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/
  2.    wt: 3:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 2:   LAMP Lean Applied Mathematics Program/
  4.    wt: 2:   6 Trigonometry first steps/
  5.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  6.    wt: 2:   1 Maps Plans Measurement/
  7.    wt: 1:   Archives/
  8.    wt: 1:   Mathematics Skills Year by Year/
  9.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  10.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  11.    wt: 1:   13 Vectors/
  12.    wt: 1:   12 Function Translating and Rescaling/
  13.    wt: 1:   11 Parallel Straight Lines and Transversals/
  14.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  15.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  16.    wt: 1:   8 Unit Circle Trigonometry/
  17.    wt: 1:   7 Complex Numbers/
  18.    wt: 1:   5 What is Similarity/
  19.    wt: 1:   4 Lines and Slopes Take 1/
  20.    wt: 1:   3 Cartesian and Polar Coordinates/
  21.    wt: 1:   Geometry maps plans trigonometry vectors/
  22.    wt: 1:   8 Unifying Theme For Algebra/
  23.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  24.    wt: 1:   11 Squares and Square Roots/
  25.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  26.    wt: 1:   9 Combinatorics Trees Tables and Products/
  27.    wt: 1:   8 Arithmetic with Signed Numbers/
  28.    wt: 1:   7 Arithmetic and Fractions with Units/
  29.    wt: 1:   6 Fractions and Ratios/
  30.    wt: 1:   5 Integers/
  31.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  32.    wt: 1:   3 Prime Factorization Skills/
  33.    wt: 1:   D Decimal Long Division Methods/
  34.    wt: 1:   C Decimal Multiplication Methods/
  35.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  36.    wt: 1:   A Decimal Counting and Adding Methods/
  37.    wt: 1:   2 Arithmetic with Decimals/
  38.    wt: 1:   1 Decimal Place Value/
  39.    wt: 1:   Arithmetic and Number Theory Skills/
  40.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  41.    wt: 1:   Work and Study Tips/
  42.    wt: 1:   Mathematics 506 Lessons/
  43.    wt: 1:   Secondary Mathematics A Practical Approach/
  44.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  45.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

150 matches:

  1.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  2.    wt: 2:   Mathematics Education Professors
  3.    wt: 2:   three goals for Mathematics Education
  4.    wt: 2:   02 20 mathematics education references
  5.    wt: 2:   Education in mathematics science and technology
  6.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  7.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  8.    wt: 2:   16 Secondary Mathematics Tips
  9.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  10.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  11.    wt: 2:   Postscript B Mathematics Education References
  12.    wt: 2:   Helping the Blind in Logic and Mathematics
  13.    wt: 2:   Mathematics Education References
  14.    wt: 2:   Mathematics Education References
  15.    wt: 1:   Appendix 1 primary and preschool mathematic
  16.    wt: 1:   K LAMP Musings Science Education
  17.    wt: 1:   E LAMP Introduction Modern Mathematics
  18.    wt: 1:   Ramblings Extrinsic numbers theory
  19.    wt: 1:   11 pure mathematics
  20.    wt: 1:   why bother
  21.    wt: 1:   Teach the teachers plus goals
  22.    wt: 1:   links Education Resources online
  23.    wt: 1:   key notes and themes
  24.    wt: 1:   modern education
  25.    wt: 1:   mathematics in context
  26.    wt: 1:   Education Reform Inconsistencies
  27.    wt: 1:   Maps Plans Drawings
  28.    wt: 1:   Secondary Three Mathematics
  29.    wt: 1:   Secondary Two Mathematics
  30.    wt: 1:   Secondary One Mathematics
  31.    wt: 1:   talk the algebra talk
  32.    wt: 1:   teaching tips
  33.    wt: 1:   mathematics curriculum shifts
  34.    wt: 1:   the trouble with algebra
  35.    wt: 1:   04 29 New Mathematics Curriculum
  36.    wt: 1:   04 25 when to stop or suspend mathemat
  37.    wt: 1:   three aims for mathematics students
  38.    wt: 1:   Operational Viewpoint to Value
  39.    wt: 1:   Theory of Knowledge
  40.    wt: 1:   mathematics instruction in general
  41.    wt: 1:   three kinds of reason in mathematics
  42.    wt: 1:   Four ways to improve education reform
  43.    wt: 1:   need for a mixed mathematics curriculum
  44.    wt: 1:   Leaner mathematics curriculum
  45.    wt: 1:   education an empirical art
  46.    wt: 1:   words for mathematics instructor
  47.    wt: 1:   chapitre 07 01 principle D induction mathematique
  48.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  49.    wt: 1:   22 Student Centered Highschool Mathematics
  50.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  51.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  52.    wt: 1:   18 Primary School Mathematics
  53.    wt: 1:   12 Goals and Objectives For Mathematics
  54.    wt: 1:   11 Help and Defend Your Child or Teens Education
  55.    wt: 1:   8 The Effect of Negative Remarks
  56.    wt: 1:   17 Function maxima minima and their location
  57.    wt: 1:   9 Set theory term relation possible origins
  58.    wt: 1:   4 Function notation in and beyond mathematics
  59.    wt: 1:   9 quadratics physical and further context
  60.    wt: 1:   5 quadratics completing the square
  61.    wt: 1:   Quadratics in 10 steps
  62.    wt: 1:   12 From Applied To Pure Mathematics
  63.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  64.    wt: 1:   17G Pythagorean Theorem Converse
  65.    wt: 1:   17A The complex number valued trig function cis
  66.    wt: 1:   1 Unit Points Reflections Rotations
  67.    wt: 1:   15 Pythagorean Theorem Converse
  68.    wt: 1:   9 The complex number valued trig function cis
  69.    wt: 1:   5 An Easy Proof of the Distributive Law
  70.    wt: 1:   Why Trigonometry the whyslopes view
