Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

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

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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56 matches:

  1.    wt: 8:   1 Maps Plans Measurement/
  2.    wt: 7:   10 Intersecting Straight Lines and Transversals/
  3.    wt: 7:   5 What is Similarity/
  4.    wt: 6:   13 Vectors/
  5.    wt: 6:   11 Parallel Straight Lines and Transversals/
  6.    wt: 6:   8 Unit Circle Trigonometry/
  7.    wt: 6:   6 Trigonometry first steps/
  8.    wt: 6:   2 Euclidean Geometry Constructions Theory extras/
  9.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  10.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  11.    wt: 5:   12 Function Translating and Rescaling/
  12.    wt: 5:   9 Lines and Slopes Take 2 with tangent function/
  13.    wt: 5:   7 Complex Numbers/
  14.    wt: 5:   4 Lines and Slopes Take 1/
  15.    wt: 5:   3 Cartesian and Polar Coordinates/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 4:   11 Squares and Square Roots/
  18.    wt: 4:   10 LCM GCD and Euclid GCD Algorithm/
  19.    wt: 3:   5 Integers/
  20.    wt: 3:   Mathematics 506 Lessons/
  21.    wt: 2:   Mathematics Education Essays/
  22.    wt: 2:   10 Examples of Algebraic Reasoning/
  23.    wt: 2:   A Decimal Counting and Adding Methods/
  24.    wt: 2:   1 Decimal Place Value/
  25.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  26.    wt: 2:   5 Lessons on Integration/
  27.    wt: 2:   13 Lessons on Limits and Continuity/
  28.    wt: 1:   LAMP Lean Applied Mathematics Program/
  29.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  30.    wt: 1:   Volume 1A Regles et modeles/
  31.    wt: 1:   Mathematics Skills Year by Year/
  32.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  33.    wt: 1:   3 Quadratics Geometrically/
  34.    wt: 1:   1 Five Polynomial Operations/
  35.    wt: 1:   8 Unifying Theme For Algebra/
  36.    wt: 1:   5 Real Numbers/
  37.    wt: 1:   Step 1 Stick diagram and fractions/
  38.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  39.    wt: 1:   9 Combinatorics Trees Tables and Products/
  40.    wt: 1:   8 Arithmetic with Signed Numbers/
  41.    wt: 1:   7 Arithmetic and Fractions with Units/
  42.    wt: 1:   6 Fractions and Ratios/
  43.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  44.    wt: 1:   3 Prime Factorization Skills/
  45.    wt: 1:   D Decimal Long Division Methods/
  46.    wt: 1:   C Decimal Multiplication Methods/
  47.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  48.    wt: 1:   2 Arithmetic with Decimals/
  49.    wt: 1:   Arithmetic and Number Theory Skills/
  50.    wt: 1:   4 Lessons on Using Derivatives/
  51.    wt: 1:   38 Lessons on Calculating Derivatives/
  52.    wt: 1:   70 Calculus Starter Lessons/
  53.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  54.    wt: 1:   Secondary Mathematics A Practical Approach/
  55.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  56.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

199 matches:

  1.    wt: 4:   5 quadratics completing the square
  2.    wt: 2:   Maps Plans Drawings
  3.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  4.    wt: 2:   9 quadratics physical and further context
  5.    wt: 2:   4 quadratics difference of two squares
  6.    wt: 2:   Quadratics in 10 steps
  7.    wt: 2:   Why Trigonometry the whyslopes view
  8.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  9.    wt: 2:   4 Angles on Maps Plans drawn to scale
  10.    wt: 2:   3 Lengths and Areas on Maps and Plans
  11.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  12.    wt: 2:   1 Squares and Square Roots Introduction
  13.    wt: 2:   10 video Prime Factorization upto 23 squared
  14.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  15.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  16.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  17.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  18.    wt: 2:   Helping the Blind in Logic and Mathematics
  19.    wt: 1:   Appendix 1 primary and preschool mathematic
  20.    wt: 1:   E LAMP Introduction Modern Mathematics
  21.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  22.    wt: 1:   Ramblings Extrinsic numbers theory
  23.    wt: 1:   11 pure mathematics
  24.    wt: 1:   10 statistics
  25.    wt: 1:   why bother
  26.    wt: 1:   Teach the teachers plus goals
  27.    wt: 1:   About site lesson plans
  28.    wt: 1:   key notes and themes
  29.    wt: 1:   Mathematics Education Professors
  30.    wt: 1:   mathematics in context
  31.    wt: 1:   Postscript 2007 01 10
  32.    wt: 1:   Secondary Three Mathematics
  33.    wt: 1:   Secondary Two Mathematics
  34.    wt: 1:   Secondary One Mathematics
  35.    wt: 1:   talk the algebra talk
  36.    wt: 1:   mathematics curriculum shifts
  37.    wt: 1:   the trouble with algebra
  38.    wt: 1:   three goals for Mathematics Education
  39.    wt: 1:   05 13 OldSiteEntrancePage
  40.    wt: 1:   04 29 New Mathematics Curriculum
  41.    wt: 1:   04 25 when to stop or suspend mathemat
  42.    wt: 1:   02 20 mathematics education references
  43.    wt: 1:   three aims for mathematics students
  44.    wt: 1:   Theory of Knowledge
  45.    wt: 1:   mathematics instruction in general
  46.    wt: 1:   Education in mathematics science and technology
  47.    wt: 1:   three kinds of reason in mathematics
  48.    wt: 1:   need for a mixed mathematics curriculum
  49.    wt: 1:   Leaner mathematics curriculum
  50.    wt: 1:   words for mathematics instructor
  51.    wt: 1:   chapitre 07 01 principle D induction mathematique
  52.    wt: 1:   chapitre 05 00 Deception
  53.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  54.    wt: 1:   chapitre 04 05 Implication versus suggestion
  55.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  56.    wt: 1:   E Energy Power05
  57.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  58.    wt: 1:   22 Student Centered Highschool Mathematics
  59.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  60.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  61.    wt: 1:   18 Primary School Mathematics
  62.    wt: 1:   16 Secondary Mathematics Tips
  63.    wt: 1:   12 Goals and Objectives For Mathematics
  64.    wt: 1:   10 Ends values for work study instruction
  65.    wt: 1:   8 The Effect of Negative Remarks
  66.    wt: 1:   Ages 10 to 12 Geometry
  67.    wt: 1:   Ages 10 to 12 Arithmetic
  68.    wt: 1:   Ages 9 to 10
  69.    wt: 1:   22 Square Root function graphically
  70.    wt: 1:   17 Function maxima minima and their location
  71.    wt: 1:   10 Interval Notation
  72.    wt: 1:   9 Set theory term relation possible origins
  73.    wt: 1:   4 Function notation in and beyond mathematics
  74.    wt: 1:   A Quadratics Summary
  75.    wt: 1:   10 quadratic exercises
  76.    wt: 1:   8 quadratics backward use of various formulas
  77.    wt: 1:   6 quadratics numerical approach
  78.    wt: 1:   3 quadratics factoring by inspection
  79.    wt: 1:   2 quadratics graphing in general
  80.    wt: 1:   1 quadratics graphing exercises
  81.    wt: 1:   10 Exponential Growth and Decay Models
  82.    wt: 1:   2 Square Root Simplification a prequel
  83.    wt: 1:   10 arctan left inverse of tangent Definition
  84.    wt: 1:   13 Velocity Vectors in Physics
  85.    wt: 1:   12 From Applied To Pure Mathematics
  86.    wt: 1:   10 Parallelogram Addition Method
  87.    wt: 1:   8 Parallel Vectors
  88.    wt: 1:   6 Vectors with Coordinates
  89.    wt: 1:   3 Navigation with Arrows or Vectors
  90.    wt: 1:   10 Straight Lines through Origin Equations More
