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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39 matches:

  1.    wt: 8:   1 Maps Plans Measurement/
  2.    wt: 7:   10 Intersecting Straight Lines and Transversals/
  3.    wt: 7:   7 Complex Numbers/
  4.    wt: 6:   13 Vectors/
  5.    wt: 6:   11 Parallel Straight Lines and Transversals/
  6.    wt: 6:   8 Unit Circle Trigonometry/
  7.    wt: 6:   6 Trigonometry first steps/
  8.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  9.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  10.    wt: 5:   12 Function Translating and Rescaling/
  11.    wt: 5:   9 Lines and Slopes Take 2 with tangent function/
  12.    wt: 5:   5 What is Similarity/
  13.    wt: 5:   4 Lines and Slopes Take 1/
  14.    wt: 5:   3 Cartesian and Polar Coordinates/
  15.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 3:   10 Examples of Algebraic Reasoning/
  18.    wt: 3:   10 LCM GCD and Euclid GCD Algorithm/
  19.    wt: 3:   13 Lessons on Limits and Continuity/
  20.    wt: 2:   7 Arithmetic and Fractions with Units/
  21.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  22.    wt: 2:   5 Lessons on Integration/
  23.    wt: 2:   4 Lessons on Using Derivatives/
  24.    wt: 2:   38 Lessons on Calculating Derivatives/
  25.    wt: 2:   70 Calculus Starter Lessons/
  26.    wt: 1:   Mathematics Education Essays/
  27.    wt: 1:   Volume 1A Regles et modeles/
  28.    wt: 1:   3 Quadratics Geometrically/
  29.    wt: 1:   1 Five Polynomial Operations/
  30.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  31.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  32.    wt: 1:   Step 1 Stick diagram and fractions/
  33.    wt: 1:   11 Squares and Square Roots/
  34.    wt: 1:   A Decimal Counting and Adding Methods/
  35.    wt: 1:   1 Decimal Place Value/
  36.    wt: 1:   Resources and Reciprocal Links/
  37.    wt: 1:   Mathematics 506 Lessons/
  38.    wt: 1:   Quebec Material/
  39.    wt: 1:   Secondary Mathematics A Practical Approach/

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106 matches:

  1.    wt: 2:   Postscript 2007 01 10
  2.    wt: 2:   Maps Plans Drawings
  3.    wt: 2:   6 quadratics numerical approach
  4.    wt: 2:   Quadratics in 10 steps
  5.    wt: 2:   4 Angles on Maps Plans drawn to scale
  6.    wt: 2:   3 Lengths and Areas on Maps and Plans
  7.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  8.    wt: 1:   10 statistics
  9.    wt: 1:   About site lesson plans
  10.    wt: 1:   teaching tutoring algebraic reason
  11.    wt: 1:   chapitre 07 01 principle D induction mathematique
  12.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  13.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  14.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  15.    wt: 1:   2 Energy Power Heat07
  16.    wt: 1:   10 Ends values for work study instruction
  17.    wt: 1:   Ages 10 to 12 Geometry
  18.    wt: 1:   Ages 10 to 12 Arithmetic
  19.    wt: 1:   Ages 9 to 10
  20.    wt: 1:   10 Interval Notation
  21.    wt: 1:   2 Algebraic use of function notation
  22.    wt: 1:   A Quadratics Summary
  23.    wt: 1:   10 quadratic exercises
  24.    wt: 1:   9 quadratics physical and further context
  25.    wt: 1:   8 quadratics backward use of various formulas
  26.    wt: 1:   5 quadratics completing the square
  27.    wt: 1:   4 quadratics difference of two squares
  28.    wt: 1:   3 quadratics factoring by inspection
  29.    wt: 1:   2 quadratics graphing in general
  30.    wt: 1:   1 quadratics graphing exercises
  31.    wt: 1:   10 Exponential Growth and Decay Models
  32.    wt: 1:   Rewriting algebraic substitution as function substitutions
  33.    wt: 1:   10 arctan left inverse of tangent Definition
  34.    wt: 1:   13 Velocity Vectors in Physics
  35.    wt: 1:   10 Parallelogram Addition Method
  36.    wt: 1:   8 Parallel Vectors
  37.    wt: 1:   6 Vectors with Coordinates
  38.    wt: 1:   3 Navigation with Arrows or Vectors
  39.    wt: 1:   10 Straight Lines through Origin Equations More
  40.    wt: 1:   10 Graphs of sines and cosines many periods
  41.    wt: 1:   Unit Circle Development of Trigonometry
  42.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  43.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  44.    wt: 1:   8 Unit Circle Development of Trigonometry
  45.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  46.    wt: 1:   Why Trigonometry the whyslopes view
  47.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  48.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  49.    wt: 1:   10 Midpoint of [a b] and [b a]
  50.    wt: 1:   5 Algebraic View of Slopes
  51.    wt: 1:   10 Pythagorean plane distance formula
  52.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  53.    wt: 1:   10 Dropping a perpendicular to line
  54.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  55.    wt: 1:   6 Figuring with Maps Not to Scale
  56.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  57.    wt: 1:   19 Signed Multiples of Vectors
  58.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  59.    wt: 1:   13 Arrows and Vectors in a Plane
  60.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  61.    wt: 1:   3 Inequalities Algebraically
  62.    wt: 1:   2 Algebraic View
  63.    wt: 1:   10 Real Number Lengths and Signs
  64.    wt: 1:   8 Coordinates for Maps and Planes
  65.    wt: 1:   6 Algebraic Solution Example
  66.    wt: 1:   5 Algebraic Solutions Introduction
