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

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

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

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

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

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

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

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

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  1.    wt: 6:   LAMP Lean Applied Mathematics Program/
  2.    wt: 3:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 3:   Mathematics Education Essays/
  4.    wt: 3:   10 Intersecting Straight Lines and Transversals/
  5.    wt: 3:   A Origins of Counting and Figuring Methods/
  6.    wt: 3:   Step 4 Gaussian Elimination/
  7.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  8.    wt: 2:   12 Function Translating and Rescaling/
  9.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  10.    wt: 2:   Step 1 Stick diagram and fractions/
  11.    wt: 2:   3 Solving Linear Equations/
  12.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  13.    wt: 2:   A Decimal Counting and Adding Methods/
  14.    wt: 1:   Archives/
  15.    wt: 1:   Mathematics Skills Year by Year/
  16.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  17.    wt: 1:   11 Parallel Straight Lines and Transversals/
  18.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  19.    wt: 1:   4 Lines and Slopes Take 1/
  20.    wt: 1:   3 Cartesian and Polar Coordinates/
  21.    wt: 1:   B Real Numbers Extrinsic Development/
  22.    wt: 1:   10 Examples of Algebraic Reasoning/
  23.    wt: 1:   8 Unifying Theme For Algebra/
  24.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  25.    wt: 1:   1 Working With Sets/
  26.    wt: 1:   9 Combinatorics Trees Tables and Products/
  27.    wt: 1:   5 Integers/
  28.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  29.    wt: 1:   5 Lessons on Integration/
  30.    wt: 1:   4 Lessons on Using Derivatives/
  31.    wt: 1:   38 Lessons on Calculating Derivatives/
  32.    wt: 1:   13 Lessons on Limits and Continuity/
  33.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  34.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  35.    wt: 1:   Resources and Reciprocal Links/
  36.    wt: 1:   Mathematics 506 Lessons/
  37.    wt: 1:   Mathematics Skill Development Framework/

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509 matches:

