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: 3:   LAMP Lean Applied Mathematics Program/
  2.    wt: 3:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 3:   Mathematics Education Essays/
  4.    wt: 3:   9 Lines and Slopes Take 2 with tangent function/
  5.    wt: 2:   Parent Center/
  6.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  7.    wt: 2:   9 Proportionality Backwards and Forwards/
  8.    wt: 2:   2 Formula Forward Use Evaluation/
  9.    wt: 2:   9 Combinatorics Trees Tables and Products/
  10.    wt: 2:   Mathematics Skill Development Framework/
  11.    wt: 1:   Archives/
  12.    wt: 1:   Direct Current Electric Circuits/
  13.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  14.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  15.    wt: 1:   13 Vectors/
  16.    wt: 1:   12 Function Translating and Rescaling/
  17.    wt: 1:   11 Parallel Straight Lines and Transversals/
  18.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  19.    wt: 1:   8 Unit Circle Trigonometry/
  20.    wt: 1:   7 Complex Numbers/
  21.    wt: 1:   6 Trigonometry first steps/
  22.    wt: 1:   5 What is Similarity/
  23.    wt: 1:   4 Lines and Slopes Take 1/
  24.    wt: 1:   3 Cartesian and Polar Coordinates/
  25.    wt: 1:   1 Maps Plans Measurement/
  26.    wt: 1:   Geometry maps plans trigonometry vectors/
  27.    wt: 1:   8 Unifying Theme For Algebra/
  28.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  29.    wt: 1:   Volume 2 Three Skills For Algebra/
  30.    wt: 1:   Work and Study Tips/

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241 matches:

  1.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  2.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  3.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  4.    wt: 2:   Applied Maths Program14092009 POMME variant
  5.    wt: 2:   formal or informal peer review
  6.    wt: 2:   Prequel In For A Penny In For A Pound
  7.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  8.    wt: 2:   5 Function notation for geometric transformations
  9.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  10.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  11.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  12.    wt: 2:   9 motivation for name arcsin
  13.    wt: 2:   29 secant cosecant and cotangent for acute angles
  14.    wt: 2:   26 Formulas for products of sines and cosines
  15.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  16.    wt: 2:   17E Trig Formulas for dot and cross Products
  17.    wt: 2:   17D cis formulas for sine cosines and tangent
  18.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  19.    wt: 2:   13 Trig Formulas for dot and cross Products
  20.    wt: 2:   12 cis formulas for sine cosines and tangent
  21.    wt: 2:   4 Equations for lines three forms
  22.    wt: 2:   9 Coordinates for Regions in Space
  23.    wt: 2:   Formula Usage Show Work Format
  24.    wt: 2:   1 Written work formats for developing and showing skill
  25.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  26.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  27.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  28.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  29.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  30.    wt: 2:   9 video Prime Factorization upto 19 squared
  31.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  32.    wt: 2:   38 Formulas and derivatives for powers and roots
  33.    wt: 2:   19 Chain Rule for linear functions
  34.    wt: 2:   Postscript For Better Performance
  35.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  36.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  37.    wt: 2:   G. Written work formats for developing and showing skill
  38.    wt: 1:   Skills Chapter 2 Geometry
  39.    wt: 1:   9 combinatorics probability sets
  40.    wt: 1:   8 analytic geometry etc
  41.    wt: 1:   3 Euclidean Geometry Leanly
  42.    wt: 1:   three goals to set for students
  43.    wt: 1:   permissions for teachers
  44.    wt: 1:   activities for students
  45.    wt: 1:   Education Reform Inconsistencies
  46.    wt: 1:   geometric implications for algebra
  47.    wt: 1:   three goals for Mathematics Education
  48.    wt: 1:   04 29 New Mathematics Curriculum
  49.    wt: 1:   02 21 words for teachers
  50.    wt: 1:   three aims for mathematics students
  51.    wt: 1:   standards for course material
  52.    wt: 1:   Four ways to improve education reform
  53.    wt: 1:   need for a mixed mathematics curriculum
  54.    wt: 1:   fairness and inductive principles for instruction
  55.    wt: 1:   words for mathematics instructor
  56.    wt: 1:   chapitre 04 09 Regles accidentelles
  57.    wt: 1:   4 Energy Power Heat09
  58.    wt: 1:   C Electromotive force conventional current02
  59.    wt: 1:   B Electromotive force conventional current01
  60.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  61.    wt: 1:   24 Standards For Skill Develoment Take II
  62.    wt: 1:   24 Standards For Skill Develoment
  63.    wt: 1:   22 Student Centered Highschool Mathematics
  64.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  65.    wt: 1:   17 Math Booklets for children and young teenagers
  66.    wt: 1:   15 Counting For Parents
  67.    wt: 1:   12 Goals and Objectives For Mathematics
  68.    wt: 1:   10 Ends values for work study instruction
  69.    wt: 1:   9 Streaming by Student Cooperation
  70.    wt: 1:   5 Patience Please for Yourself and Your Charges
  71.    wt: 1:   4 Learning Takes Time and Effort
  72.    wt: 1:   3 Preparing for Science Studies
  73.    wt: 1:   Ages 12 to 14 Geometry
  74.    wt: 1:   Ages 10 to 12 Geometry
  75.    wt: 1:   Ages 9 to 10
  76.    wt: 1:   Ages 8 to 9
  77.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  78.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  79.    wt: 1:   19 Horizontal line rule and method
  80.    wt: 1:   9 Set theory term relation possible origins
  81.    wt: 1:   6 Set Existence Formation and Notation
  82.    wt: 1:   3 Formula or function graphing exercise
  83.    wt: 1:   Introduction Reading Guide
  84.    wt: 1:   9 quadratics physical and further context
  85.    wt: 1:   8 quadratics backward use of various formulas
  86.    wt: 1:   7 quadratic formulla derivation