  67.    wt: 1:   10 One Example
  68.    wt: 1:   10 Volume of Pyramid
  69.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  70.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  71.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  72.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  73.    wt: 1:   4 LCM of 8 and 10 via Prime
  74.    wt: 1:   10 dividing signed numbers
  75.    wt: 1:   3 signed coordinates for maps and planes
  76.    wt: 1:   13 Fraction Comparison Algebraic View
  77.    wt: 1:   11 Simplification an Algebraic View
  78.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  79.    wt: 1:   6 Multiplication Algebraically Take II
  80.    wt: 1:   10 Integer Multiplication Formulas
  81.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  82.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  83.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  84.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  85.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  86.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  87.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  88.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  89.    wt: 1:   1 Remainder Arithmetic Modulo 10
  90.    wt: 1:   10 video Prime Factorization upto 23 squared
  91.    wt: 1:   10 Division by Five Long and Short Ways
  92.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  93.    wt: 1:   010 Repeated Addition of Time Intervals
  94.    wt: 1:   10 Power rule for negative integers
  95.    wt: 1:   10 Three one sided limits with infinite values
  96.    wt: 1:   2 Algebraic codification
  97.    wt: 1:   E2 Algebraic Properties of Limits
  98.    wt: 1:   Chapter 23 Links To Trigonometry
  99.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  100.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  101.    wt: 1:   Chapter 10 Slopes and Units
  102.    wt: 1:   Chapter 10 Describing and Changing Calculations
  103.    wt: 1:   Chapter 10 Transition
  104.    wt: 1:   Chapter 10 Responsibility
  105.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  106.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

681 matches:

  1.    wt: 9:   10 sine cosine Angle Sum Formulas via cis
  2.    wt: 9:   7 Second Way to Calculate Products
  3.    wt: 9:   8 More Use of Maps Not Drawn to Scale
  4.    wt: 9:   6 Figuring with Maps Not to Scale
  5.    wt: 8:   10 Parallelogram Addition Method
  6.    wt: 8:   7 Coordinate Addition and Scalar Multiplication
  7.    wt: 8:   10 Graphs of sines and cosines many periods
  8.    wt: 8:   21 Logarithms Powers and Exponentials
  9.    wt: 8:   11 sine and cosine double triple angle formulas
  10.    wt: 8:   8 Unit Circle Development of Trigonometry
  11.    wt: 8:   1 Rectangular Polar Coordinates Review
  12.    wt: 8:   A Measurement with Ruler Proper Use
  13.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  14.    wt: 8:   2 Measuring Area Directly
  15.    wt: 8:   1 Length Measurement
  16.    wt: 7:   13 Velocity Vectors in Physics
  17.    wt: 7:   11 Component Method
  18.    wt: 7:   8 Parallel Vectors
  19.    wt: 7:   6 Vectors with Coordinates
  20.    wt: 7:   3 Navigation with Arrows or Vectors
  21.    wt: 7:   1 Unsigned Coordinates
  22.    wt: 7:   Construction Methods and Criteria for Isometric and Similar Triangles
  23.    wt: 7:   SAS Method For Isometric Or Proportional Triangle Construction
  24.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  25.    wt: 7:   Straight Lines ASA Intersection Study More
  26.    wt: 7:   Straight Lines ASA Intersection Study
  27.    wt: 7:   Straight Lines Instersection Solving Equations
  28.    wt: 7:   Straight Lines Intersection of
  29.    wt: 7:   13 Graph of tangent function many periods
  30.    wt: 7:   12 Graph of tangent function for one period
  31.    wt: 7:   11 tangent function undefined when terminal side vertical
  32.    wt: 7:   9 Graphs of sine and cosine over one period
  33.    wt: 7:   8 period of tangent function
  34.    wt: 7:   7 period of sine and cosine
  35.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  36.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  37.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  38.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  39.    wt: 7:   Unit Circle Development of Trigonometry
  40.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  41.    wt: 7:   20 N th Roots of Complex Numbers
  42.    wt: 7:   19 N th Roots of Unity
  43.    wt: 7:   18 Sixth Roots of Unity
  44.    wt: 7:   17 Cube Roots of unity
  45.    wt: 7:   16 References and Originality Question
  46.    wt: 7:   15 Pythagorean Theorem Converse
  47.    wt: 7:   14 Law of cosines
  48.    wt: 7:   13 Trig Formulas for dot and cross Products
  49.    wt: 7:   12 cis formulas for sine cosines and tangent
  50.    wt: 7:   9 The complex number valued trig function cis
  51.    wt: 7:   6 Field Properties of Complex Number
  52.    wt: 7:   5 An Easy Proof of the Distributive Law
  53.    wt: 7:   4 Multiplication Properties
  54.    wt: 7:   3 Addition Properties
  55.    wt: 7:   2 Complex Numbers made easier we hope
  56.    wt: 7:   Appetizer A Complex Number Applet
  57.    wt: 7:   7 Trignometric Ratios Unit Circle
  58.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  59.    wt: 7:   1 Angle Measurement with Degrees
  60.    wt: 7:   Why Trigonometry the whyslopes view
