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

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

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

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

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

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

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

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

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  1.    wt: 3:   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:   Step 2 Algebraic solutions for one unknown/
  8.    wt: 2:   Step 1 Stick diagram and fractions/
  9.    wt: 2:   3 Solving Linear Equations/
  10.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 2:   A Decimal Counting and Adding Methods/
  12.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  13.    wt: 1:   11 Parallel Straight Lines and Transversals/
  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/

Web Page Search

483 matches:

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

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

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