  87.    wt: 1:   8 Notes for instructors or tutors
  88.    wt: 1:   12 motivation for term arctan
  89.    wt: 1:   4 possible motivation for term arccos
  90.    wt: 1:   9 Summary Degrees to Radians and back
  91.    wt: 1:   9 Head to Tail Coordinate View
  92.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  93.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  94.    wt: 1:   9 Straight Lines through Origin Equations
  95.    wt: 1:   8 Straight Lines Equation for vertical
  96.    wt: 1:   17 tangent function angle sum formulas
  97.    wt: 1:   25 tangent double angle formula Slope connection
  98.    wt: 1:   24 tangent Angle Difference Formula
  99.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  100.    wt: 1:   21 sine and cosine Half Angle Formulas
  101.    wt: 1:   20 sine and cosine Double Angle Formulas
  102.    wt: 1:   17C sine and cosine double triple angle formulas
  103.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  104.    wt: 1:   12 Graph of tangent function for one period
  105.    wt: 1:   9 Graphs of sine and cosine over one period
  106.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  107.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  108.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  109.    wt: 1:   19 N th Roots of Unity
  110.    wt: 1:   11 sine and cosine double triple angle formulas
  111.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  112.    wt: 1:   9 The complex number valued trig function cis
  113.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  114.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  115.    wt: 1:   9 Similarity of Triangles Usual Criteria
  116.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  117.    wt: 1:   8 Mid Point Formula
  118.    wt: 1:   3 Slope product for perpendicular lines
  119.    wt: 1:   2 point slope equation for a line
  120.    wt: 1:   13 Pythagorean spatial distance formulas
  121.    wt: 1:   10 Pythagorean plane distance formula
  122.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  123.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  124.    wt: 1:   PS H Distributive Law For Complex Numbers
  125.    wt: 1:   19 Right Triangle Similarity
  126.    wt: 1:   9 Construction of a right bisector
  127.    wt: 1:   Short Course on Euclidean Geometry
  128.    wt: 1:   19 Signed Multiples of Vectors
  129.    wt: 1:   9 Division with Digits after Decimal Point
  130.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  131.    wt: 1:   6 Column Methods for Decimal Multiplication
  132.    wt: 1:   5 Distributive Law for Whole Numbers
  133.    wt: 1:   4 Commutative Law Groups Counting Form
  134.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  135.    wt: 1:   6 Compound Interest Forward and Backwards
  136.    wt: 1:   5 Triangle Area Formula Backwards
  137.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  138.    wt: 1:   3 Product Axioms Two Forms
  139.    wt: 1:   2 More and Less Than for Counts and Measures
  140.    wt: 1:   8 Coordinates for Maps and Planes
  141.    wt: 1:   3 Geometric Formulas and Function Notation
  142.    wt: 1:   1 Formulas Dependence and Function Notation
  143.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  144.    wt: 1:   9 Three Examples
  145.    wt: 1:   Using Letters for Physical Quantities
  146.    wt: 1:   13 Naming Identifying Formulas with Words
  147.    wt: 1:   9 Volume of Cone
  148.    wt: 1:   8 Compound Interest Formula Evaluation
  149.    wt: 1:   7 Compound Interest Formula Introduction
  150.    wt: 1:   5 Box Volume Formula Example
  151.    wt: 1:   4 Circle Area Formula Example
  152.    wt: 1:   3 Triangle Area Formula Example
  153.    wt: 1:   2 Another Rectangle Area Formula Example
  154.    wt: 1:   9 Sets in Probability and Statistics
  155.    wt: 1:   1 Three Skills For Algebra
  156.    wt: 1:   arithmetic videos Real Player Format
  157.    wt: 1:   1 More and Less Than for Counts and Measures
  158.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  159.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  160.    wt: 1:   9 subtracting signed numbers
  161.    wt: 1:   4 signed coordinates for regions in space
  162.    wt: 1:   3 signed coordinates for maps and planes
  163.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  164.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  165.    wt: 1:   21 Reciprocals for Fractions and Wholes
  166.    wt: 1:   19 Dividing Fractions How TO
  167.    wt: 1:   9 Improper Fractions and Mixed Numbers
  168.    wt: 1:   11 Adding Integers Formulas and Examples
  169.    wt: 1:   10 Integer Multiplication Formulas
  170.    wt: 1:   9 Multiplying Integers
  171.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  172.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  173.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  174.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  175.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  176.    wt: 1:   19 video Prime Factorization Unique
  177.    wt: 1:   16 video Factors of 980 using prime
  178.    wt: 1:   8 video Prime Factorization upto 19
  179.    wt: 1:   3 video Primes and Composites from 9 times table
  180.    wt: 1:   Long Division forwards and backwards Example 3
  181.    wt: 1:   Long Division forwards and backwards Example 2
  182.    wt: 1:   Long Division forwards and backwards Example 1
  183.    wt: 1:   9 Why Long Division Works Take II
  184.    wt: 1:   A Elementary Basis for Multiplication Methods
  185.    wt: 1:   9 22 Minute Subtraction Review Video
  186.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  187.    wt: 1:   5 A Tip for Efficent Subtraction
  188.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  189.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  190.    wt: 1:   Formula Evaluation how to show work
  191.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  192.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  193.    wt: 1:   29 Chain Rule Optional Reading
  194.    wt: 1:   28 Chain Rule Preparation for a Proof
  195.    wt: 1:   22 Chain Rule for polynomials
  196.    wt: 1:   21 Chain Rule for powers
  197.    wt: 1:   20 Chain Rule for Pulley Systems
  198.    wt: 1:   10 Power rule for negative integers
  199.    wt: 1:   9 Reciprocal rule
