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

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

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

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

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

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

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

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

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  1.    wt: 6:   LAMP Lean Applied Mathematics Program/
  2.    wt: 6:   11 Squares and Square Roots/
  3.    wt: 5:   10 LCM GCD and Euclid GCD Algorithm/
  4.    wt: 4:   11 Parallel Straight Lines and Transversals/
  5.    wt: 4:   12 Comparison of Unsigned and Signed Numbers/
  6.    wt: 4:   A Decimal Counting and Adding Methods/
  7.    wt: 4:   1 Decimal Place Value/
  8.    wt: 3:   Mathematics Education Essays/
  9.    wt: 3:   8 Arithmetic with Signed Numbers/
  10.    wt: 3:   7 Arithmetic and Fractions with Units/
  11.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  12.    wt: 3:   D Decimal Long Division Methods/
  13.    wt: 3:   C Decimal Multiplication Methods/
  14.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  15.    wt: 3:   2 Arithmetic with Decimals/
  16.    wt: 3:   13 Lessons on Limits and Continuity/
  17.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  18.    wt: 2:   Volume 1A Regles et modeles/
  19.    wt: 2:   1 Five Polynomial Operations/
  20.    wt: 2:   15 Arc or Inverse Trigonometric Function/
  21.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  22.    wt: 2:   13 Vectors/
  23.    wt: 2:   12 Function Translating and Rescaling/
  24.    wt: 2:   10 Intersecting Straight Lines and Transversals/
  25.    wt: 2:   1 Maps Plans Measurement/
  26.    wt: 2:   10 Examples of Algebraic Reasoning/
  27.    wt: 2:   Step 1 Stick diagram and fractions/
  28.    wt: 2:   9 Combinatorics Trees Tables and Products/
  29.    wt: 2:   6 Fractions and Ratios/
  30.    wt: 2:   5 Integers/
  31.    wt: 2:   3 Prime Factorization Skills/
  32.    wt: 2:   Arithmetic and Number Theory Skills/
  33.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  34.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  35.    wt: 1:   Archives/
  36.    wt: 1:   Mathematics Skills Year by Year/
  37.    wt: 1:   4 Lines and Slopes Take 1/
  38.    wt: 1:   1 Working With Sets/
  39.    wt: 1:   5 Lessons on Integration/
  40.    wt: 1:   4 Lessons on Using Derivatives/
  41.    wt: 1:   38 Lessons on Calculating Derivatives/
  42.    wt: 1:   70 Calculus Starter Lessons/
  43.    wt: 1:   Volume 1A Pattern Based Reason/
  44.    wt: 1:   Volume 1 Elements of Reason/
  45.    wt: 1:   Mathematics 506 Lessons/
  46.    wt: 1:   Mathematics Skill Development Framework/

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475 matches:

  1.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  2.    wt: 4:   Chapter 9 What is in Chapters 10 to 18
  3.    wt: 3:   Skills Chapter 1 Arithmetic
  4.    wt: 3:   11 pure mathematics
  5.    wt: 3:   Applied Maths Program14092009 POMME variant
  6.    wt: 3:   Ages 12 to 14 Arithmetic
  7.    wt: 3:   Ages 10 to 12 Arithmetic
  8.    wt: 3:   12 From Applied To Pure Mathematics
  9.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  10.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  11.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  12.    wt: 3:   1 Remainder Arithmetic Modulo 10
  13.    wt: 3:   Chapter 11. Graphing Slope versus Position
  14.    wt: 3:   Chapter 26 What is in chapters 27 to 31
  15.    wt: 3:   Chapter 11. Why Shorthand
  16.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  17.    wt: 3:   Chapter 11 Elementary Instruction
  18.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  19.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  20.    wt: 3:   Chapter 11 Accidental Patterns
  21.    wt: 2:   Appendix 2 primary school Arithmetic 01
  22.    wt: 2:   1 arithmetic with unsigned numbers
  23.    wt: 2:   Postscript 2007 01 10
  24.    wt: 2:   Leaner mathematics curriculum
  25.    wt: 2:   1 Conductance Resistance Duality01
  26.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  27.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  28.    wt: 2:   18 Primary School Mathematics
  29.    wt: 2:   16 Secondary Mathematics Tips
  30.    wt: 2:   12 Goals and Objectives For Mathematics
  31.    wt: 2:   11 Help and Defend Your Child or Teens Education
  32.    wt: 2:   Ages 12 to 14 Skills with take home value
  33.    wt: 2:   Ages 12 to 14 Geometry
  34.    wt: 2:   Ages 10 to 12 Geometry
  35.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  36.    wt: 2:   11 Function Domain Range Source and Targets
  37.    wt: 2:   11 Growth and Decay in Biology
  38.    wt: 2:   11 arctan left inverse of tangent Graph
  39.    wt: 2:   11 Component Method
  40.    wt: 2:   11 Straight Lines Graphing y=mx
  41.    wt: 2:   11 tangent function undefined when terminal side vertical
  42.    wt: 2:   11 sine and cosine double triple angle formulas
  43.    wt: 2:   11 Triangle Similarity Missing Side Problem
  44.    wt: 2:   11 A Partial Summary
  45.    wt: 2:   11 Triangle Inequality
  46.    wt: 2:   18 Triangle Similarity Take 1
  47.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  48.    wt: 2:   11 Triangle Construction Fails
  49.    wt: 2:   11 Signed Number Addition and Addition Properties
  50.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  51.    wt: 2:   11 Real Number Addition
  52.    wt: 2:   11 Volume of Sphere
  53.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  54.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  55.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  56.    wt: 2:   11 What are real lengths and numbers
  57.    wt: 2:   11 Simplification an Algebraic View
  58.    wt: 2:   D Remainders Modulo 11 Pair Rule
  59.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  60.    wt: 2:   11 Adding Integers Formulas and Examples
  61.    wt: 2:   21 Remainder Arithmetic Modulo 3
  62.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  63.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  64.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  65.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  66.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  67.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  68.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  69.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  70.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  71.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  72.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  73.    wt: 2:   11 Efficient Square Rule Use
  74.    wt: 2:   11 Another Single Digit Divisor Example
  75.    wt: 2:   1 Why 3 times 5 gives 15
  76.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  77.    wt: 2:   11 Place Value SI Standard International way
  78.    wt: 2:   011 Division of Time Intervals By Numbers
  79.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  80.    wt: 2:   13 sine and cosine derivatives 1st step
  81.    wt: 2:   11 Quotient rule
  82.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  83.    wt: 2:   11 Limits at infinity Three Examples
  84.    wt: 2:   Chapter 21 Arrow Addition
  85.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  86.    wt: 2:   Chapter 18. Slopes Areas Integration
  87.    wt: 2:   Chapter 17. Area Approximation
  88.    wt: 2:   Chapter 16. Velocity Approximation
  89.    wt: 2:   Chapter 15. Slope Approximation
  90.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  91.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  92.    wt: 2:   Chapter 13. Acceleration
  93.    wt: 2:   Chapter 12. Units and Slopes
  94.    wt: 2:   Chapter 10 Slopes and Units
  95.    wt: 2:   Chapter 1.Introduction
  96.    wt: 2:   Chapter 31 Direct and Indirect Reason
  97.    wt: 2:   Chapter 21. Third Reading Guide
  98.    wt: 2:   Chapter 19. Functions and Sets
  99.    wt: 2:   Chapter 18. Rules for Algebra
  100.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  101.    wt: 2:   Chapter 16. Painless Theorem Proving
  102.    wt: 2:   Chapter 15. Solving Linear Equations
  103.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  104.    wt: 2:   Chapter 13. Second Reading Guide
  105.    wt: 2:   Chapter 12. Shorthand Usage Guide
  106.    wt: 2:   Chapter 10 Describing and Changing Calculations
  107.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  108.    wt: 2:   Chapter 12 Four Phases
  109.    wt: 2:   Chapter 10 Transition
  110.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  111.    wt: 2:   Chapter 2 For and Against Mathematics
  112.    wt: 2:   Chapter 1 Introduction
  113.    wt: 2:   Chapter 21 Occurrence Tables
  114.    wt: 2:   Chapter 18 Sense and Knowledge
  115.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  116.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  117.    wt: 2:   Chapter 15 Objective Processes
  118.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  119.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  120.    wt: 2:   Chapter 10 Responsibility
  121.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  122.    wt: 2:   Chapter 1 Introduction
  123.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  124.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  125.    wt: 1:   Appendix 1 primary and preschool mathematic
  126.    wt: 1:   E LAMP Introduction Modern Mathematics
