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

Logic mastery strengthens comprehension and so improves home, work & study abilities .
 Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 14+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5 fraction operations by raising terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles
Forewords + leading chapters give original reasons, still valid, for site content & growth.

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

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

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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  1.    wt: 4:   Mathematics Education Essays/
  2.    wt: 4:   14 Degrees to Radians and Radians to Degrees/
  3.    wt: 3:   15 Arc or Inverse Trigonometric Function/
  4.    wt: 3:   13 Vectors/
  5.    wt: 3:   8 Unit Circle Trigonometry/
  6.    wt: 3:   6 Trigonometry first steps/
  7.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  8.    wt: 2:   12 Function Translating and Rescaling/
  9.    wt: 2:   11 Parallel Straight Lines and Transversals/
  10.    wt: 2:   10 Intersecting Straight Lines and Transversals/
  11.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  12.    wt: 2:   7 Complex Numbers/
  13.    wt: 2:   5 What is Similarity/
  14.    wt: 2:   4 Lines and Slopes Take 1/
  15.    wt: 2:   3 Cartesian and Polar Coordinates/
  16.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  17.    wt: 2:   1 Maps Plans Measurement/
  18.    wt: 2:   Geometry maps plans trigonometry vectors/
  19.    wt: 1:   LAMP Lean Applied Mathematics Program/
  20.    wt: 1:   Archives/
  21.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  22.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  23.    wt: 1:   9 Combinatorics Trees Tables and Products/
  24.    wt: 1:   3 Prime Factorization Skills/

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190 matches:

  1.    wt: 4:   which way to go
  2.    wt: 4:   Which Way To Go
  3.    wt: 3:   Four ways to improve education reform
  4.    wt: 3:   13 From one to one to many to one
  5.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  6.    wt: 2:   three goals to set for students
  7.    wt: 2:   three goals for Mathematics Education
  8.    wt: 2:   04 25 when to stop or suspend mathemat
  9.    wt: 2:   How to be a better instructor
  10.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  11.    wt: 2:   8 Notes for instructors or tutors
  12.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  13.    wt: 2:   7 Second Way to Calculate Products
  14.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  15.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  16.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  17.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  18.    wt: 2:   18 Efficient Ways to Multiply
  19.    wt: 2:   17 Efficient Ways to Add and Subtract
  20.    wt: 2:   18 video Count Factors given Prime Factorization
  21.    wt: 2:   15 video Factors of 20 using Prime Factorization
  22.    wt: 2:   10 video Prime Factorization upto 23 squared
  23.    wt: 2:   9 video Prime Factorization upto 19 squared
  24.    wt: 2:   8 video Prime Factorization upto 19
  25.    wt: 2:   Chapter 23 Links To Trigonometry
  26.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  27.    wt: 2:   A. Skill has to be seen to believed
  28.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  29.    wt: 1:   K LAMP Musings Science Education
  30.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  31.    wt: 1:   9 combinatorics probability sets
  32.    wt: 1:   Teach the teachers plus goals
  33.    wt: 1:   links Education Resources online
  34.    wt: 1:   Mathematics Education Professors
  35.    wt: 1:   modern education
  36.    wt: 1:   grouping students according to ability
  37.    wt: 1:   Education Reform Inconsistencies
  38.    wt: 1:   What to Tell Students
  39.    wt: 1:   teaching tutoring algebraic reason
  40.    wt: 1:   02 20 mathematics education references
  41.    wt: 1:   Operational Viewpoint to Value
  42.    wt: 1:   Education in mathematics science and technology
  43.    wt: 1:   education an empirical art
  44.    wt: 1:   words for mathematics instructor
  45.    wt: 1:   3 Like resistors in parallel
  46.    wt: 1:   2 Unlike resistors in parallel01
  47.    wt: 1:   1 Like resistors in series
  48.    wt: 1:   F Unlike Resistors in Series
  49.    wt: 1:   Home Tutoring and Home Schooling
  50.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  51.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  52.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  53.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  54.    wt: 1:   12 Goals and Objectives For Mathematics