  91.    wt: 1:   17G Pythagorean Theorem Converse
  92.    wt: 1:   17A The complex number valued trig function cis
  93.    wt: 1:   10 Graphs of sines and cosines many periods
  94.    wt: 1:   Unit Circle Development of Trigonometry
  95.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  96.    wt: 1:   15 Pythagorean Theorem Converse
  97.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  98.    wt: 1:   9 The complex number valued trig function cis
  99.    wt: 1:   8 Unit Circle Development of Trigonometry
  100.    wt: 1:   5 An Easy Proof of the Distributive Law
  101.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  102.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  103.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  104.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  105.    wt: 1:   10 Midpoint of [a b] and [b a]
  106.    wt: 1:   1 Numerical view of lines and their equations
  107.    wt: 1:   10 Pythagorean plane distance formula
  108.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  109.    wt: 1:   10 Dropping a perpendicular to line
  110.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  111.    wt: 1:   6 Figuring with Maps Not to Scale
  112.    wt: 1:   19 Signed Multiples of Vectors
  113.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  114.    wt: 1:   13 Arrows and Vectors in a Plane
  115.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  116.    wt: 1:   1 The Counting Origins of Numbers
  117.    wt: 1:   10 Real Number Lengths and Signs
  118.    wt: 1:   8 Coordinates for Maps and Planes
  119.    wt: 1:   10 One Example
  120.    wt: 1:   10 Volume of Pyramid
  121.    wt: 1:   2 Another Rectangle Area Formula Example
  122.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  123.    wt: 1:   5 Square Roots with primes more still
  124.    wt: 1:   4 Square Roots with primes more
  125.    wt: 1:   3 Properties of Square Roots with example
  126.    wt: 1:   2 Square Roots with Prime
  127.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  128.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  129.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  130.    wt: 1:   4 LCM of 8 and 10 via Prime
  131.    wt: 1:   10 dividing signed numbers
  132.    wt: 1:   3 signed coordinates for maps and planes
  133.    wt: 1:   20 Dividing Fractions the Why
  134.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  135.    wt: 1:   A Associative Law Theorectical Note
  136.    wt: 1:   10 Integer Multiplication Formulas
  137.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  138.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  139.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  140.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  141.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  142.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  143.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  144.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  145.    wt: 1:   1 Remainder Arithmetic Modulo 10
  146.    wt: 1:   11 Efficient Square Rule Use
  147.    wt: 1:   9 video Prime Factorization upto 19 squared
  148.    wt: 1:   5 Prime Factorization and a Square Rule
  149.    wt: 1:   11 Another Single Digit Divisor Example
  150.    wt: 1:   10 Division by Five Long and Short Ways
  151.    wt: 1:   8 Correcting the Mistake
  152.    wt: 1:   Subtraction Another Video Lesson
  153.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  154.    wt: 1:   The 20 Times Table
  155.    wt: 1:   The 12 Times Table Visually
  156.    wt: 1:   010 Repeated Addition of Time Intervals
  157.    wt: 1:   Example 1. Area Between x and x squared
  158.    wt: 1:   10 Power rule for negative integers
  159.    wt: 1:   10 Three one sided limits with infinite values
  160.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  161.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  162.    wt: 1:   G.3 Constant Difference Theorem Proof
  163.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  164.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  165.    wt: 1:   F.5b Extreme Value Theorem
  166.    wt: 1:   F.5a Equicontinuity Theorems
  167.    wt: 1:   F.4 Finite Covering Theorem
  168.    wt: 1:   F.3 Intermediate Value Theorem
  169.    wt: 1:   F.2 Closed Range Theorem
  170.    wt: 1:   B3 Bolzano Weierstrass Theorem
  171.    wt: 1:   Chapter 23 Links To Trigonometry
  172.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  173.    wt: 1:   Chapter 10 Slopes and Units
  174.    wt: 1:   Appendix E. How To Study Mathematics and Why
  175.    wt: 1:   Chapter 25. Mathematical Induction Examples
  176.    wt: 1:   Chapter 16. Painless Theorem Proving
  177.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  178.    wt: 1:   Chapter 10 Describing and Changing Calculations
  179.    wt: 1:   Postscript B Mathematics Education References
  180.    wt: 1:   Chapter 10 Transition
  181.    wt: 1:   Chapter 9 The Two Ends
  182.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  183.    wt: 1:   Chapter 2 For and Against Mathematics
  184.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  185.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  186.    wt: 1:   Chapter 10 Responsibility
  187.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  188.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  189.    wt: 1:   R Why Learn Mathematics Skills
  190.    wt: 1:   O On Learning Mathematics and Science
  191.    wt: 1:   N Mathematics Prepare for College Studies
  192.    wt: 1:   F. The student teacher tutor feedback loop
  193.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  194.    wt: 1:   Mathematics Education References
  195.    wt: 1:   Mathematics Education References
  196.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  197.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  198.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  199.    wt: 1:   The Math Forum and Site Content

Extended Search

900 matches:

  1.    wt: 9:   10 Similarity of Triangles Equivalent of Two Criteria
  2.    wt: 9:   5 Similarity of Circles Squares and Rectangles
  3.    wt: 9:   8 More Use of Maps Not Drawn to Scale
  4.    wt: 9:   6 Figuring with Maps Not to Scale
  5.    wt: 9:   5 Drawing to Scale Avoids Angle Distortions
  6.    wt: 8:   10 Parallelogram Addition Method
  7.    wt: 8:   6 Vectors with Coordinates
  8.    wt: 8:   Construction Methods and Criteria for Isometric and Similar Triangles
  9.    wt: 8:   10 Graphs of sines and cosines many periods
  10.    wt: 8:   Unit Circle Development of Trigonometry
  11.    wt: 8:   5 An Easy Proof of the Distributive Law
  12.    wt: 8:   Why Trigonometry the whyslopes view
  13.    wt: 8:   11 Triangle Similarity Missing Side Problem
  14.    wt: 8:   2 Similarity By Design
  15.    wt: 8:   1 Early Concept of Like or Similar Shapes
  16.    wt: 8:   10 Dropping a perpendicular to line
  17.    wt: 8:   5 Side Angle Side
  18.    wt: 8:   A Measurement with Ruler Proper Use
  19.    wt: 8:   2 Measuring Area Directly
  20.    wt: 8:   1 Length Measurement
  21.    wt: 7:   5 quadratics completing the square
  22.    wt: 7:   13 Velocity Vectors in Physics
  23.    wt: 7:   12 From Applied To Pure Mathematics
  24.    wt: 7:   11 Component Method
  25.    wt: 7:   8 Parallel Vectors
  26.    wt: 7:   5 Head To Tail Arrow Addition
  27.    wt: 7:   3 Navigation with Arrows or Vectors
  28.    wt: 7:   1 Unsigned Coordinates
  29.    wt: 7:   Parallel Lines and Parallel Transversals
  30.    wt: 7:   Proportionality of Line Segments From Parallel Transversals
  31.    wt: 7:   Triangle Angles Sum To 180 Degrees
  32.    wt: 7:   Parallel Lines and Alternating Corresponding Angles