  61.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  62.    wt: 7:   10 Similarity of Triangles Equivalent of Two Criteria
  63.    wt: 7:   10 Midpoint of [a b] and [b a]
  64.    wt: 7:   7 Exercises to test skill and concept mastery
  65.    wt: 7:   10 Pythagorean plane distance formula
  66.    wt: 7:   7 Complex Numbers Appetizer
  67.    wt: 7:   10 Dropping a perpendicular to line
  68.    wt: 7:   7 Angle Side Angle
  69.    wt: 6:   10 arctan left inverse of tangent Definition
  70.    wt: 6:   A Global Time and Navigation
  71.    wt: 6:   15 Dot and Cross Product
  72.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  73.    wt: 6:   12 From Applied To Pure Mathematics
  74.    wt: 6:   9 Head to Tail Coordinate View
  75.    wt: 6:   5 Head To Tail Arrow Addition
  76.    wt: 6:   4 Resultant of a Sum of Movements
  77.    wt: 6:   2 Signed Coordinates
  78.    wt: 6:   Vector and Complex Number Applet
  79.    wt: 6:   Parallel Lines and Parallel Transversals
  80.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  81.    wt: 6:   Triangle Angles Sum To 180 Degrees
  82.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  83.    wt: 6:   Parallel Lines and Interior Angles
  84.    wt: 6:   10 Straight Lines through Origin Equations More
  85.    wt: 6:   17 tangent function angle sum formulas
  86.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  87.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  88.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  89.    wt: 6:   32 seven rows of pascals triangle
  90.    wt: 6:   31 basic secant cosecant cotangent trig identities
  91.    wt: 6:   30 unit circle calculation of six trigonometric functions
  92.    wt: 6:   29 secant cosecant and cotangent for acute angles
  93.    wt: 6:   28 Expressing products of sines cosines as sums
  94.    wt: 6:   27 Logarithmic use of products of sines and cosines
  95.    wt: 6:   26 Formulas for products of sines and cosines
  96.    wt: 6:   25 tangent double angle formula Slope connection
  97.    wt: 6:   24 tangent Angle Difference Formula
  98.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  99.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  100.    wt: 6:   21 sine and cosine Half Angle Formulas
  101.    wt: 6:   20 sine and cosine Double Angle Formulas
  102.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  103.    wt: 6:   18 sum of sinusoidal waves as a single wave
  104.    wt: 6:   17G Pythagorean Theorem Converse
  105.    wt: 6:   17F Law of cosines
  106.    wt: 6:   17E Trig Formulas for dot and cross Products
  107.    wt: 6:   17D cis formulas for sine cosines and tangent
  108.    wt: 6:   17C sine and cosine double triple angle formulas
  109.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  110.    wt: 6:   17A The complex number valued trig function cis
  111.    wt: 6:   16 Right Triangle Complementary Angle Relations
  112.    wt: 6:   15 sine cosine Complementary Angle Relations
  113.    wt: 6:   14 cosine even and sine and tangent are odd
  114.    wt: 6:   2 Quadrant I reference Angles
  115.    wt: 6:   1 Unit Points Reflections Rotations
  116.    wt: 6:   8 Triangles Cascade Problem Solving
  117.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  118.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  119.    wt: 6:   3 Trigonometric Ratios sine and cosine
  120.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  121.    wt: 6:   11 Triangle Similarity Missing Side Problem
  122.    wt: 6:   7 Translations Rotations Reflections Dilatations
  123.    wt: 6:   2 Similarity By Design
  124.    wt: 6:   1 Early Concept of Like or Similar Shapes
  125.    wt: 6:   11 A Partial Summary
  126.    wt: 6:   5 Algebraic View of Slopes
  127.    wt: 6:   1 Numerical view of lines and their equations
  128.    wt: 6:   11 Triangle Inequality
  129.    wt: 6:   1 Cartesian Coordinates sans signs
  130.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  131.    wt: 6:   PS A Kite Construction Methods
  132.    wt: 6:   21 Parallelograms
  133.    wt: 6:   11 Triangle Construction Fails
  134.    wt: 6:   1 Initial Concepts and Terms
  135.    wt: 5:   16 cotangent function Definition Graph and Inverse
  136.    wt: 5:   15 cosecant function Definition Graph and Inverse
  137.    wt: 5:   14 secant function Definition Graph and Inverse
  138.    wt: 5:   13 cosecant function Definition Graph and Inverse
  139.    wt: 5:   12 motivation for term arctan
  140.    wt: 5:   11 arctan left inverse of tangent Graph
  141.    wt: 5:   9 motivation for name arcsin
  142.    wt: 5:   8 arcsin left inverse of sine Graph
  143.    wt: 5:   7 arcsin left inverse of sine Definition
  144.    wt: 5:   6 Graph of arccos function
  145.    wt: 5:   5 Swapping Coordinates is a reflection
  146.    wt: 5:   4 possible motivation for term arccos
  147.    wt: 5:   3 Left Inverse of cosine arccos definition
  148.    wt: 5:   2 cosine function more properties
  149.    wt: 5:   1 cosine function properties
  150.    wt: 5:   9 Summary Degrees to Radians and back
  151.    wt: 5:   8 Radian Measures of Common Angles
  152.    wt: 5:   7 Radian Measures in special Triangles
  153.    wt: 5:   6 Radian Measure to Degrees
  154.    wt: 5:   5 Degrees to Radian Measure
  155.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  156.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  157.    wt: 5:   2 Radian Measure Numerical Value of one degree
  158.    wt: 5:   1 Degrees and Radians Introduction
