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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30 matches:

  1.    wt: 3:   Direct Current Electric Circuits/
  2.    wt: 3:   10 Intersecting Straight Lines and Transversals/
  3.    wt: 3:   A Origins of Counting and Figuring Methods/
  4.    wt: 3:   Step 4 Gaussian Elimination/
  5.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  6.    wt: 2:   12 Function Translating and Rescaling/
  7.    wt: 2:   11 Parallel Straight Lines and Transversals/
  8.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  9.    wt: 2:   Step 1 Stick diagram and fractions/
  10.    wt: 2:   3 Solving Linear Equations/
  11.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  12.    wt: 2:   A Decimal Counting and Adding Methods/
  13.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  14.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  15.    wt: 1:   4 Lines and Slopes Take 1/
  16.    wt: 1:   3 Cartesian and Polar Coordinates/
  17.    wt: 1:   B Real Numbers Extrinsic Development/
  18.    wt: 1:   10 Examples of Algebraic Reasoning/
  19.    wt: 1:   8 Unifying Theme For Algebra/
  20.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  21.    wt: 1:   1 Working With Sets/
  22.    wt: 1:   9 Combinatorics Trees Tables and Products/
  23.    wt: 1:   5 Integers/
  24.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  25.    wt: 1:   5 Lessons on Integration/
  26.    wt: 1:   4 Lessons on Using Derivatives/
  27.    wt: 1:   38 Lessons on Calculating Derivatives/
  28.    wt: 1:   13 Lessons on Limits and Continuity/
  29.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  30.    wt: 1:   Resources and Reciprocal Links/

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485 matches:

  1.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  2.    wt: 4:   3 Like resistors in parallel
  3.    wt: 4:   2 Unlike resistors in parallel01
  4.    wt: 4:   16 Increasing or decreasing on intervals
  5.    wt: 4:   7 arcsin left inverse of sine Definition
  6.    wt: 4:   Parallel Lines and Alternating Corresponding Angles
  7.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  8.    wt: 4:   6 Intersection of lines by solving linear systems
  9.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  10.    wt: 4:   14 Adding and Subtracting with Like Denominators
  11.    wt: 3:   J LAMP Introduction Extrinsic Origins
  12.    wt: 3:   Different Kinds of Reasoning in maths
  13.    wt: 3:   fairness and inductive principles for instruction
  14.    wt: 3:   1 Like resistors in series
  15.    wt: 3:   F Unlike Resistors in Series
  16.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  17.    wt: 3:   20 Interchanging coordinates a reflection
  18.    wt: 3:   8 arcsin left inverse of sine Graph
  19.    wt: 3:   3 Left Inverse of cosine arccos definition
  20.    wt: 3:   Parallel Lines and Parallel Transversals
  21.    wt: 3:   Parallel Lines and Interior Angles
  22.    wt: 3:   Straight Lines Instersection Solving Equations
  23.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  24.    wt: 3:   28 Expressing products of sines cosines as sums
  25.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  26.    wt: 3:   7 Adding decimal fractions using decimal point
  27.    wt: 3:   2 Indefinite Integrals Exercises
  28.    wt: 3:   1 Chain Rule in Reverse Integration Method
  29.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  30.    wt: 3:   26 Chain Rule Recognising outer inner functions
  31.    wt: 3:   H more Routine to non routine problem solving
  32.    wt: 3:   Helping the Blind in Logic and Mathematics
  33.    wt: 2:   H LAMP Introduction Instructional Concepts
  34.    wt: 2:   G LAMP Introduction Problem Solving Skills
  35.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  36.    wt: 2:   Ramblings Extrinsic numbers theory
  37.    wt: 2:   Ramblings Introduction Algebra Essay
  38.    wt: 2:   links Education Resources online
  39.    wt: 2:   grouping students according to ability
  40.    wt: 2:   teaching tutoring algebraic reason
  41.    wt: 2:   mathematics instruction in general
  42.    wt: 2:   three kinds of reason in mathematics
  43.    wt: 2:   cultivating intelligence
  44.    wt: 2:   Prequel In For A Penny In For A Pound
  45.    wt: 2:   chapitre 07 01 principle D induction mathematique
  46.    wt: 2:   Home Tutoring and Home Schooling
  47.    wt: 2:   2 Reading and Writing Skills
  48.    wt: 2:   26 Function definitions done and coming
  49.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  50.    wt: 2:   7 Functions with finite domains
  51.    wt: 2:   Introduction Reading Guide
  52.    wt: 2:   3 quadratics factoring by inspection
  53.    wt: 2:   2 quadratics graphing in general
  54.    wt: 2:   16 cotangent function Definition Graph and Inverse
  55.    wt: 2:   15 cosecant function Definition Graph and Inverse
  56.    wt: 2:   14 secant function Definition Graph and Inverse
  57.    wt: 2:   13 cosecant function Definition Graph and Inverse
  58.    wt: 2:   10 arctan left inverse of tangent Definition
  59.    wt: 2:   5 Swapping Coordinates is a reflection
  60.    wt: 2:   4 graphing y=Asin(x c)
  61.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  62.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  63.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  64.    wt: 2:   Straight Lines ASA Intersection Study More
  65.    wt: 2:   Straight Lines ASA Intersection Study
  66.    wt: 2:   Straight Lines Intersection of
  67.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  68.    wt: 2:   C Straight Lines Slope from Coordinates
  69.    wt: 2:   B Straight Line Slope Scaling Properties More
  70.    wt: 2:   A Straight Line Slope Scaling Properties
  71.    wt: 2:   12 Straight Lines Graphing mx plus b
  72.    wt: 2:   11 Straight Lines Graphing y=mx
  73.    wt: 2:   10 Straight Lines through Origin Equations More
  74.    wt: 2:   9 Straight Lines through Origin Equations
  75.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  76.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  77.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  78.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  79.    wt: 2:   27 Logarithmic use of products of sines and cosines
  80.    wt: 2:   26 Formulas for products of sines and cosines
  81.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  82.    wt: 2:   21 sine and cosine Half Angle Formulas
  83.    wt: 2:   20 sine and cosine Double Angle Formulas
  84.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  85.    wt: 2:   18 sum of sinusoidal waves as a single wave
  86.    wt: 2:   17D cis formulas for sine cosines and tangent
  87.    wt: 2:   17C sine and cosine double triple angle formulas
  88.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  89.    wt: 2:   15 sine cosine Complementary Angle Relations
  90.    wt: 2:   14 cosine even and sine and tangent are odd
  91.    wt: 2:   11 tangent function undefined when terminal side vertical
  92.    wt: 2:   10 Graphs of sines and cosines many periods
  93.    wt: 2:   9 Graphs of sine and cosine over one period
  94.    wt: 2:   7 period of sine and cosine
  95.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  96.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  97.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  98.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  99.    wt: 2:   12 cis formulas for sine cosines and tangent
  100.    wt: 2:   11 sine and cosine double triple angle formulas
  101.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  102.    wt: 2:   3 Trigonometric Ratios sine and cosine
  103.    wt: 2:   4 Similarity Definition with Coordinate
  104.    wt: 2:   2 point slope equation for a line
  105.    wt: 2:   8 Distance Between Points on a Line
  106.    wt: 2:   14 Parallel Lines Postulate
  107.    wt: 2:   10 Dropping a perpendicular to line
