Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: 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. Reform: look before you leap - plan all in detail first.

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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31 matches:

  1.    wt: 3:   15 Arc or Inverse Trigonometric Function/
  2.    wt: 3:   14 Degrees to Radians and Radians to Degrees/
  3.    wt: 3:   12 Function Translating and Rescaling/
  4.    wt: 2:   Parent Center/
  5.    wt: 2:   13 Vectors/
  6.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  7.    wt: 1:   LAMP Lean Applied Mathematics Program/
  8.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  9.    wt: 1:   Mathematics Education Essays/
  10.    wt: 1:   Mathematics Skills Year by Year/
  11.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  12.    wt: 1:   11 Parallel Straight Lines and Transversals/
  13.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  14.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  15.    wt: 1:   8 Unit Circle Trigonometry/
  16.    wt: 1:   7 Complex Numbers/
  17.    wt: 1:   6 Trigonometry first steps/
  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:   2 Euclidean Geometry Constructions Theory extras/
  22.    wt: 1:   1 Maps Plans Measurement/
  23.    wt: 1:   Geometry maps plans trigonometry vectors/
  24.    wt: 1:   9 Combinatorics Trees Tables and Products/
  25.    wt: 1:   3 Prime Factorization Skills/
  26.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  27.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  28.    wt: 1:   Mathematics 506 Lessons/
  29.    wt: 1:   Secondary Mathematics A Practical Approach/
  30.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  31.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

227 matches:

  1.    wt: 3:   Ages 12 to 14 Skills with take home value
  2.    wt: 3:   Ages 12 to 14 Geometry
  3.    wt: 3:   Ages 12 to 14 Arithmetic
  4.    wt: 3:   Ages 10 to 12 Geometry
  5.    wt: 3:   Ages 10 to 12 Arithmetic
  6.    wt: 3:   13 From one to one to many to one
  7.    wt: 3:   12 From Applied To Pure Mathematics
  8.    wt: 3:   15 video Factors of 20 using Prime Factorization
  9.    wt: 2:   04 25 when to stop or suspend mathemat
  10.    wt: 2:   How to be a better instructor
  11.    wt: 2:   words for mathematics instructor
  12.    wt: 2:   22 Student Centered Highschool Mathematics
  13.    wt: 2:   12 Goals and Objectives For Mathematics
  14.    wt: 2:   Ages 9 to 10
  15.    wt: 2:   Ages 8 to 9
  16.    wt: 2:   Ages 7 to 8
  17.    wt: 2:   Ages 6 to 7
  18.    wt: 2:   Ages 4 plus to 5 plus
  19.    wt: 2:   Ages 3 plus to 4 plus
  20.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  21.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  22.    wt: 2:   8 Notes for instructors or tutors
  23.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  24.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  25.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  26.    wt: 2:   15 Head to Tails in place Addition Associative
  27.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  28.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  29.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  30.    wt: 2:   18 video Count Factors given Prime Factorization
  31.    wt: 2:   10 video Prime Factorization upto 23 squared
  32.    wt: 2:   9 video Prime Factorization upto 19 squared
  33.    wt: 2:   8 video Prime Factorization upto 19
  34.    wt: 2:   Appendix E. How To Study Mathematics and Why
  35.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  36.    wt: 2:   A. Skill has to be seen to believed
  37.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  38.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  39.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  40.    wt: 1:   E LAMP Introduction Modern Mathematics
  41.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  42.    wt: 1:   11 pure mathematics
  43.    wt: 1:   9 combinatorics probability sets
  44.    wt: 1:   which way to go
  45.    wt: 1:   three goals to set for students
  46.    wt: 1:   Mathematics Education Professors
  47.    wt: 1:   grouping students according to ability
  48.    wt: 1:   mathematics in context
  49.    wt: 1:   Secondary Three Mathematics
  50.    wt: 1:   Secondary Two Mathematics
  51.    wt: 1:   Secondary One Mathematics
  52.    wt: 1:   What to Tell Students
  53.    wt: 1:   mathematics curriculum shifts
  54.    wt: 1:   teaching tutoring algebraic reason
  55.    wt: 1:   three goals for Mathematics Education
  56.    wt: 1:   04 29 New Mathematics Curriculum
  57.    wt: 1:   02 20 mathematics education references
  58.    wt: 1:   three aims for mathematics students
  59.    wt: 1:   Operational Viewpoint to Value
  60.    wt: 1:   mathematics instruction in general
  61.    wt: 1:   Education in mathematics science and technology
  62.    wt: 1:   three kinds of reason in mathematics
  63.    wt: 1:   Four ways to improve education reform
  64.    wt: 1:   need for a mixed mathematics curriculum
  65.    wt: 1:   Leaner mathematics curriculum
  66.    wt: 1:   chapitre 12 00 les iles et division
  67.    wt: 1:   3 Like resistors in parallel
  68.    wt: 1:   2 Unlike resistors in parallel01
  69.    wt: 1:   1 Like resistors in series
  70.    wt: 1:   F Unlike Resistors in Series
  71.    wt: 1:   Home Tutoring and Home Schooling
  72.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  73.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  74.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  75.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  76.    wt: 1:   18 Primary School Mathematics