  55.    wt: 1:   11 Help and Defend Your Child or Teens Education
  56.    wt: 1:   Ages 12 to 14 Skills with take home value
  57.    wt: 1:   Ages 12 to 14 Geometry
  58.    wt: 1:   Ages 12 to 14 Arithmetic
  59.    wt: 1:   Ages 10 to 12 Geometry
  60.    wt: 1:   Ages 10 to 12 Arithmetic
  61.    wt: 1:   Ages 9 to 10
  62.    wt: 1:   Ages 8 to 9
  63.    wt: 1:   Ages 7 to 8
  64.    wt: 1:   Ages 6 to 7
  65.    wt: 1:   Ages 4 plus to 5 plus
  66.    wt: 1:   Ages 3 plus to 4 plus
  67.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  68.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  69.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  70.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  71.    wt: 1:   3 quadratics factoring by inspection
  72.    wt: 1:   5 Natural Logarithm Calculator Exercises
  73.    wt: 1:   1 Calculator Starter Exercises
  74.    wt: 1:   9 Summary Degrees to Radians and back
  75.    wt: 1:   6 Radian Measure to Degrees
  76.    wt: 1:   5 Degrees to Radian Measure
  77.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  78.    wt: 1:   13 Velocity Vectors in Physics
  79.    wt: 1:   12 From Applied To Pure Mathematics
  80.    wt: 1:   9 Head to Tail Coordinate View
  81.    wt: 1:   8 Parallel Vectors
  82.    wt: 1:   6 Vectors with Coordinates
  83.    wt: 1:   5 Head To Tail Arrow Addition
  84.    wt: 1:   3 Navigation with Arrows or Vectors
  85.    wt: 1:   Vector and Complex Number Applet
  86.    wt: 1:   Triangle Angles Sum To 180 Degrees
  87.    wt: 1:   30 unit circle calculation of six trigonometric functions
  88.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  89.    wt: 1:   17G Pythagorean Theorem Converse
  90.    wt: 1:   Unit Circle Development of Trigonometry
  91.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  92.    wt: 1:   15 Pythagorean Theorem Converse
  93.    wt: 1:   8 Unit Circle Development of Trigonometry
  94.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  95.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  96.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  97.    wt: 1:   3 Trigonometric Ratios sine and cosine
  98.    wt: 1:   Why Trigonometry the whyslopes view
  99.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  100.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  101.    wt: 1:   8 Similarity of Triangles and Polygons
  102.    wt: 1:   7 Exercises to test skill and concept mastery
  103.    wt: 1:   13 Pythagorean spatial distance formulas
  104.    wt: 1:   10 Pythagorean plane distance formula
  105.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  106.    wt: 1:   4 Polar Coordinates to and from
  107.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  108.    wt: 1:   17 Right Bisectors of Triangle Sides
  109.    wt: 1:   10 Dropping a perpendicular to line
  110.    wt: 1:   9 Construction of a right bisector
  111.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  112.    wt: 1:   6 Figuring with Maps Not to Scale
  113.    wt: 1:   4 Angles on Maps Plans drawn to scale
  114.    wt: 1:   21 Addition of Multiples of a Single Vector
  115.    wt: 1:   19 Signed Multiples of Vectors
  116.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  117.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  118.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  119.    wt: 1:   15 Head to Tails in place Addition Associative
  120.    wt: 1:   13 Arrows and Vectors in a Plane
  121.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  122.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  123.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  124.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  125.    wt: 1:   4 A Brief Story of numbers and algebra
  126.    wt: 1:   3 Adding Words To Arithmetic
  127.    wt: 1:   13 GCD from given Prime Factorization
  128.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  129.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  130.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  131.    wt: 1:   8 GCD from Euclidean Algorithm
  132.    wt: 1:   7 GCD and LCM from prime factorization
  133.    wt: 1:   19 Dividing Fractions How TO
  134.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  135.    wt: 1:   14 Adding and Subtracting with Like Denominators
  136.    wt: 1:   20 Uniqueness of Prime Factorization
  137.    wt: 1:   19 video Prime Factorization Unique
  138.    wt: 1:   17 Identify and Count Factors using Primes
  139.    wt: 1:   16 video Factors of 980 using prime
  140.    wt: 1:   14 video Factors of 24 Take II
  141.    wt: 1:   13 video Factors of 24 using prime
