.    wt: 1:   Parent Center/
  44.    wt: 1:   Mathematics Skills Year by Year/
  45.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  46.    wt: 1:   4 Functions/
  47.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  48.    wt: 1:   1 Five Polynomial Operations/
  49.    wt: 1:   B Real Numbers Extrinsic Development/
  50.    wt: 1:   A Origins of Counting and Figuring Methods/
  51.    wt: 1:   9 Proportionality Backwards and Forwards/
  52.    wt: 1:   8 Unifying Theme For Algebra/
  53.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  54.    wt: 1:   5 Real Numbers/
  55.    wt: 1:   4 Computation Rules and Function Notation/
  56.    wt: 1:   2 Formula Forward Use Evaluation/
  57.    wt: 1:   1 Working With Sets/
  58.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  59.    wt: 1:   11 Squares and Square Roots/
  60.    wt: 1:   9 Combinatorics Trees Tables and Products/
  61.    wt: 1:   8 Arithmetic with Signed Numbers/
  62.    wt: 1:   7 Arithmetic and Fractions with Units/
  63.    wt: 1:   6 Fractions and Ratios/
  64.    wt: 1:   5 Integers/
  65.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  66.    wt: 1:   3 Prime Factorization Skills/
  67.    wt: 1:   2 Arithmetic with Decimals/
  68.    wt: 1:   1 Decimal Place Value/
  69.    wt: 1:   Skills with take home value/
  70.    wt: 1:   70 Calculus Starter Lessons/
  71.    wt: 1:   Work and Study Tips/
  72.    wt: 1:   Mathematics 506 Lessons/
  73.    wt: 1:   Quebec Material/
  74.    wt: 1:   Secondary Mathematics A Practical Approach/
  75.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

133 matches:

  1.    wt: 2:   Postscript 2007 01 10
  2.    wt: 2:   Maps Plans Drawings
  3.    wt: 2:   A Quadratics Summary
  4.    wt: 2:   8 quadratics backward use of various formulas
  5.    wt: 2:   Quadratics in 10 steps
  6.    wt: 2:   10 Straight Lines through Origin Equations More
  7.    wt: 2:   10 Graphs of sines and cosines many periods
  8.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  9.    wt: 2:   4 Angles on Maps Plans drawn to scale
  10.    wt: 2:   3 Lengths and Areas on Maps and Plans
  11.    wt: 2:   10 Integer Multiplication Formulas
  12.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  13.    wt: 1:   10 statistics
  14.    wt: 1:   Applied Maths Program14092009 POMME variant
  15.    wt: 1:   About site lesson plans
  16.    wt: 1:   chapitre 12 00 les iles et division
  17.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  18.    wt: 1:   chapitre 06 00 Chaines de la raison
  19.    wt: 1:   chapitre 05 00 Deception
  20.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  21.    wt: 1:   chapitre 04 00 Les regles d implication
  22.    wt: 1:   chapitre 02 00 La Communication des idees
  23.    wt: 1:   chapitre 01 00 Introduction
  24.    wt: 1:   10 Ends values for work study instruction
  25.    wt: 1:   Ages 10 to 12 Geometry
  26.    wt: 1:   Ages 10 to 12 Arithmetic
  27.    wt: 1:   Ages 9 to 10
  28.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  29.    wt: 1:   10 Interval Notation
  30.    wt: 1:   10 quadratic exercises
  31.    wt: 1:   9 quadratics physical and further context
  32.    wt: 1:   6 quadratics numerical approach
  33.    wt: 1:   5 quadratics completing the square
  34.    wt: 1:   4 quadratics difference of two squares
  35.    wt: 1:   3 quadratics factoring by inspection
  36.    wt: 1:   2 quadratics graphing in general
  37.    wt: 1:   1 quadratics graphing exercises
  38.    wt: 1:   10 Exponential Growth and Decay Models
  39.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  40.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  41.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  42.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  43.    wt: 1:   10 arctan left inverse of tangent Definition
  44.    wt: 1:   9 Summary Degrees to Radians and back
  45.    wt: 1:   13 Velocity Vectors in Physics
  46.    wt: 1:   10 Parallelogram Addition Method
  47.    wt: 1:   8 Parallel Vectors
  48.    wt: 1:   6 Vectors with Coordinates
  49.    wt: 1:   3 Navigation with Arrows or Vectors
  50.    wt: 1:   Straight Lines Instersection Solving Equations
  51.    wt: 1:   14 Straight Lines Equations General Case
  52.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  53.    wt: 1:   9 Straight Lines through Origin Equations
  54.    wt: 1:   17 tangent function angle sum formulas
  55.    wt: 1:   26 Formulas for products of sines and cosines
  56.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  57.    wt: 1:   21 sine and cosine Half Angle Formulas
  58.    wt: 1:   20 sine and cosine Double Angle Formulas
  59.    wt: 1:   17E Trig Formulas for dot and cross Products
  60.    wt: 1:   17D cis formulas for sine cosines and tangent
  61.    wt: 1:   17C sine and cosine double triple angle formulas
  62.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  63.    wt: 1:   9 Graphs of sine and cosine over one period
  64.    wt: 1:   Unit Circle Development of Trigonometry
  65.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  66.    wt: 1:   13 Trig Formulas for dot and cross Products
  67.    wt: 1:   12 cis formulas for sine cosines and tangent
  68.    wt: 1:   11 sine and cosine double triple angle formulas
  69.    wt: 1:   8 Unit Circle Development of Trigonometry
  70.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  71.    wt: 1:   Why Trigonometry the whyslopes view
  72.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  73.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  74.    wt: 1:   11 A Partial Summary
  75.    wt: 1:   10 Midpoint of [a b] and [b a]
  76.    wt: 1:   4 Equations for lines three forms
  77.    wt: 1:   1 Numerical view of lines and their equations
  78.    wt: 1:   13 Pythagorean spatial distance formulas
  79.    wt: 1:   10 Pythagorean plane distance formula
  80.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  81.    wt: 1:   10 Dropping a perpendicular to line
  82.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  83.    wt: 1:   6 Figuring with Maps Not to Scale
  84.    wt: 1:   19 Signed Multiples of Vectors
  85.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  86.    wt: 1:   13 Arrows and Vectors in a Plane
  87.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  88.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  89.    wt: 1:   6 Equations and Systems Equivalent or Implied
  90.    wt: 1:   10 Real Number Lengths and Signs
  91.    wt: 1:   8 Coordinates for Maps and Planes
  92.    wt: 1:   3 Geometric Formulas and Function Notation
  93.    wt: 1:   1 Formulas Dependence and Function Notation
  94.    wt: 1:   10 One Example
  95.    wt: 1:   13 Naming Identifying Formulas with Words
  96.    wt: 1:   10 Volume of Pyramid
  97.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  98.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  99.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  100.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  101.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  102.    wt: 1:   4 LCM of 8 and 10 via Prime
  103.    wt: 1:   12 GCD 2700 288 via Prime
  104.    wt: 1:   10 dividing signed numbers
  105.    wt: 1:   3 signed coordinates for maps and planes
  106.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  107.    wt: 1:   11 Adding Integers Formulas and Examples
  108.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  109.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  110.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  111.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  112.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  113.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  114.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  115.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  116.    wt: 1:   1 Remainder Arithmetic Modulo 10
  117.    wt: 1:   10 video Prime Factorization upto 23 squared
  118.    wt: 1:   10 Division by Five Long and Short Ways
  119.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  120.    wt: 1:   010 Repeated Addition of Time Intervals
  121.    wt: 1:   Summary
  122.    wt: 1:   38 Formulas and derivatives for powers and roots
  123.    wt: 1:   10 Power rule for negative integers