  71.    wt: 1:   11 Triangle Similarity Missing Side Problem
  72.    wt: 1:   10 Midpoint of [a b] and [b a]
  73.    wt: 1:   8 Mid Point Formula
  74.    wt: 1:   2 point slope equation for a line
  75.    wt: 1:   1 Numerical view of lines and their equations
  76.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  77.    wt: 1:   8 Distance Between Points on a Line
  78.    wt: 1:   PS H Distributive Law For Complex Numbers
  79.    wt: 1:   PS G Rotation Distributes over Addition
  80.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  81.    wt: 1:   PS E Multiplication with Polar Coordinates
  82.    wt: 1:   PS D Addition with Cartesian Coordinates
  83.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  84.    wt: 1:   PS B Parallelogram Construction Methods
  85.    wt: 1:   PS A Kite Construction Methods
  86.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  87.    wt: 1:   6 Figuring with Maps Not to Scale
  88.    wt: 1:   4 Angles on Maps Plans drawn to scale
  89.    wt: 1:   3 Lengths and Areas on Maps and Plans
  90.    wt: 1:   9 Division with Digits after Decimal Point
  91.    wt: 1:   4 Location of Point in Decimal Addition
  92.    wt: 1:   3 Location of Point in Decimal Multiplication
  93.    wt: 1:   4 Commutative Law Groups Counting Form
  94.    wt: 1:   1 The Counting Origins of Numbers
  95.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  96.    wt: 1:   8 Coordinates for Maps and Planes
  97.    wt: 1:   2 Another Rectangle Area Formula Example
  98.    wt: 1:   3 signed coordinates for maps and planes
  99.    wt: 1:   20 Dividing Fractions the Why
  100.    wt: 1:   A Associative Law Theorectical Note
  101.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  102.    wt: 1:   11 Another Single Digit Divisor Example
  103.    wt: 1:   8 Correcting the Mistake
  104.    wt: 1:   Subtraction Another Video Lesson
  105.    wt: 1:   7 Adding decimal fractions using decimal point
  106.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  107.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  108.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  109.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  110.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  111.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  112.    wt: 1:   The 20 Times Table
  113.    wt: 1:   The 12 Times Table Visually
  114.    wt: 1:   6 Continuity at a point
  115.    wt: 1:   5 Jumps and absence of unlimited error control
  116.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  117.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  118.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  119.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  120.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  121.    wt: 1:   G.3 Constant Difference Theorem Proof
  122.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  123.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  124.    wt: 1:   F.5b Extreme Value Theorem
  125.    wt: 1:   F.5a Equicontinuity Theorems
  126.    wt: 1:   F.4 Finite Covering Theorem
  127.    wt: 1:   F.3 Intermediate Value Theorem
  128.    wt: 1:   F.2 Closed Range Theorem
  129.    wt: 1:   B3 Bolzano Weierstrass Theorem
  130.    wt: 1:   Appendix E. How To Study Mathematics and Why
  131.    wt: 1:   Chapter 25. Mathematical Induction Examples
  132.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  133.    wt: 1:   Chapter 16. Painless Theorem Proving
  134.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  135.    wt: 1:   Chapter 9 The Two Ends
  136.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  137.    wt: 1:   Chapter 2 For and Against Mathematics
  138.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  139.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  140.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  141.    wt: 1:   R Why Learn Mathematics Skills
  142.    wt: 1:   O On Learning Mathematics and Science
  143.    wt: 1:   N Mathematics Prepare for College Studies
  144.    wt: 1:   F. The student teacher tutor feedback loop
  145.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  146.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  147.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  148.    wt: 1:   Systematic Algebra Skill Development Missing Links
  149.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  150.    wt: 1:   The Math Forum and Site Content

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687 matches:

  1.    wt: 6:   Mathematics Education Professors
  2.    wt: 6:   three goals for Mathematics Education
  3.    wt: 6:   02 20 mathematics education references
  4.    wt: 6:   Education in mathematics science and technology
  5.    wt: 5:   why bother
  6.    wt: 5:   Teach the teachers plus goals
  7.    wt: 5:   links Education Resources online
  8.    wt: 5:   key notes and themes
  9.    wt: 5:   modern education
  10.    wt: 5:   mathematics in context
  11.    wt: 5:   Education Reform Inconsistencies
  12.    wt: 5:   Maps Plans Drawings
  13.    wt: 5:   Secondary Three Mathematics
  14.    wt: 5:   Secondary Two Mathematics
  15.    wt: 5:   Secondary One Mathematics
  16.    wt: 5:   talk the algebra talk
  17.    wt: 5:   teaching tips
  18.    wt: 5:   mathematics curriculum shifts
  19.    wt: 5:   the trouble with algebra
  20.    wt: 5:   04 29 New Mathematics Curriculum
  21.    wt: 5:   04 25 when to stop or suspend mathemat
  22.    wt: 5:   three aims for mathematics students
  23.    wt: 5:   Operational Viewpoint to Value
  24.    wt: 5:   Theory of Knowledge
  25.    wt: 5:   mathematics instruction in general
  26.    wt: 5:   three kinds of reason in mathematics
  27.    wt: 5:   Four ways to improve education reform
  28.    wt: 5:   need for a mixed mathematics curriculum
  29.    wt: 5:   Leaner mathematics curriculum
  30.    wt: 5:   education an empirical art
