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:   10 Intersecting Straight Lines and Transversals/
  2.    wt: 3:   A Origins of Counting and Figuring Methods/
  3.    wt: 3:   Step 4 Gaussian Elimination/
  4.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  5.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  6.    wt: 3:   A Decimal Counting and Adding Methods/
  7.    wt: 2:   Parent Center/
  8.    wt: 2:   12 Function Translating and Rescaling/
  9.    wt: 2:   8 Unifying Theme For Algebra/
  10.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  11.    wt: 2:   Step 1 Stick diagram and fractions/
  12.    wt: 2:   3 Solving Linear Equations/
  13.    wt: 2:   9 Combinatorics Trees Tables and Products/
  14.    wt: 2:   5 Integers/
  15.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  16.    wt: 1:   LAMP Lean Applied Mathematics Program/
  17.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  18.    wt: 1:   Mathematics Education Essays/
  19.    wt: 1:   Mathematics Skills Year by Year/
  20.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  21.    wt: 1:   11 Parallel Straight Lines and Transversals/
  22.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  23.    wt: 1:   4 Lines and Slopes Take 1/
  24.    wt: 1:   3 Cartesian and Polar Coordinates/
  25.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  26.    wt: 1:   B Real Numbers Extrinsic Development/
  27.    wt: 1:   10 Examples of Algebraic Reasoning/
  28.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  29.    wt: 1:   1 Working With Sets/
  30.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  31.    wt: 1:   11 Squares and Square Roots/
  32.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  33.    wt: 1:   8 Arithmetic with Signed Numbers/
  34.    wt: 1:   7 Arithmetic and Fractions with Units/
  35.    wt: 1:   6 Fractions and Ratios/
  36.    wt: 1:   3 Prime Factorization Skills/
  37.    wt: 1:   D Decimal Long Division Methods/
  38.    wt: 1:   C Decimal Multiplication Methods/
  39.    wt: 1:   2 Arithmetic with Decimals/
  40.    wt: 1:   1 Decimal Place Value/
  41.    wt: 1:   Arithmetic and Number Theory Skills/
  42.    wt: 1:   5 Lessons on Integration/
  43.    wt: 1:   4 Lessons on Using Derivatives/
  44.    wt: 1:   38 Lessons on Calculating Derivatives/
  45.    wt: 1:   13 Lessons on Limits and Continuity/
  46.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  47.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  48.    wt: 1:   Resources and Reciprocal Links/
  49.    wt: 1:   Mathematics 506 Lessons/
  50.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

536 matches:

  1.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  2.    wt: 5:   Helping the Blind in Logic and Mathematics
  3.    wt: 4:   16 Increasing or decreasing on intervals
  4.    wt: 4:   7 arcsin left inverse of sine Definition
  5.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  6.    wt: 4:   6 Intersection of lines by solving linear systems
  7.    wt: 3:   J LAMP Introduction Extrinsic Origins
  8.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  9.    wt: 3:   Ramblings Extrinsic numbers theory
  10.    wt: 3:   mathematics instruction in general
  11.    wt: 3:   Different Kinds of Reasoning in maths
  12.    wt: 3:   three kinds of reason in mathematics
  13.    wt: 3:   fairness and inductive principles for instruction
  14.    wt: 3:   chapitre 07 01 principle D induction mathematique
  15.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  16.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  17.    wt: 3:   20 Interchanging coordinates a reflection
  18.    wt: 3:   8 arcsin left inverse of sine Graph
  19.    wt: 3:   3 Left Inverse of cosine arccos definition
  20.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  21.    wt: 3:   Straight Lines Instersection Solving Equations
  22.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  23.    wt: 3:   28 Expressing products of sines cosines as sums
  24.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  25.    wt: 3:   1 The Counting Origins of Numbers
  26.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  27.    wt: 3:   14 Adding and Subtracting with Like Denominators
  28.    wt: 3:   7 Adding decimal fractions using decimal point
  29.    wt: 3:   2 Indefinite Integrals Exercises
  30.    wt: 3:   1 Chain Rule in Reverse Integration Method
  31.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  32.    wt: 3:   26 Chain Rule Recognising outer inner functions
  33.    wt: 3:   F.4 Finite Covering Theorem
  34.    wt: 3:   Chapter 16. Painless Theorem Proving
  35.    wt: 3:   H more Routine to non routine problem solving
  36.    wt: 2:   H LAMP Introduction Instructional Concepts
  37.    wt: 2:   G LAMP Introduction Problem Solving Skills
  38.    wt: 2:   E LAMP Introduction Modern Mathematics
  39.    wt: 2:   Ramblings Introduction Algebra Essay
  40.    wt: 2:   links Education Resources online
  41.    wt: 2:   grouping students according to ability
  42.    wt: 2:   mathematics in context
  43.    wt: 2:   teaching tutoring algebraic reason
  44.    wt: 2:   Education in mathematics science and technology
  45.    wt: 2:   cultivating intelligence
  46.    wt: 2:   Prequel In For A Penny In For A Pound
  47.    wt: 2:   words for mathematics instructor
  48.    wt: 2:   Home Tutoring and Home Schooling
  49.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  50.    wt: 2:   22 Student Centered Highschool Mathematics
  51.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  52.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  53.    wt: 2:   2 Reading and Writing Skills
  54.    wt: 2:   26 Function definitions done and coming
  55.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  56.    wt: 2:   17 Function maxima minima and their location
  57.    wt: 2:   9 Set theory term relation possible origins
  58.    wt: 2:   7 Functions with finite domains
  59.    wt: 2:   4 Function notation in and beyond mathematics
  60.    wt: 2:   Introduction Reading Guide
  61.    wt: 2:   5 quadratics completing the square
  62.    wt: 2:   3 quadratics factoring by inspection
  63.    wt: 2:   2 quadratics graphing in general
  64.    wt: 2:   16 cotangent function Definition Graph and Inverse
  65.    wt: 2:   15 cosecant function Definition Graph and Inverse
  66.    wt: 2:   14 secant function Definition Graph and Inverse
  67.    wt: 2:   13 cosecant function Definition Graph and Inverse
  68.    wt: 2:   10 arctan left inverse of tangent Definition
  69.    wt: 2:   5 Swapping Coordinates is a reflection
  70.    wt: 2:   4 graphing y=Asin(x c)
  71.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  72.    wt: 2:   Parallel Lines and Interior Angles
  73.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  74.    wt: 2:   Straight Lines ASA Intersection Study More
  75.    wt: 2:   Straight Lines ASA Intersection Study
  76.    wt: 2:   Straight Lines Intersection of
  77.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  78.    wt: 2:   C Straight Lines Slope from Coordinates
  79.    wt: 2:   B Straight Line Slope Scaling Properties More
  80.    wt: 2:   A Straight Line Slope Scaling Properties
  81.    wt: 2:   12 Straight Lines Graphing mx plus b
  82.    wt: 2:   11 Straight Lines Graphing y=mx
  83.    wt: 2:   10 Straight Lines through Origin Equations More
  84.    wt: 2:   9 Straight Lines through Origin Equations
  85.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  86.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  87.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  88.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  89.    wt: 2:   27 Logarithmic use of products of sines and cosines
  90.    wt: 2:   26 Formulas for products of sines and cosines
  91.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  92.    wt: 2:   21 sine and cosine Half Angle Formulas
  93.    wt: 2:   20 sine and cosine Double Angle Formulas
  94.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  95.    wt: 2:   18 sum of sinusoidal waves as a single wave
  96.    wt: 2:   17D cis formulas for sine cosines and tangent
  97.    wt: 2:   17C sine and cosine double triple angle formulas
  98.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  99.    wt: 2:   15 sine cosine Complementary Angle Relations
  100.    wt: 2:   14 cosine even and sine and tangent are odd
  101.    wt: 2:   11 tangent function undefined when terminal side vertical
  102.    wt: 2:   10 Graphs of sines and cosines many periods
  103.    wt: 2:   9 Graphs of sine and cosine over one period
  104.    wt: 2:   7 period of sine and cosine
  105.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  106.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  107.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  108.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  109.    wt: 2:   12 cis formulas for sine cosines and tangent
  110.    wt: 2:   11 sine and cosine double triple angle formulas
  111.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  112.    wt: 2:   3 Trigonometric Ratios sine and cosine
  113.    wt: 2:   4 Similarity Definition with Coordinate
  114.    wt: 2:   2 point slope equation for a line
  115.    wt: 2:   1 Numerical view of lines and their equations
  116.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  117.    wt: 2:   8 Distance Between Points on a Line
  118.    wt: 2:   10 Dropping a perpendicular to line
  119.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  120.    wt: 2:   12 Real Numbers Line Signed Coordinates
  121.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  122.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  123.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  124.    wt: 2:   4 Location of Point in Decimal Addition
  125.    wt: 2:   3 Location of Point in Decimal Multiplication