  77.    wt: 1:   16 Secondary Mathematics Tips
  78.    wt: 1:   15 Counting For Parents
  79.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  80.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  81.    wt: 1:   15 Sign analysis of functions
  82.    wt: 1:   12 Function Domain Recognition Exercises
  83.    wt: 1:   4 Function notation in and beyond mathematics
  84.    wt: 1:   3 quadratics factoring by inspection
  85.    wt: 1:   5 Natural Logarithm Calculator Exercises
  86.    wt: 1:   1 Calculator Starter Exercises
  87.    wt: 1:   15 cosecant function Definition Graph and Inverse
  88.    wt: 1:   12 motivation for term arctan
  89.    wt: 1:   9 Summary Degrees to Radians and back
  90.    wt: 1:   6 Radian Measure to Degrees
  91.    wt: 1:   5 Degrees to Radian Measure
  92.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  93.    wt: 1:   15 Dot and Cross Product
  94.    wt: 1:   13 Velocity Vectors in Physics
  95.    wt: 1:   9 Head to Tail Coordinate View
  96.    wt: 1:   8 Parallel Vectors
  97.    wt: 1:   6 Vectors with Coordinates
  98.    wt: 1:   5 Head To Tail Arrow Addition
  99.    wt: 1:   3 Navigation with Arrows or Vectors
  100.    wt: 1:   Vector and Complex Number Applet
  101.    wt: 1:   Triangle Angles Sum To 180 Degrees
  102.    wt: 1:   12 Straight Lines Graphing mx plus b
  103.    wt: 1:   15 sine cosine Complementary Angle Relations
  104.    wt: 1:   12 Graph of tangent function for one period
  105.    wt: 1:   15 Pythagorean Theorem Converse
  106.    wt: 1:   12 cis formulas for sine cosines and tangent
  107.    wt: 1:   7 Second Way to Calculate Products
  108.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  109.    wt: 1:   12 Triangles Similarity More Problems
  110.    wt: 1:   12 Links Lessons elsewhere
  111.    wt: 1:   7 Exercises to test skill and concept mastery
  112.    wt: 1:   12 Spatial Coordinates
  113.    wt: 1:   4 Polar Coordinates to and from
  114.    wt: 1:   17 Right Bisectors of Triangle Sides
  115.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  116.    wt: 1:   12 Side Angle Side Failure
  117.    wt: 1:   10 Dropping a perpendicular to line
  118.    wt: 1:   9 Construction of a right bisector
  119.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  120.    wt: 1:   6 Figuring with Maps Not to Scale
  121.    wt: 1:   4 Angles on Maps Plans drawn to scale
  122.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  123.    wt: 1:   21 Addition of Multiples of a Single Vector
  124.    wt: 1:   19 Signed Multiples of Vectors
  125.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  126.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  127.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  128.    wt: 1:   13 Arrows and Vectors in a Plane
  129.    wt: 1:   12 Real Numbers Line Signed Coordinates
  130.    wt: 1:   15 Real Number Division
  131.    wt: 1:   12 Real Number Additive Inverses or Negatives
  132.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  133.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  134.    wt: 1:   4 A Brief Story of numbers and algebra
  135.    wt: 1:   3 Adding Words To Arithmetic
  136.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  137.    wt: 1:   13 GCD from given Prime Factorization
  138.    wt: 1:   7 GCD and LCM from prime factorization
  139.    wt: 1:   12 GCD 2700 288 via Prime
  140.    wt: 1:   19 Dividing Fractions How TO
  141.    wt: 1:   18 Efficient Ways to Multiply
  142.    wt: 1:   17 Efficient Ways to Add and Subtract
  143.    wt: 1:   14 Adding and Subtracting with Like Denominators
  144.    wt: 1:   12 Fraction Comparison
  145.    wt: 1:   12 Adding Integers More Examples
  146.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  147.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  148.    wt: 1:   20 Uniqueness of Prime Factorization
  149.    wt: 1:   19 video Prime Factorization Unique
  150.    wt: 1:   17 Identify and Count Factors using Primes
  151.    wt: 1:   16 video Factors of 980 using prime
  152.    wt: 1:   14 video Factors of 24 Take II
  153.    wt: 1:   13 video Factors of 24 using prime
  154.    wt: 1:   12 LCD GCD and LCM using Primes
  155.    wt: 1:   7 Calculator Usage Notes and Cautions
  156.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  157.    wt: 1:   5 Prime Factorization and a Square Rule
  158.    wt: 1:   4 video Prime Factorization Introduction
  159.    wt: 1:   1 video how Products are bigger than factor
  160.    wt: 1:   12 Why Long Division Works Take III
  161.    wt: 1:   1 Why 3 times 5 gives 15
  162.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  163.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  164.    wt: 1:   8 What skills and work habits to require
  165.    wt: 1:   5. How to add decimals C. Examples
  166.    wt: 1:   4. How to add with decimals B with conversions
  167.    wt: 1:   3. How to add with decimals A sans conversions
  168.    wt: 1:   Quick history of numbers and algebra
  169.    wt: 1:   Formula Evaluation how to show work
  170.    wt: 1:   Expression Evaluation how to show work
  171.    wt: 1:   The 12 Times Table Visually
  172.    wt: 1:   015 School and work day counting tables
  173.    wt: 1:   012 Division of Time Intervals by Time Intervals
  174.    wt: 1:   8 Addition of Time Intervals via subtotaling
  175.    wt: 1:   1 Intro of Kids To Time Date Skills
  176.    wt: 1:   15 sine and cosine derivatives 3rd step
  177.    wt: 1:   12 Quotient rule examples
  178.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  179.    wt: 1:   D2 Limits of Monotone Sequences
  180.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  181.    wt: 1:   Chapter 23 Links To Trigonometry
