Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
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 14+: 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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may 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.

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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:   Mathematics Skill Development Framework/

Web Page Search

148 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: 1:   Appendix 1 primary and preschool mathematic
  14.    wt: 1:   K LAMP Musings Science Education
  15.    wt: 1:   E LAMP Introduction Modern Mathematics
  16.    wt: 1:   Ramblings Extrinsic numbers theory
  17.    wt: 1:   11 pure mathematics
  18.    wt: 1:   why bother
  19.    wt: 1:   Teach the teachers plus goals
  20.    wt: 1:   links Education Resources online
  21.    wt: 1:   key notes and themes
  22.    wt: 1:   modern education
  23.    wt: 1:   mathematics in context
  24.    wt: 1:   Education Reform Inconsistencies
  25.    wt: 1:   Maps Plans Drawings
  26.    wt: 1:   Secondary Three Mathematics
  27.    wt: 1:   Secondary Two Mathematics
  28.    wt: 1:   Secondary One Mathematics
  29.    wt: 1:   talk the algebra talk
  30.    wt: 1:   teaching tips
  31.    wt: 1:   mathematics curriculum shifts
  32.    wt: 1:   the trouble with algebra
  33.    wt: 1:   04 29 New Mathematics Curriculum
  34.    wt: 1:   04 25 when to stop or suspend mathemat
  35.    wt: 1:   three aims for mathematics students
  36.    wt: 1:   Operational Viewpoint to Value
  37.    wt: 1:   Theory of Knowledge
  38.    wt: 1:   mathematics instruction in general
  39.    wt: 1:   three kinds of reason in mathematics
  40.    wt: 1:   Four ways to improve education reform
  41.    wt: 1:   need for a mixed mathematics curriculum
  42.    wt: 1:   Leaner mathematics curriculum
  43.    wt: 1:   education an empirical art
  44.    wt: 1:   words for mathematics instructor
  45.    wt: 1:   chapitre 07 01 principle D induction mathematique
  46.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  47.    wt: 1:   22 Student Centered Highschool Mathematics
  48.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  49.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  50.    wt: 1:   18 Primary School Mathematics
  51.    wt: 1:   12 Goals and Objectives For Mathematics
  52.    wt: 1:   11 Help and Defend Your Child or Teens Education
  53.    wt: 1:   8 The Effect of Negative Remarks
  54.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  55.    wt: 1:   17 Function maxima minima and their location
  56.    wt: 1:   9 Set theory term relation possible origins
  57.    wt: 1:   4 Function notation in and beyond mathematics
  58.    wt: 1:   9 quadratics physical and further context
  59.    wt: 1:   5 quadratics completing the square
  60.    wt: 1:   Quadratics in 10 steps
  61.    wt: 1:   12 From Applied To Pure Mathematics
  62.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  63.    wt: 1:   17G Pythagorean Theorem Converse
  64.    wt: 1:   17A The complex number valued trig function cis
  65.    wt: 1:   1 Unit Points Reflections Rotations
  66.    wt: 1:   15 Pythagorean Theorem Converse
  67.    wt: 1:   9 The complex number valued trig function cis
  68.    wt: 1:   5 An Easy Proof of the Distributive Law
  69.    wt: 1:   Why Trigonometry the whyslopes view
  70.    wt: 1:   11 Triangle Similarity Missing Side Problem
  71.    wt: 1:   10 Midpoint of [a b] and [b a]
  72.    wt: 1:   8 Mid Point Formula
  73.    wt: 1:   2 point slope equation for a line
  74.    wt: 1:   1 Numerical view of lines and their equations
  75.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  76.    wt: 1:   8 Distance Between Points on a Line
  77.    wt: 1:   PS H Distributive Law For Complex Numbers
  78.    wt: 1:   PS G Rotation Distributes over Addition
  79.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  80.    wt: 1:   PS E Multiplication with Polar Coordinates
  81.    wt: 1:   PS D Addition with Cartesian Coordinates
  82.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  83.    wt: 1:   PS B Parallelogram Construction Methods
  84.    wt: 1:   PS A Kite Construction Methods
  85.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  86.    wt: 1:   6 Figuring with Maps Not to Scale
  87.    wt: 1:   4 Angles on Maps Plans drawn to scale
  88.    wt: 1:   3 Lengths and Areas on Maps and Plans
  89.    wt: 1:   9 Division with Digits after Decimal Point
  90.    wt: 1:   4 Location of Point in Decimal Addition
  91.    wt: 1:   3 Location of Point in Decimal Multiplication
  92.    wt: 1:   4 Commutative Law Groups Counting Form
  93.    wt: 1:   1 The Counting Origins of Numbers
  94.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  95.    wt: 1:   8 Coordinates for Maps and Planes