  159.    wt: 5:   4 graphing y=Asin(x c)
  160.    wt: 5:   3 graphing y=f(x c) plus K
  161.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  162.    wt: 5:   1 graphing y=f(x a)
  163.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  164.    wt: 5:   C Straight Lines Slope from Coordinates
  165.    wt: 5:   B Straight Line Slope Scaling Properties More
  166.    wt: 5:   A Straight Line Slope Scaling Properties
  167.    wt: 5:   14 Straight Lines Equations General Case
  168.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  169.    wt: 5:   12 Straight Lines Graphing mx plus b
  170.    wt: 5:   11 Straight Lines Graphing y=mx
  171.    wt: 5:   9 Straight Lines through Origin Equations
  172.    wt: 5:   8 Straight Lines Equation for vertical
  173.    wt: 5:   7 Tangent Function is odd on this domain
  174.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  175.    wt: 5:   5 Tangent Function Graph
  176.    wt: 5:   4 Tangent Function Properties
  177.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  178.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  179.    wt: 5:   1 Straight Lines Slope Concept
  180.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  181.    wt: 5:   12 Triangles Similarity More Problems
  182.    wt: 5:   9 Similarity of Triangles Usual Criteria
  183.    wt: 5:   8 Similarity of Triangles and Polygons
  184.    wt: 5:   6 Geometric Diagrams in Class
  185.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  186.    wt: 5:   4 Similarity Definition with Coordinate
  187.    wt: 5:   3 Similarity by Design with coordinates
  188.    wt: 5:   Four Simple Exercises
  189.    wt: 5:   12 Links Lessons elsewhere
  190.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  191.    wt: 5:   8 Mid Point Formula
  192.    wt: 5:   6 Intersection of lines by solving linear systems
  193.    wt: 5:   4 Equations for lines three forms
  194.    wt: 5:   3 Slope product for perpendicular lines
  195.    wt: 5:   2 point slope equation for a line
  196.    wt: 5:   What is and is not here
  197.    wt: 5:   13 Pythagorean spatial distance formulas
  198.    wt: 5:   12 Spatial Coordinates
  199.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  200.    wt: 5:   8 Distance Between Points on a Line
  201.    wt: 5:   6 Polar Multiplication and Rotation
  202.    wt: 5:   5 Cartesian Addition and Translation
  203.    wt: 5:   4 Polar Coordinates to and from
  204.    wt: 5:   3 Rectangular Coordinates Review
  205.    wt: 5:   2 Cartesian Coordinates with signs
  206.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  207.    wt: 5:   PS H Distributive Law For Complex Numbers
  208.    wt: 5:   PS G Rotation Distributes over Addition
  209.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  210.    wt: 5:   PS E Multiplication with Polar Coordinates
  211.    wt: 5:   PS D Addition with Cartesian Coordinates
  212.    wt: 5:   PS B Parallelogram Construction Methods
  213.    wt: 5:   19 Right Triangle Similarity
  214.    wt: 5:   18 Triangle Similarity Take 1
  215.    wt: 5:   17 Right Bisectors of Triangle Sides
  216.    wt: 5:   16 Angles Subtended By Chords and Diameters
  217.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  218.    wt: 5:   14 Parallel Lines Postulate
  219.    wt: 5:   13 Angle Side Angle Failure
  220.    wt: 5:   12 Side Angle Side Failure
  221.    wt: 5:   9 Construction of a right bisector
  222.    wt: 5:   8 Isoceles Triangles
  223.    wt: 5:   6 Ruler and compass Angle Bisection
  224.    wt: 5:   5 Side Angle Side
  225.    wt: 5:   4 Side Side Side
  226.    wt: 5:   3 Isometry of Triangles Congruence
  227.    wt: 5:   2 Correspondence between Triangles
  228.    wt: 5:   Short Course on Euclidean Geometry
  229.    wt: 5:   About Folder Contents
  230.    wt: 5:   14 GCD of 650 110 via Primes LCM via Product Rule
  231.    wt: 5:   10 Euclid Algorithm with 129 125 and with 45 14
  232.    wt: 5:   9 GCD of 360 110 via Primes and Euclid Algorithm
  233.    wt: 5:   4 LCM of 8 and 10 via Prime
  234.    wt: 5:   10 Three one sided limits with infinite values
  235.    wt: 5:   7 Evaluation by immediate or delayed substitution
  236.    wt: 4:   6 quadratics numerical approach
  237.    wt: 4:   3 Inequalities Algebraically
  238.    wt: 4:   13 GCD from given Prime Factorization
  239.    wt: 4:   11 GCD 2700 288 via Euclid Algorithm
  240.    wt: 4:   8 GCD from Euclidean Algorithm
  241.    wt: 4:   7 GCD and LCM from prime factorization
  242.    wt: 4:   6 GCD from Prime
  243.    wt: 4:   1 Least Common Multiples LCM Introduction
  244.    wt: 4:   12 GCD 2700 288 via Prime
  245.    wt: 4:   19 Chain Rule for linear functions
  246.    wt: 4:   9 Limits Continuity and Composition
  247.    wt: 4:   2 Algebraic codification
  248.    wt: 4:   1 Numerical introduction
  249.    wt: 3:   Postscript 2007 01 10
  250.    wt: 3:   Maps Plans Drawings
  251.    wt: 3:   cultivating intelligence
  252.    wt: 3:   10 quadratic exercises
  253.    wt: 3:   9 quadratics physical and further context
  254.    wt: 3:   8 quadratics backward use of various formulas
  255.    wt: 3:   7 quadratic formulla derivation
  256.    wt: 3:   5 quadratics completing the square
  257.    wt: 3:   4 quadratics difference of two squares
  258.    wt: 3:   3 quadratics factoring by inspection
  259.    wt: 3:   2 quadratics graphing in general
  260.    wt: 3:   1 quadratics graphing exercises
  261.    wt: 3:   Quadratics in 10 steps