  127.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  128.    wt: 1:   Skills Chapter 5 Calculus
  129.    wt: 1:   Skills Chapter 4 Logic
  130.    wt: 1:   Skills Chapter 3 Algebra
  131.    wt: 1:   Skills Chapter 2 Geometry
  132.    wt: 1:   Skills Chapter 0 Introduction
  133.    wt: 1:   10 statistics
  134.    wt: 1:   3 Euclidean Geometry Leanly
  135.    wt: 1:   2 arithmetic with signed numbers
  136.    wt: 1:   Math Ed if it must be short make it lean effective
  137.    wt: 1:   Mathematics Education Professors
  138.    wt: 1:   mathematics in context
  139.    wt: 1:   Secondary Three Mathematics
  140.    wt: 1:   Secondary Two Mathematics
  141.    wt: 1:   Secondary One Mathematics
  142.    wt: 1:   mathematics curriculum shifts
  143.    wt: 1:   three goals for Mathematics Education
  144.    wt: 1:   05 13 OldSiteEntrancePage
  145.    wt: 1:   04 29 New Mathematics Curriculum
  146.    wt: 1:   02 21 words for teachers
  147.    wt: 1:   02 20 mathematics education references
  148.    wt: 1:   three aims for mathematics students
  149.    wt: 1:   mathematics instruction in general
  150.    wt: 1:   Education in mathematics science and technology
  151.    wt: 1:   three kinds of reason in mathematics
  152.    wt: 1:   need for a mixed mathematics curriculum
  153.    wt: 1:   words for mathematics instructor
  154.    wt: 1:   chapitre 12 00 les iles et division
  155.    wt: 1:   chapitre 07 01 principle D induction mathematique
  156.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  157.    wt: 1:   chapitre 04 01 Premiere enigme
  158.    wt: 1:   chapitre 01 00 Introduction
  159.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  160.    wt: 1:   1 Energy Power Heat06
  161.    wt: 1:   A Energy Power01
  162.    wt: 1:   C Wire Resistance Calculation01
  163.    wt: 1:   A Wire Resistance Qualitative01
  164.    wt: 1:   2 Unlike resistors in parallel01
  165.    wt: 1:   1 Like resistors in series
  166.    wt: 1:   G Series Circuit01
  167.    wt: 1:   B Electromotive force conventional current01
  168.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  169.    wt: 1:   22 Student Centered Highschool Mathematics
  170.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  171.    wt: 1:   17 Math Booklets for children and young teenagers
  172.    wt: 1:   15 Counting For Parents
  173.    wt: 1:   14 Multiplication and Times Tables
  174.    wt: 1:   13 Addition and Addition Tables
  175.    wt: 1:   10 Ends values for work study instruction
  176.    wt: 1:   1 Speaking Skills
  177.    wt: 1:   Ages 9 to 10
  178.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  179.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  180.    wt: 1:   sign monoticity analysis example 1
  181.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  182.    wt: 1:   19 Horizontal line rule and method
  183.    wt: 1:   18 Vertical Line Rule and Method
  184.    wt: 1:   17 Function maxima minima and their location
  185.    wt: 1:   16 Increasing or decreasing on intervals
  186.    wt: 1:   15 Sign analysis of functions
  187.    wt: 1:   14 Surjections Injections Bijections
  188.    wt: 1:   13 From one to one to many to one
  189.    wt: 1:   12 Function Domain Recognition Exercises
  190.    wt: 1:   10 Interval Notation
  191.    wt: 1:   4 Function notation in and beyond mathematics
  192.    wt: 1:   1 Geometric Introduction of Function Notation
  193.    wt: 1:   10 quadratic exercises
  194.    wt: 1:   1 quadratics graphing exercises
  195.    wt: 1:   Quadratics in 10 steps
  196.    wt: 1:   10 Exponential Growth and Decay Models
  197.    wt: 1:   1 Calculator Starter Exercises
  198.    wt: 1:   1 Polynomials Distributive Law
  199.    wt: 1:   16 cotangent function Definition Graph and Inverse
  200.    wt: 1:   15 cosecant function Definition Graph and Inverse
  201.    wt: 1:   14 secant function Definition Graph and Inverse
  202.    wt: 1:   13 cosecant function Definition Graph and Inverse
  203.    wt: 1:   12 motivation for term arctan
  204.    wt: 1:   10 arctan left inverse of tangent Definition
  205.    wt: 1:   1 cosine function properties
  206.    wt: 1:   1 Degrees and Radians Introduction
  207.    wt: 1:   15 Dot and Cross Product
  208.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  209.    wt: 1:   13 Velocity Vectors in Physics
  210.    wt: 1:   10 Parallelogram Addition Method
  211.    wt: 1:   1 Unsigned Coordinates
  212.    wt: 1:   1 graphing y=f(x a)
  213.    wt: 1:   Triangle Angles Sum To 180 Degrees
  214.    wt: 1:   14 Straight Lines Equations General Case
  215.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  216.    wt: 1:   12 Straight Lines Graphing mx plus b
  217.    wt: 1:   10 Straight Lines through Origin Equations More
  218.    wt: 1:   1 Straight Lines Slope Concept
  219.    wt: 1:   17 tangent function angle sum formulas
  220.    wt: 1:   31 basic secant cosecant cotangent trig identities
  221.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  222.    wt: 1:   21 sine and cosine Half Angle Formulas
  223.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  224.    wt: 1:   18 sum of sinusoidal waves as a single wave
  225.    wt: 1:   17G Pythagorean Theorem Converse
  226.    wt: 1:   17F Law of cosines
  227.    wt: 1:   17E Trig Formulas for dot and cross Products
  228.    wt: 1:   17D cis formulas for sine cosines and tangent
  229.    wt: 1:   17C sine and cosine double triple angle formulas
  230.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  231.    wt: 1:   17A The complex number valued trig function cis
  232.    wt: 1:   16 Right Triangle Complementary Angle Relations
  233.    wt: 1:   15 sine cosine Complementary Angle Relations
  234.    wt: 1:   14 cosine even and sine and tangent are odd
  235.    wt: 1:   13 Graph of tangent function many periods
  236.    wt: 1:   12 Graph of tangent function for one period
  237.    wt: 1:   10 Graphs of sines and cosines many periods
  238.    wt: 1:   1 Unit Points Reflections Rotations
  239.    wt: 1:   21 Logarithms Powers and Exponentials
  240.    wt: 1:   19 N th Roots of Unity
  241.    wt: 1:   18 Sixth Roots of Unity
  242.    wt: 1:   17 Cube Roots of unity
  243.    wt: 1:   16 References and Originality Question
  244.    wt: 1:   15 Pythagorean Theorem Converse
  245.    wt: 1:   14 Law of cosines
  246.    wt: 1:   13 Trig Formulas for dot and cross Products
  247.    wt: 1:   12 cis formulas for sine cosines and tangent
  248.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  249.    wt: 1:   1 Rectangular Polar Coordinates Review
  250.    wt: 1:   1 Angle Measurement with Degrees
  251.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  252.    wt: 1:   12 Triangles Similarity More Problems
  253.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  254.    wt: 1:   1 Early Concept of Like or Similar Shapes
  255.    wt: 1:   12 Links Lessons elsewhere
  256.    wt: 1:   10 Midpoint of [a b] and [b a]
  257.    wt: 1:   1 Numerical view of lines and their equations
  258.    wt: 1:   13 Pythagorean spatial distance formulas
  259.    wt: 1:   12 Spatial Coordinates
  260.    wt: 1:   10 Pythagorean plane distance formula
  261.    wt: 1:   1 Cartesian Coordinates sans signs
  262.    wt: 1:   21 Parallelograms
  263.    wt: 1:   19 Right Triangle Similarity
  264.    wt: 1:   17 Right Bisectors of Triangle Sides
  265.    wt: 1:   16 Angles Subtended By Chords and Diameters
  266.    wt: 1:   14 Parallel Lines Postulate
  267.    wt: 1:   13 Angle Side Angle Failure
  268.    wt: 1:   12 Side Angle Side Failure
  269.    wt: 1:   10 Dropping a perpendicular to line
  270.    wt: 1:   1 Initial Concepts and Terms
  271.    wt: 1:   1 Length Measurement
  272.    wt: 1:   A Modular and Remainder Arithmetic
  273.    wt: 1:   A Signed Number Arithmetic Review
  274.    wt: 1:   21 Addition of Multiples of a Single Vector
  275.    wt: 1:   19 Signed Multiples of Vectors
  276.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  277.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  278.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  279.    wt: 1:   15 Head to Tails in place Addition Associative
  280.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  281.    wt: 1:   13 Arrows and Vectors in a Plane
  282.    wt: 1:   12 Real Numbers Line Signed Coordinates
  283.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  284.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  285.    wt: 1:   1 Fractions with Finite Decimal Expansions
  286.    wt: 1:   1 The Counting Origins of Numbers
  287.    wt: 1:   1 What is Proportionality
  288.    wt: 1:   1 Changing Calculations
  289.    wt: 1:   1 Equivalent Computation Rules
  290.    wt: 1:   1 Real Numbers Comparison
  291.    wt: 1:   16 Real Numbers Comparison
  292.    wt: 1:   15 Real Number Division
  293.    wt: 1:   14 Real Number Multiplication
  294.    wt: 1:   13 Real Number Subtraction
  295.    wt: 1:   12 Real Number Additive Inverses or Negatives
  296.    wt: 1:   10 Real Number Lengths and Signs
  297.    wt: 1:   1 Whole and Natural Numbers
  298.    wt: 1:   1 Formulas Dependence and Function Notation
  299.    wt: 1:   1 GE Substitution four examples
  300.    wt: 1:   1 Essentially One Unknown
  301.    wt: 1:   1 Proper Equal Sign Usage
  302.    wt: 1:   10 One Example
  303.    wt: 1:   13 Naming Identifying Formulas with Words
  304.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  305.    wt: 1:   10 Volume of Pyramid