  142.    wt: 1:   7 Calculator Usage Notes and Cautions
  143.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  144.    wt: 1:   5 Prime Factorization and a Square Rule
  145.    wt: 1:   4 video Prime Factorization Introduction
  146.    wt: 1:   1 video how Products are bigger than factor
  147.    wt: 1:   10 Division by Five Long and Short Ways
  148.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  149.    wt: 1:   8 What skills and work habits to require
  150.    wt: 1:   5. How to add decimals C. Examples
  151.    wt: 1:   4. How to add with decimals B with conversions
  152.    wt: 1:   3. How to add with decimals A sans conversions
  153.    wt: 1:   11 Place Value SI Standard International way
  154.    wt: 1:   Quick history of numbers and algebra
  155.    wt: 1:   Formula Evaluation how to show work
  156.    wt: 1:   Expression Evaluation how to show work
  157.    wt: 1:   8 Addition of Time Intervals via subtotaling
  158.    wt: 1:   1 Intro of Kids To Time Date Skills
  159.    wt: 1:   D2 Limits of Monotone Sequences
  160.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  161.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  162.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  163.    wt: 1:   Appendix E. How To Study Mathematics and Why
  164.    wt: 1:   Appendix D. What to do in School and Why
  165.    wt: 1:   Appendix C. How to Read
  166.    wt: 1:   Appendix B. How To Learn
  167.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  168.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  169.    wt: 1:   Annotated Links to Material Elsehwere
  170.    wt: 1:   Postscript B Mathematics Education References
  171.    wt: 1:   Postscript C Consistency as a Tool for Reason
  172.    wt: 1:   Postscript B More on Story Telling and Reason
  173.    wt: 1:   Postscript A Story Telling
  174.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  175.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  176.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  177.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  178.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  179.    wt: 1:   S Adding words to algebra
  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:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  186.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  187.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  188.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  189.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  190.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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475 matches:

  1.    wt: 8:   which way to go
  2.    wt: 7:   Four ways to improve education reform
  3.    wt: 6:   three goals to set for students
  4.    wt: 6:   three goals for Mathematics Education
  5.    wt: 6:   04 25 when to stop or suspend mathemat
  6.    wt: 6:   How to be a better instructor
  7.    wt: 6:   4 Circle Sector Area proportional to Central Angle
  8.    wt: 5:   Teach the teachers plus goals
  9.    wt: 5:   links Education Resources online
  10.    wt: 5:   Mathematics Education Professors
  11.    wt: 5:   modern education
  12.    wt: 5:   grouping students according to ability
  13.    wt: 5:   Education Reform Inconsistencies
  14.    wt: 5:   What to Tell Students
  15.    wt: 5:   teaching tutoring algebraic reason
  16.    wt: 5:   02 20 mathematics education references
  17.    wt: 5:   Operational Viewpoint to Value
  18.    wt: 5:   Education in mathematics science and technology
  19.    wt: 5:   education an empirical art
  20.    wt: 5:   words for mathematics instructor
  21.    wt: 5:   9 Summary Degrees to Radians and back
  22.    wt: 5:   6 Radian Measure to Degrees
  23.    wt: 5:   5 Degrees to Radian Measure
  24.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  25.    wt: 4:   why bother
  26.    wt: 4:   website reviews
  27.    wt: 4:   permissions for teachers
  28.    wt: 4:   Math Ed if it must be short make it lean effective
  29.    wt: 4:   Applied Maths Program14092009 POMME variant
  30.    wt: 4:   activities for students
  31.    wt: 4:   site origins
  32.    wt: 4:   site eurekas
  33.    wt: 4:   About site lesson plans
  34.    wt: 4:   key notes and themes
  35.    wt: 4:   teacher certification
  36.    wt: 4:   learning takes time
  37.    wt: 4:   what should be learnt and When
  38.    wt: 4:   mathematics in context
  39.    wt: 4:   Postscript 2007 01 10
  40.    wt: 4:   five decades make a difference
  41.    wt: 4:   Maps Plans Drawings
  42.    wt: 4:   how letters appear
  43.    wt: 4:   Secondary Three Mathematics
  44.    wt: 4:   Secondary Two Mathematics
