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 Combinatorics Trees Tables and Products/
  5.    wt: 2:   Parent Center/
  6.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  7.    wt: 2:   9 Proportionality Backwards and Forwards/
  8.    wt: 2:   2 Formula Forward Use Evaluation/
  9.    wt: 2:   8 Arithmetic with Signed Numbers/
  10.    wt: 2:   7 Arithmetic and Fractions with Units/
  11.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  12.    wt: 2:   D Decimal Long Division Methods/
  13.    wt: 2:   C Decimal Multiplication Methods/
  14.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  15.    wt: 2:   A Decimal Counting and Adding Methods/
  16.    wt: 2:   2 Arithmetic with Decimals/
  17.    wt: 2:   Mathematics Skill Development Framework/
  18.    wt: 1:   Archives/
  19.    wt: 1:   Direct Current Electric Circuits/
  20.    wt: 1:   8 Unifying Theme For Algebra/
  21.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  22.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  23.    wt: 1:   11 Squares and Square Roots/
  24.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  25.    wt: 1:   6 Fractions and Ratios/
  26.    wt: 1:   5 Integers/
  27.    wt: 1:   3 Prime Factorization Skills/
  28.    wt: 1:   1 Decimal Place Value/
  29.    wt: 1:   Arithmetic and Number Theory Skills/
  30.    wt: 1:   Volume 2 Three Skills For Algebra/
  31.    wt: 1:   Work and Study Tips/

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264 matches:

  1.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  2.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  3.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  4.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  5.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  6.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  7.    wt: 2:   Applied Maths Program14092009 POMME variant
  8.    wt: 2:   formal or informal peer review
  9.    wt: 2:   Prequel In For A Penny In For A Pound
  10.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  11.    wt: 2:   5 Function notation for geometric transformations
  12.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  13.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  14.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  15.    wt: 2:   9 motivation for name arcsin
  16.    wt: 2:   29 secant cosecant and cotangent for acute angles
  17.    wt: 2:   26 Formulas for products of sines and cosines
  18.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  19.    wt: 2:   17E Trig Formulas for dot and cross Products
  20.    wt: 2:   17D cis formulas for sine cosines and tangent
  21.    wt: 2:   3 sines and cosines for reference angle 90 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:   9 Coordinates for Regions in Space
  26.    wt: 2:   Formula Usage Show Work Format
  27.    wt: 2:   1 Written work formats for developing and showing skill
  28.    wt: 2:   arithmetic videos Real Player Format
  29.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  30.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  31.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  32.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  33.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  34.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  35.    wt: 2:   9 video Prime Factorization upto 19 squared
  36.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  37.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  38.    wt: 2:   38 Formulas and derivatives for powers and roots
  39.    wt: 2:   19 Chain Rule for linear functions
  40.    wt: 2:   Postscript For Better Performance
  41.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  42.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  43.    wt: 2:   Solutions For Arithmetic Exercises
  44.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  45.    wt: 2:   G. Written work formats for developing and showing skill
  46.    wt: 1:   Appendix 2 primary school Arithmetic 01
  47.    wt: 1:   Skills Chapter 1 Arithmetic
  48.    wt: 1:   9 combinatorics probability sets
  49.    wt: 1:   2 arithmetic with signed numbers
  50.    wt: 1:   1 arithmetic with unsigned numbers
  51.    wt: 1:   three goals to set for students
  52.    wt: 1:   permissions for teachers
  53.    wt: 1:   activities for students
  54.    wt: 1:   Education Reform Inconsistencies
  55.    wt: 1:   geometric implications for algebra
  56.    wt: 1:   three goals for Mathematics Education
  57.    wt: 1:   04 29 New Mathematics Curriculum
  58.    wt: 1:   02 21 words for teachers
  59.    wt: 1:   three aims for mathematics students
  60.    wt: 1:   standards for course material
  61.    wt: 1:   Four ways to improve education reform
  62.    wt: 1:   need for a mixed mathematics curriculum
  63.    wt: 1:   fairness and inductive principles for instruction
  64.    wt: 1:   words for mathematics instructor
  65.    wt: 1:   chapitre 04 09 Regles accidentelles
  66.    wt: 1:   4 Energy Power Heat09
  67.    wt: 1:   C Electromotive force conventional current02
  68.    wt: 1:   B Electromotive force conventional current01
  69.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  70.    wt: 1:   24 Standards For Skill Develoment Take II
  71.    wt: 1:   24 Standards For Skill Develoment
  72.    wt: 1:   22 Student Centered Highschool Mathematics
  73.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  74.    wt: 1:   17 Math Booklets for children and young teenagers
  75.    wt: 1:   15 Counting For Parents
  76.    wt: 1:   12 Goals and Objectives For Mathematics
  77.    wt: 1:   10 Ends values for work study instruction
  78.    wt: 1:   9 Streaming by Student Cooperation
  79.    wt: 1:   5 Patience Please for Yourself and Your Charges
  80.    wt: 1:   4 Learning Takes Time and Effort
  81.    wt: 1:   3 Preparing for Science Studies
  82.    wt: 1:   Ages 12 to 14 Arithmetic
  83.    wt: 1:   Ages 10 to 12 Arithmetic
  84.    wt: 1:   Ages 9 to 10
  85.    wt: 1:   Ages 8 to 9
  86.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  87.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  88.    wt: 1:   19 Horizontal line rule and method
  89.    wt: 1:   9 Set theory term relation possible origins
  90.    wt: 1:   6 Set Existence Formation and Notation
  91.    wt: 1:   3 Formula or function graphing exercise
  92.    wt: 1:   Introduction Reading Guide
  93.    wt: 1:   9 quadratics physical and further context
  94.    wt: 1:   8 quadratics backward use of various formulas
  95.    wt: 1:   7 quadratic formulla derivation
