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

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

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

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

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

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

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

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31 matches:

  1.    wt: 4:   13 Vectors/
  2.    wt: 3:   14 Degrees to Radians and Radians to Degrees/
  3.    wt: 1:   LAMP Lean Applied Mathematics Program/
  4.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  5.    wt: 1:   Mathematics Education Essays/
  6.    wt: 1:   Volume 1A Regles et modeles/
  7.    wt: 1:   francais/
  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:   13 Lessons on Limits and Continuity/
  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

208 matches:

  1.    wt: 4:   13 From one to one to many to one
  2.    wt: 3:   04 25 when to stop or suspend mathemat
  3.    wt: 2:   How to be a better instructor
  4.    wt: 2:   words for mathematics instructor
  5.    wt: 2:   17 Math Booklets for children and young teenagers
  6.    wt: 2:   Ages 12 to 14 Skills with take home value
  7.    wt: 2:   Ages 12 to 14 Geometry
  8.    wt: 2:   Ages 12 to 14 Arithmetic
  9.    wt: 2:   Ages 10 to 12 Geometry
  10.    wt: 2:   Ages 10 to 12 Arithmetic
  11.    wt: 2:   Ages 9 to 10
  12.    wt: 2:   Ages 8 to 9
  13.    wt: 2:   Ages 7 to 8
  14.    wt: 2:   Ages 6 to 7
  15.    wt: 2:   Ages 4 plus to 5 plus
  16.    wt: 2:   Ages 3 plus to 4 plus
  17.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  18.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  19.    wt: 2:   8 Notes for instructors or tutors
  20.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  21.    wt: 2:   13 Velocity Vectors in Physics
  22.    wt: 2:   12 From Applied To Pure Mathematics
  23.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  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:   14 Vector Head to Tail Sums and Resultants
  27.    wt: 2:   13 Arrows and Vectors in a Plane
  28.    wt: 2:   13 GCD from given Prime Factorization
  29.    wt: 2:   18 video Count Factors given Prime Factorization
  30.    wt: 2:   15 video Factors of 20 using Prime Factorization
  31.    wt: 2:   13 video Factors of 24 using prime
  32.    wt: 2:   10 video Prime Factorization upto 23 squared
  33.    wt: 2:   9 video Prime Factorization upto 19 squared
  34.    wt: 2:   8 video Prime Factorization upto 19
  35.    wt: 2:   Appendix E. How To Study Mathematics and Why
  36.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  37.    wt: 2:   A. Skill has to be seen to believed
  38.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  39.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  40.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  41.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  42.    wt: 1:   Appendix 1 primary and preschool mathematic
  43.    wt: 1:   E LAMP Introduction Modern Mathematics
  44.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  45.    wt: 1:   11 pure mathematics
  46.    wt: 1:   9 combinatorics probability sets
  47.    wt: 1:   which way to go
  48.    wt: 1:   three goals to set for students
  49.    wt: 1:   Math Ed if it must be short make it lean effective
  50.    wt: 1:   Applied Maths Program14092009 POMME variant
  51.    wt: 1:   Mathematics Education Professors
  52.    wt: 1:   grouping students according to ability
  53.    wt: 1:   mathematics in context
  54.    wt: 1:   Secondary Three Mathematics
  55.    wt: 1:   Secondary Two Mathematics
  56.    wt: 1:   Secondary One Mathematics
  57.    wt: 1:   What to Tell Students
  58.    wt: 1:   mathematics curriculum shifts
  59.    wt: 1:   teaching tutoring algebraic reason
  60.    wt: 1:   three goals for Mathematics Education
  61.    wt: 1:   05 13 OldSiteEntrancePage
  62.    wt: 1:   04 29 New Mathematics Curriculum
  63.    wt: 1:   02 20 mathematics education references
  64.    wt: 1:   three aims for mathematics students
  65.    wt: 1:   Operational Viewpoint to Value
  66.    wt: 1:   mathematics instruction in general
  67.    wt: 1:   Education in mathematics science and technology
  68.    wt: 1:   Different Kinds of Reasoning in maths
  69.    wt: 1:   three kinds of reason in mathematics
  70.    wt: 1:   Four ways to improve education reform
  71.    wt: 1:   need for a mixed mathematics curriculum
  72.    wt: 1:   Leaner mathematics curriculum
  73.    wt: 1:   chapitre 07 01 principle D induction mathematique
  74.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  75.    wt: 1:   3 Like resistors in parallel
  76.    wt: 1:   2 Unlike resistors in parallel01
  77.    wt: 1:   1 Like resistors in series
  78.    wt: 1:   F Unlike Resistors in Series
  79.    wt: 1:   Home Tutoring and Home Schooling
  80.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  81.    wt: 1:   22 Student Centered Highschool Mathematics