  126.    wt: 2:   2 Counting Digits in Decimal Multiplication
  127.    wt: 2:   3 Multiplicative Counting Skills Principles
  128.    wt: 2:   2 Combing Counts Addition Skills and Principles
  129.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  130.    wt: 2:   9 Coordinates for Regions in Space
  131.    wt: 2:   7 Real Numbers as Line Cordinates
  132.    wt: 2:   13 Naming Identifying Formulas with Words
  133.    wt: 2:   7 Compound Interest Formula Introduction
  134.    wt: 2:   1 Written work formats for developing and showing skill
  135.    wt: 2:   1 Counting and Counting Methods I
  136.    wt: 2:   4 signed coordinates for regions in space
  137.    wt: 2:   7 Converting or Changing Units
  138.    wt: 2:   20 Dividing Fractions the Why
  139.    wt: 2:   12 Adding Integers More Examples
  140.    wt: 2:   11 Adding Integers Formulas and Examples
  141.    wt: 2:   9 Multiplying Integers
  142.    wt: 2:   1 Integers as Coordinates
  143.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  144.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  145.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  146.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  147.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  148.    wt: 2:   11 Another Single Digit Divisor Example
  149.    wt: 2:   8 Correcting the Mistake
  150.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  151.    wt: 2:   6. Counting and adding units and mixed units
  152.    wt: 2:   1. Explaining Addition Table
  153.    wt: 2:   012 Division of Time Intervals by Time Intervals
  154.    wt: 2:   8 Addition of Time Intervals via subtotaling
  155.    wt: 2:   4 Mixing and Changing Units of Time
  156.    wt: 2:   4 Definite Integrals Evaluation Exercises
  157.    wt: 2:   29 Chain Rule Optional Reading
  158.    wt: 2:   25 Chain Rule Animated Examples Continued
  159.    wt: 2:   23 Chain Rule in general
  160.    wt: 2:   19 Chain Rule for linear functions
  161.    wt: 2:   18 Chain Rule Introduction
  162.    wt: 2:   17 Derivatives of quotients of sine and cosine
  163.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  164.    wt: 2:   15 sine and cosine derivatives 3rd step
  165.    wt: 2:   14 sine and cosine derivatives 2nd step
  166.    wt: 2:   13 sine and cosine derivatives 1st step
  167.    wt: 2:   11 Limits at infinity Three Examples
  168.    wt: 2:   10 Three one sided limits with infinite values
  169.    wt: 2:   6 Continuity at a point
  170.    wt: 2:   3 Decimal insights for limits continuity convergence
  171.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  172.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  173.    wt: 2:   F.5a Equicontinuity Theorems
  174.    wt: 2:   F.3 Intermediate Value Theorem
  175.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  176.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  177.    wt: 2:   Chapter 25. Mathematical Induction Examples
  178.    wt: 2:   Chapter 25. Mathematical Induction Examples
  179.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  180.    wt: 2:   Chapter 15. Solving Linear Equations
  181.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  182.    wt: 2:   Chapter 10 Describing and Changing Calculations
  183.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  184.    wt: 2:   Chapter 2 For and Against Mathematics
  185.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  186.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  187.    wt: 2:   O On Learning Mathematics and Science
  188.    wt: 2:   N Improving Marks on Tests and Finals
  189.    wt: 2:   G. Written work formats for developing and showing skill
  190.    wt: 2:   C. Domino effect of being careful
  191.    wt: 2:   Systematic Algebra Skill Development Missing Links
  192.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  193.    wt: 2:   Montreal Basic and Advanced Mathematics Tutoring
  194.    wt: 1:   Appendix 1 primary and preschool mathematic
  195.    wt: 1:   K LAMP Musings Science Education
  196.    wt: 1:   I LAMP Introduction Study Habits
  197.    wt: 1:   F LAMP Introduction Prerequisites
  198.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  199.    wt: 1:   A Introduction Objectives
  200.    wt: 1:   Skills Chapter 0 Introduction
  201.    wt: 1:   11 pure mathematics
  202.    wt: 1:   9 combinatorics probability sets
  203.    wt: 1:   7 logic review and decimals an odd combination
  204.    wt: 1:   why bother
  205.    wt: 1:   Teach the teachers plus goals
  206.    wt: 1:   site origins
  207.    wt: 1:   key notes and themes
  208.    wt: 1:   Mathematics Education Professors
  209.    wt: 1:   learning takes time
  210.    wt: 1:   Education Reform Inconsistencies
  211.    wt: 1:   Maps Plans Drawings
  212.    wt: 1:   Secondary Three Mathematics
  213.    wt: 1:   Secondary Two Mathematics
  214.    wt: 1:   Secondary One Mathematics
  215.    wt: 1:   talk the algebra talk
  216.    wt: 1:   teaching tips
  217.    wt: 1:   mathematics curriculum shifts
  218.    wt: 1:   Lessening Algebra Difficulties
  219.    wt: 1:   the trouble with algebra
  220.    wt: 1:   three goals for Mathematics Education
  221.    wt: 1:   04 29 New Mathematics Curriculum
  222.    wt: 1:   04 25 when to stop or suspend mathemat
  223.    wt: 1:   02 20 mathematics education references
  224.    wt: 1:   three aims for mathematics students
  225.    wt: 1:   Operational Viewpoint to Value
  226.    wt: 1:   formal or informal peer review
  227.    wt: 1:   Theory of Knowledge
  228.    wt: 1:   How to be a better instructor
  229.    wt: 1:   need for a mixed mathematics curriculum
  230.    wt: 1:   Leaner mathematics curriculum
  231.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  232.    wt: 1:   chapitre 06 00 Chaines de la raison
  233.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  234.    wt: 1:   chapitre 01 00 Introduction
  235.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  236.    wt: 1:   deux definitions pour variable
  237.    wt: 1:   3 Like resistors in parallel
  238.    wt: 1:   2 Unlike resistors in parallel01
  239.    wt: 1:   1 Like resistors in series
  240.    wt: 1:   F Unlike Resistors in Series
  241.    wt: 1:   18 Primary School Mathematics
  242.    wt: 1:   16 Secondary Mathematics Tips
  243.    wt: 1:   15 Counting For Parents
  244.    wt: 1:   12 Goals and Objectives For Mathematics
  245.    wt: 1:   10 Ends values for work study instruction
  246.    wt: 1:   9 Streaming by Student Cooperation
  247.    wt: 1:   8 The Effect of Negative Remarks
  248.    wt: 1:   4 Learning Takes Time and Effort
  249.    wt: 1:   3 Preparing for Science Studies
  250.    wt: 1:   1 Speaking Skills
  251.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  252.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  253.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  254.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  255.    wt: 1:   23 Inverse Functions
  256.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  257.    wt: 1:   19 Horizontal line rule and method
  258.    wt: 1:   18 Vertical Line Rule and Method
  259.    wt: 1:   14 Surjections Injections Bijections
  260.    wt: 1:   12 Function Domain Recognition Exercises
  261.    wt: 1:   11 Function Domain Range Source and Targets
  262.    wt: 1:   10 Interval Notation
  263.    wt: 1:   3 Formula or function graphing exercise
  264.    wt: 1:   1 Geometric Introduction of Function Notation
  265.    wt: 1:   9 quadratics physical and further context
  266.    wt: 1:   1 quadratics graphing exercises
  267.    wt: 1:   Quadratics in 10 steps
  268.    wt: 1:   11 Growth and Decay in Biology
  269.    wt: 1:   8 Notes for instructors or tutors
  270.    wt: 1:   7 Links Lessons Elsewhere
  271.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  272.    wt: 1:   4 Polynomials Long division linear divisor
  273.    wt: 1:   Rewriting algebraic substitution as function substitutions
  274.    wt: 1:   11 arctan left inverse of tangent Graph
  275.    wt: 1:   9 motivation for name arcsin
  276.    wt: 1:   2 cosine function more properties
  277.    wt: 1:   1 cosine function properties
  278.    wt: 1:   7 Radian Measures in special Triangles
  279.    wt: 1:   1 Degrees and Radians Introduction
  280.    wt: 1:   13 Velocity Vectors in Physics
  281.    wt: 1:   12 From Applied To Pure Mathematics
  282.    wt: 1:   9 Head to Tail Coordinate View
  283.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  284.    wt: 1:   6 Vectors with Coordinates
  285.    wt: 1:   2 Signed Coordinates
  286.    wt: 1:   1 Unsigned Coordinates
  287.    wt: 1:   3 graphing y=f(x c) plus K
  288.    wt: 1:   1 graphing y=f(x a)
  289.    wt: 1:   Parallel Lines and Parallel Transversals
  290.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  291.    wt: 1:   14 Straight Lines Equations General Case
  292.    wt: 1:   8 Straight Lines Equation for vertical
  293.    wt: 1:   7 Tangent Function is odd on this domain
  294.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  295.    wt: 1:   1 Straight Lines Slope Concept
  296.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  297.    wt: 1:   17G Pythagorean Theorem Converse
  298.    wt: 1:   17F Law of cosines
  299.    wt: 1:   17A The complex number valued trig function cis
  300.    wt: 1:   1 Unit Points Reflections Rotations
  301.    wt: 1:   16 References and Originality Question
  302.    wt: 1:   15 Pythagorean Theorem Converse
  303.    wt: 1:   14 Law of cosines
  304.    wt: 1:   9 The complex number valued trig function cis
  305.    wt: 1:   5 An Easy Proof of the Distributive Law
  306.    wt: 1:   1 Rectangular Polar Coordinates Review
  307.    wt: 1:   8 Triangles Cascade Problem Solving
  308.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  309.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  310.    wt: 1:   Why Trigonometry the whyslopes view
