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 Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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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35 matches:

  1.    wt: 6:   Volume 1B Mathematics Curriculum Notes/
  2.    wt: 3:   14 Degrees to Radians and Radians to Degrees/
  3.    wt: 2:   13 Vectors/
  4.    wt: 1:   LAMP Lean Applied Mathematics Program/
  5.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  6.    wt: 1:   Mathematics Education Essays/
  7.    wt: 1:   Volume 1A Regles et modeles/
  8.    wt: 1:   Mathematics Skills Year by Year/
  9.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  10.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  11.    wt: 1:   12 Function Translating and Rescaling/
  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:   Advanced Calculus Volume 3 Appendices/
  28.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  29.    wt: 1:   Volume 2 Three Skills For Algebra/
  30.    wt: 1:   Volume 1A Pattern Based Reason/
  31.    wt: 1:   Volume 1 Elements of Reason/
  32.    wt: 1:   Mathematics 506 Lessons/
  33.    wt: 1:   Secondary Mathematics A Practical Approach/
  34.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  35.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

195 matches:

  1.    wt: 3:   13 From one to one to many to one
  2.    wt: 3:   8 Notes for instructors or tutors
  3.    wt: 2:   mathematics curriculum shifts
  4.    wt: 2:   04 29 New Mathematics Curriculum
  5.    wt: 2:   04 25 when to stop or suspend mathemat
  6.    wt: 2:   How to be a better instructor
  7.    wt: 2:   need for a mixed mathematics curriculum
  8.    wt: 2:   Leaner mathematics curriculum
  9.    wt: 2:   words for mathematics instructor
  10.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  11.    wt: 2:   12 From Applied To Pure Mathematics
  12.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  13.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  14.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  15.    wt: 2:   18 video Count Factors given Prime Factorization
  16.    wt: 2:   15 video Factors of 20 using Prime Factorization
  17.    wt: 2:   10 video Prime Factorization upto 23 squared
  18.    wt: 2:   9 video Prime Factorization upto 19 squared
  19.    wt: 2:   8 video Prime Factorization upto 19
  20.    wt: 2:   7 Calculator Usage Notes and Cautions
  21.    wt: 2:   Appendix E. How To Study Mathematics and Why
  22.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  23.    wt: 2:   A. Skill has to be seen to believed
  24.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  25.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  26.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  27.    wt: 1:   E LAMP Introduction Modern Mathematics
  28.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  29.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  30.    wt: 1:   11 pure mathematics
  31.    wt: 1:   9 combinatorics probability sets
  32.    wt: 1:   which way to go
  33.    wt: 1:   three goals to set for students
  34.    wt: 1:   key notes and themes
  35.    wt: 1:   Mathematics Education Professors
  36.    wt: 1:   grouping students according to ability
  37.    wt: 1:   mathematics in context
  38.    wt: 1:   Secondary Three Mathematics
  39.    wt: 1:   Secondary Two Mathematics
  40.    wt: 1:   Secondary One Mathematics
  41.    wt: 1:   What to Tell Students
  42.    wt: 1:   teaching tutoring algebraic reason
  43.    wt: 1:   three goals for Mathematics Education
  44.    wt: 1:   02 20 mathematics education references
  45.    wt: 1:   three aims for mathematics students
  46.    wt: 1:   Operational Viewpoint to Value
  47.    wt: 1:   mathematics instruction in general
  48.    wt: 1:   Education in mathematics science and technology
  49.    wt: 1:   three kinds of reason in mathematics
  50.    wt: 1:   Four ways to improve education reform
  51.    wt: 1:   chapitre 07 01 principle D induction mathematique
  52.    wt: 1:   3 Like resistors in parallel
  53.    wt: 1:   2 Unlike resistors in parallel01
  54.    wt: 1:   1 Like resistors in series
  55.    wt: 1:   F Unlike Resistors in Series
  56.    wt: 1:   Home Tutoring and Home Schooling
  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:   19 Extending the Oral Dimension of Mathematics
  62.    wt: 1:   18 Primary School Mathematics
  63.    wt: 1:   16 Secondary Mathematics Tips
  64.    wt: 1:   12 Goals and Objectives For Mathematics
  65.    wt: 1:   Ages 12 to 14 Skills with take home value
  66.    wt: 1:   Ages 12 to 14 Geometry
  67.    wt: 1:   Ages 12 to 14 Arithmetic
  68.    wt: 1:   Ages 10 to 12 Geometry
  69.    wt: 1:   Ages 10 to 12 Arithmetic
  70.    wt: 1:   Ages 9 to 10
  71.    wt: 1:   Ages 8 to 9
  72.    wt: 1:   Ages 7 to 8
  73.    wt: 1:   Ages 6 to 7
  74.    wt: 1:   Ages 4 plus to 5 plus
  75.    wt: 1:   Ages 3 plus to 4 plus
  76.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  77.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  78.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  79.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  80.    wt: 1:   4 Function notation in and beyond mathematics
  81.    wt: 1:   3 quadratics factoring by inspection
  82.    wt: 1:   5 Natural Logarithm Calculator Exercises
  83.    wt: 1:   1 Calculator Starter Exercises
  84.    wt: 1:   9 Summary Degrees to Radians and back
  85.    wt: 1:   6 Radian Measure to Degrees
  86.    wt: 1:   5 Degrees to Radian Measure
  87.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  88.    wt: 1:   13 Velocity Vectors in Physics
  89.    wt: 1:   9 Head to Tail Coordinate View