  82.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  83.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  84.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  85.    wt: 1:   18 Primary School Mathematics
  86.    wt: 1:   16 Secondary Mathematics Tips
  87.    wt: 1:   13 Addition and Addition Tables
  88.    wt: 1:   12 Goals and Objectives For Mathematics
  89.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  90.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  91.    wt: 1:   4 Function notation in and beyond mathematics
  92.    wt: 1:   3 quadratics factoring by inspection
  93.    wt: 1:   5 Natural Logarithm Calculator Exercises
  94.    wt: 1:   1 Calculator Starter Exercises
  95.    wt: 1:   13 cosecant function Definition Graph and Inverse
  96.    wt: 1:   9 Summary Degrees to Radians and back
  97.    wt: 1:   6 Radian Measure to Degrees
  98.    wt: 1:   5 Degrees to Radian Measure
  99.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  100.    wt: 1:   9 Head to Tail Coordinate View
  101.    wt: 1:   8 Parallel Vectors
  102.    wt: 1:   6 Vectors with Coordinates
  103.    wt: 1:   5 Head To Tail Arrow Addition
  104.    wt: 1:   3 Navigation with Arrows or Vectors
  105.    wt: 1:   Vector and Complex Number Applet
  106.    wt: 1:   Triangle Angles Sum To 180 Degrees
  107.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  108.    wt: 1:   13 Graph of tangent function many periods
  109.    wt: 1:   13 Trig Formulas for dot and cross Products
  110.    wt: 1:   7 Second Way to Calculate Products
  111.    wt: 1:   7 Exercises to test skill and concept mastery
  112.    wt: 1:   13 Pythagorean spatial distance formulas
  113.    wt: 1:   4 Polar Coordinates to and from
  114.    wt: 1:   17 Right Bisectors of Triangle Sides
  115.    wt: 1:   13 Angle Side Angle Failure
  116.    wt: 1:   10 Dropping a perpendicular to line
  117.    wt: 1:   9 Construction of a right bisector
  118.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  119.    wt: 1:   6 Figuring with Maps Not to Scale
  120.    wt: 1:   4 Angles on Maps Plans drawn to scale
  121.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  122.    wt: 1:   21 Addition of Multiples of a Single Vector
  123.    wt: 1:   19 Signed Multiples of Vectors
  124.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  125.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  126.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  127.    wt: 1:   15 Head to Tails in place Addition Associative
  128.    wt: 1:   13 Real Number Subtraction
  129.    wt: 1:   13 Naming Identifying Formulas with Words
  130.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  131.    wt: 1:   4 A Brief Story of numbers and algebra
  132.    wt: 1:   3 Adding Words To Arithmetic
  133.    wt: 1:   7 GCD and LCM from prime factorization
  134.    wt: 1:   19 Dividing Fractions How TO
  135.    wt: 1:   18 Efficient Ways to Multiply
  136.    wt: 1:   17 Efficient Ways to Add and Subtract
  137.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  138.    wt: 1:   14 Adding and Subtracting with Like Denominators
  139.    wt: 1:   13 Fraction Comparison Algebraic View
  140.    wt: 1:   13 Subtraction with Additive Inverse
  141.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  142.    wt: 1:   20 Uniqueness of Prime Factorization
  143.    wt: 1:   19 video Prime Factorization Unique
  144.    wt: 1:   17 Identify and Count Factors using Primes
  145.    wt: 1:   16 video Factors of 980 using prime
  146.    wt: 1:   14 video Factors of 24 Take II
  147.    wt: 1:   7 Calculator Usage Notes and Cautions
  148.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  149.    wt: 1:   5 Prime Factorization and a Square Rule
  150.    wt: 1:   4 video Prime Factorization Introduction
  151.    wt: 1:   1 video how Products are bigger than factor
  152.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  153.    wt: 1:   8 What skills and work habits to require
  154.    wt: 1:   5. How to add decimals C. Examples
  155.    wt: 1:   4. How to add with decimals B with conversions
  156.    wt: 1:   3. How to add with decimals A sans conversions
  157.    wt: 1:   Quick history of numbers and algebra
  158.    wt: 1:   Formula Evaluation how to show work
  159.    wt: 1:   Expression Evaluation how to show work
  160.    wt: 1:   013 Travel Time Tables
  161.    wt: 1:   8 Addition of Time Intervals via subtotaling
  162.    wt: 1:   1 Intro of Kids To Time Date Skills
  163.    wt: 1:   13 sine and cosine derivatives 1st step
  164.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  165.    wt: 1:   D2 Limits of Monotone Sequences
  166.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  167.    wt: 1:   Chapter 23 Links To Trigonometry
  168.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  169.    wt: 1:   Chapter 13. Acceleration
  170.    wt: 1:   Appendix D. What to do in School and Why
  171.    wt: 1:   Appendix C. How to Read
  172.    wt: 1:   Appendix B. How To Learn
  173.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  174.    wt: 1:   Chapter 25. Mathematical Induction Examples
  175.    wt: 1:   Chapter 13. Second Reading Guide
  176.    wt: 1:   Annotated Links to Material Elsehwere