  311.    wt: 1:   11 Triangle Similarity Missing Side Problem
  312.    wt: 1:   6 Geometric Diagrams in Class
  313.    wt: 1:   3 Similarity by Design with coordinates
  314.    wt: 1:   12 Links Lessons elsewhere
  315.    wt: 1:   10 Midpoint of [a b] and [b a]
  316.    wt: 1:   8 Mid Point Formula
  317.    wt: 1:   4 Equations for lines three forms
  318.    wt: 1:   3 Slope product for perpendicular lines
  319.    wt: 1:   12 Spatial Coordinates
  320.    wt: 1:   11 Triangle Inequality
  321.    wt: 1:   4 Polar Coordinates to and from
  322.    wt: 1:   3 Rectangular Coordinates Review
  323.    wt: 1:   2 Cartesian Coordinates with signs
  324.    wt: 1:   1 Cartesian Coordinates sans signs
  325.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  326.    wt: 1:   PS E Multiplication with Polar Coordinates
  327.    wt: 1:   PS D Addition with Cartesian Coordinates
  328.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  329.    wt: 1:   14 Parallel Lines Postulate
  330.    wt: 1:   1 Initial Concepts and Terms
  331.    wt: 1:   6 Figuring with Maps Not to Scale
  332.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  333.    wt: 1:   2 Measuring Area Directly
  334.    wt: 1:   musings do not puiblish real numbers
  335.    wt: 1:   A Modular and Remainder Arithmetic
  336.    wt: 1:   21 Addition of Multiples of a Single Vector
  337.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  338.    wt: 1:   15 Head to Tails in place Addition Associative
  339.    wt: 1:   13 Arrows and Vectors in a Plane
  340.    wt: 1:   9 Division with Digits after Decimal Point
  341.    wt: 1:   1 Fractions with Finite Decimal Expansions
  342.    wt: 1:   8 Column Multiplication Methods in General
  343.    wt: 1:   4 Commutative Law Groups Counting Form
  344.    wt: 1:   3 Inequalities Algebraically
  345.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  346.    wt: 1:   5 Proportionality in Equivalent Fractions
  347.    wt: 1:   6 Compound Interest Forward and Backwards
  348.    wt: 1:   3 Linear Equation Literal Solution More
  349.    wt: 1:   2 Linear Equation Literal Solution
  350.    wt: 1:   1 Changing Calculations
  351.    wt: 1:   5 Equality in Algebra
  352.    wt: 1:   5 Greater More Less Than Signs in General
  353.    wt: 1:   12 Real Number Additive Inverses or Negatives
  354.    wt: 1:   8 Coordinates for Maps and Planes
  355.    wt: 1:   2 Integers
  356.    wt: 1:   5 Independent versus Dependent Variables
  357.    wt: 1:   4 Changing Letters
  358.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  359.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  360.    wt: 1:   4 Solving a triangular system exercise
  361.    wt: 1:   3 Solving triangular system example
  362.    wt: 1:   5 Algebraic Solutions Introduction
  363.    wt: 1:   Using Letters for Physical Quantities
  364.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  365.    wt: 1:   8 Compound Interest Formula Evaluation
  366.    wt: 1:   2 Another Rectangle Area Formula Example
  367.    wt: 1:   9 Sets in Probability and Statistics
  368.    wt: 1:   3 Counting with Sets etc
  369.    wt: 1:   1 Finite Sets
  370.    wt: 1:   5 Talking about Numbers and Quantities
  371.    wt: 1:   3 Adding Words To Arithmetic
  372.    wt: 1:   4 Greater More Less Than Signs in General
  373.    wt: 1:   1 Squares and Square Roots Introduction
  374.    wt: 1:   2 Least Common Multiple LCM intro via list method
  375.    wt: 1:   1 Least Common Multiples LCM Introduction
  376.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  377.    wt: 1:   4 Counting with Trees Product Rule Take I
  378.    wt: 1:   3 Counting with Tables and Trees II
  379.    wt: 1:   2 Counting with Tables and Trees I
  380.    wt: 1:   10 dividing signed numbers
  381.    wt: 1:   9 subtracting signed numbers
  382.    wt: 1:   8 multiplying signed numbers
  383.    wt: 1:   7 negative and additive inverse
  384.    wt: 1:   6 adding signed numbers
  385.    wt: 1:   3 signed coordinates for maps and planes
  386.    wt: 1:   2 signed and unsigned numbers as coordinates
  387.    wt: 1:   3 Multiplying Units and Numbers
  388.    wt: 1:   21 Working With Signs
  389.    wt: 1:   19 Dividing Fractions How TO
  390.    wt: 1:   D Remainders Modulo 11 Pair Rule
  391.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  392.    wt: 1:   B Integer Long Division Multiple Choices
  393.    wt: 1:   A Associative Law Theorectical Note
  394.    wt: 1:   13 Subtraction with Additive Inverse
  395.    wt: 1:   10 Integer Multiplication Formulas
  396.    wt: 1:   8 Multiplication by Signed Numbers Integers
  397.    wt: 1:   5 Zero Movement and Additive Inverses
  398.    wt: 1:   4 Adding Movements wiht opposite directions
  399.    wt: 1:   3 Adding Movements with same direction
  400.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  401.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  402.    wt: 1:   23 Remainder Arithmetic Modulo 2
  403.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  404.    wt: 1:   21 Remainder Arithmetic Modulo 3
  405.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  406.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  407.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  408.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  409.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  410.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  411.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  412.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  413.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  414.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  415.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  416.    wt: 1:   5 Remainder Arithmetic Modulo 5
  417.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  418.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  419.    wt: 1:   1 Remainder Arithmetic Modulo 10
  420.    wt: 1:   17 Identify and Count Factors using Primes
  421.    wt: 1:   16 video Factors of 980 using prime
  422.    wt: 1:   15 video Factors of 20 using Prime Factorization
  423.    wt: 1:   13 video Factors of 24 using prime
  424.    wt: 1:   12 LCD GCD and LCM using Primes
  425.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  426.    wt: 1:   4 video Prime Factorization Introduction
  427.    wt: 1:   7 Long Divison Mistake Catching
  428.    wt: 1:   5 Long Division Include Zeroes or not
  429.    wt: 1:   3 Division Single Digit Divisor Example
  430.    wt: 1:   2 Division with Single Digit Divisors
  431.    wt: 1:   C Counting Areas with Powers of Ten
  432.    wt: 1:   Video Power Notation in Decimal Expansion
  433.    wt: 1:   Subtraction Another Video Lesson
  434.    wt: 1:   9 22 Minute Subtraction Review Video
  435.    wt: 1:   2 Decimal Counting Practices
  436.    wt: 1:   11 Place Value SI Standard International way
  437.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  438.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  439.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  440.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  441.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  442.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  443.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  444.    wt: 1:   The 20 Times Table
  445.    wt: 1:   The 12 Times Table Visually
  446.    wt: 1:   016 Numbering Occidental Calendar Days
  447.    wt: 1:   015 School and work day counting tables
  448.    wt: 1:   014 Counting Days with Calendars
  449.    wt: 1:   011 Division of Time Intervals By Numbers
  450.    wt: 1:   010 Repeated Addition of Time Intervals
  451.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  452.    wt: 1:   7 Addition of Time Intervals
  453.    wt: 1:   2 Time and Date Matters in School
  454.    wt: 1:   1 Intro of Kids To Time Date Skills
  455.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  456.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  457.    wt: 1:   A Related Material in Volume 3
  458.    wt: 1:   3 Two Chain Rule Method Exercises
  459.    wt: 1:   A Related lessons in Volume 3
  460.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  461.    wt: 1:   A Chain Rule Real Player video examples
  462.    wt: 1:   33 Chain Rule Real Player video examples
  463.    wt: 1:   31 Derivatives of inverse functions
  464.    wt: 1:   30Chain Rule A Proof
  465.    wt: 1:   28 Chain Rule Preparation for a Proof
  466.    wt: 1:   24 Chain Rule Animated Examples
  467.    wt: 1:   22 Chain Rule for polynomials
  468.    wt: 1:   21 Chain Rule for powers
  469.    wt: 1:   20 Chain Rule for Pulley Systems
  470.    wt: 1:   10 Power rule for negative integers
  471.    wt: 1:   3 Motivation for Limit Definition Take 2
  472.    wt: 1:   2 Motivation for Limit Definition Take 1
  473.    wt: 1:   9 Limits Continuity and Composition
  474.    wt: 1:   1 Numerical introduction
  475.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  476.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  477.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  478.    wt: 1:   G.3 Constant Difference Theorem Proof
  479.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  480.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  481.    wt: 1:   F.5b Extreme Value Theorem
  482.    wt: 1:   F.2 Closed Range Theorem
  483.    wt: 1:   F.1 What Functions are Continuous
  484.    wt: 1:   E1 Error Control Inequalities
  485.    wt: 1:   C Triangle Inequalities
  486.    wt: 1:   B3 Bolzano Weierstrass Theorem
  487.    wt: 1:   PostScript For and Against Decimal Perspectives
  488.    wt: 1:   A1. Introduction
  489.    wt: 1:   index
  490.    wt: 1:   Chapter 23 Links To Trigonometry
  491.    wt: 1:   Chapter 18. Slopes Areas Integration