  96.    wt: 1:   8 Notes for instructors or tutors
  97.    wt: 1:   12 motivation for term arctan
  98.    wt: 1:   4 possible motivation for term arccos
  99.    wt: 1:   9 Summary Degrees to Radians and back
  100.    wt: 1:   9 Head to Tail Coordinate View
  101.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  102.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  103.    wt: 1:   9 Straight Lines through Origin Equations
  104.    wt: 1:   8 Straight Lines Equation for vertical
  105.    wt: 1:   17 tangent function angle sum formulas
  106.    wt: 1:   25 tangent double angle formula Slope connection
  107.    wt: 1:   24 tangent Angle Difference Formula
  108.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  109.    wt: 1:   21 sine and cosine Half Angle Formulas
  110.    wt: 1:   20 sine and cosine Double Angle Formulas
  111.    wt: 1:   17C sine and cosine double triple angle formulas
  112.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  113.    wt: 1:   12 Graph of tangent function for one period
  114.    wt: 1:   9 Graphs of sine and cosine over one period
  115.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  116.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  117.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  118.    wt: 1:   19 N th Roots of Unity
  119.    wt: 1:   11 sine and cosine double triple angle formulas
  120.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  121.    wt: 1:   9 The complex number valued trig function cis
  122.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  123.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  124.    wt: 1:   9 Similarity of Triangles Usual Criteria
  125.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  126.    wt: 1:   8 Mid Point Formula
  127.    wt: 1:   3 Slope product for perpendicular lines
  128.    wt: 1:   2 point slope equation for a line
  129.    wt: 1:   13 Pythagorean spatial distance formulas
  130.    wt: 1:   10 Pythagorean plane distance formula
  131.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  132.    wt: 1:   PS H Distributive Law For Complex Numbers
  133.    wt: 1:   19 Right Triangle Similarity
  134.    wt: 1:   9 Construction of a right bisector
  135.    wt: 1:   A Modular and Remainder Arithmetic
  136.    wt: 1:   A Signed Number Arithmetic Review
  137.    wt: 1:   19 Signed Multiples of Vectors
  138.    wt: 1:   9 Division with Digits after Decimal Point
  139.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  140.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  141.    wt: 1:   6 Column Methods for Decimal Multiplication
  142.    wt: 1:   5 Distributive Law for Whole Numbers
  143.    wt: 1:   4 Commutative Law Groups Counting Form
  144.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  145.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  146.    wt: 1:   6 Compound Interest Forward and Backwards
  147.    wt: 1:   5 Triangle Area Formula Backwards
  148.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  149.    wt: 1:   3 Product Axioms Two Forms
  150.    wt: 1:   2 More and Less Than for Counts and Measures
  151.    wt: 1:   8 Coordinates for Maps and Planes
  152.    wt: 1:   3 Geometric Formulas and Function Notation
  153.    wt: 1:   1 Formulas Dependence and Function Notation
  154.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  155.    wt: 1:   9 Three Examples
  156.    wt: 1:   Using Letters for Physical Quantities
  157.    wt: 1:   13 Naming Identifying Formulas with Words
  158.    wt: 1:   9 Volume of Cone
  159.    wt: 1:   8 Compound Interest Formula Evaluation
  160.    wt: 1:   7 Compound Interest Formula Introduction
  161.    wt: 1:   5 Box Volume Formula Example
  162.    wt: 1:   4 Circle Area Formula Example
  163.    wt: 1:   3 Triangle Area Formula Example
  164.    wt: 1:   2 Another Rectangle Area Formula Example
  165.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  166.    wt: 1:   9 Sets in Probability and Statistics
  167.    wt: 1:   3 Adding Words To Arithmetic
  168.    wt: 1:   1 Three Skills For Algebra
  169.    wt: 1:   1 More and Less Than for Counts and Measures
  170.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  171.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  172.    wt: 1:   9 subtracting signed numbers
  173.    wt: 1:   4 signed coordinates for regions in space
  174.    wt: 1:   3 signed coordinates for maps and planes
  175.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  176.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  177.    wt: 1:   21 Reciprocals for Fractions and Wholes
  178.    wt: 1:   19 Dividing Fractions How TO
  179.    wt: 1:   9 Improper Fractions and Mixed Numbers
  180.    wt: 1:   11 Adding Integers Formulas and Examples
  181.    wt: 1:   10 Integer Multiplication Formulas
  182.    wt: 1:   9 Multiplying Integers
  183.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  184.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  185.    wt: 1:   23 Remainder Arithmetic Modulo 2
  186.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  187.    wt: 1:   21 Remainder Arithmetic Modulo 3
  188.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  189.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  190.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  191.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  192.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  193.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  194.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  195.    wt: 1:   5 Remainder Arithmetic Modulo 5
  196.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  197.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  198.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  199.    wt: 1:   1 Remainder Arithmetic Modulo 10
  200.    wt: 1:   19 video Prime Factorization Unique
  201.    wt: 1:   16 video Factors of 980 using prime
  202.    wt: 1:   8 video Prime Factorization upto 19
  203.    wt: 1:   3 video Primes and Composites from 9 times table
  204.    wt: 1:   Long Division forwards and backwards Example 3
  205.    wt: 1:   Long Division forwards and backwards Example 2
  206.    wt: 1:   Long Division forwards and backwards Example 1
  207.    wt: 1:   9 Why Long Division Works Take II
  208.    wt: 1:   A Elementary Basis for Multiplication Methods
  209.    wt: 1:   9 22 Minute Subtraction Review Video
  210.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  211.    wt: 1:   5 A Tip for Efficent Subtraction