  182.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  183.    wt: 1:   Chapter 15. Slope Approximation
  184.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  185.    wt: 1:   Chapter 12. Units and Slopes
  186.    wt: 1:   Appendix D. What to do in School and Why
  187.    wt: 1:   Appendix C. How to Read
  188.    wt: 1:   Appendix B. How To Learn
  189.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  190.    wt: 1:   Chapter 15. Solving Linear Equations
  191.    wt: 1:   Chapter 12. Shorthand Usage Guide
  192.    wt: 1:   Annotated Links to Material Elsehwere
  193.    wt: 1:   Postscript B Mathematics Education References
  194.    wt: 1:   Chapter 12 Four Phases
  195.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  196.    wt: 1:   Chapter 2 For and Against Mathematics
  197.    wt: 1:   Postscript C Consistency as a Tool for Reason
  198.    wt: 1:   Postscript B More on Story Telling and Reason
  199.    wt: 1:   Postscript A Story Telling
  200.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  201.    wt: 1:   Chapter 15 Objective Processes
  202.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  203.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  204.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  205.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  206.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  207.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  208.    wt: 1:   S Adding words to algebra
  209.    wt: 1:   R Why Learn Mathematics Skills
  210.    wt: 1:   O On Learning Mathematics and Science
  211.    wt: 1:   N Mathematics Prepare for College Studies
  212.    wt: 1:   M Words to extend arithmetic
  213.    wt: 1:   H more Routine to non routine problem solving
  214.    wt: 1:   F. The student teacher tutor feedback loop
  215.    wt: 1:   E. When and how to correct errors
  216.    wt: 1:   How to Build Skills and Confidence
  217.    wt: 1:   Chapter 8 Skipped Topics and Why
  218.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  219.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  220.    wt: 1:   Helping the Blind in Logic and Mathematics
  221.    wt: 1:   Mathematics Education References
  222.    wt: 1:   Mathematics Education References
  223.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  224.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  225.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  226.    wt: 1:   Which Way To Go
  227.    wt: 1:   Mathematics Teacher Certification Best Practices

Extended Search

590 matches:

  1.    wt: 6:   12 From Applied To Pure Mathematics
  2.    wt: 5:   12 Goals and Objectives For Mathematics
  3.    wt: 5:   Ages 12 to 14 Skills with take home value
  4.    wt: 5:   Ages 12 to 14 Geometry
  5.    wt: 5:   Ages 12 to 14 Arithmetic
  6.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  7.    wt: 5:   15 video Factors of 20 using Prime Factorization
  8.    wt: 4:   22 Student Centered Highschool Mathematics
  9.    wt: 4:   15 Counting For Parents
  10.    wt: 4:   Ages 10 to 12 Geometry
  11.    wt: 4:   Ages 10 to 12 Arithmetic
  12.    wt: 4:   15 cosecant function Definition Graph and Inverse
  13.    wt: 4:   12 motivation for term arctan
  14.    wt: 4:   5 Swapping Coordinates is a reflection
  15.    wt: 4:   2 cosine function more properties
  16.    wt: 4:   9 Summary Degrees to Radians and back
  17.    wt: 4:   6 Radian Measure to Degrees
  18.    wt: 4:   5 Degrees to Radian Measure
  19.    wt: 4:   3 Circle Arclengh Proportional to Central Angle
  20.    wt: 4:   2 Radian Measure Numerical Value of one degree
  21.    wt: 4:   15 Dot and Cross Product
  22.    wt: 3:   04 25 when to stop or suspend mathemat
  23.    wt: 3:   How to be a better instructor
  24.    wt: 3:   words for mathematics instructor
  25.    wt: 3:   Home Tutoring and Home Schooling
  26.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  27.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  28.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  29.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  30.    wt: 3:   18 Primary School Mathematics
  31.    wt: 3:   16 Secondary Mathematics Tips
  32.    wt: 3:   Ages 9 to 10
  33.    wt: 3:   Ages 8 to 9
  34.    wt: 3:   Ages 7 to 8
  35.    wt: 3:   Ages 6 to 7
  36.    wt: 3:   Ages 4 plus to 5 plus
  37.    wt: 3:   Ages 3 plus to 4 plus
  38.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  39.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  40.    wt: 3:   13 From one to one to many to one
  41.    wt: 3:   16 cotangent function Definition Graph and Inverse
  42.    wt: 3:   14 secant function Definition Graph and Inverse
  43.    wt: 3:   13 cosecant function Definition Graph and Inverse
  44.    wt: 3:   11 arctan left inverse of tangent Graph
  45.    wt: 3:   10 arctan left inverse of tangent Definition
  46.    wt: 3:   9 motivation for name arcsin
  47.    wt: 3:   8 arcsin left inverse of sine Graph
  48.    wt: 3:   7 arcsin left inverse of sine Definition
  49.    wt: 3:   6 Graph of arccos function
  50.    wt: 3:   4 possible motivation for term arccos
  51.    wt: 3:   3 Left Inverse of cosine arccos definition
  52.    wt: 3:   1 cosine function properties
  53.    wt: 3:   8 Radian Measures of Common Angles
  54.    wt: 3:   7 Radian Measures in special Triangles
  55.    wt: 3:   1 Degrees and Radians Introduction
  56.    wt: 3:   13 Velocity Vectors in Physics
  57.    wt: 3:   9 Head to Tail Coordinate View
  58.    wt: 3:   8 Parallel Vectors
  59.    wt: 3:   6 Vectors with Coordinates
  60.    wt: 3:   5 Head To Tail Arrow Addition
  61.    wt: 3:   3 Navigation with Arrows or Vectors