  108.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  109.    wt: 2:   12 Real Numbers Line Signed Coordinates
  110.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  111.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  112.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  113.    wt: 2:   4 Location of Point in Decimal Addition
  114.    wt: 2:   3 Location of Point in Decimal Multiplication
  115.    wt: 2:   2 Counting Digits in Decimal Multiplication
  116.    wt: 2:   3 Multiplicative Counting Skills Principles
  117.    wt: 2:   2 Combing Counts Addition Skills and Principles
  118.    wt: 2:   1 The Counting Origins of Numbers
  119.    wt: 2:   9 Coordinates for Regions in Space
  120.    wt: 2:   7 Real Numbers as Line Cordinates
  121.    wt: 2:   13 Naming Identifying Formulas with Words
  122.    wt: 2:   7 Compound Interest Formula Introduction
  123.    wt: 2:   1 Written work formats for developing and showing skill
  124.    wt: 2:   1 Counting and Counting Methods I
  125.    wt: 2:   4 signed coordinates for regions in space
  126.    wt: 2:   7 Converting or Changing Units
  127.    wt: 2:   12 Adding Integers More Examples
  128.    wt: 2:   11 Adding Integers Formulas and Examples
  129.    wt: 2:   9 Multiplying Integers
  130.    wt: 2:   1 Integers as Coordinates
  131.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  132.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  133.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  134.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  135.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  136.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  137.    wt: 2:   6. Counting and adding units and mixed units
  138.    wt: 2:   1. Explaining Addition Table
  139.    wt: 2:   012 Division of Time Intervals by Time Intervals
  140.    wt: 2:   8 Addition of Time Intervals via subtotaling
  141.    wt: 2:   4 Mixing and Changing Units of Time
  142.    wt: 2:   4 Definite Integrals Evaluation Exercises
  143.    wt: 2:   29 Chain Rule Optional Reading
  144.    wt: 2:   25 Chain Rule Animated Examples Continued
  145.    wt: 2:   23 Chain Rule in general
  146.    wt: 2:   19 Chain Rule for linear functions
  147.    wt: 2:   18 Chain Rule Introduction
  148.    wt: 2:   17 Derivatives of quotients of sine and cosine
  149.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  150.    wt: 2:   15 sine and cosine derivatives 3rd step
  151.    wt: 2:   14 sine and cosine derivatives 2nd step
  152.    wt: 2:   13 sine and cosine derivatives 1st step
  153.    wt: 2:   11 Limits at infinity Three Examples
  154.    wt: 2:   10 Three one sided limits with infinite values
  155.    wt: 2:   6 Continuity at a point
  156.    wt: 2:   3 Decimal insights for limits continuity convergence
  157.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  158.    wt: 2:   F.4 Finite Covering Theorem
  159.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  160.    wt: 2:   Chapter 16. Painless Theorem Proving
  161.    wt: 2:   Chapter 15. Solving Linear Equations
  162.    wt: 2:   Chapter 10 Describing and Changing Calculations
  163.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  164.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  165.    wt: 2:   N Improving Marks on Tests and Finals
  166.    wt: 2:   G. Written work formats for developing and showing skill
  167.    wt: 2:   C. Domino effect of being careful
  168.    wt: 2:   Systematic Algebra Skill Development Missing Links
  169.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  170.    wt: 1:   K LAMP Musings Science Education
  171.    wt: 1:   I LAMP Introduction Study Habits
  172.    wt: 1:   F LAMP Introduction Prerequisites
  173.    wt: 1:   E LAMP Introduction Modern Mathematics
  174.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  175.    wt: 1:   A Introduction Objectives
  176.    wt: 1:   Skills Chapter 0 Introduction
  177.    wt: 1:   9 combinatorics probability sets
  178.    wt: 1:   7 logic review and decimals an odd combination
  179.    wt: 1:   site origins
  180.    wt: 1:   learning takes time
  181.    wt: 1:   mathematics in context
  182.    wt: 1:   Education Reform Inconsistencies
  183.    wt: 1:   Maps Plans Drawings
  184.    wt: 1:   teaching tips
  185.    wt: 1:   Lessening Algebra Difficulties
  186.    wt: 1:   Operational Viewpoint to Value
  187.    wt: 1:   formal or informal peer review
  188.    wt: 1:   Education in mathematics science and technology
  189.    wt: 1:   How to be a better instructor
  190.    wt: 1:   words for mathematics instructor
  191.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  192.    wt: 1:   chapitre 06 00 Chaines de la raison
  193.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  194.    wt: 1:   chapitre 01 00 Introduction
  195.    wt: 1:   deux definitions pour variable
  196.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  197.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  198.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  199.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  200.    wt: 1:   15 Counting For Parents
  201.    wt: 1:   10 Ends values for work study instruction
  202.    wt: 1:   9 Streaming by Student Cooperation
  203.    wt: 1:   4 Learning Takes Time and Effort
  204.    wt: 1:   3 Preparing for Science Studies
  205.    wt: 1:   1 Speaking Skills
  206.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  207.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  208.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  209.    wt: 1:   23 Inverse Functions
  210.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  211.    wt: 1:   19 Horizontal line rule and method
  212.    wt: 1:   18 Vertical Line Rule and Method
  213.    wt: 1:   17 Function maxima minima and their location
  214.    wt: 1:   14 Surjections Injections Bijections
  215.    wt: 1:   12 Function Domain Recognition Exercises
  216.    wt: 1:   11 Function Domain Range Source and Targets
  217.    wt: 1:   10 Interval Notation
  218.    wt: 1:   9 Set theory term relation possible origins
  219.    wt: 1:   4 Function notation in and beyond mathematics
  220.    wt: 1:   3 Formula or function graphing exercise
  221.    wt: 1:   1 Geometric Introduction of Function Notation
  222.    wt: 1:   5 quadratics completing the square
  223.    wt: 1:   1 quadratics graphing exercises
  224.    wt: 1:   Quadratics in 10 steps
  225.    wt: 1:   11 Growth and Decay in Biology
  226.    wt: 1:   8 Notes for instructors or tutors
  227.    wt: 1:   7 Links Lessons Elsewhere
  228.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  229.    wt: 1:   4 Polynomials Long division linear divisor
  230.    wt: 1:   Rewriting algebraic substitution as function substitutions
  231.    wt: 1:   11 arctan left inverse of tangent Graph
  232.    wt: 1:   9 motivation for name arcsin
  233.    wt: 1:   2 cosine function more properties
  234.    wt: 1:   1 cosine function properties
  235.    wt: 1:   7 Radian Measures in special Triangles
  236.    wt: 1:   1 Degrees and Radians Introduction
  237.    wt: 1:   13 Velocity Vectors in Physics
  238.    wt: 1:   10 Parallelogram Addition Method
  239.    wt: 1:   9 Head to Tail Coordinate View
  240.    wt: 1:   8 Parallel Vectors
  241.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  242.    wt: 1:   6 Vectors with Coordinates
  243.    wt: 1:   2 Signed Coordinates
  244.    wt: 1:   1 Unsigned Coordinates
  245.    wt: 1:   3 graphing y=f(x c) plus K
  246.    wt: 1:   1 graphing y=f(x a)
  247.    wt: 1:   14 Straight Lines Equations General Case
  248.    wt: 1:   8 Straight Lines Equation for vertical
  249.    wt: 1:   7 Tangent Function is odd on this domain
  250.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  251.    wt: 1:   1 Straight Lines Slope Concept
  252.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  253.    wt: 1:   17F Law of cosines
  254.    wt: 1:   1 Unit Points Reflections Rotations