  212.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  213.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  214.    wt: 1:   Exact Arithmetic Wholes and Fractions
  215.    wt: 1:   Formula Evaluation how to show work
  216.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  217.    wt: 1:   5 Conversion Arithmetic
  218.    wt: 1:   29 Chain Rule Optional Reading
  219.    wt: 1:   28 Chain Rule Preparation for a Proof
  220.    wt: 1:   22 Chain Rule for polynomials
  221.    wt: 1:   21 Chain Rule for powers
  222.    wt: 1:   20 Chain Rule for Pulley Systems
  223.    wt: 1:   10 Power rule for negative integers
  224.    wt: 1:   9 Reciprocal rule
  225.    wt: 1:   3 Motivation for Limit Definition Take 2
  226.    wt: 1:   2 Motivation for Limit Definition Take 1
  227.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  228.    wt: 1:   9 Limits Continuity and Composition
  229.    wt: 1:   3 Decimal insights for limits continuity convergence
  230.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  231.    wt: 1:   PostScript For and Against Decimal Perspectives
  232.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  233.    wt: 1:   Chapter 9 About First Courses in Calculus
  234.    wt: 1:   Fall 1983 Calculus Appetizer
  235.    wt: 1:   Foreword
  236.    wt: 1:   Postscript More on Better Performance
  237.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  238.    wt: 1:   Chapter 23. Notation For Sums
  239.    wt: 1:   Chapter 21. Third Reading Guide
  240.    wt: 1:   Chapter 19. Functions and Sets
  241.    wt: 1:   Chapter 18. Rules for Algebra
  242.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  243.    wt: 1:   Chapter 13. Second Reading Guide
  244.    wt: 1:   Chapter 12. Shorthand Usage Guide
  245.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  246.    wt: 1:   Chapter 8 Three Skills For Algebra
  247.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  248.    wt: 1:   Foreword
  249.    wt: 1:   Chapter 9 The Two Ends
  250.    wt: 1:   Chapter 2 For and Against Mathematics
  251.    wt: 1:   Foreword
  252.    wt: 1:   Postscript C Consistency as a Tool for Reason
  253.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  254.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  255.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  256.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  257.    wt: 1:   Foreword
  258.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  259.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  260.    wt: 1:   N Mathematics Prepare for College Studies
  261.    wt: 1:   M Words to extend arithmetic
  262.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  263.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  264.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year

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  1.    wt: 7:   arithmetic videos Real Player Format
  2.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  3.    wt: 5:   Appendix 2 primary school Arithmetic 01
  4.    wt: 5:   9 combinatorics probability sets
  5.    wt: 5:   Applied Maths Program14092009 POMME variant
  6.    wt: 5:   formal or informal peer review
  7.    wt: 5:   Prequel In For A Penny In For A Pound
  8.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  9.    wt: 5:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  10.    wt: 5:   18 Remainder Arithmetic Rule of 9 for checking sums II
  11.    wt: 5:   17 Remainder Arithmetic Rule of 9 for checking sums I
  12.    wt: 5:   15 Remainder Arithmetic Modulo 9 Example
  13.    wt: 5:   1 Links to Online Resources Elsewhere Take 1
  14.    wt: 4:   Appendix 1 primary and preschool mathematic
  15.    wt: 4:   Skills Chapter 1 Arithmetic
  16.    wt: 4:   2 arithmetic with signed numbers
  17.    wt: 4:   1 arithmetic with unsigned numbers
  18.    wt: 4:   three goals to set for students
  19.    wt: 4:   permissions for teachers
  20.    wt: 4:   activities for students
  21.    wt: 4:   mathematics in context
  22.    wt: 4:   Education Reform Inconsistencies
  23.    wt: 4:   Secondary One Mathematics
  24.    wt: 4:   geometric implications for algebra
  25.    wt: 4:   three goals for Mathematics Education
  26.    wt: 4:   04 29 New Mathematics Curriculum
  27.    wt: 4:   02 21 words for teachers
  28.    wt: 4:   three aims for mathematics students
  29.    wt: 4:   standards for course material
  30.    wt: 4:   Four ways to improve education reform
  31.    wt: 4:   How to be a better instructor
  32.    wt: 4:   need for a mixed mathematics curriculum
  33.    wt: 4:   fairness and inductive principles for instruction
  34.    wt: 4:   words for mathematics instructor
  35.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  36.    wt: 4:   9 Streaming by Student Cooperation
  37.    wt: 4:   9 Formulas for Real Exponents with Logarithms
  38.    wt: 4:   8 Straight Lines Equation for vertical
  39.    wt: 4:   musings do not puiblish real numbers
  40.    wt: 4:   9 Circle Area and Perimeter Formula Backwards Forwards
  41.    wt: 4:   1 Written work formats for developing and showing skill
  42.    wt: 4:   5 Counting with Tables Trees Product Rule Take II
  43.    wt: 4:   9 subtracting signed numbers
  44.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  45.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  46.    wt: 4:   14 Remainder Arithmetic Modulo 9 Example
  47.    wt: 4:   9 Remainder Arithmetic Divisibility by 5
  48.    wt: 4:   5 Remainder Arithmetic Modulo 5
  49.    wt: 4:   9 video Prime Factorization upto 19 squared
  50.    wt: 4:   Long Division forwards and backwards Example 1
  51.    wt: 4:   9 Why Long Division Works Take II
  52.    wt: 4:   9 22 Minute Subtraction Review Video
  53.    wt: 4:   A Related lessons in Volume 3
  54.    wt: 4:   Postscript One Sided and Intermediate Value Theorems
  55.    wt: 4:   Postscript Unifying Theme A Fourth Skill For Algebra
  56.    wt: 4:   Ends Values Methods For Skill Development Framework Prequel
  57.    wt: 3:   K LAMP Musings Science Education
  58.    wt: 3:   J LAMP Introduction Extrinsic Origins
  59.    wt: 3:   I LAMP Introduction Study Habits
  60.    wt: 3:   H LAMP Introduction Instructional Concepts
  61.    wt: 3:   G LAMP Introduction Problem Solving Skills
  62.    wt: 3:   F LAMP Introduction Prerequisites
  63.    wt: 3:   E LAMP Introduction Modern Mathematics
  64.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  65.    wt: 3:   B LAMP Introduction Curriculum Development Standards
  66.    wt: 3:   A Introduction Objectives
  67.    wt: 3:   Skills Chapter 5 Calculus