  31.    wt: 5:   words for mathematics instructor
  32.    wt: 4:   C LAMP Introduction Culture in Mathematics Education
  33.    wt: 4:   11 pure mathematics
  34.    wt: 4:   which way to go
  35.    wt: 4:   website reviews
  36.    wt: 4:   three goals to set for students
  37.    wt: 4:   permissions for teachers
  38.    wt: 4:   Math Ed if it must be short make it lean effective
  39.    wt: 4:   Applied Maths Program14092009 POMME variant
  40.    wt: 4:   activities for students
  41.    wt: 4:   site origins
  42.    wt: 4:   site eurekas
  43.    wt: 4:   About site lesson plans
  44.    wt: 4:   teacher certification
  45.    wt: 4:   learning takes time
  46.    wt: 4:   grouping students according to ability
  47.    wt: 4:   what should be learnt and When
  48.    wt: 4:   Postscript 2007 01 10
  49.    wt: 4:   five decades make a difference
  50.    wt: 4:   how letters appear
  51.    wt: 4:   three difficulties
  52.    wt: 4:   What to Tell Students
  53.    wt: 4:   geometric implications for algebra
  54.    wt: 4:   teaching tutoring algebraic reason
  55.    wt: 4:   Lessening Algebra Difficulties
  56.    wt: 4:   05 13 OldSiteEntrancePage
  57.    wt: 4:   02 21 words for teachers
  58.    wt: 4:   standards for course material
  59.    wt: 4:   formal or informal peer review
  60.    wt: 4:   Different Kinds of Reasoning in maths
  61.    wt: 4:   cultivating intelligence
  62.    wt: 4:   How to be a better instructor
  63.    wt: 4:   Motivation and Context Problem
  64.    wt: 4:   Prequel In For A Penny In For A Pound
  65.    wt: 4:   fairness and inductive principles for instruction
  66.    wt: 3:   Appendix 1 primary and preschool mathematic
  67.    wt: 3:   K LAMP Musings Science Education
  68.    wt: 3:   E LAMP Introduction Modern Mathematics
  69.    wt: 3:   Ramblings Extrinsic numbers theory
  70.    wt: 3:   10 statistics
  71.    wt: 3:   9 combinatorics probability sets
  72.    wt: 3:   8 analytic geometry etc
  73.    wt: 3:   7 logic review and decimals an odd combination
  74.    wt: 3:   6 polynomials etc
  75.    wt: 3:   5 logarithms and exponentials etc
  76.    wt: 3:   4 algebra
  77.    wt: 3:   3 Euclidean Geometry Leanly
  78.    wt: 3:   2 arithmetic with signed numbers
  79.    wt: 3:   1 arithmetic with unsigned numbers
  80.    wt: 3:   What is POMME
  81.    wt: 3:   Why Trigonometry the whyslopes view
  82.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  83.    wt: 3:   PS H Distributive Law For Complex Numbers
  84.    wt: 3:   PS G Rotation Distributes over Addition
  85.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  86.    wt: 3:   PS E Multiplication with Polar Coordinates
  87.    wt: 3:   PS D Addition with Cartesian Coordinates
  88.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  89.    wt: 3:   PS B Parallelogram Construction Methods
  90.    wt: 3:   PS A Kite Construction Methods
  91.    wt: 3:   8 More Use of Maps Not Drawn to Scale
  92.    wt: 3:   6 Figuring with Maps Not to Scale
  93.    wt: 3:   4 Angles on Maps Plans drawn to scale
  94.    wt: 3:   3 Lengths and Areas on Maps and Plans
  95.    wt: 3:   Postscript B Mathematics Education References
  96.    wt: 3:   Helping the Blind in Logic and Mathematics
  97.    wt: 3:   Mathematics Education References
  98.    wt: 3:   Mathematics Education References
  99.    wt: 2:   Appendix 2 primary school Arithmetic 01
  100.    wt: 2:   J LAMP Introduction Extrinsic Origins
  101.    wt: 2:   I LAMP Introduction Study Habits
  102.    wt: 2:   H LAMP Introduction Instructional Concepts
  103.    wt: 2:   G LAMP Introduction Problem Solving Skills
  104.    wt: 2:   F LAMP Introduction Prerequisites
  105.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  106.    wt: 2:   A Introduction Objectives
  107.    wt: 2:   Skills Chapter 5 Calculus
  108.    wt: 2:   Skills Chapter 4 Logic
  109.    wt: 2:   Ramblings Introduction Algebra Essay
  110.    wt: 2:   Skills Chapter 3 Algebra
  111.    wt: 2:   Skills Chapter 2 Geometry
  112.    wt: 2:   Skills Chapter 1 Arithmetic
  113.    wt: 2:   Skills Chapter 0 Introduction
  114.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  115.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  116.    wt: 2:   16 Secondary Mathematics Tips
  117.    wt: 2:   12 From Applied To Pure Mathematics
  118.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  119.    wt: 2:   17G Pythagorean Theorem Converse
  120.    wt: 2:   17A The complex number valued trig function cis
  121.    wt: 2:   1 Unit Points Reflections Rotations
  122.    wt: 2:   15 Pythagorean Theorem Converse
  123.    wt: 2:   9 The complex number valued trig function cis
  124.    wt: 2:   5 An Easy Proof of the Distributive Law
  125.    wt: 2:   8 Triangles Cascade Problem Solving
  126.    wt: 2:   7 Trignometric Ratios Unit Circle
  127.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  128.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  129.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  130.    wt: 2:   3 Trigonometric Ratios sine and cosine
  131.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  132.    wt: 2:   1 Angle Measurement with Degrees
  133.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  134.    wt: 2:   11 Triangle Similarity Missing Side Problem
  135.    wt: 2:   10 Midpoint of [a b] and [b a]
  136.    wt: 2:   8 Mid Point Formula
  137.    wt: 2:   2 point slope equation for a line
  138.    wt: 2:   1 Numerical view of lines and their equations
  139.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  140.    wt: 2:   8 Distance Between Points on a Line
  141.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  142.    wt: 2:   21 Parallelograms
  143.    wt: 2:   19 Right Triangle Similarity
  144.    wt: 2:   18 Triangle Similarity Take 1
  145.    wt: 2:   17 Right Bisectors of Triangle Sides
  146.    wt: 2:   16 Angles Subtended By Chords and Diameters