  90.    wt: 1:   8 Parallel Vectors
  91.    wt: 1:   6 Vectors with Coordinates
  92.    wt: 1:   5 Head To Tail Arrow Addition
  93.    wt: 1:   3 Navigation with Arrows or Vectors
  94.    wt: 1:   Vector and Complex Number Applet
  95.    wt: 1:   Triangle Angles Sum To 180 Degrees
  96.    wt: 1:   7 Second Way to Calculate Products
  97.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  98.    wt: 1:   7 Exercises to test skill and concept mastery
  99.    wt: 1:   4 Polar Coordinates to and from
  100.    wt: 1:   17 Right Bisectors of Triangle Sides
  101.    wt: 1:   10 Dropping a perpendicular to line
  102.    wt: 1:   9 Construction of a right bisector
  103.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  104.    wt: 1:   6 Figuring with Maps Not to Scale
  105.    wt: 1:   4 Angles on Maps Plans drawn to scale
  106.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  107.    wt: 1:   21 Addition of Multiples of a Single Vector
  108.    wt: 1:   19 Signed Multiples of Vectors
  109.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  110.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  111.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  112.    wt: 1:   15 Head to Tails in place Addition Associative
  113.    wt: 1:   13 Arrows and Vectors in a Plane
  114.    wt: 1:   Skill Development Notes
  115.    wt: 1:   11 Volume of Sphere
  116.    wt: 1:   10 Volume of Pyramid
  117.    wt: 1:   9 Volume of Cone
  118.    wt: 1:   5 Box Volume Formula Example
  119.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  120.    wt: 1:   4 A Brief Story of numbers and algebra
  121.    wt: 1:   3 Adding Words To Arithmetic
  122.    wt: 1:   13 GCD from given Prime Factorization
  123.    wt: 1:   7 GCD and LCM from prime factorization
  124.    wt: 1:   19 Dividing Fractions How TO
  125.    wt: 1:   18 Efficient Ways to Multiply
  126.    wt: 1:   17 Efficient Ways to Add and Subtract
  127.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  128.    wt: 1:   14 Adding and Subtracting with Like Denominators
  129.    wt: 1:   20 Uniqueness of Prime Factorization
  130.    wt: 1:   19 video Prime Factorization Unique
  131.    wt: 1:   17 Identify and Count Factors using Primes
  132.    wt: 1:   16 video Factors of 980 using prime
  133.    wt: 1:   14 video Factors of 24 Take II
  134.    wt: 1:   13 video Factors of 24 using prime
  135.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  136.    wt: 1:   5 Prime Factorization and a Square Rule
  137.    wt: 1:   4 video Prime Factorization Introduction
  138.    wt: 1:   1 video how Products are bigger than factor
  139.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  140.    wt: 1:   8 What skills and work habits to require
  141.    wt: 1:   5. How to add decimals C. Examples
  142.    wt: 1:   4. How to add with decimals B with conversions
  143.    wt: 1:   3. How to add with decimals A sans conversions
  144.    wt: 1:   Quick history of numbers and algebra
  145.    wt: 1:   Formula Evaluation how to show work
  146.    wt: 1:   Expression Evaluation how to show work
  147.    wt: 1:   8 Addition of Time Intervals via subtotaling
  148.    wt: 1:   1 Intro of Kids To Time Date Skills
  149.    wt: 1:   Example 2 volume of a cone
  150.    wt: 1:   Example 1 volume of a pyramid
  151.    wt: 1:   Volume of Solid by Cross Sections Lesson
  152.    wt: 1:   A Related Material in Volume 3
  153.    wt: 1:   A Related lessons in Volume 3
  154.    wt: 1:   D2 Limits of Monotone Sequences
  155.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  156.    wt: 1:   Chapter 23 Links To Trigonometry
  157.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  158.    wt: 1:   Appendix D. What to do in School and Why
  159.    wt: 1:   Appendix C. How to Read
  160.    wt: 1:   Appendix B. How To Learn
  161.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  162.    wt: 1:   Chapter 25. Mathematical Induction Examples
  163.    wt: 1:   Annotated Links to Material Elsehwere
  164.    wt: 1:   Postscript B Mathematics Education References
  165.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  166.    wt: 1:   Chapter 2 For and Against Mathematics
  167.    wt: 1:   Postscript C Consistency as a Tool for Reason
  168.    wt: 1:   Postscript B More on Story Telling and Reason
  169.    wt: 1:   Postscript A Story Telling
  170.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  171.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  172.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  173.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  174.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  175.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  176.    wt: 1:   S Adding words to algebra
  177.    wt: 1:   R Why Learn Mathematics Skills
  178.    wt: 1:   O On Learning Mathematics and Science
  179.    wt: 1:   N Mathematics Prepare for College Studies
  180.    wt: 1:   M Words to extend arithmetic
  181.    wt: 1:   H more Routine to non routine problem solving
  182.    wt: 1:   F. The student teacher tutor feedback loop
  183.    wt: 1:   E. When and how to correct errors
  184.    wt: 1:   How to Build Skills and Confidence
  185.    wt: 1:   Chapter 8 Skipped Topics and Why
  186.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  187.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  188.    wt: 1:   Helping the Blind in Logic and Mathematics
  189.    wt: 1:   Mathematics Education References
  190.    wt: 1:   Mathematics Education References
  191.    wt: 1:   Implementation Notes
  192.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  193.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  194.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  195.    wt: 1:   Which Way To Go