  262.    wt: 3:   5 Areas of Rectangles Revisited
  263.    wt: 3:   4 Fraction Operations Axiomatic Development
  264.    wt: 3:   2 Fraction Operations Physical Development
  265.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  266.    wt: 3:   10 One Example
  267.    wt: 3:   7 Two Examples
  268.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  269.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  270.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  271.    wt: 3:   5 Common Divisors 60 45 via Prime
  272.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  273.    wt: 3:   2 Least Common Multiple LCM intro via list method
  274.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  275.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  276.    wt: 3:   Example 2 volume of a cone
  277.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  278.    wt: 3:   Example 2
  279.    wt: 3:   Area Between Curves Lesson Take 1
  280.    wt: 3:   5 Area Under Curve Exercise
  281.    wt: 3:   38 Formulas and derivatives for powers and roots
  282.    wt: 3:   29 Chain Rule Optional Reading
  283.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  284.    wt: 3:   26 Chain Rule Recognising outer inner functions
  285.    wt: 3:   25 Chain Rule Animated Examples Continued
  286.    wt: 3:   24 Chain Rule Animated Examples
  287.    wt: 3:   23 Chain Rule in general
  288.    wt: 3:   22 Chain Rule for polynomials
  289.    wt: 3:   21 Chain Rule for powers
  290.    wt: 3:   20 Chain Rule for Pulley Systems
  291.    wt: 3:   18 Chain Rule Introduction
  292.    wt: 3:   10 Power rule for negative integers
  293.    wt: 3:   7 Animated Differentiation Examples
  294.    wt: 3:   3 Motivation for Limit Definition Take 2
  295.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  296.    wt: 3:   12 Limits with Parameters and Derivatives Take I
  297.    wt: 3:   11 Limits at infinity Three Examples
  298.    wt: 3:   8 Four Animated Examples
  299.    wt: 3:   6 Continuity at a point
  300.    wt: 3:   5 Jumps and absence of unlimited error control
  301.    wt: 3:   4 Numerical properties
  302.    wt: 3:   3 Decimal insights for limits continuity convergence
  303.    wt: 2:   10 statistics
  304.    wt: 2:   which way to go
  305.    wt: 2:   activities for students
  306.    wt: 2:   About site lesson plans
  307.    wt: 2:   key notes and themes
  308.    wt: 2:   Mathematics Education Professors
  309.    wt: 2:   grouping students according to ability
  310.    wt: 2:   what should be learnt and When
  311.    wt: 2:   Secondary Three Mathematics
  312.    wt: 2:   Secondary Two Mathematics
  313.    wt: 2:   three difficulties
  314.    wt: 2:   teaching tutoring algebraic reason
  315.    wt: 2:   05 13 OldSiteEntrancePage
  316.    wt: 2:   04 29 New Mathematics Curriculum
  317.    wt: 2:   04 25 when to stop or suspend mathemat
  318.    wt: 2:   02 21 words for teachers
  319.    wt: 2:   02 20 mathematics education references
  320.    wt: 2:   three aims for mathematics students
  321.    wt: 2:   standards for course material
  322.    wt: 2:   Operational Viewpoint to Value
  323.    wt: 2:   formal or informal peer review
  324.    wt: 2:   Theory of Knowledge
  325.    wt: 2:   mathematics instruction in general
  326.    wt: 2:   Education in mathematics science and technology
  327.    wt: 2:   Different Kinds of Reasoning in maths
  328.    wt: 2:   three kinds of reason in mathematics
  329.    wt: 2:   Four ways to improve education reform
  330.    wt: 2:   chapitre 07 01 principle D induction mathematique
  331.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  332.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  333.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  334.    wt: 2:   10 Ends values for work study instruction
  335.    wt: 2:   7 Student Motivation
  336.    wt: 2:   Ages 10 to 12 Geometry
  337.    wt: 2:   Ages 10 to 12 Arithmetic
  338.    wt: 2:   10 Interval Notation
  339.    wt: 2:   7 Functions with finite domains
  340.    wt: 2:   A Quadratics Summary
  341.    wt: 2:   10 Exponential Growth and Decay Models
  342.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  343.    wt: 2:   7 Links Lessons Elsewhere
  344.    wt: 2:   7 Decimals Multiplication Methods Examples
  345.    wt: 2:   8 Coordinates for Maps and Planes
  346.    wt: 2:   6 Algebraic Solution Example
  347.    wt: 2:   5 Algebraic Solutions Introduction
  348.    wt: 2:   1 Proper Equal Sign Usage
  349.    wt: 2:   Skill Development Notes
  350.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  351.    wt: 2:   10 dividing signed numbers
  352.    wt: 2:   7 negative and additive inverse
  353.    wt: 2:   7 Converting or Changing Units
  354.    wt: 2:   6 Simplification of Fractions with Units
  355.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  356.    wt: 2:   4 Fractions with Units
  357.    wt: 2:   3 Multiplying Units and Numbers
  358.    wt: 2:   2 Equality and Units
  359.    wt: 2:   1 Addition and Subtraction with Units
  360.    wt: 2:   13 Fraction Comparison Algebraic View
  361.    wt: 2:   11 Simplification an Algebraic View
  362.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  363.    wt: 2:   6 Multiplication Algebraically Take II
  364.    wt: 2:   10 Integer Multiplication Formulas
  365.    wt: 2:   7 Multiplication by Signs
  366.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  367.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  368.    wt: 2:   10 video Prime Factorization upto 23 squared