  200.    wt: 1:   3 Motivation for Limit Definition Take 2
  201.    wt: 1:   2 Motivation for Limit Definition Take 1
  202.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  203.    wt: 1:   9 Limits Continuity and Composition
  204.    wt: 1:   3 Decimal insights for limits continuity convergence
  205.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  206.    wt: 1:   PostScript For and Against Decimal Perspectives
  207.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  208.    wt: 1:   Chapter 9 About First Courses in Calculus
  209.    wt: 1:   Fall 1983 Calculus Appetizer
  210.    wt: 1:   Foreword
  211.    wt: 1:   Postscript More on Better Performance
  212.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  213.    wt: 1:   Chapter 23. Notation For Sums
  214.    wt: 1:   Chapter 21. Third Reading Guide
  215.    wt: 1:   Chapter 19. Functions and Sets
  216.    wt: 1:   Chapter 18. Rules for Algebra
  217.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  218.    wt: 1:   Chapter 13. Second Reading Guide
  219.    wt: 1:   Chapter 12. Shorthand Usage Guide
  220.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  221.    wt: 1:   Chapter 8 Three Skills For Algebra
  222.    wt: 1:   Solutions For Arithmetic Exercises
  223.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  224.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  225.    wt: 1:   Foreword
  226.    wt: 1:   Chapter 9 The Two Ends
  227.    wt: 1:   Chapter 7 Two Treatments of Geometry
  228.    wt: 1:   Chapter 2 For and Against Mathematics
  229.    wt: 1:   Foreword
  230.    wt: 1:   Postscript C Consistency as a Tool for Reason
  231.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  232.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  233.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  234.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  235.    wt: 1:   Foreword
  236.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  237.    wt: 1:   N Mathematics Prepare for College Studies
  238.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  239.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  240.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  241.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

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654 matches:

  1.    wt: 5:   9 combinatorics probability sets
  2.    wt: 5:   Applied Maths Program14092009 POMME variant
  3.    wt: 5:   formal or informal peer review
  4.    wt: 5:   Prequel In For A Penny In For A Pound
  5.    wt: 5:   8 Straight Lines Equation for vertical
  6.    wt: 5:   arithmetic videos Real Player Format
  7.    wt: 5:   1 Links to Online Resources Elsewhere Take 1
  8.    wt: 4:   Appendix 2 primary school Arithmetic 01
  9.    wt: 4:   Appendix 1 primary and preschool mathematic
  10.    wt: 4:   Skills Chapter 2 Geometry
  11.    wt: 4:   8 analytic geometry etc
  12.    wt: 4:   3 Euclidean Geometry Leanly
  13.    wt: 4:   three goals to set for students
  14.    wt: 4:   permissions for teachers
  15.    wt: 4:   activities for students
  16.    wt: 4:   mathematics in context
  17.    wt: 4:   Education Reform Inconsistencies
  18.    wt: 4:   Secondary One Mathematics
  19.    wt: 4:   geometric implications for algebra
  20.    wt: 4:   three goals for Mathematics Education
  21.    wt: 4:   04 29 New Mathematics Curriculum
  22.    wt: 4:   02 21 words for teachers
  23.    wt: 4:   three aims for mathematics students
  24.    wt: 4:   standards for course material
  25.    wt: 4:   Four ways to improve education reform
  26.    wt: 4:   How to be a better instructor
  27.    wt: 4:   need for a mixed mathematics curriculum
  28.    wt: 4:   fairness and inductive principles for instruction
  29.    wt: 4:   words for mathematics instructor
  30.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  31.    wt: 4:   9 Streaming by Student Cooperation
  32.    wt: 4:   9 Formulas for Real Exponents with Logarithms
  33.    wt: 4:   9 Straight Lines through Origin Equations
  34.    wt: 4:   1 Straight Lines Slope Concept
  35.    wt: 4:   19 Right Triangle Similarity
  36.    wt: 4:   9 Construction of a right bisector
  37.    wt: 4:   musings do not puiblish real numbers
  38.    wt: 4:   9 Circle Area and Perimeter Formula Backwards Forwards
  39.    wt: 4:   1 Written work formats for developing and showing skill
  40.    wt: 4:   A Related lessons in Volume 3
  41.    wt: 4:   Postscript One Sided and Intermediate Value Theorems
  42.    wt: 4:   Postscript Unifying Theme A Fourth Skill For Algebra
  43.    wt: 4:   Ends Values Methods For Skill Development Framework Prequel
  44.    wt: 3:   K LAMP Musings Science Education
  45.    wt: 3:   J LAMP Introduction Extrinsic Origins
  46.    wt: 3:   I LAMP Introduction Study Habits
  47.    wt: 3:   H LAMP Introduction Instructional Concepts
  48.    wt: 3:   G LAMP Introduction Problem Solving Skills
  49.    wt: 3:   F LAMP Introduction Prerequisites
  50.    wt: 3:   E LAMP Introduction Modern Mathematics
  51.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  52.    wt: 3:   B LAMP Introduction Curriculum Development Standards
  53.    wt: 3:   A Introduction Objectives
  54.    wt: 3:   Skills Chapter 5 Calculus
  55.    wt: 3:   Skills Chapter 4 Logic
  56.    wt: 3:   Ramblings Extrinsic numbers theory
  57.    wt: 3:   Ramblings Introduction Algebra Essay
  58.    wt: 3:   Skills Chapter 3 Algebra
  59.    wt: 3:   Skills Chapter 1 Arithmetic
  60.    wt: 3:   Skills Chapter 0 Introduction
  61.    wt: 3:   11 pure mathematics
  62.    wt: 3:   10 statistics
  63.    wt: 3:   7 logic review and decimals an odd combination
  64.    wt: 3:   6 polynomials etc
  65.    wt: 3:   5 logarithms and exponentials etc
  66.    wt: 3:   4 algebra
  67.    wt: 3:   2 arithmetic with signed numbers
  68.    wt: 3:   1 arithmetic with unsigned numbers
  69.    wt: 3:   What is POMME
  70.    wt: 3:   why bother
  71.    wt: 3:   which way to go
  72.    wt: 3:   website reviews
  73.    wt: 3:   Teach the teachers plus goals
  74.    wt: 3:   Math Ed if it must be short make it lean effective
  75.    wt: 3:   links Education Resources online
  76.    wt: 3:   site origins
  77.    wt: 3:   site eurekas
  78.    wt: 3:   About site lesson plans