  147.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  148.    wt: 2:   14 Parallel Lines Postulate
  149.    wt: 2:   13 Angle Side Angle Failure
  150.    wt: 2:   12 Side Angle Side Failure
  151.    wt: 2:   11 Triangle Construction Fails
  152.    wt: 2:   10 Dropping a perpendicular to line
  153.    wt: 2:   9 Construction of a right bisector
  154.    wt: 2:   8 Isoceles Triangles
  155.    wt: 2:   7 Angle Side Angle
  156.    wt: 2:   6 Ruler and compass Angle Bisection
  157.    wt: 2:   5 Side Angle Side
  158.    wt: 2:   4 Side Side Side
  159.    wt: 2:   3 Isometry of Triangles Congruence
  160.    wt: 2:   2 Correspondence between Triangles
  161.    wt: 2:   1 Initial Concepts and Terms
  162.    wt: 2:   Short Course on Euclidean Geometry
  163.    wt: 2:   A Measurement with Ruler Proper Use
  164.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  165.    wt: 2:   2 Measuring Area Directly
  166.    wt: 2:   1 Length Measurement
  167.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  168.    wt: 2:   3 signed coordinates for maps and planes
  169.    wt: 2:   20 Dividing Fractions the Why
  170.    wt: 2:   A Associative Law Theorectical Note
  171.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  172.    wt: 2:   11 Another Single Digit Divisor Example
  173.    wt: 2:   8 Correcting the Mistake
  174.    wt: 2:   Subtraction Another Video Lesson
  175.    wt: 2:   7 Adding decimal fractions using decimal point
  176.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  177.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  178.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  179.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  180.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  181.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  182.    wt: 2:   The 20 Times Table
  183.    wt: 2:   The 12 Times Table Visually
  184.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  185.    wt: 2:   Chapter 9 The Two Ends
  186.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  187.    wt: 2:   Chapter 2 For and Against Mathematics
  188.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  189.    wt: 2:   R Why Learn Mathematics Skills
  190.    wt: 2:   O On Learning Mathematics and Science
  191.    wt: 2:   N Mathematics Prepare for College Studies
  192.    wt: 2:   F. The student teacher tutor feedback loop
  193.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  194.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  195.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  196.    wt: 2:   Systematic Algebra Skill Development Missing Links
  197.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  198.    wt: 1:   chapitre 07 01 principle D induction mathematique
  199.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  200.    wt: 1:   22 Student Centered Highschool Mathematics
  201.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  202.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  203.    wt: 1:   18 Primary School Mathematics
  204.    wt: 1:   12 Goals and Objectives For Mathematics
  205.    wt: 1:   11 Help and Defend Your Child or Teens Education
  206.    wt: 1:   8 The Effect of Negative Remarks
  207.    wt: 1:   Ages 12 to 14 Skills with take home value
  208.    wt: 1:   Ages 12 to 14 Geometry
  209.    wt: 1:   Ages 12 to 14 Arithmetic
  210.    wt: 1:   Ages 10 to 12 Geometry
  211.    wt: 1:   Ages 10 to 12 Arithmetic
  212.    wt: 1:   Ages 9 to 10
  213.    wt: 1:   Ages 8 to 9
  214.    wt: 1:   Ages 7 to 8
  215.    wt: 1:   Ages 6 to 7
  216.    wt: 1:   Ages 4 plus to 5 plus
  217.    wt: 1:   Ages 3 plus to 4 plus
  218.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  219.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  220.    wt: 1:   17 Function maxima minima and their location
  221.    wt: 1:   9 Set theory term relation possible origins
  222.    wt: 1:   4 Function notation in and beyond mathematics
  223.    wt: 1:   9 quadratics physical and further context
  224.    wt: 1:   5 quadratics completing the square
  225.    wt: 1:   Quadratics in 10 steps
  226.    wt: 1:   16 cotangent function Definition Graph and Inverse
  227.    wt: 1:   15 cosecant function Definition Graph and Inverse
  228.    wt: 1:   14 secant function Definition Graph and Inverse
  229.    wt: 1:   13 cosecant function Definition Graph and Inverse
  230.    wt: 1:   12 motivation for term arctan
  231.    wt: 1:   11 arctan left inverse of tangent Graph
  232.    wt: 1:   10 arctan left inverse of tangent Definition
  233.    wt: 1:   9 motivation for name arcsin
  234.    wt: 1:   8 arcsin left inverse of sine Graph
  235.    wt: 1:   7 arcsin left inverse of sine Definition
  236.    wt: 1:   6 Graph of arccos function
  237.    wt: 1:   5 Swapping Coordinates is a reflection
  238.    wt: 1:   4 possible motivation for term arccos
  239.    wt: 1:   3 Left Inverse of cosine arccos definition
  240.    wt: 1:   2 cosine function more properties
  241.    wt: 1:   1 cosine function properties
  242.    wt: 1:   9 Summary Degrees to Radians and back
  243.    wt: 1:   8 Radian Measures of Common Angles
  244.    wt: 1:   7 Radian Measures in special Triangles
  245.    wt: 1:   6 Radian Measure to Degrees
  246.    wt: 1:   5 Degrees to Radian Measure
  247.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  248.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  249.    wt: 1:   2 Radian Measure Numerical Value of one degree
  250.    wt: 1:   1 Degrees and Radians Introduction
  251.    wt: 1:   A Global Time and Navigation
  252.    wt: 1:   15 Dot and Cross Product
  253.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  254.    wt: 1:   13 Velocity Vectors in Physics
  255.    wt: 1:   11 Component Method
  256.    wt: 1:   10 Parallelogram Addition Method
  257.    wt: 1:   9 Head to Tail Coordinate View
  258.    wt: 1:   8 Parallel Vectors