  124.    wt: 1:   10 Three one sided limits with infinite values
  125.    wt: 1:   Chapter 23 Links To Trigonometry
  126.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  127.    wt: 1:   Chapter 10 Slopes and Units
  128.    wt: 1:   Chapter 15. Solving Linear Equations
  129.    wt: 1:   Chapter 10 Describing and Changing Calculations
  130.    wt: 1:   Chapter 10 Transition
  131.    wt: 1:   Chapter 10 Responsibility
  132.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  133.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

1078 matches:

  1.    wt: 9:   13 Velocity Vectors in Physics
  2.    wt: 9:   8 Parallel Vectors
  3.    wt: 9:   6 Vectors with Coordinates
  4.    wt: 9:   3 Navigation with Arrows or Vectors
  5.    wt: 9:   Vector and Complex Number Applet
  6.    wt: 9:   Construction Methods and Criteria for Isometric and Similar Triangles
  7.    wt: 9:   SAS Method For Isometric Or Proportional Triangle Construction
  8.    wt: 9:   Analytic View of Triangle Construction or Line Instersection More
  9.    wt: 9:   Straight Lines ASA Intersection Study More
  10.    wt: 9:   Straight Lines ASA Intersection Study
  11.    wt: 9:   Straight Lines Intersection of
  12.    wt: 9:   10 Straight Lines through Origin Equations More
  13.    wt: 9:   9 Graphs of sine and cosine over one period
  14.    wt: 9:   Unit Circle Development of Trigonometry
  15.    wt: 9:   6 Trigonometry Sines of Supplementary Angles
  16.    wt: 9:   10 Midpoint of [a b] and [b a]
  17.    wt: 9:   10 Pythagorean plane distance formula
  18.    wt: 9:   10 Dropping a perpendicular to line
  19.    wt: 8:   10 arctan left inverse of tangent Definition
  20.    wt: 8:   9 Summary Degrees to Radians and back
  21.    wt: 8:   1 Degrees and Radians Introduction
  22.    wt: 8:   A Global Time and Navigation
  23.    wt: 8:   15 Dot and Cross Product
  24.    wt: 8:   14 Why Scalar Multiplication Distributes Physical Argument
  25.    wt: 8:   12 From Applied To Pure Mathematics
  26.    wt: 8:   11 Component Method
  27.    wt: 8:   9 Head to Tail Coordinate View
  28.    wt: 8:   7 Coordinate Addition and Scalar Multiplication
  29.    wt: 8:   5 Head To Tail Arrow Addition
  30.    wt: 8:   4 Resultant of a Sum of Movements
  31.    wt: 8:   2 Signed Coordinates
  32.    wt: 8:   1 Unsigned Coordinates
  33.    wt: 8:   14 Straight Lines Equations General Case
  34.    wt: 8:   13 Straight Lines Finding Equations from 2 points
  35.    wt: 8:   9 Straight Lines through Origin Equations
  36.    wt: 8:   17 tangent function angle sum formulas
  37.    wt: 8:   26 Formulas for products of sines and cosines
  38.    wt: 8:   22 sine of 22.5 degrees via half angle formulas
  39.    wt: 8:   21 sine and cosine Half Angle Formulas
  40.    wt: 8:   20 sine and cosine Double Angle Formulas
  41.    wt: 8:   17E Trig Formulas for dot and cross Products
  42.    wt: 8:   17D cis formulas for sine cosines and tangent
  43.    wt: 8:   17C sine and cosine double triple angle formulas
  44.    wt: 8:   17B sine cosine Angle Sum Formulas via cis
  45.    wt: 8:   13 Graph of tangent function many periods
  46.    wt: 8:   12 Graph of tangent function for one period
  47.    wt: 8:   11 tangent function undefined when terminal side vertical
  48.    wt: 8:   8 period of tangent function
  49.    wt: 8:   7 period of sine and cosine
  50.    wt: 8:   6 sines and cosines for reference angle 30 degrees
  51.    wt: 8:   5 sines and cosines for reference angle 60 degrees
  52.    wt: 8:   4 sines and cosines for reference angle 45 degrees
  53.    wt: 8:   3 sines and cosines for reference angle 90 degrees
  54.    wt: 8:   2 Quadrant I reference Angles
  55.    wt: 8:   1 Unit Points Reflections Rotations
  56.    wt: 8:   13 Trig Formulas for dot and cross Products
  57.    wt: 8:   12 cis formulas for sine cosines and tangent
  58.    wt: 8:   11 sine and cosine double triple angle formulas
  59.    wt: 8:   8 Unit Circle Development of Trigonometry
  60.    wt: 8:   Appetizer A Complex Number Applet
  61.    wt: 8:   8 Triangles Cascade Problem Solving
  62.    wt: 8:   7 Trignometric Ratios Unit Circle
  63.    wt: 8:   5 Trigonometric Ratios For Tangent and Special Triangles
  64.    wt: 8:   4 Trigonometric Ratios For Two Special Triangles
  65.    wt: 8:   3 Trigonometric Ratios sine and cosine
  66.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  67.    wt: 8:   1 Angle Measurement with Degrees
  68.    wt: 8:   10 Similarity of Triangles Equivalent of Two Criteria
  69.    wt: 8:   11 A Partial Summary
  70.    wt: 8:   4 Equations for lines three forms
  71.    wt: 8:   1 Numerical view of lines and their equations
  72.    wt: 8:   What is and is not here
  73.    wt: 8:   13 Pythagorean spatial distance formulas
  74.    wt: 8:   PS C Similarity Use Recognize it in Trigonometry
  75.    wt: 8:   Short Course on Euclidean Geometry
  76.    wt: 7:   16 cotangent function Definition Graph and Inverse
  77.    wt: 7:   15 cosecant function Definition Graph and Inverse
  78.    wt: 7:   14 secant function Definition Graph and Inverse
  79.    wt: 7:   13 cosecant function Definition Graph and Inverse
  80.    wt: 7:   12 motivation for term arctan
  81.    wt: 7:   11 arctan left inverse of tangent Graph
  82.    wt: 7:   9 motivation for name arcsin
  83.    wt: 7:   8 arcsin left inverse of sine Graph
  84.    wt: 7:   7 arcsin left inverse of sine Definition
  85.    wt: 7:   6 Graph of arccos function
  86.    wt: 7:   5 Swapping Coordinates is a reflection
  87.    wt: 7:   4 possible motivation for term arccos
  88.    wt: 7:   3 Left Inverse of cosine arccos definition
  89.    wt: 7:   2 cosine function more properties
  90.    wt: 7:   1 cosine function properties
  91.    wt: 7:   8 Radian Measures of Common Angles
  92.    wt: 7:   7 Radian Measures in special Triangles
  93.    wt: 7:   6 Radian Measure to Degrees
  94.    wt: 7:   5 Degrees to Radian Measure
  95.    wt: 7:   4 Circle Sector Area proportional to Central Angle
  96.    wt: 7:   3 Circle Arclengh Proportional to Central Angle
  97.    wt: 7:   2 Radian Measure Numerical Value of one degree
  98.    wt: 7:   4 graphing y=Asin(x c)
  99.    wt: 7:   3 graphing y=f(x c) plus K
  100.    wt: 7:   2 Graphing y=Af(x) Vertical Scaling
  101.    wt: 7:   1 graphing y=f(x a)
  102.    wt: 7:   Parallel Lines and Parallel Transversals
  103.    wt: 7:   Proportionality of Line Segments From Parallel Transversals
  104.    wt: 7:   Triangle Angles Sum To 180 Degrees
  105.    wt: 7:   Parallel Lines and Alternating Corresponding Angles
  106.    wt: 7:   Parallel Lines and Interior Angles
  107.    wt: 7:   D Straight Lines Slope from Coordinates Examples
  108.    wt: 7:   C Straight Lines Slope from Coordinates
  109.    wt: 7:   B Straight Line Slope Scaling Properties More
  110.    wt: 7:   A Straight Line Slope Scaling Properties
  111.    wt: 7:   12 Straight Lines Graphing mx plus b
  112.    wt: 7:   11 Straight Lines Graphing y=mx
  113.    wt: 7:   8 Straight Lines Equation for vertical
  114.    wt: 7:   7 Tangent Function is odd on this domain
  115.    wt: 7:   6 Tangent Function Inclination Angle Take 2
  116.    wt: 7:   5 Tangent Function Graph
  117.    wt: 7:   4 Tangent Function Properties
  118.    wt: 7:   3 Straight Lines Slope as Tangent of Inclination Angle
  119.    wt: 7:   2 Straight Lines Slopes As Rise Over Run
  120.    wt: 7:   1 Straight Lines Slope Concept
  121.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  122.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  123.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  124.    wt: 7:   32 seven rows of pascals triangle
  125.    wt: 7:   31 basic secant cosecant cotangent trig identities
  126.    wt: 7:   30 unit circle calculation of six trigonometric functions
  127.    wt: 7:   29 secant cosecant and cotangent for acute angles
  128.    wt: 7:   28 Expressing products of sines cosines as sums
  129.    wt: 7:   27 Logarithmic use of products of sines and cosines
  130.    wt: 7:   25 tangent double angle formula Slope connection
  131.    wt: 7:   24 tangent Angle Difference Formula
  132.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  133.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  134.    wt: 7:   18 sum of sinusoidal waves as a single wave