  177.    wt: 1:   Postscript B Mathematics Education References
  178.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  179.    wt: 1:   Chapter 2 For and Against Mathematics
  180.    wt: 1:   Postscript C Consistency as a Tool for Reason
  181.    wt: 1:   Postscript B More on Story Telling and Reason
  182.    wt: 1:   Postscript A Story Telling
  183.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  184.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  185.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  186.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  187.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  188.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  189.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  190.    wt: 1:   S Adding words to algebra
  191.    wt: 1:   R Why Learn Mathematics Skills
  192.    wt: 1:   O On Learning Mathematics and Science
  193.    wt: 1:   N Mathematics Prepare for College Studies
  194.    wt: 1:   M Words to extend arithmetic
  195.    wt: 1:   H more Routine to non routine problem solving
  196.    wt: 1:   F. The student teacher tutor feedback loop
  197.    wt: 1:   E. When and how to correct errors
  198.    wt: 1:   How to Build Skills and Confidence
  199.    wt: 1:   Chapter 8 Skipped Topics and Why
  200.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  201.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  202.    wt: 1:   Helping the Blind in Logic and Mathematics
  203.    wt: 1:   Mathematics Education References
  204.    wt: 1:   Mathematics Education References
  205.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  206.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  207.    wt: 1:   Which Way To Go
  208.    wt: 1:   The Math Forum and Site Content

Extended Search

556 matches:

  1.    wt: 7:   13 Velocity Vectors in Physics
  2.    wt: 6:   12 From Applied To Pure Mathematics
  3.    wt: 5:   13 From one to one to many to one
  4.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  5.    wt: 5:   9 Head to Tail Coordinate View
  6.    wt: 5:   8 Parallel Vectors
  7.    wt: 5:   6 Vectors with Coordinates
  8.    wt: 5:   5 Head To Tail Arrow Addition
  9.    wt: 5:   3 Navigation with Arrows or Vectors
  10.    wt: 5:   Vector and Complex Number Applet
  11.    wt: 4:   04 25 when to stop or suspend mathemat
  12.    wt: 4:   9 Summary Degrees to Radians and back
  13.    wt: 4:   6 Radian Measure to Degrees
  14.    wt: 4:   5 Degrees to Radian Measure
  15.    wt: 4:   3 Circle Arclengh Proportional to Central Angle
  16.    wt: 4:   A Global Time and Navigation
  17.    wt: 4:   15 Dot and Cross Product
  18.    wt: 4:   14 Why Scalar Multiplication Distributes Physical Argument
  19.    wt: 4:   11 Component Method
  20.    wt: 4:   10 Parallelogram Addition Method
  21.    wt: 4:   7 Coordinate Addition and Scalar Multiplication
  22.    wt: 4:   4 Resultant of a Sum of Movements
  23.    wt: 4:   2 Signed Coordinates
  24.    wt: 4:   1 Unsigned Coordinates
  25.    wt: 4:   13 Navigation Location from Angles to 2 Landmarks
  26.    wt: 4:   13 video Factors of 24 using prime
  27.    wt: 3:   How to be a better instructor
  28.    wt: 3:   words for mathematics instructor
  29.    wt: 3:   Ages 12 to 14 Skills with take home value
  30.    wt: 3:   Ages 12 to 14 Geometry
  31.    wt: 3:   Ages 12 to 14 Arithmetic
  32.    wt: 3:   Ages 10 to 12 Geometry
  33.    wt: 3:   Ages 10 to 12 Arithmetic
  34.    wt: 3:   Ages 9 to 10
  35.    wt: 3:   Ages 8 to 9
  36.    wt: 3:   Ages 7 to 8
  37.    wt: 3:   Ages 6 to 7
  38.    wt: 3:   Ages 4 plus to 5 plus
  39.    wt: 3:   Ages 3 plus to 4 plus
  40.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  41.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  42.    wt: 3:   8 Radian Measures of Common Angles
  43.    wt: 3:   7 Radian Measures in special Triangles
  44.    wt: 3:   2 Radian Measure Numerical Value of one degree
  45.    wt: 3:   1 Degrees and Radians Introduction
  46.    wt: 3:   32 seven rows of pascals triangle
  47.    wt: 3:   13 Trig Formulas for dot and cross Products
  48.    wt: 3:   13 Pythagorean spatial distance formulas
  49.    wt: 3:   13 Angle Side Angle Failure
  50.    wt: 3:   5 Drawing to Scale Avoids Angle Distortions
  51.    wt: 3:   18 video Count Factors given Prime Factorization
  52.    wt: 3:   15 video Factors of 20 using Prime Factorization
  53.    wt: 3:   10 video Prime Factorization upto 23 squared
  54.    wt: 3:   9 video Prime Factorization upto 19 squared
  55.    wt: 3:   8 video Prime Factorization upto 19
  56.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  57.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  58.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  59.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  60.    wt: 2:   Appendix 1 primary and preschool mathematic
  61.    wt: 2:   E LAMP Introduction Modern Mathematics
  62.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  63.    wt: 2:   Ramblings Extrinsic numbers theory
  64.    wt: 2:   Ramblings Introduction Algebra Essay
  65.    wt: 2:   Skills Chapter 3 Algebra