Extended Search

645 matches:

  1.    wt: 7:   Annotated Links to Material Elsehwere
  2.    wt: 7:   Postscript B Mathematics Education References
  3.    wt: 7:   Chapter 6 Rule Based Reason in Mathematics
  4.    wt: 7:   Chapter 2 For and Against Mathematics
  5.    wt: 6:   Postscript A Three Remarks
  6.    wt: 6:   Chapter 12 Four Phases
  7.    wt: 6:   Chapter 11 Elementary Instruction
  8.    wt: 6:   Chapter 10 Transition
  9.    wt: 6:   Chapter 9 The Two Ends
  10.    wt: 6:   Chapter 8 Modern Instruction
  11.    wt: 6:   Chapter 7 Two Treatments of Geometry
  12.    wt: 6:   Chapter 5 Four References
  13.    wt: 6:   Chapter 4 Complex Numbers and Why Slopes
  14.    wt: 6:   Chapter 3 Algebra Difficulties
  15.    wt: 6:   Chapter 1 Introduction
  16.    wt: 6:   Foreword
  17.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  18.    wt: 4:   9 Summary Degrees to Radians and back
  19.    wt: 4:   6 Radian Measure to Degrees
  20.    wt: 4:   5 Degrees to Radian Measure
  21.    wt: 4:   3 Circle Arclengh Proportional to Central Angle
  22.    wt: 4:   12 From Applied To Pure Mathematics
  23.    wt: 3:   mathematics curriculum shifts
  24.    wt: 3:   04 29 New Mathematics Curriculum
  25.    wt: 3:   04 25 when to stop or suspend mathemat
  26.    wt: 3:   How to be a better instructor
  27.    wt: 3:   need for a mixed mathematics curriculum
  28.    wt: 3:   Leaner mathematics curriculum
  29.    wt: 3:   words for mathematics instructor
  30.    wt: 3:   13 From one to one to many to one
  31.    wt: 3:   8 Notes for instructors or tutors
  32.    wt: 3:   8 Radian Measures of Common Angles
  33.    wt: 3:   7 Radian Measures in special Triangles
  34.    wt: 3:   2 Radian Measure Numerical Value of one degree
  35.    wt: 3:   1 Degrees and Radians Introduction
  36.    wt: 3:   13 Velocity Vectors in Physics
  37.    wt: 3:   9 Head to Tail Coordinate View
  38.    wt: 3:   8 Parallel Vectors
  39.    wt: 3:   6 Vectors with Coordinates
  40.    wt: 3:   5 Head To Tail Arrow Addition
  41.    wt: 3:   3 Navigation with Arrows or Vectors
  42.    wt: 3:   Vector and Complex Number Applet
  43.    wt: 3:   5 Drawing to Scale Avoids Angle Distortions
  44.    wt: 3:   18 video Count Factors given Prime Factorization
  45.    wt: 3:   15 video Factors of 20 using Prime Factorization
  46.    wt: 3:   10 video Prime Factorization upto 23 squared
  47.    wt: 3:   9 video Prime Factorization upto 19 squared
  48.    wt: 3:   8 video Prime Factorization upto 19
  49.    wt: 3:   7 Calculator Usage Notes and Cautions
  50.    wt: 3:   Appendix E. How To Study Mathematics and Why
  51.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  52.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  53.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  54.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  55.    wt: 2:   E LAMP Introduction Modern Mathematics
  56.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  57.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  58.    wt: 2:   11 pure mathematics
  59.    wt: 2:   9 combinatorics probability sets
  60.    wt: 2:   which way to go
  61.    wt: 2:   three goals to set for students
  62.    wt: 2:   key notes and themes
  63.    wt: 2:   Mathematics Education Professors
  64.    wt: 2:   grouping students according to ability
  65.    wt: 2:   mathematics in context
  66.    wt: 2:   Secondary Three Mathematics
  67.    wt: 2:   Secondary Two Mathematics
  68.    wt: 2:   Secondary One Mathematics
  69.    wt: 2:   What to Tell Students
  70.    wt: 2:   teaching tutoring algebraic reason
  71.    wt: 2:   three goals for Mathematics Education
  72.    wt: 2:   02 20 mathematics education references
  73.    wt: 2:   three aims for mathematics students
  74.    wt: 2:   Operational Viewpoint to Value
  75.    wt: 2:   mathematics instruction in general
  76.    wt: 2:   Education in mathematics science and technology
  77.    wt: 2:   three kinds of reason in mathematics
  78.    wt: 2:   Four ways to improve education reform
  79.    wt: 2:   chapitre 07 01 principle D induction mathematique
  80.    wt: 2:   Ages 12 to 14 Skills with take home value
  81.    wt: 2:   Ages 12 to 14 Geometry
  82.    wt: 2:   Ages 12 to 14 Arithmetic
  83.    wt: 2:   Ages 10 to 12 Geometry
  84.    wt: 2:   Ages 10 to 12 Arithmetic
  85.    wt: 2:   Ages 9 to 10
  86.    wt: 2:   Ages 8 to 9
  87.    wt: 2:   Ages 7 to 8
  88.    wt: 2:   Ages 6 to 7
  89.    wt: 2:   Ages 4 plus to 5 plus
  90.    wt: 2:   Ages 3 plus to 4 plus
  91.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  92.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  93.    wt: 2:   A Global Time and Navigation
  94.    wt: 2:   15 Dot and Cross Product
  95.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  96.    wt: 2:   11 Component Method
  97.    wt: 2:   10 Parallelogram Addition Method
  98.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  99.    wt: 2:   4 Resultant of a Sum of Movements
  100.    wt: 2:   2 Signed Coordinates
  101.    wt: 2:   1 Unsigned Coordinates
  102.    wt: 2:   Triangle Angles Sum To 180 Degrees
  103.    wt: 2:   7 Second Way to Calculate Products
  104.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  105.    wt: 2:   7 Exercises to test skill and concept mastery
  106.    wt: 2:   4 Polar Coordinates to and from
  107.    wt: 2:   17 Right Bisectors of Triangle Sides
  108.    wt: 2:   10 Dropping a perpendicular to line
  109.    wt: 2:   9 Construction of a right bisector
  110.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  111.    wt: 2:   6 Figuring with Maps Not to Scale
  112.    wt: 2:   4 Angles on Maps Plans drawn to scale