  306.    wt: 1:   1 Written work formats for developing and showing skill
  307.    wt: 1:   1 Finite Sets
  308.    wt: 1:   3 Adding Words To Arithmetic
  309.    wt: 1:   1 Three Skills For Algebra
  310.    wt: 1:   arithmetic videos Real Player Format
  311.    wt: 1:   1 More and Less Than for Counts and Measures
  312.    wt: 1:   1 Squares and Square Roots Introduction
  313.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  314.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  315.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  316.    wt: 1:   13 GCD from given Prime Factorization
  317.    wt: 1:   4 LCM of 8 and 10 via Prime
  318.    wt: 1:   1 Least Common Multiples LCM Introduction
  319.    wt: 1:   12 GCD 2700 288 via Prime
  320.    wt: 1:   1 Counting and Counting Methods I
  321.    wt: 1:   10 dividing signed numbers
  322.    wt: 1:   1 Addition and Subtraction with Units
  323.    wt: 1:   21 Working With Signs
  324.    wt: 1:   21 Reciprocals for Fractions and Wholes
  325.    wt: 1:   19 Dividing Fractions How TO
  326.    wt: 1:   18 Efficient Ways to Multiply
  327.    wt: 1:   17 Efficient Ways to Add and Subtract
  328.    wt: 1:   16 Addition Subtraction Comparision Compared
  329.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  330.    wt: 1:   14 Adding and Subtracting with Like Denominators
  331.    wt: 1:   13 Fraction Comparison Algebraic View
  332.    wt: 1:   12 Fraction Comparison
  333.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  334.    wt: 1:   1 What is a fraction Take II
  335.    wt: 1:   1 What is a fraction
  336.    wt: 1:   13 Subtraction with Additive Inverse
  337.    wt: 1:   12 Adding Integers More Examples
  338.    wt: 1:   10 Integer Multiplication Formulas
  339.    wt: 1:   1 Integers as Coordinates
  340.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  341.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  342.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  343.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  344.    wt: 1:   23 Remainder Arithmetic Modulo 2
  345.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  346.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  347.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  348.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  349.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  350.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  351.    wt: 1:   5 Remainder Arithmetic Modulo 5
  352.    wt: 1:   19 video Prime Factorization Unique
  353.    wt: 1:   18 video Count Factors given Prime Factorization
  354.    wt: 1:   17 Identify and Count Factors using Primes
  355.    wt: 1:   16 video Factors of 980 using prime
  356.    wt: 1:   15 video Factors of 20 using Prime Factorization
  357.    wt: 1:   14 video Factors of 24 Take II
  358.    wt: 1:   13 video Factors of 24 using prime
  359.    wt: 1:   12 LCD GCD and LCM using Primes
  360.    wt: 1:   10 video Prime Factorization upto 23 squared
  361.    wt: 1:   9 video Prime Factorization upto 19 squared
  362.    wt: 1:   8 video Prime Factorization upto 19
  363.    wt: 1:   2 Prime and Composites less than 16
  364.    wt: 1:   1 video how Products are bigger than factor
  365.    wt: 1:   Long Division forwards and backwards Example 1
  366.    wt: 1:   12 Why Long Division Works Take III
  367.    wt: 1:   10 Division by Five Long and Short Ways
  368.    wt: 1:   1 Divsion Physical Examples
  369.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  370.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  371.    wt: 1:   1. Explaining Addition Table
  372.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  373.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  374.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  375.    wt: 1:   Exact Arithmetic Wholes and Fractions
  376.    wt: 1:   The 12 Times Table Visually
  377.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  378.    wt: 1:   016 Numbering Occidental Calendar Days
  379.    wt: 1:   015 School and work day counting tables
  380.    wt: 1:   014 Counting Days with Calendars
  381.    wt: 1:   013 Travel Time Tables
  382.    wt: 1:   012 Division of Time Intervals by Time Intervals
  383.    wt: 1:   010 Repeated Addition of Time Intervals
  384.    wt: 1:   5 Conversion Arithmetic
  385.    wt: 1:   1 Intro of Kids To Time Date Skills
  386.    wt: 1:   Example 1 volume of a pyramid
  387.    wt: 1:   Example 1. Area Between x and x squared
  388.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  389.    wt: 1:   Example 1
  390.    wt: 1:   Area Between Curves Lesson Take 1
  391.    wt: 1:   1 Chain Rule in Reverse Integration Method
  392.    wt: 1:   31 Derivatives of inverse functions
  393.    wt: 1:   21 Chain Rule for powers
  394.    wt: 1:   19 Chain Rule for linear functions
  395.    wt: 1:   18 Chain Rule Introduction
  396.    wt: 1:   17 Derivatives of quotients of sine and cosine
  397.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  398.    wt: 1:   15 sine and cosine derivatives 3rd step
  399.    wt: 1:   14 sine and cosine derivatives 2nd step
  400.    wt: 1:   12 Quotient rule examples
  401.    wt: 1:   10 Power rule for negative integers
  402.    wt: 1:   2 Motivation for Limit Definition Take 1
  403.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  404.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  405.    wt: 1:   10 Three one sided limits with infinite values
  406.    wt: 1:   1 Numerical introduction
  407.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  408.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  409.    wt: 1:   F.1 What Functions are Continuous
  410.    wt: 1:   E1 Error Control Inequalities
  411.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  412.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  413.    wt: 1:   A1. Introduction
  414.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  415.    wt: 1:   Chapter 23 Links To Trigonometry
  416.    wt: 1:   Chapter 22 Complex Numbers
  417.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  418.    wt: 1:   Chapter 9 About First Courses in Calculus
  419.    wt: 1:   Chapter 8. Slope Interpretation
  420.    wt: 1:   Chapter 7 Slopes and Velocity
  421.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  422.    wt: 1:   Chapter 5. Slope Sign Tests
  423.    wt: 1:   Chapter 4. More Slope Sign Analysis
  424.    wt: 1:   Chapter 3. Slope Sign Analysis
  425.    wt: 1:   Chapter 2. Slopes and Ski Trails
  426.    wt: 1:   Fall 1983 Calculus Appetizer
  427.    wt: 1:   Appendix E. How To Study Mathematics and Why
  428.    wt: 1:   Chapter 30 Truth Tables
  429.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  430.    wt: 1:   Chapter 28 Occurrence Tables
  431.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  432.    wt: 1:   Chapter 25. Mathematical Induction Examples
  433.    wt: 1:   Chapter 25. Mathematical Induction Examples
  434.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  435.    wt: 1:   Chapter 23. Notation For Sums
  436.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  437.    wt: 1:   Chapter 20. Degrees and Radians
  438.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  439.    wt: 1:   Chapter 8 Three Skills For Algebra
  440.    wt: 1:   Solutions For Arithmetic Exercises
  441.    wt: 1:   Chapter 6 Change of Language
  442.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  443.    wt: 1:   Chapter 4 Longer Chains of Reason
  444.    wt: 1:   Chapter 3 Chains of Reason
  445.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  446.    wt: 1:   Postscript B Mathematics Education References
  447.    wt: 1:   Chapter 9 The Two Ends
  448.    wt: 1:   Chapter 8 Modern Instruction
  449.    wt: 1:   Chapter 7 Two Treatments of Geometry
  450.    wt: 1:   Chapter 5 Four References
  451.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  452.    wt: 1:   Chapter 3 Algebra Difficulties
  453.    wt: 1:   Chapter 24 Direct and Indirect Reason
  454.    wt: 1:   Chapter 23 Truth Tables
  455.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  456.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  457.    wt: 1:   Chapter 8 Change of Language
  458.    wt: 1:   Chapter 7 Longer Chains of Reason
  459.    wt: 1:   Chapter 6 Chains of Reason
  460.    wt: 1:   Chapter 5 Deception
  461.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  462.    wt: 1:   Chapter 2 Skill Development
  463.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  464.    wt: 1:   R Why Learn Mathematics Skills
  465.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  466.    wt: 1:   O On Learning Mathematics and Science
  467.    wt: 1:   N Mathematics Prepare for College Studies
  468.    wt: 1:   M Words to extend arithmetic
  469.    wt: 1:   Helping the Blind in Logic and Mathematics
  470.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  471.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  472.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  473.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  474.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  475.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

902 matches:

  1.    wt: 9:   1 Squares and Square Roots Introduction
  2.    wt: 9:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  3.    wt: 8:   Appendix 2 primary school Arithmetic 01
  4.    wt: 8:   Skills Chapter 5 Calculus
  5.    wt: 8:   Skills Chapter 4 Logic
  6.    wt: 8:   Skills Chapter 3 Algebra