  68.    wt: 3:   Skills Chapter 4 Logic
  69.    wt: 3:   Ramblings Extrinsic numbers theory
  70.    wt: 3:   Ramblings Introduction Algebra Essay
  71.    wt: 3:   Skills Chapter 3 Algebra
  72.    wt: 3:   Skills Chapter 2 Geometry
  73.    wt: 3:   Skills Chapter 0 Introduction
  74.    wt: 3:   11 pure mathematics
  75.    wt: 3:   10 statistics
  76.    wt: 3:   8 analytic geometry etc
  77.    wt: 3:   7 logic review and decimals an odd combination
  78.    wt: 3:   6 polynomials etc
  79.    wt: 3:   5 logarithms and exponentials etc
  80.    wt: 3:   4 algebra
  81.    wt: 3:   3 Euclidean Geometry Leanly
  82.    wt: 3:   What is POMME
  83.    wt: 3:   why bother
  84.    wt: 3:   which way to go
  85.    wt: 3:   website reviews
  86.    wt: 3:   Teach the teachers plus goals
  87.    wt: 3:   Math Ed if it must be short make it lean effective
  88.    wt: 3:   links Education Resources online
  89.    wt: 3:   site origins
  90.    wt: 3:   site eurekas
  91.    wt: 3:   About site lesson plans
  92.    wt: 3:   key notes and themes
  93.    wt: 3:   Mathematics Education Professors
  94.    wt: 3:   teacher certification
  95.    wt: 3:   modern education
  96.    wt: 3:   learning takes time
  97.    wt: 3:   grouping students according to ability
  98.    wt: 3:   what should be learnt and When
  99.    wt: 3:   Postscript 2007 01 10
  100.    wt: 3:   five decades make a difference
  101.    wt: 3:   Maps Plans Drawings
  102.    wt: 3:   how letters appear
  103.    wt: 3:   Secondary Three Mathematics
  104.    wt: 3:   Secondary Two Mathematics
  105.    wt: 3:   talk the algebra talk
  106.    wt: 3:   three difficulties
  107.    wt: 3:   teaching tips
  108.    wt: 3:   What to Tell Students
  109.    wt: 3:   mathematics curriculum shifts
  110.    wt: 3:   teaching tutoring algebraic reason
  111.    wt: 3:   Lessening Algebra Difficulties
  112.    wt: 3:   the trouble with algebra
  113.    wt: 3:   05 13 OldSiteEntrancePage
  114.    wt: 3:   04 25 when to stop or suspend mathemat
  115.    wt: 3:   02 20 mathematics education references
  116.    wt: 3:   Operational Viewpoint to Value
  117.    wt: 3:   Theory of Knowledge
  118.    wt: 3:   mathematics instruction in general
  119.    wt: 3:   Education in mathematics science and technology
  120.    wt: 3:   Different Kinds of Reasoning in maths
  121.    wt: 3:   three kinds of reason in mathematics
  122.    wt: 3:   cultivating intelligence
  123.    wt: 3:   Motivation and Context Problem
  124.    wt: 3:   Leaner mathematics curriculum
  125.    wt: 3:   education an empirical art
  126.    wt: 3:   4 Energy Power Heat09
  127.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  128.    wt: 3:   24 Standards For Skill Develoment Take II
  129.    wt: 3:   24 Standards For Skill Develoment
  130.    wt: 3:   22 Student Centered Highschool Mathematics
  131.    wt: 3:   17 Math Booklets for children and young teenagers
  132.    wt: 3:   15 Counting For Parents
  133.    wt: 3:   12 Goals and Objectives For Mathematics
  134.    wt: 3:   10 Ends values for work study instruction
  135.    wt: 3:   5 Patience Please for Yourself and Your Charges
  136.    wt: 3:   4 Learning Takes Time and Effort
  137.    wt: 3:   3 Preparing for Science Studies
  138.    wt: 3:   9 Straight Lines through Origin Equations
  139.    wt: 3:   1 Straight Lines Slope Concept
  140.    wt: 3:   13 Naming Identifying Formulas with Words
  141.    wt: 3:   9 Volume of Cone
  142.    wt: 3:   8 Compound Interest Formula Evaluation
  143.    wt: 3:   7 Compound Interest Formula Introduction
  144.    wt: 3:   5 Box Volume Formula Example
  145.    wt: 3:   4 Circle Area Formula Example
  146.    wt: 3:   3 Triangle Area Formula Example
  147.    wt: 3:   2 Another Rectangle Area Formula Example
  148.    wt: 3:   4 Counting with Trees Product Rule Take I
  149.    wt: 3:   3 Counting with Tables and Trees II
  150.    wt: 3:   2 Counting with Tables and Trees I
  151.    wt: 3:   1 Counting and Counting Methods I
  152.    wt: 3:   4 signed coordinates for regions in space
  153.    wt: 3:   3 signed coordinates for maps and planes
  154.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  155.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  156.    wt: 3:   9 Multiplying Integers
  157.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  158.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  159.    wt: 3:   23 Remainder Arithmetic Modulo 2
  160.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  161.    wt: 3:   21 Remainder Arithmetic Modulo 3
  162.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  163.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  164.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  165.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  166.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  167.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  168.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  169.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  170.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  171.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  172.    wt: 3:   1 Remainder Arithmetic Modulo 10
  173.    wt: 3:   19 video Prime Factorization Unique
  174.    wt: 3:   Long Division Backwards more
  175.    wt: 3:   Long Division Backward
  176.    wt: 3:   Long Division forwards and backwards Example 3
  177.    wt: 3:   Long Division forwards and backwards Example 2
  178.    wt: 3:   C Counting Areas with Powers of Ten
  179.    wt: 3:   A Elementary Basis for Multiplication Methods
  180.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  181.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  182.    wt: 3:   Subtraction with J Conversions Example
  183.    wt: 3:   Subtraction Another Video Lesson
  184.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  185.    wt: 3:   5 A Tip for Efficent Subtraction
  186.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  187.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  188.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  189.    wt: 3:   38 Formulas and derivatives for powers and roots
  190.    wt: 3:   Postscript For Better Performance
  191.    wt: 3:   Appendix A. Reading Guide For Next Appendices
  192.    wt: 3:   Chapter 29 Contrapositive and Vacuously True Implications
  193.    wt: 3:   Chapter 19. Functions and Sets
  194.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  195.    wt: 3:   Chapter 9 Talking about Numbers or Quantities