  113.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  114.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  115.    wt: 2:   20 Uniqueness of Prime Factorization
  116.    wt: 2:   19 video Prime Factorization Unique
  117.    wt: 2:   17 Identify and Count Factors using Primes
  118.    wt: 2:   16 video Factors of 980 using prime
  119.    wt: 2:   14 video Factors of 24 Take II
  120.    wt: 2:   13 video Factors of 24 using prime
  121.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  122.    wt: 2:   5 Prime Factorization and a Square Rule
  123.    wt: 2:   4 video Prime Factorization Introduction
  124.    wt: 2:   1 video how Products are bigger than factor
  125.    wt: 2:   Example 2 volume of a cone
  126.    wt: 2:   Example 1 volume of a pyramid
  127.    wt: 2:   Volume of Solid by Cross Sections Lesson
  128.    wt: 2:   D2 Limits of Monotone Sequences
  129.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  130.    wt: 2:   Chapter 23 Links To Trigonometry
  131.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  132.    wt: 2:   Appendix D. What to do in School and Why
  133.    wt: 2:   Appendix C. How to Read
  134.    wt: 2:   Appendix B. How To Learn
  135.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  136.    wt: 2:   Chapter 25. Mathematical Induction Examples
  137.    wt: 2:   Postscript C Consistency as a Tool for Reason
  138.    wt: 2:   Postscript B More on Story Telling and Reason
  139.    wt: 2:   Postscript A Story Telling
  140.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  141.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  142.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  143.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  144.    wt: 2:   A. Skill has to be seen to believed
  145.    wt: 2:   Chapter 8 Skipped Topics and Why
  146.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  147.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  148.    wt: 2:   Helping the Blind in Logic and Mathematics
  149.    wt: 2:   Mathematics Education References
  150.    wt: 2:   Mathematics Education References
  151.    wt: 2:   Implementation Notes
  152.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  153.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  154.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  155.    wt: 2:   Which Way To Go
  156.    wt: 1:   Appendix 2 primary school Arithmetic 01
  157.    wt: 1:   Appendix 1 primary and preschool mathematic
  158.    wt: 1:   K LAMP Musings Science Education
  159.    wt: 1:   J LAMP Introduction Extrinsic Origins
  160.    wt: 1:   I LAMP Introduction Study Habits
  161.    wt: 1:   H LAMP Introduction Instructional Concepts
  162.    wt: 1:   G LAMP Introduction Problem Solving Skills
  163.    wt: 1:   F LAMP Introduction Prerequisites
  164.    wt: 1:   A Introduction Objectives
  165.    wt: 1:   Skills Chapter 5 Calculus
  166.    wt: 1:   Skills Chapter 4 Logic
  167.    wt: 1:   Ramblings Extrinsic numbers theory
  168.    wt: 1:   Ramblings Introduction Algebra Essay
  169.    wt: 1:   Skills Chapter 3 Algebra
  170.    wt: 1:   Skills Chapter 2 Geometry
  171.    wt: 1:   Skills Chapter 1 Arithmetic
  172.    wt: 1:   Skills Chapter 0 Introduction
  173.    wt: 1:   10 statistics
  174.    wt: 1:   8 analytic geometry etc
  175.    wt: 1:   7 logic review and decimals an odd combination
  176.    wt: 1:   6 polynomials etc
  177.    wt: 1:   5 logarithms and exponentials etc
  178.    wt: 1:   4 algebra
  179.    wt: 1:   3 Euclidean Geometry Leanly
  180.    wt: 1:   2 arithmetic with signed numbers
  181.    wt: 1:   1 arithmetic with unsigned numbers
  182.    wt: 1:   What is POMME
  183.    wt: 1:   why bother
  184.    wt: 1:   website reviews
  185.    wt: 1:   Teach the teachers plus goals
  186.    wt: 1:   permissions for teachers
  187.    wt: 1:   Math Ed if it must be short make it lean effective
  188.    wt: 1:   Applied Maths Program14092009 POMME variant
  189.    wt: 1:   activities for students
  190.    wt: 1:   links Education Resources online
  191.    wt: 1:   site origins
  192.    wt: 1:   site eurekas
  193.    wt: 1:   About site lesson plans
  194.    wt: 1:   teacher certification
  195.    wt: 1:   modern education
  196.    wt: 1:   learning takes time
  197.    wt: 1:   what should be learnt and When
  198.    wt: 1:   Postscript 2007 01 10
  199.    wt: 1:   Education Reform Inconsistencies
  200.    wt: 1:   five decades make a difference
  201.    wt: 1:   Maps Plans Drawings
  202.    wt: 1:   how letters appear
  203.    wt: 1:   talk the algebra talk
  204.    wt: 1:   three difficulties
  205.    wt: 1:   teaching tips
  206.    wt: 1:   geometric implications for algebra
  207.    wt: 1:   Lessening Algebra Difficulties
  208.    wt: 1:   the trouble with algebra
  209.    wt: 1:   05 13 OldSiteEntrancePage
  210.    wt: 1:   02 21 words for teachers
  211.    wt: 1:   standards for course material
  212.    wt: 1:   formal or informal peer review
  213.    wt: 1:   Theory of Knowledge
  214.    wt: 1:   Different Kinds of Reasoning in maths
  215.    wt: 1:   cultivating intelligence
  216.    wt: 1:   Motivation and Context Problem
  217.    wt: 1:   Prequel In For A Penny In For A Pound
  218.    wt: 1:   education an empirical art
  219.    wt: 1:   fairness and inductive principles for instruction
  220.    wt: 1:   chapitre 12 00 les iles et division
  221.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  222.    wt: 1:   chapitre 06 00 Chaines de la raison
  223.    wt: 1:   chapitre 05 00 Deception
  224.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  225.    wt: 1:   chapitre 04 09 Regles accidentelles