  259.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  260.    wt: 1:   6 Vectors with Coordinates
  261.    wt: 1:   5 Head To Tail Arrow Addition
  262.    wt: 1:   4 Resultant of a Sum of Movements
  263.    wt: 1:   3 Navigation with Arrows or Vectors
  264.    wt: 1:   2 Signed Coordinates
  265.    wt: 1:   1 Unsigned Coordinates
  266.    wt: 1:   Vector and Complex Number Applet
  267.    wt: 1:   4 graphing y=Asin(x c)
  268.    wt: 1:   3 graphing y=f(x c) plus K
  269.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  270.    wt: 1:   1 graphing y=f(x a)
  271.    wt: 1:   Parallel Lines and Parallel Transversals
  272.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  273.    wt: 1:   Triangle Angles Sum To 180 Degrees
  274.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  275.    wt: 1:   Parallel Lines and Interior Angles
  276.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  277.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  278.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  279.    wt: 1:   Straight Lines ASA Intersection Study More
  280.    wt: 1:   Straight Lines ASA Intersection Study
  281.    wt: 1:   Straight Lines Instersection Solving Equations
  282.    wt: 1:   Straight Lines Intersection of
  283.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  284.    wt: 1:   C Straight Lines Slope from Coordinates
  285.    wt: 1:   B Straight Line Slope Scaling Properties More
  286.    wt: 1:   A Straight Line Slope Scaling Properties
  287.    wt: 1:   14 Straight Lines Equations General Case
  288.    wt: 1:   12 Straight Lines Graphing mx plus b
  289.    wt: 1:   11 Straight Lines Graphing y=mx
  290.    wt: 1:   10 Straight Lines through Origin Equations More
  291.    wt: 1:   9 Straight Lines through Origin Equations
  292.    wt: 1:   8 Straight Lines Equation for vertical
  293.    wt: 1:   7 Tangent Function is odd on this domain
  294.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  295.    wt: 1:   5 Tangent Function Graph
  296.    wt: 1:   4 Tangent Function Properties
  297.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  298.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  299.    wt: 1:   1 Straight Lines Slope Concept
  300.    wt: 1:   17 tangent function angle sum formulas
  301.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  302.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  303.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  304.    wt: 1:   32 seven rows of pascals triangle
  305.    wt: 1:   31 basic secant cosecant cotangent trig identities
  306.    wt: 1:   30 unit circle calculation of six trigonometric functions
  307.    wt: 1:   29 secant cosecant and cotangent for acute angles
  308.    wt: 1:   28 Expressing products of sines cosines as sums
  309.    wt: 1:   27 Logarithmic use of products of sines and cosines
  310.    wt: 1:   26 Formulas for products of sines and cosines
  311.    wt: 1:   25 tangent double angle formula Slope connection
  312.    wt: 1:   24 tangent Angle Difference Formula
  313.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  314.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  315.    wt: 1:   21 sine and cosine Half Angle Formulas
  316.    wt: 1:   20 sine and cosine Double Angle Formulas
  317.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  318.    wt: 1:   18 sum of sinusoidal waves as a single wave
  319.    wt: 1:   17F Law of cosines
  320.    wt: 1:   17E Trig Formulas for dot and cross Products
  321.    wt: 1:   17D cis formulas for sine cosines and tangent
  322.    wt: 1:   17C sine and cosine double triple angle formulas
  323.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  324.    wt: 1:   16 Right Triangle Complementary Angle Relations
  325.    wt: 1:   15 sine cosine Complementary Angle Relations
  326.    wt: 1:   14 cosine even and sine and tangent are odd
  327.    wt: 1:   13 Graph of tangent function many periods
  328.    wt: 1:   12 Graph of tangent function for one period
  329.    wt: 1:   11 tangent function undefined when terminal side vertical
  330.    wt: 1:   10 Graphs of sines and cosines many periods
  331.    wt: 1:   9 Graphs of sine and cosine over one period
  332.    wt: 1:   8 period of tangent function
  333.    wt: 1:   7 period of sine and cosine
  334.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  335.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  336.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  337.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  338.    wt: 1:   2 Quadrant I reference Angles
  339.    wt: 1:   Unit Circle Development of Trigonometry
  340.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  341.    wt: 1:   21 Logarithms Powers and Exponentials
  342.    wt: 1:   20 N th Roots of Complex Numbers
  343.    wt: 1:   19 N th Roots of Unity
  344.    wt: 1:   18 Sixth Roots of Unity
  345.    wt: 1:   17 Cube Roots of unity
  346.    wt: 1:   16 References and Originality Question
  347.    wt: 1:   14 Law of cosines
  348.    wt: 1:   13 Trig Formulas for dot and cross Products
  349.    wt: 1:   12 cis formulas for sine cosines and tangent
  350.    wt: 1:   11 sine and cosine double triple angle formulas
  351.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  352.    wt: 1:   8 Unit Circle Development of Trigonometry
  353.    wt: 1:   7 Second Way to Calculate Products
  354.    wt: 1:   6 Field Properties of Complex Number
  355.    wt: 1:   4 Multiplication Properties
  356.    wt: 1:   3 Addition Properties
  357.    wt: 1:   2 Complex Numbers made easier we hope
  358.    wt: 1:   1 Rectangular Polar Coordinates Review
  359.    wt: 1:   Appetizer A Complex Number Applet
  360.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  361.    wt: 1:   12 Triangles Similarity More Problems
  362.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  363.    wt: 1:   9 Similarity of Triangles Usual Criteria