  255.    wt: 1:   16 References and Originality Question
  256.    wt: 1:   14 Law of cosines
  257.    wt: 1:   1 Rectangular Polar Coordinates Review
  258.    wt: 1:   8 Triangles Cascade Problem Solving
  259.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  260.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  261.    wt: 1:   11 Triangle Similarity Missing Side Problem
  262.    wt: 1:   6 Geometric Diagrams in Class
  263.    wt: 1:   3 Similarity by Design with coordinates
  264.    wt: 1:   1 Early Concept of Like or Similar Shapes
  265.    wt: 1:   12 Links Lessons elsewhere
  266.    wt: 1:   10 Midpoint of [a b] and [b a]
  267.    wt: 1:   8 Mid Point Formula
  268.    wt: 1:   4 Equations for lines three forms
  269.    wt: 1:   3 Slope product for perpendicular lines
  270.    wt: 1:   1 Numerical view of lines and their equations
  271.    wt: 1:   12 Spatial Coordinates
  272.    wt: 1:   11 Triangle Inequality
  273.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  274.    wt: 1:   4 Polar Coordinates to and from
  275.    wt: 1:   3 Rectangular Coordinates Review
  276.    wt: 1:   2 Cartesian Coordinates with signs
  277.    wt: 1:   1 Cartesian Coordinates sans signs
  278.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  279.    wt: 1:   PS E Multiplication with Polar Coordinates
  280.    wt: 1:   PS D Addition with Cartesian Coordinates
  281.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  282.    wt: 1:   PS B Parallelogram Construction Methods
  283.    wt: 1:   21 Parallelograms
  284.    wt: 1:   1 Initial Concepts and Terms
  285.    wt: 1:   6 Figuring with Maps Not to Scale
  286.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  287.    wt: 1:   2 Measuring Area Directly
  288.    wt: 1:   musings do not puiblish real numbers
  289.    wt: 1:   A Modular and Remainder Arithmetic
  290.    wt: 1:   21 Addition of Multiples of a Single Vector
  291.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  292.    wt: 1:   15 Head to Tails in place Addition Associative
  293.    wt: 1:   13 Arrows and Vectors in a Plane
  294.    wt: 1:   9 Division with Digits after Decimal Point
  295.    wt: 1:   1 Fractions with Finite Decimal Expansions
  296.    wt: 1:   8 Column Multiplication Methods in General
  297.    wt: 1:   4 Commutative Law Groups Counting Form
  298.    wt: 1:   3 Inequalities Algebraically
  299.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  300.    wt: 1:   5 Proportionality in Equivalent Fractions
  301.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  302.    wt: 1:   6 Compound Interest Forward and Backwards
  303.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  304.    wt: 1:   3 Linear Equation Literal Solution More
  305.    wt: 1:   2 Linear Equation Literal Solution
  306.    wt: 1:   1 Changing Calculations
  307.    wt: 1:   5 Equality in Algebra
  308.    wt: 1:   5 Greater More Less Than Signs in General
  309.    wt: 1:   3 More and Less Than with Unlike Signs
  310.    wt: 1:   12 Real Number Additive Inverses or Negatives
  311.    wt: 1:   8 Coordinates for Maps and Planes
  312.    wt: 1:   2 Integers
  313.    wt: 1:   5 Independent versus Dependent Variables
  314.    wt: 1:   4 Changing Letters
  315.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  316.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  317.    wt: 1:   4 Solving a triangular system exercise
  318.    wt: 1:   3 Solving triangular system example
  319.    wt: 1:   5 Algebraic Solutions Introduction
  320.    wt: 1:   Using Letters for Physical Quantities
  321.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  322.    wt: 1:   8 Compound Interest Formula Evaluation
  323.    wt: 1:   9 Sets in Probability and Statistics
  324.    wt: 1:   3 Counting with Sets etc
  325.    wt: 1:   1 Finite Sets
  326.    wt: 1:   5 Talking about Numbers and Quantities
  327.    wt: 1:   3 Adding Words To Arithmetic
  328.    wt: 1:   4 Greater More Less Than Signs in General
  329.    wt: 1:   2 More and Less Than with Unlike Signs
  330.    wt: 1:   1 Squares and Square Roots Introduction
  331.    wt: 1:   2 Least Common Multiple LCM intro via list method
  332.    wt: 1:   1 Least Common Multiples LCM Introduction
  333.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  334.    wt: 1:   4 Counting with Trees Product Rule Take I
  335.    wt: 1:   3 Counting with Tables and Trees II
  336.    wt: 1:   2 Counting with Tables and Trees I
  337.    wt: 1:   10 dividing signed numbers
  338.    wt: 1:   9 subtracting signed numbers
  339.    wt: 1:   8 multiplying signed numbers
  340.    wt: 1:   7 negative and additive inverse
  341.    wt: 1:   6 adding signed numbers
  342.    wt: 1:   3 signed coordinates for maps and planes
  343.    wt: 1:   2 signed and unsigned numbers as coordinates
  344.    wt: 1:   3 Multiplying Units and Numbers
  345.    wt: 1:   21 Working With Signs
  346.    wt: 1:   20 Dividing Fractions the Why
  347.    wt: 1:   19 Dividing Fractions How TO
  348.    wt: 1:   D Remainders Modulo 11 Pair Rule
  349.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  350.    wt: 1:   B Integer Long Division Multiple Choices
  351.    wt: 1:   13 Subtraction with Additive Inverse
  352.    wt: 1:   10 Integer Multiplication Formulas
  353.    wt: 1:   8 Multiplication by Signed Numbers Integers
  354.    wt: 1:   5 Zero Movement and Additive Inverses
  355.    wt: 1:   4 Adding Movements wiht opposite directions
  356.    wt: 1:   3 Adding Movements with same direction
  357.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  358.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  359.    wt: 1:   23 Remainder Arithmetic Modulo 2
  360.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  361.    wt: 1:   21 Remainder Arithmetic Modulo 3
  362.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  363.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  364.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  365.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  366.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  367.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  368.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  369.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  370.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  371.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  372.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  373.    wt: 1:   5 Remainder Arithmetic Modulo 5
  374.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  375.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  376.    wt: 1:   1 Remainder Arithmetic Modulo 10
  377.    wt: 1:   17 Identify and Count Factors using Primes
  378.    wt: 1:   16 video Factors of 980 using prime
  379.    wt: 1:   15 video Factors of 20 using Prime Factorization
  380.    wt: 1:   13 video Factors of 24 using prime
  381.    wt: 1:   12 LCD GCD and LCM using Primes
  382.    wt: 1:   4 video Prime Factorization Introduction
  383.    wt: 1:   11 Another Single Digit Divisor Example
  384.    wt: 1:   8 Correcting the Mistake
  385.    wt: 1:   7 Long Divison Mistake Catching
  386.    wt: 1:   5 Long Division Include Zeroes or not
  387.    wt: 1:   3 Division Single Digit Divisor Example
  388.    wt: 1:   2 Division with Single Digit Divisors
  389.    wt: 1:   C Counting Areas with Powers of Ten
  390.    wt: 1:   Video Power Notation in Decimal Expansion
  391.    wt: 1:   9 22 Minute Subtraction Review Video
  392.    wt: 1:   2 Decimal Counting Practices
  393.    wt: 1:   11 Place Value SI Standard International way
  394.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  395.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  396.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  397.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  398.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  399.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  400.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  401.    wt: 1:   016 Numbering Occidental Calendar Days
