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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  5.    wt: 2:   6 Fractions and Ratios/
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  7.    wt: 1:   LAMP Lean Applied Mathematics Program/
  8.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  9.    wt: 1:   Mathematics Education Essays/
  10.    wt: 1:   Direct Current Electric Circuits/
  11.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  12.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  13.    wt: 1:   13 Vectors/
  14.    wt: 1:   12 Function Translating and Rescaling/
  15.    wt: 1:   11 Parallel Straight Lines and Transversals/
  16.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  17.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  18.    wt: 1:   8 Unit Circle Trigonometry/
  19.    wt: 1:   7 Complex Numbers/
  20.    wt: 1:   5 What is Similarity/
  21.    wt: 1:   4 Lines and Slopes Take 1/
  22.    wt: 1:   3 Cartesian and Polar Coordinates/
  23.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
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  26.    wt: 1:   9 Proportionality Backwards and Forwards/
  27.    wt: 1:   8 Unifying Theme For Algebra/
  28.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  29.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  30.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
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284 matches:

  1.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  2.    wt: 3:   26 Formulas for products of sines and cosines
  3.    wt: 2:   three goals for Mathematics Education
  4.    wt: 2:   three aims for mathematics students
  5.    wt: 2:   formal or informal peer review
  6.    wt: 2:   need for a mixed mathematics curriculum
  7.    wt: 2:   Prequel In For A Penny In For A Pound
  8.    wt: 2:   words for mathematics instructor
  9.    wt: 2:   22 Student Centered Highschool Mathematics
  10.    wt: 2:   16 Secondary Mathematics Tips
  11.    wt: 2:   12 Goals and Objectives For Mathematics
  12.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  13.    wt: 2:   6 Set Existence Formation and Notation
  14.    wt: 2:   5 Function notation for geometric transformations
  15.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  16.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  17.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  18.    wt: 2:   17E Trig Formulas for dot and cross Products
  19.    wt: 2:   17D cis formulas for sine cosines and tangent
  20.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  21.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  22.    wt: 2:   13 Trig Formulas for dot and cross Products
  23.    wt: 2:   12 cis formulas for sine cosines and tangent
  24.    wt: 2:   4 Equations for lines three forms
  25.    wt: 2:   6 Column Methods for Decimal Multiplication
  26.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  27.    wt: 2:   6 Compound Interest Forward and Backwards
  28.    wt: 2:   Formula Usage Show Work Format
  29.    wt: 2:   1 Written work formats for developing and showing skill
  30.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  31.    wt: 2:   38 Formulas and derivatives for powers and roots
  32.    wt: 2:   Postscript For Better Performance
  33.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  34.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  35.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  36.    wt: 2:   Chapter 2 For and Against Mathematics
  37.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  38.    wt: 2:   N Mathematics Prepare for College Studies
  39.    wt: 2:   G. Written work formats for developing and showing skill
  40.    wt: 1:   E LAMP Introduction Modern Mathematics
  41.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  42.    wt: 1:   11 pure mathematics
  43.    wt: 1:   6 polynomials etc
  44.    wt: 1:   three goals to set for students
  45.    wt: 1:   permissions for teachers
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  47.    wt: 1:   Mathematics Education Professors
  48.    wt: 1:   mathematics in context
  49.    wt: 1:   Education Reform Inconsistencies
  50.    wt: 1:   Secondary Three Mathematics
  51.    wt: 1:   Secondary Two Mathematics
  52.    wt: 1:   Secondary One Mathematics
  53.    wt: 1:   mathematics curriculum shifts
  54.    wt: 1:   geometric implications for algebra
  55.    wt: 1:   04 29 New Mathematics Curriculum
  56.    wt: 1:   02 21 words for teachers
  57.    wt: 1:   02 20 mathematics education references
  58.    wt: 1:   standards for course material
  59.    wt: 1:   mathematics instruction in general
  60.    wt: 1:   Education in mathematics science and technology
  61.    wt: 1:   three kinds of reason in mathematics
  62.    wt: 1:   Four ways to improve education reform
  63.    wt: 1:   Leaner mathematics curriculum
  64.    wt: 1:   fairness and inductive principles for instruction
  65.    wt: 1:   chapitre 06 00 Chaines de la raison
  66.    wt: 1:   chapitre 04 06 engagements
  67.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  68.    wt: 1:   1 Energy Power Heat06
  69.    wt: 1:   C Electromotive force conventional current02
  70.    wt: 1:   B Electromotive force conventional current01
  71.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  72.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  73.    wt: 1:   24 Standards For Skill Develoment Take II
  74.    wt: 1:   24 Standards For Skill Develoment
  75.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  76.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  77.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  78.    wt: 1:   18 Primary School Mathematics
  79.    wt: 1:   17 Math Booklets for children and young teenagers
  80.    wt: 1:   15 Counting For Parents
  81.    wt: 1:   10 Ends values for work study instruction
  82.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  83.    wt: 1:   5 Patience Please for Yourself and Your Charges
  84.    wt: 1:   4 Learning Takes Time and Effort
  85.    wt: 1:   3 Preparing for Science Studies
  86.    wt: 1:   Ages 6 to 7
  87.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  88.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  89.    wt: 1:   26 Function definitions done and coming
  90.    wt: 1:   16 Increasing or decreasing on intervals
  91.    wt: 1:   4 Function notation in and beyond mathematics
  92.    wt: 1:   3 Formula or function graphing exercise
  93.    wt: 1:   Introduction Reading Guide
  94.    wt: 1:   8 quadratics backward use of various formulas
  95.    wt: 1:   7 quadratic formulla derivation
  96.    wt: 1:   6 quadratics numerical approach
  97.    wt: 1:   8 Notes for instructors or tutors
  98.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  99.    wt: 1:   16 cotangent function Definition Graph and Inverse