  33.    wt: 7:   Parallel Lines and Interior Angles
  34.    wt: 7:   SAS Method For Isometric Or Proportional Triangle Construction
  35.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  36.    wt: 7:   Straight Lines ASA Intersection Study More
  37.    wt: 7:   Straight Lines ASA Intersection Study
  38.    wt: 7:   Straight Lines Instersection Solving Equations
  39.    wt: 7:   Straight Lines Intersection of
  40.    wt: 7:   17G Pythagorean Theorem Converse
  41.    wt: 7:   17A The complex number valued trig function cis
  42.    wt: 7:   13 Graph of tangent function many periods
  43.    wt: 7:   12 Graph of tangent function for one period
  44.    wt: 7:   11 tangent function undefined when terminal side vertical
  45.    wt: 7:   9 Graphs of sine and cosine over one period
  46.    wt: 7:   8 period of tangent function
  47.    wt: 7:   7 period of sine and cosine
  48.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  49.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  50.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  51.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  52.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  53.    wt: 7:   10 sine cosine Angle Sum Formulas via cis
  54.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  55.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  56.    wt: 7:   1 Angle Measurement with Degrees
  57.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  58.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  59.    wt: 7:   12 Triangles Similarity More Problems
  60.    wt: 7:   9 Similarity of Triangles Usual Criteria
  61.    wt: 7:   8 Similarity of Triangles and Polygons
  62.    wt: 7:   7 Translations Rotations Reflections Dilatations
  63.    wt: 7:   6 Geometric Diagrams in Class
  64.    wt: 7:   4 Similarity Definition with Coordinate
  65.    wt: 7:   3 Similarity by Design with coordinates
  66.    wt: 7:   10 Midpoint of [a b] and [b a]
  67.    wt: 7:   5 Algebraic View of Slopes
  68.    wt: 7:   1 Numerical view of lines and their equations
  69.    wt: 7:   10 Pythagorean plane distance formula
  70.    wt: 7:   9 Pythagorean Theorem Chinese Square Proof
  71.    wt: 7:   5 Cartesian Addition and Translation
  72.    wt: 7:   PS C Similarity Use Recognize it in Trigonometry
  73.    wt: 7:   PS A Kite Construction Methods
  74.    wt: 7:   21 Parallelograms
  75.    wt: 7:   11 Triangle Construction Fails
  76.    wt: 7:   1 Initial Concepts and Terms
  77.    wt: 6:   10 arctan left inverse of tangent Definition
  78.    wt: 6:   A Global Time and Navigation
  79.    wt: 6:   15 Dot and Cross Product
  80.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  81.    wt: 6:   9 Head to Tail Coordinate View
  82.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  83.    wt: 6:   4 Resultant of a Sum of Movements
  84.    wt: 6:   2 Signed Coordinates
  85.    wt: 6:   Vector and Complex Number Applet
  86.    wt: 6:   10 Straight Lines through Origin Equations More
  87.    wt: 6:   17 tangent function angle sum formulas
  88.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  89.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  90.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  91.    wt: 6:   32 seven rows of pascals triangle
  92.    wt: 6:   31 basic secant cosecant cotangent trig identities
  93.    wt: 6:   30 unit circle calculation of six trigonometric functions
  94.    wt: 6:   29 secant cosecant and cotangent for acute angles
  95.    wt: 6:   28 Expressing products of sines cosines as sums
  96.    wt: 6:   27 Logarithmic use of products of sines and cosines
  97.    wt: 6:   26 Formulas for products of sines and cosines
  98.    wt: 6:   25 tangent double angle formula Slope connection
  99.    wt: 6:   24 tangent Angle Difference Formula
  100.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  101.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  102.    wt: 6:   21 sine and cosine Half Angle Formulas
  103.    wt: 6:   20 sine and cosine Double Angle Formulas
  104.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  105.    wt: 6:   18 sum of sinusoidal waves as a single wave
  106.    wt: 6:   17F Law of cosines
  107.    wt: 6:   17E Trig Formulas for dot and cross Products
  108.    wt: 6:   17D cis formulas for sine cosines and tangent
  109.    wt: 6:   17C sine and cosine double triple angle formulas
  110.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  111.    wt: 6:   16 Right Triangle Complementary Angle Relations
  112.    wt: 6:   15 sine cosine Complementary Angle Relations
  113.    wt: 6:   14 cosine even and sine and tangent are odd
  114.    wt: 6:   2 Quadrant I reference Angles
  115.    wt: 6:   1 Unit Points Reflections Rotations
  116.    wt: 6:   21 Logarithms Powers and Exponentials
  117.    wt: 6:   15 Pythagorean Theorem Converse
  118.    wt: 6:   11 sine and cosine double triple angle formulas
  119.    wt: 6:   9 The complex number valued trig function cis
  120.    wt: 6:   8 Unit Circle Development of Trigonometry
  121.    wt: 6:   1 Rectangular Polar Coordinates Review
  122.    wt: 6:   8 Triangles Cascade Problem Solving
  123.    wt: 6:   7 Trignometric Ratios Unit Circle
  124.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  125.    wt: 6:   3 Trigonometric Ratios sine and cosine
  126.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  127.    wt: 6:   11 A Partial Summary
  128.    wt: 6:   11 Triangle Inequality
  129.    wt: 6:   1 Cartesian Coordinates sans signs
  130.    wt: 6:   Euclidean Geometry Elsewhere LINKS
  131.    wt: 6:   PS H Distributive Law For Complex Numbers
  132.    wt: 6:   PS G Rotation Distributes over Addition
  133.    wt: 6:   PS F Scalar Multiplication Distributes over Addition
  134.    wt: 6:   PS E Multiplication with Polar Coordinates
  135.    wt: 6:   PS D Addition with Cartesian Coordinates
  136.    wt: 6:   PS B Parallelogram Construction Methods
  137.    wt: 6:   19 Right Triangle Similarity
  138.    wt: 6:   18 Triangle Similarity Take 1
  139.    wt: 6:   17 Right Bisectors of Triangle Sides
  140.    wt: 6:   16 Angles Subtended By Chords and Diameters
  141.    wt: 6:   15 Triangle Angle Sum is 180 degrees
  142.    wt: 6:   14 Parallel Lines Postulate
  143.    wt: 6:   13 Angle Side Angle Failure
  144.    wt: 6:   12 Side Angle Side Failure
  145.    wt: 6:   9 Construction of a right bisector
  146.    wt: 6:   8 Isoceles Triangles
  147.    wt: 6:   7 Angle Side Angle
  148.    wt: 6:   6 Ruler and compass Angle Bisection
  149.    wt: 6:   4 Side Side Side
  150.    wt: 6:   3 Isometry of Triangles Congruence
  151.    wt: 6:   2 Correspondence between Triangles
  152.    wt: 6:   Short Course on Euclidean Geometry
  153.    wt: 6:   1 Squares and Square Roots Introduction
  154.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  155.    wt: 6:   10 Euclid Algorithm with 129 125 and with 45 14
  156.    wt: 6:   9 GCD of 360 110 via Primes and Euclid Algorithm
  157.    wt: 6:   4 LCM of 8 and 10 via Prime
  158.    wt: 5:   16 cotangent function Definition Graph and Inverse
  159.    wt: 5:   15 cosecant function Definition Graph and Inverse
  160.    wt: 5:   14 secant function Definition Graph and Inverse
  161.    wt: 5:   13 cosecant function Definition Graph and Inverse
  162.    wt: 5:   12 motivation for term arctan
  163.    wt: 5:   11 arctan left inverse of tangent Graph
  164.    wt: 5:   9 motivation for name arcsin
  165.    wt: 5:   8 arcsin left inverse of sine Graph
  166.    wt: 5:   7 arcsin left inverse of sine Definition
  167.    wt: 5:   6 Graph of arccos function
  168.    wt: 5:   5 Swapping Coordinates is a reflection