  226.    wt: 1:   chapitre 04 08 Limitations et benefices
  227.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  228.    wt: 1:   chapitre 04 06 engagements
  229.    wt: 1:   chapitre 04 05 Implication versus suggestion
  230.    wt: 1:   chapitre 04 04 Parlons de la logique
  231.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  232.    wt: 1:   chapitre 04 02 Deuxieme enigme
  233.    wt: 1:   chapitre 04 01 Premiere enigme
  234.    wt: 1:   chapitre 04 00 Les regles d implication
  235.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  236.    wt: 1:   chapitre 02 00 La Communication des idees
  237.    wt: 1:   chapitre 01 00 Introduction
  238.    wt: 1:   3 Like resistors in parallel
  239.    wt: 1:   2 Unlike resistors in parallel01
  240.    wt: 1:   1 Like resistors in series
  241.    wt: 1:   F Unlike Resistors in Series
  242.    wt: 1:   Home Tutoring and Home Schooling
  243.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  244.    wt: 1:   22 Student Centered Highschool Mathematics
  245.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  246.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  247.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  248.    wt: 1:   18 Primary School Mathematics
  249.    wt: 1:   16 Secondary Mathematics Tips
  250.    wt: 1:   12 Goals and Objectives For Mathematics
  251.    wt: 1:   sign monoticity analysis example 4
  252.    wt: 1:   sign monoticity analysis example 3
  253.    wt: 1:   sign monoticity analysis example 2
  254.    wt: 1:   sign monoticity analysis example 1
  255.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  256.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  257.    wt: 1:   4 Function notation in and beyond mathematics
  258.    wt: 1:   3 quadratics factoring by inspection
  259.    wt: 1:   5 Natural Logarithm Calculator Exercises
  260.    wt: 1:   1 Calculator Starter Exercises
  261.    wt: 1:   16 cotangent function Definition Graph and Inverse
  262.    wt: 1:   15 cosecant function Definition Graph and Inverse
  263.    wt: 1:   14 secant function Definition Graph and Inverse
  264.    wt: 1:   13 cosecant function Definition Graph and Inverse
  265.    wt: 1:   12 motivation for term arctan
  266.    wt: 1:   11 arctan left inverse of tangent Graph
  267.    wt: 1:   10 arctan left inverse of tangent Definition
  268.    wt: 1:   9 motivation for name arcsin
  269.    wt: 1:   8 arcsin left inverse of sine Graph
  270.    wt: 1:   7 arcsin left inverse of sine Definition
  271.    wt: 1:   6 Graph of arccos function
  272.    wt: 1:   5 Swapping Coordinates is a reflection
  273.    wt: 1:   4 possible motivation for term arccos
  274.    wt: 1:   3 Left Inverse of cosine arccos definition
  275.    wt: 1:   2 cosine function more properties
  276.    wt: 1:   1 cosine function properties
  277.    wt: 1:   4 graphing y=Asin(x c)
  278.    wt: 1:   3 graphing y=f(x c) plus K
  279.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  280.    wt: 1:   1 graphing y=f(x a)
  281.    wt: 1:   Parallel Lines and Parallel Transversals
  282.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  283.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  284.    wt: 1:   Parallel Lines and Interior Angles
  285.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  286.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  287.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  288.    wt: 1:   Straight Lines ASA Intersection Study More
  289.    wt: 1:   Straight Lines ASA Intersection Study
  290.    wt: 1:   Straight Lines Instersection Solving Equations
  291.    wt: 1:   Straight Lines Intersection of
  292.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  293.    wt: 1:   C Straight Lines Slope from Coordinates
  294.    wt: 1:   B Straight Line Slope Scaling Properties More
  295.    wt: 1:   A Straight Line Slope Scaling Properties
  296.    wt: 1:   14 Straight Lines Equations General Case
  297.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  298.    wt: 1:   12 Straight Lines Graphing mx plus b
  299.    wt: 1:   11 Straight Lines Graphing y=mx
  300.    wt: 1:   10 Straight Lines through Origin Equations More
  301.    wt: 1:   9 Straight Lines through Origin Equations
  302.    wt: 1:   8 Straight Lines Equation for vertical
  303.    wt: 1:   7 Tangent Function is odd on this domain
  304.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  305.    wt: 1:   5 Tangent Function Graph
  306.    wt: 1:   4 Tangent Function Properties
  307.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  308.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  309.    wt: 1:   1 Straight Lines Slope Concept
  310.    wt: 1:   17 tangent function angle sum formulas
  311.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  312.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  313.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  314.    wt: 1:   32 seven rows of pascals triangle
  315.    wt: 1:   31 basic secant cosecant cotangent trig identities
  316.    wt: 1:   30 unit circle calculation of six trigonometric functions
  317.    wt: 1:   29 secant cosecant and cotangent for acute angles
  318.    wt: 1:   28 Expressing products of sines cosines as sums
  319.    wt: 1:   27 Logarithmic use of products of sines and cosines
  320.    wt: 1:   26 Formulas for products of sines and cosines
  321.    wt: 1:   25 tangent double angle formula Slope connection
  322.    wt: 1:   24 tangent Angle Difference Formula
  323.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  324.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  325.    wt: 1:   21 sine and cosine Half Angle Formulas
  326.    wt: 1:   20 sine and cosine Double Angle Formulas