  196.    wt: 3:   Solutions For Arithmetic Exercises
  197.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  198.    wt: 3:   G. Written work formats for developing and showing skill
  199.    wt: 3:   Helping the Blind in Logic and Mathematics
  200.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  201.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  202.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  203.    wt: 2:   1 Conductance Resistance Duality01
  204.    wt: 2:   H Series Circuit02
  205.    wt: 2:   C Electromotive force conventional current02
  206.    wt: 2:   B Electromotive force conventional current01
  207.    wt: 2:   Home Tutoring and Home Schooling
  208.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  209.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  210.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  211.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  212.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  213.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  214.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  215.    wt: 2:   18 Primary School Mathematics
  216.    wt: 2:   16 Secondary Mathematics Tips
  217.    wt: 2:   14 Multiplication and Times Tables
  218.    wt: 2:   13 Addition and Addition Tables
  219.    wt: 2:   11 Help and Defend Your Child or Teens Education
  220.    wt: 2:   8 The Effect of Negative Remarks
  221.    wt: 2:   7 Student Motivation
  222.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  223.    wt: 2:   2 Reading and Writing Skills
  224.    wt: 2:   1 Speaking Skills
  225.    wt: 2:   Ages 9 to 10
  226.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  227.    wt: 2:   19 Horizontal line rule and method
  228.    wt: 2:   9 Set theory term relation possible origins
  229.    wt: 2:   5 Function notation for geometric transformations
  230.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  231.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  232.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  233.    wt: 2:   9 motivation for name arcsin
  234.    wt: 2:   8 Radian Measures of Common Angles
  235.    wt: 2:   9 Head to Tail Coordinate View
  236.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  237.    wt: 2:   C Straight Lines Slope from Coordinates
  238.    wt: 2:   B Straight Line Slope Scaling Properties More
  239.    wt: 2:   A Straight Line Slope Scaling Properties
  240.    wt: 2:   14 Straight Lines Equations General Case
  241.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  242.    wt: 2:   12 Straight Lines Graphing mx plus b
  243.    wt: 2:   11 Straight Lines Graphing y=mx
  244.    wt: 2:   10 Straight Lines through Origin Equations More
  245.    wt: 2:   7 Tangent Function is odd on this domain
  246.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  247.    wt: 2:   5 Tangent Function Graph
  248.    wt: 2:   4 Tangent Function Properties
  249.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  250.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  251.    wt: 2:   29 secant cosecant and cotangent for acute angles
  252.    wt: 2:   26 Formulas for products of sines and cosines
  253.    wt: 2:   20 sine and cosine Double Angle Formulas
  254.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  255.    wt: 2:   17E Trig Formulas for dot and cross Products
  256.    wt: 2:   17D cis formulas for sine cosines and tangent
  257.    wt: 2:   12 Graph of tangent function for one period
  258.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  259.    wt: 2:   2 Quadrant I reference Angles
  260.    wt: 2:   1 Unit Points Reflections Rotations
  261.    wt: 2:   19 N th Roots of Unity
  262.    wt: 2:   13 Trig Formulas for dot and cross Products
  263.    wt: 2:   12 cis formulas for sine cosines and tangent
  264.    wt: 2:   9 The complex number valued trig function cis
  265.    wt: 2:   9 Similarity of Triangles Usual Criteria
  266.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  267.    wt: 2:   4 Equations for lines three forms
  268.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  269.    wt: 2:   19 Right Triangle Similarity
  270.    wt: 2:   9 Construction of a right bisector
  271.    wt: 2:   A Signed Number Arithmetic Review
  272.    wt: 2:   5 Proportionality in Equivalent Fractions
  273.    wt: 2:   4 Rates Ratios and Proporitionality
  274.    wt: 2:   3 Proportionality Examples
  275.    wt: 2:   2 Algebraic View
  276.    wt: 2:   1 What is Proportionality
  277.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  278.    wt: 2:   6 Compound Interest Forward and Backwards
  279.    wt: 2:   5 Triangle Area Formula Backwards
  280.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  281.    wt: 2:   9 Coordinates for Regions in Space
  282.    wt: 2:   Simple Exercises
  283.    wt: 2:   9 Three Examples
  284.    wt: 2:   Formula Usage Show Work Format
  285.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  286.    wt: 2:   11 Volume of Sphere
  287.    wt: 2:   10 Volume of Pyramid
  288.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  289.    wt: 2:   1 More and Less Than for Counts and Measures
  290.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  291.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  292.    wt: 2:   4 LCM of 8 and 10 via Prime
  293.    wt: 2:   11 What are real lengths and numbers
  294.    wt: 2:   10 dividing signed numbers
  295.    wt: 2:   8 multiplying signed numbers
  296.    wt: 2:   7 negative and additive inverse
  297.    wt: 2:   6 adding signed numbers
  298.    wt: 2:   5 lengths and signs of numbers
  299.    wt: 2:   2 signed and unsigned numbers as coordinates
  300.    wt: 2:   7 Converting or Changing Units
  301.    wt: 2:   6 Simplification of Fractions with Units
  302.    wt: 2:   4 Fractions with Units
  303.    wt: 2:   3 Multiplying Units and Numbers
  304.    wt: 2:   2 Equality and Units
  305.    wt: 2:   1 Addition and Subtraction with Units
  306.    wt: 2:   D Three Term Ratios
  307.    wt: 2:   B Fractions and Two Term Ratios
  308.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  309.    wt: 2:   21 Reciprocals for Fractions and Wholes
  310.    wt: 2:   19 Dividing Fractions How TO
  311.    wt: 2:   16 Addition Subtraction Comparision Compared
  312.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  313.    wt: 2:   9 Improper Fractions and Mixed Numbers
  314.    wt: 2:   11 Adding Integers Formulas and Examples
  315.    wt: 2:   10 Integer Multiplication Formulas
  316.    wt: 2:   26 Divisibility by 2 3 5 Example