  79.    wt: 3:   key notes and themes
  80.    wt: 3:   Mathematics Education Professors
  81.    wt: 3:   teacher certification
  82.    wt: 3:   modern education
  83.    wt: 3:   learning takes time
  84.    wt: 3:   grouping students according to ability
  85.    wt: 3:   what should be learnt and When
  86.    wt: 3:   Postscript 2007 01 10
  87.    wt: 3:   five decades make a difference
  88.    wt: 3:   Maps Plans Drawings
  89.    wt: 3:   how letters appear
  90.    wt: 3:   Secondary Three Mathematics
  91.    wt: 3:   Secondary Two Mathematics
  92.    wt: 3:   talk the algebra talk
  93.    wt: 3:   three difficulties
  94.    wt: 3:   teaching tips
  95.    wt: 3:   What to Tell Students
  96.    wt: 3:   mathematics curriculum shifts
  97.    wt: 3:   teaching tutoring algebraic reason
  98.    wt: 3:   Lessening Algebra Difficulties
  99.    wt: 3:   the trouble with algebra
  100.    wt: 3:   05 13 OldSiteEntrancePage
  101.    wt: 3:   04 25 when to stop or suspend mathemat
  102.    wt: 3:   02 20 mathematics education references
  103.    wt: 3:   Operational Viewpoint to Value
  104.    wt: 3:   Theory of Knowledge
  105.    wt: 3:   mathematics instruction in general
  106.    wt: 3:   Education in mathematics science and technology
  107.    wt: 3:   Different Kinds of Reasoning in maths
  108.    wt: 3:   three kinds of reason in mathematics
  109.    wt: 3:   cultivating intelligence
  110.    wt: 3:   Motivation and Context Problem
  111.    wt: 3:   Leaner mathematics curriculum
  112.    wt: 3:   education an empirical art
  113.    wt: 3:   4 Energy Power Heat09
  114.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  115.    wt: 3:   24 Standards For Skill Develoment Take II
  116.    wt: 3:   24 Standards For Skill Develoment
  117.    wt: 3:   22 Student Centered Highschool Mathematics
  118.    wt: 3:   17 Math Booklets for children and young teenagers
  119.    wt: 3:   15 Counting For Parents
  120.    wt: 3:   12 Goals and Objectives For Mathematics
  121.    wt: 3:   10 Ends values for work study instruction
  122.    wt: 3:   5 Patience Please for Yourself and Your Charges
  123.    wt: 3:   4 Learning Takes Time and Effort
  124.    wt: 3:   3 Preparing for Science Studies
  125.    wt: 3:   9 motivation for name arcsin
  126.    wt: 3:   8 Radian Measures of Common Angles
  127.    wt: 3:   9 Head to Tail Coordinate View
  128.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  129.    wt: 3:   C Straight Lines Slope from Coordinates
  130.    wt: 3:   B Straight Line Slope Scaling Properties More
  131.    wt: 3:   A Straight Line Slope Scaling Properties
  132.    wt: 3:   14 Straight Lines Equations General Case
  133.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  134.    wt: 3:   12 Straight Lines Graphing mx plus b
  135.    wt: 3:   11 Straight Lines Graphing y=mx
  136.    wt: 3:   10 Straight Lines through Origin Equations More
  137.    wt: 3:   7 Tangent Function is odd on this domain
  138.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  139.    wt: 3:   5 Tangent Function Graph
  140.    wt: 3:   4 Tangent Function Properties
  141.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  142.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  143.    wt: 3:   29 secant cosecant and cotangent for acute angles
  144.    wt: 3:   26 Formulas for products of sines and cosines
  145.    wt: 3:   20 sine and cosine Double Angle Formulas
  146.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  147.    wt: 3:   17E Trig Formulas for dot and cross Products
  148.    wt: 3:   17D cis formulas for sine cosines and tangent
  149.    wt: 3:   12 Graph of tangent function for one period
  150.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  151.    wt: 3:   2 Quadrant I reference Angles
  152.    wt: 3:   1 Unit Points Reflections Rotations
  153.    wt: 3:   19 N th Roots of Unity
  154.    wt: 3:   13 Trig Formulas for dot and cross Products
  155.    wt: 3:   12 cis formulas for sine cosines and tangent
  156.    wt: 3:   9 The complex number valued trig function cis
  157.    wt: 3:   9 Similarity of Triangles Usual Criteria
  158.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  159.    wt: 3:   4 Equations for lines three forms
  160.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  161.    wt: 3:   Euclidean Geometry Elsewhere LINKS
  162.    wt: 3:   PS H Distributive Law For Complex Numbers
  163.    wt: 3:   Short Course on Euclidean Geometry
  164.    wt: 3:   13 Naming Identifying Formulas with Words
  165.    wt: 3:   9 Volume of Cone
  166.    wt: 3:   8 Compound Interest Formula Evaluation
  167.    wt: 3:   7 Compound Interest Formula Introduction
  168.    wt: 3:   5 Box Volume Formula Example
  169.    wt: 3:   4 Circle Area Formula Example
  170.    wt: 3:   3 Triangle Area Formula Example
  171.    wt: 3:   2 Another Rectangle Area Formula Example
  172.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  173.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  174.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  175.    wt: 3:   9 video Prime Factorization upto 19 squared
  176.    wt: 3:   38 Formulas and derivatives for powers and roots
  177.    wt: 3:   Postscript For Better Performance
  178.    wt: 3:   Appendix A. Reading Guide For Next Appendices
  179.    wt: 3:   Chapter 29 Contrapositive and Vacuously True Implications
  180.    wt: 3:   Chapter 19. Functions and Sets
  181.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  182.    wt: 3:   Chapter 9 Talking about Numbers or Quantities
  183.    wt: 3:   G. Written work formats for developing and showing skill
  184.    wt: 3:   Helping the Blind in Logic and Mathematics
  185.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  186.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  187.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  188.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  189.    wt: 2:   1 Conductance Resistance Duality01
  190.    wt: 2:   H Series Circuit02
  191.    wt: 2:   C Electromotive force conventional current02
  192.    wt: 2:   B Electromotive force conventional current01
  193.    wt: 2:   Home Tutoring and Home Schooling