  135.    wt: 7:   17G Pythagorean Theorem Converse
  136.    wt: 7:   17F Law of cosines
  137.    wt: 7:   17A The complex number valued trig function cis
  138.    wt: 7:   16 Right Triangle Complementary Angle Relations
  139.    wt: 7:   15 sine cosine Complementary Angle Relations
  140.    wt: 7:   14 cosine even and sine and tangent are odd
  141.    wt: 7:   21 Logarithms Powers and Exponentials
  142.    wt: 7:   20 N th Roots of Complex Numbers
  143.    wt: 7:   19 N th Roots of Unity
  144.    wt: 7:   18 Sixth Roots of Unity
  145.    wt: 7:   17 Cube Roots of unity
  146.    wt: 7:   16 References and Originality Question
  147.    wt: 7:   15 Pythagorean Theorem Converse
  148.    wt: 7:   14 Law of cosines
  149.    wt: 7:   9 The complex number valued trig function cis
  150.    wt: 7:   7 Second Way to Calculate Products
  151.    wt: 7:   6 Field Properties of Complex Number
  152.    wt: 7:   5 An Easy Proof of the Distributive Law
  153.    wt: 7:   4 Multiplication Properties
  154.    wt: 7:   3 Addition Properties
  155.    wt: 7:   2 Complex Numbers made easier we hope
  156.    wt: 7:   1 Rectangular Polar Coordinates Review
  157.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  158.    wt: 7:   12 Triangles Similarity More Problems
  159.    wt: 7:   11 Triangle Similarity Missing Side Problem
  160.    wt: 7:   9 Similarity of Triangles Usual Criteria
  161.    wt: 7:   2 Similarity By Design
  162.    wt: 7:   1 Early Concept of Like or Similar Shapes
  163.    wt: 7:   Four Simple Exercises
  164.    wt: 7:   12 Links Lessons elsewhere
  165.    wt: 7:   9 Midpoint Coordinates Half Endpoint Sum
  166.    wt: 7:   8 Mid Point Formula
  167.    wt: 7:   7 Exercises to test skill and concept mastery
  168.    wt: 7:   6 Intersection of lines by solving linear systems
  169.    wt: 7:   5 Algebraic View of Slopes
  170.    wt: 7:   3 Slope product for perpendicular lines
  171.    wt: 7:   2 point slope equation for a line
  172.    wt: 7:   12 Spatial Coordinates
  173.    wt: 7:   11 Triangle Inequality
  174.    wt: 7:   9 Pythagorean Theorem Chinese Square Proof
  175.    wt: 7:   8 Distance Between Points on a Line
  176.    wt: 7:   7 Complex Numbers Appetizer
  177.    wt: 7:   6 Polar Multiplication and Rotation
  178.    wt: 7:   5 Cartesian Addition and Translation
  179.    wt: 7:   4 Polar Coordinates to and from
  180.    wt: 7:   3 Rectangular Coordinates Review
  181.    wt: 7:   2 Cartesian Coordinates with signs
  182.    wt: 7:   1 Cartesian Coordinates sans signs
  183.    wt: 7:   Euclidean Geometry Elsewhere LINKS
  184.    wt: 7:   PS H Distributive Law For Complex Numbers
  185.    wt: 7:   PS G Rotation Distributes over Addition
  186.    wt: 7:   PS F Scalar Multiplication Distributes over Addition
  187.    wt: 7:   PS E Multiplication with Polar Coordinates
  188.    wt: 7:   PS D Addition with Cartesian Coordinates
  189.    wt: 7:   PS B Parallelogram Construction Methods
  190.    wt: 7:   PS A Kite Construction Methods
  191.    wt: 7:   21 Parallelograms
  192.    wt: 7:   19 Right Triangle Similarity
  193.    wt: 7:   18 Triangle Similarity Take 1
  194.    wt: 7:   17 Right Bisectors of Triangle Sides
  195.    wt: 7:   16 Angles Subtended By Chords and Diameters
  196.    wt: 7:   15 Triangle Angle Sum is 180 degrees
  197.    wt: 7:   14 Parallel Lines Postulate
  198.    wt: 7:   13 Angle Side Angle Failure
  199.    wt: 7:   12 Side Angle Side Failure
  200.    wt: 7:   11 Triangle Construction Fails
  201.    wt: 7:   9 Construction of a right bisector
  202.    wt: 7:   8 Isoceles Triangles
  203.    wt: 7:   7 Angle Side Angle
  204.    wt: 7:   6 Ruler and compass Angle Bisection
  205.    wt: 7:   5 Side Angle Side
  206.    wt: 7:   4 Side Side Side
  207.    wt: 7:   3 Isometry of Triangles Congruence
  208.    wt: 7:   2 Correspondence between Triangles
  209.    wt: 7:   1 Initial Concepts and Terms
  210.    wt: 7:   About Folder Contents
  211.    wt: 6:   chapitre 12 00 les iles et division
  212.    wt: 6:   chapitre 07 00 Des chaines plus longues de la raison
  213.    wt: 6:   chapitre 06 00 Chaines de la raison
  214.    wt: 6:   chapitre 05 00 Deception
  215.    wt: 6:   chapitre 04 10 Etapes pour une meilleur raison
  216.    wt: 6:   chapitre 04 00 Les regles d implication
  217.    wt: 6:   chapitre 02 00 La Communication des idees
  218.    wt: 6:   chapitre 01 00 Introduction
  219.    wt: 6:   Quadratics in 10 steps
  220.    wt: 6:   8 Similarity of Triangles and Polygons
  221.    wt: 6:   7 Translations Rotations Reflections Dilatations
  222.    wt: 6:   6 Geometric Diagrams in Class
  223.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  224.    wt: 6:   4 Similarity Definition with Coordinate
  225.    wt: 6:   3 Similarity by Design with coordinates
  226.    wt: 6:   10 One Example
  227.    wt: 6:   010 Repeated Addition of Time Intervals
  228.    wt: 5:   chapitre 07 01 principle D induction mathematique
  229.    wt: 5:   chapitre 04 09 Regles accidentelles
  230.    wt: 5:   chapitre 04 08 Limitations et benefices
  231.    wt: 5:   chapitre 04 07 RepetablesEtReproductibles
  232.    wt: 5:   chapitre 04 06 engagements
  233.    wt: 5:   chapitre 04 05 Implication versus suggestion
  234.    wt: 5:   chapitre 04 04 Parlons de la logique
  235.    wt: 5:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  236.    wt: 5:   chapitre 04 02 Deuxieme enigme
  237.    wt: 5:   chapitre 04 01 Premiere enigme
  238.    wt: 5:   chapitre 03 A Propos Des Prochains Chapitre
  239.    wt: 5:   A Quadratics Summary
  240.    wt: 5:   8 quadratics backward use of various formulas
  241.    wt: 5:   6 Equations and Systems Equivalent or Implied
  242.    wt: 5:   14 GCD of 650 110 via Primes LCM via Product Rule
  243.    wt: 5:   11 GCD 2700 288 via Euclid Algorithm
  244.    wt: 5:   10 Euclid Algorithm with 129 125 and with 45 14
  245.    wt: 5:   9 GCD of 360 110 via Primes and Euclid Algorithm
  246.    wt: 5:   4 LCM of 8 and 10 via Prime
  247.    wt: 5:   12 GCD 2700 288 via Prime
  248.    wt: 5:   10 Integer Multiplication Formulas
  249.    wt: 5:   10 Division by Five Long and Short Ways
  250.    wt: 5:   016 Numbering Occidental Calendar Days
  251.    wt: 5:   015 School and work day counting tables
  252.    wt: 5:   014 Counting Days with Calendars
  253.    wt: 5:   013 Travel Time Tables
  254.    wt: 5:   012 Division of Time Intervals by Time Intervals
  255.    wt: 5:   011 Division of Time Intervals By Numbers
  256.    wt: 5:   9 Comparison and Subtraction of Time Intervals
  257.    wt: 5:   8 Addition of Time Intervals via subtotaling
  258.    wt: 5:   7 Addition of Time Intervals
  259.    wt: 5:   6 How long is a million seconds
  260.    wt: 5:   5 Conversion Arithmetic
  261.    wt: 5:   4 Mixing and Changing Units of Time
  262.    wt: 5:   3 Units and Lengths of Time
  263.    wt: 5:   2 Time and Date Matters in School
  264.    wt: 5:   1 Intro of Kids To Time Date Skills
  265.    wt: 5:   Summary
  266.    wt: 4:   10 statistics
  267.    wt: 4:   Postscript 2007 01 10
  268.    wt: 4:   Maps Plans Drawings
  269.    wt: 4:   cultivating intelligence
  270.    wt: 4:   10 Ends values for work study instruction
  271.    wt: 4:   Ages 10 to 12 Geometry
  272.    wt: 4:   Ages 10 to 12 Arithmetic
  273.    wt: 4:   10 quadratic exercises
  274.    wt: 4:   9 quadratics physical and further context
  275.    wt: 4:   6 quadratics numerical approach
  276.    wt: 4:   5 quadratics completing the square
  277.    wt: 4:   4 quadratics difference of two squares
  278.    wt: 4:   3 quadratics factoring by inspection
  279.    wt: 4:   2 quadratics graphing in general
  280.    wt: 4:   1 quadratics graphing exercises
  281.    wt: 4:   5 Areas of Rectangles Revisited
  282.    wt: 4:   4 Fraction Operations Axiomatic Development
  283.    wt: 4:   3 Inequalities Algebraically
  284.    wt: 4:   2 Fraction Operations Physical Development
  285.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  286.    wt: 4:   4 Rectangle Area and Like Formulas Backwards
  287.    wt: 4:   5 Equality in Algebra
  288.    wt: 4:   4 Subtraction and Division Axioms
  289.    wt: 4:   3 Product Axioms Two Forms
  290.    wt: 4:   2 Addition and Multiplication Axioms
  291.    wt: 4:   1 Equivalent Computation Rules
