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

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

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

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

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

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

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

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55 matches:

  1.    wt: 8:   13 Vectors/
  2.    wt: 7:   9 Lines and Slopes Take 2 with tangent function/
  3.    wt: 7:   1 Maps Plans Measurement/
  4.    wt: 6:   15 Arc or Inverse Trigonometric Function/
  5.    wt: 6:   12 Function Translating and Rescaling/
  6.    wt: 6:   11 Parallel Straight Lines and Transversals/
  7.    wt: 6:   10 Intersecting Straight Lines and Transversals/
  8.    wt: 6:   8 Unit Circle Trigonometry/
  9.    wt: 6:   6 Trigonometry first steps/
  10.    wt: 6:   5 What is Similarity/
  11.    wt: 6:   2 Euclidean Geometry Constructions Theory extras/
  12.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  13.    wt: 5:   7 Complex Numbers/
  14.    wt: 5:   4 Lines and Slopes Take 1/
  15.    wt: 5:   3 Cartesian and Polar Coordinates/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 5:   D Decimal Long Division Methods/
  18.    wt: 5:   C Decimal Multiplication Methods/
  19.    wt: 5:   B Decimal Comparing and Subtracting Methods/
  20.    wt: 5:   A Decimal Counting and Adding Methods/
  21.    wt: 4:   8 Arithmetic with Signed Numbers/
  22.    wt: 4:   7 Arithmetic and Fractions with Units/
  23.    wt: 4:   2 Arithmetic with Decimals/
  24.    wt: 3:   10 LCM GCD and Euclid GCD Algorithm/
  25.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  26.    wt: 2:   LAMP Lean Applied Mathematics Program/
  27.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  28.    wt: 2:   Mathematics Education Essays/
  29.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  30.    wt: 2:   11 Squares and Square Roots/
  31.    wt: 2:   9 Combinatorics Trees Tables and Products/
  32.    wt: 2:   6 Fractions and Ratios/
  33.    wt: 2:   5 Integers/
  34.    wt: 2:   3 Prime Factorization Skills/
  35.    wt: 2:   1 Decimal Place Value/
  36.    wt: 2:   Arithmetic and Number Theory Skills/
  37.    wt: 2:   Time Date Matters/
  38.    wt: 2:   Skills with take home value/
  39.    wt: 2:   Secondary Mathematics A Practical Approach/
  40.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  41.    wt: 1:   Archives/
  42.    wt: 1:   Mathematics Skills Year by Year/
  43.    wt: 1:   4 Functions/
  44.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  45.    wt: 1:   A Origins of Counting and Figuring Methods/
  46.    wt: 1:   8 Unifying Theme For Algebra/
  47.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  48.    wt: 1:   4 Computation Rules and Function Notation/
  49.    wt: 1:   1 Working With Sets/
  50.    wt: 1:   13 Lessons on Limits and Continuity/
  51.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  52.    wt: 1:   Volume 2 Three Skills For Algebra/
  53.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  54.    wt: 1:   Mathematics 506 Lessons/
  55.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

632 matches:

  1.    wt: 5:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  2.    wt: 5:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  3.    wt: 4:   22 Student Centered Highschool Mathematics
  4.    wt: 4:   21 Graphs of functions given by Horizontal Line Method
  5.    wt: 4:   Why Trigonometry the whyslopes view
  6.    wt: 4:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  7.    wt: 4:   Chapter 11. Why Shorthand
  8.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  9.    wt: 3:   Teach the teachers plus goals
  10.    wt: 3:   what should be learnt and When
  11.    wt: 3:   chapitre 03 A Propos Des Prochains Chapitre
  12.    wt: 3:   Home Tutoring and Home Schooling
  13.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  14.    wt: 3:   13 cosecant function Definition Graph and Inverse
  15.    wt: 3:   13 Velocity Vectors in Physics
  16.    wt: 3:   10 Straight Lines through Origin Equations More
  17.    wt: 3:   9 Straight Lines through Origin Equations
  18.    wt: 3:   13 Graph of tangent function many periods
  19.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  20.    wt: 3:   3 Lengths and Areas on Maps and Plans
  21.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  22.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  23.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  24.    wt: 3:   4. How to add with decimals B with conversions
  25.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  26.    wt: 3:   Appendix E. How To Study Mathematics and Why
  27.    wt: 3:   Appendix D. What to do in School and Why
  28.    wt: 3:   Chapter 27 Shorthand Symbols as Pronouns
  29.    wt: 3:   Chapter 26 What is in chapters 27 to 31
  30.    wt: 3:   Chapter 12. Shorthand Usage Guide
  31.    wt: 3:   Chapter 20 Shorthand Symbols as Pronouns
  32.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  33.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  34.    wt: 3:   Chapter 9 What is in Chapters 10 to 18
  35.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  36.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  37.    wt: 3:   Helping the Blind in Logic and Mathematics
  38.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  39.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  40.    wt: 3:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  41.    wt: 2:   Appendix 2 primary school Arithmetic 01
  42.    wt: 2:   Appendix 1 primary and preschool mathematic
  43.    wt: 2:   Skills Chapter 1 Arithmetic
  44.    wt: 2:   2 arithmetic with signed numbers
  45.    wt: 2:   1 arithmetic with unsigned numbers
  46.    wt: 2:   why bother
  47.    wt: 2:   which way to go
  48.    wt: 2:   Math Ed if it must be short make it lean effective
  49.    wt: 2:   Maps Plans Drawings
  50.    wt: 2:   Secondary Three Mathematics
  51.    wt: 2:   mathematics curriculum shifts
  52.    wt: 2:   the trouble with algebra
  53.    wt: 2:   three goals for Mathematics Education
  54.    wt: 2:   04 25 when to stop or suspend mathemat
  55.    wt: 2:   three aims for mathematics students
  56.    wt: 2:   Education in mathematics science and technology
  57.    wt: 2:   three kinds of reason in mathematics
  58.    wt: 2:   chapitre 07 01 principle D induction mathematique
  59.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  60.    wt: 2:   chapitre 06 00 Chaines de la raison
  61.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  62.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  63.    wt: 2:   18 Primary School Mathematics
  64.    wt: 2:   17 Math Booklets for children and young teenagers
  65.    wt: 2:   11 Help and Defend Your Child or Teens Education
  66.    wt: 2:   Ages 12 to 14 Skills with take home value
  67.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  68.    wt: 2:   22 Square Root function graphically
  69.    wt: 2:   19 Horizontal line rule and method
  70.    wt: 2:   17 Function maxima minima and their location
  71.    wt: 2:   7 Functions with finite domains
  72.    wt: 2:   4 Function notation in and beyond mathematics
  73.    wt: 2:   3 Formula or function graphing exercise
  74.    wt: 2:   9 quadratics physical and further context
  75.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  76.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  77.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  78.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  79.    wt: 2:   16 cotangent function Definition Graph and Inverse
  80.    wt: 2:   15 cosecant function Definition Graph and Inverse
  81.    wt: 2:   14 secant function Definition Graph and Inverse
  82.    wt: 2:   6 Graph of arccos function
  83.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  84.    wt: 2:   6 Vectors with Coordinates
  85.    wt: 2:   3 Navigation with Arrows or Vectors
  86.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  87.    wt: 2:   12 Straight Lines Graphing mx plus b
  88.    wt: 2:   11 Straight Lines Graphing y=mx
  89.    wt: 2:   7 Tangent Function is odd on this domain
  90.    wt: 2:   5 Tangent Function Graph
  91.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  92.    wt: 2:   17G Pythagorean Theorem Converse
  93.    wt: 2:   17A The complex number valued trig function cis
  94.    wt: 2:   12 Graph of tangent function for one period
  95.    wt: 2:   11 tangent function undefined when terminal side vertical
  96.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  97.    wt: 2:   15 Pythagorean Theorem Converse
  98.    wt: 2:   9 The complex number valued trig function cis
  99.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  100.    wt: 2:   What is and is not here
  101.    wt: 2:   13 Pythagorean spatial distance formulas
  102.    wt: 2:   6 Figuring with Maps Not to Scale
  103.    wt: 2:   4 Angles on Maps Plans drawn to scale
  104.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  105.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  106.    wt: 2:   13 Arrows and Vectors in a Plane
  107.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  108.    wt: 2:   C Three Decimal Subtraction Methods
  109.    wt: 2:   3 More and Less Than with Unlike Signs
  110.    wt: 2:   2 Essentially one exercises three with solution
  111.    wt: 2:   13 Naming Identifying Formulas with Words
  112.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  113.    wt: 2:   6 Three Notions of What is a Variable
  114.    wt: 2:   2 More and Less Than with Unlike Signs
  115.    wt: 2:   11 What are real lengths and numbers
  116.    wt: 2:   20 Dividing Fractions the Why
  117.    wt: 2:   13 Subtraction with Additive Inverse
  118.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  119.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  120.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  121.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  122.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  123.    wt: 2:   1 video how Products are bigger than factor
  124.    wt: 2:   Division with Counts and Length
  125.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  126.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  127.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  128.    wt: 2:   8 What skills and work habits to require
  129.    wt: 2:   3. How to add with decimals A sans conversions
  130.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  131.    wt: 2:   Exact Arithmetic Wholes and Fractions
  132.    wt: 2:   Formula Evaluation how to show work
  133.    wt: 2:   Expression Evaluation how to show work
  134.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  135.    wt: 2:   Example 4 with x function of y
  136.    wt: 2:   3 Two Chain Rule Method Exercises
  137.    wt: 2:   1 Chain Rule in Reverse Integration Method
  138.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  139.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  140.    wt: 2:   26 Chain Rule Recognising outer inner functions
  141.    wt: 2:   19 Chain Rule for linear functions
  142.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  143.    wt: 2:   10 Three one sided limits with infinite values
  144.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  145.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  146.    wt: 2:   F.1 What Functions are Continuous
  147.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  148.    wt: 2:   Chapter 23 Links To Trigonometry
  149.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  150.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  151.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  152.    wt: 2:   Chapter 13. Acceleration
  153.    wt: 2:   Chapter 11. Graphing Slope versus Position
  154.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  155.    wt: 2:   Chapter 30 Truth Tables