  45.    wt: 4:   Secondary One Mathematics
  46.    wt: 4:   talk the algebra talk
  47.    wt: 4:   three difficulties
  48.    wt: 4:   teaching tips
  49.    wt: 4:   mathematics curriculum shifts
  50.    wt: 4:   geometric implications for algebra
  51.    wt: 4:   Lessening Algebra Difficulties
  52.    wt: 4:   the trouble with algebra
  53.    wt: 4:   05 13 OldSiteEntrancePage
  54.    wt: 4:   04 29 New Mathematics Curriculum
  55.    wt: 4:   02 21 words for teachers
  56.    wt: 4:   three aims for mathematics students
  57.    wt: 4:   standards for course material
  58.    wt: 4:   formal or informal peer review
  59.    wt: 4:   Theory of Knowledge
  60.    wt: 4:   mathematics instruction in general
  61.    wt: 4:   Different Kinds of Reasoning in maths
  62.    wt: 4:   three kinds of reason in mathematics
  63.    wt: 4:   cultivating intelligence
  64.    wt: 4:   Motivation and Context Problem
  65.    wt: 4:   need for a mixed mathematics curriculum
  66.    wt: 4:   Leaner mathematics curriculum
  67.    wt: 4:   Prequel In For A Penny In For A Pound
  68.    wt: 4:   fairness and inductive principles for instruction
  69.    wt: 4:   8 Radian Measures of Common Angles
  70.    wt: 4:   7 Radian Measures in special Triangles
  71.    wt: 4:   2 Radian Measure Numerical Value of one degree
  72.    wt: 4:   1 Degrees and Radians Introduction
  73.    wt: 4:   13 Velocity Vectors in Physics
  74.    wt: 4:   12 From Applied To Pure Mathematics
  75.    wt: 4:   9 Head to Tail Coordinate View
  76.    wt: 4:   8 Parallel Vectors
  77.    wt: 4:   6 Vectors with Coordinates
  78.    wt: 4:   5 Head To Tail Arrow Addition
  79.    wt: 4:   3 Navigation with Arrows or Vectors
  80.    wt: 4:   Vector and Complex Number Applet
  81.    wt: 4:   30 unit circle calculation of six trigonometric functions
  82.    wt: 4:   19 Pythagorean Identity For sine and cosine functions
  83.    wt: 4:   17G Pythagorean Theorem Converse
  84.    wt: 4:   Unit Circle Development of Trigonometry
  85.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  86.    wt: 4:   7 Second Way to Calculate Products
  87.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  88.    wt: 4:   5 Trigonometric Ratios For Tangent and Special Triangles
  89.    wt: 4:   4 Trigonometric Ratios For Two Special Triangles
  90.    wt: 4:   3 Trigonometric Ratios sine and cosine
  91.    wt: 4:   Why Trigonometry the whyslopes view
  92.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  93.    wt: 4:   5 Drawing to Scale Avoids Angle Distortions
  94.    wt: 4:   Which Way To Go
  95.    wt: 3:   9 combinatorics probability sets
  96.    wt: 3:   13 From one to one to many to one
  97.    wt: 3:   16 cotangent function Definition Graph and Inverse
  98.    wt: 3:   15 cosecant function Definition Graph and Inverse
  99.    wt: 3:   14 secant function Definition Graph and Inverse
  100.    wt: 3:   13 cosecant function Definition Graph and Inverse
  101.    wt: 3:   12 motivation for term arctan
  102.    wt: 3:   11 arctan left inverse of tangent Graph
  103.    wt: 3:   10 arctan left inverse of tangent Definition
  104.    wt: 3:   9 motivation for name arcsin
  105.    wt: 3:   8 arcsin left inverse of sine Graph
  106.    wt: 3:   7 arcsin left inverse of sine Definition
  107.    wt: 3:   6 Graph of arccos function
  108.    wt: 3:   5 Swapping Coordinates is a reflection
  109.    wt: 3:   4 possible motivation for term arccos
  110.    wt: 3:   3 Left Inverse of cosine arccos definition
  111.    wt: 3:   2 cosine function more properties
  112.    wt: 3:   1 cosine function properties
  113.    wt: 3:   A Global Time and Navigation
  114.    wt: 3:   15 Dot and Cross Product
  115.    wt: 3:   14 Why Scalar Multiplication Distributes Physical Argument
  116.    wt: 3:   11 Component Method
  117.    wt: 3:   10 Parallelogram Addition Method
  118.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  119.    wt: 3:   4 Resultant of a Sum of Movements
  120.    wt: 3:   2 Signed Coordinates
  121.    wt: 3:   1 Unsigned Coordinates
  122.    wt: 3:   Triangle Angles Sum To 180 Degrees
  123.    wt: 3:   17 tangent function angle sum formulas
  124.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  125.    wt: 3:   34 sines and cosines of 2A 3A 4A 5A
  126.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  127.    wt: 3:   32 seven rows of pascals triangle
  128.    wt: 3:   31 basic secant cosecant cotangent trig identities
  129.    wt: 3:   29 secant cosecant and cotangent for acute angles
  130.    wt: 3:   28 Expressing products of sines cosines as sums
  131.    wt: 3:   27 Logarithmic use of products of sines and cosines
  132.    wt: 3:   26 Formulas for products of sines and cosines