  62.    wt: 3:   Vector and Complex Number Applet
  63.    wt: 3:   4 graphing y=Asin(x c)
  64.    wt: 3:   3 graphing y=f(x c) plus K
  65.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  66.    wt: 3:   1 graphing y=f(x a)
  67.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  68.    wt: 3:   15 Pythagorean Theorem Converse
  69.    wt: 3:   12 cis formulas for sine cosines and tangent
  70.    wt: 3:   12 Triangles Similarity More Problems
  71.    wt: 3:   12 Links Lessons elsewhere
  72.    wt: 3:   12 Spatial Coordinates
  73.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  74.    wt: 3:   12 Side Angle Side Failure
  75.    wt: 3:   5 Drawing to Scale Avoids Angle Distortions
  76.    wt: 3:   18 video Count Factors given Prime Factorization
  77.    wt: 3:   12 LCD GCD and LCM using Primes
  78.    wt: 3:   10 video Prime Factorization upto 23 squared
  79.    wt: 3:   9 video Prime Factorization upto 19 squared
  80.    wt: 3:   8 video Prime Factorization upto 19
  81.    wt: 3:   Annotated Links to Material Elsehwere
  82.    wt: 3:   Chapter 12 Four Phases
  83.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  84.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  85.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  86.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  87.    wt: 2:   E LAMP Introduction Modern Mathematics
  88.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  89.    wt: 2:   Skills Chapter 5 Calculus
  90.    wt: 2:   Skills Chapter 2 Geometry
  91.    wt: 2:   11 pure mathematics
  92.    wt: 2:   9 combinatorics probability sets
  93.    wt: 2:   which way to go
  94.    wt: 2:   three goals to set for students
  95.    wt: 2:   Mathematics Education Professors
  96.    wt: 2:   learning takes time
  97.    wt: 2:   grouping students according to ability
  98.    wt: 2:   mathematics in context
  99.    wt: 2:   five decades make a difference
  100.    wt: 2:   Maps Plans Drawings
  101.    wt: 2:   Secondary Three Mathematics
  102.    wt: 2:   Secondary Two Mathematics
  103.    wt: 2:   Secondary One Mathematics
  104.    wt: 2:   What to Tell Students
  105.    wt: 2:   mathematics curriculum shifts
  106.    wt: 2:   teaching tutoring algebraic reason
  107.    wt: 2:   three goals for Mathematics Education
  108.    wt: 2:   04 29 New Mathematics Curriculum
  109.    wt: 2:   02 20 mathematics education references
  110.    wt: 2:   three aims for mathematics students
  111.    wt: 2:   Operational Viewpoint to Value
  112.    wt: 2:   mathematics instruction in general
  113.    wt: 2:   Education in mathematics science and technology
  114.    wt: 2:   three kinds of reason in mathematics
  115.    wt: 2:   Four ways to improve education reform
  116.    wt: 2:   need for a mixed mathematics curriculum
  117.    wt: 2:   Leaner mathematics curriculum
  118.    wt: 2:   3 Like resistors in parallel
  119.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  120.    wt: 2:   24 Standards For Skill Develoment Take II
  121.    wt: 2:   24 Standards For Skill Develoment
  122.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  123.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  124.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  125.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  126.    wt: 2:   17 Math Booklets for children and young teenagers
  127.    wt: 2:   14 Multiplication and Times Tables
  128.    wt: 2:   13 Addition and Addition Tables
  129.    wt: 2:   11 Help and Defend Your Child or Teens Education
  130.    wt: 2:   10 Ends values for work study instruction
  131.    wt: 2:   9 Streaming by Student Cooperation
  132.    wt: 2:   8 The Effect of Negative Remarks
  133.    wt: 2:   7 Student Motivation
  134.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  135.    wt: 2:   5 Patience Please for Yourself and Your Charges
  136.    wt: 2:   4 Learning Takes Time and Effort
  137.    wt: 2:   3 Preparing for Science Studies
  138.    wt: 2:   2 Reading and Writing Skills
  139.    wt: 2:   1 Speaking Skills
  140.    wt: 2:   15 Sign analysis of functions
  141.    wt: 2:   12 Function Domain Recognition Exercises
  142.    wt: 2:   8 Notes for instructors or tutors
  143.    wt: 2:   A Global Time and Navigation
  144.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  145.    wt: 2:   11 Component Method
  146.    wt: 2:   10 Parallelogram Addition Method
  147.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  148.    wt: 2:   4 Resultant of a Sum of Movements
  149.    wt: 2:   2 Signed Coordinates
  150.    wt: 2:   1 Unsigned Coordinates
  151.    wt: 2:   Triangle Angles Sum To 180 Degrees
  152.    wt: 2:   12 Straight Lines Graphing mx plus b
  153.    wt: 2:   30 unit circle calculation of six trigonometric functions
  154.    wt: 2:   29 secant cosecant and cotangent for acute angles
  155.    wt: 2:   28 Expressing products of sines cosines as sums
  156.    wt: 2:   27 Logarithmic use of products of sines and cosines
  157.    wt: 2:   26 Formulas for products of sines and cosines
  158.    wt: 2:   25 tangent double angle formula Slope connection
  159.    wt: 2:   24 tangent Angle Difference Formula
  160.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  161.    wt: 2:   21 sine and cosine Half Angle Formulas
  162.    wt: 2:   17G Pythagorean Theorem Converse
  163.    wt: 2:   17F Law of cosines
  164.    wt: 2:   17E Trig Formulas for dot and cross Products
  165.    wt: 2:   17D cis formulas for sine cosines and tangent
  166.    wt: 2:   17C sine and cosine double triple angle formulas
  167.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  168.    wt: 2:   17A The complex number valued trig function cis