  100.    wt: 1:   12 motivation for term arctan
  101.    wt: 1:   9 motivation for name arcsin
  102.    wt: 1:   6 Graph of arccos function
  103.    wt: 1:   4 possible motivation for term arccos
  104.    wt: 1:   6 Radian Measure to Degrees
  105.    wt: 1:   12 From Applied To Pure Mathematics
  106.    wt: 1:   6 Vectors with Coordinates
  107.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  108.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  109.    wt: 1:   8 Straight Lines Equation for vertical
  110.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  111.    wt: 1:   17 tangent function angle sum formulas
  112.    wt: 1:   29 secant cosecant and cotangent for acute angles
  113.    wt: 1:   25 tangent double angle formula Slope connection
  114.    wt: 1:   24 tangent Angle Difference Formula
  115.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  116.    wt: 1:   21 sine and cosine Half Angle Formulas
  117.    wt: 1:   20 sine and cosine Double Angle Formulas
  118.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  119.    wt: 1:   17C sine and cosine double triple angle formulas
  120.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  121.    wt: 1:   16 Right Triangle Complementary Angle Relations
  122.    wt: 1:   12 Graph of tangent function for one period
  123.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  124.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  125.    wt: 1:   16 References and Originality Question
  126.    wt: 1:   11 sine and cosine double triple angle formulas
  127.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  128.    wt: 1:   6 Field Properties of Complex Number
  129.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  130.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  131.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  132.    wt: 1:   6 Geometric Diagrams in Class
  133.    wt: 1:   8 Mid Point Formula
  134.    wt: 1:   6 Intersection of lines by solving linear systems
  135.    wt: 1:   3 Slope product for perpendicular lines
  136.    wt: 1:   2 point slope equation for a line
  137.    wt: 1:   13 Pythagorean spatial distance formulas
  138.    wt: 1:   10 Pythagorean plane distance formula
  139.    wt: 1:   6 Polar Multiplication and Rotation
  140.    wt: 1:   PS H Distributive Law For Complex Numbers
  141.    wt: 1:   16 Angles Subtended By Chords and Diameters
  142.    wt: 1:   6 Ruler and compass Angle Bisection
  143.    wt: 1:   6 Figuring with Maps Not to Scale
  144.    wt: 1:   26 More Less Greater Than Comparison
  145.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  146.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  147.    wt: 1:   5 Distributive Law for Whole Numbers
  148.    wt: 1:   4 Commutative Law Groups Counting Form
  149.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  150.    wt: 1:   5 Triangle Area Formula Backwards
  151.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  152.    wt: 1:   6 Equations and Systems Equivalent or Implied
  153.    wt: 1:   3 Product Axioms Two Forms
  154.    wt: 1:   2 More and Less Than for Counts and Measures
  155.    wt: 1:   16 Real Numbers Comparison
  156.    wt: 1:   9 Coordinates for Regions in Space
  157.    wt: 1:   8 Coordinates for Maps and Planes
  158.    wt: 1:   6 Unsigned Real Numbers
  159.    wt: 1:   3 Geometric Formulas and Function Notation
  160.    wt: 1:   1 Formulas Dependence and Function Notation
  161.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  162.    wt: 1:   6 Algebraic Solution Example
  163.    wt: 1:   6 Three Examples
  164.    wt: 1:   Using Letters for Physical Quantities
  165.    wt: 1:   13 Naming Identifying Formulas with Words
  166.    wt: 1:   8 Compound Interest Formula Evaluation
  167.    wt: 1:   7 Compound Interest Formula Introduction
  168.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  169.    wt: 1:   5 Box Volume Formula Example
  170.    wt: 1:   4 Circle Area Formula Example
  171.    wt: 1:   3 Triangle Area Formula Example
  172.    wt: 1:   2 Another Rectangle Area Formula Example
  173.    wt: 1:   6 Power Set Notation
  174.    wt: 1:   6 Three Notions of What is a Variable
  175.    wt: 1:   1 Three Skills For Algebra
  176.    wt: 1:   arithmetic videos Real Player Format
  177.    wt: 1:   1 More and Less Than for Counts and Measures
  178.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  179.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  180.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  181.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  182.    wt: 1:   6 GCD from Prime
  183.    wt: 1:   5 Common Divisors 60 45 via Prime
  184.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  185.    wt: 1:   6 adding signed numbers
  186.    wt: 1:   4 signed coordinates for regions in space
  187.    wt: 1:   3 signed coordinates for maps and planes
  188.    wt: 1:   6 Simplification of Fractions with Units
  189.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  190.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  191.    wt: 1:   21 Reciprocals for Fractions and Wholes
  192.    wt: 1:   16 Addition Subtraction Comparision Compared
  193.    wt: 1:   6 Multiplication Algebraically Take II
  194.    wt: 1:   11 Adding Integers Formulas and Examples
  195.    wt: 1:   10 Integer Multiplication Formulas
  196.    wt: 1:   6 Multiplication by Natural Numbers
  197.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  198.    wt: 1:   26 Divisibility by 2 3 5 Example
  199.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  200.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  201.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  202.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  203.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  204.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  205.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  206.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  207.    wt: 1:   16 video Factors of 980 using prime
  208.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  209.    wt: 1:   2 Prime and Composites less than 16
  210.    wt: 1:   Long Division forwards and backwards Example 3
  211.    wt: 1:   Long Division forwards and backwards Example 2
  212.    wt: 1:   Long Division forwards and backwards Example 1
  213.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  214.    wt: 1:   A Elementary Basis for Multiplication Methods
  215.    wt: 1:   6 Multiplication Commutes Order Not Important
  216.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  217.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  218.    wt: 1:   5 A Tip for Efficent Subtraction
  219.    wt: 1:   6. Counting and adding units and mixed units