  317.    wt: 2:   16 video Factors of 980 using prime
  318.    wt: 2:   8 video Prime Factorization upto 19
  319.    wt: 2:   3 video Primes and Composites from 9 times table
  320.    wt: 2:   Division with Counts and Length
  321.    wt: 2:   12 Why Long Division Works Take III
  322.    wt: 2:   11 Another Single Digit Divisor Example
  323.    wt: 2:   10 Division by Five Long and Short Ways
  324.    wt: 2:   8 Correcting the Mistake
  325.    wt: 2:   7 Long Divison Mistake Catching
  326.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  327.    wt: 2:   5 Long Division Include Zeroes or not
  328.    wt: 2:   4 Division with 2 Digit Divsors
  329.    wt: 2:   3 Division Single Digit Divisor Example
  330.    wt: 2:   2 Division with Single Digit Divisors
  331.    wt: 2:   1 Divsion Physical Examples
  332.    wt: 2:   D Decimal Multiplication Methods Derived
  333.    wt: 2:   B Powers of Ten
  334.    wt: 2:   6 Multiplication Commutes Order Not Important
  335.    wt: 2:   5 Decimal Fraction Multiplication
  336.    wt: 2:   4 Two and Three Digit Multipliers
  337.    wt: 2:   3 More One Digit Multipliers
  338.    wt: 2:   2 One Digit Multipliers
  339.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  340.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  341.    wt: 2:   Video Power Notation in Decimal Expansion
  342.    wt: 2:   1 Why 3 times 5 gives 15
  343.    wt: 2:   8 Subtraction with Units of Measure
  344.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  345.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  346.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  347.    wt: 2:   2 Subtraction Easy Case Examples
  348.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  349.    wt: 2:   8 What skills and work habits to require
  350.    wt: 2:   7 Adding decimal fractions using decimal point
  351.    wt: 2:   6. Counting and adding units and mixed units
  352.    wt: 2:   5. How to add decimals C. Examples
  353.    wt: 2:   4. How to add with decimals B with conversions
  354.    wt: 2:   3. How to add with decimals A sans conversions
  355.    wt: 2:   2 Decimal Counting Practices
  356.    wt: 2:   1. Explaining Addition Table
  357.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  358.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  359.    wt: 2:   Exact Arithmetic Wholes and Fractions
  360.    wt: 2:   Formula Evaluation how to show work
  361.    wt: 2:   The 12 Times Table Visually
  362.    wt: 2:   19 Chain Rule for linear functions
  363.    wt: 2:   2 Motivation for Limit Definition Take 1
  364.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  365.    wt: 2:   Chapter 9 About First Courses in Calculus
  366.    wt: 2:   Postscript More on Better Performance
  367.    wt: 2:   Chapter 23. Notation For Sums
  368.    wt: 2:   Chapter 21. Third Reading Guide
  369.    wt: 2:   Chapter 18. Rules for Algebra
  370.    wt: 2:   Chapter 13. Second Reading Guide
  371.    wt: 2:   Chapter 12. Shorthand Usage Guide
  372.    wt: 2:   Postscript What is a Variable
  373.    wt: 2:   Chapter 8 Three Skills For Algebra
  374.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  375.    wt: 2:   Foreword
  376.    wt: 2:   Chapter 9 The Two Ends
  377.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  378.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  379.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  380.    wt: 2:   S Adding words to algebra
  381.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  382.    wt: 2:   N Mathematics Prepare for College Studies
  383.    wt: 2:   M Words to extend arithmetic
  384.    wt: 2:   I. Logic and language skills
  385.    wt: 2:   Implementation Notes
  386.    wt: 2:   More Algebra and Slope based Calculus Preview
  387.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  388.    wt: 2:   Systematic Algebra Skill Development Missing Links
  389.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  390.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  391.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  392.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  393.    wt: 2:   Which Way To Go
  394.    wt: 1:   chapitre 04 09 Regles accidentelles
  395.    wt: 1:   3 Energy Power Heat08
  396.    wt: 1:   2 Energy Power Heat07
  397.    wt: 1:   1 Energy Power Heat06
  398.    wt: 1:   E Energy Power05
  399.    wt: 1:   D Energy Power04
  400.    wt: 1:   C Energy Power03
  401.    wt: 1:   B Energy Power02
  402.    wt: 1:   A Energy Power01
  403.    wt: 1:   2 Conductance Resistance Duality02
  404.    wt: 1:   F Wire Resistance Calculation04
  405.    wt: 1:   E Wire Resistance Calculation03
  406.    wt: 1:   D Wire Resistance Calculation02
  407.    wt: 1:   C Wire Resistance Calculation01
  408.    wt: 1:   B Wire Resistance Qualitative02
  409.    wt: 1:   A Wire Resistance Qualitative01
  410.    wt: 1:   3 Like resistors in parallel
  411.    wt: 1:   2 Unlike resistors in parallel01
  412.    wt: 1:   1 Like resistors in series
  413.    wt: 1:   G Series Circuit01
  414.    wt: 1:   F Unlike Resistors in Series
  415.    wt: 1:   E Kirchoffs Second Law
  416.    wt: 1:   D Kirchoff First Law
  417.    wt: 1:   A Circuit Elements
  418.    wt: 1:   Ages 12 to 14 Arithmetic
  419.    wt: 1:   Ages 10 to 12 Arithmetic
  420.    wt: 1:   Ages 8 to 9
  421.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  422.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  423.    wt: 1:   sign monoticity analysis example 4
  424.    wt: 1:   sign monoticity analysis example 3
  425.    wt: 1:   sign monoticity analysis example 2
  426.    wt: 1:   sign monoticity analysis example 1
  427.    wt: 1:   6 Set Existence Formation and Notation
  428.    wt: 1:   3 Formula or function graphing exercise
  429.    wt: 1:   Introduction Reading Guide
  430.    wt: 1:   9 quadratics physical and further context
  431.    wt: 1:   8 quadratics backward use of various formulas
  432.    wt: 1:   7 quadratic formulla derivation
  433.    wt: 1:   8 Notes for instructors or tutors
  434.    wt: 1:   12 motivation for term arctan
  435.    wt: 1:   4 possible motivation for term arccos
  436.    wt: 1:   9 Summary Degrees to Radians and back
  437.    wt: 1:   7 Radian Measures in special Triangles
  438.    wt: 1:   6 Radian Measure to Degrees
  439.    wt: 1:   5 Degrees to Radian Measure
  440.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  441.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  442.    wt: 1:   2 Radian Measure Numerical Value of one degree