  96.    wt: 1:   2 Another Rectangle Area Formula Example
  97.    wt: 1:   3 signed coordinates for maps and planes
  98.    wt: 1:   20 Dividing Fractions the Why
  99.    wt: 1:   A Associative Law Theorectical Note
  100.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  101.    wt: 1:   11 Another Single Digit Divisor Example
  102.    wt: 1:   8 Correcting the Mistake
  103.    wt: 1:   Subtraction Another Video Lesson
  104.    wt: 1:   7 Adding decimal fractions using decimal point
  105.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  106.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  107.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  108.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  109.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  110.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  111.    wt: 1:   The 20 Times Table
  112.    wt: 1:   The 12 Times Table Visually
  113.    wt: 1:   6 Continuity at a point
  114.    wt: 1:   5 Jumps and absence of unlimited error control
  115.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  116.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  117.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  118.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  119.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  120.    wt: 1:   G.3 Constant Difference Theorem Proof
  121.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  122.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  123.    wt: 1:   F.5b Extreme Value Theorem
  124.    wt: 1:   F.5a Equicontinuity Theorems
  125.    wt: 1:   F.4 Finite Covering Theorem
  126.    wt: 1:   F.3 Intermediate Value Theorem
  127.    wt: 1:   F.2 Closed Range Theorem
  128.    wt: 1:   B3 Bolzano Weierstrass Theorem
  129.    wt: 1:   Appendix E. How To Study Mathematics and Why
  130.    wt: 1:   Chapter 25. Mathematical Induction Examples
  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:   Multiple Ways to Improve Mathematics Skill Development
  146.    wt: 1:   Systematic Algebra Skill Development Missing Links
  147.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  148.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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667 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: 2:   Appendix 2 primary school Arithmetic 01
  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:   B LAMP Introduction Curriculum Development Standards
  104.    wt: 2:   A Introduction Objectives
  105.    wt: 2:   Skills Chapter 5 Calculus
  106.    wt: 2:   Skills Chapter 4 Logic
  107.    wt: 2:   Ramblings Introduction Algebra Essay
  108.    wt: 2:   Skills Chapter 3 Algebra
  109.    wt: 2:   Skills Chapter 2 Geometry
  110.    wt: 2:   Skills Chapter 1 Arithmetic
  111.    wt: 2:   Skills Chapter 0 Introduction
  112.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  113.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  114.    wt: 2:   16 Secondary Mathematics Tips
  115.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  116.    wt: 2:   12 From Applied To Pure Mathematics
  117.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  118.    wt: 2:   17G Pythagorean Theorem Converse
  119.    wt: 2:   17A The complex number valued trig function cis
  120.    wt: 2:   1 Unit Points Reflections Rotations
  121.    wt: 2:   15 Pythagorean Theorem Converse
  122.    wt: 2:   9 The complex number valued trig function cis
  123.    wt: 2:   5 An Easy Proof of the Distributive Law
  124.    wt: 2:   8 Triangles Cascade Problem Solving
  125.    wt: 2:   7 Trignometric Ratios Unit Circle
  126.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  127.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  128.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  129.    wt: 2:   3 Trigonometric Ratios sine and cosine
  130.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  131.    wt: 2:   1 Angle Measurement with Degrees
  132.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  133.    wt: 2:   11 Triangle Similarity Missing Side Problem
  134.    wt: 2:   10 Midpoint of [a b] and [b a]
  135.    wt: 2:   8 Mid Point Formula
  136.    wt: 2:   2 point slope equation for a line
  137.    wt: 2:   1 Numerical view of lines and their equations
  138.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  139.    wt: 2:   8 Distance Between Points on a Line
  140.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  141.    wt: 2:   21 Parallelograms
  142.    wt: 2:   19 Right Triangle Similarity
  143.    wt: 2:   18 Triangle Similarity Take 1
  144.    wt: 2:   17 Right Bisectors of Triangle Sides
  145.    wt: 2:   16 Angles Subtended By Chords and Diameters