  364.    wt: 1:   8 Similarity of Triangles and Polygons
  365.    wt: 1:   7 Translations Rotations Reflections Dilatations
  366.    wt: 1:   6 Geometric Diagrams in Class
  367.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  368.    wt: 1:   4 Similarity Definition with Coordinate
  369.    wt: 1:   3 Similarity by Design with coordinates
  370.    wt: 1:   2 Similarity By Design
  371.    wt: 1:   1 Early Concept of Like or Similar Shapes
  372.    wt: 1:   Four Simple Exercises
  373.    wt: 1:   12 Links Lessons elsewhere
  374.    wt: 1:   11 A Partial Summary
  375.    wt: 1:   7 Exercises to test skill and concept mastery
  376.    wt: 1:   6 Intersection of lines by solving linear systems
  377.    wt: 1:   5 Algebraic View of Slopes
  378.    wt: 1:   4 Equations for lines three forms
  379.    wt: 1:   3 Slope product for perpendicular lines
  380.    wt: 1:   What is and is not here
  381.    wt: 1:   13 Pythagorean spatial distance formulas
  382.    wt: 1:   12 Spatial Coordinates
  383.    wt: 1:   11 Triangle Inequality
  384.    wt: 1:   10 Pythagorean plane distance formula
  385.    wt: 1:   7 Complex Numbers Appetizer
  386.    wt: 1:   6 Polar Multiplication and Rotation
  387.    wt: 1:   5 Cartesian Addition and Translation
  388.    wt: 1:   4 Polar Coordinates to and from
  389.    wt: 1:   3 Rectangular Coordinates Review
  390.    wt: 1:   2 Cartesian Coordinates with signs
  391.    wt: 1:   1 Cartesian Coordinates sans signs
  392.    wt: 1:   About Folder Contents
  393.    wt: 1:   9 Division with Digits after Decimal Point
  394.    wt: 1:   4 Location of Point in Decimal Addition
  395.    wt: 1:   3 Location of Point in Decimal Multiplication
  396.    wt: 1:   4 Commutative Law Groups Counting Form
  397.    wt: 1:   1 The Counting Origins of Numbers
  398.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  399.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  400.    wt: 1:   6 Compound Interest Forward and Backwards
  401.    wt: 1:   5 Triangle Area Formula Backwards
  402.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  403.    wt: 1:   3 Linear Equation Literal Solution More
  404.    wt: 1:   2 Linear Equation Literal Solution
  405.    wt: 1:   1 Changing Calculations
  406.    wt: 1:   8 Coordinates for Maps and Planes
  407.    wt: 1:   2 Another Rectangle Area Formula Example
  408.    wt: 1:   arithmetic videos Real Player Format
  409.    wt: 1:   4 Greater More Less Than Signs in General
  410.    wt: 1:   3 Comparison of Negative Numbers
  411.    wt: 1:   2 More and Less Than with Unlike Signs
  412.    wt: 1:   1 More and Less Than for Counts and Measures
  413.    wt: 1:   5 Square Roots with primes more still
  414.    wt: 1:   4 Square Roots with primes more
  415.    wt: 1:   3 Properties of Square Roots with example
  416.    wt: 1:   2 Square Roots with Prime
  417.    wt: 1:   1 Squares and Square Roots Introduction
  418.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  419.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  420.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  421.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  422.    wt: 1:   13 GCD from given Prime Factorization
  423.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  424.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  425.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  426.    wt: 1:   8 GCD from Euclidean Algorithm
  427.    wt: 1:   7 GCD and LCM from prime factorization
  428.    wt: 1:   6 GCD from Prime
  429.    wt: 1:   5 Common Divisors 60 45 via Prime
  430.    wt: 1:   4 LCM of 8 and 10 via Prime
  431.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  432.    wt: 1:   2 Least Common Multiple LCM intro via list method
  433.    wt: 1:   1 Least Common Multiples LCM Introduction
  434.    wt: 1:   12 GCD 2700 288 via Prime
  435.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  436.    wt: 1:   4 Counting with Trees Product Rule Take I
  437.    wt: 1:   3 Counting with Tables and Trees II
  438.    wt: 1:   2 Counting with Tables and Trees I
  439.    wt: 1:   1 Counting and Counting Methods I
  440.    wt: 1:   11 What are real lengths and numbers
  441.    wt: 1:   10 dividing signed numbers
  442.    wt: 1:   9 subtracting signed numbers
  443.    wt: 1:   8 multiplying signed numbers
  444.    wt: 1:   7 negative and additive inverse
  445.    wt: 1:   6 adding signed numbers
  446.    wt: 1:   5 lengths and signs of numbers
  447.    wt: 1:   4 signed coordinates for regions in space
  448.    wt: 1:   2 signed and unsigned numbers as coordinates
  449.    wt: 1:   7 Converting or Changing Units
  450.    wt: 1:   6 Simplification of Fractions with Units
  451.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  452.    wt: 1:   4 Fractions with Units
  453.    wt: 1:   3 Multiplying Units and Numbers
  454.    wt: 1:   2 Equality and Units
  455.    wt: 1:   1 Addition and Subtraction with Units
  456.    wt: 1:   D Three Term Ratios
  457.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  458.    wt: 1:   B Fractions and Two Term Ratios
  459.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  460.    wt: 1:   22 Complex Compound Fractions
  461.    wt: 1:   21 Working With Signs
  462.    wt: 1:   21 Reciprocals for Fractions and Wholes
  463.    wt: 1:   19 Dividing Fractions How TO
  464.    wt: 1:   18 Efficient Ways to Multiply
  465.    wt: 1:   17 Efficient Ways to Add and Subtract
  466.    wt: 1:   16 Addition Subtraction Comparision Compared
  467.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  468.    wt: 1:   14 Adding and Subtracting with Like Denominators
  469.    wt: 1:   13 Fraction Comparison Algebraic View
  470.    wt: 1:   12 Fraction Comparison
  471.    wt: 1:   11 Simplification an Algebraic View
  472.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  473.    wt: 1:   9 Improper Fractions and Mixed Numbers