  402.    wt: 1:   015 School and work day counting tables
  403.    wt: 1:   014 Counting Days with Calendars
  404.    wt: 1:   011 Division of Time Intervals By Numbers
  405.    wt: 1:   010 Repeated Addition of Time Intervals
  406.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  407.    wt: 1:   7 Addition of Time Intervals
  408.    wt: 1:   2 Time and Date Matters in School
  409.    wt: 1:   1 Intro of Kids To Time Date Skills
  410.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  411.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  412.    wt: 1:   A Related Material in Volume 3
  413.    wt: 1:   3 Two Chain Rule Method Exercises
  414.    wt: 1:   A Related lessons in Volume 3
  415.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  416.    wt: 1:   A Chain Rule Real Player video examples
  417.    wt: 1:   33 Chain Rule Real Player video examples
  418.    wt: 1:   31 Derivatives of inverse functions
  419.    wt: 1:   30Chain Rule A Proof
  420.    wt: 1:   28 Chain Rule Preparation for a Proof
  421.    wt: 1:   24 Chain Rule Animated Examples
  422.    wt: 1:   22 Chain Rule for polynomials
  423.    wt: 1:   21 Chain Rule for powers
  424.    wt: 1:   20 Chain Rule for Pulley Systems
  425.    wt: 1:   10 Power rule for negative integers
  426.    wt: 1:   3 Motivation for Limit Definition Take 2
  427.    wt: 1:   2 Motivation for Limit Definition Take 1
  428.    wt: 1:   9 Limits Continuity and Composition
  429.    wt: 1:   1 Numerical introduction
  430.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  431.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  432.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  433.    wt: 1:   F.5a Equicontinuity Theorems
  434.    wt: 1:   F.3 Intermediate Value Theorem
  435.    wt: 1:   F.1 What Functions are Continuous
  436.    wt: 1:   E1 Error Control Inequalities
  437.    wt: 1:   C Triangle Inequalities
  438.    wt: 1:   PostScript For and Against Decimal Perspectives
  439.    wt: 1:   A1. Introduction
  440.    wt: 1:   index
  441.    wt: 1:   Chapter 23 Links To Trigonometry
  442.    wt: 1:   Chapter 18. Slopes Areas Integration
  443.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  444.    wt: 1:   Chapter 11. Graphing Slope versus Position
  445.    wt: 1:   Chapter 9 About First Courses in Calculus
  446.    wt: 1:   Chapter 8. Slope Interpretation
  447.    wt: 1:   Chapter 1.Introduction
  448.    wt: 1:   Appendix D. What to do in School and Why
  449.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  450.    wt: 1:   Chapter 31 Direct and Indirect Reason
  451.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  452.    wt: 1:   Chapter 25. Mathematical Induction Examples
  453.    wt: 1:   Chapter 25. Mathematical Induction Examples
  454.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  455.    wt: 1:   Chapter 21. Third Reading Guide
  456.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  457.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  458.    wt: 1:   Chapter 13. Second Reading Guide
  459.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  460.    wt: 1:   Chapter 4 Longer Chains of Reason
  461.    wt: 1:   Chapter 3 Chains of Reason
  462.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  463.    wt: 1:   Annotated Links to Material Elsehwere
  464.    wt: 1:   Chapter 11 Elementary Instruction
  465.    wt: 1:   Chapter 8 Modern Instruction
  466.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  467.    wt: 1:   Chapter 2 For and Against Mathematics
  468.    wt: 1:   Chapter 1 Introduction
  469.    wt: 1:   Postscript B More on Story Telling and Reason
  470.    wt: 1:   Postscript A Story Telling
  471.    wt: 1:   Chapter 24 Direct and Indirect Reason
  472.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  473.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  474.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  475.    wt: 1:   Chapter 7 Longer Chains of Reason
  476.    wt: 1:   Chapter 6 Chains of Reason
  477.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  478.    wt: 1:   Chapter 1 Introduction
  479.    wt: 1:   S Adding words to algebra
  480.    wt: 1:   O On Learning Mathematics and Science
  481.    wt: 1:   J. More on written work and showing skill
  482.    wt: 1:   H Jigsaw puzzles and problem solving
  483.    wt: 1:   B. Domino effect of errors
  484.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  485.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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  1.    wt: 7:   3 Like resistors in parallel
  2.    wt: 7:   2 Unlike resistors in parallel01
  3.    wt: 6:   1 Like resistors in series
  4.    wt: 6:   F Unlike Resistors in Series
  5.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  6.    wt: 6:   Straight Lines Instersection Solving Equations
  7.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  8.    wt: 5:   7 arcsin left inverse of sine Definition
  9.    wt: 5:   Parallel Lines and Parallel Transversals
  10.    wt: 5:   Parallel Lines and Interior Angles
  11.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  12.    wt: 5:   Straight Lines ASA Intersection Study More
  13.    wt: 5:   Straight Lines ASA Intersection Study
  14.    wt: 5:   Straight Lines Intersection of
  15.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  16.    wt: 5:   6 Intersection of lines by solving linear systems
  17.    wt: 5:   3 Multiplicative Counting Skills Principles
  18.    wt: 5:   2 Combing Counts Addition Skills and Principles
  19.    wt: 5:   1 The Counting Origins of Numbers
  20.    wt: 5:   7 Adding decimal fractions using decimal point
  21.    wt: 4:   16 Increasing or decreasing on intervals
  22.    wt: 4:   8 arcsin left inverse of sine Graph
  23.    wt: 4:   3 Left Inverse of cosine arccos definition
  24.    wt: 4:   4 graphing y=Asin(x c)
  25.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  26.    wt: 4:   Proportionality of Line Segments From Parallel Transversals
  27.    wt: 4:   3 Straight Lines Slope as Tangent of Inclination Angle
  28.    wt: 4:   9 Midpoint Coordinates Half Endpoint Sum
  29.    wt: 4:   8 Column Multiplication Methods in General
  30.    wt: 4:   4 Commutative Law Groups Counting Form
  31.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  32.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  33.    wt: 4:   4 Solving a triangular system exercise
  34.    wt: 4:   3 Solving triangular system example
  35.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  36.    wt: 4:   14 Adding and Subtracting with Like Denominators
  37.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  38.    wt: 4:   6. Counting and adding units and mixed units
  39.    wt: 4:   1. Explaining Addition Table
  40.    wt: 4:   2 Indefinite Integrals Exercises
  41.    wt: 4:   1 Chain Rule in Reverse Integration Method
  42.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  43.    wt: 4:   26 Chain Rule Recognising outer inner functions
  44.    wt: 3:   J LAMP Introduction Extrinsic Origins
  45.    wt: 3:   Different Kinds of Reasoning in maths
  46.    wt: 3:   fairness and inductive principles for instruction
  47.    wt: 3:   4 Energy Power Heat09
  48.    wt: 3:   3 Energy Power Heat08
  49.    wt: 3:   2 Energy Power Heat07
  50.    wt: 3:   1 Energy Power Heat06
  51.    wt: 3:   E Energy Power05
  52.    wt: 3:   D Energy Power04
  53.    wt: 3:   C Energy Power03
  54.    wt: 3:   B Energy Power02
  55.    wt: 3:   A Energy Power01
  56.    wt: 3:   2 Conductance Resistance Duality02
  57.    wt: 3:   1 Conductance Resistance Duality01
  58.    wt: 3:   F Wire Resistance Calculation04
  59.    wt: 3:   E Wire Resistance Calculation03
  60.    wt: 3:   D Wire Resistance Calculation02
  61.    wt: 3:   C Wire Resistance Calculation01
  62.    wt: 3:   B Wire Resistance Qualitative02