  7.    wt: 8:   Skills Chapter 2 Geometry
  8.    wt: 8:   Skills Chapter 0 Introduction
  9.    wt: 8:   5 Square Roots with primes more still
  10.    wt: 8:   4 Square Roots with primes more
  11.    wt: 8:   3 Properties of Square Roots with example
  12.    wt: 8:   2 Square Roots with Prime
  13.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
  14.    wt: 8:   16 GCD and LCM of 650 225 via Prime
  15.    wt: 8:   11 GCD 2700 288 via Euclid Algorithm
  16.    wt: 8:   9 GCD of 360 110 via Primes and Euclid Algorithm
  17.    wt: 8:   11 Place Value SI Standard International way
  18.    wt: 7:   Appendix 1 primary and preschool mathematic
  19.    wt: 7:   E LAMP Introduction Modern Mathematics
  20.    wt: 7:   C LAMP Introduction Culture in Mathematics Education
  21.    wt: 7:   Ramblings Extrinsic numbers theory
  22.    wt: 7:   Ramblings Introduction Algebra Essay
  23.    wt: 7:   11 pure mathematics
  24.    wt: 7:   13 GCD from given Prime Factorization
  25.    wt: 7:   7 GCD and LCM from prime factorization
  26.    wt: 7:   4 LCM of 8 and 10 via Prime
  27.    wt: 7:   1 Least Common Multiples LCM Introduction
  28.    wt: 7:   12 GCD 2700 288 via Prime
  29.    wt: 7:   11 What are real lengths and numbers
  30.    wt: 7:   11 Another Single Digit Divisor Example
  31.    wt: 7:   Appendix 1 Counting Revisited 15 minute video
  32.    wt: 7:   Chapter 11 Elementary Instruction
  33.    wt: 6:   K LAMP Musings Science Education
  34.    wt: 6:   J LAMP Introduction Extrinsic Origins
  35.    wt: 6:   I LAMP Introduction Study Habits
  36.    wt: 6:   H LAMP Introduction Instructional Concepts
  37.    wt: 6:   G LAMP Introduction Problem Solving Skills
  38.    wt: 6:   F LAMP Introduction Prerequisites
  39.    wt: 6:   B LAMP Introduction Curriculum Development Standards
  40.    wt: 6:   A Introduction Objectives
  41.    wt: 6:   Applied Maths Program14092009 POMME variant
  42.    wt: 6:   Secondary Three Mathematics
  43.    wt: 6:   12 From Applied To Pure Mathematics
  44.    wt: 6:   11 Component Method
  45.    wt: 6:   1 More and Less Than for Counts and Measures
  46.    wt: 6:   8 GCD from Euclidean Algorithm
  47.    wt: 6:   6 GCD from Prime
  48.    wt: 6:   18 Efficient Ways to Multiply
  49.    wt: 6:   11 Adding Integers Formulas and Examples
  50.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  51.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  52.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  53.    wt: 6:   1 Remainder Arithmetic Modulo 10
  54.    wt: 6:   11 Efficient Square Rule Use
  55.    wt: 6:   Long Division forwards and backwards Example 1
  56.    wt: 6:   1 Why 3 times 5 gives 15
  57.    wt: 6:   1. Explaining Addition Table
  58.    wt: 6:   10 Names for Big Numbers and Powers of Ten Expansion
  59.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  60.    wt: 6:   11 Limits at infinity Three Examples
  61.    wt: 6:   10 Three one sided limits with infinite values
  62.    wt: 6:   Chapter 11 Accidental Patterns
  63.    wt: 5:   1 arithmetic with unsigned numbers
  64.    wt: 5:   Mathematics Education Professors
  65.    wt: 5:   grouping students according to ability
  66.    wt: 5:   Postscript 2007 01 10
  67.    wt: 5:   Secondary Two Mathematics
  68.    wt: 5:   05 13 OldSiteEntrancePage
  69.    wt: 5:   04 29 New Mathematics Curriculum
  70.    wt: 5:   02 21 words for teachers
  71.    wt: 5:   02 20 mathematics education references
  72.    wt: 5:   three aims for mathematics students
  73.    wt: 5:   mathematics instruction in general
  74.    wt: 5:   Education in mathematics science and technology
  75.    wt: 5:   three kinds of reason in mathematics
  76.    wt: 5:   cultivating intelligence
  77.    wt: 5:   Leaner mathematics curriculum
  78.    wt: 5:   Ages 12 to 14 Arithmetic
  79.    wt: 5:   Ages 10 to 12 Arithmetic
  80.    wt: 5:   Triangle Angles Sum To 180 Degrees
  81.    wt: 5:   11 A Partial Summary
  82.    wt: 5:   5 Common Divisors 60 45 via Prime
  83.    wt: 5:   LCM 60 45 Avoid List Method Use Prime
  84.    wt: 5:   2 Least Common Multiple LCM intro via list method
  85.    wt: 5:   10 dividing signed numbers
  86.    wt: 5:   1 Addition and Subtraction with Units
  87.    wt: 5:   21 Working With Signs
  88.    wt: 5:   21 Reciprocals for Fractions and Wholes
  89.    wt: 5:   19 Dividing Fractions How TO
  90.    wt: 5:   17 Efficient Ways to Add and Subtract
  91.    wt: 5:   11 Simplification an Algebraic View
  92.    wt: 5:   1 What is a fraction Take II
  93.    wt: 5:   1 What is a fraction
  94.    wt: 5:   D Remainders Modulo 11 Pair Rule
  95.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  96.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  97.    wt: 5:   24 Divisibility Tests for 2 3 5 9 10
  98.    wt: 5:   21 Remainder Arithmetic Modulo 3
  99.    wt: 5:   19 Remainder Arithmetic Rule of 9 for checking sums III
  100.    wt: 5:   18 Remainder Arithmetic Rule of 9 for checking sums II
  101.    wt: 5:   16 Remainder Arithmetic Modulo 9 Example 2
  102.    wt: 5:   15 Remainder Arithmetic Modulo 9 Example
  103.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  104.    wt: 5:   13 Remainder Arithmetic Modulo 5 Example
  105.    wt: 5:   10 Remainder Arithmetic Long Division by 5 Quickly
  106.    wt: 5:   7 Remainder Arithmetic Modulo 5 Examples I
  107.    wt: 5:   4 Remainder Arithmetic Modulo 10 in general
  108.    wt: 5:   3 Remainder Arithmetic Modulos 10 more still
  109.    wt: 5:   2 Remainder Arithmetic Modulo 10 more
  110.    wt: 5:   Division with Counts and Length
  111.    wt: 5:   Long Division forwards and backwards Example 3
  112.    wt: 5:   12 Why Long Division Works Take III
  113.    wt: 5:   10 Division by Five Long and Short Ways
  114.    wt: 5:   1 Divsion Physical Examples
  115.    wt: 5:   1 Comparison and Subtraction Easy Direct Cases
  116.    wt: 5:   8 Review Lesson 1 2 4 and 6 All in One
  117.    wt: 5:   Area Between Curves Lesson Take 2
  118.    wt: 5:   Area Between Curves Lesson Take 1
  119.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  120.    wt: 5:   12 Limits with Parameters and Derivatives Take I
  121.    wt: 5:   1 Numerical introduction
  122.    wt: 5:   Chapter 11. Graphing Slope versus Position
  123.    wt: 5:   Chapter 11. Why Shorthand
  124.    wt: 5:   Chapter 12 Four Phases
  125.    wt: 5:   Chapter 10 Transition
  126.    wt: 5:   Chapter 1 Introduction
  127.    wt: 5:   Chapter 19 What is in chapters 20 to 24
  128.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
  129.    wt: 5:   Chapter 9 What is in Chapters 10 to 18
  130.    wt: 4:   10 statistics
  131.    wt: 4:   which way to go
  132.    wt: 4:   Math Ed if it must be short make it lean effective
  133.    wt: 4:   activities for students
  134.    wt: 4:   key notes and themes
  135.    wt: 4:   modern education
  136.    wt: 4:   learning takes time
  137.    wt: 4:   what should be learnt and When
  138.    wt: 4:   mathematics in context
  139.    wt: 4:   five decades make a difference
  140.    wt: 4:   Maps Plans Drawings
  141.    wt: 4:   how letters appear
  142.    wt: 4:   Secondary One Mathematics
  143.    wt: 4:   mathematics curriculum shifts
  144.    wt: 4:   three goals for Mathematics Education
  145.    wt: 4:   04 25 when to stop or suspend mathemat
  146.    wt: 4:   standards for course material
  147.    wt: 4:   Operational Viewpoint to Value
  148.    wt: 4:   formal or informal peer review
  149.    wt: 4:   Theory of Knowledge
  150.    wt: 4:   Different Kinds of Reasoning in maths
  151.    wt: 4:   Four ways to improve education reform
  152.    wt: 4:   need for a mixed mathematics curriculum
  153.    wt: 4:   words for mathematics instructor
  154.    wt: 4:   11 Help and Defend Your Child or Teens Education
  155.    wt: 4:   Ages 12 to 14 Skills with take home value
  156.    wt: 4:   Ages 12 to 14 Geometry
  157.    wt: 4:   Ages 10 to 12 Geometry
  158.    wt: 4:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  159.    wt: 4:   11 Function Domain Range Source and Targets
  160.    wt: 4:   11 Growth and Decay in Biology
  161.    wt: 4:   11 arctan left inverse of tangent Graph
  162.    wt: 4:   1 cosine function properties
  163.    wt: 4:   15 Dot and Cross Product
  164.    wt: 4:   14 Why Scalar Multiplication Distributes Physical Argument
  165.    wt: 4:   13 Velocity Vectors in Physics
  166.    wt: 4:   10 Parallelogram Addition Method
  167.    wt: 4:   1 Unsigned Coordinates
  168.    wt: 4:   Parallel Lines and Parallel Transversals
  169.    wt: 4:   Proportionality of Line Segments From Parallel Transversals
  170.    wt: 4:   Parallel Lines and Alternating Corresponding Angles
  171.    wt: 4:   Parallel Lines and Interior Angles
  172.    wt: 4:   17 tangent function angle sum formulas
  173.    wt: 4:   14 cosine even and sine and tangent are odd
  174.    wt: 4:   11 sine and cosine double triple angle formulas
  175.    wt: 4:   11 Triangle Similarity Missing Side Problem
  176.    wt: 4:   11 Triangle Inequality
  177.    wt: 4:   11 Triangle Construction Fails
  178.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  179.    wt: 4:   Skill Development Notes
  180.    wt: 4:   10 One Example
  181.    wt: 4:   10 Set View of Wordy Extensions To Arithmetic
  182.    wt: 4:   4 Greater More Less Than Signs in General
  183.    wt: 4:   3 Comparison of Negative Numbers
  184.    wt: 4:   2 More and Less Than with Unlike Signs
  185.    wt: 4:   7 Converting or Changing Units
  186.    wt: 4:   6 Simplification of Fractions with Units