  169.    wt: 2:   15 sine cosine Complementary Angle Relations
  170.    wt: 2:   12 Graph of tangent function for one period
  171.    wt: 2:   7 Second Way to Calculate Products
  172.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  173.    wt: 2:   7 Translations Rotations Reflections Dilatations
  174.    wt: 2:   4 Similarity Definition with Coordinate
  175.    wt: 2:   7 Exercises to test skill and concept mastery
  176.    wt: 2:   4 Polar Coordinates to and from
  177.    wt: 2:   17 Right Bisectors of Triangle Sides
  178.    wt: 2:   10 Dropping a perpendicular to line
  179.    wt: 2:   9 Construction of a right bisector
  180.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  181.    wt: 2:   6 Figuring with Maps Not to Scale
  182.    wt: 2:   4 Angles on Maps Plans drawn to scale
  183.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  184.    wt: 2:   15 Head to Tails in place Addition Associative
  185.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  186.    wt: 2:   4 Greater More Less Than Signs in General
  187.    wt: 2:   3 Comparison of Negative Numbers
  188.    wt: 2:   2 More and Less Than with Unlike Signs
  189.    wt: 2:   1 More and Less Than for Counts and Measures
  190.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  191.    wt: 2:   19 Dividing Fractions How TO
  192.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  193.    wt: 2:   12 Adding Integers More Examples
  194.    wt: 2:   20 Uniqueness of Prime Factorization
  195.    wt: 2:   19 video Prime Factorization Unique
  196.    wt: 2:   17 Identify and Count Factors using Primes
  197.    wt: 2:   16 video Factors of 980 using prime
  198.    wt: 2:   14 video Factors of 24 Take II
  199.    wt: 2:   13 video Factors of 24 using prime
  200.    wt: 2:   7 Calculator Usage Notes and Cautions
  201.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  202.    wt: 2:   5 Prime Factorization and a Square Rule
  203.    wt: 2:   4 video Prime Factorization Introduction
  204.    wt: 2:   1 video how Products are bigger than factor
  205.    wt: 2:   12 Why Long Division Works Take III
  206.    wt: 2:   Chapter 15. Slope Approximation
  207.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  208.    wt: 2:   Chapter 12. Units and Slopes
  209.    wt: 2:   Appendix E. How To Study Mathematics and Why
  210.    wt: 2:   Chapter 15. Solving Linear Equations
  211.    wt: 2:   Chapter 12. Shorthand Usage Guide
  212.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  213.    wt: 2:   Postscript B Mathematics Education References
  214.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  215.    wt: 2:   Chapter 2 For and Against Mathematics
  216.    wt: 2:   Chapter 15 Objective Processes
  217.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  218.    wt: 2:   O On Learning Mathematics and Science
  219.    wt: 2:   A. Skill has to be seen to believed
  220.    wt: 2:   Chapter 8 Skipped Topics and Why
  221.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  222.    wt: 2:   Helping the Blind in Logic and Mathematics
  223.    wt: 2:   Mathematics Education References
  224.    wt: 2:   Mathematics Education References
  225.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  226.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  227.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  228.    wt: 2:   Which Way To Go
  229.    wt: 1:   Appendix 2 primary school Arithmetic 01
  230.    wt: 1:   Appendix 1 primary and preschool mathematic
  231.    wt: 1:   K LAMP Musings Science Education
  232.    wt: 1:   J LAMP Introduction Extrinsic Origins
  233.    wt: 1:   I LAMP Introduction Study Habits
  234.    wt: 1:   H LAMP Introduction Instructional Concepts
  235.    wt: 1:   G LAMP Introduction Problem Solving Skills
  236.    wt: 1:   F LAMP Introduction Prerequisites
  237.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  238.    wt: 1:   A Introduction Objectives
  239.    wt: 1:   Skills Chapter 4 Logic
  240.    wt: 1:   Ramblings Extrinsic numbers theory
  241.    wt: 1:   Ramblings Introduction Algebra Essay
  242.    wt: 1:   Skills Chapter 3 Algebra
  243.    wt: 1:   Skills Chapter 1 Arithmetic
  244.    wt: 1:   Skills Chapter 0 Introduction
  245.    wt: 1:   10 statistics
  246.    wt: 1:   8 analytic geometry etc
  247.    wt: 1:   7 logic review and decimals an odd combination
  248.    wt: 1:   6 polynomials etc
  249.    wt: 1:   5 logarithms and exponentials etc
  250.    wt: 1:   4 algebra
  251.    wt: 1:   3 Euclidean Geometry Leanly
  252.    wt: 1:   2 arithmetic with signed numbers
  253.    wt: 1:   1 arithmetic with unsigned numbers
  254.    wt: 1:   What is POMME
  255.    wt: 1:   why bother
  256.    wt: 1:   website reviews
  257.    wt: 1:   Teach the teachers plus goals
  258.    wt: 1:   permissions for teachers
  259.    wt: 1:   Math Ed if it must be short make it lean effective
  260.    wt: 1:   Applied Maths Program14092009 POMME variant
  261.    wt: 1:   activities for students
  262.    wt: 1:   links Education Resources online
  263.    wt: 1:   site origins
  264.    wt: 1:   site eurekas
  265.    wt: 1:   About site lesson plans
  266.    wt: 1:   key notes and themes
  267.    wt: 1:   teacher certification
  268.    wt: 1:   modern education
  269.    wt: 1:   what should be learnt and When
  270.    wt: 1:   Postscript 2007 01 10
  271.    wt: 1:   Education Reform Inconsistencies
  272.    wt: 1:   how letters appear
  273.    wt: 1:   talk the algebra talk
  274.    wt: 1:   three difficulties
  275.    wt: 1:   teaching tips
  276.    wt: 1:   geometric implications for algebra
  277.    wt: 1:   Lessening Algebra Difficulties
  278.    wt: 1:   the trouble with algebra
