Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic and Pattern Based Reason to inform and amuse.

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 material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin.

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

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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  1.    wt: 4:   Mathematics Education Essays/
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  3.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  4.    wt: 1:   LAMP Lean Applied Mathematics Program/
  5.    wt: 1:   Archives/
  6.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  7.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  8.    wt: 1:   13 Vectors/
  9.    wt: 1:   12 Function Translating and Rescaling/
  10.    wt: 1:   11 Parallel Straight Lines and Transversals/
  11.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  12.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  13.    wt: 1:   8 Unit Circle Trigonometry/
  14.    wt: 1:   7 Complex Numbers/
  15.    wt: 1:   6 Trigonometry first steps/
  16.    wt: 1:   5 What is Similarity/
  17.    wt: 1:   4 Lines and Slopes Take 1/
  18.    wt: 1:   3 Cartesian and Polar Coordinates/
  19.    wt: 1:   1 Maps Plans Measurement/
  20.    wt: 1:   Geometry maps plans trigonometry vectors/

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131 matches:

  1.    wt: 3:   13 Angle Side Angle Failure
  2.    wt: 3:   12 Side Angle Side Failure
  3.    wt: 3:   7 Angle Side Angle
  4.    wt: 3:   5 Side Angle Side
  5.    wt: 3:   4 Side Side Side
  6.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  7.    wt: 2:   3 Euclidean Geometry Leanly
  8.    wt: 2:   Triangle Angles Sum To 180 Degrees
  9.    wt: 2:   16 Right Triangle Complementary Angle Relations
  10.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  11.    wt: 2:   11 Triangle Similarity Missing Side Problem
  12.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  13.    wt: 2:   17 Right Bisectors of Triangle Sides
  14.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  15.    wt: 2:   Short Course on Euclidean Geometry
  16.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  17.    wt: 1:   K LAMP Musings Science Education
  18.    wt: 1:   J LAMP Introduction Extrinsic Origins
  19.    wt: 1:   I LAMP Introduction Study Habits
  20.    wt: 1:   H LAMP Introduction Instructional Concepts
  21.    wt: 1:   G LAMP Introduction Problem Solving Skills
  22.    wt: 1:   F LAMP Introduction Prerequisites
  23.    wt: 1:   E LAMP Introduction Modern Mathematics
  24.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  25.    wt: 1:   A Introduction Objectives
  26.    wt: 1:   Ramblings Introduction Algebra Essay
  27.    wt: 1:   Skills Chapter 2 Geometry
  28.    wt: 1:   Skills Chapter 0 Introduction
  29.    wt: 1:   8 analytic geometry etc
  30.    wt: 1:   links Education Resources online
  31.    wt: 1:   Mathematics Education Professors
  32.    wt: 1:   modern education
  33.    wt: 1:   Education Reform Inconsistencies
  34.    wt: 1:   three goals for Mathematics Education
  35.    wt: 1:   02 20 mathematics education references
  36.    wt: 1:   Education in mathematics science and technology
  37.    wt: 1:   Four ways to improve education reform
  38.    wt: 1:   education an empirical art
  39.    wt: 1:   chapitre 01 00 Introduction
  40.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  41.    wt: 1:   11 Help and Defend Your Child or Teens Education
  42.    wt: 1:   Ages 12 to 14 Geometry
  43.    wt: 1:   Ages 10 to 12 Geometry
  44.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  45.    wt: 1:   1 Geometric Introduction of Function Notation
  46.    wt: 1:   Introduction Reading Guide
  47.    wt: 1:   8 Radian Measures of Common Angles
  48.    wt: 1:   7 Radian Measures in special Triangles
  49.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  50.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  51.    wt: 1:   1 Degrees and Radians Introduction