  474.    wt: 1:   8 Numerals Fractionals Quantals Take II
  475.    wt: 1:   7 Numerals Fractionals Quantals
  476.    wt: 1:   6 Multiplication of Mixed Numbers
  477.    wt: 1:   6 Multiplication Algebraically Take II
  478.    wt: 1:   5 Equivalent Fractions
  479.    wt: 1:   4 Fraction Multiplication
  480.    wt: 1:   3 Unit fraction of a fraction
  481.    wt: 1:   2 Unit Fraction Multiplication
  482.    wt: 1:   1 What is a fraction Take II
  483.    wt: 1:   1 What is a fraction
  484.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  485.    wt: 1:   D Remainders Modulo 11 Pair Rule
  486.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  487.    wt: 1:   B Integer Long Division Multiple Choices
  488.    wt: 1:   13 Subtraction with Additive Inverse
  489.    wt: 1:   12 Adding Integers More Examples
  490.    wt: 1:   11 Adding Integers Formulas and Examples
  491.    wt: 1:   10 Integer Multiplication Formulas
  492.    wt: 1:   9 Multiplying Integers
  493.    wt: 1:   8 Multiplication by Signed Numbers Integers
  494.    wt: 1:   7 Multiplication by Signs
  495.    wt: 1:   6 Multiplication by Natural Numbers
  496.    wt: 1:   5 Zero Movement and Additive Inverses
  497.    wt: 1:   4 Adding Movements wiht opposite directions
  498.    wt: 1:   3 Adding Movements with same direction
  499.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  500.    wt: 1:   1 Integers as Coordinates
  501.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  502.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  503.    wt: 1:   26 Divisibility by 2 3 5 Example
  504.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  505.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  506.    wt: 1:   23 Remainder Arithmetic Modulo 2
  507.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  508.    wt: 1:   21 Remainder Arithmetic Modulo 3
  509.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  510.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  511.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  512.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  513.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  514.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  515.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  516.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  517.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  518.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  519.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  520.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  521.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  522.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  523.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  524.    wt: 1:   5 Remainder Arithmetic Modulo 5
  525.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  526.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  527.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  528.    wt: 1:   1 Remainder Arithmetic Modulo 10
  529.    wt: 1:   20 Uniqueness of Prime Factorization
  530.    wt: 1:   19 video Prime Factorization Unique
  531.    wt: 1:   18 video Count Factors given Prime Factorization
  532.    wt: 1:   17 Identify and Count Factors using Primes
  533.    wt: 1:   16 video Factors of 980 using prime
  534.    wt: 1:   15 video Factors of 20 using Prime Factorization
  535.    wt: 1:   14 video Factors of 24 Take II
  536.    wt: 1:   13 video Factors of 24 using prime
  537.    wt: 1:   12 LCD GCD and LCM using Primes
  538.    wt: 1:   11 Efficient Square Rule Use
  539.    wt: 1:   10 video Prime Factorization upto 23 squared
  540.    wt: 1:   9 video Prime Factorization upto 19 squared
  541.    wt: 1:   8 video Prime Factorization upto 19
  542.    wt: 1:   7 Calculator Usage Notes and Cautions
  543.    wt: 1:   5 Prime Factorization and a Square Rule
  544.    wt: 1:   4 video Prime Factorization Introduction
  545.    wt: 1:   3 video Primes and Composites from 9 times table
  546.    wt: 1:   2 Prime and Composites less than 16
  547.    wt: 1:   1 video how Products are bigger than factor
  548.    wt: 1:   Long Division Backwards more
  549.    wt: 1:   Long Division Backward
  550.    wt: 1:   Division with Counts and Length
  551.    wt: 1:   Long Division forwards and backwards Example 3
  552.    wt: 1:   Long Division forwards and backwards Example 2
  553.    wt: 1:   Long Division forwards and backwards Example 1
  554.    wt: 1:   12 Why Long Division Works Take III
  555.    wt: 1:   10 Division by Five Long and Short Ways
  556.    wt: 1:   9 Why Long Division Works Take II
  557.    wt: 1:   7 Long Divison Mistake Catching
  558.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  559.    wt: 1:   5 Long Division Include Zeroes or not
  560.    wt: 1:   4 Division with 2 Digit Divsors
  561.    wt: 1:   3 Division Single Digit Divisor Example
  562.    wt: 1:   2 Division with Single Digit Divisors
  563.    wt: 1:   1 Divsion Physical Examples
  564.    wt: 1:   D Decimal Multiplication Methods Derived
  565.    wt: 1:   C Counting Areas with Powers of Ten
  566.    wt: 1:   B Powers of Ten
  567.    wt: 1:   A Elementary Basis for Multiplication Methods
  568.    wt: 1:   6 Multiplication Commutes Order Not Important
  569.    wt: 1:   5 Decimal Fraction Multiplication
  570.    wt: 1:   4 Two and Three Digit Multipliers
  571.    wt: 1:   3 More One Digit Multipliers
  572.    wt: 1:   2 One Digit Multipliers
  573.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  574.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  575.    wt: 1:   Video Power Notation in Decimal Expansion
  576.    wt: 1:   1 Why 3 times 5 gives 15
  577.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  578.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  579.    wt: 1:   Subtraction with J Conversions Example
  580.    wt: 1:   9 22 Minute Subtraction Review Video