  156.    wt: 2:   Chapter 25. Mathematical Induction Examples
  157.    wt: 2:   Chapter 21. Third Reading Guide
  158.    wt: 2:   Chapter 19. Functions and Sets
  159.    wt: 2:   Chapter 16. Painless Theorem Proving
  160.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  161.    wt: 2:   Chapter 13. Second Reading Guide
  162.    wt: 2:   Chapter 10 Describing and Changing Calculations
  163.    wt: 2:   Chapter 8 Three Skills For Algebra
  164.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  165.    wt: 2:   Chapter 6 Change of Language
  166.    wt: 2:   Chapter 4 Longer Chains of Reason
  167.    wt: 2:   Chapter 3 Chains of Reason
  168.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  169.    wt: 2:   Chapter 12 Four Phases
  170.    wt: 2:   Chapter 9 The Two Ends
  171.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  172.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  173.    wt: 2:   Chapter 2 For and Against Mathematics
  174.    wt: 2:   Chapter 23 Truth Tables
  175.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  176.    wt: 2:   Chapter 8 Change of Language
  177.    wt: 2:   Chapter 7 Longer Chains of Reason
  178.    wt: 2:   Chapter 6 Chains of Reason
  179.    wt: 2:   R Why Learn Mathematics Skills
  180.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  181.    wt: 2:   L Skills with take home value
  182.    wt: 2:   F. The student teacher tutor feedback loop
  183.    wt: 2:   E. When and how to correct errors
  184.    wt: 2:   D. Check work a must with a caution
  185.    wt: 2:   Chapter 8 Skipped Topics and Why
  186.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  187.    wt: 2:   Chapter 2 Why Sets
  188.    wt: 2:   Chapter 1 Arithmetic
  189.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  190.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  191.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  192.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  193.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  194.    wt: 2:   Which Way To Go
  195.    wt: 2:   The Math Forum and Site Content
  196.    wt: 1:   I LAMP Introduction Study Habits
  197.    wt: 1:   H LAMP Introduction Instructional Concepts
  198.    wt: 1:   E LAMP Introduction Modern Mathematics
  199.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  200.    wt: 1:   Skills Chapter 5 Calculus
  201.    wt: 1:   Skills Chapter 4 Logic
  202.    wt: 1:   Ramblings Extrinsic numbers theory
  203.    wt: 1:   Skills Chapter 3 Algebra
  204.    wt: 1:   Skills Chapter 2 Geometry
  205.    wt: 1:   Skills Chapter 0 Introduction
  206.    wt: 1:   11 pure mathematics
  207.    wt: 1:   5 logarithms and exponentials etc
  208.    wt: 1:   What is POMME
  209.    wt: 1:   three goals to set for students
  210.    wt: 1:   permissions for teachers
  211.    wt: 1:   Applied Maths Program14092009 POMME variant
  212.    wt: 1:   About site lesson plans
  213.    wt: 1:   key notes and themes
  214.    wt: 1:   Mathematics Education Professors
  215.    wt: 1:   teacher certification
  216.    wt: 1:   mathematics in context
  217.    wt: 1:   how letters appear
  218.    wt: 1:   Secondary Two Mathematics
  219.    wt: 1:   Secondary One Mathematics
  220.    wt: 1:   talk the algebra talk
  221.    wt: 1:   three difficulties
  222.    wt: 1:   teaching tips
  223.    wt: 1:   What to Tell Students
  224.    wt: 1:   teaching tutoring algebraic reason
  225.    wt: 1:   05 13 OldSiteEntrancePage
  226.    wt: 1:   04 29 New Mathematics Curriculum
  227.    wt: 1:   02 21 words for teachers
  228.    wt: 1:   02 20 mathematics education references
  229.    wt: 1:   Theory of Knowledge
  230.    wt: 1:   mathematics instruction in general
  231.    wt: 1:   Different Kinds of Reasoning in maths
  232.    wt: 1:   How to be a better instructor
  233.    wt: 1:   need for a mixed mathematics curriculum
  234.    wt: 1:   Leaner mathematics curriculum
  235.    wt: 1:   words for mathematics instructor
  236.    wt: 1:   chapitre 12 00 les iles et division
  237.    wt: 1:   chapitre 05 00 Deception
  238.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  239.    wt: 1:   chapitre 04 09 Regles accidentelles
  240.    wt: 1:   chapitre 04 08 Limitations et benefices
  241.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  242.    wt: 1:   chapitre 04 06 engagements
  243.    wt: 1:   chapitre 04 05 Implication versus suggestion
  244.    wt: 1:   chapitre 04 04 Parlons de la logique
  245.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  246.    wt: 1:   chapitre 04 02 Deuxieme enigme
  247.    wt: 1:   chapitre 04 01 Premiere enigme
  248.    wt: 1:   chapitre 04 00 Les regles d implication
  249.    wt: 1:   chapitre 02 00 La Communication des idees
  250.    wt: 1:   chapitre 01 00 Introduction
  251.    wt: 1:   problemes algebre et arithmetique
  252.    wt: 1:   4 Energy Power Heat09
  253.    wt: 1:   3 Energy Power Heat08
  254.    wt: 1:   2 Energy Power Heat07
  255.    wt: 1:   1 Energy Power Heat06
  256.    wt: 1:   H Series Circuit02
  257.    wt: 1:   E Kirchoffs Second Law
  258.    wt: 1:   D Kirchoff First Law
  259.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  260.    wt: 1:   16 Secondary Mathematics Tips
  261.    wt: 1:   13 Addition and Addition Tables
  262.    wt: 1:   12 Goals and Objectives For Mathematics
  263.    wt: 1:   8 The Effect of Negative Remarks
  264.    wt: 1:   5 Patience Please for Yourself and Your Charges
  265.    wt: 1:   Ages 12 to 14 Arithmetic
  266.    wt: 1:   Ages 10 to 12 Arithmetic
  267.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  268.    wt: 1:   26 Function definitions done and coming
  269.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  270.    wt: 1:   23 Inverse Functions
  271.    wt: 1:   20 Interchanging coordinates a reflection
  272.    wt: 1:   18 Vertical Line Rule and Method
  273.    wt: 1:   15 Sign analysis of functions
  274.    wt: 1:   13 From one to one to many to one
  275.    wt: 1:   12 Function Domain Recognition Exercises
  276.    wt: 1:   11 Function Domain Range Source and Targets
  277.    wt: 1:   9 Set theory term relation possible origins
  278.    wt: 1:   8 Set view of relations and functions
  279.    wt: 1:   5 Function notation for geometric transformations
  280.    wt: 1:   2 Algebraic use of function notation
  281.    wt: 1:   1 Geometric Introduction of Function Notation
  282.    wt: 1:   6 quadratics numerical approach
  283.    wt: 1:   5 quadratics completing the square
  284.    wt: 1:   2 quadratics graphing in general
  285.    wt: 1:   1 quadratics graphing exercises
  286.    wt: 1:   11 Growth and Decay in Biology
  287.    wt: 1:   10 Exponential Growth and Decay Models
  288.    wt: 1:   5 Natural Logarithm Calculator Exercises
  289.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  290.    wt: 1:   7 Links Lessons Elsewhere
  291.    wt: 1:   2 Column Multiplication Method
  292.    wt: 1:   Rewriting algebraic substitution as function substitutions
  293.    wt: 1:   11 arctan left inverse of tangent Graph
  294.    wt: 1:   8 arcsin left inverse of sine Graph
  295.    wt: 1:   2 cosine function more properties
  296.    wt: 1:   1 cosine function properties
  297.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  298.    wt: 1:   12 From Applied To Pure Mathematics
  299.    wt: 1:   11 Component Method
  300.    wt: 1:   10 Parallelogram Addition Method
  301.    wt: 1:   9 Head to Tail Coordinate View
  302.    wt: 1:   8 Parallel Vectors
  303.    wt: 1:   5 Head To Tail Arrow Addition
  304.    wt: 1:   4 graphing y=Asin(x c)
  305.    wt: 1:   3 graphing y=f(x c) plus K
  306.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  307.    wt: 1:   1 graphing y=f(x a)
  308.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  309.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  310.    wt: 1:   Straight Lines ASA Intersection Study More
  311.    wt: 1:   Straight Lines ASA Intersection Study
  312.    wt: 1:   Straight Lines Instersection Solving Equations
  313.    wt: 1:   Straight Lines Intersection of
  314.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  315.    wt: 1:   C Straight Lines Slope from Coordinates
  316.    wt: 1:   B Straight Line Slope Scaling Properties More
  317.    wt: 1:   A Straight Line Slope Scaling Properties
  318.    wt: 1:   14 Straight Lines Equations General Case
  319.    wt: 1:   8 Straight Lines Equation for vertical
  320.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  321.    wt: 1:   4 Tangent Function Properties
  322.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  323.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  324.    wt: 1:   1 Straight Lines Slope Concept
  325.    wt: 1:   17 tangent function angle sum formulas
  326.    wt: 1:   30 unit circle calculation of six trigonometric functions
  327.    wt: 1:   27 Logarithmic use of products of sines and cosines
  328.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  329.    wt: 1:   21 sine and cosine Half Angle Formulas
  330.    wt: 1:   16 Right Triangle Complementary Angle Relations
  331.    wt: 1:   10 Graphs of sines and cosines many periods
  332.    wt: 1:   9 Graphs of sine and cosine over one period
  333.    wt: 1:   8 period of tangent function
  334.    wt: 1:   Unit Circle Development of Trigonometry
  335.    wt: 1:   21 Logarithms Powers and Exponentials
  336.    wt: 1:   20 N th Roots of Complex Numbers
  337.    wt: 1:   19 N th Roots of Unity
  338.    wt: 1:   18 Sixth Roots of Unity
  339.    wt: 1:   13 Trig Formulas for dot and cross Products
  340.    wt: 1:   8 Unit Circle Development of Trigonometry
  341.    wt: 1:   5 An Easy Proof of the Distributive Law
  342.    wt: 1:   2 Complex Numbers made easier we hope
  343.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  344.    wt: 1:   1 Angle Measurement with Degrees
  345.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  346.    wt: 1:   4 Similarity Definition with Coordinate
  347.    wt: 1:   3 Similarity by Design with coordinates
  348.    wt: 1:   1 Early Concept of Like or Similar Shapes
  349.    wt: 1:   12 Links Lessons elsewhere
  350.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  351.    wt: 1:   4 Equations for lines three forms
  352.    wt: 1:   1 Numerical view of lines and their equations
  353.    wt: 1:   10 Pythagorean plane distance formula
  354.    wt: 1:   2 Cartesian Coordinates with signs
  355.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  356.    wt: 1:   PS H Distributive Law For Complex Numbers
  357.    wt: 1:   PS E Multiplication with Polar Coordinates
  358.    wt: 1:   PS D Addition with Cartesian Coordinates
  359.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  360.    wt: 1:   PS B Parallelogram Construction Methods
  361.    wt: 1:   PS A Kite Construction Methods
  362.    wt: 1:   19 Right Triangle Similarity
  363.    wt: 1:   17 Right Bisectors of Triangle Sides
  364.    wt: 1:   16 Angles Subtended By Chords and Diameters
  365.    wt: 1:   13 Angle Side Angle Failure
  366.    wt: 1:   9 Construction of a right bisector
  367.    wt: 1:   Short Course on Euclidean Geometry
  368.    wt: 1:   A Measurement with Ruler Proper Use
  369.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  370.    wt: 1:   1 Length Measurement
  371.    wt: 1:   musings do not puiblish real numbers
  372.    wt: 1:   A Modular and Remainder Arithmetic
  373.    wt: 1:   A Signed Number Arithmetic Review
  374.    wt: 1:   26 More Less Greater Than Comparison
  375.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  376.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  377.    wt: 1:   19 Signed Multiples of Vectors
  378.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  379.    wt: 1:   15 Head to Tails in place Addition Associative
  380.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  381.    wt: 1:   9 Division with Digits after Decimal Point