  146.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  147.    wt: 2:   14 Parallel Lines Postulate
  148.    wt: 2:   13 Angle Side Angle Failure
  149.    wt: 2:   12 Side Angle Side Failure
  150.    wt: 2:   11 Triangle Construction Fails
  151.    wt: 2:   10 Dropping a perpendicular to line
  152.    wt: 2:   9 Construction of a right bisector
  153.    wt: 2:   8 Isoceles Triangles
  154.    wt: 2:   7 Angle Side Angle
  155.    wt: 2:   6 Ruler and compass Angle Bisection
  156.    wt: 2:   5 Side Angle Side
  157.    wt: 2:   4 Side Side Side
  158.    wt: 2:   3 Isometry of Triangles Congruence
  159.    wt: 2:   2 Correspondence between Triangles
  160.    wt: 2:   1 Initial Concepts and Terms
  161.    wt: 2:   Short Course on Euclidean Geometry
  162.    wt: 2:   A Measurement with Ruler Proper Use
  163.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  164.    wt: 2:   2 Measuring Area Directly
  165.    wt: 2:   1 Length Measurement
  166.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  167.    wt: 2:   3 signed coordinates for maps and planes
  168.    wt: 2:   20 Dividing Fractions the Why
  169.    wt: 2:   A Associative Law Theorectical Note
  170.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  171.    wt: 2:   11 Another Single Digit Divisor Example
  172.    wt: 2:   8 Correcting the Mistake
  173.    wt: 2:   Subtraction Another Video Lesson
  174.    wt: 2:   7 Adding decimal fractions using decimal point
  175.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  176.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  177.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  178.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  179.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  180.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  181.    wt: 2:   The 20 Times Table
  182.    wt: 2:   The 12 Times Table Visually
  183.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  184.    wt: 2:   Chapter 9 The Two Ends
  185.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  186.    wt: 2:   Chapter 2 For and Against Mathematics
  187.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  188.    wt: 2:   R Why Learn Mathematics Skills
  189.    wt: 2:   O On Learning Mathematics and Science
  190.    wt: 2:   N Mathematics Prepare for College Studies
  191.    wt: 2:   F. The student teacher tutor feedback loop
  192.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  193.    wt: 2:   Systematic Algebra Skill Development Missing Links
  194.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  195.    wt: 1:   chapitre 07 01 principle D induction mathematique
  196.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  197.    wt: 1:   22 Student Centered Highschool Mathematics
  198.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  199.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  200.    wt: 1:   18 Primary School Mathematics
  201.    wt: 1:   12 Goals and Objectives For Mathematics
  202.    wt: 1:   11 Help and Defend Your Child or Teens Education
  203.    wt: 1:   8 The Effect of Negative Remarks
  204.    wt: 1:   Ages 12 to 14 Skills with take home value
  205.    wt: 1:   Ages 12 to 14 Geometry
  206.    wt: 1:   Ages 12 to 14 Arithmetic
  207.    wt: 1:   Ages 10 to 12 Geometry
  208.    wt: 1:   Ages 10 to 12 Arithmetic
  209.    wt: 1:   Ages 9 to 10
  210.    wt: 1:   Ages 8 to 9
  211.    wt: 1:   Ages 7 to 8
  212.    wt: 1:   Ages 6 to 7
  213.    wt: 1:   Ages 4 plus to 5 plus
  214.    wt: 1:   Ages 3 plus to 4 plus
  215.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  216.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  217.    wt: 1:   17 Function maxima minima and their location
  218.    wt: 1:   9 Set theory term relation possible origins
  219.    wt: 1:   4 Function notation in and beyond mathematics
  220.    wt: 1:   9 quadratics physical and further context
  221.    wt: 1:   5 quadratics completing the square
  222.    wt: 1:   Quadratics in 10 steps
  223.    wt: 1:   16 cotangent function Definition Graph and Inverse
  224.    wt: 1:   15 cosecant function Definition Graph and Inverse
  225.    wt: 1:   14 secant function Definition Graph and Inverse
  226.    wt: 1:   13 cosecant function Definition Graph and Inverse
  227.    wt: 1:   12 motivation for term arctan
  228.    wt: 1:   11 arctan left inverse of tangent Graph
  229.    wt: 1:   10 arctan left inverse of tangent Definition
  230.    wt: 1:   9 motivation for name arcsin
  231.    wt: 1:   8 arcsin left inverse of sine Graph
  232.    wt: 1:   7 arcsin left inverse of sine Definition
  233.    wt: 1:   6 Graph of arccos function
  234.    wt: 1:   5 Swapping Coordinates is a reflection
  235.    wt: 1:   4 possible motivation for term arccos
  236.    wt: 1:   3 Left Inverse of cosine arccos definition
  237.    wt: 1:   2 cosine function more properties