  1.    wt: 6:   C LAMP Introduction Culture in Mathematics Education
  2.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  3.    wt: 4:   J LAMP Introduction Extrinsic Origins
  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:   Helping the Blind in Logic and Mathematics
  9.    wt: 3:   K LAMP Musings Science Education
  10.    wt: 3:   H LAMP Introduction Instructional Concepts
  11.    wt: 3:   G LAMP Introduction Problem Solving Skills
  12.    wt: 3:   E LAMP Introduction Modern Mathematics
  13.    wt: 3:   links Education Resources online
  14.    wt: 3:   mathematics instruction in general
  15.    wt: 3:   Education in mathematics science and technology
  16.    wt: 3:   Different Kinds of Reasoning in maths
  17.    wt: 3:   three kinds of reason in mathematics
  18.    wt: 3:   fairness and inductive principles for instruction
  19.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  20.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  21.    wt: 3:   20 Interchanging coordinates a reflection
  22.    wt: 3:   8 arcsin left inverse of sine Graph
  23.    wt: 3:   3 Left Inverse of cosine arccos definition
  24.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  25.    wt: 3:   Straight Lines Instersection Solving Equations
  26.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  27.    wt: 3:   28 Expressing products of sines cosines as sums
  28.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  29.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  30.    wt: 3:   14 Adding and Subtracting with Like Denominators
  31.    wt: 3:   7 Adding decimal fractions using decimal point
  32.    wt: 3:   2 Indefinite Integrals Exercises
  33.    wt: 3:   1 Chain Rule in Reverse Integration Method
  34.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  35.    wt: 3:   26 Chain Rule Recognising outer inner functions
  36.    wt: 3:   H more Routine to non routine problem solving
  37.    wt: 2:   I LAMP Introduction Study Habits
  38.    wt: 2:   F LAMP Introduction Prerequisites
  39.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  40.    wt: 2:   Ramblings Extrinsic numbers theory
  41.    wt: 2:   Ramblings Introduction Algebra Essay
  42.    wt: 2:   Applied Maths Program14092009 POMME variant
  43.    wt: 2:   Mathematics Education Professors
  44.    wt: 2:   grouping students according to ability
  45.    wt: 2:   mathematics in context
  46.    wt: 2:   Education Reform Inconsistencies
  47.    wt: 2:   teaching tutoring algebraic reason
  48.    wt: 2:   three goals for Mathematics Education
  49.    wt: 2:   02 20 mathematics education references
  50.    wt: 2:   cultivating intelligence
  51.    wt: 2:   Leaner mathematics curriculum
  52.    wt: 2:   Prequel In For A Penny In For A Pound
  53.    wt: 2:   words for mathematics instructor
  54.    wt: 2:   chapitre 07 01 principle D induction mathematique
  55.    wt: 2:   Home Tutoring and Home Schooling
  56.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  57.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  58.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  59.    wt: 2:   2 Reading and Writing Skills
  60.    wt: 2:   26 Function definitions done and coming
  61.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  62.    wt: 2:   7 Functions with finite domains
  63.    wt: 2:   4 Function notation in and beyond mathematics
  64.    wt: 2:   Introduction Reading Guide
  65.    wt: 2:   3 quadratics factoring by inspection
  66.    wt: 2:   2 quadratics graphing in general
  67.    wt: 2:   16 cotangent function Definition Graph and Inverse
  68.    wt: 2:   15 cosecant function Definition Graph and Inverse
  69.    wt: 2:   14 secant function Definition Graph and Inverse
  70.    wt: 2:   13 cosecant function Definition Graph and Inverse
  71.    wt: 2:   10 arctan left inverse of tangent Definition
  72.    wt: 2:   5 Swapping Coordinates is a reflection
  73.    wt: 2:   12 From Applied To Pure Mathematics
  74.    wt: 2:   4 graphing y=Asin(x c)
  75.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  76.    wt: 2:   Parallel Lines and Interior Angles
  77.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  78.    wt: 2:   Straight Lines ASA Intersection Study More
  79.    wt: 2:   Straight Lines ASA Intersection Study
  80.    wt: 2:   Straight Lines Intersection of
  81.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  82.    wt: 2:   C Straight Lines Slope from Coordinates
  83.    wt: 2:   B Straight Line Slope Scaling Properties More
  84.    wt: 2:   A Straight Line Slope Scaling Properties
  85.    wt: 2:   12 Straight Lines Graphing mx plus b
  86.    wt: 2:   11 Straight Lines Graphing y=mx
  87.    wt: 2:   10 Straight Lines through Origin Equations More
  88.    wt: 2:   9 Straight Lines through Origin Equations
  89.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  90.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  91.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  92.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  93.    wt: 2:   27 Logarithmic use of products of sines and cosines
  94.    wt: 2:   26 Formulas for products of sines and cosines
  95.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  96.    wt: 2:   21 sine and cosine Half Angle Formulas
  97.    wt: 2:   20 sine and cosine Double Angle Formulas
  98.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  99.    wt: 2:   18 sum of sinusoidal waves as a single wave
  100.    wt: 2:   17D cis formulas for sine cosines and tangent
  101.    wt: 2:   17C sine and cosine double triple angle formulas
  102.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  103.    wt: 2:   15 sine cosine Complementary Angle Relations
  104.    wt: 2:   14 cosine even and sine and tangent are odd
  105.    wt: 2:   11 tangent function undefined when terminal side vertical
  106.    wt: 2:   10 Graphs of sines and cosines many periods
  107.    wt: 2:   9 Graphs of sine and cosine over one period
  108.    wt: 2:   7 period of sine and cosine
  109.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  110.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  111.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  112.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  113.    wt: 2:   12 cis formulas for sine cosines and tangent
  114.    wt: 2:   11 sine and cosine double triple angle formulas
  115.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  116.    wt: 2:   3 Trigonometric Ratios sine and cosine
  117.    wt: 2:   4 Similarity Definition with Coordinate
  118.    wt: 2:   2 point slope equation for a line
  119.    wt: 2:   8 Distance Between Points on a Line
  120.    wt: 2:   10 Dropping a perpendicular to line
  121.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  122.    wt: 2:   12 Real Numbers Line Signed Coordinates
  123.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  124.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  125.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  126.    wt: 2:   4 Location of Point in Decimal Addition
  127.    wt: 2:   3 Location of Point in Decimal Multiplication
  128.    wt: 2:   2 Counting Digits in Decimal Multiplication
  129.    wt: 2:   3 Multiplicative Counting Skills Principles
  130.    wt: 2:   2 Combing Counts Addition Skills and Principles
  131.    wt: 2:   1 The Counting Origins of Numbers
  132.    wt: 2:   9 Coordinates for Regions in Space
  133.    wt: 2:   7 Real Numbers as Line Cordinates
  134.    wt: 2:   13 Naming Identifying Formulas with Words
  135.    wt: 2:   7 Compound Interest Formula Introduction
  136.    wt: 2:   1 Written work formats for developing and showing skill
  137.    wt: 2:   1 Counting and Counting Methods I
  138.    wt: 2:   4 signed coordinates for regions in space
  139.    wt: 2:   7 Converting or Changing Units
  140.    wt: 2:   12 Adding Integers More Examples
  141.    wt: 2:   11 Adding Integers Formulas and Examples
  142.    wt: 2:   9 Multiplying Integers
  143.    wt: 2:   1 Integers as Coordinates
  144.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  145.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  146.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  147.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  148.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  149.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  150.    wt: 2:   6. Counting and adding units and mixed units
  151.    wt: 2:   1. Explaining Addition Table
  152.    wt: 2:   012 Division of Time Intervals by Time Intervals
  153.    wt: 2:   8 Addition of Time Intervals via subtotaling
  154.    wt: 2:   4 Mixing and Changing Units of Time
  155.    wt: 2:   4 Definite Integrals Evaluation Exercises
  156.    wt: 2:   29 Chain Rule Optional Reading
  157.    wt: 2:   25 Chain Rule Animated Examples Continued
  158.    wt: 2:   23 Chain Rule in general
  159.    wt: 2:   19 Chain Rule for linear functions
  160.    wt: 2:   18 Chain Rule Introduction
  161.    wt: 2:   17 Derivatives of quotients of sine and cosine
  162.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  163.    wt: 2:   15 sine and cosine derivatives 3rd step
  164.    wt: 2:   14 sine and cosine derivatives 2nd step
  165.    wt: 2:   13 sine and cosine derivatives 1st step