  169.    wt: 5:   4 possible motivation for term arccos
  170.    wt: 5:   3 Left Inverse of cosine arccos definition
  171.    wt: 5:   2 cosine function more properties
  172.    wt: 5:   1 cosine function properties
  173.    wt: 5:   9 Summary Degrees to Radians and back
  174.    wt: 5:   8 Radian Measures of Common Angles
  175.    wt: 5:   7 Radian Measures in special Triangles
  176.    wt: 5:   6 Radian Measure to Degrees
  177.    wt: 5:   5 Degrees to Radian Measure
  178.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  179.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  180.    wt: 5:   2 Radian Measure Numerical Value of one degree
  181.    wt: 5:   1 Degrees and Radians Introduction
  182.    wt: 5:   4 graphing y=Asin(x c)
  183.    wt: 5:   3 graphing y=f(x c) plus K
  184.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  185.    wt: 5:   1 graphing y=f(x a)
  186.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  187.    wt: 5:   C Straight Lines Slope from Coordinates
  188.    wt: 5:   B Straight Line Slope Scaling Properties More
  189.    wt: 5:   A Straight Line Slope Scaling Properties
  190.    wt: 5:   14 Straight Lines Equations General Case
  191.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  192.    wt: 5:   12 Straight Lines Graphing mx plus b
  193.    wt: 5:   11 Straight Lines Graphing y=mx
  194.    wt: 5:   9 Straight Lines through Origin Equations
  195.    wt: 5:   8 Straight Lines Equation for vertical
  196.    wt: 5:   7 Tangent Function is odd on this domain
  197.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  198.    wt: 5:   5 Tangent Function Graph
  199.    wt: 5:   4 Tangent Function Properties
  200.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  201.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  202.    wt: 5:   1 Straight Lines Slope Concept
  203.    wt: 5:   20 N th Roots of Complex Numbers
  204.    wt: 5:   19 N th Roots of Unity
  205.    wt: 5:   18 Sixth Roots of Unity
  206.    wt: 5:   17 Cube Roots of unity
  207.    wt: 5:   16 References and Originality Question
  208.    wt: 5:   14 Law of cosines
  209.    wt: 5:   13 Trig Formulas for dot and cross Products
  210.    wt: 5:   12 cis formulas for sine cosines and tangent
  211.    wt: 5:   7 Second Way to Calculate Products
  212.    wt: 5:   6 Field Properties of Complex Number
  213.    wt: 5:   4 Multiplication Properties
  214.    wt: 5:   3 Addition Properties
  215.    wt: 5:   2 Complex Numbers made easier we hope
  216.    wt: 5:   Appetizer A Complex Number Applet
  217.    wt: 5:   Four Simple Exercises
  218.    wt: 5:   12 Links Lessons elsewhere
  219.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  220.    wt: 5:   8 Mid Point Formula
  221.    wt: 5:   7 Exercises to test skill and concept mastery
  222.    wt: 5:   6 Intersection of lines by solving linear systems
  223.    wt: 5:   4 Equations for lines three forms
  224.    wt: 5:   3 Slope product for perpendicular lines
  225.    wt: 5:   2 point slope equation for a line
  226.    wt: 5:   What is and is not here
  227.    wt: 5:   13 Pythagorean spatial distance formulas
  228.    wt: 5:   12 Spatial Coordinates
  229.    wt: 5:   8 Distance Between Points on a Line
  230.    wt: 5:   7 Complex Numbers Appetizer
  231.    wt: 5:   6 Polar Multiplication and Rotation
  232.    wt: 5:   4 Polar Coordinates to and from
  233.    wt: 5:   3 Rectangular Coordinates Review
  234.    wt: 5:   2 Cartesian Coordinates with signs
  235.    wt: 5:   About Folder Contents
  236.    wt: 5:   5 Square Roots with primes more still
  237.    wt: 5:   4 Square Roots with primes more
  238.    wt: 5:   3 Properties of Square Roots with example
  239.    wt: 5:   2 Square Roots with Prime
  240.    wt: 5:   13 GCD from given Prime Factorization
  241.    wt: 5:   11 GCD 2700 288 via Euclid Algorithm
  242.    wt: 5:   8 GCD from Euclidean Algorithm
  243.    wt: 5:   7 GCD and LCM from prime factorization
  244.    wt: 5:   6 GCD from Prime
  245.    wt: 5:   1 Least Common Multiples LCM Introduction
  246.    wt: 5:   12 GCD 2700 288 via Prime
  247.    wt: 5:   10 Integer Multiplication Formulas
  248.    wt: 5:   5 Zero Movement and Additive Inverses
  249.    wt: 4:   key notes and themes
  250.    wt: 4:   Mathematics Education Professors
  251.    wt: 4:   Postscript 2007 01 10
  252.    wt: 4:   Maps Plans Drawings
  253.    wt: 4:   Secondary Three Mathematics
  254.    wt: 4:   Secondary Two Mathematics
  255.    wt: 4:   mathematics curriculum shifts
  256.    wt: 4:   05 13 OldSiteEntrancePage
  257.    wt: 4:   04 29 New Mathematics Curriculum
  258.    wt: 4:   04 25 when to stop or suspend mathemat
  259.    wt: 4:   02 20 mathematics education references
  260.    wt: 4:   three aims for mathematics students
  261.    wt: 4:   Theory of Knowledge
  262.    wt: 4:   mathematics instruction in general
  263.    wt: 4:   Education in mathematics science and technology
  264.    wt: 4:   three kinds of reason in mathematics
  265.    wt: 4:   cultivating intelligence
  266.    wt: 4:   need for a mixed mathematics curriculum
  267.    wt: 4:   words for mathematics instructor
  268.    wt: 4:   9 quadratics physical and further context
  269.    wt: 4:   4 quadratics difference of two squares
  270.    wt: 4:   17 GCD LCM of 85 and 60 via Prime
  271.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  272.    wt: 4:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  273.    wt: 4:   5 Common Divisors 60 45 via Prime
  274.    wt: 4:   LCM 60 45 Avoid List Method Use Prime
  275.    wt: 4:   2 Least Common Multiple LCM intro via list method
  276.    wt: 4:   A Associative Law Theorectical Note
  277.    wt: 4:   11 Adding Integers Formulas and Examples
  278.    wt: 4:   1 Integers as Coordinates
  279.    wt: 4:   10 video Prime Factorization upto 23 squared
  280.    wt: 4:   5 Prime Factorization and a Square Rule
  281.    wt: 4:   10 Names for Big Numbers and Powers of Ten Expansion
  282.    wt: 4:   5 More on Groups of 3 Place Value in Decimal Fractions
  283.    wt: 4:   Example 1. Area Between x and x squared
  284.    wt: 4:   10 Three one sided limits with infinite values
  285.    wt: 4:   5 Jumps and absence of unlimited error control
  286.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  287.    wt: 3:   10 statistics
  288.    wt: 3:   why bother
  289.    wt: 3:   which way to go
  290.    wt: 3:   three goals to set for students
  291.    wt: 3:   Teach the teachers plus goals
  292.    wt: 3:   activities for students
  293.    wt: 3:   site origins
  294.    wt: 3:   About site lesson plans
  295.    wt: 3:   grouping students according to ability
  296.    wt: 3:   what should be learnt and When
  297.    wt: 3:   mathematics in context
  298.    wt: 3:   Secondary One Mathematics
  299.    wt: 3:   talk the algebra talk
  300.    wt: 3:   What to Tell Students
  301.    wt: 3:   the trouble with algebra
  302.    wt: 3:   three goals for Mathematics Education
  303.    wt: 3:   02 21 words for teachers
  304.    wt: 3:   standards for course material
  305.    wt: 3:   Operational Viewpoint to Value
  306.    wt: 3:   formal or informal peer review
  307.    wt: 3:   Different Kinds of Reasoning in maths
  308.    wt: 3:   Four ways to improve education reform
  309.    wt: 3:   Leaner mathematics curriculum
  310.    wt: 3:   Ages 10 to 12 Geometry
  311.    wt: 3:   Ages 10 to 12 Arithmetic
  312.    wt: 3:   10 quadratic exercises
  313.    wt: 3:   8 quadratics backward use of various formulas
  314.    wt: 3:   6 quadratics numerical approach
  315.    wt: 3:   3 quadratics factoring by inspection
  316.    wt: 3:   2 quadratics graphing in general