  238.    wt: 1:   1 cosine function properties
  239.    wt: 1:   9 Summary Degrees to Radians and back
  240.    wt: 1:   8 Radian Measures of Common Angles
  241.    wt: 1:   7 Radian Measures in special Triangles
  242.    wt: 1:   6 Radian Measure to Degrees
  243.    wt: 1:   5 Degrees to Radian Measure
  244.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  245.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  246.    wt: 1:   2 Radian Measure Numerical Value of one degree
  247.    wt: 1:   1 Degrees and Radians Introduction
  248.    wt: 1:   A Global Time and Navigation
  249.    wt: 1:   15 Dot and Cross Product
  250.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  251.    wt: 1:   13 Velocity Vectors in Physics
  252.    wt: 1:   11 Component Method
  253.    wt: 1:   10 Parallelogram Addition Method
  254.    wt: 1:   9 Head to Tail Coordinate View
  255.    wt: 1:   8 Parallel Vectors
  256.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  257.    wt: 1:   6 Vectors with Coordinates
  258.    wt: 1:   5 Head To Tail Arrow Addition
  259.    wt: 1:   4 Resultant of a Sum of Movements
  260.    wt: 1:   3 Navigation with Arrows or Vectors
  261.    wt: 1:   2 Signed Coordinates
  262.    wt: 1:   1 Unsigned Coordinates
  263.    wt: 1:   Vector and Complex Number Applet
  264.    wt: 1:   4 graphing y=Asin(x c)
  265.    wt: 1:   3 graphing y=f(x c) plus K
  266.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  267.    wt: 1:   1 graphing y=f(x a)
  268.    wt: 1:   Parallel Lines and Parallel Transversals
  269.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  270.    wt: 1:   Triangle Angles Sum To 180 Degrees
  271.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  272.    wt: 1:   Parallel Lines and Interior Angles
  273.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  274.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  275.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  276.    wt: 1:   Straight Lines ASA Intersection Study More
  277.    wt: 1:   Straight Lines ASA Intersection Study
  278.    wt: 1:   Straight Lines Instersection Solving Equations
  279.    wt: 1:   Straight Lines Intersection of
  280.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  281.    wt: 1:   C Straight Lines Slope from Coordinates
  282.    wt: 1:   B Straight Line Slope Scaling Properties More
  283.    wt: 1:   A Straight Line Slope Scaling Properties
  284.    wt: 1:   14 Straight Lines Equations General Case
  285.    wt: 1:   12 Straight Lines Graphing mx plus b
  286.    wt: 1:   11 Straight Lines Graphing y=mx
  287.    wt: 1:   10 Straight Lines through Origin Equations More
  288.    wt: 1:   9 Straight Lines through Origin Equations
  289.    wt: 1:   8 Straight Lines Equation for vertical
  290.    wt: 1:   7 Tangent Function is odd on this domain
  291.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  292.    wt: 1:   5 Tangent Function Graph
  293.    wt: 1:   4 Tangent Function Properties
  294.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  295.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  296.    wt: 1:   1 Straight Lines Slope Concept
  297.    wt: 1:   17 tangent function angle sum formulas
  298.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  299.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  300.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  301.    wt: 1:   32 seven rows of pascals triangle
  302.    wt: 1:   31 basic secant cosecant cotangent trig identities
  303.    wt: 1:   30 unit circle calculation of six trigonometric functions
  304.    wt: 1:   29 secant cosecant and cotangent for acute angles
  305.    wt: 1:   28 Expressing products of sines cosines as sums
  306.    wt: 1:   27 Logarithmic use of products of sines and cosines
  307.    wt: 1:   26 Formulas for products of sines and cosines
  308.    wt: 1:   25 tangent double angle formula Slope connection
  309.    wt: 1:   24 tangent Angle Difference Formula
  310.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  311.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  312.    wt: 1:   21 sine and cosine Half Angle Formulas
  313.    wt: 1:   20 sine and cosine Double Angle Formulas
  314.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  315.    wt: 1:   18 sum of sinusoidal waves as a single wave
  316.    wt: 1:   17F Law of cosines
  317.    wt: 1:   17E Trig Formulas for dot and cross Products
  318.    wt: 1:   17D cis formulas for sine cosines and tangent
  319.    wt: 1:   17C sine and cosine double triple angle formulas
  320.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  321.    wt: 1:   16 Right Triangle Complementary Angle Relations
  322.    wt: 1:   15 sine cosine Complementary Angle Relations
  323.    wt: 1:   14 cosine even and sine and tangent are odd