  166.    wt: 2:   11 Limits at infinity Three Examples
  167.    wt: 2:   10 Three one sided limits with infinite values
  168.    wt: 2:   6 Continuity at a point
  169.    wt: 2:   3 Decimal insights for limits continuity convergence
  170.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  171.    wt: 2:   F.4 Finite Covering Theorem
  172.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  173.    wt: 2:   Chapter 16. Painless Theorem Proving
  174.    wt: 2:   Chapter 15. Solving Linear Equations
  175.    wt: 2:   Chapter 10 Describing and Changing Calculations
  176.    wt: 2:   Postscript B Mathematics Education References
  177.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  178.    wt: 2:   Chapter 2 For and Against Mathematics
  179.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  180.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  181.    wt: 2:   O On Learning Mathematics and Science
  182.    wt: 2:   N Improving Marks on Tests and Finals
  183.    wt: 2:   G. Written work formats for developing and showing skill
  184.    wt: 2:   C. Domino effect of being careful
  185.    wt: 2:   Systematic Algebra Skill Development Missing Links
  186.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  187.    wt: 2:   Montreal Basic and Advanced Mathematics Tutoring
  188.    wt: 1:   A Introduction Objectives
  189.    wt: 1:   Skills Chapter 0 Introduction
  190.    wt: 1:   11 pure mathematics
  191.    wt: 1:   9 combinatorics probability sets
  192.    wt: 1:   7 logic review and decimals an odd combination
  193.    wt: 1:   3 Euclidean Geometry Leanly
  194.    wt: 1:   Math Ed if it must be short make it lean effective
  195.    wt: 1:   site origins
  196.    wt: 1:   modern education
  197.    wt: 1:   learning takes time
  198.    wt: 1:   Maps Plans Drawings
  199.    wt: 1:   Secondary Three Mathematics
  200.    wt: 1:   Secondary Two Mathematics
  201.    wt: 1:   Secondary One Mathematics
  202.    wt: 1:   teaching tips
  203.    wt: 1:   mathematics curriculum shifts
  204.    wt: 1:   Lessening Algebra Difficulties
  205.    wt: 1:   04 29 New Mathematics Curriculum
  206.    wt: 1:   three aims for mathematics students
  207.    wt: 1:   Operational Viewpoint to Value
  208.    wt: 1:   formal or informal peer review
  209.    wt: 1:   Four ways to improve education reform
  210.    wt: 1:   How to be a better instructor
  211.    wt: 1:   need for a mixed mathematics curriculum
  212.    wt: 1:   education an empirical art
  213.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  214.    wt: 1:   chapitre 06 00 Chaines de la raison
  215.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  216.    wt: 1:   chapitre 01 00 Introduction
  217.    wt: 1:   deux definitions pour variable
  218.    wt: 1:   3 Like resistors in parallel
  219.    wt: 1:   2 Unlike resistors in parallel01
  220.    wt: 1:   1 Like resistors in series
  221.    wt: 1:   F Unlike Resistors in Series
  222.    wt: 1:   22 Student Centered Highschool Mathematics
  223.    wt: 1:   18 Primary School Mathematics
  224.    wt: 1:   16 Secondary Mathematics Tips
  225.    wt: 1:   15 Counting For Parents
  226.    wt: 1:   12 Goals and Objectives For Mathematics
  227.    wt: 1:   11 Help and Defend Your Child or Teens Education
  228.    wt: 1:   10 Ends values for work study instruction
  229.    wt: 1:   9 Streaming by Student Cooperation
  230.    wt: 1:   4 Learning Takes Time and Effort
  231.    wt: 1:   3 Preparing for Science Studies
  232.    wt: 1:   1 Speaking Skills
  233.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  234.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  235.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  236.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  237.    wt: 1:   23 Inverse Functions
  238.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  239.    wt: 1:   19 Horizontal line rule and method
  240.    wt: 1:   18 Vertical Line Rule and Method
  241.    wt: 1:   17 Function maxima minima and their location
  242.    wt: 1:   14 Surjections Injections Bijections
  243.    wt: 1:   12 Function Domain Recognition Exercises
  244.    wt: 1:   11 Function Domain Range Source and Targets
  245.    wt: 1:   10 Interval Notation
  246.    wt: 1:   9 Set theory term relation possible origins
  247.    wt: 1:   3 Formula or function graphing exercise
  248.    wt: 1:   1 Geometric Introduction of Function Notation
  249.    wt: 1:   5 quadratics completing the square
  250.    wt: 1:   1 quadratics graphing exercises
  251.    wt: 1:   Quadratics in 10 steps
  252.    wt: 1:   11 Growth and Decay in Biology
  253.    wt: 1:   8 Notes for instructors or tutors
  254.    wt: 1:   7 Links Lessons Elsewhere
  255.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  256.    wt: 1:   4 Polynomials Long division linear divisor
  257.    wt: 1:   Rewriting algebraic substitution as function substitutions
  258.    wt: 1:   11 arctan left inverse of tangent Graph
  259.    wt: 1:   9 motivation for name arcsin
  260.    wt: 1:   2 cosine function more properties
  261.    wt: 1:   1 cosine function properties
  262.    wt: 1:   7 Radian Measures in special Triangles
  263.    wt: 1:   1 Degrees and Radians Introduction
  264.    wt: 1:   13 Velocity Vectors in Physics
  265.    wt: 1:   9 Head to Tail Coordinate View
  266.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  267.    wt: 1:   6 Vectors with Coordinates
  268.    wt: 1:   2 Signed Coordinates
  269.    wt: 1:   1 Unsigned Coordinates
  270.    wt: 1:   3 graphing y=f(x c) plus K
  271.    wt: 1:   1 graphing y=f(x a)
  272.    wt: 1:   Parallel Lines and Parallel Transversals
  273.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  274.    wt: 1:   14 Straight Lines Equations General Case
  275.    wt: 1:   8 Straight Lines Equation for vertical
  276.    wt: 1:   7 Tangent Function is odd on this domain
  277.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  278.    wt: 1:   1 Straight Lines Slope Concept
  279.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  280.    wt: 1:   17F Law of cosines
  281.    wt: 1:   1 Unit Points Reflections Rotations
  282.    wt: 1:   16 References and Originality Question
  283.    wt: 1:   14 Law of cosines
  284.    wt: 1:   1 Rectangular Polar Coordinates Review
  285.    wt: 1:   8 Triangles Cascade Problem Solving
  286.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  287.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  288.    wt: 1:   11 Triangle Similarity Missing Side Problem
  289.    wt: 1:   6 Geometric Diagrams in Class
  290.    wt: 1:   3 Similarity by Design with coordinates
  291.    wt: 1:   12 Links Lessons elsewhere
  292.    wt: 1:   10 Midpoint of [a b] and [b a]
  293.    wt: 1:   8 Mid Point Formula
  294.    wt: 1:   4 Equations for lines three forms
  295.    wt: 1:   3 Slope product for perpendicular lines
  296.    wt: 1:   1 Numerical view of lines and their equations
  297.    wt: 1:   12 Spatial Coordinates
  298.    wt: 1:   11 Triangle Inequality
  299.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  300.    wt: 1:   4 Polar Coordinates to and from
  301.    wt: 1:   3 Rectangular Coordinates Review
  302.    wt: 1:   2 Cartesian Coordinates with signs
  303.    wt: 1:   1 Cartesian Coordinates sans signs
  304.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  305.    wt: 1:   PS E Multiplication with Polar Coordinates
  306.    wt: 1:   PS D Addition with Cartesian Coordinates
  307.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  308.    wt: 1:   14 Parallel Lines Postulate
  309.    wt: 1:   1 Initial Concepts and Terms
  310.    wt: 1:   6 Figuring with Maps Not to Scale
  311.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  312.    wt: 1:   2 Measuring Area Directly
  313.    wt: 1:   musings do not puiblish real numbers
  314.    wt: 1:   A Modular and Remainder Arithmetic
  315.    wt: 1:   21 Addition of Multiples of a Single Vector
  316.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  317.    wt: 1:   15 Head to Tails in place Addition Associative
  318.    wt: 1:   13 Arrows and Vectors in a Plane
  319.    wt: 1:   9 Division with Digits after Decimal Point
  320.    wt: 1:   1 Fractions with Finite Decimal Expansions
  321.    wt: 1:   8 Column Multiplication Methods in General
  322.    wt: 1:   4 Commutative Law Groups Counting Form
  323.    wt: 1:   3 Inequalities Algebraically
  324.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  325.    wt: 1:   5 Proportionality in Equivalent Fractions
  326.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  327.    wt: 1:   6 Compound Interest Forward and Backwards
  328.    wt: 1:   3 Linear Equation Literal Solution More
  329.    wt: 1:   2 Linear Equation Literal Solution
  330.    wt: 1:   1 Changing Calculations
  331.    wt: 1:   5 Equality in Algebra
  332.    wt: 1:   5 Greater More Less Than Signs in General
  333.    wt: 1:   12 Real Number Additive Inverses or Negatives
  334.    wt: 1:   8 Coordinates for Maps and Planes
  335.    wt: 1:   2 Integers
  336.    wt: 1:   5 Independent versus Dependent Variables
  337.    wt: 1:   4 Changing Letters
  338.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  339.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  340.    wt: 1:   4 Solving a triangular system exercise