  369.    wt: 2:   7 Calculator Usage Notes and Cautions
  370.    wt: 2:   10 Division by Five Long and Short Ways
  371.    wt: 2:   7 Long Divison Mistake Catching
  372.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  373.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  374.    wt: 2:   7 Adding decimal fractions using decimal point
  375.    wt: 2:   1. Explaining Addition Table
  376.    wt: 2:   11 Place Value SI Standard International way
  377.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  378.    wt: 2:   010 Repeated Addition of Time Intervals
  379.    wt: 2:   Example 1 volume of a pyramid
  380.    wt: 2:   Volume of Solid by Cross Sections Lesson
  381.    wt: 2:   Example 1. Area Between x and x squared
  382.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  383.    wt: 2:   Example 4 with x function of y
  384.    wt: 2:   Example 3
  385.    wt: 2:   Example 1
  386.    wt: 2:   Area Between Curves Lesson Take 2
  387.    wt: 2:   Summary
  388.    wt: 2:   A Related Material in Volume 3
  389.    wt: 2:   4 Definite Integrals Evaluation Exercises
  390.    wt: 2:   3 Two Chain Rule Method Exercises
  391.    wt: 2:   2 Indefinite Integrals Exercises
  392.    wt: 2:   1 Chain Rule in Reverse Integration Method
  393.    wt: 2:   A Related lessons in Volume 3
  394.    wt: 2:   4 Second derivative test exercise example
  395.    wt: 2:   3 Second derivative test
  396.    wt: 2:   2 Second derivative test prequel
  397.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  398.    wt: 2:   A Chain Rule Real Player video examples
  399.    wt: 2:   36 Cube root derivative animated
  400.    wt: 2:   34 Derivative of exponential function
  401.    wt: 2:   33 Chain Rule Real Player video examples
  402.    wt: 2:   31 Derivatives of inverse functions
  403.    wt: 2:   30Chain Rule A Proof
  404.    wt: 2:   28 Chain Rule Preparation for a Proof
  405.    wt: 2:   17 Derivatives of quotients of sine and cosine
  406.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  407.    wt: 2:   15 sine and cosine derivatives 3rd step
  408.    wt: 2:   14 sine and cosine derivatives 2nd step
  409.    wt: 2:   13 sine and cosine derivatives 1st step
  410.    wt: 2:   12 Quotient rule examples
  411.    wt: 2:   11 Quotient rule
  412.    wt: 2:   9 Reciprocal rule
  413.    wt: 2:   8 Differentiation of polynomials
  414.    wt: 2:   6 Power rule from product rule
  415.    wt: 2:   5 Product Rule
  416.    wt: 2:   4 Sum Rule
  417.    wt: 2:   2 Motivation for Limit Definition Take 1
  418.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  419.    wt: 2:   Chapter 10 Slopes and Units
  420.    wt: 2:   Chapter 10 Describing and Changing Calculations
  421.    wt: 2:   Chapter 10 Transition
  422.    wt: 2:   Chapter 10 Responsibility
  423.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  424.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  425.    wt: 2:   Chapter 1 Arithmetic
  426.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  427.    wt: 1:   Skills Chapter 1 Arithmetic
  428.    wt: 1:   Skills Chapter 0 Introduction
  429.    wt: 1:   7 logic review and decimals an odd combination
  430.    wt: 1:   why bother
  431.    wt: 1:   website reviews
  432.    wt: 1:   three goals to set for students
  433.    wt: 1:   Teach the teachers plus goals
  434.    wt: 1:   permissions for teachers
  435.    wt: 1:   Math Ed if it must be short make it lean effective
  436.    wt: 1:   Applied Maths Program14092009 POMME variant
  437.    wt: 1:   links Education Resources online
  438.    wt: 1:   site origins
  439.    wt: 1:   site eurekas
  440.    wt: 1:   teacher certification
  441.    wt: 1:   modern education
  442.    wt: 1:   learning takes time
  443.    wt: 1:   mathematics in context
  444.    wt: 1:   Education Reform Inconsistencies
  445.    wt: 1:   five decades make a difference
  446.    wt: 1:   how letters appear
  447.    wt: 1:   Secondary One Mathematics
  448.    wt: 1:   talk the algebra talk
  449.    wt: 1:   teaching tips
  450.    wt: 1:   What to Tell Students
  451.    wt: 1:   mathematics curriculum shifts
  452.    wt: 1:   geometric implications for algebra
  453.    wt: 1:   Lessening Algebra Difficulties
  454.    wt: 1:   the trouble with algebra
  455.    wt: 1:   three goals for Mathematics Education
  456.    wt: 1:   How to be a better instructor
  457.    wt: 1:   Motivation and Context Problem
  458.    wt: 1:   need for a mixed mathematics curriculum
  459.    wt: 1:   Leaner mathematics curriculum
  460.    wt: 1:   Prequel In For A Penny In For A Pound
  461.    wt: 1:   education an empirical art
  462.    wt: 1:   fairness and inductive principles for instruction
  463.    wt: 1:   words for mathematics instructor
  464.    wt: 1:   chapitre 12 00 les iles et division
  465.    wt: 1:   chapitre 06 00 Chaines de la raison
  466.    wt: 1:   chapitre 05 00 Deception
  467.    wt: 1:   chapitre 04 09 Regles accidentelles
  468.    wt: 1:   chapitre 04 08 Limitations et benefices
  469.    wt: 1:   chapitre 04 06 engagements
  470.    wt: 1:   chapitre 04 05 Implication versus suggestion
  471.    wt: 1:   chapitre 04 04 Parlons de la logique
  472.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  473.    wt: 1:   chapitre 04 02 Deuxieme enigme
  474.    wt: 1:   chapitre 04 01 Premiere enigme
  475.    wt: 1:   chapitre 04 00 Les regles d implication