  327.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  328.    wt: 1:   18 sum of sinusoidal waves as a single wave
  329.    wt: 1:   17G Pythagorean Theorem Converse
  330.    wt: 1:   17F Law of cosines
  331.    wt: 1:   17E Trig Formulas for dot and cross Products
  332.    wt: 1:   17D cis formulas for sine cosines and tangent
  333.    wt: 1:   17C sine and cosine double triple angle formulas
  334.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  335.    wt: 1:   17A The complex number valued trig function cis
  336.    wt: 1:   16 Right Triangle Complementary Angle Relations
  337.    wt: 1:   15 sine cosine Complementary Angle Relations
  338.    wt: 1:   14 cosine even and sine and tangent are odd
  339.    wt: 1:   13 Graph of tangent function many periods
  340.    wt: 1:   12 Graph of tangent function for one period
  341.    wt: 1:   11 tangent function undefined when terminal side vertical
  342.    wt: 1:   10 Graphs of sines and cosines many periods
  343.    wt: 1:   9 Graphs of sine and cosine over one period
  344.    wt: 1:   8 period of tangent function
  345.    wt: 1:   7 period of sine and cosine
  346.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  347.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  348.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  349.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  350.    wt: 1:   2 Quadrant I reference Angles
  351.    wt: 1:   1 Unit Points Reflections Rotations
  352.    wt: 1:   Unit Circle Development of Trigonometry
  353.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  354.    wt: 1:   21 Logarithms Powers and Exponentials
  355.    wt: 1:   20 N th Roots of Complex Numbers
  356.    wt: 1:   19 N th Roots of Unity
  357.    wt: 1:   18 Sixth Roots of Unity
  358.    wt: 1:   17 Cube Roots of unity
  359.    wt: 1:   16 References and Originality Question
  360.    wt: 1:   15 Pythagorean Theorem Converse
  361.    wt: 1:   14 Law of cosines
  362.    wt: 1:   13 Trig Formulas for dot and cross Products
  363.    wt: 1:   12 cis formulas for sine cosines and tangent
  364.    wt: 1:   11 sine and cosine double triple angle formulas
  365.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  366.    wt: 1:   9 The complex number valued trig function cis
  367.    wt: 1:   8 Unit Circle Development of Trigonometry
  368.    wt: 1:   6 Field Properties of Complex Number
  369.    wt: 1:   5 An Easy Proof of the Distributive Law
  370.    wt: 1:   4 Multiplication Properties
  371.    wt: 1:   3 Addition Properties
  372.    wt: 1:   2 Complex Numbers made easier we hope
  373.    wt: 1:   1 Rectangular Polar Coordinates Review
  374.    wt: 1:   Appetizer A Complex Number Applet
  375.    wt: 1:   8 Triangles Cascade Problem Solving
  376.    wt: 1:   7 Trignometric Ratios Unit Circle
  377.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  378.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  379.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  380.    wt: 1:   3 Trigonometric Ratios sine and cosine
  381.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  382.    wt: 1:   1 Angle Measurement with Degrees
  383.    wt: 1:   Why Trigonometry the whyslopes view
  384.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  385.    wt: 1:   12 Triangles Similarity More Problems
  386.    wt: 1:   11 Triangle Similarity Missing Side Problem
  387.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  388.    wt: 1:   9 Similarity of Triangles Usual Criteria
  389.    wt: 1:   8 Similarity of Triangles and Polygons
  390.    wt: 1:   7 Translations Rotations Reflections Dilatations
  391.    wt: 1:   6 Geometric Diagrams in Class
  392.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  393.    wt: 1:   4 Similarity Definition with Coordinate
  394.    wt: 1:   3 Similarity by Design with coordinates
  395.    wt: 1:   2 Similarity By Design
  396.    wt: 1:   1 Early Concept of Like or Similar Shapes
  397.    wt: 1:   Four Simple Exercises
  398.    wt: 1:   12 Links Lessons elsewhere
  399.    wt: 1:   11 A Partial Summary
  400.    wt: 1:   10 Midpoint of [a b] and [b a]
  401.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  402.    wt: 1:   8 Mid Point Formula
  403.    wt: 1:   6 Intersection of lines by solving linear systems
  404.    wt: 1:   5 Algebraic View of Slopes
  405.    wt: 1:   4 Equations for lines three forms
  406.    wt: 1:   3 Slope product for perpendicular lines
  407.    wt: 1:   2 point slope equation for a line
  408.    wt: 1:   1 Numerical view of lines and their equations
  409.    wt: 1:   What is and is not here
  410.    wt: 1:   13 Pythagorean spatial distance formulas
  411.    wt: 1:   12 Spatial Coordinates
  412.    wt: 1:   11 Triangle Inequality
  413.    wt: 1:   10 Pythagorean plane distance formula
  414.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  415.    wt: 1:   8 Distance Between Points on a Line
  416.    wt: 1:   7 Complex Numbers Appetizer
  417.    wt: 1:   6 Polar Multiplication and Rotation
  418.    wt: 1:   5 Cartesian Addition and Translation
  419.    wt: 1:   3 Rectangular Coordinates Review
  420.    wt: 1:   2 Cartesian Coordinates with signs
  421.    wt: 1:   1 Cartesian Coordinates sans signs
  422.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  423.    wt: 1:   PS H Distributive Law For Complex Numbers
  424.    wt: 1:   PS G Rotation Distributes over Addition
  425.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  426.    wt: 1:   PS E Multiplication with Polar Coordinates
  427.    wt: 1:   PS D Addition with Cartesian Coordinates
  428.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  429.    wt: 1:   PS B Parallelogram Construction Methods