  187.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  188.    wt: 4:   4 Fractions with Units
  189.    wt: 4:   3 Multiplying Units and Numbers
  190.    wt: 4:   2 Equality and Units
  191.    wt: 4:   22 Complex Compound Fractions
  192.    wt: 4:   20 Dividing Fractions the Why
  193.    wt: 4:   16 Addition Subtraction Comparision Compared
  194.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  195.    wt: 4:   14 Adding and Subtracting with Like Denominators
  196.    wt: 4:   13 Fraction Comparison Algebraic View
  197.    wt: 4:   12 Fraction Comparison
  198.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  199.    wt: 4:   13 Subtraction with Additive Inverse
  200.    wt: 4:   12 Adding Integers More Examples
  201.    wt: 4:   10 Integer Multiplication Formulas
  202.    wt: 4:   1 Integers as Coordinates
  203.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  204.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  205.    wt: 4:   26 Divisibility by 2 3 5 Example
  206.    wt: 4:   23 Remainder Arithmetic Modulo 2
  207.    wt: 4:   22 Remainder Arithmetic Modulo 3 more
  208.    wt: 4:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  209.    wt: 4:   9 Remainder Arithmetic Divisibility by 5
  210.    wt: 4:   8 Remainder Arithmetic Morulo 5 Examples II
  211.    wt: 4:   6 Remainder Arithmetic Modulo 5 Propertie
  212.    wt: 4:   5 Remainder Arithmetic Modulo 5
  213.    wt: 4:   19 video Prime Factorization Unique
  214.    wt: 4:   18 video Count Factors given Prime Factorization
  215.    wt: 4:   17 Identify and Count Factors using Primes
  216.    wt: 4:   16 video Factors of 980 using prime
  217.    wt: 4:   15 video Factors of 20 using Prime Factorization
  218.    wt: 4:   14 video Factors of 24 Take II
  219.    wt: 4:   13 video Factors of 24 using prime
  220.    wt: 4:   12 LCD GCD and LCM using Primes
  221.    wt: 4:   10 video Prime Factorization upto 23 squared
  222.    wt: 4:   1 video how Products are bigger than factor
  223.    wt: 4:   Long Division forwards and backwards Example 2
  224.    wt: 4:   D Decimal Multiplication Methods Derived
  225.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  226.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  227.    wt: 4:   Video Power Notation in Decimal Expansion
  228.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  229.    wt: 4:   Subtraction with J Conversions Example
  230.    wt: 4:   Subtraction Another Video Lesson
  231.    wt: 4:   8 What skills and work habits to require
  232.    wt: 4:   7 Adding decimal fractions using decimal point
  233.    wt: 4:   6. Counting and adding units and mixed units
  234.    wt: 4:   5. How to add decimals C. Examples
  235.    wt: 4:   4. How to add with decimals B with conversions
  236.    wt: 4:   3. How to add with decimals A sans conversions
  237.    wt: 4:   2 Decimal Counting Practices
  238.    wt: 4:   9 Place Value Review Decimal form of Avogrados number included
  239.    wt: 4:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  240.    wt: 4:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  241.    wt: 4:   5 More on Groups of 3 Place Value in Decimal Fractions
  242.    wt: 4:   4 Groups of 3 Place Value in Decimal Fractions
  243.    wt: 4:   3 More on Groups of 3 Multi Digit Place Value
  244.    wt: 4:   2 Groups of Three Place Value for Multidigit Decimals
  245.    wt: 4:   9 Limits Continuity and Composition
  246.    wt: 4:   Chapter 1 Introduction to Chapters 2 to 6
  247.    wt: 4:   Postscript B Mathematics Education References
  248.    wt: 4:   Chapter 6 Rule Based Reason in Mathematics
  249.    wt: 4:   Chapter 2 For and Against Mathematics
  250.    wt: 4:   Chapter 21 Occurrence Tables
  251.    wt: 4:   Chapter 18 Sense and Knowledge
  252.    wt: 4:   Chapter 17 Objective Ways Trial and Error Discovery
  253.    wt: 4:   Chapter 16 Origins and Limitations of Rules and Patterns
  254.    wt: 4:   Chapter 15 Objective Processes
  255.    wt: 4:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  256.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  257.    wt: 4:   Chapter 10 Responsibility
  258.    wt: 4:   Chapter 1 Introduction
  259.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  260.    wt: 3:   3 Euclidean Geometry Leanly
  261.    wt: 3:   2 arithmetic with signed numbers
  262.    wt: 3:   why bother
  263.    wt: 3:   website reviews
  264.    wt: 3:   three goals to set for students
  265.    wt: 3:   Teach the teachers plus goals
  266.    wt: 3:   permissions for teachers
  267.    wt: 3:   links Education Resources online
  268.    wt: 3:   site origins
  269.    wt: 3:   site eurekas
  270.    wt: 3:   About site lesson plans
  271.    wt: 3:   teacher certification
  272.    wt: 3:   Education Reform Inconsistencies
  273.    wt: 3:   talk the algebra talk
  274.    wt: 3:   three difficulties
  275.    wt: 3:   teaching tips
  276.    wt: 3:   What to Tell Students
  277.    wt: 3:   geometric implications for algebra
  278.    wt: 3:   teaching tutoring algebraic reason
  279.    wt: 3:   Lessening Algebra Difficulties
  280.    wt: 3:   the trouble with algebra
  281.    wt: 3:   How to be a better instructor
  282.    wt: 3:   Motivation and Context Problem
  283.    wt: 3:   Prequel In For A Penny In For A Pound
  284.    wt: 3:   education an empirical art
  285.    wt: 3:   fairness and inductive principles for instruction
  286.    wt: 3:   chapitre 12 00 les iles et division
  287.    wt: 3:   chapitre 07 01 principle D induction mathematique
  288.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
  289.    wt: 3:   chapitre 04 01 Premiere enigme
  290.    wt: 3:   chapitre 01 00 Introduction
  291.    wt: 3:   1 Conductance Resistance Duality01
  292.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  293.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  294.    wt: 3:   18 Primary School Mathematics
  295.    wt: 3:   16 Secondary Mathematics Tips
  296.    wt: 3:   12 Goals and Objectives For Mathematics
  297.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  298.    wt: 3:   10 quadratic exercises
  299.    wt: 3:   1 Polynomials Distributive Law
  300.    wt: 3:   16 cotangent function Definition Graph and Inverse
  301.    wt: 3:   15 cosecant function Definition Graph and Inverse
  302.    wt: 3:   14 secant function Definition Graph and Inverse
  303.    wt: 3:   13 cosecant function Definition Graph and Inverse
  304.    wt: 3:   12 motivation for term arctan
  305.    wt: 3:   10 arctan left inverse of tangent Definition
  306.    wt: 3:   9 motivation for name arcsin
  307.    wt: 3:   8 arcsin left inverse of sine Graph
  308.    wt: 3:   7 arcsin left inverse of sine Definition
  309.    wt: 3:   6 Graph of arccos function
  310.    wt: 3:   5 Swapping Coordinates is a reflection
  311.    wt: 3:   4 possible motivation for term arccos
  312.    wt: 3:   3 Left Inverse of cosine arccos definition
  313.    wt: 3:   2 cosine function more properties
  314.    wt: 3:   2 Radian Measure Numerical Value of one degree
  315.    wt: 3:   1 Degrees and Radians Introduction
  316.    wt: 3:   1 graphing y=f(x a)
  317.    wt: 3:   Straight Lines ASA Intersection Study
  318.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  319.    wt: 3:   18 sum of sinusoidal waves as a single wave
  320.    wt: 3:   17G Pythagorean Theorem Converse
  321.    wt: 3:   17F Law of cosines
  322.    wt: 3:   17E Trig Formulas for dot and cross Products
  323.    wt: 3:   17D cis formulas for sine cosines and tangent
  324.    wt: 3:   17C sine and cosine double triple angle formulas
  325.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  326.    wt: 3:   17A The complex number valued trig function cis
  327.    wt: 3:   16 Right Triangle Complementary Angle Relations
  328.    wt: 3:   15 sine cosine Complementary Angle Relations
  329.    wt: 3:   13 Graph of tangent function many periods
  330.    wt: 3:   11 tangent function undefined when terminal side vertical
  331.    wt: 3:   10 Similarity of Triangles Equivalent of Two Criteria
  332.    wt: 3:   12 Links Lessons elsewhere
  333.    wt: 3:   10 Midpoint of [a b] and [b a]
  334.    wt: 3:   1 Numerical view of lines and their equations
  335.    wt: 3:   18 Triangle Similarity Take 1
  336.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  337.    wt: 3:   1 Length Measurement
  338.    wt: 3:   11 Volume of Sphere
  339.    wt: 3:   arithmetic videos Real Player Format
  340.    wt: 3:   1 Counting and Counting Methods I
  341.    wt: 3:   9 subtracting signed numbers
  342.    wt: 3:   8 multiplying signed numbers
  343.    wt: 3:   7 negative and additive inverse
  344.    wt: 3:   6 adding signed numbers
  345.    wt: 3:   5 lengths and signs of numbers
  346.    wt: 3:   4 signed coordinates for regions in space
  347.    wt: 3:   3 signed coordinates for maps and planes
  348.    wt: 3:   2 signed and unsigned numbers as coordinates
  349.    wt: 3:   9 Improper Fractions and Mixed Numbers
  350.    wt: 3:   8 Numerals Fractionals Quantals Take II
  351.    wt: 3:   7 Numerals Fractionals Quantals
  352.    wt: 3:   6 Multiplication Algebraically Take II
  353.    wt: 3:   5 Equivalent Fractions
  354.    wt: 3:   4 Fraction Multiplication
  355.    wt: 3:   3 Unit fraction of a fraction
  356.    wt: 3:   2 Unit Fraction Multiplication
  357.    wt: 3:   B Integer Long Division Multiple Choices
  358.    wt: 3:   A Associative Law Theorectical Note
  359.    wt: 3:   9 video Prime Factorization upto 19 squared