  324.    wt: 1:   13 Graph of tangent function many periods
  325.    wt: 1:   12 Graph of tangent function for one period
  326.    wt: 1:   11 tangent function undefined when terminal side vertical
  327.    wt: 1:   10 Graphs of sines and cosines many periods
  328.    wt: 1:   9 Graphs of sine and cosine over one period
  329.    wt: 1:   8 period of tangent function
  330.    wt: 1:   7 period of sine and cosine
  331.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  332.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  333.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  334.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  335.    wt: 1:   2 Quadrant I reference Angles
  336.    wt: 1:   Unit Circle Development of Trigonometry
  337.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  338.    wt: 1:   21 Logarithms Powers and Exponentials
  339.    wt: 1:   20 N th Roots of Complex Numbers
  340.    wt: 1:   19 N th Roots of Unity
  341.    wt: 1:   18 Sixth Roots of Unity
  342.    wt: 1:   17 Cube Roots of unity
  343.    wt: 1:   16 References and Originality Question
  344.    wt: 1:   14 Law of cosines
  345.    wt: 1:   13 Trig Formulas for dot and cross Products
  346.    wt: 1:   12 cis formulas for sine cosines and tangent
  347.    wt: 1:   11 sine and cosine double triple angle formulas
  348.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  349.    wt: 1:   8 Unit Circle Development of Trigonometry
  350.    wt: 1:   7 Second Way to Calculate Products
  351.    wt: 1:   6 Field Properties of Complex Number
  352.    wt: 1:   4 Multiplication Properties
  353.    wt: 1:   3 Addition Properties
  354.    wt: 1:   2 Complex Numbers made easier we hope
  355.    wt: 1:   1 Rectangular Polar Coordinates Review
  356.    wt: 1:   Appetizer A Complex Number Applet
  357.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  358.    wt: 1:   12 Triangles Similarity More Problems
  359.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  360.    wt: 1:   9 Similarity of Triangles Usual Criteria
  361.    wt: 1:   8 Similarity of Triangles and Polygons
  362.    wt: 1:   7 Translations Rotations Reflections Dilatations
  363.    wt: 1:   6 Geometric Diagrams in Class
  364.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  365.    wt: 1:   4 Similarity Definition with Coordinate
  366.    wt: 1:   3 Similarity by Design with coordinates
  367.    wt: 1:   2 Similarity By Design
  368.    wt: 1:   1 Early Concept of Like or Similar Shapes
  369.    wt: 1:   Four Simple Exercises
  370.    wt: 1:   12 Links Lessons elsewhere
  371.    wt: 1:   11 A Partial Summary
  372.    wt: 1:   7 Exercises to test skill and concept mastery
  373.    wt: 1:   6 Intersection of lines by solving linear systems
  374.    wt: 1:   5 Algebraic View of Slopes
  375.    wt: 1:   4 Equations for lines three forms
  376.    wt: 1:   3 Slope product for perpendicular lines
  377.    wt: 1:   What is and is not here
  378.    wt: 1:   13 Pythagorean spatial distance formulas
  379.    wt: 1:   12 Spatial Coordinates
  380.    wt: 1:   11 Triangle Inequality
  381.    wt: 1:   10 Pythagorean plane distance formula
  382.    wt: 1:   7 Complex Numbers Appetizer
  383.    wt: 1:   6 Polar Multiplication and Rotation
  384.    wt: 1:   5 Cartesian Addition and Translation
  385.    wt: 1:   4 Polar Coordinates to and from
  386.    wt: 1:   3 Rectangular Coordinates Review
  387.    wt: 1:   2 Cartesian Coordinates with signs
  388.    wt: 1:   1 Cartesian Coordinates sans signs
  389.    wt: 1:   About Folder Contents
  390.    wt: 1:   9 Division with Digits after Decimal Point
  391.    wt: 1:   4 Location of Point in Decimal Addition
  392.    wt: 1:   3 Location of Point in Decimal Multiplication
  393.    wt: 1:   4 Commutative Law Groups Counting Form
  394.    wt: 1:   1 The Counting Origins of Numbers
  395.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  396.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  397.    wt: 1:   6 Compound Interest Forward and Backwards
  398.    wt: 1:   5 Triangle Area Formula Backwards
  399.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  400.    wt: 1:   3 Linear Equation Literal Solution More
  401.    wt: 1:   2 Linear Equation Literal Solution
  402.    wt: 1:   1 Changing Calculations
  403.    wt: 1:   8 Coordinates for Maps and Planes
  404.    wt: 1:   2 Another Rectangle Area Formula Example
  405.    wt: 1:   arithmetic videos Real Player Format
  406.    wt: 1:   4 Greater More Less Than Signs in General
  407.    wt: 1:   3 Comparison of Negative Numbers
  408.    wt: 1:   2 More and Less Than with Unlike Signs
  409.    wt: 1:   1 More and Less Than for Counts and Measures
  410.    wt: 1:   5 Square Roots with primes more still
  411.    wt: 1:   4 Square Roots with primes more