  66.    wt: 2:   11 pure mathematics
  67.    wt: 2:   9 combinatorics probability sets
  68.    wt: 2:   which way to go
  69.    wt: 2:   three goals to set for students
  70.    wt: 2:   Math Ed if it must be short make it lean effective
  71.    wt: 2:   Applied Maths Program14092009 POMME variant
  72.    wt: 2:   Mathematics Education Professors
  73.    wt: 2:   grouping students according to ability
  74.    wt: 2:   mathematics in context
  75.    wt: 2:   Secondary Three Mathematics
  76.    wt: 2:   Secondary Two Mathematics
  77.    wt: 2:   Secondary One Mathematics
  78.    wt: 2:   What to Tell Students
  79.    wt: 2:   mathematics curriculum shifts
  80.    wt: 2:   teaching tutoring algebraic reason
  81.    wt: 2:   three goals for Mathematics Education
  82.    wt: 2:   05 13 OldSiteEntrancePage
  83.    wt: 2:   04 29 New Mathematics Curriculum
  84.    wt: 2:   02 20 mathematics education references
  85.    wt: 2:   three aims for mathematics students
  86.    wt: 2:   Operational Viewpoint to Value
  87.    wt: 2:   mathematics instruction in general
  88.    wt: 2:   Education in mathematics science and technology
  89.    wt: 2:   Different Kinds of Reasoning in maths
  90.    wt: 2:   three kinds of reason in mathematics
  91.    wt: 2:   Four ways to improve education reform
  92.    wt: 2:   need for a mixed mathematics curriculum
  93.    wt: 2:   Leaner mathematics curriculum
  94.    wt: 2:   chapitre 07 01 principle D induction mathematique
  95.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  96.    wt: 2:   17 Math Booklets for children and young teenagers
  97.    wt: 2:   13 Addition and Addition Tables
  98.    wt: 2:   8 Notes for instructors or tutors
  99.    wt: 2:   13 cosecant function Definition Graph and Inverse
  100.    wt: 2:   3 Left Inverse of cosine arccos definition
  101.    wt: 2:   Triangle Angles Sum To 180 Degrees
  102.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  103.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  104.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  105.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  106.    wt: 2:   31 basic secant cosecant cotangent trig identities
  107.    wt: 2:   15 sine cosine Complementary Angle Relations
  108.    wt: 2:   13 Graph of tangent function many periods
  109.    wt: 2:   7 Second Way to Calculate Products
  110.    wt: 2:   6 Geometric Diagrams in Class
  111.    wt: 2:   3 Similarity by Design with coordinates
  112.    wt: 2:   7 Exercises to test skill and concept mastery
  113.    wt: 2:   4 Polar Coordinates to and from
  114.    wt: 2:   17 Right Bisectors of Triangle Sides
  115.    wt: 2:   10 Dropping a perpendicular to line
  116.    wt: 2:   9 Construction of a right bisector
  117.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  118.    wt: 2:   6 Figuring with Maps Not to Scale
  119.    wt: 2:   4 Angles on Maps Plans drawn to scale
  120.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  121.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  122.    wt: 2:   13 Arrows and Vectors in a Plane
  123.    wt: 2:   13 GCD from given Prime Factorization
  124.    wt: 2:   20 Uniqueness of Prime Factorization
  125.    wt: 2:   19 video Prime Factorization Unique
  126.    wt: 2:   17 Identify and Count Factors using Primes
  127.    wt: 2:   16 video Factors of 980 using prime
  128.    wt: 2:   14 video Factors of 24 Take II
  129.    wt: 2:   7 Calculator Usage Notes and Cautions
  130.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  131.    wt: 2:   5 Prime Factorization and a Square Rule
  132.    wt: 2:   4 video Prime Factorization Introduction
  133.    wt: 2:   1 video how Products are bigger than factor
  134.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  135.    wt: 2:   Chapter 13. Acceleration
  136.    wt: 2:   Appendix E. How To Study Mathematics and Why
  137.    wt: 2:   Chapter 13. Second Reading Guide
  138.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  139.    wt: 2:   Annotated Links to Material Elsehwere
  140.    wt: 2:   Postscript B Mathematics Education References
  141.    wt: 2:   Postscript A Three Remarks
  142.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  143.    wt: 2:   Chapter 2 For and Against Mathematics
  144.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  145.    wt: 2:   M Words to extend arithmetic
  146.    wt: 2:   A. Skill has to be seen to believed
  147.    wt: 2:   Chapter 8 Skipped Topics and Why
  148.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  149.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  150.    wt: 2:   Helping the Blind in Logic and Mathematics
  151.    wt: 2:   Mathematics Education References
  152.    wt: 2:   Mathematics Education References
  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:   K LAMP Musings Science Education
  158.    wt: 1:   J LAMP Introduction Extrinsic Origins
  159.    wt: 1:   I LAMP Introduction Study Habits
  160.    wt: 1:   H LAMP Introduction Instructional Concepts
  161.    wt: 1:   G LAMP Introduction Problem Solving Skills
  162.    wt: 1:   F LAMP Introduction Prerequisites