  382.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  383.    wt: 1:   1 Fractions with Finite Decimal Expansions
  384.    wt: 1:   E Long Division Methods more
  385.    wt: 1:   D Long Division Methods
  386.    wt: 1:   A Decimal Addition Columm Methods
  387.    wt: 1:   8 Column Multiplication Methods in General
  388.    wt: 1:   7 Decimals Multiplication Methods Examples
  389.    wt: 1:   6 Column Methods for Decimal Multiplication
  390.    wt: 1:   5 Distributive Law for Whole Numbers
  391.    wt: 1:   1 The Counting Origins of Numbers
  392.    wt: 1:   2 Fraction Operations Physical Development
  393.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  394.    wt: 1:   1 What is Proportionality
  395.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  396.    wt: 1:   1 Changing Calculations
  397.    wt: 1:   5 Greater More Less Than Signs in General
  398.    wt: 1:   2 More and Less Than for Counts and Measures
  399.    wt: 1:   13 Real Number Subtraction
  400.    wt: 1:   10 Real Number Lengths and Signs
  401.    wt: 1:   8 Coordinates for Maps and Planes
  402.    wt: 1:   1 Whole and Natural Numbers
  403.    wt: 1:   4 Changing Letters
  404.    wt: 1:   3 Geometric Formulas and Function Notation
  405.    wt: 1:   1 Formulas Dependence and Function Notation
  406.    wt: 1:   2 Three Examples
  407.    wt: 1:   9 Three Examples
  408.    wt: 1:   6 Three Examples
  409.    wt: 1:   5 Three Examples
  410.    wt: 1:   2 Three Examples
  411.    wt: 1:   Using Letters for Physical Quantities
  412.    wt: 1:   Formula Usage Show Work Format
  413.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  414.    wt: 1:   11 Volume of Sphere
  415.    wt: 1:   2 Another Rectangle Area Formula Example
  416.    wt: 1:   1 Written work formats for developing and showing skill
  417.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  418.    wt: 1:   3 Counting with Sets etc
  419.    wt: 1:   3 Adding Words To Arithmetic
  420.    wt: 1:   2 What is a Variable
  421.    wt: 1:   1 Three Skills For Algebra
  422.    wt: 1:   arithmetic videos Real Player Format
  423.    wt: 1:   4 Greater More Less Than Signs in General
  424.    wt: 1:   1 More and Less Than for Counts and Measures
  425.    wt: 1:   5 Square Roots with primes more still
  426.    wt: 1:   4 Square Roots with primes more
  427.    wt: 1:   3 Properties of Square Roots with example
  428.    wt: 1:   2 Square Roots with Prime
  429.    wt: 1:   13 GCD from given Prime Factorization
  430.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  431.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  432.    wt: 1:   8 GCD from Euclidean Algorithm
  433.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  434.    wt: 1:   2 Least Common Multiple LCM intro via list method
  435.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  436.    wt: 1:   4 Counting with Trees Product Rule Take I
  437.    wt: 1:   3 Counting with Tables and Trees II
  438.    wt: 1:   2 Counting with Tables and Trees I
  439.    wt: 1:   1 Counting and Counting Methods I
  440.    wt: 1:   5 lengths and signs of numbers
  441.    wt: 1:   3 signed coordinates for maps and planes
  442.    wt: 1:   7 Converting or Changing Units
  443.    wt: 1:   6 Simplification of Fractions with Units
  444.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  445.    wt: 1:   4 Fractions with Units
  446.    wt: 1:   1 Addition and Subtraction with Units
  447.    wt: 1:   D Three Term Ratios
  448.    wt: 1:   21 Working With Signs
  449.    wt: 1:   21 Reciprocals for Fractions and Wholes
  450.    wt: 1:   19 Dividing Fractions How TO
  451.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  452.    wt: 1:   14 Adding and Subtracting with Like Denominators
  453.    wt: 1:   13 Fraction Comparison Algebraic View
  454.    wt: 1:   1 What is a fraction Take II
  455.    wt: 1:   1 What is a fraction
  456.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  457.    wt: 1:   B Integer Long Division Multiple Choices
  458.    wt: 1:   A Associative Law Theorectical Note
  459.    wt: 1:   4 Adding Movements wiht opposite directions
  460.    wt: 1:   3 Adding Movements with same direction
  461.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  462.    wt: 1:   23 Remainder Arithmetic Modulo 2
  463.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  464.    wt: 1:   21 Remainder Arithmetic Modulo 3
  465.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  466.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  467.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  468.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  469.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  470.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  471.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  472.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  473.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  474.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  475.    wt: 1:   5 Remainder Arithmetic Modulo 5
  476.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  477.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  478.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  479.    wt: 1:   1 Remainder Arithmetic Modulo 10
  480.    wt: 1:   13 video Factors of 24 using prime
  481.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  482.    wt: 1:   2 Prime and Composites less than 16
  483.    wt: 1:   12 Why Long Division Works Take III
  484.    wt: 1:   11 Another Single Digit Divisor Example
  485.    wt: 1:   10 Division by Five Long and Short Ways
  486.    wt: 1:   9 Why Long Division Works Take II
  487.    wt: 1:   8 Correcting the Mistake
  488.    wt: 1:   7 Long Divison Mistake Catching
  489.    wt: 1:   4 Division with 2 Digit Divsors
  490.    wt: 1:   2 Division with Single Digit Divisors
  491.    wt: 1:   1 Divsion Physical Examples
  492.    wt: 1:   D Decimal Multiplication Methods Derived
  493.    wt: 1:   C Counting Areas with Powers of Ten
  494.    wt: 1:   A Elementary Basis for Multiplication Methods
  495.    wt: 1:   4 Two and Three Digit Multipliers
  496.    wt: 1:   1 Why 3 times 5 gives 15
  497.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  498.    wt: 1:   Subtraction with J Conversions Example
  499.    wt: 1:   Subtraction Another Video Lesson
  500.    wt: 1:   8 Subtraction with Units of Measure
  501.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  502.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  503.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  504.    wt: 1:   5. How to add decimals C. Examples
  505.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  506.    wt: 1:   Quick history of numbers and algebra
  507.    wt: 1:   The 20 Times Table
  508.    wt: 1:   The 12 Times Table Visually
  509.    wt: 1:   015 School and work day counting tables
  510.    wt: 1:   014 Counting Days with Calendars
  511.    wt: 1:   013 Travel Time Tables
  512.    wt: 1:   6 How long is a million seconds
  513.    wt: 1:   5 Conversion Arithmetic
  514.    wt: 1:   4 Mixing and Changing Units of Time
  515.    wt: 1:   3 Units and Lengths of Time
  516.    wt: 1:   2 Time and Date Matters in School
  517.    wt: 1:   A Chain Rule Real Player video examples
  518.    wt: 1:   34 Derivative of exponential function
  519.    wt: 1:   33 Chain Rule Real Player video examples
  520.    wt: 1:   31 Derivatives of inverse functions
  521.    wt: 1:   30Chain Rule A Proof
  522.    wt: 1:   29 Chain Rule Optional Reading
  523.    wt: 1:   28 Chain Rule Preparation for a Proof
  524.    wt: 1:   25 Chain Rule Animated Examples Continued
  525.    wt: 1:   24 Chain Rule Animated Examples
  526.    wt: 1:   23 Chain Rule in general
  527.    wt: 1:   22 Chain Rule for polynomials
  528.    wt: 1:   21 Chain Rule for powers
  529.    wt: 1:   20 Chain Rule for Pulley Systems
  530.    wt: 1:   18 Chain Rule Introduction
  531.    wt: 1:   13 sine and cosine derivatives 1st step
  532.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  533.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  534.    wt: 1:   11 Limits at infinity Three Examples
  535.    wt: 1:   3 Decimal insights for limits continuity convergence
  536.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  537.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  538.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  539.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  540.    wt: 1:   G.5 Motions With Bounded Velocities
  541.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  542.    wt: 1:   G.3 Constant Difference Theorem Proof
  543.    wt: 1:   F.5b Extreme Value Theorem
  544.    wt: 1:   F.5a Equicontinuity Theorems
  545.    wt: 1:   F.4 Finite Covering Theorem
  546.    wt: 1:   F.3 Intermediate Value Theorem
  547.    wt: 1:   F.2 Closed Range Theorem
  548.    wt: 1:   B3 Bolzano Weierstrass Theorem
  549.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  550.    wt: 1:   Chapter 22 Complex Numbers
  551.    wt: 1:   Chapter 21 Arrow Addition
  552.    wt: 1:   Chapter 18. Slopes Areas Integration
  553.    wt: 1:   Chapter 17. Area Approximation
  554.    wt: 1:   Chapter 16. Velocity Approximation
  555.    wt: 1:   Chapter 15. Slope Approximation
  556.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  557.    wt: 1:   Chapter 12. Units and Slopes
  558.    wt: 1:   Chapter 10 Slopes and Units
  559.    wt: 1:   Chapter 9 About First Courses in Calculus
  560.    wt: 1:   Chapter 8. Slope Interpretation
  561.    wt: 1:   Chapter 7 Slopes and Velocity
  562.    wt: 1:   Chapter 5. Slope Sign Tests
  563.    wt: 1:   Chapter 4. More Slope Sign Analysis
  564.    wt: 1:   Chapter 3. Slope Sign Analysis
  565.    wt: 1:   Chapter 2. Slopes and Ski Trails
  566.    wt: 1:   Chapter 1.Introduction
  567.    wt: 1:   Appendix C. How to Read
  568.    wt: 1:   Appendix B. How To Learn
  569.    wt: 1:   Chapter 31 Direct and Indirect Reason
  570.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  571.    wt: 1:   Chapter 28 Occurrence Tables
  572.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  573.    wt: 1:   Chapter 23. Notation For Sums
  574.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  575.    wt: 1:   Chapter 20. Degrees and Radians
  576.    wt: 1:   Chapter 18. Rules for Algebra
  577.    wt: 1:   Chapter 15. Solving Linear Equations
  578.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  579.    wt: 1:   Postscript What is a Variable
  580.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  581.    wt: 1:   Solutions For Arithmetic Exercises
  582.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  583.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  584.    wt: 1:   Annotated Links to Material Elsehwere
  585.    wt: 1:   Postscript B Mathematics Education References
  586.    wt: 1:   Postscript A Three Remarks
  587.    wt: 1:   Chapter 11 Elementary Instruction
  588.    wt: 1:   Chapter 10 Transition
  589.    wt: 1:   Chapter 8 Modern Instruction
  590.    wt: 1:   Chapter 7 Two Treatments of Geometry
  591.    wt: 1:   Chapter 5 Four References
  592.    wt: 1:   Chapter 3 Algebra Difficulties
  593.    wt: 1:   Chapter 1 Introduction
  594.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  595.    wt: 1:   Chapter 24 Direct and Indirect Reason
  596.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  597.    wt: 1:   Chapter 21 Occurrence Tables
  598.    wt: 1:   Chapter 18 Sense and Knowledge
  599.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  600.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  601.    wt: 1:   Chapter 15 Objective Processes
  602.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  603.    wt: 1:   Chapter 11 Accidental Patterns
  604.    wt: 1:   Chapter 10 Responsibility
  605.    wt: 1:   Chapter 5 Deception
  606.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  607.    wt: 1:   Chapter 2 Skill Development
  608.    wt: 1:   Chapter 1 Introduction
  609.    wt: 1:   Three Remarks