  220.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  221.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  222.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  223.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  224.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  225.    wt: 1:   Formula Evaluation how to show work
  226.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  227.    wt: 1:   016 Numbering Occidental Calendar Days
  228.    wt: 1:   6 How long is a million seconds
  229.    wt: 1:   36 Cube root derivative animated
  230.    wt: 1:   28 Chain Rule Preparation for a Proof
  231.    wt: 1:   26 Chain Rule Recognising outer inner functions
  232.    wt: 1:   22 Chain Rule for polynomials
  233.    wt: 1:   21 Chain Rule for powers
  234.    wt: 1:   20 Chain Rule for Pulley Systems
  235.    wt: 1:   19 Chain Rule for linear functions
  236.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  237.    wt: 1:   10 Power rule for negative integers
  238.    wt: 1:   6 Power rule from product rule
  239.    wt: 1:   3 Motivation for Limit Definition Take 2
  240.    wt: 1:   2 Motivation for Limit Definition Take 1
  241.    wt: 1:   6 Continuity at a point
  242.    wt: 1:   3 Decimal insights for limits continuity convergence
  243.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  244.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  245.    wt: 1:   PostScript For and Against Decimal Perspectives
  246.    wt: 1:   Chapter 16. Velocity Approximation
  247.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  248.    wt: 1:   Foreword
  249.    wt: 1:   Postscript More on Better Performance
  250.    wt: 1:   Appendix E. How To Study Mathematics and Why
  251.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  252.    wt: 1:   Chapter 23. Notation For Sums
  253.    wt: 1:   Chapter 21. Third Reading Guide
  254.    wt: 1:   Chapter 18. Rules for Algebra
  255.    wt: 1:   Chapter 16. Painless Theorem Proving
  256.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  257.    wt: 1:   Chapter 13. Second Reading Guide
  258.    wt: 1:   Chapter 12. Shorthand Usage Guide
  259.    wt: 1:   Chapter 8 Three Skills For Algebra
  260.    wt: 1:   Solutions For Arithmetic Exercises
  261.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  262.    wt: 1:   Chapter 6 Change of Language
  263.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  264.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  265.    wt: 1:   Foreword
  266.    wt: 1:   Postscript B Mathematics Education References
  267.    wt: 1:   Foreword
  268.    wt: 1:   Postscript C Consistency as a Tool for Reason
  269.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  270.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  271.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  272.    wt: 1:   Chapter 6 Chains of Reason
  273.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  274.    wt: 1:   Foreword
  275.    wt: 1:   R Why Learn Mathematics Skills
  276.    wt: 1:   O On Learning Mathematics and Science
  277.    wt: 1:   Helping the Blind in Logic and Mathematics
  278.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  279.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  280.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  281.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  282.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  283.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  284.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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715 matches:

  1.    wt: 5:   16 Secondary Mathematics Tips
  2.    wt: 4:   formal or informal peer review
  3.    wt: 4:   22 Student Centered Highschool Mathematics
  4.    wt: 4:   12 Goals and Objectives For Mathematics
  5.    wt: 4:   6 Discipline Who is in Charge Conserving Authority
  6.    wt: 4:   Objectives for Mathematics and Logic Language Skill Development
  7.    wt: 4:   6 Formulas for Even and Odd Roots with Logarithms
  8.    wt: 4:   26 Formulas for products of sines and cosines
  9.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  10.    wt: 4:   5 Trigonometric Ratios For Tangent and Special Triangles
  11.    wt: 4:   4 Trigonometric Ratios For Two Special Triangles
  12.    wt: 4:   1 Written work formats for developing and showing skill
  13.    wt: 4:   6 Multiplication Algebraically Take II
  14.    wt: 4:   Chapter 6 Rule Based Reason in Mathematics
  15.    wt: 3:   6 polynomials etc
  16.    wt: 3:   three goals to set for students
  17.    wt: 3:   permissions for teachers
  18.    wt: 3:   activities for students
  19.    wt: 3:   three goals for Mathematics Education
  20.    wt: 3:   three aims for mathematics students
  21.    wt: 3:   need for a mixed mathematics curriculum
  22.    wt: 3:   Prequel In For A Penny In For A Pound
  23.    wt: 3:   words for mathematics instructor
  24.    wt: 3:   1 Energy Power Heat06
  25.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  26.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  27.    wt: 3:   24 Standards For Skill Develoment Take II
  28.    wt: 3:   24 Standards For Skill Develoment
  29.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  30.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  31.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  32.    wt: 3:   18 Primary School Mathematics
  33.    wt: 3:   17 Math Booklets for children and young teenagers
  34.    wt: 3:   15 Counting For Parents
  35.    wt: 3:   10 Ends values for work study instruction
  36.    wt: 3:   5 Patience Please for Yourself and Your Charges
  37.    wt: 3:   4 Learning Takes Time and Effort
  38.    wt: 3:   3 Preparing for Science Studies
  39.    wt: 3:   Ages 6 to 7
  40.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  41.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  42.    wt: 3:   6 Set Existence Formation and Notation
  43.    wt: 3:   17 tangent function angle sum formulas
  44.    wt: 3:   17E Trig Formulas for dot and cross Products
  45.    wt: 3:   17D cis formulas for sine cosines and tangent
  46.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  47.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  48.    wt: 3:   16 References and Originality Question
  49.    wt: 3:   13 Trig Formulas for dot and cross Products
  50.    wt: 3:   12 cis formulas for sine cosines and tangent
  51.    wt: 3:   6 Field Properties of Complex Number
  52.    wt: 3:   8 Triangles Cascade Problem Solving
  53.    wt: 3:   7 Trignometric Ratios Unit Circle
  54.    wt: 3:   3 Trigonometric Ratios sine and cosine
  55.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  56.    wt: 3:   1 Angle Measurement with Degrees
  57.    wt: 3:   Why Trigonometry the whyslopes view
  58.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  59.    wt: 3:   6 Geometric Diagrams in Class
  60.    wt: 3:   6 Intersection of lines by solving linear systems
  61.    wt: 3:   4 Equations for lines three forms