  52.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  53.    wt: 1:   Parallel Lines and Interior Angles
  54.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  55.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  56.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  57.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  58.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  59.    wt: 1:   17 tangent function angle sum formulas
  60.    wt: 1:   32 seven rows of pascals triangle
  61.    wt: 1:   29 secant cosecant and cotangent for acute angles
  62.    wt: 1:   25 tangent double angle formula Slope connection
  63.    wt: 1:   24 tangent Angle Difference Formula
  64.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  65.    wt: 1:   21 sine and cosine Half Angle Formulas
  66.    wt: 1:   20 sine and cosine Double Angle Formulas
  67.    wt: 1:   17C sine and cosine double triple angle formulas
  68.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  69.    wt: 1:   15 sine cosine Complementary Angle Relations
  70.    wt: 1:   11 tangent function undefined when terminal side vertical
  71.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  72.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  73.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  74.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  75.    wt: 1:   2 Quadrant I reference Angles
  76.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  77.    wt: 1:   11 sine and cosine double triple angle formulas
  78.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  79.    wt: 1:   8 Triangles Cascade Problem Solving
  80.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  81.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  82.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  83.    wt: 1:   1 Angle Measurement with Degrees
  84.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  85.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  86.    wt: 1:   12 Triangles Similarity More Problems
  87.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  88.    wt: 1:   9 Similarity of Triangles Usual Criteria
  89.    wt: 1:   8 Similarity of Triangles and Polygons
  90.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  91.    wt: 1:   11 Triangle Inequality
  92.    wt: 1:   19 Right Triangle Similarity
  93.    wt: 1:   18 Triangle Similarity Take 1
  94.    wt: 1:   16 Angles Subtended By Chords and Diameters
  95.    wt: 1:   11 Triangle Construction Fails
  96.    wt: 1:   8 Isoceles Triangles
  97.    wt: 1:   6 Ruler and compass Angle Bisection
  98.    wt: 1:   3 Isometry of Triangles Congruence
  99.    wt: 1:   2 Correspondence between Triangles
  100.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  101.    wt: 1:   4 Angles on Maps Plans drawn to scale
  102.    wt: 1:   5 Areas of Rectangles Revisited
  103.    wt: 1:   5 Triangle Area Formula Backwards
  104.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  105.    wt: 1:   5 Algebraic Solutions Introduction
  106.    wt: 1:   7 Compound Interest Formula Introduction
  107.    wt: 1:   3 Triangle Area Formula Example
  108.    wt: 1:   2 Another Rectangle Area Formula Example
  109.    wt: 1:   1 Squares and Square Roots Introduction
  110.    wt: 1:   8 GCD from Euclidean Algorithm
  111.    wt: 1:   1 Least Common Multiples LCM Introduction
  112.    wt: 1:   4 video Prime Factorization Introduction
  113.    wt: 1:   18 Chain Rule Introduction
  114.    wt: 1:   10 Three one sided limits with infinite values
  115.    wt: 1:   1 Numerical introduction
  116.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  117.    wt: 1:   C Triangle Inequalities
  118.    wt: 1:   A1. Introduction
  119.    wt: 1:   Chapter 1.Introduction
  120.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  121.    wt: 1:   Postscript B Mathematics Education References