  610.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  611.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  612.    wt: 1:   O On Learning Mathematics and Science
  613.    wt: 1:   N Mathematics Prepare for College Studies
  614.    wt: 1:   M Words to extend arithmetic
  615.    wt: 1:   J. More on written work and showing skill
  616.    wt: 1:   H more Routine to non routine problem solving
  617.    wt: 1:   H Jigsaw puzzles and problem solving
  618.    wt: 1:   G. Written work formats for developing and showing skill
  619.    wt: 1:   A. Skill has to be seen to believed
  620.    wt: 1:   How to Build Skills and Confidence
  621.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  622.    wt: 1:   Chapter 6 More Algebra and Geometry
  623.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  624.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  625.    wt: 1:   Chapter 3 Algebra Starter Lessons
  626.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  627.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  628.    wt: 1:   Mathematics Education References
  629.    wt: 1:   Mathematics Education References
  630.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  631.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  632.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics

Extended Search

1090 matches:

  1.    wt: 9:   16 cotangent function Definition Graph and Inverse
  2.    wt: 9:   15 cosecant function Definition Graph and Inverse
  3.    wt: 9:   14 secant function Definition Graph and Inverse
  4.    wt: 9:   6 Graph of arccos function
  5.    wt: 9:   A Global Time and Navigation
  6.    wt: 9:   15 Dot and Cross Product
  7.    wt: 9:   8 Parallel Vectors
  8.    wt: 9:   7 Coordinate Addition and Scalar Multiplication
  9.    wt: 9:   4 Resultant of a Sum of Movements
  10.    wt: 9:   2 Signed Coordinates
  11.    wt: 9:   1 Unsigned Coordinates
  12.    wt: 9:   Vector and Complex Number Applet
  13.    wt: 9:   D Straight Lines Slope from Coordinates Examples
  14.    wt: 9:   C Straight Lines Slope from Coordinates
  15.    wt: 9:   B Straight Line Slope Scaling Properties More
  16.    wt: 9:   A Straight Line Slope Scaling Properties
  17.    wt: 9:   14 Straight Lines Equations General Case
  18.    wt: 9:   8 Straight Lines Equation for vertical
  19.    wt: 9:   6 Tangent Function Inclination Angle Take 2
  20.    wt: 9:   4 Tangent Function Properties
  21.    wt: 9:   3 Straight Lines Slope as Tangent of Inclination Angle
  22.    wt: 9:   2 Straight Lines Slopes As Rise Over Run
  23.    wt: 9:   1 Straight Lines Slope Concept
  24.    wt: 9:   32 seven rows of pascals triangle
  25.    wt: 9:   19 Pythagorean Identity For sine and cosine functions
  26.    wt: 9:   12 Graph of tangent function for one period
  27.    wt: 9:   11 tangent function undefined when terminal side vertical
  28.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  29.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  30.    wt: 9:   13 Navigation Location from Angles to 2 Landmarks
  31.    wt: 9:   3 Similarity by Design with coordinates
  32.    wt: 9:   13 Pythagorean spatial distance formulas
  33.    wt: 9:   9 Pythagorean Theorem Chinese Square Proof
  34.    wt: 9:   13 Angle Side Angle Failure
  35.    wt: 9:   A Measurement with Ruler Proper Use
  36.    wt: 9:   8 More Use of Maps Not Drawn to Scale
  37.    wt: 9:   1 Length Measurement
  38.    wt: 9:   4. How to add with decimals B with conversions
  39.    wt: 8:   11 arctan left inverse of tangent Graph
  40.    wt: 8:   8 arcsin left inverse of sine Graph
  41.    wt: 8:   3 Left Inverse of cosine arccos definition
  42.    wt: 8:   2 cosine function more properties
  43.    wt: 8:   1 cosine function properties
  44.    wt: 8:   4 graphing y=Asin(x c)
  45.    wt: 8:   3 graphing y=f(x c) plus K
  46.    wt: 8:   2 Graphing y=Af(x) Vertical Scaling
  47.    wt: 8:   1 graphing y=f(x a)
  48.    wt: 8:   Construction Methods and Criteria for Isometric and Similar Triangles
  49.    wt: 8:   SAS Method For Isometric Or Proportional Triangle Construction
  50.    wt: 8:   Straight Lines ASA Intersection Study More
  51.    wt: 8:   Straight Lines ASA Intersection Study
  52.    wt: 8:   Straight Lines Instersection Solving Equations
  53.    wt: 8:   Straight Lines Intersection of
  54.    wt: 8:   17 tangent function angle sum formulas
  55.    wt: 8:   35 sines and cosines of 2A 3A 4A 5A
  56.    wt: 8:   34 sines and cosines of 2A 3A 4A 5A
  57.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  58.    wt: 8:   31 basic secant cosecant cotangent trig identities
  59.    wt: 8:   30 unit circle calculation of six trigonometric functions
  60.    wt: 8:   27 Logarithmic use of products of sines and cosines
  61.    wt: 8:   22 sine of 22.5 degrees via half angle formulas
  62.    wt: 8:   21 sine and cosine Half Angle Formulas
  63.    wt: 8:   17G Pythagorean Theorem Converse
  64.    wt: 8:   17A The complex number valued trig function cis
  65.    wt: 8:   16 Right Triangle Complementary Angle Relations
  66.    wt: 8:   15 sine cosine Complementary Angle Relations
  67.    wt: 8:   10 Graphs of sines and cosines many periods
  68.    wt: 8:   9 Graphs of sine and cosine over one period
  69.    wt: 8:   8 period of tangent function
  70.    wt: 8:   Unit Circle Development of Trigonometry
  71.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  72.    wt: 8:   1 Angle Measurement with Degrees
  73.    wt: 8:   6 Geometric Diagrams in Class
  74.    wt: 8:   4 Similarity Definition with Coordinate
  75.    wt: 8:   1 Early Concept of Like or Similar Shapes
  76.    wt: 8:   What is and is not here
  77.    wt: 8:   Euclidean Geometry Elsewhere LINKS
  78.    wt: 8:   PS H Distributive Law For Complex Numbers
  79.    wt: 8:   PS E Multiplication with Polar Coordinates
  80.    wt: 8:   PS D Addition with Cartesian Coordinates
  81.    wt: 8:   PS C Similarity Use Recognize it in Trigonometry
  82.    wt: 8:   PS B Parallelogram Construction Methods
  83.    wt: 8:   PS A Kite Construction Methods
  84.    wt: 8:   19 Right Triangle Similarity
  85.    wt: 8:   17 Right Bisectors of Triangle Sides
  86.    wt: 8:   16 Angles Subtended By Chords and Diameters
  87.    wt: 8:   9 Construction of a right bisector
  88.    wt: 8:   Short Course on Euclidean Geometry
  89.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  90.    wt: 8:   2 Measuring Area Directly
  91.    wt: 8:   6 Why Decimal Long Division Methods Works Take I
  92.    wt: 8:   Appendix 2 Three Decimal Subtraction Methods
  93.    wt: 8:   6 Subtraction with Conversion Example with Exercises
  94.    wt: 8:   8 What skills and work habits to require
  95.    wt: 8:   3. How to add with decimals A sans conversions
  96.    wt: 7:   12 motivation for term arctan
  97.    wt: 7:   10 arctan left inverse of tangent Definition
  98.    wt: 7:   9 motivation for name arcsin
  99.    wt: 7:   7 arcsin left inverse of sine Definition
  100.    wt: 7:   5 Swapping Coordinates is a reflection
  101.    wt: 7:   4 possible motivation for term arccos
  102.    wt: 7:   3 Circle Arclengh Proportional to Central Angle
  103.    wt: 7:   Parallel Lines and Parallel Transversals
  104.    wt: 7:   Proportionality of Line Segments From Parallel Transversals
  105.    wt: 7:   Triangle Angles Sum To 180 Degrees
  106.    wt: 7:   Parallel Lines and Alternating Corresponding Angles
  107.    wt: 7:   Parallel Lines and Interior Angles
  108.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  109.    wt: 7:   29 secant cosecant and cotangent for acute angles
  110.    wt: 7:   28 Expressing products of sines cosines as sums
  111.    wt: 7:   26 Formulas for products of sines and cosines
  112.    wt: 7:   25 tangent double angle formula Slope connection
  113.    wt: 7:   24 tangent Angle Difference Formula
  114.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  115.    wt: 7:   20 sine and cosine Double Angle Formulas
  116.    wt: 7:   18 sum of sinusoidal waves as a single wave
  117.    wt: 7:   14 cosine even and sine and tangent are odd
  118.    wt: 7:   7 period of sine and cosine
  119.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  120.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  121.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  122.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  123.    wt: 7:   2 Quadrant I reference Angles
  124.    wt: 7:   1 Unit Points Reflections Rotations
  125.    wt: 7:   19 N th Roots of Unity
  126.    wt: 7:   18 Sixth Roots of Unity
  127.    wt: 7:   15 Pythagorean Theorem Converse
  128.    wt: 7:   13 Trig Formulas for dot and cross Products
  129.    wt: 7:   9 The complex number valued trig function cis
  130.    wt: 7:   8 Unit Circle Development of Trigonometry
  131.    wt: 7:   8 Triangles Cascade Problem Solving
  132.    wt: 7:   7 Trignometric Ratios Unit Circle
  133.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  134.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  135.    wt: 7:   3 Trigonometric Ratios sine and cosine
  136.    wt: 7:   2 Similar Triangles Equality of Corresponding Side Ratios
  137.    wt: 7:   12 Triangles Similarity More Problems
  138.    wt: 7:   11 Triangle Similarity Missing Side Problem
  139.    wt: 7:   10 Similarity of Triangles Equivalent of Two Criteria
  140.    wt: 7:   9 Similarity of Triangles Usual Criteria
  141.    wt: 7:   8 Similarity of Triangles and Polygons
  142.    wt: 7:   7 Translations Rotations Reflections Dilatations
  143.    wt: 7:   5 Similarity of Circles Squares and Rectangles
  144.    wt: 7:   2 Similarity By Design
  145.    wt: 7:   12 Links Lessons elsewhere
  146.    wt: 7:   9 Midpoint Coordinates Half Endpoint Sum
  147.    wt: 7:   1 Numerical view of lines and their equations
  148.    wt: 7:   10 Pythagorean plane distance formula
  149.    wt: 7:   2 Cartesian Coordinates with signs
  150.    wt: 7:   PS G Rotation Distributes over Addition
  151.    wt: 7:   PS F Scalar Multiplication Distributes over Addition
  152.    wt: 7:   21 Parallelograms
  153.    wt: 7:   18 Triangle Similarity Take 1
  154.    wt: 7:   15 Triangle Angle Sum is 180 degrees
  155.    wt: 7:   14 Parallel Lines Postulate
  156.    wt: 7:   12 Side Angle Side Failure
  157.    wt: 7:   11 Triangle Construction Fails
  158.    wt: 7:   10 Dropping a perpendicular to line
  159.    wt: 7:   8 Isoceles Triangles
  160.    wt: 7:   7 Angle Side Angle
  161.    wt: 7:   6 Ruler and compass Angle Bisection
  162.    wt: 7:   5 Side Angle Side
  163.    wt: 7:   4 Side Side Side
  164.    wt: 7:   3 Isometry of Triangles Congruence
  165.    wt: 7:   2 Correspondence between Triangles
  166.    wt: 7:   1 Initial Concepts and Terms
  167.    wt: 7:   Division with Counts and Length
  168.    wt: 7:   12 Why Long Division Works Take III
  169.    wt: 7:   11 Another Single Digit Divisor Example
  170.    wt: 7:   10 Division by Five Long and Short Ways
  171.    wt: 7:   9 Why Long Division Works Take II
  172.    wt: 7:   8 Correcting the Mistake
  173.    wt: 7:   7 Long Divison Mistake Catching
  174.    wt: 7:   4 Division with 2 Digit Divsors
  175.    wt: 7:   2 Division with Single Digit Divisors
  176.    wt: 7:   1 Divsion Physical Examples
  177.    wt: 7:   D Decimal Multiplication Methods Derived
  178.    wt: 7:   C Counting Areas with Powers of Ten
  179.    wt: 7:   A Elementary Basis for Multiplication Methods
  180.    wt: 7:   4 Two and Three Digit Multipliers
  181.    wt: 7:   1 Why 3 times 5 gives 15
  182.    wt: 7:   Appendix 1 Decimals Comparison Method Take II
  183.    wt: 7:   8 Subtraction with Units of Measure
  184.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  185.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  186.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  187.    wt: 7:   5. How to add decimals C. Examples
  188.    wt: 6:   Teach the teachers plus goals
  189.    wt: 6:   what should be learnt and When