  492.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  493.    wt: 1:   Chapter 11. Graphing Slope versus Position
  494.    wt: 1:   Chapter 9 About First Courses in Calculus
  495.    wt: 1:   Chapter 8. Slope Interpretation
  496.    wt: 1:   Chapter 1.Introduction
  497.    wt: 1:   Appendix E. How To Study Mathematics and Why
  498.    wt: 1:   Appendix D. What to do in School and Why
  499.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  500.    wt: 1:   Chapter 31 Direct and Indirect Reason
  501.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  502.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  503.    wt: 1:   Chapter 21. Third Reading Guide
  504.    wt: 1:   Chapter 13. Second Reading Guide
  505.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  506.    wt: 1:   Chapter 4 Longer Chains of Reason
  507.    wt: 1:   Chapter 3 Chains of Reason
  508.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  509.    wt: 1:   Annotated Links to Material Elsehwere
  510.    wt: 1:   Postscript B Mathematics Education References
  511.    wt: 1:   Chapter 11 Elementary Instruction
  512.    wt: 1:   Chapter 9 The Two Ends
  513.    wt: 1:   Chapter 8 Modern Instruction
  514.    wt: 1:   Chapter 1 Introduction
  515.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  516.    wt: 1:   Postscript B More on Story Telling and Reason
  517.    wt: 1:   Postscript A Story Telling
  518.    wt: 1:   Chapter 24 Direct and Indirect Reason
  519.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  520.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  521.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  522.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  523.    wt: 1:   Chapter 7 Longer Chains of Reason
  524.    wt: 1:   Chapter 6 Chains of Reason
  525.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  526.    wt: 1:   Chapter 1 Introduction
  527.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  528.    wt: 1:   S Adding words to algebra
  529.    wt: 1:   R Why Learn Mathematics Skills
  530.    wt: 1:   N Mathematics Prepare for College Studies
  531.    wt: 1:   J. More on written work and showing skill
  532.    wt: 1:   H Jigsaw puzzles and problem solving
  533.    wt: 1:   F. The student teacher tutor feedback loop
  534.    wt: 1:   B. Domino effect of errors
  535.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  536.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

881 matches:

  1.    wt: 6:   Straight Lines Instersection Solving Equations
  2.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  3.    wt: 6:   1 The Counting Origins of Numbers
  4.    wt: 6:   7 Adding decimal fractions using decimal point
  5.    wt: 6:   Helping the Blind in Logic and Mathematics
  6.    wt: 5:   19 Extending the Oral Dimension of Mathematics
  7.    wt: 5:   6 Discipline Who is in Charge Conserving Authority
  8.    wt: 5:   7 arcsin left inverse of sine Definition
  9.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  10.    wt: 5:   Straight Lines ASA Intersection Study More
  11.    wt: 5:   Straight Lines ASA Intersection Study
  12.    wt: 5:   Straight Lines Intersection of
  13.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  14.    wt: 5:   6 Intersection of lines by solving linear systems
  15.    wt: 5:   3 Multiplicative Counting Skills Principles
  16.    wt: 5:   2 Combing Counts Addition Skills and Principles
  17.    wt: 5:   Appendix 1 Counting Revisited 15 minute video
  18.    wt: 5:   6. Counting and adding units and mixed units
  19.    wt: 5:   1. Explaining Addition Table
  20.    wt: 4:   J LAMP Introduction Extrinsic Origins
  21.    wt: 4:   C LAMP Introduction Culture in Mathematics Education
  22.    wt: 4:   Ramblings Extrinsic numbers theory
  23.    wt: 4:   mathematics instruction in general
  24.    wt: 4:   Different Kinds of Reasoning in maths
  25.    wt: 4:   three kinds of reason in mathematics
  26.    wt: 4:   fairness and inductive principles for instruction
  27.    wt: 4:   Home Tutoring and Home Schooling
  28.    wt: 4:   25 Mathematics Education Leaving A Good Impression
  29.    wt: 4:   22 Student Centered Highschool Mathematics
  30.    wt: 4:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  31.    wt: 4:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  32.    wt: 4:   2 Reading and Writing Skills
  33.    wt: 4:   16 Increasing or decreasing on intervals
  34.    wt: 4:   8 arcsin left inverse of sine Graph
  35.    wt: 4:   3 Left Inverse of cosine arccos definition
  36.    wt: 4:   4 graphing y=Asin(x c)
  37.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  38.    wt: 4:   Parallel Lines and Alternating Corresponding Angles
  39.    wt: 4:   3 Straight Lines Slope as Tangent of Inclination Angle
  40.    wt: 4:   9 Midpoint Coordinates Half Endpoint Sum
  41.    wt: 4:   8 Column Multiplication Methods in General
  42.    wt: 4:   4 Commutative Law Groups Counting Form
  43.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  44.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  45.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  46.    wt: 4:   4 Solving a triangular system exercise
  47.    wt: 4:   3 Solving triangular system example
  48.    wt: 4:   1 Counting and Counting Methods I
  49.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  50.    wt: 4:   14 Adding and Subtracting with Like Denominators
  51.    wt: 4:   12 Adding Integers More Examples
  52.    wt: 4:   11 Adding Integers Formulas and Examples
  53.    wt: 4:   9 Multiplying Integers
  54.    wt: 4:   1 Integers as Coordinates
  55.    wt: 4:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  56.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  57.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  58.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  59.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  60.    wt: 4:   Subtraction Another Video Lesson
  61.    wt: 4:   9 22 Minute Subtraction Review Video
  62.    wt: 4:   2 Decimal Counting Practices
  63.    wt: 4:   2 Indefinite Integrals Exercises
  64.    wt: 4:   1 Chain Rule in Reverse Integration Method
  65.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  66.    wt: 4:   26 Chain Rule Recognising outer inner functions
  67.    wt: 3:   H LAMP Introduction Instructional Concepts
  68.    wt: 3:   G LAMP Introduction Problem Solving Skills
  69.    wt: 3:   E LAMP Introduction Modern Mathematics
  70.    wt: 3:   Ramblings Introduction Algebra Essay
  71.    wt: 3:   links Education Resources online
  72.    wt: 3:   grouping students according to ability
  73.    wt: 3:   mathematics in context
  74.    wt: 3:   teaching tutoring algebraic reason
  75.    wt: 3:   Education in mathematics science and technology
  76.    wt: 3:   cultivating intelligence
  77.    wt: 3:   Prequel In For A Penny In For A Pound
  78.    wt: 3:   words for mathematics instructor
  79.    wt: 3:   chapitre 07 01 principle D induction mathematique
  80.    wt: 3:   18 Primary School Mathematics
  81.    wt: 3:   16 Secondary Mathematics Tips
  82.    wt: 3:   15 Counting For Parents
  83.    wt: 3:   12 Goals and Objectives For Mathematics
  84.    wt: 3:   10 Ends values for work study instruction
  85.    wt: 3:   9 Streaming by Student Cooperation
  86.    wt: 3:   8 The Effect of Negative Remarks
  87.    wt: 3:   4 Learning Takes Time and Effort
  88.    wt: 3:   3 Preparing for Science Studies
  89.    wt: 3:   1 Speaking Skills
  90.    wt: 3:   20 Interchanging coordinates a reflection
  91.    wt: 3:   16 cotangent function Definition Graph and Inverse
  92.    wt: 3:   15 cosecant function Definition Graph and Inverse
  93.    wt: 3:   14 secant function Definition Graph and Inverse
  94.    wt: 3:   13 cosecant function Definition Graph and Inverse
  95.    wt: 3:   10 arctan left inverse of tangent Definition
  96.    wt: 3:   5 Swapping Coordinates is a reflection
  97.    wt: 3:   3 graphing y=f(x c) plus K
  98.    wt: 3:   1 graphing y=f(x a)
  99.    wt: 3:   Parallel Lines and Interior Angles
  100.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  101.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  102.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  103.    wt: 3:   C Straight Lines Slope from Coordinates
  104.    wt: 3:   B Straight Line Slope Scaling Properties More
  105.    wt: 3:   A Straight Line Slope Scaling Properties
  106.    wt: 3:   12 Straight Lines Graphing mx plus b
  107.    wt: 3:   11 Straight Lines Graphing y=mx
  108.    wt: 3:   10 Straight Lines through Origin Equations More
  109.    wt: 3:   9 Straight Lines through Origin Equations
  110.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  111.    wt: 3:   28 Expressing products of sines cosines as sums
  112.    wt: 3:   2 point slope equation for a line
  113.    wt: 3:   1 Numerical view of lines and their equations
  114.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  115.    wt: 3:   8 Distance Between Points on a Line
  116.    wt: 3:   10 Dropping a perpendicular to line
  117.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  118.    wt: 3:   12 Real Numbers Line Signed Coordinates
  119.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  120.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  121.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  122.    wt: 3:   4 Location of Point in Decimal Addition
  123.    wt: 3:   3 Location of Point in Decimal Multiplication
  124.    wt: 3:   2 Counting Digits in Decimal Multiplication
  125.    wt: 3:   E Long Division Methods more
  126.    wt: 3:   D Long Division Methods
  127.    wt: 3:   C Three Decimal Subtraction Methods
  128.    wt: 3:   B Decimal Comparison and Subtraction
  129.    wt: 3:   A Decimal Addition Columm Methods
  130.    wt: 3:   7 Decimals Multiplication Methods Examples
  131.    wt: 3:   6 Column Methods for Decimal Multiplication
  132.    wt: 3:   5 Distributive Law for Whole Numbers