  292.    wt: 4:   8 Coordinates for Maps and Planes
  293.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  294.    wt: 4:   4 GE III Animated Examples
  295.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  296.    wt: 4:   3 GE III Equation Addition and Multiplication
  297.    wt: 4:   2 GE II Comparison
  298.    wt: 4:   1 GE Substitution four examples
  299.    wt: 4:   4 Solving a triangular system exercise
  300.    wt: 4:   3 Solving triangular system example
  301.    wt: 4:   2 Essentially one exercises three with solution
  302.    wt: 4:   1 Essentially One Unknown
  303.    wt: 4:   6 Algebraic Solution Example
  304.    wt: 4:   5 Algebraic Solutions Introduction
  305.    wt: 4:   4 Four Examples Fractional Coefficients
  306.    wt: 4:   3 Four Examples
  307.    wt: 4:   2 Three Examples
  308.    wt: 4:   1 Proper Equal Sign Usage
  309.    wt: 4:   Skill Development Notes
  310.    wt: 4:   9 Three Examples
  311.    wt: 4:   8 One Example
  312.    wt: 4:   7 Two Examples
  313.    wt: 4:   6 Three Examples
  314.    wt: 4:   5 Three Examples
  315.    wt: 4:   4 Two Examples
  316.    wt: 4:   3 Two Examples
  317.    wt: 4:   2 Three Examples
  318.    wt: 4:   Formula Usage Show Work Format
  319.    wt: 4:   13 GCD from given Prime Factorization
  320.    wt: 4:   8 GCD from Euclidean Algorithm
  321.    wt: 4:   7 GCD and LCM from prime factorization
  322.    wt: 4:   6 GCD from Prime
  323.    wt: 4:   1 Least Common Multiples LCM Introduction
  324.    wt: 4:   10 video Prime Factorization upto 23 squared
  325.    wt: 4:   D Decimal Multiplication Methods Derived
  326.    wt: 4:   38 Formulas and derivatives for powers and roots
  327.    wt: 4:   10 Three one sided limits with infinite values
  328.    wt: 4:   1 Numerical introduction
  329.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  330.    wt: 3:   What is POMME
  331.    wt: 3:   which way to go
  332.    wt: 3:   website reviews
  333.    wt: 3:   Applied Maths Program14092009 POMME variant
  334.    wt: 3:   activities for students
  335.    wt: 3:   links Education Resources online
  336.    wt: 3:   About site lesson plans
  337.    wt: 3:   key notes and themes
  338.    wt: 3:   Mathematics Education Professors
  339.    wt: 3:   teacher certification
  340.    wt: 3:   grouping students according to ability
  341.    wt: 3:   what should be learnt and When
  342.    wt: 3:   Secondary Three Mathematics
  343.    wt: 3:   Secondary Two Mathematics
  344.    wt: 3:   05 13 OldSiteEntrancePage
  345.    wt: 3:   04 29 New Mathematics Curriculum
  346.    wt: 3:   04 25 when to stop or suspend mathemat
  347.    wt: 3:   02 21 words for teachers
  348.    wt: 3:   02 20 mathematics education references
  349.    wt: 3:   three aims for mathematics students
  350.    wt: 3:   standards for course material
  351.    wt: 3:   Operational Viewpoint to Value
  352.    wt: 3:   formal or informal peer review
  353.    wt: 3:   Theory of Knowledge
  354.    wt: 3:   mathematics instruction in general
  355.    wt: 3:   Education in mathematics science and technology
  356.    wt: 3:   Different Kinds of Reasoning in maths
  357.    wt: 3:   three kinds of reason in mathematics
  358.    wt: 3:   Four ways to improve education reform
  359.    wt: 3:   How to be a better instructor
  360.    wt: 3:   Motivation and Context Problem
  361.    wt: 3:   need for a mixed mathematics curriculum
  362.    wt: 3:   Leaner mathematics curriculum
  363.    wt: 3:   Prequel In For A Penny In For A Pound
  364.    wt: 3:   education an empirical art
  365.    wt: 3:   fairness and inductive principles for instruction
  366.    wt: 3:   words for mathematics instructor
  367.    wt: 3:   A Circuit Elements
  368.    wt: 3:   Ages 9 to 10
  369.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  370.    wt: 3:   10 Interval Notation
  371.    wt: 3:   1 Geometric Introduction of Function Notation
  372.    wt: 3:   Introduction Reading Guide
  373.    wt: 3:   7 quadratic formulla derivation
  374.    wt: 3:   10 Exponential Growth and Decay Models
  375.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  376.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  377.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  378.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  379.    wt: 3:   1 Calculator Starter Exercises
  380.    wt: 3:   19 Signed Multiples of Vectors
  381.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  382.    wt: 3:   13 Arrows and Vectors in a Plane
  383.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  384.    wt: 3:   9 Division with Digits after Decimal Point
  385.    wt: 3:   8 Division and Mulplication of Compound Fractions
  386.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  387.    wt: 3:   6 Infinite Decimals Ending in 9 repeating
  388.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  389.    wt: 3:   4 Location of Point in Decimal Addition
  390.    wt: 3:   3 Location of Point in Decimal Multiplication
  391.    wt: 3:   2 Counting Digits in Decimal Multiplication
  392.    wt: 3:   1 Fractions with Finite Decimal Expansions
  393.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  394.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  395.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  396.    wt: 3:   6 Compound Interest Forward and Backwards
  397.    wt: 3:   5 Triangle Area Formula Backwards
  398.    wt: 3:   3 Linear Equation Literal Solution More
  399.    wt: 3:   2 Linear Equation Literal Solution
  400.    wt: 3:   1 Changing Calculations
  401.    wt: 3:   5 Greater More Less Than Signs in General
  402.    wt: 3:   4 Comparison of Negative Numbers
  403.    wt: 3:   3 More and Less Than with Unlike Signs
  404.    wt: 3:   2 More and Less Than for Counts and Measures
  405.    wt: 3:   1 Real Numbers Comparison
  406.    wt: 3:   10 Real Number Lengths and Signs
  407.    wt: 3:   9 Coordinates for Regions in Space
  408.    wt: 3:   7 Real Numbers as Line Cordinates
  409.    wt: 3:   6 Unsigned Real Numbers
  410.    wt: 3:   5 Rational Numbers More
  411.    wt: 3:   4 Rational Numbers
  412.    wt: 3:   3 Fractions
  413.    wt: 3:   2 Integers
  414.    wt: 3:   1 Whole and Natural Numbers
  415.    wt: 3:   3 Geometric Formulas and Function Notation
  416.    wt: 3:   1 Formulas Dependence and Function Notation
  417.    wt: 3:   More Exercises
  418.    wt: 3:   Using Letters for Physical Quantities
  419.    wt: 3:   13 Naming Identifying Formulas with Words
  420.    wt: 3:   10 Volume of Pyramid
  421.    wt: 3:   9 Volume of Cone
  422.    wt: 3:   8 Compound Interest Formula Evaluation
  423.    wt: 3:   7 Compound Interest Formula Introduction
  424.    wt: 3:   6 Pythagorean Hypotenuse Calculation Example
  425.    wt: 3:   5 Box Volume Formula Example
  426.    wt: 3:   4 Circle Area Formula Example
  427.    wt: 3:   3 Triangle Area Formula Example
  428.    wt: 3:   2 Another Rectangle Area Formula Example
  429.    wt: 3:   1 Written work formats for developing and showing skill
  430.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  431.    wt: 3:   9 Sets in Probability and Statistics
  432.    wt: 3:   8 Sets of Numbers
  433.    wt: 3:   7 Cautious or Safe Set Construction
  434.    wt: 3:   6 Power Set Notation
  435.    wt: 3:   5 Product Builder Notation
  436.    wt: 3:   4 Subset Builder Notation
  437.    wt: 3:   3 Counting with Sets etc
  438.    wt: 3:   2 Venn Diagrams
  439.    wt: 3:   1 Finite Sets
  440.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  441.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  442.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  443.    wt: 3:   5 Common Divisors 60 45 via Prime
  444.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  445.    wt: 3:   2 Least Common Multiple LCM intro via list method
  446.    wt: 3:   10 dividing signed numbers
  447.    wt: 3:   3 signed coordinates for maps and planes
  448.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  449.    wt: 3:   11 Adding Integers Formulas and Examples