  163.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  164.    wt: 1:   A Introduction Objectives
  165.    wt: 1:   Skills Chapter 5 Calculus
  166.    wt: 1:   Skills Chapter 4 Logic
  167.    wt: 1:   Skills Chapter 2 Geometry
  168.    wt: 1:   Skills Chapter 1 Arithmetic
  169.    wt: 1:   Skills Chapter 0 Introduction
  170.    wt: 1:   10 statistics
  171.    wt: 1:   8 analytic geometry etc
  172.    wt: 1:   7 logic review and decimals an odd combination
  173.    wt: 1:   6 polynomials etc
  174.    wt: 1:   5 logarithms and exponentials etc
  175.    wt: 1:   4 algebra
  176.    wt: 1:   3 Euclidean Geometry Leanly
  177.    wt: 1:   2 arithmetic with signed numbers
  178.    wt: 1:   1 arithmetic with unsigned numbers
  179.    wt: 1:   What is POMME
  180.    wt: 1:   why bother
  181.    wt: 1:   website reviews
  182.    wt: 1:   Teach the teachers plus goals
  183.    wt: 1:   permissions for teachers
  184.    wt: 1:   activities for students
  185.    wt: 1:   links Education Resources online
  186.    wt: 1:   site origins
  187.    wt: 1:   site eurekas
  188.    wt: 1:   About site lesson plans
  189.    wt: 1:   key notes and themes
  190.    wt: 1:   teacher certification
  191.    wt: 1:   modern education
  192.    wt: 1:   learning takes time
  193.    wt: 1:   what should be learnt and When
  194.    wt: 1:   Postscript 2007 01 10
  195.    wt: 1:   Education Reform Inconsistencies
  196.    wt: 1:   five decades make a difference
  197.    wt: 1:   Maps Plans Drawings
  198.    wt: 1:   how letters appear
  199.    wt: 1:   talk the algebra talk
  200.    wt: 1:   three difficulties
  201.    wt: 1:   teaching tips
  202.    wt: 1:   geometric implications for algebra
  203.    wt: 1:   Lessening Algebra Difficulties
  204.    wt: 1:   the trouble with algebra
  205.    wt: 1:   02 21 words for teachers
  206.    wt: 1:   standards for course material
  207.    wt: 1:   formal or informal peer review
  208.    wt: 1:   Theory of Knowledge
  209.    wt: 1:   cultivating intelligence
  210.    wt: 1:   Motivation and Context Problem
  211.    wt: 1:   Prequel In For A Penny In For A Pound
  212.    wt: 1:   education an empirical art
  213.    wt: 1:   fairness and inductive principles for instruction
  214.    wt: 1:   chapitre 12 00 les iles et division
  215.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  216.    wt: 1:   chapitre 06 00 Chaines de la raison
  217.    wt: 1:   chapitre 05 00 Deception
  218.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  219.    wt: 1:   chapitre 04 09 Regles accidentelles
  220.    wt: 1:   chapitre 04 08 Limitations et benefices
  221.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  222.    wt: 1:   chapitre 04 06 engagements
  223.    wt: 1:   chapitre 04 05 Implication versus suggestion
  224.    wt: 1:   chapitre 04 04 Parlons de la logique
  225.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  226.    wt: 1:   chapitre 04 02 Deuxieme enigme
  227.    wt: 1:   chapitre 04 01 Premiere enigme
  228.    wt: 1:   chapitre 04 00 Les regles d implication
  229.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  230.    wt: 1:   chapitre 02 00 La Communication des idees
  231.    wt: 1:   chapitre 01 00 Introduction
  232.    wt: 1:   liens
  233.    wt: 1:   problemes responses
  234.    wt: 1:   problemes algebre et arithmetique
  235.    wt: 1:   Trois Notions qui menent a algebre
  236.    wt: 1:   deux definitions pour variable
  237.    wt: 1:   logique deux enigme
  238.    wt: 1:   A Wire Resistance Qualitative01
  239.    wt: 1:   3 Like resistors in parallel
  240.    wt: 1:   2 Unlike resistors in parallel01
  241.    wt: 1:   1 Like resistors in series
  242.    wt: 1:   F Unlike Resistors in Series
  243.    wt: 1:   Home Tutoring and Home Schooling
  244.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  245.    wt: 1:   22 Student Centered Highschool Mathematics
  246.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  247.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  248.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  249.    wt: 1:   18 Primary School Mathematics
  250.    wt: 1:   16 Secondary Mathematics Tips
  251.    wt: 1:   12 Goals and Objectives For Mathematics
  252.    wt: 1:   sign monoticity analysis example 4
  253.    wt: 1:   sign monoticity analysis example 3
  254.    wt: 1:   sign monoticity analysis example 2
  255.    wt: 1:   sign monoticity analysis example 1
  256.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  257.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  258.    wt: 1:   4 Function notation in and beyond mathematics
  259.    wt: 1:   3 quadratics factoring by inspection
  260.    wt: 1:   5 Natural Logarithm Calculator Exercises
  261.    wt: 1:   1 Calculator Starter Exercises
  262.    wt: 1:   16 cotangent function Definition Graph and Inverse
  263.    wt: 1:   15 cosecant function Definition Graph and Inverse
  264.    wt: 1:   14 secant 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:   2 cosine function more properties
  275.    wt: 1:   1 cosine function properties
  276.    wt: 1:   4 graphing y=Asin(x c)
  277.    wt: 1:   3 graphing y=f(x c) plus K