  581.    wt: 1:   8 Subtraction with Units of Measure
  582.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  583.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  584.    wt: 1:   5 A Tip for Efficent Subtraction
  585.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  586.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  587.    wt: 1:   2 Subtraction Easy Case Examples
  588.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  589.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  590.    wt: 1:   8 What skills and work habits to require
  591.    wt: 1:   6. Counting and adding units and mixed units
  592.    wt: 1:   5. How to add decimals C. Examples
  593.    wt: 1:   4. How to add with decimals B with conversions
  594.    wt: 1:   3. How to add with decimals A sans conversions
  595.    wt: 1:   2 Decimal Counting Practices
  596.    wt: 1:   1. Explaining Addition Table
  597.    wt: 1:   11 Place Value SI Standard International way
  598.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  599.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  600.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  601.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  602.    wt: 1:   Quick history of numbers and algebra
  603.    wt: 1:   Exact Arithmetic Wholes and Fractions
  604.    wt: 1:   Formula Evaluation how to show work
  605.    wt: 1:   Expression Evaluation how to show work
  606.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  607.    wt: 1:   About folder contents
  608.    wt: 1:   6 Continuity at a point
  609.    wt: 1:   5 Jumps and absence of unlimited error control
  610.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  611.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  612.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  613.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  614.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  615.    wt: 1:   G.3 Constant Difference Theorem Proof
  616.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  617.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  618.    wt: 1:   F.5b Extreme Value Theorem
  619.    wt: 1:   F.5a Equicontinuity Theorems
  620.    wt: 1:   F.4 Finite Covering Theorem
  621.    wt: 1:   F.3 Intermediate Value Theorem
  622.    wt: 1:   F.2 Closed Range Theorem
  623.    wt: 1:   B3 Bolzano Weierstrass Theorem
  624.    wt: 1:   Appendix E. How To Study Mathematics and Why
  625.    wt: 1:   Chapter 25. Mathematical Induction Examples
  626.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  627.    wt: 1:   Chapter 16. Painless Theorem Proving
  628.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  629.    wt: 1:   Annotated Links to Material Elsehwere
  630.    wt: 1:   Postscript A Three Remarks
  631.    wt: 1:   Chapter 12 Four Phases
  632.    wt: 1:   Chapter 11 Elementary Instruction
  633.    wt: 1:   Chapter 10 Transition
  634.    wt: 1:   Chapter 8 Modern Instruction
  635.    wt: 1:   Chapter 7 Two Treatments of Geometry
  636.    wt: 1:   Chapter 5 Four References
  637.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  638.    wt: 1:   Chapter 3 Algebra Difficulties
  639.    wt: 1:   Chapter 1 Introduction
  640.    wt: 1:   Foreword
  641.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  642.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  643.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  644.    wt: 1:   S Adding words to algebra
  645.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  646.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  647.    wt: 1:   M Words to extend arithmetic
  648.    wt: 1:   L Skills with take home value
  649.    wt: 1:   N Improving Marks on Tests and Finals
  650.    wt: 1:   J. More on written work and showing skill
  651.    wt: 1:   I. Logic and language skills
  652.    wt: 1:   H more Routine to non routine problem solving
  653.    wt: 1:   H Jigsaw puzzles and problem solving
  654.    wt: 1:   G. Written work formats for developing and showing skill
  655.    wt: 1:   E. When and how to correct errors
  656.    wt: 1:   D. Check work a must with a caution
  657.    wt: 1:   C. Domino effect of being careful
  658.    wt: 1:   B. Domino effect of errors
  659.    wt: 1:   A. Skill has to be seen to believed
  660.    wt: 1:   How to Build Skills and Confidence
  661.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  662.    wt: 1:   Chapter 8 Skipped Topics and Why
  663.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  664.    wt: 1:   Chapter 6 More Algebra and Geometry
  665.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  666.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  667.    wt: 1:   Chapter 3 Algebra Starter Lessons
  668.    wt: 1:   Chapter 2 Why Sets
  669.    wt: 1:   Chapter 1 Arithmetic
  670.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  671.    wt: 1:   7 Games and Activities for Instruction
  672.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  673.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  674.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  675.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  676.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  677.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  678.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  679.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  680.    wt: 1:   Implementation Notes
  681.    wt: 1:   More Algebra and Slope based Calculus Preview
  682.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  683.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  684.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  685.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  686.    wt: 1:   Which Way To Go
  687.    wt: 1:   The Math Forum and Site Content
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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