  133.    wt: 3:   6 Compound Interest Forward and Backwards
  134.    wt: 3:   3 Linear Equation Literal Solution More
  135.    wt: 3:   2 Linear Equation Literal Solution
  136.    wt: 3:   1 Changing Calculations
  137.    wt: 3:   4 GE III Animated Examples
  138.    wt: 3:   3 GE III Equation Addition and Multiplication
  139.    wt: 3:   2 GE II Comparison
  140.    wt: 3:   1 GE Substitution four examples
  141.    wt: 3:   2 Essentially one exercises three with solution
  142.    wt: 3:   1 Essentially One Unknown
  143.    wt: 3:   5 Algebraic Solutions Introduction
  144.    wt: 3:   Using Letters for Physical Quantities
  145.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  146.    wt: 3:   4 Counting with Trees Product Rule Take I
  147.    wt: 3:   3 Counting with Tables and Trees II
  148.    wt: 3:   2 Counting with Tables and Trees I
  149.    wt: 3:   4 signed coordinates for regions in space
  150.    wt: 3:   7 Converting or Changing Units
  151.    wt: 3:   20 Dividing Fractions the Why
  152.    wt: 3:   D Remainders Modulo 11 Pair Rule
  153.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  154.    wt: 3:   B Integer Long Division Multiple Choices
  155.    wt: 3:   A Associative Law Theorectical Note
  156.    wt: 3:   13 Subtraction with Additive Inverse
  157.    wt: 3:   10 Integer Multiplication Formulas
  158.    wt: 3:   8 Multiplication by Signed Numbers Integers
  159.    wt: 3:   5 Zero Movement and Additive Inverses
  160.    wt: 3:   4 Adding Movements wiht opposite directions
  161.    wt: 3:   3 Adding Movements with same direction
  162.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  163.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  164.    wt: 3:   23 Remainder Arithmetic Modulo 2
  165.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  166.    wt: 3:   21 Remainder Arithmetic Modulo 3
  167.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  168.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  169.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  170.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  171.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  172.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  173.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  174.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  175.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  176.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  177.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  178.    wt: 3:   5 Remainder Arithmetic Modulo 5
  179.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  180.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  181.    wt: 3:   1 Remainder Arithmetic Modulo 10
  182.    wt: 3:   11 Another Single Digit Divisor Example
  183.    wt: 3:   8 Correcting the Mistake
  184.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  185.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  186.    wt: 3:   Subtraction with J Conversions Example
  187.    wt: 3:   8 Subtraction with Units of Measure
  188.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  189.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  190.    wt: 3:   5 A Tip for Efficent Subtraction
  191.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  192.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  193.    wt: 3:   2 Subtraction Easy Case Examples
  194.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  195.    wt: 3:   8 What skills and work habits to require
  196.    wt: 3:   5. How to add decimals C. Examples
  197.    wt: 3:   4. How to add with decimals B with conversions
  198.    wt: 3:   3. How to add with decimals A sans conversions
  199.    wt: 3:   4 Definite Integrals Evaluation Exercises
  200.    wt: 3:   29 Chain Rule Optional Reading
  201.    wt: 3:   25 Chain Rule Animated Examples Continued
  202.    wt: 3:   23 Chain Rule in general
  203.    wt: 3:   19 Chain Rule for linear functions
  204.    wt: 3:   18 Chain Rule Introduction
  205.    wt: 3:   17 Derivatives of quotients of sine and cosine
  206.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  207.    wt: 3:   15 sine and cosine derivatives 3rd step
  208.    wt: 3:   14 sine and cosine derivatives 2nd step
  209.    wt: 3:   13 sine and cosine derivatives 1st step
  210.    wt: 3:   11 Limits at infinity Three Examples
  211.    wt: 3:   10 Three one sided limits with infinite values
  212.    wt: 3:   6 Continuity at a point
  213.    wt: 3:   3 Decimal insights for limits continuity convergence
  214.    wt: 3:   F.4 Finite Covering Theorem
  215.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  216.    wt: 3:   Chapter 16. Painless Theorem Proving
  217.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  218.    wt: 3:   Chapter 2 For and Against Mathematics
  219.    wt: 3:   H more Routine to non routine problem solving
  220.    wt: 3:   Systematic Algebra Skill Development Missing Links
  221.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  222.    wt: 2:   Appendix 1 primary and preschool mathematic
  223.    wt: 2:   K LAMP Musings Science Education
  224.    wt: 2:   I LAMP Introduction Study Habits
  225.    wt: 2:   F LAMP Introduction Prerequisites
  226.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  227.    wt: 2:   A Introduction Objectives
  228.    wt: 2:   Skills Chapter 0 Introduction
  229.    wt: 2:   11 pure mathematics
  230.    wt: 2:   9 combinatorics probability sets
  231.    wt: 2:   7 logic review and decimals an odd combination
  232.    wt: 2:   why bother
  233.    wt: 2:   Teach the teachers plus goals
  234.    wt: 2:   site origins
  235.    wt: 2:   key notes and themes
  236.    wt: 2:   Mathematics Education Professors
  237.    wt: 2:   learning takes time
  238.    wt: 2:   Education Reform Inconsistencies
  239.    wt: 2:   Maps Plans Drawings
  240.    wt: 2:   Secondary Three Mathematics
  241.    wt: 2:   Secondary Two Mathematics
  242.    wt: 2:   Secondary One Mathematics
  243.    wt: 2:   talk the algebra talk
  244.    wt: 2:   teaching tips
  245.    wt: 2:   mathematics curriculum shifts
  246.    wt: 2:   Lessening Algebra Difficulties
  247.    wt: 2:   the trouble with algebra
  248.    wt: 2:   three goals for Mathematics Education
  249.    wt: 2:   04 29 New Mathematics Curriculum
  250.    wt: 2:   04 25 when to stop or suspend mathemat
  251.    wt: 2:   02 20 mathematics education references
  252.    wt: 2:   three aims for mathematics students
  253.    wt: 2:   Operational Viewpoint to Value
  254.    wt: 2:   formal or informal peer review
  255.    wt: 2:   Theory of Knowledge
  256.    wt: 2:   How to be a better instructor
  257.    wt: 2:   need for a mixed mathematics curriculum
  258.    wt: 2:   Leaner mathematics curriculum
  259.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  260.    wt: 2:   24 Standards For Skill Develoment Take II
  261.    wt: 2:   24 Standards For Skill Develoment
  262.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  263.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  264.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  265.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  266.    wt: 2:   17 Math Booklets for children and young teenagers
  267.    wt: 2:   14 Multiplication and Times Tables
  268.    wt: 2:   13 Addition and Addition Tables
  269.    wt: 2:   11 Help and Defend Your Child or Teens Education
  270.    wt: 2:   7 Student Motivation
  271.    wt: 2:   5 Patience Please for Yourself and Your Charges
  272.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  273.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  274.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  275.    wt: 2:   26 Function definitions done and coming
  276.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  277.    wt: 2:   17 Function maxima minima and their location
  278.    wt: 2:   9 Set theory term relation possible origins
  279.    wt: 2:   7 Functions with finite domains
  280.    wt: 2:   4 Function notation in and beyond mathematics
  281.    wt: 2:   Introduction Reading Guide
  282.    wt: 2:   5 quadratics completing the square
  283.    wt: 2:   3 quadratics factoring by inspection
  284.    wt: 2:   2 quadratics graphing in general
  285.    wt: 2:   11 arctan left inverse of tangent Graph
  286.    wt: 2:   9 motivation for name arcsin
  287.    wt: 2:   2 cosine function more properties
  288.    wt: 2:   1 cosine function properties
  289.    wt: 2:   Parallel Lines and Parallel Transversals
  290.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  291.    wt: 2:   14 Straight Lines Equations General Case
  292.    wt: 2:   8 Straight Lines Equation for vertical
  293.    wt: 2:   7 Tangent Function is odd on this domain
  294.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  295.    wt: 2:   1 Straight Lines Slope Concept
  296.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  297.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  298.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  299.    wt: 2:   27 Logarithmic use of products of sines and cosines
  300.    wt: 2:   26 Formulas for products of sines and cosines
  301.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  302.    wt: 2:   21 sine and cosine Half Angle Formulas
  303.    wt: 2:   20 sine and cosine Double Angle Formulas
  304.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  305.    wt: 2:   18 sum of sinusoidal waves as a single wave
  306.    wt: 2:   17D cis formulas for sine cosines and tangent
  307.    wt: 2:   17C sine and cosine double triple angle formulas
  308.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  309.    wt: 2:   15 sine cosine Complementary Angle Relations
  310.    wt: 2:   14 cosine even and sine and tangent are odd
  311.    wt: 2:   11 tangent function undefined when terminal side vertical