  278.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  279.    wt: 1:   1 graphing y=f(x a)
  280.    wt: 1:   Parallel Lines and Parallel Transversals
  281.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  282.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  283.    wt: 1:   Parallel Lines and Interior Angles
  284.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  285.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  286.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  287.    wt: 1:   Straight Lines ASA Intersection Study More
  288.    wt: 1:   Straight Lines ASA Intersection Study
  289.    wt: 1:   Straight Lines Instersection Solving Equations
  290.    wt: 1:   Straight Lines Intersection of
  291.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  292.    wt: 1:   C Straight Lines Slope from Coordinates
  293.    wt: 1:   B Straight Line Slope Scaling Properties More
  294.    wt: 1:   A Straight Line Slope Scaling Properties
  295.    wt: 1:   14 Straight Lines Equations General Case
  296.    wt: 1:   12 Straight Lines Graphing mx plus b
  297.    wt: 1:   11 Straight Lines Graphing y=mx
  298.    wt: 1:   10 Straight Lines through Origin Equations More
  299.    wt: 1:   9 Straight Lines through Origin Equations
  300.    wt: 1:   8 Straight Lines Equation for vertical
  301.    wt: 1:   7 Tangent Function is odd on this domain
  302.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  303.    wt: 1:   5 Tangent Function Graph
  304.    wt: 1:   4 Tangent Function Properties
  305.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  306.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  307.    wt: 1:   1 Straight Lines Slope Concept
  308.    wt: 1:   17 tangent function angle sum formulas
  309.    wt: 1:   30 unit circle calculation of six trigonometric functions
  310.    wt: 1:   29 secant cosecant and cotangent for acute angles
  311.    wt: 1:   28 Expressing products of sines cosines as sums
  312.    wt: 1:   27 Logarithmic use of products of sines and cosines
  313.    wt: 1:   26 Formulas for products of sines and cosines
  314.    wt: 1:   25 tangent double angle formula Slope connection
  315.    wt: 1:   24 tangent Angle Difference Formula
  316.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  317.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  318.    wt: 1:   21 sine and cosine Half Angle Formulas
  319.    wt: 1:   20 sine and cosine Double Angle Formulas
  320.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  321.    wt: 1:   18 sum of sinusoidal waves as a single wave
  322.    wt: 1:   17G Pythagorean Theorem Converse
  323.    wt: 1:   17F Law of cosines
  324.    wt: 1:   17E Trig Formulas for dot and cross Products
  325.    wt: 1:   17D cis formulas for sine cosines and tangent
  326.    wt: 1:   17C sine and cosine double triple angle formulas
  327.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  328.    wt: 1:   17A The complex number valued trig function cis
  329.    wt: 1:   16 Right Triangle Complementary Angle Relations
  330.    wt: 1:   14 cosine even and sine and tangent are odd
  331.    wt: 1:   12 Graph of tangent function for one period
  332.    wt: 1:   11 tangent function undefined when terminal side vertical
  333.    wt: 1:   10 Graphs of sines and cosines many periods
  334.    wt: 1:   9 Graphs of sine and cosine over one period
  335.    wt: 1:   8 period of tangent function
  336.    wt: 1:   7 period of sine and cosine
  337.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  338.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  339.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  340.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  341.    wt: 1:   2 Quadrant I reference Angles
  342.    wt: 1:   1 Unit Points Reflections Rotations
  343.    wt: 1:   Unit Circle Development of Trigonometry
  344.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  345.    wt: 1:   21 Logarithms Powers and Exponentials
  346.    wt: 1:   20 N th Roots of Complex Numbers
  347.    wt: 1:   19 N th Roots of Unity
  348.    wt: 1:   18 Sixth Roots of Unity
  349.    wt: 1:   17 Cube Roots of unity
  350.    wt: 1:   16 References and Originality Question
  351.    wt: 1:   15 Pythagorean Theorem Converse
  352.    wt: 1:   14 Law of cosines
  353.    wt: 1:   12 cis formulas for sine cosines and tangent
  354.    wt: 1:   11 sine and cosine double triple angle formulas
  355.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  356.    wt: 1:   9 The complex number valued trig function cis
  357.    wt: 1:   8 Unit Circle Development of Trigonometry
  358.    wt: 1:   6 Field Properties of Complex Number
  359.    wt: 1:   5 An Easy Proof of the Distributive Law
  360.    wt: 1:   4 Multiplication Properties
  361.    wt: 1:   3 Addition Properties
  362.    wt: 1:   2 Complex Numbers made easier we hope
  363.    wt: 1:   1 Rectangular Polar Coordinates Review
  364.    wt: 1:   Appetizer A Complex Number Applet
  365.    wt: 1:   8 Triangles Cascade Problem Solving
  366.    wt: 1:   7 Trignometric Ratios Unit Circle