  341.    wt: 1:   3 Solving triangular system example
  342.    wt: 1:   5 Algebraic Solutions Introduction
  343.    wt: 1:   Using Letters for Physical Quantities
  344.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  345.    wt: 1:   8 Compound Interest Formula Evaluation
  346.    wt: 1:   9 Sets in Probability and Statistics
  347.    wt: 1:   3 Counting with Sets etc
  348.    wt: 1:   1 Finite Sets
  349.    wt: 1:   5 Talking about Numbers and Quantities
  350.    wt: 1:   3 Adding Words To Arithmetic
  351.    wt: 1:   4 Greater More Less Than Signs in General
  352.    wt: 1:   1 Squares and Square Roots Introduction
  353.    wt: 1:   2 Least Common Multiple LCM intro via list method
  354.    wt: 1:   1 Least Common Multiples LCM Introduction
  355.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  356.    wt: 1:   4 Counting with Trees Product Rule Take I
  357.    wt: 1:   3 Counting with Tables and Trees II
  358.    wt: 1:   2 Counting with Tables and Trees I
  359.    wt: 1:   10 dividing signed numbers
  360.    wt: 1:   9 subtracting signed numbers
  361.    wt: 1:   8 multiplying signed numbers
  362.    wt: 1:   7 negative and additive inverse
  363.    wt: 1:   6 adding signed numbers
  364.    wt: 1:   3 signed coordinates for maps and planes
  365.    wt: 1:   2 signed and unsigned numbers as coordinates
  366.    wt: 1:   3 Multiplying Units and Numbers
  367.    wt: 1:   21 Working With Signs
  368.    wt: 1:   20 Dividing Fractions the Why
  369.    wt: 1:   19 Dividing Fractions How TO
  370.    wt: 1:   D Remainders Modulo 11 Pair Rule
  371.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  372.    wt: 1:   B Integer Long Division Multiple Choices
  373.    wt: 1:   13 Subtraction with Additive Inverse
  374.    wt: 1:   10 Integer Multiplication Formulas
  375.    wt: 1:   8 Multiplication by Signed Numbers Integers
  376.    wt: 1:   5 Zero Movement and Additive Inverses
  377.    wt: 1:   4 Adding Movements wiht opposite directions
  378.    wt: 1:   3 Adding Movements with same direction
  379.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  380.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  381.    wt: 1:   23 Remainder Arithmetic Modulo 2
  382.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  383.    wt: 1:   21 Remainder Arithmetic Modulo 3
  384.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  385.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  386.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  387.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  388.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  389.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  390.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  391.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  392.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  393.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  394.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  395.    wt: 1:   5 Remainder Arithmetic Modulo 5
  396.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  397.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  398.    wt: 1:   1 Remainder Arithmetic Modulo 10
  399.    wt: 1:   17 Identify and Count Factors using Primes
  400.    wt: 1:   16 video Factors of 980 using prime
  401.    wt: 1:   15 video Factors of 20 using Prime Factorization
  402.    wt: 1:   13 video Factors of 24 using prime
  403.    wt: 1:   12 LCD GCD and LCM using Primes
  404.    wt: 1:   4 video Prime Factorization Introduction
  405.    wt: 1:   11 Another Single Digit Divisor Example
  406.    wt: 1:   8 Correcting the Mistake
  407.    wt: 1:   7 Long Divison Mistake Catching
  408.    wt: 1:   5 Long Division Include Zeroes or not
  409.    wt: 1:   3 Division Single Digit Divisor Example
  410.    wt: 1:   2 Division with Single Digit Divisors
  411.    wt: 1:   C Counting Areas with Powers of Ten
  412.    wt: 1:   Video Power Notation in Decimal Expansion
  413.    wt: 1:   9 22 Minute Subtraction Review Video
  414.    wt: 1:   2 Decimal Counting Practices
  415.    wt: 1:   11 Place Value SI Standard International way
  416.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  417.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  418.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  419.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  420.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  421.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  422.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  423.    wt: 1:   016 Numbering Occidental Calendar Days
  424.    wt: 1:   015 School and work day counting tables
  425.    wt: 1:   014 Counting Days with Calendars
  426.    wt: 1:   011 Division of Time Intervals By Numbers
  427.    wt: 1:   010 Repeated Addition of Time Intervals
  428.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  429.    wt: 1:   7 Addition of Time Intervals
  430.    wt: 1:   2 Time and Date Matters in School
  431.    wt: 1:   1 Intro of Kids To Time Date Skills
  432.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  433.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  434.    wt: 1:   A Related Material in Volume 3
  435.    wt: 1:   3 Two Chain Rule Method Exercises
  436.    wt: 1:   A Related lessons in Volume 3
  437.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  438.    wt: 1:   A Chain Rule Real Player video examples
  439.    wt: 1:   33 Chain Rule Real Player video examples
  440.    wt: 1:   31 Derivatives of inverse functions
  441.    wt: 1:   30Chain Rule A Proof
  442.    wt: 1:   28 Chain Rule Preparation for a Proof
  443.    wt: 1:   24 Chain Rule Animated Examples
  444.    wt: 1:   22 Chain Rule for polynomials
  445.    wt: 1:   21 Chain Rule for powers
  446.    wt: 1:   20 Chain Rule for Pulley Systems
  447.    wt: 1:   10 Power rule for negative integers
  448.    wt: 1:   3 Motivation for Limit Definition Take 2
  449.    wt: 1:   2 Motivation for Limit Definition Take 1
  450.    wt: 1:   9 Limits Continuity and Composition
  451.    wt: 1:   1 Numerical introduction
  452.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  453.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  454.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  455.    wt: 1:   F.5a Equicontinuity Theorems
  456.    wt: 1:   F.3 Intermediate Value Theorem
  457.    wt: 1:   F.1 What Functions are Continuous
  458.    wt: 1:   E1 Error Control Inequalities
  459.    wt: 1:   C Triangle Inequalities
  460.    wt: 1:   PostScript For and Against Decimal Perspectives
  461.    wt: 1:   A1. Introduction
  462.    wt: 1:   index
  463.    wt: 1:   Chapter 23 Links To Trigonometry
  464.    wt: 1:   Chapter 18. Slopes Areas Integration
  465.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  466.    wt: 1:   Chapter 11. Graphing Slope versus Position
  467.    wt: 1:   Chapter 9 About First Courses in Calculus
  468.    wt: 1:   Chapter 8. Slope Interpretation
  469.    wt: 1:   Chapter 1.Introduction
  470.    wt: 1:   Appendix E. How To Study Mathematics and Why
  471.    wt: 1:   Appendix D. What to do in School and Why
  472.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  473.    wt: 1:   Chapter 31 Direct and Indirect Reason
  474.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  475.    wt: 1:   Chapter 25. Mathematical Induction Examples
  476.    wt: 1:   Chapter 25. Mathematical Induction Examples
  477.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  478.    wt: 1:   Chapter 21. Third Reading Guide
  479.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  480.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  481.    wt: 1:   Chapter 13. Second Reading Guide
  482.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  483.    wt: 1:   Chapter 4 Longer Chains of Reason
  484.    wt: 1:   Chapter 3 Chains of Reason
  485.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  486.    wt: 1:   Annotated Links to Material Elsehwere
  487.    wt: 1:   Chapter 11 Elementary Instruction
  488.    wt: 1:   Chapter 8 Modern Instruction
  489.    wt: 1:   Chapter 1 Introduction
  490.    wt: 1:   Postscript B More on Story Telling and Reason
  491.    wt: 1:   Postscript A Story Telling
  492.    wt: 1:   Chapter 24 Direct and Indirect Reason
  493.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  494.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  495.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  496.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  497.    wt: 1:   Chapter 7 Longer Chains of Reason
  498.    wt: 1:   Chapter 6 Chains of Reason
  499.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  500.    wt: 1:   Chapter 1 Introduction
  501.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  502.    wt: 1:   S Adding words to algebra
  503.    wt: 1:   R Why Learn Mathematics Skills
  504.    wt: 1:   N Mathematics Prepare for College Studies
  505.    wt: 1:   J. More on written work and showing skill
  506.    wt: 1:   H Jigsaw puzzles and problem solving
  507.    wt: 1:   B. Domino effect of errors
  508.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  509.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