  62.    wt: 3:   6 Polar Multiplication and Rotation
  63.    wt: 3:   16 Angles Subtended By Chords and Diameters
  64.    wt: 3:   6 Ruler and compass Angle Bisection
  65.    wt: 3:   6 Column Methods for Decimal Multiplication
  66.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  67.    wt: 3:   6 Compound Interest Forward and Backwards
  68.    wt: 3:   6 Algebraic Solution Example
  69.    wt: 3:   13 Naming Identifying Formulas with Words
  70.    wt: 3:   8 Compound Interest Formula Evaluation
  71.    wt: 3:   7 Compound Interest Formula Introduction
  72.    wt: 3:   6 Pythagorean Hypotenuse Calculation Example
  73.    wt: 3:   5 Box Volume Formula Example
  74.    wt: 3:   4 Circle Area Formula Example
  75.    wt: 3:   3 Triangle Area Formula Example
  76.    wt: 3:   2 Another Rectangle Area Formula Example
  77.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  78.    wt: 3:   21 Reciprocals for Fractions and Wholes
  79.    wt: 3:   16 Addition Subtraction Comparision Compared
  80.    wt: 3:   9 Improper Fractions and Mixed Numbers
  81.    wt: 3:   8 Numerals Fractionals Quantals Take II
  82.    wt: 3:   7 Numerals Fractionals Quantals
  83.    wt: 3:   Chapter 16. Velocity Approximation
  84.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  85.    wt: 3:   Postscript For Better Performance
  86.    wt: 3:   Appendix A. Reading Guide For Next Appendices
  87.    wt: 3:   Chapter 26 What is in chapters 27 to 31
  88.    wt: 3:   Chapter 16. Painless Theorem Proving
  89.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  90.    wt: 3:   Chapter 6 Change of Language
  91.    wt: 3:   Chapter 2 For and Against Mathematics
  92.    wt: 2:   E LAMP Introduction Modern Mathematics
  93.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  94.    wt: 2:   Ramblings Extrinsic numbers theory
  95.    wt: 2:   11 pure mathematics
  96.    wt: 2:   Teach the teachers plus goals
  97.    wt: 2:   Math Ed if it must be short make it lean effective
  98.    wt: 2:   Applied Maths Program14092009 POMME variant
  99.    wt: 2:   links Education Resources online
  100.    wt: 2:   Mathematics Education Professors
  101.    wt: 2:   mathematics in context
  102.    wt: 2:   Education Reform Inconsistencies
  103.    wt: 2:   Secondary Three Mathematics
  104.    wt: 2:   Secondary Two Mathematics
  105.    wt: 2:   Secondary One Mathematics
  106.    wt: 2:   teaching tips
  107.    wt: 2:   mathematics curriculum shifts
  108.    wt: 2:   geometric implications for algebra
  109.    wt: 2:   04 29 New Mathematics Curriculum
  110.    wt: 2:   02 21 words for teachers
  111.    wt: 2:   02 20 mathematics education references
  112.    wt: 2:   standards for course material
  113.    wt: 2:   Operational Viewpoint to Value
  114.    wt: 2:   mathematics instruction in general
  115.    wt: 2:   Education in mathematics science and technology
  116.    wt: 2:   three kinds of reason in mathematics
  117.    wt: 2:   Four ways to improve education reform
  118.    wt: 2:   Motivation and Context Problem
  119.    wt: 2:   Leaner mathematics curriculum
  120.    wt: 2:   fairness and inductive principles for instruction
  121.    wt: 2:   D Wire Resistance Calculation02
  122.    wt: 2:   E Kirchoffs Second Law
  123.    wt: 2:   C Electromotive force conventional current02
  124.    wt: 2:   B Electromotive force conventional current01
  125.    wt: 2:   Home Tutoring and Home Schooling
  126.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  127.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  128.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  129.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  130.    wt: 2:   14 Multiplication and Times Tables
  131.    wt: 2:   13 Addition and Addition Tables
  132.    wt: 2:   11 Help and Defend Your Child or Teens Education
  133.    wt: 2:   9 Streaming by Student Cooperation
  134.    wt: 2:   8 The Effect of Negative Remarks
  135.    wt: 2:   7 Student Motivation
  136.    wt: 2:   2 Reading and Writing Skills
  137.    wt: 2:   1 Speaking Skills
  138.    wt: 2:   Ages 12 to 14 Skills with take home value
  139.    wt: 2:   Ages 12 to 14 Geometry
  140.    wt: 2:   Ages 12 to 14 Arithmetic
  141.    wt: 2:   Ages 10 to 12 Geometry
  142.    wt: 2:   Ages 10 to 12 Arithmetic
  143.    wt: 2:   Ages 9 to 10
  144.    wt: 2:   Ages 8 to 9
  145.    wt: 2:   Ages 7 to 8
  146.    wt: 2:   Ages 4 plus to 5 plus
  147.    wt: 2:   Ages 3 plus to 4 plus
  148.    wt: 2:   26 Function definitions done and coming
  149.    wt: 2:   16 Increasing or decreasing on intervals
  150.    wt: 2:   5 Function notation for geometric transformations
  151.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  152.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  153.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  154.    wt: 2:   16 cotangent function Definition Graph and Inverse
  155.    wt: 2:   12 motivation for term arctan
  156.    wt: 2:   9 motivation for name arcsin
  157.    wt: 2:   6 Graph of arccos function
  158.    wt: 2:   4 possible motivation for term arccos
  159.    wt: 2:   6 Radian Measure to Degrees
  160.    wt: 2:   5 Degrees to Radian Measure
  161.    wt: 2:   12 From Applied To Pure Mathematics
  162.    wt: 2:   6 Vectors with Coordinates
  163.    wt: 2:   Parallel Lines and Parallel Transversals
  164.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  165.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  166.    wt: 2:   8 Straight Lines Equation for vertical
  167.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  168.    wt: 2:   4 Tangent Function Properties
  169.    wt: 2:   29 secant cosecant and cotangent for acute angles
  170.    wt: 2:   27 Logarithmic use of products of sines and cosines
  171.    wt: 2:   25 tangent double angle formula Slope connection
  172.    wt: 2:   24 tangent Angle Difference Formula
  173.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  174.    wt: 2:   21 sine and cosine Half Angle Formulas
  175.    wt: 2:   20 sine and cosine Double Angle Formulas
  176.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  177.    wt: 2:   17C sine and cosine double triple angle formulas
  178.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  179.    wt: 2:   16 Right Triangle Complementary Angle Relations
  180.    wt: 2:   12 Graph of tangent function for one period
  181.    wt: 2:   9 Graphs of sine and cosine over one period
  182.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  183.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  184.    wt: 2:   11 sine and cosine double triple angle formulas
  185.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  186.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  187.    wt: 2:   8 Mid Point Formula
  188.    wt: 2:   3 Slope product for perpendicular lines
  189.    wt: 2:   2 point slope equation for a line
  190.    wt: 2:   13 Pythagorean spatial distance formulas