  122.    wt: 1:   Chapter 7 Two Treatments of Geometry
  123.    wt: 1:   Chapter 1 Introduction
  124.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  125.    wt: 1:   Chapter 1 Introduction
  126.    wt: 1:   Chapter 6 More Algebra and Geometry
  127.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  128.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  129.    wt: 1:   Mathematics Education References
  130.    wt: 1:   Mathematics Education References
  131.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics

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365 matches:

  1.    wt: 6:   13 Angle Side Angle Failure
  2.    wt: 6:   12 Side Angle Side Failure
  3.    wt: 6:   7 Angle Side Angle
  4.    wt: 6:   5 Side Angle Side
  5.    wt: 6:   4 Side Side Side
  6.    wt: 5:   links Education Resources online
  7.    wt: 5:   Mathematics Education Professors
  8.    wt: 5:   modern education
  9.    wt: 5:   Education Reform Inconsistencies
  10.    wt: 5:   three goals for Mathematics Education
  11.    wt: 5:   02 20 mathematics education references
  12.    wt: 5:   Education in mathematics science and technology
  13.    wt: 5:   Four ways to improve education reform
  14.    wt: 5:   education an empirical art
  15.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  16.    wt: 5:   17 Right Bisectors of Triangle Sides
  17.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  18.    wt: 5:   Short Course on Euclidean Geometry
  19.    wt: 4:   3 Euclidean Geometry Leanly
  20.    wt: 4:   why bother
  21.    wt: 4:   which way to go
  22.    wt: 4:   website reviews
  23.    wt: 4:   three goals to set for students
  24.    wt: 4:   Teach the teachers plus goals
  25.    wt: 4:   permissions for teachers
  26.    wt: 4:   Math Ed if it must be short make it lean effective
  27.    wt: 4:   Applied Maths Program14092009 POMME variant
  28.    wt: 4:   activities for students
  29.    wt: 4:   site origins
  30.    wt: 4:   site eurekas
  31.    wt: 4:   About site lesson plans
  32.    wt: 4:   key notes and themes
  33.    wt: 4:   teacher certification
  34.    wt: 4:   learning takes time
  35.    wt: 4:   grouping students according to ability
  36.    wt: 4:   what should be learnt and When
  37.    wt: 4:   mathematics in context
  38.    wt: 4:   Postscript 2007 01 10
  39.    wt: 4:   five decades make a difference
  40.    wt: 4:   Maps Plans Drawings
  41.    wt: 4:   how letters appear
  42.    wt: 4:   Secondary Three Mathematics
  43.    wt: 4:   Secondary Two Mathematics
  44.    wt: 4:   Secondary One Mathematics
  45.    wt: 4:   talk the algebra talk
  46.    wt: 4:   three difficulties
  47.    wt: 4:   teaching tips
  48.    wt: 4:   What to Tell Students
  49.    wt: 4:   mathematics curriculum shifts
  50.    wt: 4:   geometric implications for algebra
  51.    wt: 4:   teaching tutoring algebraic reason
  52.    wt: 4:   Lessening Algebra Difficulties
  53.    wt: 4:   the trouble with algebra
  54.    wt: 4:   05 13 OldSiteEntrancePage
  55.    wt: 4:   04 29 New Mathematics Curriculum
  56.    wt: 4:   04 25 when to stop or suspend mathemat
  57.    wt: 4:   02 21 words for teachers
  58.    wt: 4:   three aims for mathematics students
  59.    wt: 4:   standards for course material
  60.    wt: 4:   Operational Viewpoint to Value
  61.    wt: 4:   formal or informal peer review
  62.    wt: 4:   Theory of Knowledge
  63.    wt: 4:   mathematics instruction in general
  64.    wt: 4:   Different Kinds of Reasoning in maths
  65.    wt: 4:   three kinds of reason in mathematics
  66.    wt: 4:   cultivating intelligence
  67.    wt: 4:   How to be a better instructor
  68.    wt: 4:   Motivation and Context Problem
  69.    wt: 4:   need for a mixed mathematics curriculum
  70.    wt: 4:   Leaner mathematics curriculum
  71.    wt: 4:   Prequel In For A Penny In For A Pound
  72.    wt: 4:   fairness and inductive principles for instruction
  73.    wt: 4:   words for mathematics instructor