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  1.    wt: 9:   K LAMP Musings Science Education
  2.    wt: 9:   H LAMP Introduction Instructional Concepts
  3.    wt: 9:   G LAMP Introduction Problem Solving Skills
  4.    wt: 9:   E LAMP Introduction Modern Mathematics
  5.    wt: 8:   I LAMP Introduction Study Habits
  6.    wt: 8:   F LAMP Introduction Prerequisites
  7.    wt: 8:   B LAMP Introduction Curriculum Development Standards
  8.    wt: 8:   Ramblings Extrinsic numbers theory
  9.    wt: 8:   Ramblings Introduction Algebra Essay
  10.    wt: 7:   A Introduction Objectives
  11.    wt: 7:   Skills Chapter 0 Introduction
  12.    wt: 6:   Appendix 2 primary school Arithmetic 01
  13.    wt: 6:   Appendix 1 primary and preschool mathematic
  14.    wt: 6:   Skills Chapter 5 Calculus
  15.    wt: 6:   Skills Chapter 4 Logic
  16.    wt: 6:   Skills Chapter 3 Algebra
  17.    wt: 6:   Skills Chapter 2 Geometry
  18.    wt: 6:   Skills Chapter 1 Arithmetic
  19.    wt: 6:   links Education Resources online
  20.    wt: 6:   mathematics instruction in general
  21.    wt: 6:   Education in mathematics science and technology
  22.    wt: 6:   Different Kinds of Reasoning in maths
  23.    wt: 6:   three kinds of reason in mathematics
  24.    wt: 6:   fairness and inductive principles for instruction
  25.    wt: 6:   Straight Lines Instersection Solving Equations
  26.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  27.    wt: 5:   Applied Maths Program14092009 POMME variant
  28.    wt: 5:   Mathematics Education Professors
  29.    wt: 5:   grouping students according to ability
  30.    wt: 5:   mathematics in context
  31.    wt: 5:   Education Reform Inconsistencies
  32.    wt: 5:   teaching tutoring algebraic reason
  33.    wt: 5:   three goals for Mathematics Education
  34.    wt: 5:   02 20 mathematics education references
  35.    wt: 5:   cultivating intelligence
  36.    wt: 5:   Leaner mathematics curriculum
  37.    wt: 5:   Prequel In For A Penny In For A Pound
  38.    wt: 5:   words for mathematics instructor
  39.    wt: 5:   7 arcsin left inverse of sine Definition
  40.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  41.    wt: 5:   Straight Lines ASA Intersection Study More
  42.    wt: 5:   Straight Lines ASA Intersection Study
  43.    wt: 5:   Straight Lines Intersection of
  44.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  45.    wt: 5:   6 Intersection of lines by solving linear systems
  46.    wt: 5:   3 Multiplicative Counting Skills Principles
  47.    wt: 5:   2 Combing Counts Addition Skills and Principles
  48.    wt: 5:   1 The Counting Origins of Numbers
  49.    wt: 5:   7 Adding decimal fractions using decimal point
  50.    wt: 5:   Helping the Blind in Logic and Mathematics
  51.    wt: 4:   11 pure mathematics
  52.    wt: 4:   9 combinatorics probability sets
  53.    wt: 4:   7 logic review and decimals an odd combination
  54.    wt: 4:   3 Euclidean Geometry Leanly
  55.    wt: 4:   Math Ed if it must be short make it lean effective
  56.    wt: 4:   site origins
  57.    wt: 4:   modern education
  58.    wt: 4:   learning takes time
  59.    wt: 4:   Maps Plans Drawings
  60.    wt: 4:   Secondary Three Mathematics
  61.    wt: 4:   Secondary Two Mathematics
  62.    wt: 4:   Secondary One Mathematics
  63.    wt: 4:   teaching tips
  64.    wt: 4:   mathematics curriculum shifts
  65.    wt: 4:   Lessening Algebra Difficulties
  66.    wt: 4:   04 29 New Mathematics Curriculum
  67.    wt: 4:   three aims for mathematics students
  68.    wt: 4:   Operational Viewpoint to Value
  69.    wt: 4:   formal or informal peer review
  70.    wt: 4:   Four ways to improve education reform
  71.    wt: 4:   How to be a better instructor
  72.    wt: 4:   need for a mixed mathematics curriculum
  73.    wt: 4:   education an empirical art
  74.    wt: 4:   16 Increasing or decreasing on intervals
  75.    wt: 4:   8 arcsin left inverse of sine Graph
  76.    wt: 4:   3 Left Inverse of cosine arccos definition
  77.    wt: 4:   4 graphing y=Asin(x c)
  78.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  79.    wt: 4:   Parallel Lines and Alternating Corresponding Angles
  80.    wt: 4:   3 Straight Lines Slope as Tangent of Inclination Angle
  81.    wt: 4:   9 Midpoint Coordinates Half Endpoint Sum
  82.    wt: 4:   8 Column Multiplication Methods in General
  83.    wt: 4:   4 Commutative Law Groups Counting Form
  84.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  85.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  86.    wt: 4:   4 Solving a triangular system exercise
  87.    wt: 4:   3 Solving triangular system example
  88.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  89.    wt: 4:   6. Counting and adding units and mixed units
  90.    wt: 4:   1. Explaining Addition Table
  91.    wt: 4:   2 Indefinite Integrals Exercises
  92.    wt: 4:   1 Chain Rule in Reverse Integration Method
  93.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  94.    wt: 4:   26 Chain Rule Recognising outer inner functions
  95.    wt: 3:   10 statistics
  96.    wt: 3:   8 analytic geometry etc
  97.    wt: 3:   6 polynomials etc
  98.    wt: 3:   5 logarithms and exponentials etc
  99.    wt: 3:   4 algebra
  100.    wt: 3:   2 arithmetic with signed numbers
  101.    wt: 3:   1 arithmetic with unsigned numbers
  102.    wt: 3:   What is POMME
  103.    wt: 3:   why bother
  104.    wt: 3:   which way to go
  105.    wt: 3:   website reviews
  106.    wt: 3:   three goals to set for students
  107.    wt: 3:   Teach the teachers plus goals
  108.    wt: 3:   permissions for teachers
  109.    wt: 3:   activities for students
  110.    wt: 3:   site eurekas
  111.    wt: 3:   About site lesson plans
  112.    wt: 3:   key notes and themes
  113.    wt: 3:   teacher certification
  114.    wt: 3:   what should be learnt and When
  115.    wt: 3:   Postscript 2007 01 10
  116.    wt: 3:   five decades make a difference
  117.    wt: 3:   how letters appear
  118.    wt: 3:   talk the algebra talk
  119.    wt: 3:   three difficulties
  120.    wt: 3:   What to Tell Students
  121.    wt: 3:   geometric implications for algebra
  122.    wt: 3:   the trouble with algebra
  123.    wt: 3:   05 13 OldSiteEntrancePage
  124.    wt: 3:   04 25 when to stop or suspend mathemat
  125.    wt: 3:   02 21 words for teachers
  126.    wt: 3:   standards for course material
  127.    wt: 3:   Theory of Knowledge
  128.    wt: 3:   Motivation and Context Problem
  129.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  130.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  131.    wt: 3:   20 Interchanging coordinates a reflection
  132.    wt: 3:   16 cotangent function Definition Graph and Inverse
  133.    wt: 3:   15 cosecant function Definition Graph and Inverse
  134.    wt: 3:   14 secant function Definition Graph and Inverse
  135.    wt: 3:   13 cosecant function Definition Graph and Inverse
  136.    wt: 3:   10 arctan left inverse of tangent Definition
  137.    wt: 3:   5 Swapping Coordinates is a reflection
  138.    wt: 3:   3 graphing y=f(x c) plus K
  139.    wt: 3:   1 graphing y=f(x a)
  140.    wt: 3:   Parallel Lines and Interior Angles
  141.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  142.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  143.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  144.    wt: 3:   C Straight Lines Slope from Coordinates
  145.    wt: 3:   B Straight Line Slope Scaling Properties More
  146.    wt: 3:   A Straight Line Slope Scaling Properties
  147.    wt: 3:   12 Straight Lines Graphing mx plus b
  148.    wt: 3:   11 Straight Lines Graphing y=mx
  149.    wt: 3:   10 Straight Lines through Origin Equations More
  150.    wt: 3:   9 Straight Lines through Origin Equations
  151.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  152.    wt: 3:   28 Expressing products of sines cosines as sums
  153.    wt: 3:   2 point slope equation for a line
  154.    wt: 3:   8 Distance Between Points on a Line
  155.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  156.    wt: 3:   12 Real Numbers Line Signed Coordinates
  157.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  158.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  159.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  160.    wt: 3:   4 Location of Point in Decimal Addition
  161.    wt: 3:   3 Location of Point in Decimal Multiplication
  162.    wt: 3:   2 Counting Digits in Decimal Multiplication
  163.    wt: 3:   E Long Division Methods more
  164.    wt: 3:   D Long Division Methods
  165.    wt: 3:   C Three Decimal Subtraction Methods
  166.    wt: 3:   B Decimal Comparison and Subtraction
  167.    wt: 3:   A Decimal Addition Columm Methods
  168.    wt: 3:   7 Decimals Multiplication Methods Examples
  169.    wt: 3:   6 Column Methods for Decimal Multiplication
  170.    wt: 3:   5 Distributive Law for Whole Numbers
  171.    wt: 3:   4 GE III Animated Examples
  172.    wt: 3:   3 GE III Equation Addition and Multiplication
  173.    wt: 3:   2 GE II Comparison
  174.    wt: 3:   1 GE Substitution four examples
  175.    wt: 3:   2 Essentially one exercises three with solution
  176.    wt: 3:   1 Essentially One Unknown
  177.    wt: 3:   5 Algebraic Solutions Introduction
  178.    wt: 3:   Using Letters for Physical Quantities
  179.    wt: 3:   1 Counting and Counting Methods I
  180.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  181.    wt: 3:   14 Adding and Subtracting with Like Denominators
  182.    wt: 3:   12 Adding Integers More Examples
  183.    wt: 3:   11 Adding Integers Formulas and Examples
  184.    wt: 3:   9 Multiplying Integers
  185.    wt: 3:   1 Integers as Coordinates