  191.    wt: 2:   10 Pythagorean plane distance formula
  192.    wt: 2:   PS H Distributive Law For Complex Numbers
  193.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  194.    wt: 2:   6 Figuring with Maps Not to Scale
  195.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  196.    wt: 2:   5 Triangle Area Formula Backwards
  197.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  198.    wt: 2:   2 More and Less Than for Counts and Measures
  199.    wt: 2:   6 Three Examples
  200.    wt: 2:   Formula Usage Show Work Format
  201.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  202.    wt: 2:   11 Volume of Sphere
  203.    wt: 2:   10 Volume of Pyramid
  204.    wt: 2:   9 Volume of Cone
  205.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  206.    wt: 2:   5 Common Divisors 60 45 via Prime
  207.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  208.    wt: 2:   6 adding signed numbers
  209.    wt: 2:   6 Simplification of Fractions with Units
  210.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  211.    wt: 2:   D Three Term Ratios
  212.    wt: 2:   B Fractions and Two Term Ratios
  213.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  214.    wt: 2:   22 Complex Compound Fractions
  215.    wt: 2:   21 Working With Signs
  216.    wt: 2:   20 Dividing Fractions the Why
  217.    wt: 2:   19 Dividing Fractions How TO
  218.    wt: 2:   18 Efficient Ways to Multiply
  219.    wt: 2:   17 Efficient Ways to Add and Subtract
  220.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  221.    wt: 2:   14 Adding and Subtracting with Like Denominators
  222.    wt: 2:   13 Fraction Comparison Algebraic View
  223.    wt: 2:   12 Fraction Comparison
  224.    wt: 2:   11 Simplification an Algebraic View
  225.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  226.    wt: 2:   5 Equivalent Fractions
  227.    wt: 2:   4 Fraction Multiplication
  228.    wt: 2:   3 Unit fraction of a fraction
  229.    wt: 2:   2 Unit Fraction Multiplication
  230.    wt: 2:   1 What is a fraction Take II
  231.    wt: 2:   1 What is a fraction
  232.    wt: 2:   6 Multiplication by Natural Numbers
  233.    wt: 2:   16 video Factors of 980 using prime
  234.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  235.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  236.    wt: 2:   6 Multiplication Commutes Order Not Important
  237.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  238.    wt: 2:   6. Counting and adding units and mixed units
  239.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  240.    wt: 2:   38 Formulas and derivatives for powers and roots
  241.    wt: 2:   6 Continuity at a point
  242.    wt: 2:   Foreword
  243.    wt: 2:   Postscript More on Better Performance
  244.    wt: 2:   Appendix E. How To Study Mathematics and Why
  245.    wt: 2:   Chapter 23. Notation For Sums
  246.    wt: 2:   Chapter 21. Third Reading Guide
  247.    wt: 2:   Chapter 18. Rules for Algebra
  248.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  249.    wt: 2:   Chapter 13. Second Reading Guide
  250.    wt: 2:   Chapter 12. Shorthand Usage Guide
  251.    wt: 2:   Chapter 8 Three Skills For Algebra
  252.    wt: 2:   Solutions For Arithmetic Exercises
  253.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  254.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  255.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  256.    wt: 2:   Foreword
  257.    wt: 2:   Postscript B Mathematics Education References
  258.    wt: 2:   Foreword
  259.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  260.    wt: 2:   Chapter 6 Chains of Reason
  261.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  262.    wt: 2:   N Mathematics Prepare for College Studies
  263.    wt: 2:   G. Written work formats for developing and showing skill
  264.    wt: 2:   Helping the Blind in Logic and Mathematics
  265.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  266.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  267.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  268.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  269.    wt: 2:   Implementation Notes
  270.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  271.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  272.    wt: 1:   Appendix 2 primary school Arithmetic 01
  273.    wt: 1:   Appendix 1 primary and preschool mathematic
  274.    wt: 1:   K LAMP Musings Science Education
  275.    wt: 1:   J LAMP Introduction Extrinsic Origins
  276.    wt: 1:   I LAMP Introduction Study Habits
  277.    wt: 1:   H LAMP Introduction Instructional Concepts
  278.    wt: 1:   G LAMP Introduction Problem Solving Skills
  279.    wt: 1:   F LAMP Introduction Prerequisites
  280.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  281.    wt: 1:   A Introduction Objectives
  282.    wt: 1:   Skills Chapter 5 Calculus
  283.    wt: 1:   Skills Chapter 4 Logic
  284.    wt: 1:   Ramblings Introduction Algebra Essay
  285.    wt: 1:   Skills Chapter 3 Algebra
  286.    wt: 1:   Skills Chapter 2 Geometry
  287.    wt: 1:   Skills Chapter 1 Arithmetic
  288.    wt: 1:   Skills Chapter 0 Introduction
  289.    wt: 1:   10 statistics
  290.    wt: 1:   9 combinatorics probability sets
  291.    wt: 1:   8 analytic geometry etc
  292.    wt: 1:   7 logic review and decimals an odd combination
  293.    wt: 1:   5 logarithms and exponentials etc
  294.    wt: 1:   4 algebra
  295.    wt: 1:   3 Euclidean Geometry Leanly
  296.    wt: 1:   2 arithmetic with signed numbers
  297.    wt: 1:   1 arithmetic with unsigned numbers
  298.    wt: 1:   What is POMME
  299.    wt: 1:   why bother
  300.    wt: 1:   which way to go
  301.    wt: 1:   website reviews
  302.    wt: 1:   site origins
  303.    wt: 1:   site eurekas
  304.    wt: 1:   About site lesson plans
  305.    wt: 1:   key notes and themes
  306.    wt: 1:   teacher certification
  307.    wt: 1:   modern education
  308.    wt: 1:   learning takes time
  309.    wt: 1:   grouping students according to ability
  310.    wt: 1:   what should be learnt and When
  311.    wt: 1:   Postscript 2007 01 10
  312.    wt: 1:   five decades make a difference
  313.    wt: 1:   Maps Plans Drawings
  314.    wt: 1:   how letters appear
  315.    wt: 1:   talk the algebra talk
  316.    wt: 1:   three difficulties
  317.    wt: 1:   What to Tell Students
  318.    wt: 1:   teaching tutoring algebraic reason
  319.    wt: 1:   Lessening Algebra Difficulties
  320.    wt: 1:   the trouble with algebra
  321.    wt: 1:   05 13 OldSiteEntrancePage
  322.    wt: 1:   04 25 when to stop or suspend mathemat
  323.    wt: 1:   Theory of Knowledge
  324.    wt: 1:   Different Kinds of Reasoning in maths
  325.    wt: 1:   cultivating intelligence
  326.    wt: 1:   How to be a better instructor
  327.    wt: 1:   education an empirical art