  74.    wt: 4:   19 Right Triangle Similarity
  75.    wt: 4:   18 Triangle Similarity Take 1
  76.    wt: 4:   16 Angles Subtended By Chords and Diameters
  77.    wt: 4:   11 Triangle Construction Fails
  78.    wt: 4:   8 Isoceles Triangles
  79.    wt: 4:   6 Ruler and compass Angle Bisection
  80.    wt: 4:   3 Isometry of Triangles Congruence
  81.    wt: 4:   2 Correspondence between Triangles
  82.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  83.    wt: 3:   8 analytic geometry etc
  84.    wt: 3:   Triangle Angles Sum To 180 Degrees
  85.    wt: 3:   16 Right Triangle Complementary Angle Relations
  86.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  87.    wt: 3:   11 Triangle Similarity Missing Side Problem
  88.    wt: 3:   PS H Distributive Law For Complex Numbers
  89.    wt: 3:   PS G Rotation Distributes over Addition
  90.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  91.    wt: 3:   PS E Multiplication with Polar Coordinates
  92.    wt: 3:   PS D Addition with Cartesian Coordinates
  93.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  94.    wt: 3:   PS B Parallelogram Construction Methods
  95.    wt: 3:   PS A Kite Construction Methods
  96.    wt: 3:   21 Parallelograms
  97.    wt: 3:   14 Parallel Lines Postulate
  98.    wt: 3:   10 Dropping a perpendicular to line
  99.    wt: 3:   9 Construction of a right bisector
  100.    wt: 3:   1 Initial Concepts and Terms
  101.    wt: 2:   K LAMP Musings Science Education
  102.    wt: 2:   J LAMP Introduction Extrinsic Origins
  103.    wt: 2:   I LAMP Introduction Study Habits
  104.    wt: 2:   H LAMP Introduction Instructional Concepts
  105.    wt: 2:   G LAMP Introduction Problem Solving Skills
  106.    wt: 2:   F LAMP Introduction Prerequisites
  107.    wt: 2:   E LAMP Introduction Modern Mathematics
  108.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  109.    wt: 2:   A Introduction Objectives
  110.    wt: 2:   Ramblings Introduction Algebra Essay
  111.    wt: 2:   Skills Chapter 2 Geometry
  112.    wt: 2:   Skills Chapter 0 Introduction
  113.    wt: 2:   11 pure mathematics
  114.    wt: 2:   10 statistics
  115.    wt: 2:   9 combinatorics probability sets
  116.    wt: 2:   7 logic review and decimals an odd combination
  117.    wt: 2:   6 polynomials etc
  118.    wt: 2:   5 logarithms and exponentials etc
  119.    wt: 2:   4 algebra
  120.    wt: 2:   2 arithmetic with signed numbers
  121.    wt: 2:   1 arithmetic with unsigned numbers
  122.    wt: 2:   What is POMME
  123.    wt: 2:   8 Radian Measures of Common Angles
  124.    wt: 2:   7 Radian Measures in special Triangles
  125.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  126.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  127.    wt: 2:   1 Degrees and Radians Introduction
  128.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  129.    wt: 2:   Parallel Lines and Interior Angles
  130.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  131.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  132.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  133.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  134.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  135.    wt: 2:   17 tangent function angle sum formulas
  136.    wt: 2:   32 seven rows of pascals triangle
  137.    wt: 2:   29 secant cosecant and cotangent for acute angles
  138.    wt: 2:   25 tangent double angle formula Slope connection
  139.    wt: 2:   24 tangent Angle Difference Formula
  140.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  141.    wt: 2:   21 sine and cosine Half Angle Formulas
  142.    wt: 2:   20 sine and cosine Double Angle Formulas
  143.    wt: 2:   17C sine and cosine double triple angle formulas
  144.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  145.    wt: 2:   15 sine cosine Complementary Angle Relations
  146.    wt: 2:   11 tangent function undefined when terminal side vertical