  412.    wt: 1:   3 Properties of Square Roots with example
  413.    wt: 1:   2 Square Roots with Prime
  414.    wt: 1:   1 Squares and Square Roots Introduction
  415.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  416.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  417.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  418.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  419.    wt: 1:   13 GCD from given Prime Factorization
  420.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  421.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  422.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  423.    wt: 1:   8 GCD from Euclidean Algorithm
  424.    wt: 1:   7 GCD and LCM from prime factorization
  425.    wt: 1:   6 GCD from Prime
  426.    wt: 1:   5 Common Divisors 60 45 via Prime
  427.    wt: 1:   4 LCM of 8 and 10 via Prime
  428.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  429.    wt: 1:   2 Least Common Multiple LCM intro via list method
  430.    wt: 1:   1 Least Common Multiples LCM Introduction
  431.    wt: 1:   12 GCD 2700 288 via Prime
  432.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  433.    wt: 1:   4 Counting with Trees Product Rule Take I
  434.    wt: 1:   3 Counting with Tables and Trees II
  435.    wt: 1:   2 Counting with Tables and Trees I
  436.    wt: 1:   1 Counting and Counting Methods I
  437.    wt: 1:   11 What are real lengths and numbers
  438.    wt: 1:   10 dividing signed numbers
  439.    wt: 1:   9 subtracting signed numbers
  440.    wt: 1:   8 multiplying signed numbers
  441.    wt: 1:   7 negative and additive inverse
  442.    wt: 1:   6 adding signed numbers
  443.    wt: 1:   5 lengths and signs of numbers
  444.    wt: 1:   4 signed coordinates for regions in space
  445.    wt: 1:   2 signed and unsigned numbers as coordinates
  446.    wt: 1:   7 Converting or Changing Units
  447.    wt: 1:   6 Simplification of Fractions with Units
  448.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  449.    wt: 1:   4 Fractions with Units
  450.    wt: 1:   3 Multiplying Units and Numbers
  451.    wt: 1:   2 Equality and Units
  452.    wt: 1:   1 Addition and Subtraction with Units
  453.    wt: 1:   D Three Term Ratios
  454.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  455.    wt: 1:   B Fractions and Two Term Ratios
  456.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  457.    wt: 1:   22 Complex Compound Fractions
  458.    wt: 1:   21 Working With Signs
  459.    wt: 1:   21 Reciprocals for Fractions and Wholes
  460.    wt: 1:   19 Dividing Fractions How TO
  461.    wt: 1:   18 Efficient Ways to Multiply
  462.    wt: 1:   17 Efficient Ways to Add and Subtract
  463.    wt: 1:   16 Addition Subtraction Comparision Compared
  464.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  465.    wt: 1:   14 Adding and Subtracting with Like Denominators
  466.    wt: 1:   13 Fraction Comparison Algebraic View
  467.    wt: 1:   12 Fraction Comparison
  468.    wt: 1:   11 Simplification an Algebraic View
  469.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  470.    wt: 1:   9 Improper Fractions and Mixed Numbers
  471.    wt: 1:   8 Numerals Fractionals Quantals Take II
  472.    wt: 1:   7 Numerals Fractionals Quantals
  473.    wt: 1:   6 Multiplication Algebraically Take II
  474.    wt: 1:   5 Equivalent Fractions
  475.    wt: 1:   4 Fraction Multiplication
  476.    wt: 1:   3 Unit fraction of a fraction
  477.    wt: 1:   2 Unit Fraction Multiplication
  478.    wt: 1:   1 What is a fraction Take II
  479.    wt: 1:   1 What is a fraction
  480.    wt: 1:   D Remainders Modulo 11 Pair Rule
  481.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  482.    wt: 1:   B Integer Long Division Multiple Choices
  483.    wt: 1:   13 Subtraction with Additive Inverse
  484.    wt: 1:   12 Adding Integers More Examples
  485.    wt: 1:   11 Adding Integers Formulas and Examples
  486.    wt: 1:   10 Integer Multiplication Formulas
  487.    wt: 1:   9 Multiplying Integers
  488.    wt: 1:   8 Multiplication by Signed Numbers Integers
  489.    wt: 1:   7 Multiplication by Signs
  490.    wt: 1:   6 Multiplication by Natural Numbers
  491.    wt: 1:   5 Zero Movement and Additive Inverses
  492.    wt: 1:   4 Adding Movements wiht opposite directions
  493.    wt: 1:   3 Adding Movements with same direction
  494.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  495.    wt: 1:   1 Integers as Coordinates
  496.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  497.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  498.    wt: 1:   26 Divisibility by 2 3 5 Example
  499.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  500.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  501.    wt: 1:   23 Remainder Arithmetic Modulo 2