  133.    wt: 3:   25 tangent double angle formula Slope connection
  134.    wt: 3:   24 tangent Angle Difference Formula
  135.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  136.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  137.    wt: 3:   21 sine and cosine Half Angle Formulas
  138.    wt: 3:   20 sine and cosine Double Angle Formulas
  139.    wt: 3:   18 sum of sinusoidal waves as a single wave
  140.    wt: 3:   17F Law of cosines
  141.    wt: 3:   17E Trig Formulas for dot and cross Products
  142.    wt: 3:   17D cis formulas for sine cosines and tangent
  143.    wt: 3:   17C sine and cosine double triple angle formulas
  144.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  145.    wt: 3:   17A The complex number valued trig function cis
  146.    wt: 3:   16 Right Triangle Complementary Angle Relations
  147.    wt: 3:   15 sine cosine Complementary Angle Relations
  148.    wt: 3:   14 cosine even and sine and tangent are odd
  149.    wt: 3:   13 Graph of tangent function many periods
  150.    wt: 3:   12 Graph of tangent function for one period
  151.    wt: 3:   11 tangent function undefined when terminal side vertical
  152.    wt: 3:   10 Graphs of sines and cosines many periods
  153.    wt: 3:   9 Graphs of sine and cosine over one period
  154.    wt: 3:   8 period of tangent function
  155.    wt: 3:   7 period of sine and cosine
  156.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  157.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  158.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  159.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  160.    wt: 3:   2 Quadrant I reference Angles
  161.    wt: 3:   1 Unit Points Reflections Rotations
  162.    wt: 3:   15 Pythagorean Theorem Converse
  163.    wt: 3:   8 Unit Circle Development of Trigonometry
  164.    wt: 3:   8 Triangles Cascade Problem Solving
  165.    wt: 3:   7 Trignometric Ratios Unit Circle
  166.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  167.    wt: 3:   1 Angle Measurement with Degrees
  168.    wt: 3:   13 Navigation Location from Angles to 2 Landmarks
  169.    wt: 3:   8 Similarity of Triangles and Polygons
  170.    wt: 3:   7 Exercises to test skill and concept mastery
  171.    wt: 3:   13 Pythagorean spatial distance formulas
  172.    wt: 3:   10 Pythagorean plane distance formula
  173.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  174.    wt: 3:   4 Polar Coordinates to and from
  175.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  176.    wt: 3:   17 Right Bisectors of Triangle Sides
  177.    wt: 3:   10 Dropping a perpendicular to line
  178.    wt: 3:   9 Construction of a right bisector
  179.    wt: 3:   8 More Use of Maps Not Drawn to Scale
  180.    wt: 3:   6 Figuring with Maps Not to Scale
  181.    wt: 3:   4 Angles on Maps Plans drawn to scale
  182.    wt: 3:   18 video Count Factors given Prime Factorization
  183.    wt: 3:   15 video Factors of 20 using Prime Factorization
  184.    wt: 3:   10 video Prime Factorization upto 23 squared
  185.    wt: 3:   9 video Prime Factorization upto 19 squared
  186.    wt: 3:   8 video Prime Factorization upto 19
  187.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  188.    wt: 2:   K LAMP Musings Science Education
  189.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  190.    wt: 2:   11 pure mathematics
  191.    wt: 2:   10 statistics
  192.    wt: 2:   8 analytic geometry etc
  193.    wt: 2:   7 logic review and decimals an odd combination
  194.    wt: 2:   6 polynomials etc
  195.    wt: 2:   5 logarithms and exponentials etc
  196.    wt: 2:   4 algebra
  197.    wt: 2:   3 Euclidean Geometry Leanly
  198.    wt: 2:   2 arithmetic with signed numbers
  199.    wt: 2:   1 arithmetic with unsigned numbers
  200.    wt: 2:   What is POMME
  201.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  202.    wt: 2:   8 Notes for instructors or tutors
  203.    wt: 2:   4 graphing y=Asin(x c)
  204.    wt: 2:   3 graphing y=f(x c) plus K
  205.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  206.    wt: 2:   1 graphing y=f(x a)
  207.    wt: 2:   Parallel Lines and Parallel Transversals
  208.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  209.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  210.    wt: 2:   Parallel Lines and Interior Angles
  211.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  212.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  213.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  214.    wt: 2:   Straight Lines ASA Intersection Study More
  215.    wt: 2:   Straight Lines ASA Intersection Study
  216.    wt: 2:   Straight Lines Instersection Solving Equations