  279.    wt: 1:   05 13 OldSiteEntrancePage
  280.    wt: 1:   02 21 words for teachers
  281.    wt: 1:   standards for course material
  282.    wt: 1:   formal or informal peer review
  283.    wt: 1:   Theory of Knowledge
  284.    wt: 1:   Different Kinds of Reasoning in maths
  285.    wt: 1:   cultivating intelligence
  286.    wt: 1:   Motivation and Context Problem
  287.    wt: 1:   Prequel In For A Penny In For A Pound
  288.    wt: 1:   education an empirical art
  289.    wt: 1:   fairness and inductive principles for instruction
  290.    wt: 1:   chapitre 12 00 les iles et division
  291.    wt: 1:   C Wire Resistance Calculation01
  292.    wt: 1:   2 Unlike resistors in parallel01
  293.    wt: 1:   1 Like resistors in series
  294.    wt: 1:   F Unlike Resistors in Series
  295.    wt: 1:   sign monoticity analysis example 4
  296.    wt: 1:   sign monoticity analysis example 3
  297.    wt: 1:   sign monoticity analysis example 2
  298.    wt: 1:   sign monoticity analysis example 1
  299.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  300.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  301.    wt: 1:   4 Function notation in and beyond mathematics
  302.    wt: 1:   3 quadratics factoring by inspection
  303.    wt: 1:   5 Natural Logarithm Calculator Exercises
  304.    wt: 1:   1 Calculator Starter Exercises
  305.    wt: 1:   Parallel Lines and Parallel Transversals
  306.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  307.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  308.    wt: 1:   Parallel Lines and Interior Angles
  309.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  310.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  311.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  312.    wt: 1:   Straight Lines ASA Intersection Study More
  313.    wt: 1:   Straight Lines ASA Intersection Study
  314.    wt: 1:   Straight Lines Instersection Solving Equations
  315.    wt: 1:   Straight Lines Intersection of
  316.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  317.    wt: 1:   C Straight Lines Slope from Coordinates
  318.    wt: 1:   B Straight Line Slope Scaling Properties More
  319.    wt: 1:   A Straight Line Slope Scaling Properties
  320.    wt: 1:   14 Straight Lines Equations General Case
  321.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  322.    wt: 1:   11 Straight Lines Graphing y=mx
  323.    wt: 1:   10 Straight Lines through Origin Equations More
  324.    wt: 1:   9 Straight Lines through Origin Equations
  325.    wt: 1:   8 Straight Lines Equation for vertical
  326.    wt: 1:   7 Tangent Function is odd on this domain
  327.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  328.    wt: 1:   5 Tangent Function Graph
  329.    wt: 1:   4 Tangent Function Properties
  330.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  331.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  332.    wt: 1:   1 Straight Lines Slope Concept
  333.    wt: 1:   17 tangent function angle sum formulas
  334.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  335.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  336.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  337.    wt: 1:   32 seven rows of pascals triangle
  338.    wt: 1:   31 basic secant cosecant cotangent trig identities
  339.    wt: 1:   20 sine and cosine Double Angle Formulas
  340.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  341.    wt: 1:   18 sum of sinusoidal waves as a single wave
  342.    wt: 1:   16 Right Triangle Complementary Angle Relations
  343.    wt: 1:   14 cosine even and sine and tangent are odd
  344.    wt: 1:   13 Graph of tangent function many periods
  345.    wt: 1:   11 tangent function undefined when terminal side vertical
  346.    wt: 1:   10 Graphs of sines and cosines many periods
  347.    wt: 1:   9 Graphs of sine and cosine over one period
  348.    wt: 1:   8 period of tangent function
  349.    wt: 1:   7 period of sine and cosine
  350.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  351.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  352.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  353.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  354.    wt: 1:   2 Quadrant I reference Angles
  355.    wt: 1:   1 Unit Points Reflections Rotations
  356.    wt: 1:   Unit Circle Development of Trigonometry
  357.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  358.    wt: 1:   21 Logarithms Powers and Exponentials
  359.    wt: 1:   20 N th Roots of Complex Numbers
  360.    wt: 1:   19 N th Roots of Unity
  361.    wt: 1:   18 Sixth Roots of Unity
  362.    wt: 1:   17 Cube Roots of unity
  363.    wt: 1:   16 References and Originality Question
  364.    wt: 1:   14 Law of cosines
  365.    wt: 1:   13 Trig Formulas for dot and cross Products
  366.    wt: 1:   11 sine and cosine double triple angle formulas
  367.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  368.    wt: 1:   9 The complex number valued trig function cis
  369.    wt: 1:   8 Unit Circle Development of Trigonometry
  370.    wt: 1:   6 Field Properties of Complex Number
  371.    wt: 1:   5 An Easy Proof of the Distributive Law
  372.    wt: 1:   4 Multiplication Properties
  373.    wt: 1:   3 Addition Properties
  374.    wt: 1:   2 Complex Numbers made easier we hope
  375.    wt: 1:   1 Rectangular Polar Coordinates Review
  376.    wt: 1:   Appetizer A Complex Number Applet
  377.    wt: 1:   8 Triangles Cascade Problem Solving
  378.    wt: 1:   7 Trignometric Ratios Unit Circle
  379.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  380.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  381.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  382.    wt: 1:   3 Trigonometric Ratios sine and cosine