  194.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  195.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  196.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  197.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  198.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  199.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  200.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  201.    wt: 2:   18 Primary School Mathematics
  202.    wt: 2:   16 Secondary Mathematics Tips
  203.    wt: 2:   14 Multiplication and Times Tables
  204.    wt: 2:   13 Addition and Addition Tables
  205.    wt: 2:   11 Help and Defend Your Child or Teens Education
  206.    wt: 2:   8 The Effect of Negative Remarks
  207.    wt: 2:   7 Student Motivation
  208.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  209.    wt: 2:   2 Reading and Writing Skills
  210.    wt: 2:   1 Speaking Skills
  211.    wt: 2:   Ages 9 to 10
  212.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  213.    wt: 2:   19 Horizontal line rule and method
  214.    wt: 2:   9 Set theory term relation possible origins
  215.    wt: 2:   5 Function notation for geometric transformations
  216.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  217.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  218.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  219.    wt: 2:   12 motivation for term arctan
  220.    wt: 2:   4 possible motivation for term arccos
  221.    wt: 2:   9 Summary Degrees to Radians and back
  222.    wt: 2:   7 Radian Measures in special Triangles
  223.    wt: 2:   6 Radian Measure to Degrees
  224.    wt: 2:   5 Degrees to Radian Measure
  225.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  226.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  227.    wt: 2:   2 Radian Measure Numerical Value of one degree
  228.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  229.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  230.    wt: 2:   Straight Lines Intersection of
  231.    wt: 2:   17 tangent function angle sum formulas
  232.    wt: 2:   30 unit circle calculation of six trigonometric functions
  233.    wt: 2:   25 tangent double angle formula Slope connection
  234.    wt: 2:   24 tangent Angle Difference Formula
  235.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  236.    wt: 2:   21 sine and cosine Half Angle Formulas
  237.    wt: 2:   17C sine and cosine double triple angle formulas
  238.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  239.    wt: 2:   9 Graphs of sine and cosine over one period
  240.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  241.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  242.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  243.    wt: 2:   11 sine and cosine double triple angle formulas
  244.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  245.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  246.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  247.    wt: 2:   1 Early Concept of Like or Similar Shapes
  248.    wt: 2:   8 Mid Point Formula
  249.    wt: 2:   3 Slope product for perpendicular lines
  250.    wt: 2:   2 point slope equation for a line
  251.    wt: 2:   13 Pythagorean spatial distance formulas
  252.    wt: 2:   10 Pythagorean plane distance formula
  253.    wt: 2:   PS G Rotation Distributes over Addition
  254.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  255.    wt: 2:   PS E Multiplication with Polar Coordinates
  256.    wt: 2:   PS D Addition with Cartesian Coordinates
  257.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  258.    wt: 2:   PS B Parallelogram Construction Methods
  259.    wt: 2:   PS A Kite Construction Methods
  260.    wt: 2:   21 Parallelograms
  261.    wt: 2:   18 Triangle Similarity Take 1
  262.    wt: 2:   17 Right Bisectors of Triangle Sides
  263.    wt: 2:   16 Angles Subtended By Chords and Diameters
  264.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  265.    wt: 2:   14 Parallel Lines Postulate
  266.    wt: 2:   13 Angle Side Angle Failure
  267.    wt: 2:   12 Side Angle Side Failure
  268.    wt: 2:   11 Triangle Construction Fails
  269.    wt: 2:   10 Dropping a perpendicular to line
  270.    wt: 2:   8 Isoceles Triangles
  271.    wt: 2:   7 Angle Side Angle
  272.    wt: 2:   6 Ruler and compass Angle Bisection
  273.    wt: 2:   5 Side Angle Side
  274.    wt: 2:   4 Side Side Side
  275.    wt: 2:   3 Isometry of Triangles Congruence
  276.    wt: 2:   2 Correspondence between Triangles
  277.    wt: 2:   1 Initial Concepts and Terms
  278.    wt: 2:   5 Proportionality in Equivalent Fractions
  279.    wt: 2:   4 Rates Ratios and Proporitionality
  280.    wt: 2:   3 Proportionality Examples
  281.    wt: 2:   2 Algebraic View
  282.    wt: 2:   1 What is Proportionality
  283.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  284.    wt: 2:   6 Compound Interest Forward and Backwards
  285.    wt: 2:   5 Triangle Area Formula Backwards
  286.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  287.    wt: 2:   9 Coordinates for Regions in Space
  288.    wt: 2:   Simple Exercises
  289.    wt: 2:   9 Three Examples
  290.    wt: 2:   Formula Usage Show Work Format
  291.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  292.    wt: 2:   11 Volume of Sphere
  293.    wt: 2:   10 Volume of Pyramid
  294.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  295.    wt: 2:   4 Counting with Trees Product Rule Take I
  296.    wt: 2:   3 Counting with Tables and Trees II
  297.    wt: 2:   2 Counting with Tables and Trees I
  298.    wt: 2:   1 Counting and Counting Methods I
  299.    wt: 2:   9 subtracting signed numbers
  300.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  301.    wt: 2:   9 Multiplying Integers
  302.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  303.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  304.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  305.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  306.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  307.    wt: 2:   19 video Prime Factorization Unique
  308.    wt: 2:   Long Division forwards and backwards Example 1
  309.    wt: 2:   9 Why Long Division Works Take II
  310.    wt: 2:   9 22 Minute Subtraction Review Video
  311.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  312.    wt: 2:   19 Chain Rule for linear functions