  360.    wt: 3:   8 video Prime Factorization upto 19
  361.    wt: 3:   2 Prime and Composites less than 16
  362.    wt: 3:   Long Division Backwards more
  363.    wt: 3:   Long Division Backward
  364.    wt: 3:   9 Why Long Division Works Take II
  365.    wt: 3:   8 Correcting the Mistake
  366.    wt: 3:   7 Long Divison Mistake Catching
  367.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  368.    wt: 3:   5 Long Division Include Zeroes or not
  369.    wt: 3:   4 Division with 2 Digit Divsors
  370.    wt: 3:   3 Division Single Digit Divisor Example
  371.    wt: 3:   2 Division with Single Digit Divisors
  372.    wt: 3:   C Counting Areas with Powers of Ten
  373.    wt: 3:   B Powers of Ten
  374.    wt: 3:   A Elementary Basis for Multiplication Methods
  375.    wt: 3:   6 Multiplication Commutes Order Not Important
  376.    wt: 3:   5 Decimal Fraction Multiplication
  377.    wt: 3:   4 Two and Three Digit Multipliers
  378.    wt: 3:   3 More One Digit Multipliers
  379.    wt: 3:   2 One Digit Multipliers
  380.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  381.    wt: 3:   9 22 Minute Subtraction Review Video
  382.    wt: 3:   8 Subtraction with Units of Measure
  383.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  384.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  385.    wt: 3:   5 A Tip for Efficent Subtraction
  386.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  387.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  388.    wt: 3:   2 Subtraction Easy Case Examples
  389.    wt: 3:   Exact Arithmetic Wholes and Fractions
  390.    wt: 3:   The 12 Times Table Visually
  391.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  392.    wt: 3:   011 Division of Time Intervals By Numbers
  393.    wt: 3:   Example 2 volume of a cone
  394.    wt: 3:   Example 1 volume of a pyramid
  395.    wt: 3:   Example 1. Area Between x and x squared
  396.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  397.    wt: 3:   Area Between Crossing Curves Lesson Take 1
  398.    wt: 3:   Example 2
  399.    wt: 3:   Example 1
  400.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  401.    wt: 3:   19 Chain Rule for linear functions
  402.    wt: 3:   13 sine and cosine derivatives 1st step
  403.    wt: 3:   11 Quotient rule
  404.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  405.    wt: 3:   8 Four Animated Examples
  406.    wt: 3:   7 Evaluation by immediate or delayed substitution
  407.    wt: 3:   6 Continuity at a point
  408.    wt: 3:   5 Jumps and absence of unlimited error control
  409.    wt: 3:   4 Numerical properties
  410.    wt: 3:   3 Decimal insights for limits continuity convergence
  411.    wt: 3:   2 Algebraic codification
  412.    wt: 3:   Chapter 21 Arrow Addition
  413.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  414.    wt: 3:   Chapter 18. Slopes Areas Integration
  415.    wt: 3:   Chapter 17. Area Approximation
  416.    wt: 3:   Chapter 16. Velocity Approximation
  417.    wt: 3:   Chapter 15. Slope Approximation
  418.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  419.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  420.    wt: 3:   Chapter 13. Acceleration
  421.    wt: 3:   Chapter 12. Units and Slopes
  422.    wt: 3:   Chapter 10 Slopes and Units
  423.    wt: 3:   Chapter 1.Introduction
  424.    wt: 3:   Chapter 31 Direct and Indirect Reason
  425.    wt: 3:   Chapter 26 What is in chapters 27 to 31
  426.    wt: 3:   Chapter 21. Third Reading Guide
  427.    wt: 3:   Chapter 19. Functions and Sets
  428.    wt: 3:   Chapter 18. Rules for Algebra
  429.    wt: 3:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  430.    wt: 3:   Chapter 16. Painless Theorem Proving
  431.    wt: 3:   Chapter 15. Solving Linear Equations
  432.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  433.    wt: 3:   Chapter 13. Second Reading Guide
  434.    wt: 3:   Chapter 12. Shorthand Usage Guide
  435.    wt: 3:   Chapter 10 Describing and Changing Calculations
  436.    wt: 3:   Annotated Links to Material Elsehwere
  437.    wt: 3:   Postscript A Three Remarks
  438.    wt: 3:   Chapter 9 The Two Ends
  439.    wt: 3:   Chapter 8 Modern Instruction
  440.    wt: 3:   Chapter 7 Two Treatments of Geometry
  441.    wt: 3:   Chapter 5 Four References
  442.    wt: 3:   Chapter 4 Complex Numbers and Why Slopes
  443.    wt: 3:   Chapter 3 Algebra Difficulties
  444.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  445.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  446.    wt: 3:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  447.    wt: 2:   9 combinatorics probability sets
  448.    wt: 2:   8 analytic geometry etc
  449.    wt: 2:   7 logic review and decimals an odd combination
  450.    wt: 2:   6 polynomials etc
  451.    wt: 2:   5 logarithms and exponentials etc
  452.    wt: 2:   4 algebra
  453.    wt: 2:   What is POMME
  454.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  455.    wt: 2:   chapitre 06 00 Chaines de la raison
  456.    wt: 2:   chapitre 05 00 Deception
  457.    wt: 2:   chapitre 04 09 Regles accidentelles
  458.    wt: 2:   chapitre 04 08 Limitations et benefices
  459.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  460.    wt: 2:   chapitre 04 06 engagements
  461.    wt: 2:   chapitre 04 05 Implication versus suggestion
  462.    wt: 2:   chapitre 04 04 Parlons de la logique
  463.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  464.    wt: 2:   chapitre 04 02 Deuxieme enigme
  465.    wt: 2:   chapitre 04 00 Les regles d implication
  466.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  467.    wt: 2:   chapitre 02 00 La Communication des idees
  468.    wt: 2:   problemes responses
  469.    wt: 2:   A Energy Power01
  470.    wt: 2:   C Wire Resistance Calculation01
  471.    wt: 2:   A Wire Resistance Qualitative01
  472.    wt: 2:   2 Unlike resistors in parallel01
  473.    wt: 2:   1 Like resistors in series
  474.    wt: 2:   17 Math Booklets for children and young teenagers
  475.    wt: 2:   15 Counting For Parents
  476.    wt: 2:   14 Multiplication and Times Tables
  477.    wt: 2:   13 Addition and Addition Tables
  478.    wt: 2:   10 Ends values for work study instruction
  479.    wt: 2:   1 Speaking Skills
  480.    wt: 2:   Ages 9 to 10
  481.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  482.    wt: 2:   sign monoticity analysis example 1
  483.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  484.    wt: 2:   19 Horizontal line rule and method
  485.    wt: 2:   18 Vertical Line Rule and Method
  486.    wt: 2:   17 Function maxima minima and their location
  487.    wt: 2:   16 Increasing or decreasing on intervals
  488.    wt: 2:   15 Sign analysis of functions
  489.    wt: 2:   14 Surjections Injections Bijections
  490.    wt: 2:   13 From one to one to many to one
  491.    wt: 2:   12 Function Domain Recognition Exercises
  492.    wt: 2:   10 Interval Notation
  493.    wt: 2:   1 Geometric Introduction of Function Notation
  494.    wt: 2:   1 quadratics graphing exercises
  495.    wt: 2:   10 Exponential Growth and Decay Models
  496.    wt: 2:   1 Calculator Starter Exercises
  497.    wt: 2:   8 Notes for instructors or tutors
  498.    wt: 2:   7 Links Lessons Elsewhere
  499.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  500.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  501.    wt: 2:   4 Polynomials Long division linear divisor
  502.    wt: 2:   3 Polynomials Multiplication Addition
  503.    wt: 2:   2 Column Multiplication Method
  504.    wt: 2:   9 Summary Degrees to Radians and back
  505.    wt: 2:   8 Radian Measures of Common Angles
  506.    wt: 2:   7 Radian Measures in special Triangles
  507.    wt: 2:   6 Radian Measure to Degrees
  508.    wt: 2:   5 Degrees to Radian Measure
  509.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  510.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  511.    wt: 2:   A Global Time and Navigation
  512.    wt: 2:   9 Head to Tail Coordinate View
  513.    wt: 2:   8 Parallel Vectors
  514.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  515.    wt: 2:   6 Vectors with Coordinates
  516.    wt: 2:   5 Head To Tail Arrow Addition
  517.    wt: 2:   4 Resultant of a Sum of Movements
  518.    wt: 2:   3 Navigation with Arrows or Vectors
  519.    wt: 2:   2 Signed Coordinates
  520.    wt: 2:   Vector and Complex Number Applet
  521.    wt: 2:   4 graphing y=Asin(x c)
  522.    wt: 2:   3 graphing y=f(x c) plus K
  523.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  524.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  525.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  526.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  527.    wt: 2:   Straight Lines ASA Intersection Study More
  528.    wt: 2:   Straight Lines Instersection Solving Equations
  529.    wt: 2:   Straight Lines Intersection of
  530.    wt: 2:   11 Straight Lines Graphing y=mx
  531.    wt: 2:   10 Straight Lines through Origin Equations More
  532.    wt: 2:   1 Straight Lines Slope Concept
  533.    wt: 2:   32 seven rows of pascals triangle
  534.    wt: 2:   31 basic secant cosecant cotangent trig identities
  535.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  536.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  537.    wt: 2:   21 sine and cosine Half Angle Formulas
  538.    wt: 2:   20 sine and cosine Double Angle Formulas
  539.    wt: 2:   12 Graph of tangent function for one period
  540.    wt: 2:   10 Graphs of sines and cosines many periods