  367.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  368.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  369.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  370.    wt: 1:   3 Trigonometric Ratios sine and cosine
  371.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  372.    wt: 1:   1 Angle Measurement with Degrees
  373.    wt: 1:   Why Trigonometry the whyslopes view
  374.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  375.    wt: 1:   12 Triangles Similarity More Problems
  376.    wt: 1:   11 Triangle Similarity Missing Side Problem
  377.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  378.    wt: 1:   9 Similarity of Triangles Usual Criteria
  379.    wt: 1:   8 Similarity of Triangles and Polygons
  380.    wt: 1:   7 Translations Rotations Reflections Dilatations
  381.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  382.    wt: 1:   4 Similarity Definition with Coordinate
  383.    wt: 1:   2 Similarity By Design
  384.    wt: 1:   1 Early Concept of Like or Similar Shapes
  385.    wt: 1:   Four Simple Exercises
  386.    wt: 1:   12 Links Lessons elsewhere
  387.    wt: 1:   11 A Partial Summary
  388.    wt: 1:   10 Midpoint of [a b] and [b a]
  389.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  390.    wt: 1:   8 Mid Point Formula
  391.    wt: 1:   6 Intersection of lines by solving linear systems
  392.    wt: 1:   5 Algebraic View of Slopes
  393.    wt: 1:   4 Equations for lines three forms
  394.    wt: 1:   3 Slope product for perpendicular lines
  395.    wt: 1:   2 point slope equation for a line
  396.    wt: 1:   1 Numerical view of lines and their equations
  397.    wt: 1:   What is and is not here
  398.    wt: 1:   12 Spatial Coordinates
  399.    wt: 1:   11 Triangle Inequality
  400.    wt: 1:   10 Pythagorean plane distance formula
  401.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  402.    wt: 1:   8 Distance Between Points on a Line
  403.    wt: 1:   7 Complex Numbers Appetizer
  404.    wt: 1:   6 Polar Multiplication and Rotation
  405.    wt: 1:   5 Cartesian Addition and Translation
  406.    wt: 1:   3 Rectangular Coordinates Review
  407.    wt: 1:   2 Cartesian Coordinates with signs
  408.    wt: 1:   1 Cartesian Coordinates sans signs
  409.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  410.    wt: 1:   PS H Distributive Law For Complex Numbers
  411.    wt: 1:   PS G Rotation Distributes over Addition
  412.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  413.    wt: 1:   PS E Multiplication with Polar Coordinates
  414.    wt: 1:   PS D Addition with Cartesian Coordinates
  415.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  416.    wt: 1:   PS B Parallelogram Construction Methods
  417.    wt: 1:   PS A Kite Construction Methods
  418.    wt: 1:   21 Parallelograms
  419.    wt: 1:   19 Right Triangle Similarity
  420.    wt: 1:   18 Triangle Similarity Take 1
  421.    wt: 1:   16 Angles Subtended By Chords and Diameters
  422.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  423.    wt: 1:   14 Parallel Lines Postulate
  424.    wt: 1:   12 Side Angle Side Failure
  425.    wt: 1:   11 Triangle Construction Fails
  426.    wt: 1:   8 Isoceles Triangles
  427.    wt: 1:   7 Angle Side Angle
  428.    wt: 1:   6 Ruler and compass Angle Bisection
  429.    wt: 1:   5 Side Angle Side
  430.    wt: 1:   4 Side Side Side
  431.    wt: 1:   3 Isometry of Triangles Congruence
  432.    wt: 1:   2 Correspondence between Triangles
  433.    wt: 1:   1 Initial Concepts and Terms
  434.    wt: 1:   Short Course on Euclidean Geometry
  435.    wt: 1:   A Measurement with Ruler Proper Use
  436.    wt: 1:   3 Lengths and Areas on Maps and Plans
  437.    wt: 1:   2 Measuring Area Directly
  438.    wt: 1:   1 Length Measurement
  439.    wt: 1:   About Folder Contents
  440.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  441.    wt: 1:   21 Addition of Multiples of a Single Vector
  442.    wt: 1:   19 Signed Multiples of Vectors
  443.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  444.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  445.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  446.    wt: 1:   15 Head to Tails in place Addition Associative
  447.    wt: 1:   13 Real Number Subtraction
  448.    wt: 1:   13 Naming Identifying Formulas with Words
  449.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  450.    wt: 1:   4 A Brief Story of numbers and algebra
  451.    wt: 1:   3 Adding Words To Arithmetic
  452.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  453.    wt: 1:   7 GCD and LCM from prime factorization
  454.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  455.    wt: 1:   4 Counting with Trees Product Rule Take I
  456.    wt: 1:   3 Counting with Tables and Trees II
  457.    wt: 1:   2 Counting with Tables and Trees I
  458.    wt: 1:   1 Counting and Counting Methods I
  459.    wt: 1:   19 Dividing Fractions How TO
  460.    wt: 1:   18 Efficient Ways to Multiply
  461.    wt: 1:   17 Efficient Ways to Add and Subtract
  462.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  463.    wt: 1:   14 Adding and Subtracting with Like Denominators