  317.    wt: 3:   1 quadratics graphing exercises
  318.    wt: 3:   Quadratics in 10 steps
  319.    wt: 3:   5 Areas of Rectangles Revisited
  320.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  321.    wt: 3:   8 Coordinates for Maps and Planes
  322.    wt: 3:   10 One Example
  323.    wt: 3:   5 Three Examples
  324.    wt: 3:   10 dividing signed numbers
  325.    wt: 3:   5 lengths and signs of numbers
  326.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  327.    wt: 3:   D Remainders Modulo 11 Pair Rule
  328.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  329.    wt: 3:   B Integer Long Division Multiple Choices
  330.    wt: 3:   13 Subtraction with Additive Inverse
  331.    wt: 3:   12 Adding Integers More Examples
  332.    wt: 3:   9 Multiplying Integers
  333.    wt: 3:   8 Multiplication by Signed Numbers Integers
  334.    wt: 3:   7 Multiplication by Signs
  335.    wt: 3:   6 Multiplication by Natural Numbers
  336.    wt: 3:   4 Adding Movements wiht opposite directions
  337.    wt: 3:   3 Adding Movements with same direction
  338.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  339.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  340.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  341.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  342.    wt: 3:   11 Efficient Square Rule Use
  343.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  344.    wt: 3:   11 Another Single Digit Divisor Example
  345.    wt: 3:   10 Division by Five Long and Short Ways
  346.    wt: 3:   5 Long Division Include Zeroes or not
  347.    wt: 3:   5 Decimal Fraction Multiplication
  348.    wt: 3:   5 A Tip for Efficent Subtraction
  349.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  350.    wt: 3:   5. How to add decimals C. Examples
  351.    wt: 3:   1. Explaining Addition Table
  352.    wt: 3:   11 Place Value SI Standard International way
  353.    wt: 3:   1 Place Value in Three Digit Whole Numbers
  354.    wt: 3:   Example 2 volume of a cone
  355.    wt: 3:   Example 1 volume of a pyramid
  356.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  357.    wt: 3:   Example 2
  358.    wt: 3:   Area Between Curves Lesson Take 1
  359.    wt: 3:   5 Area Under Curve Exercise
  360.    wt: 3:   3 Two Chain Rule Method Exercises
  361.    wt: 3:   9 Limits Continuity and Composition
  362.    wt: 3:   1 Numerical introduction
  363.    wt: 3:   Chapter 10 Transition
  364.    wt: 3:   Helping the Blind in Logic and Mathematics
  365.    wt: 2:   Appendix 1 primary and preschool mathematic
  366.    wt: 2:   E LAMP Introduction Modern Mathematics
  367.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  368.    wt: 2:   Ramblings Extrinsic numbers theory
  369.    wt: 2:   Skills Chapter 1 Arithmetic
  370.    wt: 2:   Skills Chapter 0 Introduction
  371.    wt: 2:   11 pure mathematics
  372.    wt: 2:   5 logarithms and exponentials etc
  373.    wt: 2:   website reviews
  374.    wt: 2:   permissions for teachers
  375.    wt: 2:   Math Ed if it must be short make it lean effective
  376.    wt: 2:   Applied Maths Program14092009 POMME variant
  377.    wt: 2:   links Education Resources online
  378.    wt: 2:   site eurekas
  379.    wt: 2:   teacher certification
  380.    wt: 2:   modern education
  381.    wt: 2:   learning takes time
  382.    wt: 2:   Education Reform Inconsistencies
  383.    wt: 2:   five decades make a difference
  384.    wt: 2:   how letters appear
  385.    wt: 2:   three difficulties
  386.    wt: 2:   teaching tips
  387.    wt: 2:   geometric implications for algebra
  388.    wt: 2:   teaching tutoring algebraic reason
  389.    wt: 2:   Lessening Algebra Difficulties
  390.    wt: 2:   How to be a better instructor
  391.    wt: 2:   Motivation and Context Problem
  392.    wt: 2:   Prequel In For A Penny In For A Pound
  393.    wt: 2:   education an empirical art
  394.    wt: 2:   fairness and inductive principles for instruction
  395.    wt: 2:   chapitre 07 01 principle D induction mathematique
  396.    wt: 2:   chapitre 05 00 Deception
  397.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  398.    wt: 2:   chapitre 04 05 Implication versus suggestion
  399.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  400.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  401.    wt: 2:   10 Ends values for work study instruction
  402.    wt: 2:   5 Patience Please for Yourself and Your Charges
  403.    wt: 2:   Ages 9 to 10
  404.    wt: 2:   Ages 6 to 7
  405.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  406.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  407.    wt: 2:   sign monoticity analysis example 1
  408.    wt: 2:   10 Interval Notation
  409.    wt: 2:   5 Function notation for geometric transformations
  410.    wt: 2:   A Quadratics Summary
  411.    wt: 2:   7 quadratic formulla derivation
  412.    wt: 2:   10 Exponential Growth and Decay Models
  413.    wt: 2:   5 Natural Logarithm Calculator Exercises
  414.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  415.    wt: 2:   5 Distributive Law for Whole Numbers
  416.    wt: 2:   1 The Counting Origins of Numbers
  417.    wt: 2:   4 Fraction Operations Axiomatic Development
  418.    wt: 2:   3 Inequalities Algebraically
  419.    wt: 2:   2 Fraction Operations Physical Development
  420.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  421.    wt: 2:   5 Proportionality in Equivalent Fractions
  422.    wt: 2:   5 Triangle Area Formula Backwards
  423.    wt: 2:   10 Real Number Lengths and Signs
  424.    wt: 2:   9 Coordinates for Regions in Space
  425.    wt: 2:   7 Real Numbers as Line Cordinates
  426.    wt: 2:   6 Unsigned Real Numbers
  427.    wt: 2:   5 Rational Numbers More
  428.    wt: 2:   5 Independent versus Dependent Variables
  429.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  430.    wt: 2:   5 Algebraic Solutions Introduction
  431.    wt: 2:   Skill Development Notes
  432.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  433.    wt: 2:   5 Talking about Numbers and Quantities
  434.    wt: 2:   1 More and Less Than for Counts and Measures
  435.    wt: 2:   11 What are real lengths and numbers
  436.    wt: 2:   3 signed coordinates for maps and planes
  437.    wt: 2:   20 Dividing Fractions the Why
  438.    wt: 2:   17 Efficient Ways to Add and Subtract
  439.    wt: 2:   16 Addition Subtraction Comparision Compared
  440.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  441.    wt: 2:   14 Adding and Subtracting with Like Denominators
  442.    wt: 2:   13 Fraction Comparison Algebraic View
  443.    wt: 2:   12 Fraction Comparison
  444.    wt: 2:   11 Simplification an Algebraic View
  445.    wt: 2:   9 Improper Fractions and Mixed Numbers
  446.    wt: 2:   8 Numerals Fractionals Quantals Take II
  447.    wt: 2:   7 Numerals Fractionals Quantals
  448.    wt: 2:   6 Multiplication of Mixed Numbers
  449.    wt: 2:   6 Multiplication Algebraically Take II
  450.    wt: 2:   5 Equivalent Fractions
  451.    wt: 2:   4 Fraction Multiplication
  452.    wt: 2:   3 Unit fraction of a fraction
  453.    wt: 2:   2 Unit Fraction Multiplication
  454.    wt: 2:   1 What is a fraction Take II
  455.    wt: 2:   1 What is a fraction
  456.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  457.    wt: 2:   26 Divisibility by 2 3 5 Example
  458.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  459.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  460.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  461.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  462.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  463.    wt: 2:   1 Remainder Arithmetic Modulo 10