  443.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  444.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  445.    wt: 1:   Straight Lines Intersection of
  446.    wt: 1:   17 tangent function angle sum formulas
  447.    wt: 1:   30 unit circle calculation of six trigonometric functions
  448.    wt: 1:   25 tangent double angle formula Slope connection
  449.    wt: 1:   24 tangent Angle Difference Formula
  450.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  451.    wt: 1:   21 sine and cosine Half Angle Formulas
  452.    wt: 1:   17C sine and cosine double triple angle formulas
  453.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  454.    wt: 1:   9 Graphs of sine and cosine over one period
  455.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  456.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  457.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  458.    wt: 1:   11 sine and cosine double triple angle formulas
  459.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  460.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  461.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  462.    wt: 1:   1 Early Concept of Like or Similar Shapes
  463.    wt: 1:   8 Mid Point Formula
  464.    wt: 1:   3 Slope product for perpendicular lines
  465.    wt: 1:   2 point slope equation for a line
  466.    wt: 1:   13 Pythagorean spatial distance formulas
  467.    wt: 1:   10 Pythagorean plane distance formula
  468.    wt: 1:   PS H Distributive Law For Complex Numbers
  469.    wt: 1:   A Modular and Remainder Arithmetic
  470.    wt: 1:   19 Signed Multiples of Vectors
  471.    wt: 1:   9 Division with Digits after Decimal Point
  472.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  473.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  474.    wt: 1:   E Long Division Methods more
  475.    wt: 1:   D Long Division Methods
  476.    wt: 1:   C Three Decimal Subtraction Methods
  477.    wt: 1:   B Decimal Comparison and Subtraction
  478.    wt: 1:   A Decimal Addition Columm Methods
  479.    wt: 1:   6 Column Methods for Decimal Multiplication
  480.    wt: 1:   5 Distributive Law for Whole Numbers
  481.    wt: 1:   4 Commutative Law Groups Counting Form
  482.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  483.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  484.    wt: 1:   3 Linear Equation Literal Solution More
  485.    wt: 1:   2 Linear Equation Literal Solution
  486.    wt: 1:   1 Changing Calculations
  487.    wt: 1:   3 Product Axioms Two Forms
  488.    wt: 1:   2 More and Less Than for Counts and Measures
  489.    wt: 1:   8 Coordinates for Maps and Planes
  490.    wt: 1:   3 Geometric Formulas and Function Notation
  491.    wt: 1:   1 Formulas Dependence and Function Notation
  492.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  493.    wt: 1:   6 Algebraic Solution Example
  494.    wt: 1:   5 Algebraic Solutions Introduction
  495.    wt: 1:   4 Four Examples Fractional Coefficients
  496.    wt: 1:   3 Four Examples
  497.    wt: 1:   2 Three Examples
  498.    wt: 1:   1 Proper Equal Sign Usage
  499.    wt: 1:   Using Letters for Physical Quantities
  500.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  501.    wt: 1:   9 Sets in Probability and Statistics
  502.    wt: 1:   3 Adding Words To Arithmetic
  503.    wt: 1:   1 Three Skills For Algebra
  504.    wt: 1:   4 Greater More Less Than Signs in General
  505.    wt: 1:   3 Comparison of Negative Numbers
  506.    wt: 1:   2 More and Less Than with Unlike Signs
  507.    wt: 1:   5 Square Roots with primes more still
  508.    wt: 1:   4 Square Roots with primes more
  509.    wt: 1:   3 Properties of Square Roots with example
  510.    wt: 1:   2 Square Roots with Prime
  511.    wt: 1:   1 Squares and Square Roots Introduction
  512.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  513.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  514.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  515.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  516.    wt: 1:   13 GCD from given Prime Factorization
  517.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  518.    wt: 1:   8 GCD from Euclidean Algorithm
  519.    wt: 1:   7 GCD and LCM from prime factorization
  520.    wt: 1:   6 GCD from Prime
  521.    wt: 1:   5 Common Divisors 60 45 via Prime
  522.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  523.    wt: 1:   2 Least Common Multiple LCM intro via list method
  524.    wt: 1:   1 Least Common Multiples LCM Introduction
  525.    wt: 1:   12 GCD 2700 288 via Prime
  526.    wt: 1:   22 Complex Compound Fractions
  527.    wt: 1:   21 Working With Signs
  528.    wt: 1:   20 Dividing Fractions the Why
  529.    wt: 1:   18 Efficient Ways to Multiply
  530.    wt: 1:   17 Efficient Ways to Add and Subtract
  531.    wt: 1:   14 Adding and Subtracting with Like Denominators
  532.    wt: 1:   13 Fraction Comparison Algebraic View
  533.    wt: 1:   12 Fraction Comparison
  534.    wt: 1:   11 Simplification an Algebraic View
  535.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  536.    wt: 1:   8 Numerals Fractionals Quantals Take II
  537.    wt: 1:   7 Numerals Fractionals Quantals
  538.    wt: 1:   6 Multiplication Algebraically Take II
  539.    wt: 1:   5 Equivalent Fractions
  540.    wt: 1:   4 Fraction Multiplication
  541.    wt: 1:   3 Unit fraction of a fraction
  542.    wt: 1:   2 Unit Fraction Multiplication
  543.    wt: 1:   1 What is a fraction Take II
  544.    wt: 1:   1 What is a fraction
  545.    wt: 1:   D Remainders Modulo 11 Pair Rule
  546.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  547.    wt: 1:   B Integer Long Division Multiple Choices
  548.    wt: 1:   A Associative Law Theorectical Note
  549.    wt: 1:   13 Subtraction with Additive Inverse
  550.    wt: 1:   12 Adding Integers More Examples
  551.    wt: 1:   8 Multiplication by Signed Numbers Integers
  552.    wt: 1:   7 Multiplication by Signs
  553.    wt: 1:   6 Multiplication by Natural Numbers
  554.    wt: 1:   5 Zero Movement and Additive Inverses
  555.    wt: 1:   4 Adding Movements wiht opposite directions
  556.    wt: 1:   3 Adding Movements with same direction
  557.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  558.    wt: 1:   1 Integers as Coordinates
  559.    wt: 1:   20 Uniqueness of Prime Factorization
  560.    wt: 1:   18 video Count Factors given Prime Factorization
  561.    wt: 1:   17 Identify and Count Factors using Primes
  562.    wt: 1:   15 video Factors of 20 using Prime Factorization