  190.    wt: 6:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  191.    wt: 6:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  192.    wt: 6:   21 Graphs of functions given by Horizontal Line Method
  193.    wt: 6:   9 Summary Degrees to Radians and back
  194.    wt: 6:   8 Radian Measures of Common Angles
  195.    wt: 6:   7 Radian Measures in special Triangles
  196.    wt: 6:   6 Radian Measure to Degrees
  197.    wt: 6:   5 Degrees to Radian Measure
  198.    wt: 6:   4 Circle Sector Area proportional to Central Angle
  199.    wt: 6:   17F Law of cosines
  200.    wt: 6:   17E Trig Formulas for dot and cross Products
  201.    wt: 6:   17D cis formulas for sine cosines and tangent
  202.    wt: 6:   17C sine and cosine double triple angle formulas
  203.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  204.    wt: 6:   21 Logarithms Powers and Exponentials
  205.    wt: 6:   20 N th Roots of Complex Numbers
  206.    wt: 6:   17 Cube Roots of unity
  207.    wt: 6:   16 References and Originality Question
  208.    wt: 6:   6 Field Properties of Complex Number
  209.    wt: 6:   5 An Easy Proof of the Distributive Law
  210.    wt: 6:   4 Multiplication Properties
  211.    wt: 6:   3 Addition Properties
  212.    wt: 6:   2 Complex Numbers made easier we hope
  213.    wt: 6:   1 Rectangular Polar Coordinates Review
  214.    wt: 6:   Appetizer A Complex Number Applet
  215.    wt: 6:   Four Simple Exercises
  216.    wt: 6:   8 Mid Point Formula
  217.    wt: 6:   7 Exercises to test skill and concept mastery
  218.    wt: 6:   6 Intersection of lines by solving linear systems
  219.    wt: 6:   5 Algebraic View of Slopes
  220.    wt: 6:   4 Equations for lines three forms
  221.    wt: 6:   2 point slope equation for a line
  222.    wt: 6:   12 Spatial Coordinates
  223.    wt: 6:   11 Triangle Inequality
  224.    wt: 6:   7 Complex Numbers Appetizer
  225.    wt: 6:   6 Polar Multiplication and Rotation
  226.    wt: 6:   5 Cartesian Addition and Translation
  227.    wt: 6:   4 Polar Coordinates to and from
  228.    wt: 6:   3 Rectangular Coordinates Review
  229.    wt: 6:   1 Cartesian Coordinates sans signs
  230.    wt: 6:   About Folder Contents
  231.    wt: 6:   10 Euclid Algorithm with 129 125 and with 45 14
  232.    wt: 6:   11 What are real lengths and numbers
  233.    wt: 6:   5 lengths and signs of numbers
  234.    wt: 6:   7 Converting or Changing Units
  235.    wt: 6:   6 Simplification of Fractions with Units
  236.    wt: 6:   4 Fractions with Units
  237.    wt: 6:   1 Addition and Subtraction with Units
  238.    wt: 6:   5 Long Division Include Zeroes or not
  239.    wt: 6:   3 Division Single Digit Divisor Example
  240.    wt: 6:   B Powers of Ten
  241.    wt: 6:   6 Multiplication Commutes Order Not Important
  242.    wt: 6:   3 More One Digit Multipliers
  243.    wt: 6:   2 One Digit Multipliers
  244.    wt: 6:   Subtraction with J Conversions Example
  245.    wt: 6:   Subtraction Another Video Lesson
  246.    wt: 6:   9 22 Minute Subtraction Review Video
  247.    wt: 6:   5 A Tip for Efficent Subtraction
  248.    wt: 6:   2 Subtraction Easy Case Examples
  249.    wt: 6:   1 Comparison and Subtraction Easy Direct Cases
  250.    wt: 6:   7 Adding decimal fractions using decimal point
  251.    wt: 6:   6. Counting and adding units and mixed units
  252.    wt: 6:   2 Decimal Counting Practices
  253.    wt: 6:   1. Explaining Addition Table
  254.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  255.    wt: 6:   Chapter 11. Why Shorthand
  256.    wt: 5:   Appendix 2 primary school Arithmetic 01
  257.    wt: 5:   Appendix 1 primary and preschool mathematic
  258.    wt: 5:   Ramblings Extrinsic numbers theory
  259.    wt: 5:   Skills Chapter 3 Algebra
  260.    wt: 5:   Skills Chapter 1 Arithmetic
  261.    wt: 5:   2 arithmetic with signed numbers
  262.    wt: 5:   1 arithmetic with unsigned numbers
  263.    wt: 5:   why bother
  264.    wt: 5:   which way to go
  265.    wt: 5:   Math Ed if it must be short make it lean effective
  266.    wt: 5:   Maps Plans Drawings
  267.    wt: 5:   Secondary Three Mathematics
  268.    wt: 5:   mathematics curriculum shifts
  269.    wt: 5:   the trouble with algebra
  270.    wt: 5:   three goals for Mathematics Education
  271.    wt: 5:   04 25 when to stop or suspend mathemat
  272.    wt: 5:   three aims for mathematics students
  273.    wt: 5:   Education in mathematics science and technology
  274.    wt: 5:   three kinds of reason in mathematics
  275.    wt: 5:   22 Student Centered Highschool Mathematics
  276.    wt: 5:   2 Radian Measure Numerical Value of one degree
  277.    wt: 5:   1 Degrees and Radians Introduction
  278.    wt: 5:   14 Law of cosines
  279.    wt: 5:   12 cis formulas for sine cosines and tangent
  280.    wt: 5:   11 sine and cosine double triple angle formulas
  281.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  282.    wt: 5:   7 Second Way to Calculate Products
  283.    wt: 5:   11 A Partial Summary
  284.    wt: 5:   10 Midpoint of [a b] and [b a]
  285.    wt: 5:   3 Slope product for perpendicular lines
  286.    wt: 5:   8 Distance Between Points on a Line
  287.    wt: 5:   7 Pythagorean Theorem Chinese Square Proof
  288.    wt: 5:   2 More and Less Than with Unlike Signs
  289.    wt: 5:   8 GCD from Euclidean Algorithm
  290.    wt: 5:   7 negative and additive inverse
  291.    wt: 5:   6 adding signed numbers
  292.    wt: 5:   4 signed coordinates for regions in space
  293.    wt: 5:   3 signed coordinates for maps and planes
  294.    wt: 5:   5 Reciprocals and Division for Fractions with Units
  295.    wt: 5:   3 Multiplying Units and Numbers
  296.    wt: 5:   2 Equality and Units
  297.    wt: 5:   20 Dividing Fractions the Why
  298.    wt: 5:   A Associative Law Theorectical Note
  299.    wt: 5:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  300.    wt: 5:   19 Remainder Arithmetic Rule of 9 for checking sums III
  301.    wt: 5:   18 Remainder Arithmetic Rule of 9 for checking sums II
  302.    wt: 5:   17 Remainder Arithmetic Rule of 9 for checking sums I
  303.    wt: 5:   13 Remainder Arithmetic Modulo 5 Example
  304.    wt: 5:   Long Division Backwards more
  305.    wt: 5:   Long Division Backward
  306.    wt: 5:   Long Division forwards and backwards Example 3
  307.    wt: 5:   Long Division forwards and backwards Example 2
  308.    wt: 5:   Long Division forwards and backwards Example 1
  309.    wt: 5:   5 Decimal Fraction Multiplication
  310.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  311.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  312.    wt: 5:   Video Power Notation in Decimal Expansion
  313.    wt: 5:   Appendix 1 Counting Revisited 15 minute video
  314.    wt: 5:   1 Place Value in Three Digit Whole Numbers
  315.    wt: 5:   Exact Arithmetic Wholes and Fractions
  316.    wt: 5:   Postscript Pythagorean Theorem yet another proof
  317.    wt: 5:   Chapter 13. Acceleration
  318.    wt: 5:   Appendix E. How To Study Mathematics and Why
  319.    wt: 5:   Appendix D. What to do in School and Why
  320.    wt: 5:   Chapter 27 Shorthand Symbols as Pronouns
  321.    wt: 5:   Chapter 26 What is in chapters 27 to 31
  322.    wt: 5:   Postscript Unifying Theme A Fourth Skill For Algebra
  323.    wt: 5:   Chapter 13. Second Reading Guide
  324.    wt: 5:   Chapter 12. Shorthand Usage Guide
  325.    wt: 5:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  326.    wt: 5:   Chapter 8 Skipped Topics and Why
  327.    wt: 5:   Chapter 2 Why Sets
  328.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  329.    wt: 5:   6 Measuring via counting or arithmetic the role of fractions
  330.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  331.    wt: 5:   Helping the Blind in Logic and Mathematics
  332.    wt: 5:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  333.    wt: 5:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  334.    wt: 5:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  335.    wt: 5:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  336.    wt: 4:   I LAMP Introduction Study Habits
  337.    wt: 4:   H LAMP Introduction Instructional Concepts
  338.    wt: 4:   E LAMP Introduction Modern Mathematics
  339.    wt: 4:   C LAMP Introduction Culture in Mathematics Education
  340.    wt: 4:   Skills Chapter 5 Calculus
  341.    wt: 4:   Skills Chapter 4 Logic
  342.    wt: 4:   Ramblings Introduction Algebra Essay
  343.    wt: 4:   Skills Chapter 2 Geometry
  344.    wt: 4:   Skills Chapter 0 Introduction
  345.    wt: 4:   11 pure mathematics
  346.    wt: 4:   5 logarithms and exponentials etc
  347.    wt: 4:   What is POMME
  348.    wt: 4:   three goals to set for students
  349.    wt: 4:   permissions for teachers
  350.    wt: 4:   Applied Maths Program14092009 POMME variant
  351.    wt: 4:   About site lesson plans
  352.    wt: 4:   key notes and themes
  353.    wt: 4:   Mathematics Education Professors
  354.    wt: 4:   teacher certification
  355.    wt: 4:   mathematics in context
  356.    wt: 4:   how letters appear
  357.    wt: 4:   Secondary Two Mathematics
  358.    wt: 4:   Secondary One Mathematics
  359.    wt: 4:   talk the algebra talk
  360.    wt: 4:   three difficulties
  361.    wt: 4:   teaching tips
  362.    wt: 4:   What to Tell Students
  363.    wt: 4:   teaching tutoring algebraic reason
  364.    wt: 4:   05 13 OldSiteEntrancePage
  365.    wt: 4:   04 29 New Mathematics Curriculum
  366.    wt: 4:   02 21 words for teachers
  367.    wt: 4:   02 20 mathematics education references
  368.    wt: 4:   Theory of Knowledge
  369.    wt: 4:   mathematics instruction in general
  370.    wt: 4:   Different Kinds of Reasoning in maths
  371.    wt: 4:   How to be a better instructor
  372.    wt: 4:   need for a mixed mathematics curriculum
  373.    wt: 4:   Leaner mathematics curriculum
  374.    wt: 4:   words for mathematics instructor
  375.    wt: 4:   chapitre 03 A Propos Des Prochains Chapitre
  376.    wt: 4:   Home Tutoring and Home Schooling
  377.    wt: 4:   6 Discipline Who is in Charge Conserving Authority
  378.    wt: 4:   25 Absolute Value greatest integer and saw tooth functions
  379.    wt: 4:   22 Square Root function graphically
  380.    wt: 4:   19 Horizontal line rule and method
  381.    wt: 4:   17 Function maxima minima and their location
  382.    wt: 4:   13 From one to one to many to one
  383.    wt: 4:   7 Functions with finite domains
  384.    wt: 4:   4 Function notation in and beyond mathematics
  385.    wt: 4:   3 Formula or function graphing exercise
  386.    wt: 4:   17 Arrows Rotate to Reverse with Length Unchanged
  387.    wt: 4:   C Three Decimal Subtraction Methods
  388.    wt: 4:   3 More and Less Than with Unlike Signs
  389.    wt: 4:   arithmetic videos Real Player Format
  390.    wt: 4:   4 Greater More Less Than Signs in General
  391.    wt: 4:   1 More and Less Than for Counts and Measures
  392.    wt: 4:   17 GCD LCM of 85 and 60 via Prime
  393.    wt: 4:   13 GCD from given Prime Factorization
  394.    wt: 4:   11 GCD 2700 288 via Euclid Algorithm
  395.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  396.    wt: 4:   LCM 60 45 Avoid List Method Use Prime
  397.    wt: 4:   2 Least Common Multiple LCM intro via list method
  398.    wt: 4:   10 dividing signed numbers
  399.    wt: 4:   9 subtracting signed numbers
  400.    wt: 4:   8 multiplying signed numbers
  401.    wt: 4:   2 signed and unsigned numbers as coordinates
  402.    wt: 4:   D Three Term Ratios
  403.    wt: 4:   21 Working With Signs
  404.    wt: 4:   21 Reciprocals for Fractions and Wholes
  405.    wt: 4:   19 Dividing Fractions How TO
  406.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  407.    wt: 4:   14 Adding and Subtracting with Like Denominators
  408.    wt: 4:   13 Fraction Comparison Algebraic View
  409.    wt: 4:   1 What is a fraction Take II
  410.    wt: 4:   1 What is a fraction
  411.    wt: 4:   C Divisibility by 11 Integer Recognition Method