  217.    wt: 2:   Straight Lines Intersection of
  218.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  219.    wt: 2:   C Straight Lines Slope from Coordinates
  220.    wt: 2:   B Straight Line Slope Scaling Properties More
  221.    wt: 2:   A Straight Line Slope Scaling Properties
  222.    wt: 2:   14 Straight Lines Equations General Case
  223.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  224.    wt: 2:   12 Straight Lines Graphing mx plus b
  225.    wt: 2:   11 Straight Lines Graphing y=mx
  226.    wt: 2:   10 Straight Lines through Origin Equations More
  227.    wt: 2:   9 Straight Lines through Origin Equations
  228.    wt: 2:   8 Straight Lines Equation for vertical
  229.    wt: 2:   7 Tangent Function is odd on this domain
  230.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  231.    wt: 2:   5 Tangent Function Graph
  232.    wt: 2:   4 Tangent Function Properties
  233.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  234.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  235.    wt: 2:   1 Straight Lines Slope Concept
  236.    wt: 2:   21 Logarithms Powers and Exponentials
  237.    wt: 2:   20 N th Roots of Complex Numbers
  238.    wt: 2:   19 N th Roots of Unity
  239.    wt: 2:   18 Sixth Roots of Unity
  240.    wt: 2:   17 Cube Roots of unity
  241.    wt: 2:   16 References and Originality Question
  242.    wt: 2:   14 Law of cosines
  243.    wt: 2:   13 Trig Formulas for dot and cross Products
  244.    wt: 2:   12 cis formulas for sine cosines and tangent
  245.    wt: 2:   11 sine and cosine double triple angle formulas
  246.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  247.    wt: 2:   9 The complex number valued trig function cis
  248.    wt: 2:   6 Field Properties of Complex Number
  249.    wt: 2:   5 An Easy Proof of the Distributive Law
  250.    wt: 2:   4 Multiplication Properties
  251.    wt: 2:   3 Addition Properties
  252.    wt: 2:   2 Complex Numbers made easier we hope
  253.    wt: 2:   1 Rectangular Polar Coordinates Review
  254.    wt: 2:   Appetizer A Complex Number Applet
  255.    wt: 2:   12 Triangles Similarity More Problems
  256.    wt: 2:   11 Triangle Similarity Missing Side Problem
  257.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  258.    wt: 2:   9 Similarity of Triangles Usual Criteria
  259.    wt: 2:   7 Translations Rotations Reflections Dilatations
  260.    wt: 2:   6 Geometric Diagrams in Class
  261.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  262.    wt: 2:   4 Similarity Definition with Coordinate
  263.    wt: 2:   3 Similarity by Design with coordinates
  264.    wt: 2:   2 Similarity By Design
  265.    wt: 2:   1 Early Concept of Like or Similar Shapes
  266.    wt: 2:   Four Simple Exercises
  267.    wt: 2:   12 Links Lessons elsewhere
  268.    wt: 2:   11 A Partial Summary
  269.    wt: 2:   10 Midpoint of [a b] and [b a]
  270.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  271.    wt: 2:   8 Mid Point Formula
  272.    wt: 2:   6 Intersection of lines by solving linear systems
  273.    wt: 2:   5 Algebraic View of Slopes
  274.    wt: 2:   4 Equations for lines three forms
  275.    wt: 2:   3 Slope product for perpendicular lines
  276.    wt: 2:   2 point slope equation for a line
  277.    wt: 2:   1 Numerical view of lines and their equations
  278.    wt: 2:   What is and is not here
  279.    wt: 2:   12 Spatial Coordinates
  280.    wt: 2:   11 Triangle Inequality
  281.    wt: 2:   8 Distance Between Points on a Line
  282.    wt: 2:   7 Complex Numbers Appetizer
  283.    wt: 2:   6 Polar Multiplication and Rotation
  284.    wt: 2:   5 Cartesian Addition and Translation
  285.    wt: 2:   3 Rectangular Coordinates Review
  286.    wt: 2:   2 Cartesian Coordinates with signs
  287.    wt: 2:   1 Cartesian Coordinates sans signs
  288.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  289.    wt: 2:   PS H Distributive Law For Complex Numbers
  290.    wt: 2:   PS G Rotation Distributes over Addition
  291.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  292.    wt: 2:   PS E Multiplication with Polar Coordinates
  293.    wt: 2:   PS D Addition with Cartesian Coordinates
  294.    wt: 2:   PS B Parallelogram Construction Methods
  295.    wt: 2:   PS A Kite Construction Methods
  296.    wt: 2:   21 Parallelograms
  297.    wt: 2:   19 Right Triangle Similarity
  298.    wt: 2:   18 Triangle Similarity Take 1
  299.    wt: 2:   16 Angles Subtended By Chords and Diameters
  300.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  301.    wt: 2:   14 Parallel Lines Postulate
  302.    wt: 2:   13 Angle Side Angle Failure
  303.    wt: 2:   12 Side Angle Side Failure
  304.    wt: 2:   11 Triangle Construction Fails