  383.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  384.    wt: 1:   1 Angle Measurement with Degrees
  385.    wt: 1:   Why Trigonometry the whyslopes view
  386.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  387.    wt: 1:   11 Triangle Similarity Missing Side Problem
  388.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  389.    wt: 1:   9 Similarity of Triangles Usual Criteria
  390.    wt: 1:   8 Similarity of Triangles and Polygons
  391.    wt: 1:   6 Geometric Diagrams in Class
  392.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  393.    wt: 1:   3 Similarity by Design with coordinates
  394.    wt: 1:   2 Similarity By Design
  395.    wt: 1:   1 Early Concept of Like or Similar Shapes
  396.    wt: 1:   Four Simple Exercises
  397.    wt: 1:   11 A Partial Summary
  398.    wt: 1:   10 Midpoint of [a b] and [b a]
  399.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  400.    wt: 1:   8 Mid Point Formula
  401.    wt: 1:   6 Intersection of lines by solving linear systems
  402.    wt: 1:   5 Algebraic View of Slopes
  403.    wt: 1:   4 Equations for lines three forms
  404.    wt: 1:   3 Slope product for perpendicular lines
  405.    wt: 1:   2 point slope equation for a line
  406.    wt: 1:   1 Numerical view of lines and their equations
  407.    wt: 1:   What is and is not here
  408.    wt: 1:   13 Pythagorean spatial distance formulas
  409.    wt: 1:   11 Triangle Inequality
  410.    wt: 1:   10 Pythagorean plane distance formula
  411.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  412.    wt: 1:   8 Distance Between Points on a Line
  413.    wt: 1:   7 Complex Numbers Appetizer
  414.    wt: 1:   6 Polar Multiplication and Rotation
  415.    wt: 1:   5 Cartesian Addition and Translation
  416.    wt: 1:   3 Rectangular Coordinates Review
  417.    wt: 1:   2 Cartesian Coordinates with signs
  418.    wt: 1:   1 Cartesian Coordinates sans signs
  419.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  420.    wt: 1:   PS H Distributive Law For Complex Numbers
  421.    wt: 1:   PS G Rotation Distributes over Addition
  422.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  423.    wt: 1:   PS E Multiplication with Polar Coordinates
  424.    wt: 1:   PS D Addition with Cartesian Coordinates
  425.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  426.    wt: 1:   PS B Parallelogram Construction Methods
  427.    wt: 1:   PS A Kite Construction Methods
  428.    wt: 1:   21 Parallelograms
  429.    wt: 1:   19 Right Triangle Similarity
  430.    wt: 1:   18 Triangle Similarity Take 1
  431.    wt: 1:   16 Angles Subtended By Chords and Diameters
  432.    wt: 1:   14 Parallel Lines Postulate
  433.    wt: 1:   13 Angle Side Angle Failure
  434.    wt: 1:   11 Triangle Construction Fails
  435.    wt: 1:   8 Isoceles Triangles
  436.    wt: 1:   7 Angle Side Angle
  437.    wt: 1:   6 Ruler and compass Angle Bisection
  438.    wt: 1:   5 Side Angle Side
  439.    wt: 1:   4 Side Side Side
  440.    wt: 1:   3 Isometry of Triangles Congruence
  441.    wt: 1:   2 Correspondence between Triangles
  442.    wt: 1:   1 Initial Concepts and Terms
  443.    wt: 1:   Short Course on Euclidean Geometry
  444.    wt: 1:   A Measurement with Ruler Proper Use
  445.    wt: 1:   3 Lengths and Areas on Maps and Plans
  446.    wt: 1:   2 Measuring Area Directly
  447.    wt: 1:   1 Length Measurement
  448.    wt: 1:   About Folder Contents
  449.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  450.    wt: 1:   21 Addition of Multiples of a Single Vector
  451.    wt: 1:   19 Signed Multiples of Vectors
  452.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  453.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  454.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  455.    wt: 1:   13 Arrows and Vectors in a Plane
  456.    wt: 1:   12 Real Numbers Line Signed Coordinates
  457.    wt: 1:   15 Real Number Division
  458.    wt: 1:   12 Real Number Additive Inverses or Negatives
  459.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  460.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  461.    wt: 1:   4 A Brief Story of numbers and algebra
  462.    wt: 1:   3 Adding Words To Arithmetic
  463.    wt: 1:   2 Square Roots with Prime
  464.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  465.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  466.    wt: 1:   13 GCD from given Prime Factorization
  467.    wt: 1:   7 GCD and LCM from prime factorization
  468.    wt: 1:   12 GCD 2700 288 via Prime
  469.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  470.    wt: 1:   4 Counting with Trees Product Rule Take I
  471.    wt: 1:   3 Counting with Tables and Trees II
  472.    wt: 1:   2 Counting with Tables and Trees I
  473.    wt: 1:   1 Counting and Counting Methods I
  474.    wt: 1:   22 Complex Compound Fractions
  475.    wt: 1:   21 Working With Signs
  476.    wt: 1:   21 Reciprocals for Fractions and Wholes
  477.    wt: 1:   20 Dividing Fractions the Why
  478.    wt: 1:   18 Efficient Ways to Multiply
  479.    wt: 1:   17 Efficient Ways to Add and Subtract
  480.    wt: 1:   14 Adding and Subtracting with Like Denominators
  481.    wt: 1:   12 Fraction Comparison
  482.    wt: 1:   D Remainders Modulo 11 Pair Rule
  483.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  484.    wt: 1:   13 Subtraction with Additive Inverse
  485.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  486.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  487.    wt: 1:   11 Efficient Square Rule Use
  488.    wt: 1:   3 video Primes and Composites from 9 times table