  450.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  451.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  452.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  453.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  454.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  455.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  456.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  457.    wt: 3:   1 Remainder Arithmetic Modulo 10
  458.    wt: 3:   12 Why Long Division Works Take III
  459.    wt: 3:   11 Another Single Digit Divisor Example
  460.    wt: 3:   9 Why Long Division Works Take II
  461.    wt: 3:   8 Correcting the Mistake
  462.    wt: 3:   7 Long Divison Mistake Catching
  463.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  464.    wt: 3:   5 Long Division Include Zeroes or not
  465.    wt: 3:   4 Division with 2 Digit Divsors
  466.    wt: 3:   3 Division Single Digit Divisor Example
  467.    wt: 3:   2 Division with Single Digit Divisors
  468.    wt: 3:   1 Divsion Physical Examples
  469.    wt: 3:   C Counting Areas with Powers of Ten
  470.    wt: 3:   B Powers of Ten
  471.    wt: 3:   A Elementary Basis for Multiplication Methods
  472.    wt: 3:   6 Multiplication Commutes Order Not Important
  473.    wt: 3:   5 Decimal Fraction Multiplication
  474.    wt: 3:   4 Two and Three Digit Multipliers
  475.    wt: 3:   3 More One Digit Multipliers
  476.    wt: 3:   2 One Digit Multipliers
  477.    wt: 3:   1 Why 3 times 5 gives 15
  478.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  479.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  480.    wt: 3:   9 22 Minute Subtraction Review Video
  481.    wt: 3:   8 Subtraction with Units of Measure
  482.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  483.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  484.    wt: 3:   5 A Tip for Efficent Subtraction
  485.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  486.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  487.    wt: 3:   2 Subtraction Easy Case Examples
  488.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  489.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  490.    wt: 3:   8 What skills and work habits to require
  491.    wt: 3:   7 Adding decimal fractions using decimal point
  492.    wt: 3:   6. Counting and adding units and mixed units
  493.    wt: 3:   5. How to add decimals C. Examples
  494.    wt: 3:   4. How to add with decimals B with conversions
  495.    wt: 3:   3. How to add with decimals A sans conversions
  496.    wt: 3:   2 Decimal Counting Practices
  497.    wt: 3:   1. Explaining Addition Table
  498.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  499.    wt: 3:   1 Place Value in Three Digit Whole Numbers
  500.    wt: 3:   Example 2 volume of a cone
  501.    wt: 3:   Volume of Solid by Cross Sections Lesson
  502.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  503.    wt: 3:   Area Between Crossing Curves Lesson Take 1
  504.    wt: 3:   Example 2
  505.    wt: 3:   Example 1
  506.    wt: 3:   Area Between Curves Lesson Take 1
  507.    wt: 3:   5 Area Under Curve Exercise
  508.    wt: 3:   4 Definite Integrals Evaluation Exercises
  509.    wt: 3:   3 Two Chain Rule Method Exercises
  510.    wt: 3:   2 Indefinite Integrals Exercises
  511.    wt: 3:   1 Chain Rule in Reverse Integration Method
  512.    wt: 3:   4 Second derivative test exercise example
  513.    wt: 3:   3 Second derivative test
  514.    wt: 3:   2 Second derivative test prequel
  515.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  516.    wt: 3:   36 Cube root derivative animated
  517.    wt: 3:   29 Chain Rule Optional Reading
  518.    wt: 3:   28 Chain Rule Preparation for a Proof
  519.    wt: 3:   19 Chain Rule for linear functions
  520.    wt: 3:   18 Chain Rule Introduction
  521.    wt: 3:   15 sine and cosine derivatives 3rd step
  522.    wt: 3:   12 Quotient rule examples
  523.    wt: 3:   10 Power rule for negative integers
  524.    wt: 3:   3 Motivation for Limit Definition Take 2
  525.    wt: 3:   2 Motivation for Limit Definition Take 1
  526.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  527.    wt: 3:   9 Limits Continuity and Composition
  528.    wt: 3:   8 Four Animated Examples
  529.    wt: 3:   7 Evaluation by immediate or delayed substitution
  530.    wt: 3:   6 Continuity at a point
  531.    wt: 3:   5 Jumps and absence of unlimited error control
  532.    wt: 3:   4 Numerical properties
  533.    wt: 3:   3 Decimal insights for limits continuity convergence
  534.    wt: 3:   2 Algebraic codification
  535.    wt: 3:   Chapter 10 Describing and Changing Calculations
  536.    wt: 3:   J. More on written work and showing skill
  537.    wt: 3:   How to Build Skills and Confidence
  538.    wt: 2:   Appendix 2 primary school Arithmetic 01
  539.    wt: 2:   Appendix 1 primary and preschool mathematic
  540.    wt: 2:   K LAMP Musings Science Education
  541.    wt: 2:   J LAMP Introduction Extrinsic Origins
  542.    wt: 2:   I LAMP Introduction Study Habits
  543.    wt: 2:   H LAMP Introduction Instructional Concepts
  544.    wt: 2:   G LAMP Introduction Problem Solving Skills
  545.    wt: 2:   F LAMP Introduction Prerequisites
  546.    wt: 2:   E LAMP Introduction Modern Mathematics
  547.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  548.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  549.    wt: 2:   A Introduction Objectives
  550.    wt: 2:   Skills Chapter 1 Arithmetic
  551.    wt: 2:   Skills Chapter 0 Introduction
  552.    wt: 2:   11 pure mathematics
  553.    wt: 2:   9 combinatorics probability sets
  554.    wt: 2:   8 analytic geometry etc
  555.    wt: 2:   7 logic review and decimals an odd combination
  556.    wt: 2:   6 polynomials etc
  557.    wt: 2:   5 logarithms and exponentials etc
  558.    wt: 2:   4 algebra
  559.    wt: 2:   3 Euclidean Geometry Leanly
  560.    wt: 2:   2 arithmetic with signed numbers
  561.    wt: 2:   1 arithmetic with unsigned numbers
  562.    wt: 2:   why bother
  563.    wt: 2:   three goals to set for students
  564.    wt: 2:   Teach the teachers plus goals
  565.    wt: 2:   permissions for teachers
  566.    wt: 2:   Math Ed if it must be short make it lean effective
  567.    wt: 2:   site origins
  568.    wt: 2:   site eurekas
  569.    wt: 2:   modern education
  570.    wt: 2:   learning takes time
  571.    wt: 2:   mathematics in context
  572.    wt: 2:   Education Reform Inconsistencies
  573.    wt: 2:   five decades make a difference
  574.    wt: 2:   how letters appear
  575.    wt: 2:   Secondary One Mathematics
  576.    wt: 2:   talk the algebra talk
  577.    wt: 2:   three difficulties
  578.    wt: 2:   teaching tips
  579.    wt: 2:   What to Tell Students
  580.    wt: 2:   mathematics curriculum shifts
  581.    wt: 2:   geometric implications for algebra
  582.    wt: 2:   teaching tutoring algebraic reason
  583.    wt: 2:   Lessening Algebra Difficulties
  584.    wt: 2:   the trouble with algebra
  585.    wt: 2:   three goals for Mathematics Education
  586.    wt: 2:   liens
  587.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  588.    wt: 2:   problemes responses
  589.    wt: 2:   problemes algebre et arithmetique
  590.    wt: 2:   Trois Notions qui menent a algebre
  591.    wt: 2:   deux definitions pour variable
  592.    wt: 2:   logique deux enigme
  593.    wt: 2:   A Energy Power01
  594.    wt: 2:   2 Conductance Resistance Duality02
  595.    wt: 2:   2 Unlike resistors in parallel01
  596.    wt: 2:   1 Like resistors in series
  597.    wt: 2:   H Series Circuit02
  598.    wt: 2:   G Series Circuit01
  599.    wt: 2:   F Unlike Resistors in Series
  600.    wt: 2:   E Kirchoffs Second Law
  601.    wt: 2:   D Kirchoff First Law
  602.    wt: 2:   C Electromotive force conventional current02
  603.    wt: 2:   B Electromotive force conventional current01
  604.    wt: 2:   Home Tutoring and Home Schooling
  605.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  606.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  607.    wt: 2:   24 Standards For Skill Develoment Take II
  608.    wt: 2:   24 Standards For Skill Develoment
  609.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  610.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  611.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  612.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  613.    wt: 2:   22 Student Centered Highschool Mathematics