  305.    wt: 2:   8 Isoceles Triangles
  306.    wt: 2:   7 Angle Side Angle
  307.    wt: 2:   6 Ruler and compass Angle Bisection
  308.    wt: 2:   5 Side Angle Side
  309.    wt: 2:   4 Side Side Side
  310.    wt: 2:   3 Isometry of Triangles Congruence
  311.    wt: 2:   2 Correspondence between Triangles
  312.    wt: 2:   1 Initial Concepts and Terms
  313.    wt: 2:   Short Course on Euclidean Geometry
  314.    wt: 2:   A Measurement with Ruler Proper Use
  315.    wt: 2:   3 Lengths and Areas on Maps and Plans
  316.    wt: 2:   2 Measuring Area Directly
  317.    wt: 2:   1 Length Measurement
  318.    wt: 2:   About Folder Contents
  319.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  320.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  321.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  322.    wt: 2:   13 GCD from given Prime Factorization
  323.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  324.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  325.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  326.    wt: 2:   8 GCD from Euclidean Algorithm
  327.    wt: 2:   7 GCD and LCM from prime factorization
  328.    wt: 2:   18 Efficient Ways to Multiply
  329.    wt: 2:   17 Efficient Ways to Add and Subtract
  330.    wt: 2:   20 Uniqueness of Prime Factorization
  331.    wt: 2:   19 video Prime Factorization Unique
  332.    wt: 2:   17 Identify and Count Factors using Primes
  333.    wt: 2:   16 video Factors of 980 using prime
  334.    wt: 2:   14 video Factors of 24 Take II
  335.    wt: 2:   13 video Factors of 24 using prime
  336.    wt: 2:   7 Calculator Usage Notes and Cautions
  337.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  338.    wt: 2:   5 Prime Factorization and a Square Rule
  339.    wt: 2:   4 video Prime Factorization Introduction
  340.    wt: 2:   1 video how Products are bigger than factor
  341.    wt: 2:   Chapter 23 Links To Trigonometry
  342.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  343.    wt: 2:   A. Skill has to be seen to believed
  344.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  345.    wt: 1:   Appendix 2 primary school Arithmetic 01
  346.    wt: 1:   Appendix 1 primary and preschool mathematic
  347.    wt: 1:   J LAMP Introduction Extrinsic Origins
  348.    wt: 1:   I LAMP Introduction Study Habits
  349.    wt: 1:   H LAMP Introduction Instructional Concepts
  350.    wt: 1:   G LAMP Introduction Problem Solving Skills
  351.    wt: 1:   F LAMP Introduction Prerequisites
  352.    wt: 1:   E LAMP Introduction Modern Mathematics
  353.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  354.    wt: 1:   A Introduction Objectives
  355.    wt: 1:   Skills Chapter 5 Calculus
  356.    wt: 1:   Skills Chapter 4 Logic
  357.    wt: 1:   Ramblings Extrinsic numbers theory
  358.    wt: 1:   Ramblings Introduction Algebra Essay
  359.    wt: 1:   Skills Chapter 3 Algebra
  360.    wt: 1:   Skills Chapter 2 Geometry
  361.    wt: 1:   Skills Chapter 1 Arithmetic
  362.    wt: 1:   Skills Chapter 0 Introduction
  363.    wt: 1:   3 Like resistors in parallel
  364.    wt: 1:   2 Unlike resistors in parallel01
  365.    wt: 1:   1 Like resistors in series
  366.    wt: 1:   F Unlike Resistors in Series
  367.    wt: 1:   Home Tutoring and Home Schooling
  368.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  369.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  370.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  371.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  372.    wt: 1:   12 Goals and Objectives For Mathematics
  373.    wt: 1:   11 Help and Defend Your Child or Teens Education
  374.    wt: 1:   Ages 12 to 14 Skills with take home value
  375.    wt: 1:   Ages 12 to 14 Geometry
  376.    wt: 1:   Ages 12 to 14 Arithmetic
  377.    wt: 1:   Ages 10 to 12 Geometry
  378.    wt: 1:   Ages 10 to 12 Arithmetic
  379.    wt: 1:   Ages 9 to 10
  380.    wt: 1:   Ages 8 to 9
  381.    wt: 1:   Ages 7 to 8
  382.    wt: 1:   Ages 6 to 7
  383.    wt: 1:   Ages 4 plus to 5 plus
  384.    wt: 1:   Ages 3 plus to 4 plus
  385.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  386.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  387.    wt: 1:   sign monoticity analysis example 4
  388.    wt: 1:   sign monoticity analysis example 3
  389.    wt: 1:   sign monoticity analysis example 2
  390.    wt: 1:   sign monoticity analysis example 1
  391.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  392.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  393.    wt: 1:   3 quadratics factoring by inspection
  394.    wt: 1:   5 Natural Logarithm Calculator Exercises
  395.    wt: 1:   1 Calculator Starter Exercises