  328.    wt: 1:   chapitre 06 00 Chaines de la raison
  329.    wt: 1:   chapitre 04 06 engagements
  330.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  331.    wt: 1:   logique deux enigme
  332.    wt: 1:   4 Energy Power Heat09
  333.    wt: 1:   3 Energy Power Heat08
  334.    wt: 1:   2 Energy Power Heat07
  335.    wt: 1:   E Energy Power05
  336.    wt: 1:   D Energy Power04
  337.    wt: 1:   C Energy Power03
  338.    wt: 1:   B Energy Power02
  339.    wt: 1:   A Energy Power01
  340.    wt: 1:   2 Conductance Resistance Duality02
  341.    wt: 1:   1 Conductance Resistance Duality01
  342.    wt: 1:   F Wire Resistance Calculation04
  343.    wt: 1:   E Wire Resistance Calculation03
  344.    wt: 1:   C Wire Resistance Calculation01
  345.    wt: 1:   B Wire Resistance Qualitative02
  346.    wt: 1:   A Wire Resistance Qualitative01
  347.    wt: 1:   3 Like resistors in parallel
  348.    wt: 1:   2 Unlike resistors in parallel01
  349.    wt: 1:   1 Like resistors in series
  350.    wt: 1:   H Series Circuit02
  351.    wt: 1:   G Series Circuit01
  352.    wt: 1:   F Unlike Resistors in Series
  353.    wt: 1:   D Kirchoff First Law
  354.    wt: 1:   A Circuit Elements
  355.    wt: 1:   4 Function notation in and beyond mathematics
  356.    wt: 1:   3 Formula or function graphing exercise
  357.    wt: 1:   Introduction Reading Guide
  358.    wt: 1:   8 quadratics backward use of various formulas
  359.    wt: 1:   7 quadratic formulla derivation
  360.    wt: 1:   6 quadratics numerical approach
  361.    wt: 1:   8 Notes for instructors or tutors
  362.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  363.    wt: 1:   15 cosecant function Definition Graph and Inverse
  364.    wt: 1:   14 secant function Definition Graph and Inverse
  365.    wt: 1:   13 cosecant function Definition Graph and Inverse
  366.    wt: 1:   11 arctan left inverse of tangent Graph
  367.    wt: 1:   10 arctan left inverse of tangent Definition
  368.    wt: 1:   8 arcsin left inverse of sine Graph
  369.    wt: 1:   7 arcsin left inverse of sine Definition
  370.    wt: 1:   5 Swapping Coordinates is a reflection
  371.    wt: 1:   3 Left Inverse of cosine arccos definition
  372.    wt: 1:   2 cosine function more properties
  373.    wt: 1:   1 cosine function properties
  374.    wt: 1:   9 Summary Degrees to Radians and back
  375.    wt: 1:   8 Radian Measures of Common Angles
  376.    wt: 1:   7 Radian Measures in special Triangles
  377.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  378.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  379.    wt: 1:   2 Radian Measure Numerical Value of one degree
  380.    wt: 1:   1 Degrees and Radians Introduction
  381.    wt: 1:   A Global Time and Navigation
  382.    wt: 1:   15 Dot and Cross Product
  383.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  384.    wt: 1:   13 Velocity Vectors in Physics
  385.    wt: 1:   11 Component Method
  386.    wt: 1:   10 Parallelogram Addition Method
  387.    wt: 1:   9 Head to Tail Coordinate View
  388.    wt: 1:   8 Parallel Vectors
  389.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  390.    wt: 1:   5 Head To Tail Arrow Addition
  391.    wt: 1:   4 Resultant of a Sum of Movements
  392.    wt: 1:   3 Navigation with Arrows or Vectors
  393.    wt: 1:   2 Signed Coordinates
  394.    wt: 1:   1 Unsigned Coordinates
  395.    wt: 1:   Vector and Complex Number Applet
  396.    wt: 1:   4 graphing y=Asin(x c)
  397.    wt: 1:   3 graphing y=f(x c) plus K
  398.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  399.    wt: 1:   1 graphing y=f(x a)
  400.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  401.    wt: 1:   Triangle Angles Sum To 180 Degrees
  402.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  403.    wt: 1:   Parallel Lines and Interior Angles
  404.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  405.    wt: 1:   Straight Lines ASA Intersection Study More
  406.    wt: 1:   Straight Lines ASA Intersection Study
  407.    wt: 1:   Straight Lines Instersection Solving Equations
  408.    wt: 1:   Straight Lines Intersection of
  409.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  410.    wt: 1:   C Straight Lines Slope from Coordinates
  411.    wt: 1:   B Straight Line Slope Scaling Properties More
  412.    wt: 1:   A Straight Line Slope Scaling Properties
  413.    wt: 1:   14 Straight Lines Equations General Case
  414.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  415.    wt: 1:   12 Straight Lines Graphing mx plus b
  416.    wt: 1:   11 Straight Lines Graphing y=mx
  417.    wt: 1:   10 Straight Lines through Origin Equations More
  418.    wt: 1:   9 Straight Lines through Origin Equations
  419.    wt: 1:   7 Tangent Function is odd on this domain
  420.    wt: 1:   5 Tangent Function Graph
  421.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  422.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  423.    wt: 1:   1 Straight Lines Slope Concept
  424.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  425.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  426.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  427.    wt: 1:   32 seven rows of pascals triangle
  428.    wt: 1:   31 basic secant cosecant cotangent trig identities
  429.    wt: 1:   30 unit circle calculation of six trigonometric functions
  430.    wt: 1:   28 Expressing products of sines cosines as sums
  431.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  432.    wt: 1:   18 sum of sinusoidal waves as a single wave
  433.    wt: 1:   17G Pythagorean Theorem Converse
  434.    wt: 1:   17F Law of cosines
  435.    wt: 1:   17A The complex number valued trig function cis
  436.    wt: 1:   15 sine cosine Complementary Angle Relations
  437.    wt: 1:   14 cosine even and sine and tangent are odd
  438.    wt: 1:   13 Graph of tangent function many periods
  439.    wt: 1:   11 tangent function undefined when terminal side vertical
  440.    wt: 1:   10 Graphs of sines and cosines many periods
  441.    wt: 1:   8 period of tangent function
  442.    wt: 1:   7 period of sine and cosine
  443.    wt: 1:   2 Quadrant I reference Angles
  444.    wt: 1:   1 Unit Points Reflections Rotations
  445.    wt: 1:   Unit Circle Development of Trigonometry
  446.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  447.    wt: 1:   21 Logarithms Powers and Exponentials
  448.    wt: 1:   20 N th Roots of Complex Numbers
  449.    wt: 1:   19 N th Roots of Unity
  450.    wt: 1:   18 Sixth Roots of Unity
  451.    wt: 1:   17 Cube Roots of unity
  452.    wt: 1:   15 Pythagorean Theorem Converse
  453.    wt: 1:   14 Law of cosines
  454.    wt: 1:   9 The complex number valued trig function cis
  455.    wt: 1:   8 Unit Circle Development of Trigonometry
  456.    wt: 1:   7 Second Way to Calculate Products
  457.    wt: 1:   5 An Easy Proof of the Distributive Law
  458.    wt: 1:   4 Multiplication Properties