  186.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  187.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  188.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  189.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  190.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  191.    wt: 3:   9 22 Minute Subtraction Review Video
  192.    wt: 3:   2 Decimal Counting Practices
  193.    wt: 3:   4 Definite Integrals Evaluation Exercises
  194.    wt: 3:   29 Chain Rule Optional Reading
  195.    wt: 3:   25 Chain Rule Animated Examples Continued
  196.    wt: 3:   23 Chain Rule in general
  197.    wt: 3:   19 Chain Rule for linear functions
  198.    wt: 3:   18 Chain Rule Introduction
  199.    wt: 3:   17 Derivatives of quotients of sine and cosine
  200.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  201.    wt: 3:   15 sine and cosine derivatives 3rd step
  202.    wt: 3:   14 sine and cosine derivatives 2nd step
  203.    wt: 3:   13 sine and cosine derivatives 1st step
  204.    wt: 3:   11 Limits at infinity Three Examples
  205.    wt: 3:   10 Three one sided limits with infinite values
  206.    wt: 3:   6 Continuity at a point
  207.    wt: 3:   3 Decimal insights for limits continuity convergence
  208.    wt: 3:   Postscript B Mathematics Education References
  209.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  210.    wt: 3:   Chapter 2 For and Against Mathematics
  211.    wt: 3:   H more Routine to non routine problem solving
  212.    wt: 3:   Systematic Algebra Skill Development Missing Links
  213.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  214.    wt: 2:   chapitre 07 01 principle D induction mathematique
  215.    wt: 2:   Home Tutoring and Home Schooling
  216.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  217.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  218.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  219.    wt: 2:   2 Reading and Writing Skills
  220.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  221.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  222.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  223.    wt: 2:   26 Function definitions done and coming
  224.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  225.    wt: 2:   7 Functions with finite domains
  226.    wt: 2:   4 Function notation in and beyond mathematics
  227.    wt: 2:   Introduction Reading Guide
  228.    wt: 2:   3 quadratics factoring by inspection
  229.    wt: 2:   2 quadratics graphing in general
  230.    wt: 2:   11 arctan left inverse of tangent Graph
  231.    wt: 2:   9 motivation for name arcsin
  232.    wt: 2:   2 cosine function more properties
  233.    wt: 2:   1 cosine function properties
  234.    wt: 2:   12 From Applied To Pure Mathematics
  235.    wt: 2:   Parallel Lines and Parallel Transversals
  236.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  237.    wt: 2:   14 Straight Lines Equations General Case
  238.    wt: 2:   8 Straight Lines Equation for vertical
  239.    wt: 2:   7 Tangent Function is odd on this domain
  240.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  241.    wt: 2:   1 Straight Lines Slope Concept
  242.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  243.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  244.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  245.    wt: 2:   27 Logarithmic use of products of sines and cosines
  246.    wt: 2:   26 Formulas for products of sines and cosines
  247.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  248.    wt: 2:   21 sine and cosine Half Angle Formulas
  249.    wt: 2:   20 sine and cosine Double Angle Formulas
  250.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  251.    wt: 2:   18 sum of sinusoidal waves as a single wave
  252.    wt: 2:   17D cis formulas for sine cosines and tangent
  253.    wt: 2:   17C sine and cosine double triple angle formulas
  254.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  255.    wt: 2:   15 sine cosine Complementary Angle Relations
  256.    wt: 2:   14 cosine even and sine and tangent are odd
  257.    wt: 2:   11 tangent function undefined when terminal side vertical
  258.    wt: 2:   10 Graphs of sines and cosines many periods
  259.    wt: 2:   9 Graphs of sine and cosine over one period
  260.    wt: 2:   7 period of sine and cosine
  261.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  262.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  263.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  264.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  265.    wt: 2:   12 cis formulas for sine cosines and tangent
  266.    wt: 2:   11 sine and cosine double triple angle formulas
  267.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  268.    wt: 2:   3 Trigonometric Ratios sine and cosine
  269.    wt: 2:   4 Similarity Definition with Coordinate
  270.    wt: 2:   12 Links Lessons elsewhere
  271.    wt: 2:   10 Midpoint of [a b] and [b a]
  272.    wt: 2:   8 Mid Point Formula
  273.    wt: 2:   4 Equations for lines three forms
  274.    wt: 2:   3 Slope product for perpendicular lines
  275.    wt: 2:   1 Numerical view of lines and their equations
  276.    wt: 2:   12 Spatial Coordinates
  277.    wt: 2:   11 Triangle Inequality
  278.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  279.    wt: 2:   4 Polar Coordinates to and from
  280.    wt: 2:   3 Rectangular Coordinates Review
  281.    wt: 2:   2 Cartesian Coordinates with signs
  282.    wt: 2:   1 Cartesian Coordinates sans signs
  283.    wt: 2:   10 Dropping a perpendicular to line
  284.    wt: 2:   musings do not puiblish real numbers
  285.    wt: 2:   A Modular and Remainder Arithmetic
  286.    wt: 2:   21 Addition of Multiples of a Single Vector
  287.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  288.    wt: 2:   15 Head to Tails in place Addition Associative
  289.    wt: 2:   13 Arrows and Vectors in a Plane
  290.    wt: 2:   9 Division with Digits after Decimal Point
  291.    wt: 2:   1 Fractions with Finite Decimal Expansions
  292.    wt: 2:   3 Inequalities Algebraically
  293.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  294.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  295.    wt: 2:   6 Compound Interest Forward and Backwards
  296.    wt: 2:   3 Linear Equation Literal Solution More
  297.    wt: 2:   2 Linear Equation Literal Solution
  298.    wt: 2:   1 Changing Calculations
  299.    wt: 2:   5 Greater More Less Than Signs in General
  300.    wt: 2:   9 Coordinates for Regions in Space
  301.    wt: 2:   7 Real Numbers as Line Cordinates
  302.    wt: 2:   More Exercises
  303.    wt: 2:   Simple Exercises
  304.    wt: 2:   6 Algebraic Solution Example
  305.    wt: 2:   4 Four Examples Fractional Coefficients
  306.    wt: 2:   3 Four Examples
  307.    wt: 2:   2 Three Examples
  308.    wt: 2:   1 Proper Equal Sign Usage
  309.    wt: 2:   Skill Development Notes
  310.    wt: 2:   10 One Example
  311.    wt: 2:   9 Three Examples
  312.    wt: 2:   8 One Example
  313.    wt: 2:   7 Two Examples
  314.    wt: 2:   6 Three Examples
  315.    wt: 2:   5 Three Examples
  316.    wt: 2:   4 Two Examples
  317.    wt: 2:   3 Two Examples
  318.    wt: 2:   2 Three Examples
  319.    wt: 2:   Formula Usage Show Work Format
  320.    wt: 2:   13 Naming Identifying Formulas with Words
  321.    wt: 2:   7 Compound Interest Formula Introduction
  322.    wt: 2:   1 Written work formats for developing and showing skill
  323.    wt: 2:   9 Sets in Probability and Statistics
  324.    wt: 2:   3 Counting with Sets etc
  325.    wt: 2:   1 Finite Sets
  326.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  327.    wt: 2:   4 Counting with Trees Product Rule Take I
  328.    wt: 2:   3 Counting with Tables and Trees II
  329.    wt: 2:   2 Counting with Tables and Trees I
  330.    wt: 2:   4 signed coordinates for regions in space
  331.    wt: 2:   7 Converting or Changing Units
  332.    wt: 2:   D Remainders Modulo 11 Pair Rule
  333.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  334.    wt: 2:   B Integer Long Division Multiple Choices
  335.    wt: 2:   13 Subtraction with Additive Inverse
  336.    wt: 2:   10 Integer Multiplication Formulas
  337.    wt: 2:   8 Multiplication by Signed Numbers Integers
  338.    wt: 2:   5 Zero Movement and Additive Inverses
  339.    wt: 2:   4 Adding Movements wiht opposite directions
  340.    wt: 2:   3 Adding Movements with same direction
  341.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  342.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  343.    wt: 2:   23 Remainder Arithmetic Modulo 2
  344.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  345.    wt: 2:   21 Remainder Arithmetic Modulo 3
  346.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  347.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  348.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  349.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  350.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  351.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  352.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  353.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  354.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  355.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  356.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  357.    wt: 2:   5 Remainder Arithmetic Modulo 5
  358.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  359.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  360.    wt: 2:   1 Remainder Arithmetic Modulo 10
  361.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  362.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  363.    wt: 2:   Subtraction with J Conversions Example
  364.    wt: 2:   Subtraction Another Video Lesson
  365.    wt: 2:   8 Subtraction with Units of Measure