  464.    wt: 1:   13 Fraction Comparison Algebraic View
  465.    wt: 1:   A Associative Law Theorectical Note
  466.    wt: 1:   13 Subtraction with Additive Inverse
  467.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  468.    wt: 1:   12 LCD GCD and LCM using Primes
  469.    wt: 1:   11 Efficient Square Rule Use
  470.    wt: 1:   3 video Primes and Composites from 9 times table
  471.    wt: 1:   2 Prime and Composites less than 16
  472.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  473.    wt: 1:   8 What skills and work habits to require
  474.    wt: 1:   5. How to add decimals C. Examples
  475.    wt: 1:   4. How to add with decimals B with conversions
  476.    wt: 1:   3. How to add with decimals A sans conversions
  477.    wt: 1:   Quick history of numbers and algebra
  478.    wt: 1:   Formula Evaluation how to show work
  479.    wt: 1:   Expression Evaluation how to show work
  480.    wt: 1:   013 Travel Time Tables
  481.    wt: 1:   8 Addition of Time Intervals via subtotaling
  482.    wt: 1:   1 Intro of Kids To Time Date Skills
  483.    wt: 1:   13 sine and cosine derivatives 1st step
  484.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  485.    wt: 1:   11 Limits at infinity Three Examples
  486.    wt: 1:   10 Three one sided limits with infinite values
  487.    wt: 1:   9 Limits Continuity and Composition
  488.    wt: 1:   8 Four Animated Examples
  489.    wt: 1:   7 Evaluation by immediate or delayed substitution
  490.    wt: 1:   6 Continuity at a point
  491.    wt: 1:   5 Jumps and absence of unlimited error control
  492.    wt: 1:   4 Numerical properties
  493.    wt: 1:   3 Decimal insights for limits continuity convergence
  494.    wt: 1:   2 Algebraic codification
  495.    wt: 1:   1 Numerical introduction
  496.    wt: 1:   F.5a Equicontinuity Theorems
  497.    wt: 1:   D2 Limits of Monotone Sequences
  498.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  499.    wt: 1:   Chapter 23 Links To Trigonometry
  500.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  501.    wt: 1:   Appendix D. What to do in School and Why
  502.    wt: 1:   Appendix C. How to Read
  503.    wt: 1:   Appendix B. How To Learn
  504.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  505.    wt: 1:   Chapter 25. Mathematical Induction Examples
  506.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  507.    wt: 1:   Chapter 12 Four Phases
  508.    wt: 1:   Chapter 11 Elementary Instruction
  509.    wt: 1:   Chapter 10 Transition
  510.    wt: 1:   Chapter 9 The Two Ends
  511.    wt: 1:   Chapter 8 Modern Instruction
  512.    wt: 1:   Chapter 7 Two Treatments of Geometry
  513.    wt: 1:   Chapter 5 Four References
  514.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  515.    wt: 1:   Chapter 3 Algebra Difficulties
  516.    wt: 1:   Chapter 1 Introduction
  517.    wt: 1:   Foreword
  518.    wt: 1:   Postscript C Consistency as a Tool for Reason
  519.    wt: 1:   Postscript B More on Story Telling and Reason
  520.    wt: 1:   Postscript A Story Telling
  521.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  522.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  523.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  524.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  525.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  526.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  527.    wt: 1:   S Adding words to algebra
  528.    wt: 1:   R Why Learn Mathematics Skills
  529.    wt: 1:   O On Learning Mathematics and Science
  530.    wt: 1:   N Mathematics Prepare for College Studies
  531.    wt: 1:   H more Routine to non routine problem solving
  532.    wt: 1:   F. The student teacher tutor feedback loop
  533.    wt: 1:   E. When and how to correct errors
  534.    wt: 1:   How to Build Skills and Confidence
  535.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  536.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  537.    wt: 1:   Chapter 6 More Algebra and Geometry
  538.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  539.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  540.    wt: 1:   Chapter 3 Algebra Starter Lessons
  541.    wt: 1:   Chapter 2 Why Sets
  542.    wt: 1:   Chapter 1 Arithmetic
  543.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  544.    wt: 1:   7 Games and Activities for Instruction
  545.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  546.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  547.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  548.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  549.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  550.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  551.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  552.    wt: 1:   Implementation Notes
  553.    wt: 1:   More Algebra and Slope based Calculus Preview
  554.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  555.    wt: 1:   Systematic Algebra Skill Development Missing Links
  556.    wt: 1:   The Math Forum and Site Content
Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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