  430.    wt: 1:   PS A Kite Construction Methods
  431.    wt: 1:   21 Parallelograms
  432.    wt: 1:   19 Right Triangle Similarity
  433.    wt: 1:   18 Triangle Similarity Take 1
  434.    wt: 1:   16 Angles Subtended By Chords and Diameters
  435.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  436.    wt: 1:   14 Parallel Lines Postulate
  437.    wt: 1:   13 Angle Side Angle Failure
  438.    wt: 1:   12 Side Angle Side Failure
  439.    wt: 1:   11 Triangle Construction Fails
  440.    wt: 1:   8 Isoceles Triangles
  441.    wt: 1:   7 Angle Side Angle
  442.    wt: 1:   6 Ruler and compass Angle Bisection
  443.    wt: 1:   5 Side Angle Side
  444.    wt: 1:   4 Side Side Side
  445.    wt: 1:   3 Isometry of Triangles Congruence
  446.    wt: 1:   2 Correspondence between Triangles
  447.    wt: 1:   1 Initial Concepts and Terms
  448.    wt: 1:   Short Course on Euclidean Geometry
  449.    wt: 1:   A Measurement with Ruler Proper Use
  450.    wt: 1:   3 Lengths and Areas on Maps and Plans
  451.    wt: 1:   2 Measuring Area Directly
  452.    wt: 1:   1 Length Measurement
  453.    wt: 1:   About Folder Contents
  454.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  455.    wt: 1:   21 Addition of Multiples of a Single Vector
  456.    wt: 1:   19 Signed Multiples of Vectors
  457.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  458.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  459.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  460.    wt: 1:   15 Head to Tails in place Addition Associative
  461.    wt: 1:   13 Arrows and Vectors in a Plane
  462.    wt: 1:   Skill Development Notes
  463.    wt: 1:   11 Volume of Sphere
  464.    wt: 1:   10 Volume of Pyramid
  465.    wt: 1:   9 Volume of Cone
  466.    wt: 1:   5 Box Volume Formula Example
  467.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  468.    wt: 1:   4 A Brief Story of numbers and algebra
  469.    wt: 1:   3 Adding Words To Arithmetic
  470.    wt: 1:   13 GCD from given Prime Factorization
  471.    wt: 1:   7 GCD and LCM from prime factorization
  472.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  473.    wt: 1:   4 Counting with Trees Product Rule Take I
  474.    wt: 1:   3 Counting with Tables and Trees II
  475.    wt: 1:   2 Counting with Tables and Trees I
  476.    wt: 1:   1 Counting and Counting Methods I
  477.    wt: 1:   19 Dividing Fractions How TO
  478.    wt: 1:   18 Efficient Ways to Multiply
  479.    wt: 1:   17 Efficient Ways to Add and Subtract
  480.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  481.    wt: 1:   14 Adding and Subtracting with Like Denominators
  482.    wt: 1:   12 LCD GCD and LCM using Primes
  483.    wt: 1:   11 Efficient Square Rule Use
  484.    wt: 1:   3 video Primes and Composites from 9 times table
  485.    wt: 1:   2 Prime and Composites less than 16
  486.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  487.    wt: 1:   8 What skills and work habits to require
  488.    wt: 1:   5. How to add decimals C. Examples
  489.    wt: 1:   4. How to add with decimals B with conversions
  490.    wt: 1:   3. How to add with decimals A sans conversions
  491.    wt: 1:   Quick history of numbers and algebra
  492.    wt: 1:   Formula Evaluation how to show work
  493.    wt: 1:   Expression Evaluation how to show work
  494.    wt: 1:   8 Addition of Time Intervals via subtotaling
  495.    wt: 1:   1 Intro of Kids To Time Date Skills
  496.    wt: 1:   Example 1. Area Between x and x squared
  497.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  498.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  499.    wt: 1:   Example 4 with x function of y
  500.    wt: 1:   Example 3
  501.    wt: 1:   Example 2
  502.    wt: 1:   Example 1
  503.    wt: 1:   Area Between Curves Lesson Take 2
  504.    wt: 1:   Area Between Curves Lesson Take 1
  505.    wt: 1:   Summary
  506.    wt: 1:   A Related Material in Volume 3
  507.    wt: 1:   A Related lessons in Volume 3
  508.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  509.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  510.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  511.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  512.    wt: 1:   G.5 Motions With Bounded Velocities
  513.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  514.    wt: 1:   G.3 Constant Difference Theorem Proof
  515.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  516.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  517.    wt: 1:   F.5b Extreme Value Theorem
  518.    wt: 1:   F.5a Equicontinuity Theorems
  519.    wt: 1:   F.4 Finite Covering Theorem
  520.    wt: 1:   F.3 Intermediate Value Theorem
  521.    wt: 1:   F.2 Closed Range Theorem
  522.    wt: 1:   F.1 What Functions are Continuous
  523.    wt: 1:   E2 Algebraic Properties of Limits
  524.    wt: 1:   E1 Error Control Inequalities
  525.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  526.    wt: 1:   C Triangle Inequalities
  527.    wt: 1:   B3 Bolzano Weierstrass Theorem
  528.    wt: 1:   PostScript For and Against Decimal Perspectives
  529.    wt: 1:   A1. Introduction
  530.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  531.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  532.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  533.    wt: 1:   Chapter 22 Complex Numbers
  534.    wt: 1:   Chapter 21 Arrow Addition
  535.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  536.    wt: 1:   Chapter 18. Slopes Areas Integration
  537.    wt: 1:   Chapter 17. Area Approximation
  538.    wt: 1:   Chapter 16. Velocity Approximation
  539.    wt: 1:   Chapter 15. Slope Approximation