  614.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  615.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  616.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  617.    wt: 2:   18 Primary School Mathematics
  618.    wt: 2:   17 Math Booklets for children and young teenagers
  619.    wt: 2:   16 Secondary Mathematics Tips
  620.    wt: 2:   15 Counting For Parents
  621.    wt: 2:   14 Multiplication and Times Tables
  622.    wt: 2:   13 Addition and Addition Tables
  623.    wt: 2:   12 Goals and Objectives For Mathematics
  624.    wt: 2:   11 Help and Defend Your Child or Teens Education
  625.    wt: 2:   9 Streaming by Student Cooperation
  626.    wt: 2:   8 The Effect of Negative Remarks
  627.    wt: 2:   7 Student Motivation
  628.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  629.    wt: 2:   5 Patience Please for Yourself and Your Charges
  630.    wt: 2:   4 Learning Takes Time and Effort
  631.    wt: 2:   3 Preparing for Science Studies
  632.    wt: 2:   2 Reading and Writing Skills
  633.    wt: 2:   1 Speaking Skills
  634.    wt: 2:   Ages 12 to 14 Skills with take home value
  635.    wt: 2:   Ages 12 to 14 Geometry
  636.    wt: 2:   Ages 12 to 14 Arithmetic
  637.    wt: 2:   Ages 8 to 9
  638.    wt: 2:   Ages 7 to 8
  639.    wt: 2:   Ages 6 to 7
  640.    wt: 2:   Ages 4 plus to 5 plus
  641.    wt: 2:   Ages 3 plus to 4 plus
  642.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  643.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  644.    wt: 2:   sign monoticity analysis example 4
  645.    wt: 2:   sign monoticity analysis example 3
  646.    wt: 2:   sign monoticity analysis example 2
  647.    wt: 2:   sign monoticity analysis example 1
  648.    wt: 2:   20 Interchanging coordinates a reflection
  649.    wt: 2:   11 Function Domain Range Source and Targets
  650.    wt: 2:   9 Set theory term relation possible origins
  651.    wt: 2:   8 Set view of relations and functions
  652.    wt: 2:   7 Functions with finite domains
  653.    wt: 2:   6 Set Existence Formation and Notation
  654.    wt: 2:   5 Function notation for geometric transformations
  655.    wt: 2:   4 Function notation in and beyond mathematics
  656.    wt: 2:   3 Formula or function graphing exercise
  657.    wt: 2:   2 Algebraic use of function notation
  658.    wt: 2:   11 Growth and Decay in Biology
  659.    wt: 2:   5 Natural Logarithm Calculator Exercises
  660.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  661.    wt: 2:   2 Square Root Simplification a prequel
  662.    wt: 2:   Rewriting algebraic substitution as function substitutions
  663.    wt: 2:   A Modular and Remainder Arithmetic
  664.    wt: 2:   A Signed Number Arithmetic Review
  665.    wt: 2:   26 More Less Greater Than Comparison
  666.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  667.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  668.    wt: 2:   23 Distributive Law Two Derivations
  669.    wt: 2:   22 Multiplication of Signed Numbers
  670.    wt: 2:   21 Addition of Multiples of a Single Vector
  671.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  672.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  673.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  674.    wt: 2:   15 Head to Tails in place Addition Associative
  675.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  676.    wt: 2:   12 Real Numbers Line Signed Coordinates
  677.    wt: 2:   11 Signed Number Addition and Addition Properties
  678.    wt: 2:   E Long Division Methods more
  679.    wt: 2:   D Long Division Methods
  680.    wt: 2:   C Three Decimal Subtraction Methods
  681.    wt: 2:   B Decimal Comparison and Subtraction
  682.    wt: 2:   A Decimal Addition Columm Methods
  683.    wt: 2:   8 Column Multiplication Methods in General
  684.    wt: 2:   7 Decimals Multiplication Methods Examples
  685.    wt: 2:   6 Column Methods for Decimal Multiplication
  686.    wt: 2:   5 Distributive Law for Whole Numbers
  687.    wt: 2:   4 Commutative Law Groups Counting Form
  688.    wt: 2:   3 Multiplicative Counting Skills Principles
  689.    wt: 2:   2 Combing Counts Addition Skills and Principles
  690.    wt: 2:   1 The Counting Origins of Numbers
  691.    wt: 2:   5 Proportionality in Equivalent Fractions
  692.    wt: 2:   4 Rates Ratios and Proporitionality
  693.    wt: 2:   3 Proportionality Examples
  694.    wt: 2:   2 Algebraic View
  695.    wt: 2:   1 What is Proportionality
  696.    wt: 2:   16 Real Numbers Comparison
  697.    wt: 2:   15 Real Number Division
  698.    wt: 2:   14 Real Number Multiplication
  699.    wt: 2:   13 Real Number Subtraction
  700.    wt: 2:   12 Real Number Additive Inverses or Negatives
  701.    wt: 2:   11 Real Number Addition
  702.    wt: 2:   5 Independent versus Dependent Variables
  703.    wt: 2:   4 Changing Letters
  704.    wt: 2:   2 Computation Rules Evaluation
  705.    wt: 2:   Simple Exercises
  706.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  707.    wt: 2:   11 Volume of Sphere
  708.    wt: 2:   About Folder Contents
  709.    wt: 2:   4 Greater More Less Than Signs in General
  710.    wt: 2:   3 Comparison of Negative Numbers
  711.    wt: 2:   2 More and Less Than with Unlike Signs
  712.    wt: 2:   1 More and Less Than for Counts and Measures
  713.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  714.    wt: 2:   4 Counting with Trees Product Rule Take I
  715.    wt: 2:   3 Counting with Tables and Trees II
  716.    wt: 2:   2 Counting with Tables and Trees I
  717.    wt: 2:   1 Counting and Counting Methods I
  718.    wt: 2:   11 What are real lengths and numbers
  719.    wt: 2:   9 subtracting signed numbers
  720.    wt: 2:   8 multiplying signed numbers
  721.    wt: 2:   7 negative and additive inverse
  722.    wt: 2:   6 adding signed numbers
  723.    wt: 2:   5 lengths and signs of numbers
  724.    wt: 2:   4 signed coordinates for regions in space
  725.    wt: 2:   2 signed and unsigned numbers as coordinates
  726.    wt: 2:   D Three Term Ratios
  727.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  728.    wt: 2:   B Fractions and Two Term Ratios
  729.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  730.    wt: 2:   17 Efficient Ways to Add and Subtract
  731.    wt: 2:   16 Addition Subtraction Comparision Compared
  732.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  733.    wt: 2:   14 Adding and Subtracting with Like Denominators
  734.    wt: 2:   13 Fraction Comparison Algebraic View
  735.    wt: 2:   12 Fraction Comparison
  736.    wt: 2:   11 Simplification an Algebraic View
  737.    wt: 2:   9 Improper Fractions and Mixed Numbers
  738.    wt: 2:   8 Numerals Fractionals Quantals Take II
  739.    wt: 2:   7 Numerals Fractionals Quantals
  740.    wt: 2:   6 Multiplication of Mixed Numbers
  741.    wt: 2:   6 Multiplication Algebraically Take II
  742.    wt: 2:   5 Equivalent Fractions
  743.    wt: 2:   4 Fraction Multiplication
  744.    wt: 2:   3 Unit fraction of a fraction
  745.    wt: 2:   2 Unit Fraction Multiplication
  746.    wt: 2:   1 What is a fraction Take II
  747.    wt: 2:   1 What is a fraction
  748.    wt: 2:   D Remainders Modulo 11 Pair Rule
  749.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  750.    wt: 2:   B Integer Long Division Multiple Choices
  751.    wt: 2:   A Associative Law Theorectical Note
  752.    wt: 2:   13 Subtraction with Additive Inverse
  753.    wt: 2:   12 Adding Integers More Examples
  754.    wt: 2:   9 Multiplying Integers
  755.    wt: 2:   8 Multiplication by Signed Numbers Integers
  756.    wt: 2:   7 Multiplication by Signs
  757.    wt: 2:   6 Multiplication by Natural Numbers
  758.    wt: 2:   5 Zero Movement and Additive Inverses
  759.    wt: 2:   4 Adding Movements wiht opposite directions
  760.    wt: 2:   3 Adding Movements with same direction
  761.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  762.    wt: 2:   1 Integers as Coordinates
  763.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  764.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  765.    wt: 2:   26 Divisibility by 2 3 5 Example
  766.    wt: 2:   23 Remainder Arithmetic Modulo 2
  767.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  768.    wt: 2:   21 Remainder Arithmetic Modulo 3