  63.    wt: 3:   A Wire Resistance Qualitative01
  64.    wt: 3:   H Series Circuit02
  65.    wt: 3:   G Series Circuit01
  66.    wt: 3:   E Kirchoffs Second Law
  67.    wt: 3:   D Kirchoff First Law
  68.    wt: 3:   C Electromotive force conventional current02
  69.    wt: 3:   B Electromotive force conventional current01
  70.    wt: 3:   A Circuit Elements
  71.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  72.    wt: 3:   20 Interchanging coordinates a reflection
  73.    wt: 3:   16 cotangent function Definition Graph and Inverse
  74.    wt: 3:   15 cosecant function Definition Graph and Inverse
  75.    wt: 3:   14 secant function Definition Graph and Inverse
  76.    wt: 3:   13 cosecant function Definition Graph and Inverse
  77.    wt: 3:   10 arctan left inverse of tangent Definition
  78.    wt: 3:   5 Swapping Coordinates is a reflection
  79.    wt: 3:   3 graphing y=f(x c) plus K
  80.    wt: 3:   1 graphing y=f(x a)
  81.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  82.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  83.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  84.    wt: 3:   C Straight Lines Slope from Coordinates
  85.    wt: 3:   B Straight Line Slope Scaling Properties More
  86.    wt: 3:   A Straight Line Slope Scaling Properties
  87.    wt: 3:   12 Straight Lines Graphing mx plus b
  88.    wt: 3:   11 Straight Lines Graphing y=mx
  89.    wt: 3:   10 Straight Lines through Origin Equations More
  90.    wt: 3:   9 Straight Lines through Origin Equations
  91.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  92.    wt: 3:   28 Expressing products of sines cosines as sums
  93.    wt: 3:   2 point slope equation for a line
  94.    wt: 3:   8 Distance Between Points on a Line
  95.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  96.    wt: 3:   12 Real Numbers Line Signed Coordinates
  97.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  98.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  99.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  100.    wt: 3:   4 Location of Point in Decimal Addition
  101.    wt: 3:   3 Location of Point in Decimal Multiplication
  102.    wt: 3:   2 Counting Digits in Decimal Multiplication
  103.    wt: 3:   E Long Division Methods more
  104.    wt: 3:   D Long Division Methods
  105.    wt: 3:   C Three Decimal Subtraction Methods
  106.    wt: 3:   B Decimal Comparison and Subtraction
  107.    wt: 3:   A Decimal Addition Columm Methods
  108.    wt: 3:   7 Decimals Multiplication Methods Examples
  109.    wt: 3:   6 Column Methods for Decimal Multiplication
  110.    wt: 3:   5 Distributive Law for Whole Numbers
  111.    wt: 3:   4 GE III Animated Examples
  112.    wt: 3:   3 GE III Equation Addition and Multiplication
  113.    wt: 3:   2 GE II Comparison
  114.    wt: 3:   1 GE Substitution four examples
  115.    wt: 3:   2 Essentially one exercises three with solution
  116.    wt: 3:   1 Essentially One Unknown
  117.    wt: 3:   5 Algebraic Solutions Introduction
  118.    wt: 3:   Using Letters for Physical Quantities
  119.    wt: 3:   1 Counting and Counting Methods I
  120.    wt: 3:   12 Adding Integers More Examples
  121.    wt: 3:   11 Adding Integers Formulas and Examples
  122.    wt: 3:   9 Multiplying Integers
  123.    wt: 3:   1 Integers as Coordinates
  124.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  125.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  126.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  127.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  128.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  129.    wt: 3:   9 22 Minute Subtraction Review Video
  130.    wt: 3:   2 Decimal Counting Practices
  131.    wt: 3:   4 Definite Integrals Evaluation Exercises
  132.    wt: 3:   29 Chain Rule Optional Reading
  133.    wt: 3:   25 Chain Rule Animated Examples Continued
  134.    wt: 3:   23 Chain Rule in general
  135.    wt: 3:   19 Chain Rule for linear functions
  136.    wt: 3:   18 Chain Rule Introduction
  137.    wt: 3:   17 Derivatives of quotients of sine and cosine
  138.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  139.    wt: 3:   15 sine and cosine derivatives 3rd step
  140.    wt: 3:   14 sine and cosine derivatives 2nd step
  141.    wt: 3:   13 sine and cosine derivatives 1st step
  142.    wt: 3:   11 Limits at infinity Three Examples
  143.    wt: 3:   10 Three one sided limits with infinite values
  144.    wt: 3:   6 Continuity at a point
  145.    wt: 3:   3 Decimal insights for limits continuity convergence
  146.    wt: 3:   H more Routine to non routine problem solving
  147.    wt: 3:   Helping the Blind in Logic and Mathematics
  148.    wt: 2:   H LAMP Introduction Instructional Concepts
  149.    wt: 2:   G LAMP Introduction Problem Solving Skills
  150.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  151.    wt: 2:   Ramblings Extrinsic numbers theory
  152.    wt: 2:   Ramblings Introduction Algebra Essay
  153.    wt: 2:   links Education Resources online
  154.    wt: 2:   grouping students according to ability
  155.    wt: 2:   teaching tutoring algebraic reason
  156.    wt: 2:   mathematics instruction in general
  157.    wt: 2:   three kinds of reason in mathematics
  158.    wt: 2:   cultivating intelligence
  159.    wt: 2:   Prequel In For A Penny In For A Pound
  160.    wt: 2:   chapitre 07 01 principle D induction mathematique
  161.    wt: 2:   Home Tutoring and Home Schooling
  162.    wt: 2:   2 Reading and Writing Skills
  163.    wt: 2:   26 Function definitions done and coming
  164.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  165.    wt: 2:   7 Functions with finite domains
  166.    wt: 2:   Introduction Reading Guide
  167.    wt: 2:   3 quadratics factoring by inspection
  168.    wt: 2:   2 quadratics graphing in general
  169.    wt: 2:   11 arctan left inverse of tangent Graph
  170.    wt: 2:   9 motivation for name arcsin
  171.    wt: 2:   2 cosine function more properties
  172.    wt: 2:   1 cosine function properties
  173.    wt: 2:   Triangle Angles Sum To 180 Degrees
  174.    wt: 2:   14 Straight Lines Equations General Case
  175.    wt: 2:   8 Straight Lines Equation for vertical
  176.    wt: 2:   7 Tangent Function is odd on this domain
  177.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  178.    wt: 2:   1 Straight Lines Slope Concept
  179.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  180.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  181.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  182.    wt: 2:   27 Logarithmic use of products of sines and cosines
  183.    wt: 2:   26 Formulas for products of sines and cosines
  184.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  185.    wt: 2:   21 sine and cosine Half Angle Formulas
  186.    wt: 2:   20 sine and cosine Double Angle Formulas
  187.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  188.    wt: 2:   18 sum of sinusoidal waves as a single wave
  189.    wt: 2:   17D cis formulas for sine cosines and tangent
  190.    wt: 2:   17C sine and cosine double triple angle formulas
  191.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  192.    wt: 2:   15 sine cosine Complementary Angle Relations
  193.    wt: 2:   14 cosine even and sine and tangent are odd
  194.    wt: 2:   11 tangent function undefined when terminal side vertical
  195.    wt: 2:   10 Graphs of sines and cosines many periods
  196.    wt: 2:   9 Graphs of sine and cosine over one period
  197.    wt: 2:   7 period of sine and cosine
  198.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  199.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  200.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  201.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  202.    wt: 2:   12 cis formulas for sine cosines and tangent
  203.    wt: 2:   11 sine and cosine double triple angle formulas
  204.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  205.    wt: 2:   3 Trigonometric Ratios sine and cosine
