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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  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/
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  1.    wt: 3:   4 Side Side Side
  2.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  3.    wt: 2:   3 Euclidean Geometry Leanly
  4.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  5.    wt: 2:   12 Side Angle Side Failure
  6.    wt: 2:   5 Side Angle Side
  7.    wt: 2:   Short Course on Euclidean Geometry
  8.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  9.    wt: 1:   K LAMP Musings Science Education
  10.    wt: 1:   J LAMP Introduction Extrinsic Origins
  11.    wt: 1:   I LAMP Introduction Study Habits
  12.    wt: 1:   H LAMP Introduction Instructional Concepts
  13.    wt: 1:   G LAMP Introduction Problem Solving Skills
  14.    wt: 1:   F LAMP Introduction Prerequisites
  15.    wt: 1:   E LAMP Introduction Modern Mathematics
  16.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  17.    wt: 1:   A Introduction Objectives
  18.    wt: 1:   Ramblings Introduction Algebra Essay
  19.    wt: 1:   Skills Chapter 2 Geometry
  20.    wt: 1:   Skills Chapter 0 Introduction
  21.    wt: 1:   8 analytic geometry etc
  22.    wt: 1:   links Education Resources online
  23.    wt: 1:   Mathematics Education Professors
  24.    wt: 1:   modern education
  25.    wt: 1:   Education Reform Inconsistencies
  26.    wt: 1:   three goals for Mathematics Education
  27.    wt: 1:   02 20 mathematics education references
  28.    wt: 1:   Education in mathematics science and technology
  29.    wt: 1:   Four ways to improve education reform
  30.    wt: 1:   education an empirical art
  31.    wt: 1:   chapitre 01 00 Introduction
  32.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  33.    wt: 1:   11 Help and Defend Your Child or Teens Education
  34.    wt: 1:   Ages 12 to 14 Geometry
  35.    wt: 1:   Ages 10 to 12 Geometry
  36.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  37.    wt: 1:   1 Geometric Introduction of Function Notation
  38.    wt: 1:   Introduction Reading Guide
  39.    wt: 1:   1 Degrees and Radians Introduction
  40.    wt: 1:   11 tangent function undefined when terminal side vertical
  41.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  42.    wt: 1:   11 Triangle Similarity Missing Side Problem
  43.    wt: 1:   17 Right Bisectors of Triangle Sides
  44.    wt: 1:   13 Angle Side Angle Failure
  45.    wt: 1:   7 Angle Side Angle
  46.    wt: 1:   5 Algebraic Solutions Introduction
  47.    wt: 1:   7 Compound Interest Formula Introduction
  48.    wt: 1:   1 Squares and Square Roots Introduction
  49.    wt: 1:   8 GCD from Euclidean Algorithm
  50.    wt: 1:   1 Least Common Multiples LCM Introduction
  51.    wt: 1:   4 video Prime Factorization Introduction
  52.    wt: 1:   18 Chain Rule Introduction
  53.    wt: 1:   10 Three one sided limits with infinite values
  54.    wt: 1:   1 Numerical introduction
  55.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  56.    wt: 1:   A1. Introduction
  57.    wt: 1:   Chapter 1.Introduction
  58.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  59.    wt: 1:   Postscript B Mathematics Education References
  60.    wt: 1:   Chapter 7 Two Treatments of Geometry
  61.    wt: 1:   Chapter 1 Introduction
  62.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  63.    wt: 1:   Chapter 1 Introduction
  64.    wt: 1:   Chapter 6 More Algebra and Geometry
  65.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  66.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  67.    wt: 1:   Mathematics Education References
  68.    wt: 1:   Mathematics Education References
  69.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics

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359 matches:

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