  769.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  770.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  771.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  772.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  773.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  774.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  775.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  776.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  777.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  778.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  779.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  780.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  781.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  782.    wt: 2:   5 Remainder Arithmetic Modulo 5
  783.    wt: 2:   20 Uniqueness of Prime Factorization
  784.    wt: 2:   19 video Prime Factorization Unique
  785.    wt: 2:   18 video Count Factors given Prime Factorization
  786.    wt: 2:   17 Identify and Count Factors using Primes
  787.    wt: 2:   16 video Factors of 980 using prime
  788.    wt: 2:   15 video Factors of 20 using Prime Factorization
  789.    wt: 2:   14 video Factors of 24 Take II
  790.    wt: 2:   13 video Factors of 24 using prime
  791.    wt: 2:   12 LCD GCD and LCM using Primes
  792.    wt: 2:   11 Efficient Square Rule Use
  793.    wt: 2:   9 video Prime Factorization upto 19 squared
  794.    wt: 2:   8 video Prime Factorization upto 19
  795.    wt: 2:   7 Calculator Usage Notes and Cautions
  796.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  797.    wt: 2:   5 Prime Factorization and a Square Rule
  798.    wt: 2:   4 video Prime Factorization Introduction
  799.    wt: 2:   3 video Primes and Composites from 9 times table
  800.    wt: 2:   2 Prime and Composites less than 16
  801.    wt: 2:   1 video how Products are bigger than factor
  802.    wt: 2:   Long Division Backwards more
  803.    wt: 2:   Long Division Backward
  804.    wt: 2:   Division with Counts and Length
  805.    wt: 2:   Long Division forwards and backwards Example 3
  806.    wt: 2:   Long Division forwards and backwards Example 2
  807.    wt: 2:   Long Division forwards and backwards Example 1
  808.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  809.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  810.    wt: 2:   Video Power Notation in Decimal Expansion
  811.    wt: 2:   Subtraction with J Conversions Example
  812.    wt: 2:   Subtraction Another Video Lesson
  813.    wt: 2:   11 Place Value SI Standard International way
  814.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  815.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  816.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  817.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  818.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  819.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  820.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  821.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  822.    wt: 2:   About folder contents
  823.    wt: 2:   Example 1 volume of a pyramid
  824.    wt: 2:   Example 1. Area Between x and x squared
  825.    wt: 2:   Example 4 with x function of y
  826.    wt: 2:   Example 3
  827.    wt: 2:   Area Between Curves Lesson Take 2
  828.    wt: 2:   A Related Material in Volume 3
  829.    wt: 2:   A Related lessons in Volume 3
  830.    wt: 2:   A Chain Rule Real Player video examples
  831.    wt: 2:   34 Derivative of exponential function
  832.    wt: 2:   33 Chain Rule Real Player video examples
  833.    wt: 2:   31 Derivatives of inverse functions
  834.    wt: 2:   30Chain Rule A Proof
  835.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  836.    wt: 2:   26 Chain Rule Recognising outer inner functions
  837.    wt: 2:   25 Chain Rule Animated Examples Continued
  838.    wt: 2:   24 Chain Rule Animated Examples
  839.    wt: 2:   23 Chain Rule in general
  840.    wt: 2:   22 Chain Rule for polynomials
  841.    wt: 2:   21 Chain Rule for powers
  842.    wt: 2:   20 Chain Rule for Pulley Systems
  843.    wt: 2:   17 Derivatives of quotients of sine and cosine
  844.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  845.    wt: 2:   14 sine and cosine derivatives 2nd step
  846.    wt: 2:   13 sine and cosine derivatives 1st step
  847.    wt: 2:   11 Quotient rule
  848.    wt: 2:   9 Reciprocal rule
  849.    wt: 2:   8 Differentiation of polynomials
  850.    wt: 2:   7 Animated Differentiation Examples
  851.    wt: 2:   6 Power rule from product rule
  852.    wt: 2:   5 Product Rule
  853.    wt: 2:   4 Sum Rule
  854.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  855.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  856.    wt: 2:   11 Limits at infinity Three Examples
  857.    wt: 2:   F.2 Closed Range Theorem
  858.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  859.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  860.    wt: 2:   Chapter 10 Slopes and Units
  861.    wt: 2:   Foreword
  862.    wt: 2:   Chapter 15. Solving Linear Equations
  863.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  864.    wt: 2:   Foreword
  865.    wt: 2:   Chapter 10 Transition
  866.    wt: 2:   Chapter 10 Responsibility
  867.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  868.    wt: 2:   S Adding words to algebra
  869.    wt: 2:   R Why Learn Mathematics Skills
  870.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  871.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  872.    wt: 2:   O On Learning Mathematics and Science
  873.    wt: 2:   N Mathematics Prepare for College Studies
  874.    wt: 2:   M Words to extend arithmetic
  875.    wt: 2:   L Skills with take home value
  876.    wt: 2:   N Improving Marks on Tests and Finals
  877.    wt: 2:   I. Logic and language skills
  878.    wt: 2:   H Jigsaw puzzles and problem solving
  879.    wt: 2:   G. Written work formats for developing and showing skill
  880.    wt: 2:   F. The student teacher tutor feedback loop
  881.    wt: 2:   E. When and how to correct errors
  882.    wt: 2:   D. Check work a must with a caution
  883.    wt: 2:   C. Domino effect of being careful
  884.    wt: 2:   B. Domino effect of errors
  885.    wt: 2:   A. Skill has to be seen to believed
  886.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  887.    wt: 2:   Chapter 8 Skipped Topics and Why
  888.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  889.    wt: 2:   Chapter 6 More Algebra and Geometry
  890.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  891.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  892.    wt: 2:   Chapter 3 Algebra Starter Lessons
  893.    wt: 2:   Chapter 2 Why Sets
  894.    wt: 2:   Chapter 1 Arithmetic
  895.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  896.    wt: 2:   7 Games and Activities for Instruction
  897.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  898.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  899.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  900.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  901.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  902.    wt: 1:   Skills Chapter 5 Calculus
  903.    wt: 1:   Skills Chapter 4 Logic
  904.    wt: 1:   Ramblings Extrinsic numbers theory
  905.    wt: 1:   Ramblings Introduction Algebra Essay
  906.    wt: 1:   Skills Chapter 3 Algebra
  907.    wt: 1:   Skills Chapter 2 Geometry
  908.    wt: 1:   4 Energy Power Heat09
  909.    wt: 1:   3 Energy Power Heat08
  910.    wt: 1:   2 Energy Power Heat07
  911.    wt: 1:   1 Energy Power Heat06
  912.    wt: 1:   E Energy Power05
  913.    wt: 1:   D Energy Power04
  914.    wt: 1:   C Energy Power03
  915.    wt: 1:   B Energy Power02
  916.    wt: 1:   1 Conductance Resistance Duality01
  917.    wt: 1:   F Wire Resistance Calculation04
  918.    wt: 1:   E Wire Resistance Calculation03
  919.    wt: 1:   D Wire Resistance Calculation02
  920.    wt: 1:   C Wire Resistance Calculation01
  921.    wt: 1:   B Wire Resistance Qualitative02
  922.    wt: 1:   A Wire Resistance Qualitative01
  923.    wt: 1:   3 Like resistors in parallel
  924.    wt: 1:   26 Function definitions done and coming