  464.    wt: 2:   9 video Prime Factorization upto 19 squared
  465.    wt: 2:   1 video how Products are bigger than factor
  466.    wt: 2:   8 Correcting the Mistake
  467.    wt: 2:   1 Divsion Physical Examples
  468.    wt: 2:   D Decimal Multiplication Methods Derived
  469.    wt: 2:   1 Why 3 times 5 gives 15
  470.    wt: 2:   Subtraction Another Video Lesson
  471.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  472.    wt: 2:   8 What skills and work habits to require
  473.    wt: 2:   7 Adding decimal fractions using decimal point
  474.    wt: 2:   6. Counting and adding units and mixed units
  475.    wt: 2:   4. How to add with decimals B with conversions
  476.    wt: 2:   3. How to add with decimals A sans conversions
  477.    wt: 2:   2 Decimal Counting Practices
  478.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  479.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  480.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  481.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  482.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  483.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  484.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  485.    wt: 2:   The 20 Times Table
  486.    wt: 2:   The 12 Times Table Visually
  487.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  488.    wt: 2:   010 Repeated Addition of Time Intervals
  489.    wt: 2:   Volume of Solid by Cross Sections Lesson
  490.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  491.    wt: 2:   Example 4 with x function of y
  492.    wt: 2:   Example 3
  493.    wt: 2:   Example 1
  494.    wt: 2:   Area Between Curves Lesson Take 2
  495.    wt: 2:   Summary
  496.    wt: 2:   A Related Material in Volume 3
  497.    wt: 2:   4 Definite Integrals Evaluation Exercises
  498.    wt: 2:   2 Indefinite Integrals Exercises
  499.    wt: 2:   1 Chain Rule in Reverse Integration Method
  500.    wt: 2:   4 Second derivative test exercise example
  501.    wt: 2:   38 Formulas and derivatives for powers and roots
  502.    wt: 2:   29 Chain Rule Optional Reading
  503.    wt: 2:   19 Chain Rule for linear functions
  504.    wt: 2:   17 Derivatives of quotients of sine and cosine
  505.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  506.    wt: 2:   15 sine and cosine derivatives 3rd step
  507.    wt: 2:   10 Power rule for negative integers
  508.    wt: 2:   5 Product Rule
  509.    wt: 2:   3 Motivation for Limit Definition Take 2
  510.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  511.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  512.    wt: 2:   11 Limits at infinity Three Examples
  513.    wt: 2:   8 Four Animated Examples
  514.    wt: 2:   7 Evaluation by immediate or delayed substitution
  515.    wt: 2:   6 Continuity at a point
  516.    wt: 2:   4 Numerical properties
  517.    wt: 2:   3 Decimal insights for limits continuity convergence
  518.    wt: 2:   2 Algebraic codification
  519.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  520.    wt: 2:   F.3 Intermediate Value Theorem
  521.    wt: 2:   F.2 Closed Range Theorem
  522.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  523.    wt: 2:   Chapter 10 Slopes and Units
  524.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  525.    wt: 2:   Chapter 10 Describing and Changing Calculations
  526.    wt: 2:   Postscript B Mathematics Education References
  527.    wt: 2:   Chapter 11 Elementary Instruction
  528.    wt: 2:   Chapter 9 The Two Ends
  529.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  530.    wt: 2:   Chapter 5 Four References
  531.    wt: 2:   Chapter 2 For and Against Mathematics
  532.    wt: 2:   Chapter 1 Introduction
  533.    wt: 2:   Chapter 10 Responsibility
  534.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  535.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  536.    wt: 2:   Chapter 1 Arithmetic
  537.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  538.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  539.    wt: 2:   Mathematics Education References
  540.    wt: 2:   Mathematics Education References
  541.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  542.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  543.    wt: 2:   More Algebra and Slope based Calculus Preview
  544.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  545.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  546.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  547.    wt: 2:   Which Way To Go
  548.    wt: 1:   Appendix 2 primary school Arithmetic 01
  549.    wt: 1:   K LAMP Musings Science Education
  550.    wt: 1:   J LAMP Introduction Extrinsic Origins
  551.    wt: 1:   I LAMP Introduction Study Habits
  552.    wt: 1:   H LAMP Introduction Instructional Concepts
  553.    wt: 1:   G LAMP Introduction Problem Solving Skills
  554.    wt: 1:   F LAMP Introduction Prerequisites
  555.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  556.    wt: 1:   A Introduction Objectives
  557.    wt: 1:   Skills Chapter 5 Calculus
  558.    wt: 1:   Skills Chapter 4 Logic
  559.    wt: 1:   Ramblings Introduction Algebra Essay
  560.    wt: 1:   Skills Chapter 3 Algebra
  561.    wt: 1:   Skills Chapter 2 Geometry
  562.    wt: 1:   9 combinatorics probability sets
  563.    wt: 1:   8 analytic geometry etc
  564.    wt: 1:   7 logic review and decimals an odd combination
  565.    wt: 1:   6 polynomials etc
  566.    wt: 1:   4 algebra
  567.    wt: 1:   3 Euclidean Geometry Leanly
  568.    wt: 1:   2 arithmetic with signed numbers
  569.    wt: 1:   1 arithmetic with unsigned numbers
  570.    wt: 1:   What is POMME
  571.    wt: 1:   chapitre 12 00 les iles et division
  572.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  573.    wt: 1:   chapitre 06 00 Chaines de la raison
  574.    wt: 1:   chapitre 04 09 Regles accidentelles
  575.    wt: 1:   chapitre 04 08 Limitations et benefices
  576.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  577.    wt: 1:   chapitre 04 06 engagements
  578.    wt: 1:   chapitre 04 04 Parlons de la logique
  579.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  580.    wt: 1:   chapitre 04 02 Deuxieme enigme
  581.    wt: 1:   chapitre 04 01 Premiere enigme
  582.    wt: 1:   chapitre 04 00 Les regles d implication
  583.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  584.    wt: 1:   chapitre 02 00 La Communication des idees
  585.    wt: 1:   chapitre 01 00 Introduction
  586.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  587.    wt: 1:   problemes responses
  588.    wt: 1:   problemes algebre et arithmetique
  589.    wt: 1:   E Energy Power05
  590.    wt: 1:   A Energy Power01
  591.    wt: 1:   2 Unlike resistors in parallel01
  592.    wt: 1:   1 Like resistors in series
  593.    wt: 1:   D Kirchoff First Law
  594.    wt: 1:   A Circuit Elements
  595.    wt: 1:   Home Tutoring and Home Schooling
  596.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  597.    wt: 1:   22 Student Centered Highschool Mathematics
  598.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  599.    wt: 1:   18 Primary School Mathematics
  600.    wt: 1:   16 Secondary Mathematics Tips
  601.    wt: 1:   12 Goals and Objectives For Mathematics
  602.    wt: 1:   11 Help and Defend Your Child or Teens Education
  603.    wt: 1:   8 The Effect of Negative Remarks
  604.    wt: 1:   1 Speaking Skills
  605.    wt: 1:   Ages 12 to 14 Skills with take home value
  606.    wt: 1:   Ages 12 to 14 Geometry
  607.    wt: 1:   Ages 12 to 14 Arithmetic
  608.    wt: 1:   Ages 8 to 9
  609.    wt: 1:   Ages 7 to 8
  610.    wt: 1:   Ages 4 plus to 5 plus
  611.    wt: 1:   Ages 3 plus to 4 plus