  147.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  148.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  149.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  150.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  151.    wt: 2:   2 Quadrant I reference Angles
  152.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  153.    wt: 2:   11 sine and cosine double triple angle formulas
  154.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  155.    wt: 2:   8 Triangles Cascade Problem Solving
  156.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  157.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  158.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  159.    wt: 2:   1 Angle Measurement with Degrees
  160.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  161.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  162.    wt: 2:   12 Triangles Similarity More Problems
  163.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  164.    wt: 2:   9 Similarity of Triangles Usual Criteria
  165.    wt: 2:   8 Similarity of Triangles and Polygons
  166.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  167.    wt: 2:   11 Triangle Inequality
  168.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  169.    wt: 2:   4 Angles on Maps Plans drawn to scale
  170.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  171.    wt: 1:   Appendix 2 primary school Arithmetic 01
  172.    wt: 1:   Appendix 1 primary and preschool mathematic
  173.    wt: 1:   Skills Chapter 5 Calculus
  174.    wt: 1:   Skills Chapter 4 Logic
  175.    wt: 1:   Ramblings Extrinsic numbers theory
  176.    wt: 1:   Skills Chapter 3 Algebra
  177.    wt: 1:   Skills Chapter 1 Arithmetic
  178.    wt: 1:   chapitre 01 00 Introduction
  179.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  180.    wt: 1:   11 Help and Defend Your Child or Teens Education
  181.    wt: 1:   Ages 12 to 14 Geometry
  182.    wt: 1:   Ages 10 to 12 Geometry
  183.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  184.    wt: 1:   1 Geometric Introduction of Function Notation
  185.    wt: 1:   Introduction Reading Guide
  186.    wt: 1:   16 cotangent function Definition Graph and Inverse
  187.    wt: 1:   15 cosecant function Definition Graph and Inverse
  188.    wt: 1:   14 secant function Definition Graph and Inverse
  189.    wt: 1:   13 cosecant function Definition Graph and Inverse
  190.    wt: 1:   12 motivation for term arctan
  191.    wt: 1:   11 arctan left inverse of tangent Graph
  192.    wt: 1:   10 arctan left inverse of tangent Definition
  193.    wt: 1:   9 motivation for name arcsin
  194.    wt: 1:   8 arcsin left inverse of sine Graph
  195.    wt: 1:   7 arcsin left inverse of sine Definition
  196.    wt: 1:   6 Graph of arccos function
  197.    wt: 1:   5 Swapping Coordinates is a reflection
  198.    wt: 1:   4 possible motivation for term arccos
  199.    wt: 1:   3 Left Inverse of cosine arccos definition
  200.    wt: 1:   2 cosine function more properties
  201.    wt: 1:   1 cosine function properties
  202.    wt: 1:   9 Summary Degrees to Radians and back
  203.    wt: 1:   6 Radian Measure to Degrees
  204.    wt: 1:   5 Degrees to Radian Measure
  205.    wt: 1:   2 Radian Measure Numerical Value of one degree
  206.    wt: 1:   A Global Time and Navigation
  207.    wt: 1:   15 Dot and Cross Product
  208.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  209.    wt: 1:   13 Velocity Vectors in Physics
  210.    wt: 1:   12 From Applied To Pure Mathematics
  211.    wt: 1:   11 Component Method
  212.    wt: 1:   10 Parallelogram Addition Method
  213.    wt: 1:   9 Head to Tail Coordinate View
  214.    wt: 1:   8 Parallel Vectors
  215.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  216.    wt: 1:   6 Vectors with Coordinates
  217.    wt: 1:   5 Head To Tail Arrow Addition
  218.    wt: 1:   4 Resultant of a Sum of Movements
  219.    wt: 1:   3 Navigation with Arrows or Vectors
  220.    wt: 1:   2 Signed Coordinates
  221.    wt: 1:   1 Unsigned Coordinates