  312.    wt: 2:   10 Graphs of sines and cosines many periods
  313.    wt: 2:   9 Graphs of sine and cosine over one period
  314.    wt: 2:   7 period of sine and cosine
  315.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  316.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  317.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  318.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  319.    wt: 2:   12 cis formulas for sine cosines and tangent
  320.    wt: 2:   11 sine and cosine double triple angle formulas
  321.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  322.    wt: 2:   3 Trigonometric Ratios sine and cosine
  323.    wt: 2:   4 Similarity Definition with Coordinate
  324.    wt: 2:   12 Links Lessons elsewhere
  325.    wt: 2:   10 Midpoint of [a b] and [b a]
  326.    wt: 2:   8 Mid Point Formula
  327.    wt: 2:   4 Equations for lines three forms
  328.    wt: 2:   3 Slope product for perpendicular lines
  329.    wt: 2:   12 Spatial Coordinates
  330.    wt: 2:   11 Triangle Inequality
  331.    wt: 2:   4 Polar Coordinates to and from
  332.    wt: 2:   3 Rectangular Coordinates Review
  333.    wt: 2:   2 Cartesian Coordinates with signs
  334.    wt: 2:   1 Cartesian Coordinates sans signs
  335.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  336.    wt: 2:   PS E Multiplication with Polar Coordinates
  337.    wt: 2:   PS D Addition with Cartesian Coordinates
  338.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  339.    wt: 2:   14 Parallel Lines Postulate
  340.    wt: 2:   1 Initial Concepts and Terms
  341.    wt: 2:   musings do not puiblish real numbers
  342.    wt: 2:   A Modular and Remainder Arithmetic
  343.    wt: 2:   21 Addition of Multiples of a Single Vector
  344.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  345.    wt: 2:   15 Head to Tails in place Addition Associative
  346.    wt: 2:   13 Arrows and Vectors in a Plane
  347.    wt: 2:   9 Division with Digits after Decimal Point
  348.    wt: 2:   1 Fractions with Finite Decimal Expansions
  349.    wt: 2:   3 Inequalities Algebraically
  350.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  351.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  352.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  353.    wt: 2:   5 Triangle Area Formula Backwards
  354.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  355.    wt: 2:   5 Greater More Less Than Signs in General
  356.    wt: 2:   9 Coordinates for Regions in Space
  357.    wt: 2:   7 Real Numbers as Line Cordinates
  358.    wt: 2:   More Exercises
  359.    wt: 2:   Simple Exercises
  360.    wt: 2:   6 Algebraic Solution Example
  361.    wt: 2:   4 Four Examples Fractional Coefficients
  362.    wt: 2:   3 Four Examples
  363.    wt: 2:   2 Three Examples
  364.    wt: 2:   1 Proper Equal Sign Usage
  365.    wt: 2:   Skill Development Notes
  366.    wt: 2:   10 One Example
  367.    wt: 2:   9 Three Examples
  368.    wt: 2:   8 One Example
  369.    wt: 2:   7 Two Examples
  370.    wt: 2:   6 Three Examples
  371.    wt: 2:   5 Three Examples
  372.    wt: 2:   4 Two Examples
  373.    wt: 2:   3 Two Examples
  374.    wt: 2:   2 Three Examples
  375.    wt: 2:   Formula Usage Show Work Format
  376.    wt: 2:   13 Naming Identifying Formulas with Words
  377.    wt: 2:   7 Compound Interest Formula Introduction
  378.    wt: 2:   1 Written work formats for developing and showing skill
  379.    wt: 2:   9 Sets in Probability and Statistics
  380.    wt: 2:   3 Counting with Sets etc
  381.    wt: 2:   1 Finite Sets
  382.    wt: 2:   4 Greater More Less Than Signs in General
  383.    wt: 2:   1 Squares and Square Roots Introduction
  384.    wt: 2:   2 Least Common Multiple LCM intro via list method
  385.    wt: 2:   1 Least Common Multiples LCM Introduction
  386.    wt: 2:   10 dividing signed numbers
  387.    wt: 2:   9 subtracting signed numbers
  388.    wt: 2:   8 multiplying signed numbers
  389.    wt: 2:   7 negative and additive inverse
  390.    wt: 2:   6 adding signed numbers
  391.    wt: 2:   3 signed coordinates for maps and planes
  392.    wt: 2:   2 signed and unsigned numbers as coordinates
  393.    wt: 2:   3 Multiplying Units and Numbers
  394.    wt: 2:   21 Working With Signs
  395.    wt: 2:   19 Dividing Fractions How TO
  396.    wt: 2:   7 Multiplication by Signs
  397.    wt: 2:   6 Multiplication by Natural Numbers
  398.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  399.    wt: 2:   26 Divisibility by 2 3 5 Example
  400.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  401.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  402.    wt: 2:   17 Identify and Count Factors using Primes
  403.    wt: 2:   16 video Factors of 980 using prime
  404.    wt: 2:   15 video Factors of 20 using Prime Factorization
  405.    wt: 2:   13 video Factors of 24 using prime
  406.    wt: 2:   12 LCD GCD and LCM using Primes
  407.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  408.    wt: 2:   4 video Prime Factorization Introduction
  409.    wt: 2:   7 Long Divison Mistake Catching
  410.    wt: 2:   5 Long Division Include Zeroes or not
  411.    wt: 2:   3 Division Single Digit Divisor Example
  412.    wt: 2:   2 Division with Single Digit Divisors
  413.    wt: 2:   C Counting Areas with Powers of Ten
  414.    wt: 2:   Video Power Notation in Decimal Expansion
  415.    wt: 2:   11 Place Value SI Standard International way
  416.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  417.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  418.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  419.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  420.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  421.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  422.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  423.    wt: 2:   The 20 Times Table
  424.    wt: 2:   The 12 Times Table Visually
  425.    wt: 2:   012 Division of Time Intervals by Time Intervals
  426.    wt: 2:   8 Addition of Time Intervals via subtotaling
  427.    wt: 2:   4 Mixing and Changing Units of Time
  428.    wt: 2:   A Related Material in Volume 3
  429.    wt: 2:   3 Two Chain Rule Method Exercises
  430.    wt: 2:   A Related lessons in Volume 3
  431.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  432.    wt: 2:   A Chain Rule Real Player video examples
  433.    wt: 2:   33 Chain Rule Real Player video examples
  434.    wt: 2:   31 Derivatives of inverse functions
  435.    wt: 2:   30Chain Rule A Proof
  436.    wt: 2:   28 Chain Rule Preparation for a Proof
  437.    wt: 2:   24 Chain Rule Animated Examples
  438.    wt: 2:   22 Chain Rule for polynomials
  439.    wt: 2:   21 Chain Rule for powers
  440.    wt: 2:   20 Chain Rule for Pulley Systems
  441.    wt: 2:   10 Power rule for negative integers
  442.    wt: 2:   3 Motivation for Limit Definition Take 2
  443.    wt: 2:   2 Motivation for Limit Definition Take 1
  444.    wt: 2:   9 Limits Continuity and Composition
  445.    wt: 2:   1 Numerical introduction
  446.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  447.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  448.    wt: 2:   F.5a Equicontinuity Theorems
  449.    wt: 2:   F.3 Intermediate Value Theorem
  450.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  451.    wt: 2:   Chapter 23 Links To Trigonometry
  452.    wt: 2:   Chapter 18. Slopes Areas Integration
  453.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  454.    wt: 2:   Chapter 11. Graphing Slope versus Position
  455.    wt: 2:   Chapter 9 About First Courses in Calculus
  456.    wt: 2:   Chapter 8. Slope Interpretation
  457.    wt: 2:   Chapter 1.Introduction
  458.    wt: 2:   Chapter 25. Mathematical Induction Examples
  459.    wt: 2:   Chapter 25. Mathematical Induction Examples
  460.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  461.    wt: 2:   Chapter 15. Solving Linear Equations
  462.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  463.    wt: 2:   Chapter 10 Describing and Changing Calculations
  464.    wt: 2:   Annotated Links to Material Elsehwere
  465.    wt: 2:   Postscript B Mathematics Education References
  466.    wt: 2:   Chapter 11 Elementary Instruction
  467.    wt: 2:   Chapter 9 The Two Ends
  468.    wt: 2:   Chapter 8 Modern Instruction
  469.    wt: 2:   Chapter 1 Introduction
  470.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  471.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  472.    wt: 2:   O On Learning Mathematics and Science
  473.    wt: 2:   N Improving Marks on Tests and Finals
  474.    wt: 2:   G. Written work formats for developing and showing skill
  475.    wt: 2:   C. Domino effect of being careful
  476.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  477.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  478.    wt: 2:   Montreal Basic and Advanced Mathematics Tutoring
  479.    wt: 1:   Appendix 2 primary school Arithmetic 01
  480.    wt: 1:   Skills Chapter 5 Calculus
  481.    wt: 1:   Skills Chapter 4 Logic
  482.    wt: 1:   Skills Chapter 3 Algebra
  483.    wt: 1:   Skills Chapter 2 Geometry
  484.    wt: 1:   Skills Chapter 1 Arithmetic
  485.    wt: 1:   10 statistics
  486.    wt: 1:   8 analytic geometry etc
  487.    wt: 1:   6 polynomials etc
  488.    wt: 1:   5 logarithms and exponentials etc
  489.    wt: 1:   4 algebra
  490.    wt: 1:   3 Euclidean Geometry Leanly
  491.    wt: 1:   2 arithmetic with signed numbers
  492.    wt: 1:   1 arithmetic with unsigned numbers
  493.    wt: 1:   What is POMME
  494.    wt: 1:   which way to go
  495.    wt: 1:   website reviews
  496.    wt: 1:   three goals to set for students
  497.    wt: 1:   permissions for teachers
  498.    wt: 1:   Math Ed if it must be short make it lean effective
  499.    wt: 1:   Applied Maths Program14092009 POMME variant
  500.    wt: 1:   activities for students