  396.    wt: 1:   21 Addition of Multiples of a Single Vector
  397.    wt: 1:   19 Signed Multiples of Vectors
  398.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  399.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  400.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  401.    wt: 1:   15 Head to Tails in place Addition Associative
  402.    wt: 1:   13 Arrows and Vectors in a Plane
  403.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  404.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  405.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  406.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  407.    wt: 1:   4 A Brief Story of numbers and algebra
  408.    wt: 1:   3 Adding Words To Arithmetic
  409.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  410.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  411.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  412.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  413.    wt: 1:   6 GCD from Prime
  414.    wt: 1:   5 Common Divisors 60 45 via Prime
  415.    wt: 1:   4 LCM of 8 and 10 via Prime
  416.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  417.    wt: 1:   2 Least Common Multiple LCM intro via list method
  418.    wt: 1:   1 Least Common Multiples LCM Introduction
  419.    wt: 1:   12 GCD 2700 288 via Prime
  420.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  421.    wt: 1:   4 Counting with Trees Product Rule Take I
  422.    wt: 1:   3 Counting with Tables and Trees II
  423.    wt: 1:   2 Counting with Tables and Trees I
  424.    wt: 1:   1 Counting and Counting Methods I
  425.    wt: 1:   19 Dividing Fractions How TO
  426.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  427.    wt: 1:   14 Adding and Subtracting with Like Denominators
  428.    wt: 1:   12 LCD GCD and LCM using Primes
  429.    wt: 1:   11 Efficient Square Rule Use
  430.    wt: 1:   3 video Primes and Composites from 9 times table
  431.    wt: 1:   2 Prime and Composites less than 16
  432.    wt: 1:   10 Division by Five Long and Short Ways
  433.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  434.    wt: 1:   8 What skills and work habits to require
  435.    wt: 1:   5. How to add decimals C. Examples
  436.    wt: 1:   4. How to add with decimals B with conversions
  437.    wt: 1:   3. How to add with decimals A sans conversions
  438.    wt: 1:   11 Place Value SI Standard International way
  439.    wt: 1:   Quick history of numbers and algebra
  440.    wt: 1:   Formula Evaluation how to show work
  441.    wt: 1:   Expression Evaluation how to show work
  442.    wt: 1:   8 Addition of Time Intervals via subtotaling
  443.    wt: 1:   1 Intro of Kids To Time Date Skills
  444.    wt: 1:   D2 Limits of Monotone Sequences
  445.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  446.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  447.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  448.    wt: 1:   Appendix E. How To Study Mathematics and Why
  449.    wt: 1:   Appendix D. What to do in School and Why
  450.    wt: 1:   Appendix C. How to Read
  451.    wt: 1:   Appendix B. How To Learn
  452.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  453.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  454.    wt: 1:   Annotated Links to Material Elsehwere
  455.    wt: 1:   Postscript B Mathematics Education References
  456.    wt: 1:   Postscript C Consistency as a Tool for Reason
  457.    wt: 1:   Postscript B More on Story Telling and Reason
  458.    wt: 1:   Postscript A Story Telling
  459.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  460.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  461.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  462.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  463.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  464.    wt: 1:   S Adding words to algebra
  465.    wt: 1:   M Words to extend arithmetic
  466.    wt: 1:   H more Routine to non routine problem solving
  467.    wt: 1:   F. The student teacher tutor feedback loop
  468.    wt: 1:   E. When and how to correct errors
  469.    wt: 1:   How to Build Skills and Confidence
  470.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  471.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  472.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  473.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  474.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  475.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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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.

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