  313.    wt: 2:   2 Motivation for Limit Definition Take 1
  314.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  315.    wt: 2:   Chapter 9 About First Courses in Calculus
  316.    wt: 2:   Postscript More on Better Performance
  317.    wt: 2:   Chapter 23. Notation For Sums
  318.    wt: 2:   Chapter 21. Third Reading Guide
  319.    wt: 2:   Chapter 18. Rules for Algebra
  320.    wt: 2:   Chapter 13. Second Reading Guide
  321.    wt: 2:   Chapter 12. Shorthand Usage Guide
  322.    wt: 2:   Postscript What is a Variable
  323.    wt: 2:   Chapter 8 Three Skills For Algebra
  324.    wt: 2:   Solutions For Arithmetic Exercises
  325.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  326.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  327.    wt: 2:   Foreword
  328.    wt: 2:   Chapter 9 The Two Ends
  329.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  330.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  331.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  332.    wt: 2:   S Adding words to algebra
  333.    wt: 2:   N Mathematics Prepare for College Studies
  334.    wt: 2:   I. Logic and language skills
  335.    wt: 2:   Implementation Notes
  336.    wt: 2:   More Algebra and Slope based Calculus Preview
  337.    wt: 2:   Systematic Algebra Skill Development Missing Links
  338.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  339.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  340.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  341.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  342.    wt: 2:   Which Way To Go
  343.    wt: 1:   chapitre 04 09 Regles accidentelles
  344.    wt: 1:   3 Energy Power Heat08
  345.    wt: 1:   2 Energy Power Heat07
  346.    wt: 1:   1 Energy Power Heat06
  347.    wt: 1:   E Energy Power05
  348.    wt: 1:   D Energy Power04
  349.    wt: 1:   C Energy Power03
  350.    wt: 1:   B Energy Power02
  351.    wt: 1:   A Energy Power01
  352.    wt: 1:   2 Conductance Resistance Duality02
  353.    wt: 1:   F Wire Resistance Calculation04
  354.    wt: 1:   E Wire Resistance Calculation03
  355.    wt: 1:   D Wire Resistance Calculation02
  356.    wt: 1:   C Wire Resistance Calculation01
  357.    wt: 1:   B Wire Resistance Qualitative02
  358.    wt: 1:   A Wire Resistance Qualitative01
  359.    wt: 1:   3 Like resistors in parallel
  360.    wt: 1:   2 Unlike resistors in parallel01
  361.    wt: 1:   1 Like resistors in series
  362.    wt: 1:   G Series Circuit01
  363.    wt: 1:   F Unlike Resistors in Series
  364.    wt: 1:   E Kirchoffs Second Law
  365.    wt: 1:   D Kirchoff First Law
  366.    wt: 1:   A Circuit Elements
  367.    wt: 1:   Ages 12 to 14 Geometry
  368.    wt: 1:   Ages 10 to 12 Geometry
  369.    wt: 1:   Ages 8 to 9
  370.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  371.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  372.    wt: 1:   sign monoticity analysis example 4
  373.    wt: 1:   sign monoticity analysis example 3
  374.    wt: 1:   sign monoticity analysis example 2
  375.    wt: 1:   sign monoticity analysis example 1
  376.    wt: 1:   6 Set Existence Formation and Notation
  377.    wt: 1:   3 Formula or function graphing exercise
  378.    wt: 1:   Introduction Reading Guide
  379.    wt: 1:   9 quadratics physical and further context
  380.    wt: 1:   8 quadratics backward use of various formulas
  381.    wt: 1:   7 quadratic formulla derivation
  382.    wt: 1:   8 Notes for instructors or tutors
  383.    wt: 1:   16 cotangent function Definition Graph and Inverse
  384.    wt: 1:   15 cosecant function Definition Graph and Inverse
  385.    wt: 1:   14 secant function Definition Graph and Inverse
  386.    wt: 1:   13 cosecant function Definition Graph and Inverse
  387.    wt: 1:   11 arctan left inverse of tangent Graph
  388.    wt: 1:   10 arctan left inverse of tangent Definition
  389.    wt: 1:   8 arcsin left inverse of sine Graph
  390.    wt: 1:   7 arcsin left inverse of sine Definition
  391.    wt: 1:   6 Graph of arccos function
  392.    wt: 1:   5 Swapping Coordinates is a reflection
  393.    wt: 1:   3 Left Inverse of cosine arccos definition
  394.    wt: 1:   2 cosine function more properties
  395.    wt: 1:   1 cosine function properties
  396.    wt: 1:   1 Degrees and Radians Introduction
  397.    wt: 1:   A Global Time and Navigation
  398.    wt: 1:   15 Dot and Cross Product
  399.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  400.    wt: 1:   13 Velocity Vectors in Physics
  401.    wt: 1:   12 From Applied To Pure Mathematics
  402.    wt: 1:   11 Component Method
  403.    wt: 1:   10 Parallelogram Addition Method
  404.    wt: 1:   8 Parallel Vectors
  405.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  406.    wt: 1:   6 Vectors with Coordinates
  407.    wt: 1:   5 Head To Tail Arrow Addition
  408.    wt: 1:   4 Resultant of a Sum of Movements
  409.    wt: 1:   3 Navigation with Arrows or Vectors
  410.    wt: 1:   2 Signed Coordinates
  411.    wt: 1:   1 Unsigned Coordinates
  412.    wt: 1:   Vector and Complex Number Applet
  413.    wt: 1:   4 graphing y=Asin(x c)
  414.    wt: 1:   3 graphing y=f(x c) plus K
  415.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  416.    wt: 1:   1 graphing y=f(x a)
  417.    wt: 1:   Parallel Lines and Parallel Transversals
  418.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  419.    wt: 1:   Triangle Angles Sum To 180 Degrees
  420.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  421.    wt: 1:   Parallel Lines and Interior Angles
  422.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  423.    wt: 1:   Straight Lines ASA Intersection Study More
  424.    wt: 1:   Straight Lines ASA Intersection Study
  425.    wt: 1:   Straight Lines Instersection Solving Equations
  426.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  427.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  428.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  429.    wt: 1:   32 seven rows of pascals triangle
  430.    wt: 1:   31 basic secant cosecant cotangent trig identities
  431.    wt: 1:   28 Expressing products of sines cosines as sums
  432.    wt: 1:   27 Logarithmic use of products of sines and cosines
  433.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  434.    wt: 1:   18 sum of sinusoidal waves as a single wave