  502.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  503.    wt: 1:   21 Remainder Arithmetic Modulo 3
  504.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  505.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  506.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  507.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  508.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  509.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  510.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  511.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  512.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  513.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  514.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  515.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  516.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  517.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  518.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  519.    wt: 1:   5 Remainder Arithmetic Modulo 5
  520.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  521.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  522.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  523.    wt: 1:   1 Remainder Arithmetic Modulo 10
  524.    wt: 1:   20 Uniqueness of Prime Factorization
  525.    wt: 1:   19 video Prime Factorization Unique
  526.    wt: 1:   18 video Count Factors given Prime Factorization
  527.    wt: 1:   17 Identify and Count Factors using Primes
  528.    wt: 1:   16 video Factors of 980 using prime
  529.    wt: 1:   15 video Factors of 20 using Prime Factorization
  530.    wt: 1:   14 video Factors of 24 Take II
  531.    wt: 1:   13 video Factors of 24 using prime
  532.    wt: 1:   12 LCD GCD and LCM using Primes
  533.    wt: 1:   11 Efficient Square Rule Use
  534.    wt: 1:   10 video Prime Factorization upto 23 squared
  535.    wt: 1:   9 video Prime Factorization upto 19 squared
  536.    wt: 1:   8 video Prime Factorization upto 19
  537.    wt: 1:   7 Calculator Usage Notes and Cautions
  538.    wt: 1:   5 Prime Factorization and a Square Rule
  539.    wt: 1:   4 video Prime Factorization Introduction
  540.    wt: 1:   3 video Primes and Composites from 9 times table
  541.    wt: 1:   2 Prime and Composites less than 16
  542.    wt: 1:   1 video how Products are bigger than factor
  543.    wt: 1:   Long Division Backwards more
  544.    wt: 1:   Long Division Backward
  545.    wt: 1:   Division with Counts and Length
  546.    wt: 1:   Long Division forwards and backwards Example 3
  547.    wt: 1:   Long Division forwards and backwards Example 2
  548.    wt: 1:   Long Division forwards and backwards Example 1
  549.    wt: 1:   12 Why Long Division Works Take III
  550.    wt: 1:   10 Division by Five Long and Short Ways
  551.    wt: 1:   9 Why Long Division Works Take II
  552.    wt: 1:   7 Long Divison Mistake Catching
  553.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  554.    wt: 1:   5 Long Division Include Zeroes or not
  555.    wt: 1:   4 Division with 2 Digit Divsors
  556.    wt: 1:   3 Division Single Digit Divisor Example
  557.    wt: 1:   2 Division with Single Digit Divisors
  558.    wt: 1:   1 Divsion Physical Examples
  559.    wt: 1:   D Decimal Multiplication Methods Derived
  560.    wt: 1:   C Counting Areas with Powers of Ten
  561.    wt: 1:   B Powers of Ten
  562.    wt: 1:   A Elementary Basis for Multiplication Methods
  563.    wt: 1:   6 Multiplication Commutes Order Not Important
  564.    wt: 1:   5 Decimal Fraction Multiplication
  565.    wt: 1:   4 Two and Three Digit Multipliers
  566.    wt: 1:   3 More One Digit Multipliers
  567.    wt: 1:   2 One Digit Multipliers
  568.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  569.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  570.    wt: 1:   Video Power Notation in Decimal Expansion
  571.    wt: 1:   1 Why 3 times 5 gives 15
  572.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  573.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  574.    wt: 1:   Subtraction with J Conversions Example
  575.    wt: 1:   9 22 Minute Subtraction Review Video
  576.    wt: 1:   8 Subtraction with Units of Measure
  577.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  578.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  579.    wt: 1:   5 A Tip for Efficent Subtraction
  580.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  581.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  582.    wt: 1:   2 Subtraction Easy Case Examples
  583.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  584.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  585.    wt: 1:   8 What skills and work habits to require
  586.    wt: 1:   6. Counting and adding units and mixed units