  222.    wt: 1:   Vector and Complex Number Applet
  223.    wt: 1:   4 graphing y=Asin(x c)
  224.    wt: 1:   3 graphing y=f(x c) plus K
  225.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  226.    wt: 1:   1 graphing y=f(x a)
  227.    wt: 1:   Parallel Lines and Parallel Transversals
  228.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  229.    wt: 1:   Straight Lines ASA Intersection Study More
  230.    wt: 1:   Straight Lines ASA Intersection Study
  231.    wt: 1:   Straight Lines Instersection Solving Equations
  232.    wt: 1:   Straight Lines Intersection of
  233.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  234.    wt: 1:   C Straight Lines Slope from Coordinates
  235.    wt: 1:   B Straight Line Slope Scaling Properties More
  236.    wt: 1:   A Straight Line Slope Scaling Properties
  237.    wt: 1:   14 Straight Lines Equations General Case
  238.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  239.    wt: 1:   12 Straight Lines Graphing mx plus b
  240.    wt: 1:   11 Straight Lines Graphing y=mx
  241.    wt: 1:   10 Straight Lines through Origin Equations More
  242.    wt: 1:   9 Straight Lines through Origin Equations
  243.    wt: 1:   8 Straight Lines Equation for vertical
  244.    wt: 1:   7 Tangent Function is odd on this domain
  245.    wt: 1:   5 Tangent Function Graph
  246.    wt: 1:   4 Tangent Function Properties
  247.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  248.    wt: 1:   1 Straight Lines Slope Concept
  249.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  250.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  251.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  252.    wt: 1:   31 basic secant cosecant cotangent trig identities
  253.    wt: 1:   30 unit circle calculation of six trigonometric functions
  254.    wt: 1:   28 Expressing products of sines cosines as sums
  255.    wt: 1:   27 Logarithmic use of products of sines and cosines
  256.    wt: 1:   26 Formulas for products of sines and cosines
  257.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  258.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  259.    wt: 1:   18 sum of sinusoidal waves as a single wave
  260.    wt: 1:   17G Pythagorean Theorem Converse
  261.    wt: 1:   17F Law of cosines
  262.    wt: 1:   17E Trig Formulas for dot and cross Products
  263.    wt: 1:   17D cis formulas for sine cosines and tangent
  264.    wt: 1:   17A The complex number valued trig function cis
  265.    wt: 1:   14 cosine even and sine and tangent are odd
  266.    wt: 1:   13 Graph of tangent function many periods
  267.    wt: 1:   12 Graph of tangent function for one period
  268.    wt: 1:   10 Graphs of sines and cosines many periods
  269.    wt: 1:   9 Graphs of sine and cosine over one period
  270.    wt: 1:   8 period of tangent function
  271.    wt: 1:   7 period of sine and cosine
  272.    wt: 1:   1 Unit Points Reflections Rotations
  273.    wt: 1:   Unit Circle Development of Trigonometry
  274.    wt: 1:   21 Logarithms Powers and Exponentials
  275.    wt: 1:   20 N th Roots of Complex Numbers
  276.    wt: 1:   19 N th Roots of Unity
  277.    wt: 1:   18 Sixth Roots of Unity
  278.    wt: 1:   17 Cube Roots of unity
  279.    wt: 1:   16 References and Originality Question
  280.    wt: 1:   15 Pythagorean Theorem Converse
  281.    wt: 1:   14 Law of cosines
  282.    wt: 1:   13 Trig Formulas for dot and cross Products
  283.    wt: 1:   12 cis formulas for sine cosines and tangent
  284.    wt: 1:   9 The complex number valued trig function cis
  285.    wt: 1:   8 Unit Circle Development of Trigonometry
  286.    wt: 1:   7 Second Way to Calculate Products
  287.    wt: 1:   6 Field Properties of Complex Number
  288.    wt: 1:   5 An Easy Proof of the Distributive Law
  289.    wt: 1:   4 Multiplication Properties
  290.    wt: 1:   3 Addition Properties
  291.    wt: 1:   2 Complex Numbers made easier we hope
  292.    wt: 1:   1 Rectangular Polar Coordinates Review