  489.    wt: 1:   2 Prime and Composites less than 16
  490.    wt: 1:   Division with Counts and Length
  491.    wt: 1:   Long Division forwards and backwards Example 3
  492.    wt: 1:   Long Division forwards and backwards Example 2
  493.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  494.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  495.    wt: 1:   Video Power Notation in Decimal Expansion
  496.    wt: 1:   1 Why 3 times 5 gives 15
  497.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  498.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  499.    wt: 1:   8 What skills and work habits to require
  500.    wt: 1:   5. How to add decimals C. Examples
  501.    wt: 1:   4. How to add with decimals B with conversions
  502.    wt: 1:   3. How to add with decimals A sans conversions
  503.    wt: 1:   Quick history of numbers and algebra
  504.    wt: 1:   Formula Evaluation how to show work
  505.    wt: 1:   Expression Evaluation how to show work
  506.    wt: 1:   The 12 Times Table Visually
  507.    wt: 1:   015 School and work day counting tables
  508.    wt: 1:   012 Division of Time Intervals by Time Intervals
  509.    wt: 1:   8 Addition of Time Intervals via subtotaling
  510.    wt: 1:   1 Intro of Kids To Time Date Skills
  511.    wt: 1:   Example 2 volume of a cone
  512.    wt: 1:   Example 1 volume of a pyramid
  513.    wt: 1:   Volume of Solid by Cross Sections Lesson
  514.    wt: 1:   Example 1. Area Between x and x squared
  515.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  516.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  517.    wt: 1:   Example 4 with x function of y
  518.    wt: 1:   Example 3
  519.    wt: 1:   Example 2
  520.    wt: 1:   Example 1
  521.    wt: 1:   Area Between Curves Lesson Take 2
  522.    wt: 1:   Area Between Curves Lesson Take 1
  523.    wt: 1:   Summary
  524.    wt: 1:   20 Chain Rule for Pulley Systems
  525.    wt: 1:   15 sine and cosine derivatives 3rd step
  526.    wt: 1:   12 Quotient rule examples
  527.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  528.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  529.    wt: 1:   11 Limits at infinity Three Examples
  530.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  531.    wt: 1:   F.4 Finite Covering Theorem
  532.    wt: 1:   D2 Limits of Monotone Sequences
  533.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  534.    wt: 1:   Chapter 23 Links To Trigonometry
  535.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  536.    wt: 1:   Appendix D. What to do in School and Why
  537.    wt: 1:   Appendix C. How to Read
  538.    wt: 1:   Appendix B. How To Learn
  539.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  540.    wt: 1:   Postscript A Three Remarks
  541.    wt: 1:   Chapter 11 Elementary Instruction
  542.    wt: 1:   Chapter 10 Transition
  543.    wt: 1:   Chapter 9 The Two Ends
  544.    wt: 1:   Chapter 8 Modern Instruction
  545.    wt: 1:   Chapter 7 Two Treatments of Geometry
  546.    wt: 1:   Chapter 5 Four References
  547.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  548.    wt: 1:   Chapter 3 Algebra Difficulties
  549.    wt: 1:   Chapter 1 Introduction
  550.    wt: 1:   Foreword
  551.    wt: 1:   Postscript C Consistency as a Tool for Reason
  552.    wt: 1:   Postscript B More on Story Telling and Reason
  553.    wt: 1:   Postscript A Story Telling
  554.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  555.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  556.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  557.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  558.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  559.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  560.    wt: 1:   S Adding words to algebra
  561.    wt: 1:   R Why Learn Mathematics Skills
  562.    wt: 1:   N Mathematics Prepare for College Studies
  563.    wt: 1:   M Words to extend arithmetic
  564.    wt: 1:   L Skills with take home value
  565.    wt: 1:   H more Routine to non routine problem solving
  566.    wt: 1:   F. The student teacher tutor feedback loop
  567.    wt: 1:   E. When and how to correct errors
  568.    wt: 1:   How to Build Skills and Confidence
  569.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  570.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  571.    wt: 1:   Chapter 6 More Algebra and Geometry
  572.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  573.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  574.    wt: 1:   Chapter 3 Algebra Starter Lessons
  575.    wt: 1:   Chapter 2 Why Sets
  576.    wt: 1:   Chapter 1 Arithmetic
  577.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  578.    wt: 1:   7 Games and Activities for Instruction
  579.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  580.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  581.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  582.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  583.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  584.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  585.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  586.    wt: 1:   Implementation Notes
  587.    wt: 1:   More Algebra and Slope based Calculus Preview
  588.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  589.    wt: 1:   Systematic Algebra Skill Development Missing Links
  590.    wt: 1:   Mathematics Teacher Certification Best Practices

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 bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

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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