  206.    wt: 2:   4 Similarity Definition with Coordinate
  207.    wt: 2:   12 Links Lessons elsewhere
  208.    wt: 2:   10 Midpoint of [a b] and [b a]
  209.    wt: 2:   8 Mid Point Formula
  210.    wt: 2:   4 Equations for lines three forms
  211.    wt: 2:   3 Slope product for perpendicular lines
  212.    wt: 2:   1 Numerical view of lines and their equations
  213.    wt: 2:   12 Spatial Coordinates
  214.    wt: 2:   11 Triangle Inequality
  215.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  216.    wt: 2:   4 Polar Coordinates to and from
  217.    wt: 2:   3 Rectangular Coordinates Review
  218.    wt: 2:   2 Cartesian Coordinates with signs
  219.    wt: 2:   1 Cartesian Coordinates sans signs
  220.    wt: 2:   14 Parallel Lines Postulate
  221.    wt: 2:   10 Dropping a perpendicular to line
  222.    wt: 2:   musings do not puiblish real numbers
  223.    wt: 2:   A Modular and Remainder Arithmetic
  224.    wt: 2:   21 Addition of Multiples of a Single Vector
  225.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  226.    wt: 2:   15 Head to Tails in place Addition Associative
  227.    wt: 2:   13 Arrows and Vectors in a Plane
  228.    wt: 2:   9 Division with Digits after Decimal Point
  229.    wt: 2:   1 Fractions with Finite Decimal Expansions
  230.    wt: 2:   3 Inequalities Algebraically
  231.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  232.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  233.    wt: 2:   6 Compound Interest Forward and Backwards
  234.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  235.    wt: 2:   3 Linear Equation Literal Solution More
  236.    wt: 2:   2 Linear Equation Literal Solution
  237.    wt: 2:   1 Changing Calculations
  238.    wt: 2:   5 Greater More Less Than Signs in General
  239.    wt: 2:   3 More and Less Than with Unlike Signs
  240.    wt: 2:   9 Coordinates for Regions in Space
  241.    wt: 2:   7 Real Numbers as Line Cordinates
  242.    wt: 2:   More Exercises
  243.    wt: 2:   Simple Exercises
  244.    wt: 2:   6 Algebraic Solution Example
  245.    wt: 2:   4 Four Examples Fractional Coefficients
  246.    wt: 2:   3 Four Examples
  247.    wt: 2:   2 Three Examples
  248.    wt: 2:   1 Proper Equal Sign Usage
  249.    wt: 2:   Skill Development Notes
  250.    wt: 2:   10 One Example
  251.    wt: 2:   9 Three Examples
  252.    wt: 2:   8 One Example
  253.    wt: 2:   7 Two Examples
  254.    wt: 2:   6 Three Examples
  255.    wt: 2:   5 Three Examples
  256.    wt: 2:   4 Two Examples
  257.    wt: 2:   3 Two Examples
  258.    wt: 2:   2 Three Examples
  259.    wt: 2:   Formula Usage Show Work Format
  260.    wt: 2:   13 Naming Identifying Formulas with Words
  261.    wt: 2:   7 Compound Interest Formula Introduction
  262.    wt: 2:   1 Written work formats for developing and showing skill
  263.    wt: 2:   9 Sets in Probability and Statistics
  264.    wt: 2:   3 Counting with Sets etc
  265.    wt: 2:   1 Finite Sets
  266.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  267.    wt: 2:   4 Counting with Trees Product Rule Take I
  268.    wt: 2:   3 Counting with Tables and Trees II
  269.    wt: 2:   2 Counting with Tables and Trees I
  270.    wt: 2:   4 signed coordinates for regions in space
  271.    wt: 2:   7 Converting or Changing Units
  272.    wt: 2:   D Remainders Modulo 11 Pair Rule
  273.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  274.    wt: 2:   B Integer Long Division Multiple Choices
  275.    wt: 2:   13 Subtraction with Additive Inverse
  276.    wt: 2:   10 Integer Multiplication Formulas
  277.    wt: 2:   8 Multiplication by Signed Numbers Integers
  278.    wt: 2:   5 Zero Movement and Additive Inverses
  279.    wt: 2:   4 Adding Movements wiht opposite directions
  280.    wt: 2:   3 Adding Movements with same direction
  281.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  282.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  283.    wt: 2:   23 Remainder Arithmetic Modulo 2
  284.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  285.    wt: 2:   21 Remainder Arithmetic Modulo 3
  286.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  287.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  288.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  289.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  290.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  291.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  292.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  293.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  294.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  295.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  296.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  297.    wt: 2:   5 Remainder Arithmetic Modulo 5
  298.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  299.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  300.    wt: 2:   1 Remainder Arithmetic Modulo 10
  301.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  302.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  303.    wt: 2:   Subtraction with J Conversions Example
  304.    wt: 2:   Subtraction Another Video Lesson
  305.    wt: 2:   8 Subtraction with Units of Measure
  306.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  307.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  308.    wt: 2:   5 A Tip for Efficent Subtraction
  309.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  310.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  311.    wt: 2:   2 Subtraction Easy Case Examples
  312.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  313.    wt: 2:   8 What skills and work habits to require
  314.    wt: 2:   5. How to add decimals C. Examples
  315.    wt: 2:   4. How to add with decimals B with conversions
  316.    wt: 2:   3. How to add with decimals A sans conversions
  317.    wt: 2:   012 Division of Time Intervals by Time Intervals
  318.    wt: 2:   8 Addition of Time Intervals via subtotaling
  319.    wt: 2:   4 Mixing and Changing Units of Time
  320.    wt: 2:   A Related Material in Volume 3
  321.    wt: 2:   3 Two Chain Rule Method Exercises
  322.    wt: 2:   A Related lessons in Volume 3
  323.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  324.    wt: 2:   A Chain Rule Real Player video examples
  325.    wt: 2:   33 Chain Rule Real Player video examples
  326.    wt: 2:   31 Derivatives of inverse functions
  327.    wt: 2:   30Chain Rule A Proof
  328.    wt: 2:   28 Chain Rule Preparation for a Proof
  329.    wt: 2:   24 Chain Rule Animated Examples
  330.    wt: 2:   22 Chain Rule for polynomials
  331.    wt: 2:   21 Chain Rule for powers
  332.    wt: 2:   20 Chain Rule for Pulley Systems
  333.    wt: 2:   10 Power rule for negative integers
  334.    wt: 2:   3 Motivation for Limit Definition Take 2
  335.    wt: 2:   2 Motivation for Limit Definition Take 1
  336.    wt: 2:   9 Limits Continuity and Composition
  337.    wt: 2:   1 Numerical introduction
  338.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  339.    wt: 2:   F.4 Finite Covering Theorem
  340.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  341.    wt: 2:   Chapter 23 Links To Trigonometry
  342.    wt: 2:   Chapter 18. Slopes Areas Integration
  343.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  344.    wt: 2:   Chapter 11. Graphing Slope versus Position
  345.    wt: 2:   Chapter 9 About First Courses in Calculus
  346.    wt: 2:   Chapter 8. Slope Interpretation
  347.    wt: 2:   Chapter 1.Introduction
  348.    wt: 2:   Chapter 16. Painless Theorem Proving
  349.    wt: 2:   Chapter 15. Solving Linear Equations
  350.    wt: 2:   Chapter 10 Describing and Changing Calculations
  351.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  352.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  353.    wt: 2:   N Improving Marks on Tests and Finals
  354.    wt: 2:   G. Written work formats for developing and showing skill