  412.    wt: 4:   B Integer Long Division Multiple Choices
  413.    wt: 4:   13 Subtraction with Additive Inverse
  414.    wt: 4:   4 Adding Movements wiht opposite directions
  415.    wt: 4:   3 Adding Movements with same direction
  416.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  417.    wt: 4:   23 Remainder Arithmetic Modulo 2
  418.    wt: 4:   22 Remainder Arithmetic Modulo 3 more
  419.    wt: 4:   21 Remainder Arithmetic Modulo 3
  420.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  421.    wt: 4:   15 Remainder Arithmetic Modulo 9 Example
  422.    wt: 4:   14 Remainder Arithmetic Modulo 9 Example
  423.    wt: 4:   12 Remainder Arithmetic Modulo 10 Example
  424.    wt: 4:   11 Remainder Arithmetic Long Division by 5 Quickly more
  425.    wt: 4:   10 Remainder Arithmetic Long Division by 5 Quickly
  426.    wt: 4:   9 Remainder Arithmetic Divisibility by 5
  427.    wt: 4:   8 Remainder Arithmetic Morulo 5 Examples II
  428.    wt: 4:   7 Remainder Arithmetic Modulo 5 Examples I
  429.    wt: 4:   6 Remainder Arithmetic Modulo 5 Propertie
  430.    wt: 4:   5 Remainder Arithmetic Modulo 5
  431.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  432.    wt: 4:   3 Remainder Arithmetic Modulos 10 more still
  433.    wt: 4:   2 Remainder Arithmetic Modulo 10 more
  434.    wt: 4:   1 Remainder Arithmetic Modulo 10
  435.    wt: 4:   13 video Factors of 24 using prime
  436.    wt: 4:   6 Sieve of Eratosthenes and Square Rule
  437.    wt: 4:   2 Prime and Composites less than 16
  438.    wt: 4:   1 video how Products are bigger than factor
  439.    wt: 4:   2 Groups of Three Place Value for Multidigit Decimals
  440.    wt: 4:   Quick history of numbers and algebra
  441.    wt: 4:   Formula Evaluation how to show work
  442.    wt: 4:   Expression Evaluation how to show work
  443.    wt: 4:   The 20 Times Table
  444.    wt: 4:   The 12 Times Table Visually
  445.    wt: 4:   Practical Methods Ends and Values for Arithmetic
  446.    wt: 4:   015 School and work day counting tables
  447.    wt: 4:   014 Counting Days with Calendars
  448.    wt: 4:   013 Travel Time Tables
  449.    wt: 4:   5 Conversion Arithmetic
  450.    wt: 4:   4 Mixing and Changing Units of Time
  451.    wt: 4:   3 Units and Lengths of Time
  452.    wt: 4:   2 Time and Date Matters in School
  453.    wt: 4:   10 Three one sided limits with infinite values
  454.    wt: 4:   Chapter 23 Links To Trigonometry
  455.    wt: 4:   Chapter 20 Vectors and Complex Numbers
  456.    wt: 4:   Chapter 11. Graphing Slope versus Position
  457.    wt: 4:   Chapter 30 Truth Tables
  458.    wt: 4:   Chapter 21. Third Reading Guide
  459.    wt: 4:   Chapter 19. Functions and Sets
  460.    wt: 4:   Chapter 16. Painless Theorem Proving
  461.    wt: 4:   Chapter 10 Describing and Changing Calculations
  462.    wt: 4:   Chapter 6 Change of Language
  463.    wt: 4:   Chapter 4 Longer Chains of Reason
  464.    wt: 4:   Chapter 3 Chains of Reason
  465.    wt: 4:   Chapter 1 Introduction to Chapters 2 to 6
  466.    wt: 4:   Postscript A Three Remarks
  467.    wt: 4:   Chapter 12 Four Phases
  468.    wt: 4:   Chapter 9 The Two Ends
  469.    wt: 4:   Chapter 6 Rule Based Reason in Mathematics
  470.    wt: 4:   Chapter 4 Complex Numbers and Why Slopes
  471.    wt: 4:   Chapter 2 For and Against Mathematics
  472.    wt: 4:   Chapter 20 Shorthand Symbols as Pronouns
  473.    wt: 4:   Chapter 19 What is in chapters 20 to 24
  474.    wt: 4:   Chapter 9 What is in Chapters 10 to 18
  475.    wt: 4:   Chapter 3 What is in chapters 4 to 8
  476.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  477.    wt: 4:   Chapter 7 Calculus Previews and Calculus Lightly
  478.    wt: 4:   Chapter 6 More Algebra and Geometry
  479.    wt: 4:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  480.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  481.    wt: 4:   Chapter 3 Algebra Starter Lessons
  482.    wt: 4:   Chapter 1 Arithmetic
  483.    wt: 4:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  484.    wt: 4:   Which Way To Go
  485.    wt: 3:   K LAMP Musings Science Education
  486.    wt: 3:   J LAMP Introduction Extrinsic Origins
  487.    wt: 3:   G LAMP Introduction Problem Solving Skills
  488.    wt: 3:   F LAMP Introduction Prerequisites
  489.    wt: 3:   B LAMP Introduction Curriculum Development Standards
  490.    wt: 3:   A Introduction Objectives
  491.    wt: 3:   10 statistics
  492.    wt: 3:   9 combinatorics probability sets
  493.    wt: 3:   8 analytic geometry etc
  494.    wt: 3:   7 logic review and decimals an odd combination
  495.    wt: 3:   6 polynomials etc
  496.    wt: 3:   4 algebra
  497.    wt: 3:   3 Euclidean Geometry Leanly
  498.    wt: 3:   website reviews
  499.    wt: 3:   activities for students
  500.    wt: 3:   links Education Resources online
  501.    wt: 3:   site origins
  502.    wt: 3:   site eurekas
  503.    wt: 3:   modern education
  504.    wt: 3:   learning takes time
  505.    wt: 3:   grouping students according to ability
  506.    wt: 3:   Postscript 2007 01 10
  507.    wt: 3:   Education Reform Inconsistencies
  508.    wt: 3:   five decades make a difference
  509.    wt: 3:   geometric implications for algebra
  510.    wt: 3:   Lessening Algebra Difficulties
  511.    wt: 3:   standards for course material
  512.    wt: 3:   Operational Viewpoint to Value
  513.    wt: 3:   formal or informal peer review
  514.    wt: 3:   cultivating intelligence
  515.    wt: 3:   Four ways to improve education reform
  516.    wt: 3:   Motivation and Context Problem
  517.    wt: 3:   Prequel In For A Penny In For A Pound
  518.    wt: 3:   education an empirical art
  519.    wt: 3:   fairness and inductive principles for instruction
  520.    wt: 3:   chapitre 07 01 principle D induction mathematique
  521.    wt: 3:   chapitre 07 00 Des chaines plus longues de la raison
  522.    wt: 3:   chapitre 06 00 Chaines de la raison
  523.    wt: 3:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  524.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  525.    wt: 3:   18 Primary School Mathematics
  526.    wt: 3:   17 Math Booklets for children and young teenagers
  527.    wt: 3:   13 Addition and Addition Tables
  528.    wt: 3:   11 Help and Defend Your Child or Teens Education
  529.    wt: 3:   Ages 12 to 14 Skills with take home value
  530.    wt: 3:   26 Function definitions done and coming
  531.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  532.    wt: 3:   23 Inverse Functions
  533.    wt: 3:   20 Interchanging coordinates a reflection
  534.    wt: 3:   18 Vertical Line Rule and Method
  535.    wt: 3:   15 Sign analysis of functions
  536.    wt: 3:   12 Function Domain Recognition Exercises
  537.    wt: 3:   11 Function Domain Range Source and Targets
  538.    wt: 3:   9 Set theory term relation possible origins
  539.    wt: 3:   8 Set view of relations and functions
  540.    wt: 3:   5 Function notation for geometric transformations
  541.    wt: 3:   2 Algebraic use of function notation
  542.    wt: 3:   1 Geometric Introduction of Function Notation
  543.    wt: 3:   9 quadratics physical and further context
  544.    wt: 3:   11 Growth and Decay in Biology
  545.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  546.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  547.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  548.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  549.    wt: 3:   5 Natural Logarithm Calculator Exercises
  550.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  551.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  552.    wt: 3:   13 Arrows and Vectors in a Plane
  553.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  554.    wt: 3:   E Long Division Methods more
  555.    wt: 3:   D Long Division Methods
  556.    wt: 3:   A Decimal Addition Columm Methods
  557.    wt: 3:   8 Column Multiplication Methods in General
  558.    wt: 3:   7 Decimals Multiplication Methods Examples
  559.    wt: 3:   6 Column Methods for Decimal Multiplication
  560.    wt: 3:   5 Distributive Law for Whole Numbers
  561.    wt: 3:   1 The Counting Origins of Numbers
  562.    wt: 3:   5 Greater More Less Than Signs in General
  563.    wt: 3:   2 More and Less Than for Counts and Measures
  564.    wt: 3:   2 Essentially one exercises three with solution
  565.    wt: 3:   13 Naming Identifying Formulas with Words
  566.    wt: 3:   6 Three Notions of What is a Variable
  567.    wt: 3:   3 Comparison of Negative Numbers
  568.    wt: 3:   5 Square Roots with primes more still
  569.    wt: 3:   4 Square Roots with primes more
  570.    wt: 3:   3 Properties of Square Roots with example
  571.    wt: 3:   2 Square Roots with Prime
  572.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  573.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  574.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  575.    wt: 3:   7 GCD and LCM from prime factorization
  576.    wt: 3:   6 GCD from Prime
  577.    wt: 3:   5 Common Divisors 60 45 via Prime
  578.    wt: 3:   4 LCM of 8 and 10 via Prime
  579.    wt: 3:   1 Least Common Multiples LCM Introduction
  580.    wt: 3:   12 GCD 2700 288 via Prime
  581.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  582.    wt: 3:   4 Counting with Trees Product Rule Take I
  583.    wt: 3:   3 Counting with Tables and Trees II
  584.    wt: 3:   2 Counting with Tables and Trees I
  585.    wt: 3:   1 Counting and Counting Methods I
  586.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  587.    wt: 3:   B Fractions and Two Term Ratios
  588.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  589.    wt: 3:   18 Efficient Ways to Multiply
  590.    wt: 3:   17 Efficient Ways to Add and Subtract
  591.    wt: 3:   16 Addition Subtraction Comparision Compared
  592.    wt: 3:   12 Fraction Comparison
  593.    wt: 3:   11 Simplification an Algebraic View
  594.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  595.    wt: 3:   9 Improper Fractions and Mixed Numbers
  596.    wt: 3:   8 Numerals Fractionals Quantals Take II
  597.    wt: 3:   7 Numerals Fractionals Quantals
  598.    wt: 3:   6 Multiplication Algebraically Take II
  599.    wt: 3:   5 Equivalent Fractions
  600.    wt: 3:   4 Fraction Multiplication
  601.    wt: 3:   3 Unit fraction of a fraction
  602.    wt: 3:   2 Unit Fraction Multiplication
  603.    wt: 3:   12 Adding Integers More Examples
  604.    wt: 3:   11 Adding Integers Formulas and Examples
  605.    wt: 3:   9 Multiplying Integers
  606.    wt: 3:   8 Multiplication by Signed Numbers Integers
  607.    wt: 3:   7 Multiplication by Signs
  608.    wt: 3:   6 Multiplication by Natural Numbers
  609.    wt: 3:   5 Zero Movement and Additive Inverses
  610.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  611.    wt: 3:   1 Integers as Coordinates
  612.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  613.    wt: 3:   26 Divisibility by 2 3 5 Example
  614.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  615.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  616.    wt: 3:   20 Uniqueness of Prime Factorization
  617.    wt: 3:   17 Identify and Count Factors using Primes
  618.    wt: 3:   12 LCD GCD and LCM using Primes
  619.    wt: 3:   11 Efficient Square Rule Use
  620.    wt: 3:   11 Place Value SI Standard International way
  621.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  622.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  623.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  624.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  625.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  626.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  627.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  628.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  629.    wt: 3:   About folder contents
  630.    wt: 3:   016 Numbering Occidental Calendar Days
  631.    wt: 3:   012 Division of Time Intervals by Time Intervals