  366.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  367.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  368.    wt: 2:   5 A Tip for Efficent Subtraction
  369.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  370.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  371.    wt: 2:   2 Subtraction Easy Case Examples
  372.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  373.    wt: 2:   8 What skills and work habits to require
  374.    wt: 2:   5. How to add decimals C. Examples
  375.    wt: 2:   4. How to add with decimals B with conversions
  376.    wt: 2:   3. How to add with decimals A sans conversions
  377.    wt: 2:   012 Division of Time Intervals by Time Intervals
  378.    wt: 2:   8 Addition of Time Intervals via subtotaling
  379.    wt: 2:   4 Mixing and Changing Units of Time
  380.    wt: 2:   A Related Material in Volume 3
  381.    wt: 2:   3 Two Chain Rule Method Exercises
  382.    wt: 2:   A Related lessons in Volume 3
  383.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  384.    wt: 2:   A Chain Rule Real Player video examples
  385.    wt: 2:   33 Chain Rule Real Player video examples
  386.    wt: 2:   31 Derivatives of inverse functions
  387.    wt: 2:   30Chain Rule A Proof
  388.    wt: 2:   28 Chain Rule Preparation for a Proof
  389.    wt: 2:   24 Chain Rule Animated Examples
  390.    wt: 2:   22 Chain Rule for polynomials
  391.    wt: 2:   21 Chain Rule for powers
  392.    wt: 2:   20 Chain Rule for Pulley Systems
  393.    wt: 2:   10 Power rule for negative integers
  394.    wt: 2:   3 Motivation for Limit Definition Take 2
  395.    wt: 2:   2 Motivation for Limit Definition Take 1
  396.    wt: 2:   9 Limits Continuity and Composition
  397.    wt: 2:   1 Numerical introduction
  398.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  399.    wt: 2:   F.4 Finite Covering Theorem
  400.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  401.    wt: 2:   Chapter 23 Links To Trigonometry
  402.    wt: 2:   Chapter 18. Slopes Areas Integration
  403.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  404.    wt: 2:   Chapter 11. Graphing Slope versus Position
  405.    wt: 2:   Chapter 9 About First Courses in Calculus
  406.    wt: 2:   Chapter 8. Slope Interpretation
  407.    wt: 2:   Chapter 1.Introduction
  408.    wt: 2:   Chapter 16. Painless Theorem Proving
  409.    wt: 2:   Chapter 15. Solving Linear Equations
  410.    wt: 2:   Chapter 10 Describing and Changing Calculations
  411.    wt: 2:   Annotated Links to Material Elsehwere
  412.    wt: 2:   Chapter 11 Elementary Instruction
  413.    wt: 2:   Chapter 8 Modern Instruction
  414.    wt: 2:   Chapter 1 Introduction
  415.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  416.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  417.    wt: 2:   O On Learning Mathematics and Science
  418.    wt: 2:   N Improving Marks on Tests and Finals
  419.    wt: 2:   G. Written work formats for developing and showing skill
  420.    wt: 2:   C. Domino effect of being careful
  421.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  422.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  423.    wt: 2:   Montreal Basic and Advanced Mathematics Tutoring
  424.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  425.    wt: 1:   chapitre 06 00 Chaines de la raison
  426.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  427.    wt: 1:   chapitre 01 00 Introduction
  428.    wt: 1:   deux definitions pour variable
  429.    wt: 1:   3 Like resistors in parallel
  430.    wt: 1:   2 Unlike resistors in parallel01
  431.    wt: 1:   1 Like resistors in series
  432.    wt: 1:   F Unlike Resistors in Series
  433.    wt: 1:   22 Student Centered Highschool Mathematics
  434.    wt: 1:   18 Primary School Mathematics
  435.    wt: 1:   16 Secondary Mathematics Tips
  436.    wt: 1:   15 Counting For Parents
  437.    wt: 1:   12 Goals and Objectives For Mathematics
  438.    wt: 1:   11 Help and Defend Your Child or Teens Education
  439.    wt: 1:   10 Ends values for work study instruction
  440.    wt: 1:   9 Streaming by Student Cooperation
  441.    wt: 1:   4 Learning Takes Time and Effort
  442.    wt: 1:   3 Preparing for Science Studies
  443.    wt: 1:   1 Speaking Skills
  444.    wt: 1:   Ages 12 to 14 Skills with take home value
  445.    wt: 1:   Ages 12 to 14 Geometry
  446.    wt: 1:   Ages 12 to 14 Arithmetic
  447.    wt: 1:   Ages 10 to 12 Geometry
  448.    wt: 1:   Ages 10 to 12 Arithmetic
  449.    wt: 1:   Ages 9 to 10
  450.    wt: 1:   Ages 8 to 9
  451.    wt: 1:   Ages 7 to 8
  452.    wt: 1:   Ages 6 to 7
  453.    wt: 1:   Ages 4 plus to 5 plus
  454.    wt: 1:   Ages 3 plus to 4 plus
  455.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  456.    wt: 1:   23 Inverse Functions
  457.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  458.    wt: 1:   19 Horizontal line rule and method
  459.    wt: 1:   18 Vertical Line Rule and Method
  460.    wt: 1:   17 Function maxima minima and their location
  461.    wt: 1:   14 Surjections Injections Bijections
  462.    wt: 1:   12 Function Domain Recognition Exercises
  463.    wt: 1:   11 Function Domain Range Source and Targets
  464.    wt: 1:   10 Interval Notation
  465.    wt: 1:   9 Set theory term relation possible origins
  466.    wt: 1:   3 Formula or function graphing exercise
  467.    wt: 1:   1 Geometric Introduction of Function Notation
  468.    wt: 1:   5 quadratics completing the square
  469.    wt: 1:   1 quadratics graphing exercises
  470.    wt: 1:   Quadratics in 10 steps
  471.    wt: 1:   11 Growth and Decay in Biology
  472.    wt: 1:   8 Notes for instructors or tutors
  473.    wt: 1:   7 Links Lessons Elsewhere
  474.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  475.    wt: 1:   4 Polynomials Long division linear divisor
  476.    wt: 1:   Rewriting algebraic substitution as function substitutions
  477.    wt: 1:   12 motivation for term arctan
  478.    wt: 1:   6 Graph of arccos function
  479.    wt: 1:   4 possible motivation for term arccos
  480.    wt: 1:   7 Radian Measures in special Triangles
  481.    wt: 1:   1 Degrees and Radians Introduction
  482.    wt: 1:   13 Velocity Vectors in Physics
  483.    wt: 1:   9 Head to Tail Coordinate View
  484.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  485.    wt: 1:   6 Vectors with Coordinates
  486.    wt: 1:   2 Signed Coordinates
  487.    wt: 1:   1 Unsigned Coordinates
  488.    wt: 1:   Triangle Angles Sum To 180 Degrees
  489.    wt: 1:   5 Tangent Function Graph
  490.    wt: 1:   4 Tangent Function Properties
  491.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  492.    wt: 1:   17F Law of cosines
  493.    wt: 1:   1 Unit Points Reflections Rotations
  494.    wt: 1:   16 References and Originality Question
  495.    wt: 1:   14 Law of cosines
  496.    wt: 1:   1 Rectangular Polar Coordinates Review
  497.    wt: 1:   8 Triangles Cascade Problem Solving
  498.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  499.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  500.    wt: 1:   11 Triangle Similarity Missing Side Problem
  501.    wt: 1:   6 Geometric Diagrams in Class
  502.    wt: 1:   3 Similarity by Design with coordinates
  503.    wt: 1:   Four Simple Exercises
  504.    wt: 1:   11 A Partial Summary
  505.    wt: 1:   7 Exercises to test skill and concept mastery
  506.    wt: 1:   5 Algebraic View of Slopes
  507.    wt: 1:   What is and is not here
  508.    wt: 1:   13 Pythagorean spatial distance formulas
  509.    wt: 1:   10 Pythagorean plane distance formula
  510.    wt: 1:   7 Complex Numbers Appetizer
  511.    wt: 1:   6 Polar Multiplication and Rotation
  512.    wt: 1:   5 Cartesian Addition and Translation
  513.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  514.    wt: 1:   PS E Multiplication with Polar Coordinates
  515.    wt: 1:   PS D Addition with Cartesian Coordinates
  516.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  517.    wt: 1:   14 Parallel Lines Postulate
  518.    wt: 1:   1 Initial Concepts and Terms
  519.    wt: 1:   6 Figuring with Maps Not to Scale
  520.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  521.    wt: 1:   2 Measuring Area Directly
  522.    wt: 1:   A Signed Number Arithmetic Review
  523.    wt: 1:   26 More Less Greater Than Comparison
  524.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  525.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  526.    wt: 1:   23 Distributive Law Two Derivations
  527.    wt: 1:   22 Multiplication of Signed Numbers
  528.    wt: 1:   19 Signed Multiples of Vectors
  529.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  530.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  531.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  532.    wt: 1:   11 Signed Number Addition and Addition Properties
  533.    wt: 1:   8 Division and Mulplication of Compound Fractions
  534.    wt: 1:   5 Areas of Rectangles Revisited
  535.    wt: 1:   4 Fraction Operations Axiomatic Development
  536.    wt: 1:   2 Fraction Operations Physical Development
  537.    wt: 1:   5 Proportionality in Equivalent Fractions
  538.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  539.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  540.    wt: 1:   5 Triangle Area Formula Backwards
  541.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  542.    wt: 1:   5 Equality in Algebra
  543.    wt: 1:   4 Comparison of Negative Numbers
  544.    wt: 1:   3 More and Less Than with Unlike Signs
  545.    wt: 1:   2 More and Less Than for Counts and Measures
  546.    wt: 1:   1 Real Numbers Comparison
  547.    wt: 1:   12 Real Number Additive Inverses or Negatives
  548.    wt: 1:   8 Coordinates for Maps and Planes
  549.    wt: 1:   2 Integers
  550.    wt: 1:   5 Independent versus Dependent Variables