  476.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  477.    wt: 1:   chapitre 02 00 La Communication des idees
  478.    wt: 1:   chapitre 01 00 Introduction
  479.    wt: 1:   problemes responses
  480.    wt: 1:   problemes algebre et arithmetique
  481.    wt: 1:   deux definitions pour variable
  482.    wt: 1:   2 Energy Power Heat07
  483.    wt: 1:   A Energy Power01
  484.    wt: 1:   2 Unlike resistors in parallel01
  485.    wt: 1:   1 Like resistors in series
  486.    wt: 1:   F Unlike Resistors in Series
  487.    wt: 1:   A Circuit Elements
  488.    wt: 1:   Home Tutoring and Home Schooling
  489.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  490.    wt: 1:   11 Help and Defend Your Child or Teens Education
  491.    wt: 1:   1 Speaking Skills
  492.    wt: 1:   Ages 9 to 10
  493.    wt: 1:   Ages 7 to 8
  494.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  495.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  496.    wt: 1:   sign monoticity analysis example 1
  497.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  498.    wt: 1:   11 Function Domain Range Source and Targets
  499.    wt: 1:   2 Algebraic use of function notation
  500.    wt: 1:   1 Geometric Introduction of Function Notation
  501.    wt: 1:   11 Growth and Decay in Biology
  502.    wt: 1:   1 Calculator Starter Exercises
  503.    wt: 1:   8 Notes for instructors or tutors
  504.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  505.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  506.    wt: 1:   4 Polynomials Long division linear divisor
  507.    wt: 1:   3 Polynomials Multiplication Addition
  508.    wt: 1:   2 Column Multiplication Method
  509.    wt: 1:   1 Polynomials Distributive Law
  510.    wt: 1:   Rewriting algebraic substitution as function substitutions
  511.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  512.    wt: 1:   19 Signed Multiples of Vectors
  513.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  514.    wt: 1:   13 Arrows and Vectors in a Plane
  515.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  516.    wt: 1:   9 Division with Digits after Decimal Point
  517.    wt: 1:   8 Division and Mulplication of Compound Fractions
  518.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  519.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  520.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  521.    wt: 1:   4 Location of Point in Decimal Addition
  522.    wt: 1:   3 Location of Point in Decimal Multiplication
  523.    wt: 1:   2 Counting Digits in Decimal Multiplication
  524.    wt: 1:   1 Fractions with Finite Decimal Expansions
  525.    wt: 1:   8 Column Multiplication Methods in General
  526.    wt: 1:   1 The Counting Origins of Numbers
  527.    wt: 1:   2 Algebraic View
  528.    wt: 1:   1 What is Proportionality
  529.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  530.    wt: 1:   6 Equations and Systems Equivalent or Implied
  531.    wt: 1:   5 Equality in Algebra
  532.    wt: 1:   4 Subtraction and Division Axioms
  533.    wt: 1:   3 Product Axioms Two Forms
  534.    wt: 1:   2 Addition and Multiplication Axioms
  535.    wt: 1:   1 Equivalent Computation Rules
  536.    wt: 1:   10 Real Number Lengths and Signs
  537.    wt: 1:   9 Coordinates for Regions in Space
  538.    wt: 1:   7 Real Numbers as Line Cordinates
  539.    wt: 1:   6 Unsigned Real Numbers
  540.    wt: 1:   5 Independent versus Dependent Variables
  541.    wt: 1:   4 Changing Letters
  542.    wt: 1:   3 Geometric Formulas and Function Notation
  543.    wt: 1:   2 Computation Rules Evaluation
  544.    wt: 1:   1 Formulas Dependence and Function Notation
  545.    wt: 1:   1 GE Substitution four examples
  546.    wt: 1:   1 Essentially One Unknown
  547.    wt: 1:   4 Four Examples Fractional Coefficients
  548.    wt: 1:   3 Four Examples
  549.    wt: 1:   2 Three Examples
  550.    wt: 1:   9 Three Examples
  551.    wt: 1:   8 One Example
  552.    wt: 1:   6 Three Examples
  553.    wt: 1:   5 Three Examples
  554.    wt: 1:   4 Two Examples
  555.    wt: 1:   3 Two Examples
  556.    wt: 1:   2 Three Examples
  557.    wt: 1:   10 Volume of Pyramid
  558.    wt: 1:   7 Compound Interest Formula Introduction
  559.    wt: 1:   7 Cautious or Safe Set Construction
  560.    wt: 1:   6 Three Notions of What is a Variable
  561.    wt: 1:   5 Talking about Numbers and Quantities
  562.    wt: 1:   4 A Brief Story of numbers and algebra
  563.    wt: 1:   3 Adding Words To Arithmetic
  564.    wt: 1:   2 What is a Variable
  565.    wt: 1:   1 Three Skills For Algebra
  566.    wt: 1:   1 More and Less Than for Counts and Measures
  567.    wt: 1:   5 Square Roots with primes more still
  568.    wt: 1:   4 Square Roots with primes more
  569.    wt: 1:   3 Properties of Square Roots with example
  570.    wt: 1:   2 Square Roots with Prime
  571.    wt: 1:   1 Squares and Square Roots Introduction
  572.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  573.    wt: 1:   4 Counting with Trees Product Rule Take I
  574.    wt: 1:   3 Counting with Tables and Trees II
  575.    wt: 1:   2 Counting with Tables and Trees I
  576.    wt: 1:   1 Counting and Counting Methods I
  577.    wt: 1:   11 What are real lengths and numbers
  578.    wt: 1:   3 signed coordinates for maps and planes
  579.    wt: 1:   17 Efficient Ways to Add and Subtract
  580.    wt: 1:   16 Addition Subtraction Comparision Compared