  459.    wt: 1:   3 Addition Properties
  460.    wt: 1:   2 Complex Numbers made easier we hope
  461.    wt: 1:   1 Rectangular Polar Coordinates Review
  462.    wt: 1:   Appetizer A Complex Number Applet
  463.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  464.    wt: 1:   12 Triangles Similarity More Problems
  465.    wt: 1:   11 Triangle Similarity Missing Side Problem
  466.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  467.    wt: 1:   9 Similarity of Triangles Usual Criteria
  468.    wt: 1:   8 Similarity of Triangles and Polygons
  469.    wt: 1:   7 Translations Rotations Reflections Dilatations
  470.    wt: 1:   4 Similarity Definition with Coordinate
  471.    wt: 1:   3 Similarity by Design with coordinates
  472.    wt: 1:   2 Similarity By Design
  473.    wt: 1:   1 Early Concept of Like or Similar Shapes
  474.    wt: 1:   Four Simple Exercises
  475.    wt: 1:   12 Links Lessons elsewhere
  476.    wt: 1:   11 A Partial Summary
  477.    wt: 1:   10 Midpoint of [a b] and [b a]
  478.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  479.    wt: 1:   7 Exercises to test skill and concept mastery
  480.    wt: 1:   5 Algebraic View of Slopes
  481.    wt: 1:   1 Numerical view of lines and their equations
  482.    wt: 1:   What is and is not here
  483.    wt: 1:   12 Spatial Coordinates
  484.    wt: 1:   11 Triangle Inequality
  485.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  486.    wt: 1:   8 Distance Between Points on a Line
  487.    wt: 1:   7 Complex Numbers Appetizer
  488.    wt: 1:   5 Cartesian Addition and Translation
  489.    wt: 1:   4 Polar Coordinates to and from
  490.    wt: 1:   3 Rectangular Coordinates Review
  491.    wt: 1:   2 Cartesian Coordinates with signs
  492.    wt: 1:   1 Cartesian Coordinates sans signs
  493.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  494.    wt: 1:   PS G Rotation Distributes over Addition
  495.    wt: 1:   PS E Multiplication with Polar Coordinates
  496.    wt: 1:   PS D Addition with Cartesian Coordinates
  497.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  498.    wt: 1:   PS B Parallelogram Construction Methods
  499.    wt: 1:   PS A Kite Construction Methods
  500.    wt: 1:   21 Parallelograms
  501.    wt: 1:   19 Right Triangle Similarity
  502.    wt: 1:   18 Triangle Similarity Take 1
  503.    wt: 1:   17 Right Bisectors of Triangle Sides
  504.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  505.    wt: 1:   14 Parallel Lines Postulate
  506.    wt: 1:   13 Angle Side Angle Failure
  507.    wt: 1:   12 Side Angle Side Failure
  508.    wt: 1:   11 Triangle Construction Fails
  509.    wt: 1:   10 Dropping a perpendicular to line
  510.    wt: 1:   9 Construction of a right bisector
  511.    wt: 1:   8 Isoceles Triangles
  512.    wt: 1:   7 Angle Side Angle
  513.    wt: 1:   5 Side Angle Side
  514.    wt: 1:   4 Side Side Side
  515.    wt: 1:   3 Isometry of Triangles Congruence
  516.    wt: 1:   2 Correspondence between Triangles
  517.    wt: 1:   1 Initial Concepts and Terms
  518.    wt: 1:   Short Course on Euclidean Geometry
  519.    wt: 1:   A Measurement with Ruler Proper Use
  520.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  521.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  522.    wt: 1:   4 Angles on Maps Plans drawn to scale
  523.    wt: 1:   3 Lengths and Areas on Maps and Plans
  524.    wt: 1:   2 Measuring Area Directly
  525.    wt: 1:   1 Length Measurement
  526.    wt: 1:   About Folder Contents
  527.    wt: 1:   26 More Less Greater Than Comparison
  528.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  529.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  530.    wt: 1:   5 Distributive Law for Whole Numbers
  531.    wt: 1:   4 Commutative Law Groups Counting Form
  532.    wt: 1:   5 Proportionality in Equivalent Fractions
  533.    wt: 1:   4 Rates Ratios and Proporitionality
  534.    wt: 1:   3 Proportionality Examples
  535.    wt: 1:   2 Algebraic View
  536.    wt: 1:   1 What is Proportionality
  537.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  538.    wt: 1:   3 Linear Equation Literal Solution More
  539.    wt: 1:   2 Linear Equation Literal Solution
  540.    wt: 1:   1 Changing Calculations
  541.    wt: 1:   6 Equations and Systems Equivalent or Implied
  542.    wt: 1:   3 Product Axioms Two Forms
  543.    wt: 1:   5 Greater More Less Than Signs in General
  544.    wt: 1:   4 Comparison of Negative Numbers
  545.    wt: 1:   3 More and Less Than with Unlike Signs
  546.    wt: 1:   1 Real Numbers Comparison
  547.    wt: 1:   16 Real Numbers Comparison
  548.    wt: 1:   9 Coordinates for Regions in Space
  549.    wt: 1:   8 Coordinates for Maps and Planes
  550.    wt: 1:   6 Unsigned Real Numbers
  551.    wt: 1:   3 Geometric Formulas and Function Notation
  552.    wt: 1:   1 Formulas Dependence and Function Notation
  553.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  554.    wt: 1:   5 Algebraic Solutions Introduction
  555.    wt: 1:   4 Four Examples Fractional Coefficients
  556.    wt: 1:   3 Four Examples
  557.    wt: 1:   2 Three Examples
  558.    wt: 1:   1 Proper Equal Sign Usage
  559.    wt: 1:   Using Letters for Physical Quantities
  560.    wt: 1:   6 Power Set Notation
  561.    wt: 1:   6 Three Notions of What is a Variable
  562.    wt: 1:   1 Three Skills For Algebra
  563.    wt: 1:   arithmetic videos Real Player Format
  564.    wt: 1:   1 More and Less Than for Counts and Measures
  565.    wt: 1:   3 Properties of Square Roots with example
  566.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  567.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  568.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  569.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  570.    wt: 1:   6 GCD from Prime
  571.    wt: 1:   2 Least Common Multiple LCM intro via list method
  572.    wt: 1:   12 GCD 2700 288 via Prime
  573.    wt: 1:   2 Counting with Tables and Trees I
  574.    wt: 1:   4 signed coordinates for regions in space
  575.    wt: 1:   3 signed coordinates for maps and planes
  576.    wt: 1:   7 Converting or Changing Units
  577.    wt: 1:   4 Fractions with Units
  578.    wt: 1:   3 Multiplying Units and Numbers
  579.    wt: 1:   2 Equality and Units
  580.    wt: 1:   1 Addition and Subtraction with Units
  581.    wt: 1:   11 Adding Integers Formulas and Examples
  582.    wt: 1:   10 Integer Multiplication Formulas
  583.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  584.    wt: 1:   26 Divisibility by 2 3 5 Example