  612.    wt: 1:   sign monoticity analysis example 4
  613.    wt: 1:   sign monoticity analysis example 3
  614.    wt: 1:   sign monoticity analysis example 2
  615.    wt: 1:   22 Square Root function graphically
  616.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  617.    wt: 1:   17 Function maxima minima and their location
  618.    wt: 1:   11 Function Domain Range Source and Targets
  619.    wt: 1:   9 Set theory term relation possible origins
  620.    wt: 1:   4 Function notation in and beyond mathematics
  621.    wt: 1:   1 Geometric Introduction of Function Notation
  622.    wt: 1:   11 Growth and Decay in Biology
  623.    wt: 1:   2 Square Root Simplification a prequel
  624.    wt: 1:   1 Calculator Starter Exercises
  625.    wt: 1:   8 Notes for instructors or tutors
  626.    wt: 1:   7 Links Lessons Elsewhere
  627.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  628.    wt: 1:   4 Polynomials Long division linear divisor
  629.    wt: 1:   3 Polynomials Multiplication Addition
  630.    wt: 1:   2 Column Multiplication Method
  631.    wt: 1:   1 Polynomials Distributive Law
  632.    wt: 1:   19 Signed Multiples of Vectors
  633.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  634.    wt: 1:   13 Arrows and Vectors in a Plane
  635.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  636.    wt: 1:   9 Division with Digits after Decimal Point
  637.    wt: 1:   8 Division and Mulplication of Compound Fractions
  638.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  639.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  640.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  641.    wt: 1:   4 Location of Point in Decimal Addition
  642.    wt: 1:   3 Location of Point in Decimal Multiplication
  643.    wt: 1:   2 Counting Digits in Decimal Multiplication
  644.    wt: 1:   1 Fractions with Finite Decimal Expansions
  645.    wt: 1:   1 What is Proportionality
  646.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  647.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  648.    wt: 1:   6 Compound Interest Forward and Backwards
  649.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  650.    wt: 1:   3 Linear Equation Literal Solution More
  651.    wt: 1:   2 Linear Equation Literal Solution
  652.    wt: 1:   1 Changing Calculations
  653.    wt: 1:   5 Equality in Algebra
  654.    wt: 1:   5 Greater More Less Than Signs in General
  655.    wt: 1:   16 Real Numbers Comparison
  656.    wt: 1:   15 Real Number Division
  657.    wt: 1:   14 Real Number Multiplication
  658.    wt: 1:   13 Real Number Subtraction
  659.    wt: 1:   12 Real Number Additive Inverses or Negatives
  660.    wt: 1:   11 Real Number Addition
  661.    wt: 1:   4 Rational Numbers
  662.    wt: 1:   3 Fractions
  663.    wt: 1:   2 Integers
  664.    wt: 1:   1 Whole and Natural Numbers
  665.    wt: 1:   4 Changing Letters
  666.    wt: 1:   3 Geometric Formulas and Function Notation
  667.    wt: 1:   2 Computation Rules Evaluation
  668.    wt: 1:   1 Formulas Dependence and Function Notation
  669.    wt: 1:   More Exercises
  670.    wt: 1:   1 GE Substitution four examples
  671.    wt: 1:   1 Essentially One Unknown
  672.    wt: 1:   1 Proper Equal Sign Usage
  673.    wt: 1:   9 Three Examples
  674.    wt: 1:   8 One Example
  675.    wt: 1:   7 Two Examples
  676.    wt: 1:   6 Three Examples
  677.    wt: 1:   4 Two Examples
  678.    wt: 1:   3 Two Examples
  679.    wt: 1:   2 Three Examples
  680.    wt: 1:   10 Volume of Pyramid
  681.    wt: 1:   5 Box Volume Formula Example
  682.    wt: 1:   2 Another Rectangle Area Formula Example
  683.    wt: 1:   5 Product Builder Notation
  684.    wt: 1:   6 Three Notions of What is a Variable
  685.    wt: 1:   4 A Brief Story of numbers and algebra
  686.    wt: 1:   3 Adding Words To Arithmetic
  687.    wt: 1:   2 What is a Variable
  688.    wt: 1:   1 Three Skills For Algebra
  689.    wt: 1:   arithmetic videos Real Player Format
  690.    wt: 1:   4 Greater More Less Than Signs in General
  691.    wt: 1:   3 Comparison of Negative Numbers
  692.    wt: 1:   2 More and Less Than with Unlike Signs
  693.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  694.    wt: 1:   4 Counting with Trees Product Rule Take I
  695.    wt: 1:   3 Counting with Tables and Trees II
  696.    wt: 1:   2 Counting with Tables and Trees I
  697.    wt: 1:   1 Counting and Counting Methods I
  698.    wt: 1:   9 subtracting signed numbers
  699.    wt: 1:   8 multiplying signed numbers
  700.    wt: 1:   7 negative and additive inverse
  701.    wt: 1:   6 adding signed numbers
  702.    wt: 1:   4 signed coordinates for regions in space
  703.    wt: 1:   2 signed and unsigned numbers as coordinates
  704.    wt: 1:   7 Converting or Changing Units
  705.    wt: 1:   6 Simplification of Fractions with Units
  706.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  707.    wt: 1:   4 Fractions with Units
  708.    wt: 1:   3 Multiplying Units and Numbers
  709.    wt: 1:   2 Equality and Units
  710.    wt: 1:   1 Addition and Subtraction with Units
  711.    wt: 1:   D Three Term Ratios
  712.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  713.    wt: 1:   B Fractions and Two Term Ratios
  714.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  715.    wt: 1:   22 Complex Compound Fractions
  716.    wt: 1:   21 Working With Signs
  717.    wt: 1:   21 Reciprocals for Fractions and Wholes
  718.    wt: 1:   19 Dividing Fractions How TO
  719.    wt: 1:   18 Efficient Ways to Multiply
  720.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  721.    wt: 1:   23 Remainder Arithmetic Modulo 2
  722.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  723.    wt: 1:   21 Remainder Arithmetic Modulo 3
  724.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  725.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  726.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  727.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  728.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  729.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  730.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  731.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  732.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  733.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  734.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  735.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  736.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  737.    wt: 1:   5 Remainder Arithmetic Modulo 5
  738.    wt: 1:   20 Uniqueness of Prime Factorization
  739.    wt: 1:   19 video Prime Factorization Unique
  740.    wt: 1:   18 video Count Factors given Prime Factorization
  741.    wt: 1:   17 Identify and Count Factors using Primes
  742.    wt: 1:   16 video Factors of 980 using prime
  743.    wt: 1:   15 video Factors of 20 using Prime Factorization
  744.    wt: 1:   14 video Factors of 24 Take II
  745.    wt: 1:   13 video Factors of 24 using prime
  746.    wt: 1:   12 LCD GCD and LCM using Primes
  747.    wt: 1:   8 video Prime Factorization upto 19
  748.    wt: 1:   7 Calculator Usage Notes and Cautions
  749.    wt: 1:   4 video Prime Factorization Introduction
  750.    wt: 1:   3 video Primes and Composites from 9 times table
  751.    wt: 1:   2 Prime and Composites less than 16
  752.    wt: 1:   Long Division Backwards more
  753.    wt: 1:   Long Division Backward
  754.    wt: 1:   Division with Counts and Length
  755.    wt: 1:   Long Division forwards and backwards Example 3
  756.    wt: 1:   Long Division forwards and backwards Example 2
  757.    wt: 1:   Long Division forwards and backwards Example 1