  541.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  542.    wt: 2:   21 Logarithms Powers and Exponentials
  543.    wt: 2:   19 N th Roots of Unity
  544.    wt: 2:   18 Sixth Roots of Unity
  545.    wt: 2:   17 Cube Roots of unity
  546.    wt: 2:   16 References and Originality Question
  547.    wt: 2:   15 Pythagorean Theorem Converse
  548.    wt: 2:   14 Law of cosines
  549.    wt: 2:   13 Trig Formulas for dot and cross Products
  550.    wt: 2:   12 cis formulas for sine cosines and tangent
  551.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  552.    wt: 2:   1 Rectangular Polar Coordinates Review
  553.    wt: 2:   1 Angle Measurement with Degrees
  554.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  555.    wt: 2:   12 Triangles Similarity More Problems
  556.    wt: 2:   3 Similarity by Design with coordinates
  557.    wt: 2:   1 Early Concept of Like or Similar Shapes
  558.    wt: 2:   Four Simple Exercises
  559.    wt: 2:   13 Pythagorean spatial distance formulas
  560.    wt: 2:   12 Spatial Coordinates
  561.    wt: 2:   10 Pythagorean plane distance formula
  562.    wt: 2:   1 Cartesian Coordinates sans signs
  563.    wt: 2:   21 Parallelograms
  564.    wt: 2:   19 Right Triangle Similarity
  565.    wt: 2:   17 Right Bisectors of Triangle Sides
  566.    wt: 2:   16 Angles Subtended By Chords and Diameters
  567.    wt: 2:   14 Parallel Lines Postulate
  568.    wt: 2:   13 Angle Side Angle Failure
  569.    wt: 2:   12 Side Angle Side Failure
  570.    wt: 2:   10 Dropping a perpendicular to line
  571.    wt: 2:   1 Initial Concepts and Terms
  572.    wt: 2:   A Measurement with Ruler Proper Use
  573.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  574.    wt: 2:   6 Figuring with Maps Not to Scale
  575.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  576.    wt: 2:   4 Angles on Maps Plans drawn to scale
  577.    wt: 2:   3 Lengths and Areas on Maps and Plans
  578.    wt: 2:   2 Measuring Area Directly
  579.    wt: 2:   A Modular and Remainder Arithmetic
  580.    wt: 2:   11 Signed Number Addition and Addition Properties
  581.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  582.    wt: 2:   1 Fractions with Finite Decimal Expansions
  583.    wt: 2:   1 The Counting Origins of Numbers
  584.    wt: 2:   5 Areas of Rectangles Revisited
  585.    wt: 2:   4 Fraction Operations Axiomatic Development
  586.    wt: 2:   3 Inequalities Algebraically
  587.    wt: 2:   2 Fraction Operations Physical Development
  588.    wt: 2:   1 What is Proportionality
  589.    wt: 2:   11 Real Number Addition
  590.    wt: 2:   1 Formulas Dependence and Function Notation
  591.    wt: 2:   1 GE Substitution four examples
  592.    wt: 2:   1 Essentially One Unknown
  593.    wt: 2:   1 Proper Equal Sign Usage
  594.    wt: 2:   9 Three Examples
  595.    wt: 2:   8 One Example
  596.    wt: 2:   7 Two Examples
  597.    wt: 2:   6 Three Examples
  598.    wt: 2:   5 Three Examples
  599.    wt: 2:   4 Two Examples
  600.    wt: 2:   3 Two Examples
  601.    wt: 2:   2 Three Examples
  602.    wt: 2:   13 Naming Identifying Formulas with Words
  603.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  604.    wt: 2:   10 Volume of Pyramid
  605.    wt: 2:   1 Finite Sets
  606.    wt: 2:   3 Adding Words To Arithmetic
  607.    wt: 2:   1 Three Skills For Algebra
  608.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  609.    wt: 2:   4 Counting with Trees Product Rule Take I
  610.    wt: 2:   3 Counting with Tables and Trees II
  611.    wt: 2:   2 Counting with Tables and Trees I
  612.    wt: 2:   D Three Term Ratios
  613.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  614.    wt: 2:   B Fractions and Two Term Ratios
  615.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  616.    wt: 2:   9 Multiplying Integers
  617.    wt: 2:   8 Multiplication by Signed Numbers Integers
  618.    wt: 2:   7 Multiplication by Signs
  619.    wt: 2:   6 Multiplication by Natural Numbers
  620.    wt: 2:   5 Zero Movement and Additive Inverses
  621.    wt: 2:   4 Adding Movements wiht opposite directions
  622.    wt: 2:   3 Adding Movements with same direction
  623.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  624.    wt: 2:   20 Uniqueness of Prime Factorization
  625.    wt: 2:   7 Calculator Usage Notes and Cautions
  626.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  627.    wt: 2:   5 Prime Factorization and a Square Rule
  628.    wt: 2:   4 video Prime Factorization Introduction
  629.    wt: 2:   3 video Primes and Composites from 9 times table
  630.    wt: 2:   Quick history of numbers and algebra
  631.    wt: 2:   Formula Evaluation how to show work
  632.    wt: 2:   Expression Evaluation how to show work
  633.    wt: 2:   The 20 Times Table
  634.    wt: 2:   About folder contents
  635.    wt: 2:   016 Numbering Occidental Calendar Days
  636.    wt: 2:   015 School and work day counting tables
  637.    wt: 2:   014 Counting Days with Calendars
  638.    wt: 2:   013 Travel Time Tables
  639.    wt: 2:   012 Division of Time Intervals by Time Intervals
  640.    wt: 2:   010 Repeated Addition of Time Intervals
  641.    wt: 2:   Volume of Solid by Cross Sections Lesson
  642.    wt: 2:   Example 4 with x function of y
  643.    wt: 2:   Example 3
  644.    wt: 2:   Summary
  645.    wt: 2:   A Related Material in Volume 3
  646.    wt: 2:   1 Chain Rule in Reverse Integration Method
  647.    wt: 2:   38 Formulas and derivatives for powers and roots
  648.    wt: 2:   31 Derivatives of inverse functions
  649.    wt: 2:   29 Chain Rule Optional Reading
  650.    wt: 2:   21 Chain Rule for powers
  651.    wt: 2:   20 Chain Rule for Pulley Systems
  652.    wt: 2:   18 Chain Rule Introduction
  653.    wt: 2:   17 Derivatives of quotients of sine and cosine
  654.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  655.    wt: 2:   15 sine and cosine derivatives 3rd step
  656.    wt: 2:   14 sine and cosine derivatives 2nd step
  657.    wt: 2:   12 Quotient rule examples
  658.    wt: 2:   10 Power rule for negative integers
  659.    wt: 2:   3 Motivation for Limit Definition Take 2
  660.    wt: 2:   2 Motivation for Limit Definition Take 1
  661.    wt: 2:   .H1 First Fundamental Theorem of Calculus
  662.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  663.    wt: 2:   F.3 Intermediate Value Theorem
  664.    wt: 2:   A1. Introduction
  665.    wt: 2:   Solutions For Arithmetic Exercises
  666.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  667.    wt: 2:   Foreword
  668.    wt: 2:   Chapter 24 Direct and Indirect Reason
  669.    wt: 2:   Chapter 23 Truth Tables
  670.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  671.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  672.    wt: 2:   Chapter 8 Change of Language
  673.    wt: 2:   Chapter 7 Longer Chains of Reason
  674.    wt: 2:   Chapter 6 Chains of Reason
  675.    wt: 2:   Chapter 5 Deception
  676.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  677.    wt: 2:   Chapter 2 Skill Development
  678.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  679.    wt: 2:   R Why Learn Mathematics Skills
  680.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  681.    wt: 2:   O On Learning Mathematics and Science
  682.    wt: 2:   N Mathematics Prepare for College Studies
  683.    wt: 2:   M Words to extend arithmetic
  684.    wt: 2:   N Improving Marks on Tests and Finals
  685.    wt: 2:   Helping the Blind in Logic and Mathematics
  686.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  687.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  688.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  689.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  690.    wt: 1:   problemes algebre et arithmetique
  691.    wt: 1:   1 Energy Power Heat06
  692.    wt: 1:   F Wire Resistance Calculation04
  693.    wt: 1:   E Wire Resistance Calculation03
  694.    wt: 1:   D Wire Resistance Calculation02
  695.    wt: 1:   B Wire Resistance Qualitative02
  696.    wt: 1:   3 Like resistors in parallel
  697.    wt: 1:   G Series Circuit01
  698.    wt: 1:   B Electromotive force conventional current01
  699.    wt: 1:   A Circuit Elements
  700.    wt: 1:   Home Tutoring and Home Schooling
  701.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  702.    wt: 1:   22 Student Centered Highschool Mathematics
  703.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  704.    wt: 1:   Ages 8 to 9
  705.    wt: 1:   Ages 7 to 8
  706.    wt: 1:   Ages 6 to 7
  707.    wt: 1:   Ages 4 plus to 5 plus
  708.    wt: 1:   Ages 3 plus to 4 plus
  709.    wt: 1:   4 Function notation in and beyond mathematics
  710.    wt: 1:   9 quadratics physical and further context
  711.    wt: 1:   8 quadratics backward use of various formulas
  712.    wt: 1:   7 quadratic formulla derivation
  713.    wt: 1:   6 quadratics numerical approach
  714.    wt: 1:   5 quadratics completing the square
  715.    wt: 1:   4 quadratics difference of two squares
  716.    wt: 1:   3 quadratics factoring by inspection
  717.    wt: 1:   2 quadratics graphing in general
  718.    wt: 1:   Quadratics in 10 steps
  719.    wt: 1:   14 Straight Lines Equations General Case
  720.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  721.    wt: 1:   12 Straight Lines Graphing mx plus b
  722.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  723.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  724.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  725.    wt: 1:   30 unit circle calculation of six trigonometric functions