  632.    wt: 3:   011 Division of Time Intervals By Numbers
  633.    wt: 3:   010 Repeated Addition of Time Intervals
  634.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  635.    wt: 3:   8 Addition of Time Intervals via subtotaling
  636.    wt: 3:   7 Addition of Time Intervals
  637.    wt: 3:   6 How long is a million seconds
  638.    wt: 3:   1 Intro of Kids To Time Date Skills
  639.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  640.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  641.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  642.    wt: 3:   12 Limits with Parameters and Derivatives Take I
  643.    wt: 3:   11 Limits at infinity Three Examples
  644.    wt: 3:   3 Decimal insights for limits continuity convergence
  645.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  646.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  647.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  648.    wt: 3:   Chapter 12. Units and Slopes
  649.    wt: 3:   Chapter 10 Slopes and Units
  650.    wt: 3:   Chapter 9 About First Courses in Calculus
  651.    wt: 3:   Chapter 8. Slope Interpretation
  652.    wt: 3:   Chapter 7 Slopes and Velocity
  653.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  654.    wt: 3:   Chapter 5. Slope Sign Tests
  655.    wt: 3:   Chapter 3. Slope Sign Analysis
  656.    wt: 3:   Chapter 1.Introduction
  657.    wt: 3:   Appendix C. How to Read
  658.    wt: 3:   Appendix B. How To Learn
  659.    wt: 3:   Chapter 31 Direct and Indirect Reason
  660.    wt: 3:   Chapter 29 Contrapositive and Vacuously True Implications
  661.    wt: 3:   Chapter 28 Occurrence Tables
  662.    wt: 3:   Chapter 25. Mathematical Induction Examples
  663.    wt: 3:   Chapter 18. Rules for Algebra
  664.    wt: 3:   Chapter 15. Solving Linear Equations
  665.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  666.    wt: 3:   Postscript What is a Variable
  667.    wt: 3:   Chapter 9 Talking about Numbers or Quantities
  668.    wt: 3:   Chapter 8 Three Skills For Algebra
  669.    wt: 3:   Solutions For Arithmetic Exercises
  670.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  671.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  672.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  673.    wt: 3:   Annotated Links to Material Elsehwere
  674.    wt: 3:   Postscript B Mathematics Education References
  675.    wt: 3:   Chapter 11 Elementary Instruction
  676.    wt: 3:   Chapter 10 Transition
  677.    wt: 3:   Chapter 8 Modern Instruction
  678.    wt: 3:   Chapter 7 Two Treatments of Geometry
  679.    wt: 3:   Chapter 5 Four References
  680.    wt: 3:   Chapter 3 Algebra Difficulties
  681.    wt: 3:   Chapter 1 Introduction
  682.    wt: 3:   Chapter 23 Truth Tables
  683.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  684.    wt: 3:   Chapter 8 Change of Language
  685.    wt: 3:   Chapter 7 Longer Chains of Reason
  686.    wt: 3:   Chapter 6 Chains of Reason
  687.    wt: 3:   R Why Learn Mathematics Skills
  688.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  689.    wt: 3:   M Words to extend arithmetic
  690.    wt: 3:   L Skills with take home value
  691.    wt: 3:   F. The student teacher tutor feedback loop
  692.    wt: 3:   E. When and how to correct errors
  693.    wt: 3:   D. Check work a must with a caution
  694.    wt: 3:   Appendix A Calculus with Proofs for Keen or Gifted
  695.    wt: 3:   7 Games and Activities for Instruction
  696.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  697.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  698.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  699.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  700.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  701.    wt: 3:   Mathematics Education References
  702.    wt: 3:   Mathematics Education References
  703.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  704.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  705.    wt: 3:   The Math Forum and Site Content
  706.    wt: 2:   chapitre 12 00 les iles et division
  707.    wt: 2:   chapitre 05 00 Deception
  708.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  709.    wt: 2:   chapitre 04 09 Regles accidentelles
  710.    wt: 2:   chapitre 04 08 Limitations et benefices
  711.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  712.    wt: 2:   chapitre 04 06 engagements
  713.    wt: 2:   chapitre 04 05 Implication versus suggestion
  714.    wt: 2:   chapitre 04 04 Parlons de la logique
  715.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  716.    wt: 2:   chapitre 04 02 Deuxieme enigme
  717.    wt: 2:   chapitre 04 01 Premiere enigme
  718.    wt: 2:   chapitre 04 00 Les regles d implication
  719.    wt: 2:   chapitre 02 00 La Communication des idees
  720.    wt: 2:   chapitre 01 00 Introduction
  721.    wt: 2:   problemes algebre et arithmetique
  722.    wt: 2:   4 Energy Power Heat09
  723.    wt: 2:   3 Energy Power Heat08
  724.    wt: 2:   2 Energy Power Heat07
  725.    wt: 2:   1 Energy Power Heat06
  726.    wt: 2:   A Wire Resistance Qualitative01
  727.    wt: 2:   H Series Circuit02
  728.    wt: 2:   E Kirchoffs Second Law
  729.    wt: 2:   D Kirchoff First Law
  730.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  731.    wt: 2:   16 Secondary Mathematics Tips
  732.    wt: 2:   12 Goals and Objectives For Mathematics
  733.    wt: 2:   8 The Effect of Negative Remarks
  734.    wt: 2:   5 Patience Please for Yourself and Your Charges
  735.    wt: 2:   Ages 12 to 14 Arithmetic
  736.    wt: 2:   Ages 10 to 12 Arithmetic
  737.    wt: 2:   Ages 8 to 9
  738.    wt: 2:   Ages 7 to 8
  739.    wt: 2:   Ages 6 to 7
  740.    wt: 2:   Ages 4 plus to 5 plus
  741.    wt: 2:   Ages 3 plus to 4 plus
  742.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  743.    wt: 2:   16 Increasing or decreasing on intervals
  744.    wt: 2:   14 Surjections Injections Bijections
  745.    wt: 2:   10 Interval Notation
  746.    wt: 2:   6 Set Existence Formation and Notation
  747.    wt: 2:   Introduction Reading Guide
  748.    wt: 2:   6 quadratics numerical approach
  749.    wt: 2:   1 quadratics graphing exercises
  750.    wt: 2:   10 Exponential Growth and Decay Models
  751.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  752.    wt: 2:   1 Calculator Starter Exercises
  753.    wt: 2:   7 Links Lessons Elsewhere
  754.    wt: 2:   2 Column Multiplication Method
  755.    wt: 2:   Rewriting algebraic substitution as function substitutions
  756.    wt: 2:   musings do not puiblish real numbers
  757.    wt: 2:   A Modular and Remainder Arithmetic
  758.    wt: 2:   A Signed Number Arithmetic Review
  759.    wt: 2:   26 More Less Greater Than Comparison
  760.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  761.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  762.    wt: 2:   19 Signed Multiples of Vectors
  763.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  764.    wt: 2:   15 Head to Tails in place Addition Associative
  765.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  766.    wt: 2:   9 Division with Digits after Decimal Point
  767.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  768.    wt: 2:   1 Fractions with Finite Decimal Expansions
  769.    wt: 2:   B Decimal Comparison and Subtraction
  770.    wt: 2:   4 Commutative Law Groups Counting Form
  771.    wt: 2:   3 Multiplicative Counting Skills Principles
  772.    wt: 2:   2 Combing Counts Addition Skills and Principles
  773.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  774.    wt: 2:   1 What is Proportionality
  775.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  776.    wt: 2:   6 Compound Interest Forward and Backwards
  777.    wt: 2:   3 Linear Equation Literal Solution More
  778.    wt: 2:   2 Linear Equation Literal Solution
  779.    wt: 2:   1 Changing Calculations
  780.    wt: 2:   4 Comparison of Negative Numbers
  781.    wt: 2:   10 Real Number Lengths and Signs
  782.    wt: 2:   5 Independent versus Dependent Variables
  783.    wt: 2:   4 Changing Letters
  784.    wt: 2:   3 Geometric Formulas and Function Notation
  785.    wt: 2:   1 Formulas Dependence and Function Notation
  786.    wt: 2:   2 Three Examples
  787.    wt: 2:   9 Three Examples
  788.    wt: 2:   6 Three Examples
  789.    wt: 2:   5 Three Examples
  790.    wt: 2:   2 Three Examples
  791.    wt: 2:   Using Letters for Physical Quantities
  792.    wt: 2:   11 Volume of Sphere
  793.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  794.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  795.    wt: 2:   9 Sets in Probability and Statistics
  796.    wt: 2:   7 Cautious or Safe Set Construction
  797.    wt: 2:   3 Counting with Sets etc
  798.    wt: 2:   2 Venn Diagrams
  799.    wt: 2:   3 Adding Words To Arithmetic
  800.    wt: 2:   2 What is a Variable
  801.    wt: 2:   1 Squares and Square Roots Introduction
  802.    wt: 2:   22 Complex Compound Fractions
  803.    wt: 2:   6 Multiplication of Mixed Numbers
  804.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  805.    wt: 2:   D Remainders Modulo 11 Pair Rule
  806.    wt: 2:   10 Integer Multiplication Formulas
  807.    wt: 2:   19 video Prime Factorization Unique
  808.    wt: 2:   18 video Count Factors given Prime Factorization
  809.    wt: 2:   16 video Factors of 980 using prime
  810.    wt: 2:   15 video Factors of 20 using Prime Factorization
  811.    wt: 2:   14 video Factors of 24 Take II
  812.    wt: 2:   10 video Prime Factorization upto 23 squared
  813.    wt: 2:   9 video Prime Factorization upto 19 squared
  814.    wt: 2:   8 video Prime Factorization upto 19
  815.    wt: 2:   7 Calculator Usage Notes and Cautions
  816.    wt: 2:   5 Prime Factorization and a Square Rule
  817.    wt: 2:   4 video Prime Factorization Introduction
  818.    wt: 2:   3 video Primes and Composites from 9 times table
  819.    wt: 2:   Example 4 with x function of y
  820.    wt: 2:   3 Two Chain Rule Method Exercises
  821.    wt: 2:   1 Chain Rule in Reverse Integration Method
  822.    wt: 2:   A Chain Rule Real Player video examples
  823.    wt: 2:   33 Chain Rule Real Player video examples
  824.    wt: 2:   30Chain Rule A Proof
  825.    wt: 2:   29 Chain Rule Optional Reading
  826.    wt: 2:   26 Chain Rule Recognising outer inner functions
  827.    wt: 2:   25 Chain Rule Animated Examples Continued
  828.    wt: 2:   24 Chain Rule Animated Examples
  829.    wt: 2:   20 Chain Rule for Pulley Systems
  830.    wt: 2:   19 Chain Rule for linear functions
  831.    wt: 2:   18 Chain Rule Introduction
  832.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  833.    wt: 2:   9 Limits Continuity and Composition
  834.    wt: 2:   8 Four Animated Examples
  835.    wt: 2:   7 Evaluation by immediate or delayed substitution
  836.    wt: 2:   2 Algebraic codification
  837.    wt: 2:   1 Numerical introduction
  838.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  839.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  840.    wt: 2:   F.5a Equicontinuity Theorems
  841.    wt: 2:   F.1 What Functions are Continuous
  842.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  843.    wt: 2:   Chapter 22 Complex Numbers
  844.    wt: 2:   Chapter 21 Arrow Addition
  845.    wt: 2:   Chapter 18. Slopes Areas Integration
  846.    wt: 2:   Chapter 17. Area Approximation
  847.    wt: 2:   Chapter 16. Velocity Approximation
  848.    wt: 2:   Chapter 15. Slope Approximation
  849.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  850.    wt: 2:   Chapter 4. More Slope Sign Analysis
  851.    wt: 2:   Chapter 2. Slopes and Ski Trails
  852.    wt: 2:   Fall 1983 Calculus Appetizer
  853.    wt: 2:   Foreword
  854.    wt: 2:   Postscript More on Better Performance
  855.    wt: 2:   Postscript For Better Performance
  856.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  857.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  858.    wt: 2:   Chapter 23. Notation For Sums