  758.    wt: 1:   12 Why Long Division Works Take III
  759.    wt: 1:   9 Why Long Division Works Take II
  760.    wt: 1:   7 Long Divison Mistake Catching
  761.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  762.    wt: 1:   4 Division with 2 Digit Divsors
  763.    wt: 1:   3 Division Single Digit Divisor Example
  764.    wt: 1:   2 Division with Single Digit Divisors
  765.    wt: 1:   C Counting Areas with Powers of Ten
  766.    wt: 1:   B Powers of Ten
  767.    wt: 1:   A Elementary Basis for Multiplication Methods
  768.    wt: 1:   6 Multiplication Commutes Order Not Important
  769.    wt: 1:   4 Two and Three Digit Multipliers
  770.    wt: 1:   3 More One Digit Multipliers
  771.    wt: 1:   2 One Digit Multipliers
  772.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  773.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  774.    wt: 1:   Video Power Notation in Decimal Expansion
  775.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  776.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  777.    wt: 1:   Subtraction with J Conversions Example
  778.    wt: 1:   9 22 Minute Subtraction Review Video
  779.    wt: 1:   8 Subtraction with Units of Measure
  780.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  781.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  782.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  783.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  784.    wt: 1:   2 Subtraction Easy Case Examples
  785.    wt: 1:   Quick history of numbers and algebra
  786.    wt: 1:   Exact Arithmetic Wholes and Fractions
  787.    wt: 1:   Formula Evaluation how to show work
  788.    wt: 1:   Expression Evaluation how to show work
  789.    wt: 1:   About folder contents
  790.    wt: 1:   016 Numbering Occidental Calendar Days
  791.    wt: 1:   015 School and work day counting tables
  792.    wt: 1:   014 Counting Days with Calendars
  793.    wt: 1:   013 Travel Time Tables
  794.    wt: 1:   012 Division of Time Intervals by Time Intervals
  795.    wt: 1:   011 Division of Time Intervals By Numbers
  796.    wt: 1:   5 Conversion Arithmetic
  797.    wt: 1:   A Related lessons in Volume 3
  798.    wt: 1:   3 Second derivative test
  799.    wt: 1:   2 Second derivative test prequel
  800.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  801.    wt: 1:   A Chain Rule Real Player video examples
  802.    wt: 1:   36 Cube root derivative animated
  803.    wt: 1:   34 Derivative of exponential function
  804.    wt: 1:   33 Chain Rule Real Player video examples
  805.    wt: 1:   31 Derivatives of inverse functions
  806.    wt: 1:   30Chain Rule A Proof
  807.    wt: 1:   28 Chain Rule Preparation for a Proof
  808.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  809.    wt: 1:   26 Chain Rule Recognising outer inner functions
  810.    wt: 1:   25 Chain Rule Animated Examples Continued
  811.    wt: 1:   24 Chain Rule Animated Examples
  812.    wt: 1:   23 Chain Rule in general
  813.    wt: 1:   22 Chain Rule for polynomials
  814.    wt: 1:   21 Chain Rule for powers
  815.    wt: 1:   20 Chain Rule for Pulley Systems
  816.    wt: 1:   18 Chain Rule Introduction
  817.    wt: 1:   14 sine and cosine derivatives 2nd step
  818.    wt: 1:   13 sine and cosine derivatives 1st step
  819.    wt: 1:   12 Quotient rule examples
  820.    wt: 1:   11 Quotient rule
  821.    wt: 1:   9 Reciprocal rule
  822.    wt: 1:   8 Differentiation of polynomials
  823.    wt: 1:   7 Animated Differentiation Examples
  824.    wt: 1:   6 Power rule from product rule
  825.    wt: 1:   4 Sum Rule
  826.    wt: 1:   2 Motivation for Limit Definition Take 1
  827.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  828.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  829.    wt: 1:   G.3 Constant Difference Theorem Proof
  830.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  831.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  832.    wt: 1:   F.5b Extreme Value Theorem
  833.    wt: 1:   F.5a Equicontinuity Theorems
  834.    wt: 1:   F.4 Finite Covering Theorem
  835.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  836.    wt: 1:   B3 Bolzano Weierstrass Theorem
  837.    wt: 1:   PostScript For and Against Decimal Perspectives
  838.    wt: 1:   A1. Introduction
  839.    wt: 1:   Chapter 23 Links To Trigonometry
  840.    wt: 1:   Chapter 21 Arrow Addition
  841.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  842.    wt: 1:   Chapter 11. Graphing Slope versus Position
  843.    wt: 1:   Chapter 5. Slope Sign Tests
  844.    wt: 1:   Chapter 1.Introduction
  845.    wt: 1:   Foreword
  846.    wt: 1:   Appendix E. How To Study Mathematics and Why
  847.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  848.    wt: 1:   Chapter 31 Direct and Indirect Reason
  849.    wt: 1:   Chapter 25. Mathematical Induction Examples
  850.    wt: 1:   Chapter 21. Third Reading Guide
  851.    wt: 1:   Chapter 16. Painless Theorem Proving
  852.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  853.    wt: 1:   Chapter 11. Why Shorthand
  854.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  855.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  856.    wt: 1:   Annotated Links to Material Elsehwere
  857.    wt: 1:   Postscript A Three Remarks
  858.    wt: 1:   Chapter 12 Four Phases
  859.    wt: 1:   Chapter 8 Modern Instruction
  860.    wt: 1:   Chapter 7 Two Treatments of Geometry
  861.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  862.    wt: 1:   Chapter 3 Algebra Difficulties
  863.    wt: 1:   Foreword
  864.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  865.    wt: 1:   Chapter 21 Occurrence Tables
  866.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  867.    wt: 1:   Chapter 11 Accidental Patterns
  868.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  869.    wt: 1:   Chapter 5 Deception
  870.    wt: 1:   Chapter 1 Introduction
  871.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  872.    wt: 1:   R Why Learn Mathematics Skills
  873.    wt: 1:   O On Learning Mathematics and Science
  874.    wt: 1:   N Mathematics Prepare for College Studies
  875.    wt: 1:   N Improving Marks on Tests and Finals
  876.    wt: 1:   J. More on written work and showing skill
  877.    wt: 1:   F. The student teacher tutor feedback loop
  878.    wt: 1:   E. When and how to correct errors
  879.    wt: 1:   A. Skill has to be seen to believed
  880.    wt: 1:   Chapter 8 Skipped Topics and Why
  881.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  882.    wt: 1:   Chapter 6 More Algebra and Geometry
  883.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  884.    wt: 1:   Chapter 3 Algebra Starter Lessons
  885.    wt: 1:   Chapter 2 Why Sets
  886.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  887.    wt: 1:   7 Games and Activities for Instruction
  888.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  889.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  890.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  891.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  892.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  893.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  894.    wt: 1:   Implementation Notes
  895.    wt: 1:   Systematic Algebra Skill Development Missing Links
  896.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  897.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  898.    wt: 1:   The Math Forum and Site Content
  899.    wt: 10:   4 Angles on Maps Plans drawn to scale
  900.    wt: 10:   3 Lengths and Areas on Maps and Plans
Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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