  726.    wt: 1:   29 secant cosecant and cotangent for acute angles
  727.    wt: 1:   28 Expressing products of sines cosines as sums
  728.    wt: 1:   27 Logarithmic use of products of sines and cosines
  729.    wt: 1:   26 Formulas for products of sines and cosines
  730.    wt: 1:   25 tangent double angle formula Slope connection
  731.    wt: 1:   24 tangent Angle Difference Formula
  732.    wt: 1:   9 Graphs of sine and cosine over one period
  733.    wt: 1:   8 period of tangent function
  734.    wt: 1:   7 period of sine and cosine
  735.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  736.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  737.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  738.    wt: 1:   1 Unit Points Reflections Rotations
  739.    wt: 1:   8 Similarity of Triangles and Polygons
  740.    wt: 1:   7 Translations Rotations Reflections Dilatations
  741.    wt: 1:   6 Geometric Diagrams in Class
  742.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  743.    wt: 1:   4 Similarity Definition with Coordinate
  744.    wt: 1:   2 Similarity By Design
  745.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  746.    wt: 1:   8 Mid Point Formula
  747.    wt: 1:   7 Exercises to test skill and concept mastery
  748.    wt: 1:   6 Intersection of lines by solving linear systems
  749.    wt: 1:   5 Algebraic View of Slopes
  750.    wt: 1:   4 Equations for lines three forms
  751.    wt: 1:   3 Slope product for perpendicular lines
  752.    wt: 1:   2 point slope equation for a line
  753.    wt: 1:   What is and is not here
  754.    wt: 1:   PS A Kite Construction Methods
  755.    wt: 1:   A Signed Number Arithmetic Review
  756.    wt: 1:   21 Addition of Multiples of a Single Vector
  757.    wt: 1:   19 Signed Multiples of Vectors
  758.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  759.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  760.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  761.    wt: 1:   15 Head to Tails in place Addition Associative
  762.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  763.    wt: 1:   13 Arrows and Vectors in a Plane
  764.    wt: 1:   12 Real Numbers Line Signed Coordinates
  765.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  766.    wt: 1:   9 Division with Digits after Decimal Point
  767.    wt: 1:   8 Division and Mulplication of Compound Fractions
  768.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  769.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  770.    wt: 1:   4 Location of Point in Decimal Addition
  771.    wt: 1:   3 Location of Point in Decimal Multiplication
  772.    wt: 1:   2 Counting Digits in Decimal Multiplication
  773.    wt: 1:   1 Changing Calculations
  774.    wt: 1:   1 Equivalent Computation Rules
  775.    wt: 1:   1 Real Numbers Comparison
  776.    wt: 1:   16 Real Numbers Comparison
  777.    wt: 1:   15 Real Number Division
  778.    wt: 1:   14 Real Number Multiplication
  779.    wt: 1:   13 Real Number Subtraction
  780.    wt: 1:   12 Real Number Additive Inverses or Negatives
  781.    wt: 1:   10 Real Number Lengths and Signs
  782.    wt: 1:   9 Coordinates for Regions in Space
  783.    wt: 1:   8 Coordinates for Maps and Planes
  784.    wt: 1:   7 Real Numbers as Line Cordinates
  785.    wt: 1:   6 Unsigned Real Numbers
  786.    wt: 1:   1 Whole and Natural Numbers
  787.    wt: 1:   5 Independent versus Dependent Variables
  788.    wt: 1:   4 Changing Letters
  789.    wt: 1:   3 Geometric Formulas and Function Notation
  790.    wt: 1:   2 Computation Rules Evaluation
  791.    wt: 1:   Using Letters for Physical Quantities
  792.    wt: 1:   1 Written work formats for developing and showing skill
  793.    wt: 1:   9 Sets in Probability and Statistics
  794.    wt: 1:   8 Sets of Numbers
  795.    wt: 1:   7 Cautious or Safe Set Construction
  796.    wt: 1:   6 Power Set Notation
  797.    wt: 1:   5 Product Builder Notation
  798.    wt: 1:   4 Subset Builder Notation
  799.    wt: 1:   3 Counting with Sets etc
  800.    wt: 1:   2 Venn Diagrams
  801.    wt: 1:   6 Three Notions of What is a Variable
  802.    wt: 1:   5 Talking about Numbers and Quantities
  803.    wt: 1:   4 A Brief Story of numbers and algebra
  804.    wt: 1:   2 What is a Variable
  805.    wt: 1:   5 Conversion Arithmetic
  806.    wt: 1:   1 Intro of Kids To Time Date Skills
  807.    wt: 1:   5 Area Under Curve Exercise
  808.    wt: 1:   4 Definite Integrals Evaluation Exercises
  809.    wt: 1:   3 Two Chain Rule Method Exercises
  810.    wt: 1:   2 Indefinite Integrals Exercises
  811.    wt: 1:   A Related lessons in Volume 3
  812.    wt: 1:   4 Second derivative test exercise example
  813.    wt: 1:   3 Second derivative test
  814.    wt: 1:   2 Second derivative test prequel
  815.    wt: 1:   A Chain Rule Real Player video examples
  816.    wt: 1:   36 Cube root derivative animated
  817.    wt: 1:   34 Derivative of exponential function
  818.    wt: 1:   33 Chain Rule Real Player video examples
  819.    wt: 1:   30Chain Rule A Proof
  820.    wt: 1:   28 Chain Rule Preparation for a Proof
  821.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  822.    wt: 1:   26 Chain Rule Recognising outer inner functions
  823.    wt: 1:   25 Chain Rule Animated Examples Continued
  824.    wt: 1:   24 Chain Rule Animated Examples
  825.    wt: 1:   23 Chain Rule in general
  826.    wt: 1:   22 Chain Rule for polynomials
  827.    wt: 1:   9 Reciprocal rule
  828.    wt: 1:   8 Differentiation of polynomials
  829.    wt: 1:   7 Animated Differentiation Examples
  830.    wt: 1:   6 Power rule from product rule
  831.    wt: 1:   5 Product Rule
  832.    wt: 1:   4 Sum Rule
  833.    wt: 1:   G.5 Motions With Bounded Velocities
  834.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  835.    wt: 1:   G.3 Constant Difference Theorem Proof
  836.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  837.    wt: 1:   F.5b Extreme Value Theorem
  838.    wt: 1:   F.5a Equicontinuity Theorems
  839.    wt: 1:   F.4 Finite Covering Theorem
  840.    wt: 1:   F.2 Closed Range Theorem
  841.    wt: 1:   F.1 What Functions are Continuous
  842.    wt: 1:   E1 Error Control Inequalities
  843.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  844.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  845.    wt: 1:   PostScript For and Against Decimal Perspectives
  846.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  847.    wt: 1:   Chapter 23 Links To Trigonometry
  848.    wt: 1:   Chapter 22 Complex Numbers
  849.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  850.    wt: 1:   Chapter 9 About First Courses in Calculus
  851.    wt: 1:   Chapter 8. Slope Interpretation
  852.    wt: 1:   Chapter 7 Slopes and Velocity
  853.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  854.    wt: 1:   Chapter 5. Slope Sign Tests
  855.    wt: 1:   Chapter 4. More Slope Sign Analysis
  856.    wt: 1:   Chapter 3. Slope Sign Analysis
  857.    wt: 1:   Chapter 2. Slopes and Ski Trails
  858.    wt: 1:   Fall 1983 Calculus Appetizer
  859.    wt: 1:   Foreword
  860.    wt: 1:   Appendix E. How To Study Mathematics and Why
  861.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  862.    wt: 1:   Chapter 30 Truth Tables
  863.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  864.    wt: 1:   Chapter 28 Occurrence Tables
  865.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  866.    wt: 1:   Chapter 25. Mathematical Induction Examples
  867.    wt: 1:   Chapter 25. Mathematical Induction Examples
  868.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  869.    wt: 1:   Chapter 23. Notation For Sums
  870.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  871.    wt: 1:   Chapter 20. Degrees and Radians
  872.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  873.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  874.    wt: 1:   Chapter 8 Three Skills For Algebra
  875.    wt: 1:   Chapter 6 Change of Language
  876.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  877.    wt: 1:   Chapter 4 Longer Chains of Reason
  878.    wt: 1:   Chapter 3 Chains of Reason
  879.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  880.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  881.    wt: 1:   Postscript C Consistency as a Tool for Reason
  882.    wt: 1:   Postscript B More on Story Telling and Reason
  883.    wt: 1:   Postscript A Story Telling
  884.    wt: 1:   Three Remarks
  885.    wt: 1:   Foreword
  886.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  887.    wt: 1:   S Adding words to algebra
  888.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  889.    wt: 1:   L Skills with take home value
  890.    wt: 1:   J. More on written work and showing skill
  891.    wt: 1:   A. Skill has to be seen to believed
  892.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  893.    wt: 1:   Implementation Notes
  894.    wt: 1:   More Algebra and Slope based Calculus Preview
  895.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  896.    wt: 1:   Systematic Algebra Skill Development Missing Links
  897.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  898.    wt: 1:   Which Way To Go
  899.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  900.    wt: 11:   Skills Chapter 1 Arithmetic
  901.    wt: 10:   14 GCD of 650 110 via Primes LCM via Product Rule
  902.    wt: 10:   10 Euclid Algorithm with 129 125 and with 45 14

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