  355.    wt: 2:   C. Domino effect of being careful
  356.    wt: 2:   Systematic Algebra Skill Development Missing Links
  357.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  358.    wt: 1:   K LAMP Musings Science Education
  359.    wt: 1:   I LAMP Introduction Study Habits
  360.    wt: 1:   F LAMP Introduction Prerequisites
  361.    wt: 1:   E LAMP Introduction Modern Mathematics
  362.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  363.    wt: 1:   A Introduction Objectives
  364.    wt: 1:   Skills Chapter 0 Introduction
  365.    wt: 1:   9 combinatorics probability sets
  366.    wt: 1:   7 logic review and decimals an odd combination
  367.    wt: 1:   site origins
  368.    wt: 1:   learning takes time
  369.    wt: 1:   mathematics in context
  370.    wt: 1:   Education Reform Inconsistencies
  371.    wt: 1:   Maps Plans Drawings
  372.    wt: 1:   teaching tips
  373.    wt: 1:   Lessening Algebra Difficulties
  374.    wt: 1:   Operational Viewpoint to Value
  375.    wt: 1:   formal or informal peer review
  376.    wt: 1:   Education in mathematics science and technology
  377.    wt: 1:   How to be a better instructor
  378.    wt: 1:   words for mathematics instructor
  379.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  380.    wt: 1:   chapitre 06 00 Chaines de la raison
  381.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  382.    wt: 1:   chapitre 01 00 Introduction
  383.    wt: 1:   deux definitions pour variable
  384.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  385.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  386.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  387.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  388.    wt: 1:   15 Counting For Parents
  389.    wt: 1:   10 Ends values for work study instruction
  390.    wt: 1:   9 Streaming by Student Cooperation
  391.    wt: 1:   4 Learning Takes Time and Effort
  392.    wt: 1:   3 Preparing for Science Studies
  393.    wt: 1:   1 Speaking Skills
  394.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  395.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  396.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  397.    wt: 1:   23 Inverse Functions
  398.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  399.    wt: 1:   19 Horizontal line rule and method
  400.    wt: 1:   18 Vertical Line Rule and Method
  401.    wt: 1:   17 Function maxima minima and their location
  402.    wt: 1:   14 Surjections Injections Bijections
  403.    wt: 1:   12 Function Domain Recognition Exercises
  404.    wt: 1:   11 Function Domain Range Source and Targets
  405.    wt: 1:   10 Interval Notation
  406.    wt: 1:   9 Set theory term relation possible origins
  407.    wt: 1:   4 Function notation in and beyond mathematics
  408.    wt: 1:   3 Formula or function graphing exercise
  409.    wt: 1:   1 Geometric Introduction of Function Notation
  410.    wt: 1:   5 quadratics completing the square
  411.    wt: 1:   1 quadratics graphing exercises
  412.    wt: 1:   Quadratics in 10 steps
  413.    wt: 1:   11 Growth and Decay in Biology
  414.    wt: 1:   8 Notes for instructors or tutors
  415.    wt: 1:   7 Links Lessons Elsewhere
  416.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  417.    wt: 1:   4 Polynomials Long division linear divisor
  418.    wt: 1:   Rewriting algebraic substitution as function substitutions
  419.    wt: 1:   12 motivation for term arctan
  420.    wt: 1:   6 Graph of arccos function
  421.    wt: 1:   4 possible motivation for term arccos
  422.    wt: 1:   7 Radian Measures in special Triangles
  423.    wt: 1:   1 Degrees and Radians Introduction
  424.    wt: 1:   13 Velocity Vectors in Physics
  425.    wt: 1:   10 Parallelogram Addition Method
  426.    wt: 1:   9 Head to Tail Coordinate View
  427.    wt: 1:   8 Parallel Vectors
  428.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  429.    wt: 1:   6 Vectors with Coordinates
  430.    wt: 1:   2 Signed Coordinates
  431.    wt: 1:   1 Unsigned Coordinates
  432.    wt: 1:   5 Tangent Function Graph
  433.    wt: 1:   4 Tangent Function Properties
  434.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  435.    wt: 1:   17F Law of cosines
  436.    wt: 1:   1 Unit Points Reflections Rotations
  437.    wt: 1:   16 References and Originality Question
  438.    wt: 1:   14 Law of cosines
  439.    wt: 1:   1 Rectangular Polar Coordinates Review
  440.    wt: 1:   8 Triangles Cascade Problem Solving
  441.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  442.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  443.    wt: 1:   11 Triangle Similarity Missing Side Problem
  444.    wt: 1:   6 Geometric Diagrams in Class
  445.    wt: 1:   3 Similarity by Design with coordinates
  446.    wt: 1:   1 Early Concept of Like or Similar Shapes
  447.    wt: 1:   Four Simple Exercises
  448.    wt: 1:   11 A Partial Summary
  449.    wt: 1:   7 Exercises to test skill and concept mastery
  450.    wt: 1:   5 Algebraic View of Slopes
  451.    wt: 1:   What is and is not here
  452.    wt: 1:   13 Pythagorean spatial distance formulas
  453.    wt: 1:   10 Pythagorean plane distance formula
  454.    wt: 1:   7 Complex Numbers Appetizer
  455.    wt: 1:   6 Polar Multiplication and Rotation
  456.    wt: 1:   5 Cartesian Addition and Translation
  457.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  458.    wt: 1:   PS E Multiplication with Polar Coordinates
  459.    wt: 1:   PS D Addition with Cartesian Coordinates
  460.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  461.    wt: 1:   PS B Parallelogram Construction Methods
  462.    wt: 1:   21 Parallelograms
  463.    wt: 1:   1 Initial Concepts and Terms
  464.    wt: 1:   6 Figuring with Maps Not to Scale
  465.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  466.    wt: 1:   2 Measuring Area Directly
  467.    wt: 1:   A Signed Number Arithmetic Review
  468.    wt: 1:   26 More Less Greater Than Comparison
  469.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  470.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  471.    wt: 1:   23 Distributive Law Two Derivations
  472.    wt: 1:   22 Multiplication of Signed Numbers
  473.    wt: 1:   19 Signed Multiples of Vectors
  474.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  475.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  476.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  477.    wt: 1:   11 Signed Number Addition and Addition Properties
  478.    wt: 1:   8 Division and Mulplication of Compound Fractions
  479.    wt: 1:   5 Areas of Rectangles Revisited
  480.    wt: 1:   4 Fraction Operations Axiomatic Development
  481.    wt: 1:   2 Fraction Operations Physical Development
  482.    wt: 1:   5 Proportionality in Equivalent Fractions
  483.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  484.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  485.    wt: 1:   5 Triangle Area Formula Backwards
  486.    wt: 1:   5 Equality in Algebra
  487.    wt: 1:   4 Comparison of Negative Numbers
  488.    wt: 1:   2 More and Less Than for Counts and Measures
  489.    wt: 1:   1 Real Numbers Comparison
  490.    wt: 1:   12 Real Number Additive Inverses or Negatives
  491.    wt: 1:   8 Coordinates for Maps and Planes
  492.    wt: 1:   2 Integers
  493.    wt: 1:   5 Independent versus Dependent Variables
  494.    wt: 1:   4 Changing Letters
  495.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  496.    wt: 1:   8 Compound Interest Formula Evaluation
  497.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  498.    wt: 1:   8 Sets of Numbers
  499.    wt: 1:   7 Cautious or Safe Set Construction
  500.    wt: 1:   6 Power Set Notation
  501.    wt: 1:   5 Product Builder Notation
  502.    wt: 1:   4 Subset Builder Notation
  503.    wt: 1:   2 Venn Diagrams
  504.    wt: 1:   5 Talking about Numbers and Quantities
  505.    wt: 1:   3 Adding Words To Arithmetic