  501.    wt: 1:   site eurekas
  502.    wt: 1:   About site lesson plans
  503.    wt: 1:   teacher certification
  504.    wt: 1:   modern education
  505.    wt: 1:   what should be learnt and When
  506.    wt: 1:   Postscript 2007 01 10
  507.    wt: 1:   five decades make a difference
  508.    wt: 1:   how letters appear
  509.    wt: 1:   three difficulties
  510.    wt: 1:   What to Tell Students
  511.    wt: 1:   geometric implications for algebra
  512.    wt: 1:   05 13 OldSiteEntrancePage
  513.    wt: 1:   02 21 words for teachers
  514.    wt: 1:   standards for course material
  515.    wt: 1:   Four ways to improve education reform
  516.    wt: 1:   Motivation and Context Problem
  517.    wt: 1:   education an empirical art
  518.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  519.    wt: 1:   chapitre 06 00 Chaines de la raison
  520.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  521.    wt: 1:   chapitre 01 00 Introduction
  522.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  523.    wt: 1:   deux definitions pour variable
  524.    wt: 1:   3 Like resistors in parallel
  525.    wt: 1:   2 Unlike resistors in parallel01
  526.    wt: 1:   1 Like resistors in series
  527.    wt: 1:   F Unlike Resistors in Series
  528.    wt: 1:   Ages 12 to 14 Skills with take home value
  529.    wt: 1:   Ages 12 to 14 Geometry
  530.    wt: 1:   Ages 12 to 14 Arithmetic
  531.    wt: 1:   Ages 10 to 12 Geometry
  532.    wt: 1:   Ages 10 to 12 Arithmetic
  533.    wt: 1:   Ages 9 to 10
  534.    wt: 1:   Ages 8 to 9
  535.    wt: 1:   Ages 7 to 8
  536.    wt: 1:   Ages 6 to 7
  537.    wt: 1:   Ages 4 plus to 5 plus
  538.    wt: 1:   Ages 3 plus to 4 plus
  539.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  540.    wt: 1:   23 Inverse Functions
  541.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  542.    wt: 1:   19 Horizontal line rule and method
  543.    wt: 1:   18 Vertical Line Rule and Method
  544.    wt: 1:   14 Surjections Injections Bijections
  545.    wt: 1:   12 Function Domain Recognition Exercises
  546.    wt: 1:   11 Function Domain Range Source and Targets
  547.    wt: 1:   10 Interval Notation
  548.    wt: 1:   3 Formula or function graphing exercise
  549.    wt: 1:   1 Geometric Introduction of Function Notation
  550.    wt: 1:   9 quadratics physical and further context
  551.    wt: 1:   1 quadratics graphing exercises
  552.    wt: 1:   Quadratics in 10 steps
  553.    wt: 1:   11 Growth and Decay in Biology
  554.    wt: 1:   8 Notes for instructors or tutors
  555.    wt: 1:   7 Links Lessons Elsewhere
  556.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  557.    wt: 1:   4 Polynomials Long division linear divisor
  558.    wt: 1:   Rewriting algebraic substitution as function substitutions
  559.    wt: 1:   12 motivation for term arctan
  560.    wt: 1:   6 Graph of arccos function
  561.    wt: 1:   4 possible motivation for term arccos
  562.    wt: 1:   7 Radian Measures in special Triangles
  563.    wt: 1:   1 Degrees and Radians Introduction
  564.    wt: 1:   13 Velocity Vectors in Physics
  565.    wt: 1:   12 From Applied To Pure Mathematics
  566.    wt: 1:   9 Head to Tail Coordinate View
  567.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  568.    wt: 1:   6 Vectors with Coordinates
  569.    wt: 1:   2 Signed Coordinates
  570.    wt: 1:   1 Unsigned Coordinates
  571.    wt: 1:   Triangle Angles Sum To 180 Degrees
  572.    wt: 1:   5 Tangent Function Graph
  573.    wt: 1:   4 Tangent Function Properties
  574.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  575.    wt: 1:   17G Pythagorean Theorem Converse
  576.    wt: 1:   17F Law of cosines
  577.    wt: 1:   17A The complex number valued trig function cis
  578.    wt: 1:   1 Unit Points Reflections Rotations
  579.    wt: 1:   16 References and Originality Question
  580.    wt: 1:   15 Pythagorean Theorem Converse
  581.    wt: 1:   14 Law of cosines
  582.    wt: 1:   9 The complex number valued trig function cis
  583.    wt: 1:   5 An Easy Proof of the Distributive Law
  584.    wt: 1:   1 Rectangular Polar Coordinates Review
  585.    wt: 1:   8 Triangles Cascade Problem Solving
  586.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  587.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  588.    wt: 1:   Why Trigonometry the whyslopes view
  589.    wt: 1:   11 Triangle Similarity Missing Side Problem
  590.    wt: 1:   6 Geometric Diagrams in Class
  591.    wt: 1:   3 Similarity by Design with coordinates
  592.    wt: 1:   Four Simple Exercises
  593.    wt: 1:   11 A Partial Summary
  594.    wt: 1:   7 Exercises to test skill and concept mastery
  595.    wt: 1:   5 Algebraic View of Slopes
  596.    wt: 1:   What is and is not here
  597.    wt: 1:   13 Pythagorean spatial distance formulas
  598.    wt: 1:   10 Pythagorean plane distance formula
  599.    wt: 1:   7 Complex Numbers Appetizer
  600.    wt: 1:   6 Polar Multiplication and Rotation
  601.    wt: 1:   5 Cartesian Addition and Translation
  602.    wt: 1:   PS H Distributive Law For Complex Numbers
  603.    wt: 1:   PS G Rotation Distributes over Addition
  604.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  605.    wt: 1:   PS B Parallelogram Construction Methods
  606.    wt: 1:   PS A Kite Construction Methods
  607.    wt: 1:   21 Parallelograms
  608.    wt: 1:   19 Right Triangle Similarity
  609.    wt: 1:   18 Triangle Similarity Take 1
  610.    wt: 1:   17 Right Bisectors of Triangle Sides
  611.    wt: 1:   16 Angles Subtended By Chords and Diameters
  612.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  613.    wt: 1:   13 Angle Side Angle Failure
  614.    wt: 1:   12 Side Angle Side Failure
  615.    wt: 1:   11 Triangle Construction Fails
  616.    wt: 1:   9 Construction of a right bisector
  617.    wt: 1:   8 Isoceles Triangles
  618.    wt: 1:   7 Angle Side Angle
  619.    wt: 1:   6 Ruler and compass Angle Bisection
  620.    wt: 1:   5 Side Angle Side
  621.    wt: 1:   4 Side Side Side
  622.    wt: 1:   3 Isometry of Triangles Congruence
  623.    wt: 1:   2 Correspondence between Triangles
  624.    wt: 1:   Short Course on Euclidean Geometry
  625.    wt: 1:   6 Figuring with Maps Not to Scale
  626.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  627.    wt: 1:   2 Measuring Area Directly
  628.    wt: 1:   A Signed Number Arithmetic Review
  629.    wt: 1:   26 More Less Greater Than Comparison
  630.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  631.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  632.    wt: 1:   23 Distributive Law Two Derivations
  633.    wt: 1:   22 Multiplication of Signed Numbers
  634.    wt: 1:   19 Signed Multiples of Vectors
  635.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  636.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  637.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  638.    wt: 1:   11 Signed Number Addition and Addition Properties
  639.    wt: 1:   8 Division and Mulplication of Compound Fractions
  640.    wt: 1:   5 Areas of Rectangles Revisited
  641.    wt: 1:   4 Fraction Operations Axiomatic Development
  642.    wt: 1:   2 Fraction Operations Physical Development
  643.    wt: 1:   5 Proportionality in Equivalent Fractions
  644.    wt: 1:   5 Equality in Algebra
  645.    wt: 1:   4 Comparison of Negative Numbers
  646.    wt: 1:   3 More and Less Than with Unlike Signs
  647.    wt: 1:   2 More and Less Than for Counts and Measures
  648.    wt: 1:   1 Real Numbers Comparison
  649.    wt: 1:   12 Real Number Additive Inverses or Negatives
  650.    wt: 1:   8 Coordinates for Maps and Planes
  651.    wt: 1:   2 Integers
  652.    wt: 1:   5 Independent versus Dependent Variables
  653.    wt: 1:   4 Changing Letters
  654.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  655.    wt: 1:   8 Compound Interest Formula Evaluation
  656.    wt: 1:   2 Another Rectangle Area Formula Example
  657.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  658.    wt: 1:   8 Sets of Numbers
  659.    wt: 1:   7 Cautious or Safe Set Construction
  660.    wt: 1:   6 Power Set Notation
  661.    wt: 1:   5 Product Builder Notation
  662.    wt: 1:   4 Subset Builder Notation
  663.    wt: 1:   2 Venn Diagrams
  664.    wt: 1:   5 Talking about Numbers and Quantities
  665.    wt: 1:   3 Adding Words To Arithmetic
  666.    wt: 1:   arithmetic videos Real Player Format
  667.    wt: 1:   3 Comparison of Negative Numbers
  668.    wt: 1:   2 More and Less Than with Unlike Signs
  669.    wt: 1:   1 More and Less Than for Counts and Measures
  670.    wt: 1:   5 Square Roots with primes more still
  671.    wt: 1:   4 Square Roots with primes more
  672.    wt: 1:   3 Properties of Square Roots with example
  673.    wt: 1:   2 Square Roots with Prime
  674.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  675.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  676.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  677.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  678.    wt: 1:   13 GCD from given Prime Factorization
  679.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  680.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  681.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  682.    wt: 1:   8 GCD from Euclidean Algorithm
  683.    wt: 1:   7 GCD and LCM from prime factorization
  684.    wt: 1:   6 GCD from Prime
  685.    wt: 1:   5 Common Divisors 60 45 via Prime
  686.    wt: 1:   4 LCM of 8 and 10 via Prime
  687.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  688.    wt: 1:   12 GCD 2700 288 via Prime
  689.    wt: 1:   11 What are real lengths and numbers
  690.    wt: 1:   5 lengths and signs of numbers
  691.    wt: 1:   6 Simplification of Fractions with Units
  692.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  693.    wt: 1:   4 Fractions with Units