  540.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  541.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  542.    wt: 1:   Chapter 13. Acceleration
  543.    wt: 1:   Chapter 12. Units and Slopes
  544.    wt: 1:   Chapter 11. Graphing Slope versus Position
  545.    wt: 1:   Chapter 10 Slopes and Units
  546.    wt: 1:   Chapter 9 About First Courses in Calculus
  547.    wt: 1:   Chapter 8. Slope Interpretation
  548.    wt: 1:   Chapter 7 Slopes and Velocity
  549.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  550.    wt: 1:   Chapter 5. Slope Sign Tests
  551.    wt: 1:   Chapter 4. More Slope Sign Analysis
  552.    wt: 1:   Chapter 3. Slope Sign Analysis
  553.    wt: 1:   Chapter 2. Slopes and Ski Trails
  554.    wt: 1:   Chapter 1.Introduction
  555.    wt: 1:   Fall 1983 Calculus Appetizer
  556.    wt: 1:   Foreword
  557.    wt: 1:   Postscript More on Better Performance
  558.    wt: 1:   Postscript For Better Performance
  559.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  560.    wt: 1:   Chapter 31 Direct and Indirect Reason
  561.    wt: 1:   Chapter 30 Truth Tables
  562.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  563.    wt: 1:   Chapter 28 Occurrence Tables
  564.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  565.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  566.    wt: 1:   Chapter 23. Notation For Sums
  567.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  568.    wt: 1:   Chapter 21. Third Reading Guide
  569.    wt: 1:   Chapter 20. Degrees and Radians
  570.    wt: 1:   Chapter 19. Functions and Sets
  571.    wt: 1:   Chapter 18. Rules for Algebra
  572.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  573.    wt: 1:   Chapter 16. Painless Theorem Proving
  574.    wt: 1:   Chapter 15. Solving Linear Equations
  575.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  576.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  577.    wt: 1:   Chapter 13. Second Reading Guide
  578.    wt: 1:   Chapter 12. Shorthand Usage Guide
  579.    wt: 1:   Chapter 11. Why Shorthand
  580.    wt: 1:   Chapter 10 Describing and Changing Calculations
  581.    wt: 1:   Postscript What is a Variable
  582.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  583.    wt: 1:   Chapter 8 Three Skills For Algebra
  584.    wt: 1:   Solutions For Arithmetic Exercises
  585.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  586.    wt: 1:   Chapter 6 Change of Language
  587.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  588.    wt: 1:   Chapter 4 Longer Chains of Reason
  589.    wt: 1:   Chapter 3 Chains of Reason
  590.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  591.    wt: 1:   Foreword
  592.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  593.    wt: 1:   Chapter 24 Direct and Indirect Reason
  594.    wt: 1:   Chapter 23 Truth Tables
  595.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  596.    wt: 1:   Chapter 21 Occurrence Tables
  597.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  598.    wt: 1:   Chapter 18 Sense and Knowledge
  599.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  600.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  601.    wt: 1:   Chapter 15 Objective Processes
  602.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  603.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  604.    wt: 1:   Chapter 11 Accidental Patterns
  605.    wt: 1:   Chapter 10 Responsibility
  606.    wt: 1:   Chapter 8 Change of Language
  607.    wt: 1:   Chapter 7 Longer Chains of Reason
  608.    wt: 1:   Chapter 6 Chains of Reason
  609.    wt: 1:   Chapter 5 Deception
  610.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  611.    wt: 1:   Chapter 2 Skill Development
  612.    wt: 1:   Chapter 1 Introduction
  613.    wt: 1:   Three Remarks
  614.    wt: 1:   Foreword
  615.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  616.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  617.    wt: 1:   S Adding words to algebra
  618.    wt: 1:   R Why Learn Mathematics Skills
  619.    wt: 1:   O On Learning Mathematics and Science
  620.    wt: 1:   N Mathematics Prepare for College Studies
  621.    wt: 1:   M Words to extend arithmetic
  622.    wt: 1:   H more Routine to non routine problem solving
  623.    wt: 1:   F. The student teacher tutor feedback loop
  624.    wt: 1:   E. When and how to correct errors
  625.    wt: 1:   How to Build Skills and Confidence
  626.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  627.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  628.    wt: 1:   Chapter 6 More Algebra and Geometry
  629.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  630.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  631.    wt: 1:   Chapter 3 Algebra Starter Lessons
  632.    wt: 1:   Chapter 2 Why Sets
  633.    wt: 1:   Chapter 1 Arithmetic
  634.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  635.    wt: 1:   7 Games and Activities for Instruction
  636.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  637.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  638.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  639.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  640.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  641.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  642.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  643.    wt: 1:   More Algebra and Slope based Calculus Preview
  644.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  645.    wt: 1:   Systematic Algebra Skill Development Missing Links

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

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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