  435.    wt: 1:   17G Pythagorean Theorem Converse
  436.    wt: 1:   17F Law of cosines
  437.    wt: 1:   17A The complex number valued trig function cis
  438.    wt: 1:   16 Right Triangle Complementary Angle Relations
  439.    wt: 1:   15 sine cosine Complementary Angle Relations
  440.    wt: 1:   14 cosine even and sine and tangent are odd
  441.    wt: 1:   13 Graph of tangent function many periods
  442.    wt: 1:   11 tangent function undefined when terminal side vertical
  443.    wt: 1:   10 Graphs of sines and cosines many periods
  444.    wt: 1:   8 period of tangent function
  445.    wt: 1:   7 period of sine and cosine
  446.    wt: 1:   Unit Circle Development of Trigonometry
  447.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  448.    wt: 1:   21 Logarithms Powers and Exponentials
  449.    wt: 1:   20 N th Roots of Complex Numbers
  450.    wt: 1:   18 Sixth Roots of Unity
  451.    wt: 1:   17 Cube Roots of unity
  452.    wt: 1:   16 References and Originality Question
  453.    wt: 1:   15 Pythagorean Theorem Converse
  454.    wt: 1:   14 Law of cosines
  455.    wt: 1:   8 Unit Circle Development of Trigonometry
  456.    wt: 1:   7 Second Way to Calculate Products
  457.    wt: 1:   6 Field Properties of Complex Number
  458.    wt: 1:   5 An Easy Proof of the Distributive Law
  459.    wt: 1:   4 Multiplication Properties
  460.    wt: 1:   3 Addition Properties
  461.    wt: 1:   2 Complex Numbers made easier we hope
  462.    wt: 1:   1 Rectangular Polar Coordinates Review
  463.    wt: 1:   Appetizer A Complex Number Applet
  464.    wt: 1:   8 Triangles Cascade Problem Solving
  465.    wt: 1:   7 Trignometric Ratios Unit Circle
  466.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  467.    wt: 1:   3 Trigonometric Ratios sine and cosine
  468.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  469.    wt: 1:   1 Angle Measurement with Degrees
  470.    wt: 1:   Why Trigonometry the whyslopes view
  471.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  472.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  473.    wt: 1:   12 Triangles Similarity More Problems
  474.    wt: 1:   11 Triangle Similarity Missing Side Problem
  475.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  476.    wt: 1:   8 Similarity of Triangles and Polygons
  477.    wt: 1:   7 Translations Rotations Reflections Dilatations
  478.    wt: 1:   6 Geometric Diagrams in Class
  479.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  480.    wt: 1:   4 Similarity Definition with Coordinate
  481.    wt: 1:   3 Similarity by Design with coordinates
  482.    wt: 1:   2 Similarity By Design
  483.    wt: 1:   Four Simple Exercises
  484.    wt: 1:   12 Links Lessons elsewhere
  485.    wt: 1:   11 A Partial Summary
  486.    wt: 1:   10 Midpoint of [a b] and [b a]
  487.    wt: 1:   7 Exercises to test skill and concept mastery
  488.    wt: 1:   6 Intersection of lines by solving linear systems
  489.    wt: 1:   5 Algebraic View of Slopes
  490.    wt: 1:   1 Numerical view of lines and their equations
  491.    wt: 1:   What is and is not here
  492.    wt: 1:   12 Spatial Coordinates
  493.    wt: 1:   11 Triangle Inequality
  494.    wt: 1:   8 Distance Between Points on a Line
  495.    wt: 1:   7 Complex Numbers Appetizer
  496.    wt: 1:   6 Polar Multiplication and Rotation
  497.    wt: 1:   5 Cartesian Addition and Translation
  498.    wt: 1:   4 Polar Coordinates to and from
  499.    wt: 1:   3 Rectangular Coordinates Review
  500.    wt: 1:   2 Cartesian Coordinates with signs
  501.    wt: 1:   1 Cartesian Coordinates sans signs
  502.    wt: 1:   A Measurement with Ruler Proper Use
  503.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  504.    wt: 1:   6 Figuring with Maps Not to Scale
  505.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  506.    wt: 1:   4 Angles on Maps Plans drawn to scale
  507.    wt: 1:   3 Lengths and Areas on Maps and Plans
  508.    wt: 1:   2 Measuring Area Directly
  509.    wt: 1:   1 Length Measurement
  510.    wt: 1:   About Folder Contents
  511.    wt: 1:   A Signed Number Arithmetic Review
  512.    wt: 1:   19 Signed Multiples of Vectors
  513.    wt: 1:   9 Division with Digits after Decimal Point
  514.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  515.    wt: 1:   E Long Division Methods more
  516.    wt: 1:   D Long Division Methods
  517.    wt: 1:   C Three Decimal Subtraction Methods
  518.    wt: 1:   B Decimal Comparison and Subtraction
  519.    wt: 1:   A Decimal Addition Columm Methods
  520.    wt: 1:   6 Column Methods for Decimal Multiplication
  521.    wt: 1:   5 Distributive Law for Whole Numbers
  522.    wt: 1:   4 Commutative Law Groups Counting Form
  523.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  524.    wt: 1:   3 Linear Equation Literal Solution More
  525.    wt: 1:   2 Linear Equation Literal Solution
  526.    wt: 1:   1 Changing Calculations
  527.    wt: 1:   3 Product Axioms Two Forms
  528.    wt: 1:   2 More and Less Than for Counts and Measures
  529.    wt: 1:   8 Coordinates for Maps and Planes
  530.    wt: 1:   3 Geometric Formulas and Function Notation
  531.    wt: 1:   1 Formulas Dependence and Function Notation
  532.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  533.    wt: 1:   6 Algebraic Solution Example
  534.    wt: 1:   5 Algebraic Solutions Introduction
  535.    wt: 1:   4 Four Examples Fractional Coefficients
  536.    wt: 1:   3 Four Examples
  537.    wt: 1:   2 Three Examples
  538.    wt: 1:   1 Proper Equal Sign Usage
  539.    wt: 1:   Using Letters for Physical Quantities
  540.    wt: 1:   9 Sets in Probability and Statistics
  541.    wt: 1:   1 Three Skills For Algebra
  542.    wt: 1:   1 More and Less Than for Counts and Measures
  543.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  544.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  545.    wt: 1:   4 LCM of 8 and 10 via Prime
  546.    wt: 1:   4 signed coordinates for regions in space
  547.    wt: 1:   3 signed coordinates for maps and planes
  548.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  549.    wt: 1:   D Three Term Ratios
  550.    wt: 1:   B Fractions and Two Term Ratios
  551.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  552.    wt: 1:   21 Reciprocals for Fractions and Wholes