  551.    wt: 1:   4 Changing Letters
  552.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  553.    wt: 1:   8 Compound Interest Formula Evaluation
  554.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  555.    wt: 1:   8 Sets of Numbers
  556.    wt: 1:   7 Cautious or Safe Set Construction
  557.    wt: 1:   6 Power Set Notation
  558.    wt: 1:   5 Product Builder Notation
  559.    wt: 1:   4 Subset Builder Notation
  560.    wt: 1:   2 Venn Diagrams
  561.    wt: 1:   5 Talking about Numbers and Quantities
  562.    wt: 1:   3 Adding Words To Arithmetic
  563.    wt: 1:   4 Greater More Less Than Signs in General
  564.    wt: 1:   1 Squares and Square Roots Introduction
  565.    wt: 1:   2 Least Common Multiple LCM intro via list method
  566.    wt: 1:   1 Least Common Multiples LCM Introduction
  567.    wt: 1:   10 dividing signed numbers
  568.    wt: 1:   9 subtracting signed numbers
  569.    wt: 1:   8 multiplying signed numbers
  570.    wt: 1:   7 negative and additive inverse
  571.    wt: 1:   6 adding signed numbers
  572.    wt: 1:   3 signed coordinates for maps and planes
  573.    wt: 1:   2 signed and unsigned numbers as coordinates
  574.    wt: 1:   3 Multiplying Units and Numbers
  575.    wt: 1:   21 Working With Signs
  576.    wt: 1:   20 Dividing Fractions the Why
  577.    wt: 1:   19 Dividing Fractions How TO
  578.    wt: 1:   A Associative Law Theorectical Note
  579.    wt: 1:   7 Multiplication by Signs
  580.    wt: 1:   6 Multiplication by Natural Numbers
  581.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  582.    wt: 1:   26 Divisibility by 2 3 5 Example
  583.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  584.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  585.    wt: 1:   17 Identify and Count Factors using Primes
  586.    wt: 1:   16 video Factors of 980 using prime
  587.    wt: 1:   15 video Factors of 20 using Prime Factorization
  588.    wt: 1:   13 video Factors of 24 using prime
  589.    wt: 1:   12 LCD GCD and LCM using Primes
  590.    wt: 1:   4 video Prime Factorization Introduction
  591.    wt: 1:   11 Another Single Digit Divisor Example
  592.    wt: 1:   8 Correcting the Mistake
  593.    wt: 1:   7 Long Divison Mistake Catching
  594.    wt: 1:   5 Long Division Include Zeroes or not
  595.    wt: 1:   3 Division Single Digit Divisor Example
  596.    wt: 1:   2 Division with Single Digit Divisors
  597.    wt: 1:   C Counting Areas with Powers of Ten
  598.    wt: 1:   Video Power Notation in Decimal Expansion
  599.    wt: 1:   11 Place Value SI Standard International way
  600.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  601.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  602.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  603.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  604.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  605.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  606.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  607.    wt: 1:   016 Numbering Occidental Calendar Days
  608.    wt: 1:   015 School and work day counting tables
  609.    wt: 1:   014 Counting Days with Calendars
  610.    wt: 1:   011 Division of Time Intervals By Numbers
  611.    wt: 1:   010 Repeated Addition of Time Intervals
  612.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  613.    wt: 1:   7 Addition of Time Intervals
  614.    wt: 1:   2 Time and Date Matters in School
  615.    wt: 1:   1 Intro of Kids To Time Date Skills
  616.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  617.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  618.    wt: 1:   5 Area Under Curve Exercise
  619.    wt: 1:   4 Second derivative test exercise example
  620.    wt: 1:   3 Second derivative test
  621.    wt: 1:   2 Second derivative test prequel
  622.    wt: 1:   38 Formulas and derivatives for powers and roots
  623.    wt: 1:   36 Cube root derivative animated
  624.    wt: 1:   34 Derivative of exponential function
  625.    wt: 1:   12 Quotient rule examples
  626.    wt: 1:   11 Quotient rule
  627.    wt: 1:   9 Reciprocal rule
  628.    wt: 1:   8 Differentiation of polynomials
  629.    wt: 1:   7 Animated Differentiation Examples
  630.    wt: 1:   6 Power rule from product rule
  631.    wt: 1:   5 Product Rule
  632.    wt: 1:   4 Sum Rule
  633.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  634.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  635.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  636.    wt: 1:   8 Four Animated Examples
  637.    wt: 1:   7 Evaluation by immediate or delayed substitution
  638.    wt: 1:   5 Jumps and absence of unlimited error control
  639.    wt: 1:   4 Numerical properties
  640.    wt: 1:   2 Algebraic codification
  641.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  642.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  643.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  644.    wt: 1:   F.5a Equicontinuity Theorems
  645.    wt: 1:   F.3 Intermediate Value Theorem
  646.    wt: 1:   F.1 What Functions are Continuous
  647.    wt: 1:   E1 Error Control Inequalities
  648.    wt: 1:   C Triangle Inequalities
  649.    wt: 1:   PostScript For and Against Decimal Perspectives
  650.    wt: 1:   A1. Introduction
  651.    wt: 1:   index
  652.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  653.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  654.    wt: 1:   Chapter 22 Complex Numbers
  655.    wt: 1:   Chapter 21 Arrow Addition
  656.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  657.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  658.    wt: 1:   Chapter 17. Area Approximation
  659.    wt: 1:   Chapter 16. Velocity Approximation
  660.    wt: 1:   Chapter 15. Slope Approximation
  661.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  662.    wt: 1:   Chapter 13. Acceleration
  663.    wt: 1:   Chapter 12. Units and Slopes
  664.    wt: 1:   Chapter 10 Slopes and Units
  665.    wt: 1:   Chapter 7 Slopes and Velocity
  666.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  667.    wt: 1:   Chapter 5. Slope Sign Tests
  668.    wt: 1:   Chapter 4. More Slope Sign Analysis
  669.    wt: 1:   Chapter 3. Slope Sign Analysis
  670.    wt: 1:   Chapter 2. Slopes and Ski Trails
  671.    wt: 1:   Fall 1983 Calculus Appetizer
  672.    wt: 1:   Foreword
  673.    wt: 1:   Appendix E. How To Study Mathematics and Why
  674.    wt: 1:   Appendix D. What to do in School and Why
  675.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  676.    wt: 1:   Chapter 31 Direct and Indirect Reason
  677.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  678.    wt: 1:   Chapter 25. Mathematical Induction Examples
  679.    wt: 1:   Chapter 25. Mathematical Induction Examples
  680.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  681.    wt: 1:   Chapter 21. Third Reading Guide
  682.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  683.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  684.    wt: 1:   Chapter 13. Second Reading Guide
  685.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  686.    wt: 1:   Chapter 4 Longer Chains of Reason
  687.    wt: 1:   Chapter 3 Chains of Reason
  688.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  689.    wt: 1:   Postscript A Three Remarks
  690.    wt: 1:   Chapter 12 Four Phases
  691.    wt: 1:   Chapter 10 Transition
  692.    wt: 1:   Chapter 9 The Two Ends
  693.    wt: 1:   Chapter 7 Two Treatments of Geometry
  694.    wt: 1:   Chapter 5 Four References
  695.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  696.    wt: 1:   Chapter 3 Algebra Difficulties
  697.    wt: 1:   Foreword
  698.    wt: 1:   Postscript B More on Story Telling and Reason
  699.    wt: 1:   Postscript A Story Telling
  700.    wt: 1:   Chapter 24 Direct and Indirect Reason
  701.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  702.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  703.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  704.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  705.    wt: 1:   Chapter 7 Longer Chains of Reason
  706.    wt: 1:   Chapter 6 Chains of Reason
  707.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  708.    wt: 1:   Chapter 1 Introduction
  709.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  710.    wt: 1:   S Adding words to algebra
  711.    wt: 1:   R Why Learn Mathematics Skills
  712.    wt: 1:   N Mathematics Prepare for College Studies
  713.    wt: 1:   J. More on written work and showing skill
  714.    wt: 1:   H Jigsaw puzzles and problem solving
  715.    wt: 1:   B. Domino effect of errors
  716.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  717.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  718.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  719.    wt: 1:   Implementation Notes
  720.    wt: 1:   More Algebra and Slope based Calculus Preview
  721.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  722.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  723.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  724.    wt: 1:   Which Way To Go
  725.    wt: 12:   C LAMP Introduction Culture in Mathematics Education
  726.    wt: 10:   J LAMP Introduction Extrinsic Origins

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Road Safety Messages. First Question: When and why should you face traffic?

More Site Folders and Pages

Parents: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills.

Mathematics Skills For Ages 3 to 14

Skills with take home value

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons


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

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

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

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