  581.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  582.    wt: 1:   14 Adding and Subtracting with Like Denominators
  583.    wt: 1:   12 Fraction Comparison
  584.    wt: 1:   9 Improper Fractions and Mixed Numbers
  585.    wt: 1:   8 Numerals Fractionals Quantals Take II
  586.    wt: 1:   7 Numerals Fractionals Quantals
  587.    wt: 1:   6 Multiplication of Mixed Numbers
  588.    wt: 1:   5 Equivalent Fractions
  589.    wt: 1:   4 Fraction Multiplication
  590.    wt: 1:   3 Unit fraction of a fraction
  591.    wt: 1:   2 Unit Fraction Multiplication
  592.    wt: 1:   1 What is a fraction Take II
  593.    wt: 1:   1 What is a fraction
  594.    wt: 1:   11 Adding Integers Formulas and Examples
  595.    wt: 1:   1 Integers as Coordinates
  596.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  597.    wt: 1:   26 Divisibility by 2 3 5 Example
  598.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  599.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  600.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  601.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  602.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  603.    wt: 1:   1 Remainder Arithmetic Modulo 10
  604.    wt: 1:   11 Efficient Square Rule Use
  605.    wt: 1:   1 video how Products are bigger than factor
  606.    wt: 1:   11 Another Single Digit Divisor Example
  607.    wt: 1:   1 Divsion Physical Examples
  608.    wt: 1:   D Decimal Multiplication Methods Derived
  609.    wt: 1:   A Elementary Basis for Multiplication Methods
  610.    wt: 1:   1 Why 3 times 5 gives 15
  611.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  612.    wt: 1:   8 What skills and work habits to require
  613.    wt: 1:   6. Counting and adding units and mixed units
  614.    wt: 1:   5. How to add decimals C. Examples
  615.    wt: 1:   4. How to add with decimals B with conversions
  616.    wt: 1:   3. How to add with decimals A sans conversions
  617.    wt: 1:   2 Decimal Counting Practices
  618.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  619.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  620.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  621.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  622.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  623.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  624.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  625.    wt: 1:   Quick history of numbers and algebra
  626.    wt: 1:   Exact Arithmetic Wholes and Fractions
  627.    wt: 1:   Formula Evaluation how to show work
  628.    wt: 1:   Expression Evaluation how to show work
  629.    wt: 1:   016 Numbering Occidental Calendar Days
  630.    wt: 1:   015 School and work day counting tables
  631.    wt: 1:   014 Counting Days with Calendars
  632.    wt: 1:   013 Travel Time Tables
  633.    wt: 1:   012 Division of Time Intervals by Time Intervals
  634.    wt: 1:   011 Division of Time Intervals By Numbers
  635.    wt: 1:   7 Addition of Time Intervals
  636.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  637.    wt: 1:   F.3 Intermediate Value Theorem
  638.    wt: 1:   F.2 Closed Range Theorem
  639.    wt: 1:   E2 Algebraic Properties of Limits
  640.    wt: 1:   E1 Error Control Inequalities
  641.    wt: 1:   PostScript For and Against Decimal Perspectives
  642.    wt: 1:   A1. Introduction
  643.    wt: 1:   Chapter 23 Links To Trigonometry
  644.    wt: 1:   Chapter 21 Arrow Addition
  645.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  646.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  647.    wt: 1:   Chapter 11. Graphing Slope versus Position
  648.    wt: 1:   Chapter 7 Slopes and Velocity
  649.    wt: 1:   Chapter 1.Introduction
  650.    wt: 1:   Foreword
  651.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  652.    wt: 1:   Chapter 31 Direct and Indirect Reason
  653.    wt: 1:   Chapter 21. Third Reading Guide
  654.    wt: 1:   Chapter 11. Why Shorthand
  655.    wt: 1:   Solutions For Arithmetic Exercises
  656.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  657.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  658.    wt: 1:   Chapter 11 Elementary Instruction
  659.    wt: 1:   Chapter 7 Two Treatments of Geometry
  660.    wt: 1:   Chapter 1 Introduction
  661.    wt: 1:   Chapter 21 Occurrence Tables
  662.    wt: 1:   Chapter 11 Accidental Patterns
  663.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  664.    wt: 1:   Chapter 7 Longer Chains of Reason
  665.    wt: 1:   Chapter 1 Introduction
  666.    wt: 1:   N Improving Marks on Tests and Finals
  667.    wt: 1:   J. More on written work and showing skill
  668.    wt: 1:   G. Written work formats for developing and showing skill
  669.    wt: 1:   A. Skill has to be seen to believed
  670.    wt: 1:   Chapter 8 Skipped Topics and Why
  671.    wt: 1:   Chapter 6 More Algebra and Geometry
  672.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  673.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  674.    wt: 1:   Chapter 3 Algebra Starter Lessons
  675.    wt: 1:   Chapter 2 Why Sets
  676.    wt: 1:   7 Games and Activities for Instruction
  677.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  678.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  679.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  680.    wt: 10:   4 Angles on Maps Plans drawn to scale
  681.    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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