  553.    wt: 1:   19 Dividing Fractions How TO
  554.    wt: 1:   16 Addition Subtraction Comparision Compared
  555.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  556.    wt: 1:   9 Improper Fractions and Mixed Numbers
  557.    wt: 1:   11 Adding Integers Formulas and Examples
  558.    wt: 1:   10 Integer Multiplication Formulas
  559.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  560.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  561.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  562.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  563.    wt: 1:   5 Remainder Arithmetic Modulo 5
  564.    wt: 1:   16 video Factors of 980 using prime
  565.    wt: 1:   8 video Prime Factorization upto 19
  566.    wt: 1:   3 video Primes and Composites from 9 times table
  567.    wt: 1:   Long Division Backwards more
  568.    wt: 1:   Long Division Backward
  569.    wt: 1:   Long Division forwards and backwards Example 3
  570.    wt: 1:   Long Division forwards and backwards Example 2
  571.    wt: 1:   C Counting Areas with Powers of Ten
  572.    wt: 1:   A Elementary Basis for Multiplication Methods
  573.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  574.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  575.    wt: 1:   Subtraction with J Conversions Example
  576.    wt: 1:   Subtraction Another Video Lesson
  577.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  578.    wt: 1:   5 A Tip for Efficent Subtraction
  579.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  580.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  581.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  582.    wt: 1:   Formula Evaluation how to show work
  583.    wt: 1:   The 12 Times Table Visually
  584.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  585.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  586.    wt: 1:   A Chain Rule Real Player video examples
  587.    wt: 1:   36 Cube root derivative animated
  588.    wt: 1:   29 Chain Rule Optional Reading
  589.    wt: 1:   28 Chain Rule Preparation for a Proof
  590.    wt: 1:   22 Chain Rule for polynomials
  591.    wt: 1:   21 Chain Rule for powers
  592.    wt: 1:   20 Chain Rule for Pulley Systems
  593.    wt: 1:   11 Quotient rule
  594.    wt: 1:   10 Power rule for negative integers
  595.    wt: 1:   9 Reciprocal rule
  596.    wt: 1:   3 Motivation for Limit Definition Take 2
  597.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  598.    wt: 1:   9 Limits Continuity and Composition
  599.    wt: 1:   3 Decimal insights for limits continuity convergence
  600.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  601.    wt: 1:   G.5 Motions With Bounded Velocities
  602.    wt: 1:   F.1 What Functions are Continuous
  603.    wt: 1:   PostScript For and Against Decimal Perspectives
  604.    wt: 1:   Fall 1983 Calculus Appetizer
  605.    wt: 1:   Foreword
  606.    wt: 1:   Appendix E. How To Study Mathematics and Why
  607.    wt: 1:   Appendix D. What to do in School and Why
  608.    wt: 1:   Appendix C. How to Read
  609.    wt: 1:   Appendix B. How To Learn
  610.    wt: 1:   Chapter 31 Direct and Indirect Reason
  611.    wt: 1:   Chapter 30 Truth Tables
  612.    wt: 1:   Chapter 28 Occurrence Tables
  613.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  614.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  615.    wt: 1:   Chapter 25. Mathematical Induction Examples
  616.    wt: 1:   Chapter 25. Mathematical Induction Examples
  617.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  618.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  619.    wt: 1:   Chapter 20. Degrees and Radians
  620.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  621.    wt: 1:   Chapter 16. Painless Theorem Proving
  622.    wt: 1:   Chapter 15. Solving Linear Equations
  623.    wt: 1:   Chapter 11. Why Shorthand
  624.    wt: 1:   Chapter 10 Describing and Changing Calculations
  625.    wt: 1:   Chapter 6 Change of Language
  626.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  627.    wt: 1:   Chapter 4 Longer Chains of Reason
  628.    wt: 1:   Chapter 3 Chains of Reason
  629.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  630.    wt: 1:   Chapter 7 Two Treatments of Geometry
  631.    wt: 1:   Chapter 2 For and Against Mathematics
  632.    wt: 1:   Foreword
  633.    wt: 1:   Postscript C Consistency as a Tool for Reason
  634.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  635.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  636.    wt: 1:   Foreword
  637.    wt: 1:   R Why Learn Mathematics Skills
  638.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  639.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  640.    wt: 1:   O On Learning Mathematics and Science
  641.    wt: 1:   M Words to extend arithmetic
  642.    wt: 1:   L Skills with take home value
  643.    wt: 1:   N Improving Marks on Tests and Finals
  644.    wt: 1:   J. More on written work and showing skill
  645.    wt: 1:   H more Routine to non routine problem solving
  646.    wt: 1:   H Jigsaw puzzles and problem solving
  647.    wt: 1:   F. The student teacher tutor feedback loop
  648.    wt: 1:   E. When and how to correct errors
  649.    wt: 1:   D. Check work a must with a caution
  650.    wt: 1:   C. Domino effect of being careful
  651.    wt: 1:   B. Domino effect of errors
  652.    wt: 1:   A. Skill has to be seen to believed
  653.    wt: 1:   How to Build Skills and Confidence
  654.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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A Origins of Counting and Figuring Methods
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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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70 Calculus Starter Lessons

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Logic-Reason for all
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Arithmetic - Ages 10+
1. Deciml Place Value - fun
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5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
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Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
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