  587.    wt: 1:   5. How to add decimals C. Examples
  588.    wt: 1:   4. How to add with decimals B with conversions
  589.    wt: 1:   3. How to add with decimals A sans conversions
  590.    wt: 1:   2 Decimal Counting Practices
  591.    wt: 1:   1. Explaining Addition Table
  592.    wt: 1:   11 Place Value SI Standard International way
  593.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  594.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  595.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  596.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  597.    wt: 1:   Quick history of numbers and algebra
  598.    wt: 1:   Exact Arithmetic Wholes and Fractions
  599.    wt: 1:   Formula Evaluation how to show work
  600.    wt: 1:   Expression Evaluation how to show work
  601.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  602.    wt: 1:   About folder contents
  603.    wt: 1:   6 Continuity at a point
  604.    wt: 1:   5 Jumps and absence of unlimited error control
  605.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  606.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  607.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  608.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  609.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  610.    wt: 1:   G.3 Constant Difference Theorem Proof
  611.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  612.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  613.    wt: 1:   F.5b Extreme Value Theorem
  614.    wt: 1:   F.5a Equicontinuity Theorems
  615.    wt: 1:   F.4 Finite Covering Theorem
  616.    wt: 1:   F.3 Intermediate Value Theorem
  617.    wt: 1:   F.2 Closed Range Theorem
  618.    wt: 1:   B3 Bolzano Weierstrass Theorem
  619.    wt: 1:   Appendix E. How To Study Mathematics and Why
  620.    wt: 1:   Chapter 25. Mathematical Induction Examples
  621.    wt: 1:   Chapter 25. Mathematical Induction Examples
  622.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  623.    wt: 1:   Chapter 16. Painless Theorem Proving
  624.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  625.    wt: 1:   Annotated Links to Material Elsehwere
  626.    wt: 1:   Postscript A Three Remarks
  627.    wt: 1:   Chapter 12 Four Phases
  628.    wt: 1:   Chapter 11 Elementary Instruction
  629.    wt: 1:   Chapter 10 Transition
  630.    wt: 1:   Chapter 8 Modern Instruction
  631.    wt: 1:   Chapter 7 Two Treatments of Geometry
  632.    wt: 1:   Chapter 5 Four References
  633.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  634.    wt: 1:   Chapter 3 Algebra Difficulties
  635.    wt: 1:   Chapter 1 Introduction
  636.    wt: 1:   Foreword
  637.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  638.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  639.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  640.    wt: 1:   S Adding words to algebra
  641.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  642.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  643.    wt: 1:   M Words to extend arithmetic
  644.    wt: 1:   L Skills with take home value
  645.    wt: 1:   N Improving Marks on Tests and Finals
  646.    wt: 1:   J. More on written work and showing skill
  647.    wt: 1:   I. Logic and language skills
  648.    wt: 1:   H more Routine to non routine problem solving
  649.    wt: 1:   H Jigsaw puzzles and problem solving
  650.    wt: 1:   G. Written work formats for developing and showing skill
  651.    wt: 1:   E. When and how to correct errors
  652.    wt: 1:   D. Check work a must with a caution
  653.    wt: 1:   C. Domino effect of being careful
  654.    wt: 1:   B. Domino effect of errors
  655.    wt: 1:   A. Skill has to be seen to believed
  656.    wt: 1:   How to Build Skills and Confidence
  657.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  658.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  659.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  660.    wt: 1:   Implementation Notes
  661.    wt: 1:   More Algebra and Slope based Calculus Preview
  662.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  663.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  664.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  665.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  666.    wt: 1:   Which Way To Go
  667.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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More Site Folders and Pages

Parents: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills.

Mathematics Skills For Ages 3 to 14

Skills with take home value

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


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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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