  506.    wt: 1:   4 Greater More Less Than Signs in General
  507.    wt: 1:   2 More and Less Than with Unlike Signs
  508.    wt: 1:   1 Squares and Square Roots Introduction
  509.    wt: 1:   2 Least Common Multiple LCM intro via list method
  510.    wt: 1:   1 Least Common Multiples LCM Introduction
  511.    wt: 1:   10 dividing signed numbers
  512.    wt: 1:   9 subtracting signed numbers
  513.    wt: 1:   8 multiplying signed numbers
  514.    wt: 1:   7 negative and additive inverse
  515.    wt: 1:   6 adding signed numbers
  516.    wt: 1:   3 signed coordinates for maps and planes
  517.    wt: 1:   2 signed and unsigned numbers as coordinates
  518.    wt: 1:   3 Multiplying Units and Numbers
  519.    wt: 1:   21 Working With Signs
  520.    wt: 1:   20 Dividing Fractions the Why
  521.    wt: 1:   19 Dividing Fractions How TO
  522.    wt: 1:   A Associative Law Theorectical Note
  523.    wt: 1:   7 Multiplication by Signs
  524.    wt: 1:   6 Multiplication by Natural Numbers
  525.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  526.    wt: 1:   26 Divisibility by 2 3 5 Example
  527.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  528.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  529.    wt: 1:   17 Identify and Count Factors using Primes
  530.    wt: 1:   16 video Factors of 980 using prime
  531.    wt: 1:   15 video Factors of 20 using Prime Factorization
  532.    wt: 1:   13 video Factors of 24 using prime
  533.    wt: 1:   12 LCD GCD and LCM using Primes
  534.    wt: 1:   4 video Prime Factorization Introduction
  535.    wt: 1:   11 Another Single Digit Divisor Example
  536.    wt: 1:   8 Correcting the Mistake
  537.    wt: 1:   7 Long Divison Mistake Catching
  538.    wt: 1:   5 Long Division Include Zeroes or not
  539.    wt: 1:   3 Division Single Digit Divisor Example
  540.    wt: 1:   2 Division with Single Digit Divisors
  541.    wt: 1:   C Counting Areas with Powers of Ten
  542.    wt: 1:   Video Power Notation in Decimal Expansion
  543.    wt: 1:   11 Place Value SI Standard International way
  544.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  545.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  546.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  547.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  548.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  549.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  550.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  551.    wt: 1:   016 Numbering Occidental Calendar Days
  552.    wt: 1:   015 School and work day counting tables
  553.    wt: 1:   014 Counting Days with Calendars
  554.    wt: 1:   011 Division of Time Intervals By Numbers
  555.    wt: 1:   010 Repeated Addition of Time Intervals
  556.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  557.    wt: 1:   7 Addition of Time Intervals
  558.    wt: 1:   2 Time and Date Matters in School
  559.    wt: 1:   1 Intro of Kids To Time Date Skills
  560.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  561.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  562.    wt: 1:   5 Area Under Curve Exercise
  563.    wt: 1:   4 Second derivative test exercise example
  564.    wt: 1:   3 Second derivative test
  565.    wt: 1:   2 Second derivative test prequel
  566.    wt: 1:   38 Formulas and derivatives for powers and roots
  567.    wt: 1:   36 Cube root derivative animated
  568.    wt: 1:   34 Derivative of exponential function
  569.    wt: 1:   12 Quotient rule examples
  570.    wt: 1:   11 Quotient rule
  571.    wt: 1:   9 Reciprocal rule
  572.    wt: 1:   8 Differentiation of polynomials
  573.    wt: 1:   7 Animated Differentiation Examples
  574.    wt: 1:   6 Power rule from product rule
  575.    wt: 1:   5 Product Rule
  576.    wt: 1:   4 Sum Rule
  577.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  578.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  579.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  580.    wt: 1:   8 Four Animated Examples
  581.    wt: 1:   7 Evaluation by immediate or delayed substitution
  582.    wt: 1:   5 Jumps and absence of unlimited error control
  583.    wt: 1:   4 Numerical properties
  584.    wt: 1:   2 Algebraic codification
  585.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  586.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  587.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  588.    wt: 1:   F.5a Equicontinuity Theorems
  589.    wt: 1:   F.3 Intermediate Value Theorem
  590.    wt: 1:   F.1 What Functions are Continuous
  591.    wt: 1:   E1 Error Control Inequalities
  592.    wt: 1:   C Triangle Inequalities
  593.    wt: 1:   PostScript For and Against Decimal Perspectives
  594.    wt: 1:   A1. Introduction
  595.    wt: 1:   index
  596.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  597.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  598.    wt: 1:   Chapter 22 Complex Numbers
  599.    wt: 1:   Chapter 21 Arrow Addition
  600.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  601.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  602.    wt: 1:   Chapter 17. Area Approximation
  603.    wt: 1:   Chapter 16. Velocity Approximation
  604.    wt: 1:   Chapter 15. Slope Approximation
  605.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  606.    wt: 1:   Chapter 13. Acceleration
  607.    wt: 1:   Chapter 12. Units and Slopes
  608.    wt: 1:   Chapter 10 Slopes and Units
  609.    wt: 1:   Chapter 7 Slopes and Velocity
  610.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  611.    wt: 1:   Chapter 5. Slope Sign Tests
  612.    wt: 1:   Chapter 4. More Slope Sign Analysis
  613.    wt: 1:   Chapter 3. Slope Sign Analysis
  614.    wt: 1:   Chapter 2. Slopes and Ski Trails
  615.    wt: 1:   Fall 1983 Calculus Appetizer
  616.    wt: 1:   Foreword
  617.    wt: 1:   Appendix D. What to do in School and Why
  618.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  619.    wt: 1:   Chapter 31 Direct and Indirect Reason
  620.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  621.    wt: 1:   Chapter 25. Mathematical Induction Examples
  622.    wt: 1:   Chapter 25. Mathematical Induction Examples
  623.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  624.    wt: 1:   Chapter 21. Third Reading Guide
  625.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  626.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  627.    wt: 1:   Chapter 13. Second Reading Guide
  628.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  629.    wt: 1:   Chapter 4 Longer Chains of Reason
  630.    wt: 1:   Chapter 3 Chains of Reason
  631.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  632.    wt: 1:   Annotated Links to Material Elsehwere
  633.    wt: 1:   Chapter 11 Elementary Instruction
  634.    wt: 1:   Chapter 8 Modern Instruction
  635.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  636.    wt: 1:   Chapter 2 For and Against Mathematics
  637.    wt: 1:   Chapter 1 Introduction
  638.    wt: 1:   Postscript B More on Story Telling and Reason
  639.    wt: 1:   Postscript A Story Telling
  640.    wt: 1:   Chapter 24 Direct and Indirect Reason
  641.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  642.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  643.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  644.    wt: 1:   Chapter 7 Longer Chains of Reason
  645.    wt: 1:   Chapter 6 Chains of Reason
  646.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  647.    wt: 1:   Chapter 1 Introduction
  648.    wt: 1:   S Adding words to algebra
  649.    wt: 1:   O On Learning Mathematics and Science
  650.    wt: 1:   J. More on written work and showing skill
  651.    wt: 1:   H Jigsaw puzzles and problem solving
  652.    wt: 1:   B. Domino effect of errors
  653.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  654.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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