  925.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  926.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  927.    wt: 1:   23 Inverse Functions
  928.    wt: 1:   22 Square Root function graphically
  929.    wt: 1:   19 Horizontal line rule and method
  930.    wt: 1:   18 Vertical Line Rule and Method
  931.    wt: 1:   17 Function maxima minima and their location
  932.    wt: 1:   16 Increasing or decreasing on intervals
  933.    wt: 1:   15 Sign analysis of functions
  934.    wt: 1:   14 Surjections Injections Bijections
  935.    wt: 1:   13 From one to one to many to one
  936.    wt: 1:   12 Function Domain Recognition Exercises
  937.    wt: 1:   8 Notes for instructors or tutors
  938.    wt: 1:   7 Links Lessons Elsewhere
  939.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  940.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  941.    wt: 1:   4 Polynomials Long division linear divisor
  942.    wt: 1:   3 Polynomials Multiplication Addition
  943.    wt: 1:   2 Column Multiplication Method
  944.    wt: 1:   1 Polynomials Distributive Law
  945.    wt: 1:   musings do not puiblish real numbers
  946.    wt: 1:   6 Three Notions of What is a Variable
  947.    wt: 1:   5 Talking about Numbers and Quantities
  948.    wt: 1:   4 A Brief Story of numbers and algebra
  949.    wt: 1:   3 Adding Words To Arithmetic
  950.    wt: 1:   2 What is a Variable
  951.    wt: 1:   1 Three Skills For Algebra
  952.    wt: 1:   5 Square Roots with primes more still
  953.    wt: 1:   4 Square Roots with primes more
  954.    wt: 1:   3 Properties of Square Roots with example
  955.    wt: 1:   2 Square Roots with Prime
  956.    wt: 1:   1 Squares and Square Roots Introduction
  957.    wt: 1:   7 Converting or Changing Units
  958.    wt: 1:   6 Simplification of Fractions with Units
  959.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  960.    wt: 1:   4 Fractions with Units
  961.    wt: 1:   3 Multiplying Units and Numbers
  962.    wt: 1:   2 Equality and Units
  963.    wt: 1:   1 Addition and Subtraction with Units
  964.    wt: 1:   22 Complex Compound Fractions
  965.    wt: 1:   21 Working With Signs
  966.    wt: 1:   21 Reciprocals for Fractions and Wholes
  967.    wt: 1:   20 Dividing Fractions the Why
  968.    wt: 1:   19 Dividing Fractions How TO
  969.    wt: 1:   18 Efficient Ways to Multiply
  970.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  971.    wt: 1:   Quick history of numbers and algebra
  972.    wt: 1:   Exact Arithmetic Wholes and Fractions
  973.    wt: 1:   Formula Evaluation how to show work
  974.    wt: 1:   Expression Evaluation how to show work
  975.    wt: 1:   The 20 Times Table
  976.    wt: 1:   The 12 Times Table Visually
  977.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  978.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  979.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  980.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  981.    wt: 1:   G.5 Motions With Bounded Velocities
  982.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  983.    wt: 1:   G.3 Constant Difference Theorem Proof
  984.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  985.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  986.    wt: 1:   F.5b Extreme Value Theorem
  987.    wt: 1:   F.5a Equicontinuity Theorems
  988.    wt: 1:   F.4 Finite Covering Theorem
  989.    wt: 1:   F.3 Intermediate Value Theorem
  990.    wt: 1:   F.1 What Functions are Continuous
  991.    wt: 1:   E2 Algebraic Properties of Limits
  992.    wt: 1:   E1 Error Control Inequalities
  993.    wt: 1:   D2 Limits of Monotone Sequences
  994.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  995.    wt: 1:   C Triangle Inequalities
  996.    wt: 1:   B3 Bolzano Weierstrass Theorem
  997.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  998.    wt: 1:   PostScript For and Against Decimal Perspectives
  999.    wt: 1:   A1. Introduction
  1000.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  1001.    wt: 1:   Chapter 23 Links To Trigonometry
  1002.    wt: 1:   Chapter 21 Arrow Addition
  1003.    wt: 1:   Chapter 11. Graphing Slope versus Position
  1004.    wt: 1:   Chapter 1.Introduction
  1005.    wt: 1:   Fall 1983 Calculus Appetizer
  1006.    wt: 1:   Postscript More on Better Performance
  1007.    wt: 1:   Postscript For Better Performance
  1008.    wt: 1:   Appendix E. How To Study Mathematics and Why
  1009.    wt: 1:   Appendix D. What to do in School and Why
  1010.    wt: 1:   Appendix C. How to Read
  1011.    wt: 1:   Appendix B. How To Learn
  1012.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  1013.    wt: 1:   Chapter 31 Direct and Indirect Reason
  1014.    wt: 1:   Chapter 30 Truth Tables
  1015.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  1016.    wt: 1:   Chapter 28 Occurrence Tables
  1017.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  1018.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  1019.    wt: 1:   Chapter 25. Mathematical Induction Examples
  1020.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  1021.    wt: 1:   Chapter 23. Notation For Sums
  1022.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  1023.    wt: 1:   Chapter 21. Third Reading Guide
  1024.    wt: 1:   Chapter 20. Degrees and Radians
  1025.    wt: 1:   Chapter 19. Functions and Sets
  1026.    wt: 1:   Chapter 18. Rules for Algebra
  1027.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  1028.    wt: 1:   Chapter 16. Painless Theorem Proving
  1029.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  1030.    wt: 1:   Chapter 13. Second Reading Guide
  1031.    wt: 1:   Chapter 12. Shorthand Usage Guide
  1032.    wt: 1:   Chapter 11. Why Shorthand
  1033.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  1034.    wt: 1:   Chapter 8 Three Skills For Algebra
  1035.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  1036.    wt: 1:   Chapter 6 Change of Language
  1037.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  1038.    wt: 1:   Chapter 4 Longer Chains of Reason
  1039.    wt: 1:   Chapter 3 Chains of Reason
  1040.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  1041.    wt: 1:   Chapter 11 Elementary Instruction
  1042.    wt: 1:   Chapter 1 Introduction
  1043.    wt: 1:   Foreword
  1044.    wt: 1:   Chapter 21 Occurrence Tables
  1045.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  1046.    wt: 1:   Chapter 11 Accidental Patterns
  1047.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  1048.    wt: 1:   Chapter 1 Introduction
  1049.    wt: 1:   Three Remarks
  1050.    wt: 1:   Foreword
  1051.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  1052.    wt: 1:   H more Routine to non routine problem solving
  1053.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  1054.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  1055.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  1056.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  1057.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  1058.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  1059.    wt: 1:   Which Way To Go
  1060.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  1061.    wt: 1:   Road Safety Questions
  1062.    wt: 1:   The Math Forum and Site Content
  1063.    wt: 1:   Site Reviews
  1064.    wt: 12:   4 Angles on Maps Plans drawn to scale
  1065.    wt: 12:   3 Lengths and Areas on Maps and Plans
  1066.    wt: 11:   8 More Use of Maps Not Drawn to Scale
  1067.    wt: 11:   6 Figuring with Maps Not to Scale
  1068.    wt: 10:   10 Parallelogram Addition Method
  1069.    wt: 10:   Straight Lines Instersection Solving Equations
  1070.    wt: 10:   10 Graphs of sines and cosines many periods
  1071.    wt: 10:   Right Triangle and Unit Circle Trigonometry
  1072.    wt: 10:   10 sine cosine Angle Sum Formulas via cis
  1073.    wt: 10:   Why Trigonometry the whyslopes view
  1074.    wt: 10:   Right Triangle and Unit Circle Trigonometry
  1075.    wt: 10:   A Measurement with Ruler Proper Use
  1076.    wt: 10:   5 Drawing to Scale Avoids Angle Distortions
  1077.    wt: 10:   2 Measuring Area Directly
  1078.    wt: 10:   1 Length Measurement
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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