  585.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  586.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  587.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  588.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  589.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  590.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  591.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  592.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  593.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  594.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  595.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  596.    wt: 1:   2 Prime and Composites less than 16
  597.    wt: 1:   Long Division forwards and backwards Example 3
  598.    wt: 1:   Long Division forwards and backwards Example 2
  599.    wt: 1:   Long Division forwards and backwards Example 1
  600.    wt: 1:   A Elementary Basis for Multiplication Methods
  601.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  602.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  603.    wt: 1:   5 A Tip for Efficent Subtraction
  604.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  605.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  606.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  607.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  608.    wt: 1:   Quick history of numbers and algebra
  609.    wt: 1:   Formula Evaluation how to show work
  610.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  611.    wt: 1:   016 Numbering Occidental Calendar Days
  612.    wt: 1:   6 How long is a million seconds
  613.    wt: 1:   Example 2 volume of a cone
  614.    wt: 1:   Example 1 volume of a pyramid
  615.    wt: 1:   Volume of Solid by Cross Sections Lesson
  616.    wt: 1:   4 Definite Integrals Evaluation Exercises
  617.    wt: 1:   36 Cube root derivative animated
  618.    wt: 1:   28 Chain Rule Preparation for a Proof
  619.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  620.    wt: 1:   26 Chain Rule Recognising outer inner functions
  621.    wt: 1:   25 Chain Rule Animated Examples Continued
  622.    wt: 1:   22 Chain Rule for polynomials
  623.    wt: 1:   21 Chain Rule for powers
  624.    wt: 1:   20 Chain Rule for Pulley Systems
  625.    wt: 1:   19 Chain Rule for linear functions
  626.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  627.    wt: 1:   13 sine and cosine derivatives 1st step
  628.    wt: 1:   10 Power rule for negative integers
  629.    wt: 1:   8 Differentiation of polynomials
  630.    wt: 1:   6 Power rule from product rule
  631.    wt: 1:   3 Motivation for Limit Definition Take 2
  632.    wt: 1:   2 Motivation for Limit Definition Take 1
  633.    wt: 1:   3 Decimal insights for limits continuity convergence
  634.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  635.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  636.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  637.    wt: 1:   D2 Limits of Monotone Sequences
  638.    wt: 1:   PostScript For and Against Decimal Perspectives
  639.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  640.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  641.    wt: 1:   Chapter 23 Links To Trigonometry
  642.    wt: 1:   Chapter 22 Complex Numbers
  643.    wt: 1:   Chapter 21 Arrow Addition
  644.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  645.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  646.    wt: 1:   Chapter 18. Slopes Areas Integration
  647.    wt: 1:   Chapter 17. Area Approximation
  648.    wt: 1:   Chapter 15. Slope Approximation
  649.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  650.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  651.    wt: 1:   Chapter 13. Acceleration
  652.    wt: 1:   Chapter 12. Units and Slopes
  653.    wt: 1:   Chapter 11. Graphing Slope versus Position
  654.    wt: 1:   Chapter 10 Slopes and Units
  655.    wt: 1:   Chapter 9 About First Courses in Calculus
  656.    wt: 1:   Chapter 8. Slope Interpretation
  657.    wt: 1:   Chapter 7 Slopes and Velocity
  658.    wt: 1:   Chapter 5. Slope Sign Tests
  659.    wt: 1:   Chapter 4. More Slope Sign Analysis
  660.    wt: 1:   Chapter 3. Slope Sign Analysis
  661.    wt: 1:   Chapter 2. Slopes and Ski Trails
  662.    wt: 1:   Chapter 1.Introduction
  663.    wt: 1:   Fall 1983 Calculus Appetizer
  664.    wt: 1:   Appendix D. What to do in School and Why
  665.    wt: 1:   Appendix C. How to Read
  666.    wt: 1:   Appendix B. How To Learn
  667.    wt: 1:   Chapter 31 Direct and Indirect Reason
  668.    wt: 1:   Chapter 30 Truth Tables
  669.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  670.    wt: 1:   Chapter 28 Occurrence Tables
  671.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  672.    wt: 1:   Chapter 25. Mathematical Induction Examples
  673.    wt: 1:   Chapter 25. Mathematical Induction Examples
  674.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  675.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  676.    wt: 1:   Chapter 20. Degrees and Radians
  677.    wt: 1:   Chapter 19. Functions and Sets
  678.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  679.    wt: 1:   Chapter 15. Solving Linear Equations
  680.    wt: 1:   Chapter 11. Why Shorthand
  681.    wt: 1:   Chapter 10 Describing and Changing Calculations
  682.    wt: 1:   Postscript What is a Variable
  683.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  684.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  685.    wt: 1:   Chapter 4 Longer Chains of Reason
  686.    wt: 1:   Chapter 3 Chains of Reason
  687.    wt: 1:   Annotated Links to Material Elsehwere
  688.    wt: 1:   Postscript A Three Remarks
  689.    wt: 1:   Chapter 12 Four Phases
  690.    wt: 1:   Chapter 11 Elementary Instruction
  691.    wt: 1:   Chapter 10 Transition
  692.    wt: 1:   Chapter 9 The Two Ends
  693.    wt: 1:   Chapter 8 Modern Instruction
  694.    wt: 1:   Chapter 7 Two Treatments of Geometry
  695.    wt: 1:   Chapter 5 Four References
  696.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  697.    wt: 1:   Chapter 3 Algebra Difficulties
  698.    wt: 1:   Chapter 1 Introduction
  699.    wt: 1:   Postscript C Consistency as a Tool for Reason
  700.    wt: 1:   Postscript B More on Story Telling and Reason
  701.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  702.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  703.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  704.    wt: 1:   Foreword
  705.    wt: 1:   R Why Learn Mathematics Skills
  706.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  707.    wt: 1:   O On Learning Mathematics and Science
  708.    wt: 1:   F. The student teacher tutor feedback loop
  709.    wt: 1:   More Algebra and Slope based Calculus Preview
  710.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  711.    wt: 1:   Systematic Algebra Skill Development Missing Links
  712.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  713.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  714.    wt: 1:   Which Way To Go
  715.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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