  563.    wt: 1:   14 video Factors of 24 Take II
  564.    wt: 1:   13 video Factors of 24 using prime
  565.    wt: 1:   12 LCD GCD and LCM using Primes
  566.    wt: 1:   11 Efficient Square Rule Use
  567.    wt: 1:   10 video Prime Factorization upto 23 squared
  568.    wt: 1:   7 Calculator Usage Notes and Cautions
  569.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  570.    wt: 1:   5 Prime Factorization and a Square Rule
  571.    wt: 1:   4 video Prime Factorization Introduction
  572.    wt: 1:   2 Prime and Composites less than 16
  573.    wt: 1:   1 video how Products are bigger than factor
  574.    wt: 1:   11 Place Value SI Standard International way
  575.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  576.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  577.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  578.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  579.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  580.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  581.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  582.    wt: 1:   Quick history of numbers and algebra
  583.    wt: 1:   Expression Evaluation how to show work
  584.    wt: 1:   The 20 Times Table
  585.    wt: 1:   About folder contents
  586.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  587.    wt: 1:   5 Conversion Arithmetic
  588.    wt: 1:   A Chain Rule Real Player video examples
  589.    wt: 1:   36 Cube root derivative animated
  590.    wt: 1:   29 Chain Rule Optional Reading
  591.    wt: 1:   28 Chain Rule Preparation for a Proof
  592.    wt: 1:   22 Chain Rule for polynomials
  593.    wt: 1:   21 Chain Rule for powers
  594.    wt: 1:   20 Chain Rule for Pulley Systems
  595.    wt: 1:   11 Quotient rule
  596.    wt: 1:   10 Power rule for negative integers
  597.    wt: 1:   9 Reciprocal rule
  598.    wt: 1:   3 Motivation for Limit Definition Take 2
  599.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  600.    wt: 1:   9 Limits Continuity and Composition
  601.    wt: 1:   3 Decimal insights for limits continuity convergence
  602.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  603.    wt: 1:   G.5 Motions With Bounded Velocities
  604.    wt: 1:   F.1 What Functions are Continuous
  605.    wt: 1:   PostScript For and Against Decimal Perspectives
  606.    wt: 1:   Fall 1983 Calculus Appetizer
  607.    wt: 1:   Foreword
  608.    wt: 1:   Appendix E. How To Study Mathematics and Why
  609.    wt: 1:   Appendix D. What to do in School and Why
  610.    wt: 1:   Appendix C. How to Read
  611.    wt: 1:   Appendix B. How To Learn
  612.    wt: 1:   Chapter 31 Direct and Indirect Reason
  613.    wt: 1:   Chapter 30 Truth Tables
  614.    wt: 1:   Chapter 28 Occurrence Tables
  615.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  616.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  617.    wt: 1:   Chapter 25. Mathematical Induction Examples
  618.    wt: 1:   Chapter 25. Mathematical Induction Examples
  619.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  620.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  621.    wt: 1:   Chapter 20. Degrees and Radians
  622.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  623.    wt: 1:   Chapter 16. Painless Theorem Proving
  624.    wt: 1:   Chapter 15. Solving Linear Equations
  625.    wt: 1:   Chapter 11. Why Shorthand
  626.    wt: 1:   Chapter 10 Describing and Changing Calculations
  627.    wt: 1:   Chapter 6 Change of Language
  628.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  629.    wt: 1:   Chapter 4 Longer Chains of Reason
  630.    wt: 1:   Chapter 3 Chains of Reason
  631.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  632.    wt: 1:   Chapter 2 For and Against Mathematics
  633.    wt: 1:   Foreword
  634.    wt: 1:   Postscript C Consistency as a Tool for Reason
  635.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  636.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  637.    wt: 1:   Foreword
  638.    wt: 1:   R Why Learn Mathematics Skills
  639.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  640.    wt: 1:   O On Learning Mathematics and Science
  641.    wt: 1:   L Skills with take home value
  642.    wt: 1:   N Improving Marks on Tests and Finals
  643.    wt: 1:   J. More on written work and showing skill
  644.    wt: 1:   H more Routine to non routine problem solving
  645.    wt: 1:   H Jigsaw puzzles and problem solving
  646.    wt: 1:   F. The student teacher tutor feedback loop
  647.    wt: 1:   E. When and how to correct errors
  648.    wt: 1:   D. Check work a must with a caution
  649.    wt: 1:   C. Domino effect of being careful
  650.    wt: 1:   B. Domino effect of errors
  651.    wt: 1:   A. Skill has to be seen to believed
  652.    wt: 1:   How to Build Skills and Confidence
  653.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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Mathematics Skills For Ages 3 to 14

Skills with take home value

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

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Algebra Starter Lessons

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5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


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2 Euclidean Geometry - Constructions + extras
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6 Trigonometry first steps
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11 Parallel Straight Lines and Transversals
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13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

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

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Natural-Logarithms Exponentials Powers Roots
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Rewriting algebraic substitution as function substitutions

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

70 Calculus Starter Lessons

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Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
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4. Fractions + Ratios
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3 Rct +Polr Coordinates
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3. Computation Rules
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5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
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Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
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