  859.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  860.    wt: 2:   Chapter 20. Degrees and Radians
  861.    wt: 2:   Foreword
  862.    wt: 2:   Foreword
  863.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  864.    wt: 2:   Chapter 24 Direct and Indirect Reason
  865.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  866.    wt: 2:   Chapter 21 Occurrence Tables
  867.    wt: 2:   Chapter 18 Sense and Knowledge
  868.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  869.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  870.    wt: 2:   Chapter 15 Objective Processes
  871.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  872.    wt: 2:   Chapter 11 Accidental Patterns
  873.    wt: 2:   Chapter 10 Responsibility
  874.    wt: 2:   Chapter 5 Deception
  875.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  876.    wt: 2:   Chapter 2 Skill Development
  877.    wt: 2:   Chapter 1 Introduction
  878.    wt: 2:   Three Remarks
  879.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  880.    wt: 2:   O On Learning Mathematics and Science
  881.    wt: 2:   N Mathematics Prepare for College Studies
  882.    wt: 2:   J. More on written work and showing skill
  883.    wt: 2:   H more Routine to non routine problem solving
  884.    wt: 2:   H Jigsaw puzzles and problem solving
  885.    wt: 2:   A. Skill has to be seen to believed
  886.    wt: 2:   How to Build Skills and Confidence
  887.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  888.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  889.    wt: 2:   Implementation Notes
  890.    wt: 1:   liens
  891.    wt: 1:   problemes responses
  892.    wt: 1:   Trois Notions qui menent a algebre
  893.    wt: 1:   deux definitions pour variable
  894.    wt: 1:   logique deux enigme
  895.    wt: 1:   E Energy Power05
  896.    wt: 1:   D Energy Power04
  897.    wt: 1:   C Energy Power03
  898.    wt: 1:   B Energy Power02
  899.    wt: 1:   A Energy Power01
  900.    wt: 1:   2 Conductance Resistance Duality02
  901.    wt: 1:   1 Conductance Resistance Duality01
  902.    wt: 1:   F Wire Resistance Calculation04
  903.    wt: 1:   E Wire Resistance Calculation03
  904.    wt: 1:   D Wire Resistance Calculation02
  905.    wt: 1:   C Wire Resistance Calculation01
  906.    wt: 1:   B Wire Resistance Qualitative02
  907.    wt: 1:   3 Like resistors in parallel
  908.    wt: 1:   2 Unlike resistors in parallel01
  909.    wt: 1:   1 Like resistors in series
  910.    wt: 1:   G Series Circuit01
  911.    wt: 1:   F Unlike Resistors in Series
  912.    wt: 1:   C Electromotive force conventional current02
  913.    wt: 1:   B Electromotive force conventional current01
  914.    wt: 1:   A Circuit Elements
  915.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  916.    wt: 1:   24 Standards For Skill Develoment Take II
  917.    wt: 1:   24 Standards For Skill Develoment
  918.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  919.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  920.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  921.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  922.    wt: 1:   15 Counting For Parents
  923.    wt: 1:   14 Multiplication and Times Tables
  924.    wt: 1:   10 Ends values for work study instruction
  925.    wt: 1:   9 Streaming by Student Cooperation
  926.    wt: 1:   7 Student Motivation
  927.    wt: 1:   4 Learning Takes Time and Effort
  928.    wt: 1:   3 Preparing for Science Studies
  929.    wt: 1:   2 Reading and Writing Skills
  930.    wt: 1:   1 Speaking Skills
  931.    wt: 1:   Ages 12 to 14 Geometry
  932.    wt: 1:   Ages 10 to 12 Geometry
  933.    wt: 1:   Ages 9 to 10
  934.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  935.    wt: 1:   sign monoticity analysis example 4
  936.    wt: 1:   sign monoticity analysis example 3
  937.    wt: 1:   sign monoticity analysis example 2
  938.    wt: 1:   sign monoticity analysis example 1
  939.    wt: 1:   10 quadratic exercises
  940.    wt: 1:   8 quadratics backward use of various formulas
  941.    wt: 1:   5 quadratics completing the square
  942.    wt: 1:   4 quadratics difference of two squares
  943.    wt: 1:   2 quadratics graphing in general
  944.    wt: 1:   Quadratics in 10 steps
  945.    wt: 1:   2 Square Root Simplification a prequel
  946.    wt: 1:   8 Notes for instructors or tutors
  947.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  948.    wt: 1:   4 Polynomials Long division linear divisor
  949.    wt: 1:   3 Polynomials Multiplication Addition
  950.    wt: 1:   1 Polynomials Distributive Law
  951.    wt: 1:   23 Distributive Law Two Derivations
  952.    wt: 1:   22 Multiplication of Signed Numbers
  953.    wt: 1:   21 Addition of Multiples of a Single Vector
  954.    wt: 1:   12 Real Numbers Line Signed Coordinates
  955.    wt: 1:   11 Signed Number Addition and Addition Properties
  956.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  957.    wt: 1:   8 Division and Mulplication of Compound Fractions
  958.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  959.    wt: 1:   4 Location of Point in Decimal Addition
  960.    wt: 1:   3 Location of Point in Decimal Multiplication
  961.    wt: 1:   2 Counting Digits in Decimal Multiplication
  962.    wt: 1:   2 Fraction Operations Physical Development
  963.    wt: 1:   5 Proportionality in Equivalent Fractions
  964.    wt: 1:   4 Rates Ratios and Proporitionality
  965.    wt: 1:   3 Proportionality Examples
  966.    wt: 1:   2 Algebraic View
  967.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  968.    wt: 1:   5 Triangle Area Formula Backwards
  969.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  970.    wt: 1:   1 Real Numbers Comparison
  971.    wt: 1:   13 Real Number Subtraction
  972.    wt: 1:   12 Real Number Additive Inverses or Negatives
  973.    wt: 1:   9 Coordinates for Regions in Space
  974.    wt: 1:   8 Coordinates for Maps and Planes
  975.    wt: 1:   1 Whole and Natural Numbers
  976.    wt: 1:   2 Computation Rules Evaluation
  977.    wt: 1:   More Exercises
  978.    wt: 1:   Simple Exercises
  979.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  980.    wt: 1:   4 GE III Animated Examples
  981.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  982.    wt: 1:   3 GE III Equation Addition and Multiplication
  983.    wt: 1:   2 GE II Comparison
  984.    wt: 1:   1 GE Substitution four examples
  985.    wt: 1:   4 Solving a triangular system exercise
  986.    wt: 1:   3 Solving triangular system example
  987.    wt: 1:   1 Essentially One Unknown
  988.    wt: 1:   6 Algebraic Solution Example
  989.    wt: 1:   5 Algebraic Solutions Introduction
  990.    wt: 1:   4 Four Examples Fractional Coefficients
  991.    wt: 1:   3 Four Examples
  992.    wt: 1:   Skill Development Notes
  993.    wt: 1:   10 One Example
  994.    wt: 1:   8 One Example
  995.    wt: 1:   7 Two Examples
  996.    wt: 1:   4 Two Examples
  997.    wt: 1:   3 Two Examples
  998.    wt: 1:   Formula Usage Show Work Format
  999.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  1000.    wt: 1:   10 Volume of Pyramid
  1001.    wt: 1:   9 Volume of Cone
  1002.    wt: 1:   8 Compound Interest Formula Evaluation
  1003.    wt: 1:   7 Compound Interest Formula Introduction
  1004.    wt: 1:   2 Another Rectangle Area Formula Example
  1005.    wt: 1:   1 Written work formats for developing and showing skill
  1006.    wt: 1:   8 Sets of Numbers
  1007.    wt: 1:   6 Power Set Notation
  1008.    wt: 1:   5 Product Builder Notation
  1009.    wt: 1:   4 Subset Builder Notation
  1010.    wt: 1:   1 Finite Sets
  1011.    wt: 1:   4 A Brief Story of numbers and algebra
  1012.    wt: 1:   1 Three Skills For Algebra
  1013.    wt: 1:   About Folder Contents
  1014.    wt: 1:   A Related Material in Volume 3
  1015.    wt: 1:   5 Area Under Curve Exercise
  1016.    wt: 1:   A Related lessons in Volume 3
  1017.    wt: 1:   3 Second derivative test
  1018.    wt: 1:   2 Second derivative test prequel
  1019.    wt: 1:   36 Cube root derivative animated
  1020.    wt: 1:   34 Derivative of exponential function
  1021.    wt: 1:   31 Derivatives of inverse functions
  1022.    wt: 1:   28 Chain Rule Preparation for a Proof
  1023.    wt: 1:   23 Chain Rule in general
  1024.    wt: 1:   22 Chain Rule for polynomials
  1025.    wt: 1:   21 Chain Rule for powers
  1026.    wt: 1:   17 Derivatives of quotients of sine and cosine
  1027.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  1028.    wt: 1:   13 sine and cosine derivatives 1st step
  1029.    wt: 1:   12 Quotient rule examples
  1030.    wt: 1:   11 Quotient rule
  1031.    wt: 1:   10 Power rule for negative integers
  1032.    wt: 1:   9 Reciprocal rule
  1033.    wt: 1:   7 Animated Differentiation Examples
  1034.    wt: 1:   6 Power rule from product rule
  1035.    wt: 1:   5 Product Rule
  1036.    wt: 1:   6 Continuity at a point
  1037.    wt: 1:   5 Jumps and absence of unlimited error control
  1038.    wt: 1:   4 Numerical properties
  1039.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  1040.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  1041.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  1042.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  1043.    wt: 1:   G.5 Motions With Bounded Velocities
  1044.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  1045.    wt: 1:   G.3 Constant Difference Theorem Proof
  1046.    wt: 1:   F.5b Extreme Value Theorem
  1047.    wt: 1:   F.4 Finite Covering Theorem
  1048.    wt: 1:   F.3 Intermediate Value Theorem
  1049.    wt: 1:   F.2 Closed Range Theorem
  1050.    wt: 1:   B3 Bolzano Weierstrass Theorem
  1051.    wt: 1:   PostScript For and Against Decimal Perspectives
  1052.    wt: 1:   A1. Introduction
  1053.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  1054.    wt: 1:   Postscript C Consistency as a Tool for Reason
  1055.    wt: 1:   Postscript B More on Story Telling and Reason
  1056.    wt: 1:   Postscript A Story Telling
  1057.    wt: 1:   Foreword
  1058.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  1059.    wt: 1:   S Adding words to algebra
  1060.    wt: 1:   I. Logic and language skills
  1061.    wt: 1:   G. Written work formats for developing and showing skill
  1062.    wt: 1:   C. Domino effect of being careful
  1063.    wt: 1:   B. Domino effect of errors
  1064.    wt: 1:   More Algebra and Slope based Calculus Preview
  1065.    wt: 1:   Systematic Algebra Skill Development Missing Links
  1066.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  1067.    wt: 1:   Road Safety Questions
  1068.    wt: 1:   Site Reviews
  1069.    wt: 13:   13 Velocity Vectors in Physics
  1070.    wt: 11:   6 Vectors with Coordinates
  1071.    wt: 11:   3 Navigation with Arrows or Vectors
  1072.    wt: 11:   10 Straight Lines through Origin Equations More
  1073.    wt: 11:   9 Straight Lines through Origin Equations
  1074.    wt: 11:   3 Lengths and Areas on Maps and Plans
  1075.    wt: 10:   13 cosecant function Definition Graph and Inverse
  1076.    wt: 10:   14 Why Scalar Multiplication Distributes Physical Argument
  1077.    wt: 10:   12 From Applied To Pure Mathematics
  1078.    wt: 10:   11 Component Method
  1079.    wt: 10:   10 Parallelogram Addition Method
  1080.    wt: 10:   9 Head to Tail Coordinate View
  1081.    wt: 10:   5 Head To Tail Arrow Addition
  1082.    wt: 10:   13 Straight Lines Finding Equations from 2 points
  1083.    wt: 10:   12 Straight Lines Graphing mx plus b
  1084.    wt: 10:   11 Straight Lines Graphing y=mx
  1085.    wt: 10:   7 Tangent Function is odd on this domain
  1086.    wt: 10:   5 Tangent Function Graph
  1087.    wt: 10:   13 Graph of tangent function many periods
  1088.    wt: 10:   Why Trigonometry the whyslopes view
  1089.    wt: 10:   6 Figuring with Maps Not to Scale
  1090.    wt: 10:   4 Angles on Maps Plans drawn to scale
Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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