  293.    wt: 1:   Appetizer A Complex Number Applet
  294.    wt: 1:   7 Trignometric Ratios Unit Circle
  295.    wt: 1:   3 Trigonometric Ratios sine and cosine
  296.    wt: 1:   Why Trigonometry the whyslopes view
  297.    wt: 1:   7 Translations Rotations Reflections Dilatations
  298.    wt: 1:   6 Geometric Diagrams in Class
  299.    wt: 1:   4 Similarity Definition with Coordinate
  300.    wt: 1:   3 Similarity by Design with coordinates
  301.    wt: 1:   2 Similarity By Design
  302.    wt: 1:   1 Early Concept of Like or Similar Shapes
  303.    wt: 1:   Four Simple Exercises
  304.    wt: 1:   12 Links Lessons elsewhere
  305.    wt: 1:   11 A Partial Summary
  306.    wt: 1:   10 Midpoint of [a b] and [b a]
  307.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  308.    wt: 1:   8 Mid Point Formula
  309.    wt: 1:   7 Exercises to test skill and concept mastery
  310.    wt: 1:   6 Intersection of lines by solving linear systems
  311.    wt: 1:   5 Algebraic View of Slopes
  312.    wt: 1:   4 Equations for lines three forms
  313.    wt: 1:   3 Slope product for perpendicular lines
  314.    wt: 1:   2 point slope equation for a line
  315.    wt: 1:   1 Numerical view of lines and their equations
  316.    wt: 1:   What is and is not here
  317.    wt: 1:   13 Pythagorean spatial distance formulas
  318.    wt: 1:   12 Spatial Coordinates
  319.    wt: 1:   10 Pythagorean plane distance formula
  320.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  321.    wt: 1:   8 Distance Between Points on a Line
  322.    wt: 1:   7 Complex Numbers Appetizer
  323.    wt: 1:   6 Polar Multiplication and Rotation
  324.    wt: 1:   5 Cartesian Addition and Translation
  325.    wt: 1:   4 Polar Coordinates to and from
  326.    wt: 1:   3 Rectangular Coordinates Review
  327.    wt: 1:   2 Cartesian Coordinates with signs
  328.    wt: 1:   1 Cartesian Coordinates sans signs
  329.    wt: 1:   A Measurement with Ruler Proper Use
  330.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  331.    wt: 1:   6 Figuring with Maps Not to Scale
  332.    wt: 1:   3 Lengths and Areas on Maps and Plans
  333.    wt: 1:   2 Measuring Area Directly
  334.    wt: 1:   1 Length Measurement
  335.    wt: 1:   About Folder Contents
  336.    wt: 1:   5 Areas of Rectangles Revisited
  337.    wt: 1:   5 Triangle Area Formula Backwards
  338.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  339.    wt: 1:   5 Algebraic Solutions Introduction
  340.    wt: 1:   7 Compound Interest Formula Introduction
  341.    wt: 1:   3 Triangle Area Formula Example
  342.    wt: 1:   2 Another Rectangle Area Formula Example
  343.    wt: 1:   1 Squares and Square Roots Introduction
  344.    wt: 1:   8 GCD from Euclidean Algorithm
  345.    wt: 1:   1 Least Common Multiples LCM Introduction
  346.    wt: 1:   4 video Prime Factorization Introduction
  347.    wt: 1:   18 Chain Rule Introduction
  348.    wt: 1:   10 Three one sided limits with infinite values
  349.    wt: 1:   1 Numerical introduction
  350.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  351.    wt: 1:   C Triangle Inequalities
  352.    wt: 1:   A1. Introduction
  353.    wt: 1:   Chapter 1.Introduction
  354.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  355.    wt: 1:   Postscript B Mathematics Education References
  356.    wt: 1:   Chapter 7 Two Treatments of Geometry
  357.    wt: 1:   Chapter 1 Introduction
  358.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  359.    wt: 1:   Chapter 1 Introduction
  360.    wt: 1:   Chapter 6 More Algebra and Geometry
  361.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  362.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  363.    wt: 1:   Mathematics Education References
  364.    wt: 1:   Mathematics Education References
  365.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
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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