  694.    wt: 1:   2 Equality and Units
  695.    wt: 1:   1 Addition and Subtraction with Units
  696.    wt: 1:   D Three Term Ratios
  697.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  698.    wt: 1:   B Fractions and Two Term Ratios
  699.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  700.    wt: 1:   22 Complex Compound Fractions
  701.    wt: 1:   21 Reciprocals for Fractions and Wholes
  702.    wt: 1:   18 Efficient Ways to Multiply
  703.    wt: 1:   17 Efficient Ways to Add and Subtract
  704.    wt: 1:   16 Addition Subtraction Comparision Compared
  705.    wt: 1:   13 Fraction Comparison Algebraic View
  706.    wt: 1:   12 Fraction Comparison
  707.    wt: 1:   11 Simplification an Algebraic View
  708.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  709.    wt: 1:   9 Improper Fractions and Mixed Numbers
  710.    wt: 1:   8 Numerals Fractionals Quantals Take II
  711.    wt: 1:   7 Numerals Fractionals Quantals
  712.    wt: 1:   6 Multiplication Algebraically Take II
  713.    wt: 1:   5 Equivalent Fractions
  714.    wt: 1:   4 Fraction Multiplication
  715.    wt: 1:   3 Unit fraction of a fraction
  716.    wt: 1:   2 Unit Fraction Multiplication
  717.    wt: 1:   1 What is a fraction Take II
  718.    wt: 1:   1 What is a fraction
  719.    wt: 1:   20 Uniqueness of Prime Factorization
  720.    wt: 1:   19 video Prime Factorization Unique
  721.    wt: 1:   18 video Count Factors given Prime Factorization
  722.    wt: 1:   14 video Factors of 24 Take II
  723.    wt: 1:   11 Efficient Square Rule Use
  724.    wt: 1:   10 video Prime Factorization upto 23 squared
  725.    wt: 1:   9 video Prime Factorization upto 19 squared
  726.    wt: 1:   8 video Prime Factorization upto 19
  727.    wt: 1:   7 Calculator Usage Notes and Cautions
  728.    wt: 1:   5 Prime Factorization and a Square Rule
  729.    wt: 1:   3 video Primes and Composites from 9 times table
  730.    wt: 1:   2 Prime and Composites less than 16
  731.    wt: 1:   1 video how Products are bigger than factor
  732.    wt: 1:   Long Division Backwards more
  733.    wt: 1:   Long Division Backward
  734.    wt: 1:   Division with Counts and Length
  735.    wt: 1:   Long Division forwards and backwards Example 3
  736.    wt: 1:   Long Division forwards and backwards Example 2
  737.    wt: 1:   Long Division forwards and backwards Example 1
  738.    wt: 1:   12 Why Long Division Works Take III
  739.    wt: 1:   10 Division by Five Long and Short Ways
  740.    wt: 1:   9 Why Long Division Works Take II
  741.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  742.    wt: 1:   4 Division with 2 Digit Divsors
  743.    wt: 1:   1 Divsion Physical Examples
  744.    wt: 1:   D Decimal Multiplication Methods Derived
  745.    wt: 1:   B Powers of Ten
  746.    wt: 1:   A Elementary Basis for Multiplication Methods
  747.    wt: 1:   6 Multiplication Commutes Order Not Important
  748.    wt: 1:   5 Decimal Fraction Multiplication
  749.    wt: 1:   4 Two and Three Digit Multipliers
  750.    wt: 1:   3 More One Digit Multipliers
  751.    wt: 1:   2 One Digit Multipliers
  752.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  753.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  754.    wt: 1:   1 Why 3 times 5 gives 15
  755.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  756.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  757.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  758.    wt: 1:   Quick history of numbers and algebra
  759.    wt: 1:   Exact Arithmetic Wholes and Fractions
  760.    wt: 1:   Formula Evaluation how to show work
  761.    wt: 1:   Expression Evaluation how to show work
  762.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  763.    wt: 1:   About folder contents
  764.    wt: 1:   016 Numbering Occidental Calendar Days
  765.    wt: 1:   015 School and work day counting tables
  766.    wt: 1:   014 Counting Days with Calendars
  767.    wt: 1:   011 Division of Time Intervals By Numbers
  768.    wt: 1:   010 Repeated Addition of Time Intervals
  769.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  770.    wt: 1:   7 Addition of Time Intervals
  771.    wt: 1:   2 Time and Date Matters in School
  772.    wt: 1:   1 Intro of Kids To Time Date Skills
  773.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  774.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  775.    wt: 1:   5 Area Under Curve Exercise
  776.    wt: 1:   4 Second derivative test exercise example
  777.    wt: 1:   3 Second derivative test
  778.    wt: 1:   2 Second derivative test prequel
  779.    wt: 1:   38 Formulas and derivatives for powers and roots
  780.    wt: 1:   36 Cube root derivative animated
  781.    wt: 1:   34 Derivative of exponential function
  782.    wt: 1:   12 Quotient rule examples
  783.    wt: 1:   11 Quotient rule
  784.    wt: 1:   9 Reciprocal rule
  785.    wt: 1:   8 Differentiation of polynomials
  786.    wt: 1:   7 Animated Differentiation Examples
  787.    wt: 1:   6 Power rule from product rule
  788.    wt: 1:   5 Product Rule
  789.    wt: 1:   4 Sum Rule
  790.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  791.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  792.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  793.    wt: 1:   8 Four Animated Examples
  794.    wt: 1:   7 Evaluation by immediate or delayed substitution
  795.    wt: 1:   5 Jumps and absence of unlimited error control
  796.    wt: 1:   4 Numerical properties
  797.    wt: 1:   2 Algebraic codification
  798.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  799.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  800.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  801.    wt: 1:   G.3 Constant Difference Theorem Proof
  802.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  803.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  804.    wt: 1:   F.5b Extreme Value Theorem
  805.    wt: 1:   F.2 Closed Range Theorem
  806.    wt: 1:   F.1 What Functions are Continuous
  807.    wt: 1:   E1 Error Control Inequalities
  808.    wt: 1:   C Triangle Inequalities
  809.    wt: 1:   B3 Bolzano Weierstrass Theorem
  810.    wt: 1:   PostScript For and Against Decimal Perspectives
  811.    wt: 1:   A1. Introduction
  812.    wt: 1:   index
  813.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  814.    wt: 1:   Chapter 22 Complex Numbers
  815.    wt: 1:   Chapter 21 Arrow Addition
  816.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  817.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  818.    wt: 1:   Chapter 17. Area Approximation
  819.    wt: 1:   Chapter 16. Velocity Approximation
  820.    wt: 1:   Chapter 15. Slope Approximation
  821.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  822.    wt: 1:   Chapter 13. Acceleration
  823.    wt: 1:   Chapter 12. Units and Slopes
  824.    wt: 1:   Chapter 10 Slopes and Units
  825.    wt: 1:   Chapter 7 Slopes and Velocity
  826.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  827.    wt: 1:   Chapter 5. Slope Sign Tests
  828.    wt: 1:   Chapter 4. More Slope Sign Analysis
  829.    wt: 1:   Chapter 3. Slope Sign Analysis
  830.    wt: 1:   Chapter 2. Slopes and Ski Trails
  831.    wt: 1:   Fall 1983 Calculus Appetizer
  832.    wt: 1:   Foreword
  833.    wt: 1:   Appendix E. How To Study Mathematics and Why
  834.    wt: 1:   Appendix D. What to do in School and Why
  835.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  836.    wt: 1:   Chapter 31 Direct and Indirect Reason
  837.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  838.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  839.    wt: 1:   Chapter 21. Third Reading Guide
  840.    wt: 1:   Chapter 13. Second Reading Guide
  841.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  842.    wt: 1:   Chapter 4 Longer Chains of Reason
  843.    wt: 1:   Chapter 3 Chains of Reason
  844.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  845.    wt: 1:   Postscript A Three Remarks
  846.    wt: 1:   Chapter 12 Four Phases
  847.    wt: 1:   Chapter 10 Transition
  848.    wt: 1:   Chapter 7 Two Treatments of Geometry
  849.    wt: 1:   Chapter 5 Four References
  850.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  851.    wt: 1:   Chapter 3 Algebra Difficulties
  852.    wt: 1:   Foreword
  853.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  854.    wt: 1:   Postscript B More on Story Telling and Reason
  855.    wt: 1:   Postscript A Story Telling
  856.    wt: 1:   Chapter 24 Direct and Indirect Reason
  857.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  858.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  859.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  860.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  861.    wt: 1:   Chapter 7 Longer Chains of Reason
  862.    wt: 1:   Chapter 6 Chains of Reason
  863.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  864.    wt: 1:   Chapter 1 Introduction
  865.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  866.    wt: 1:   S Adding words to algebra
  867.    wt: 1:   R Why Learn Mathematics Skills
  868.    wt: 1:   N Mathematics Prepare for College Studies
  869.    wt: 1:   J. More on written work and showing skill
  870.    wt: 1:   H Jigsaw puzzles and problem solving
  871.    wt: 1:   F. The student teacher tutor feedback loop
  872.    wt: 1:   B. Domino effect of errors
  873.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  874.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  875.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  876.    wt: 1:   Implementation Notes
  877.    wt: 1:   More Algebra and Slope based Calculus Preview
  878.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  879.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  880.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  881.    wt: 1:   Which Way To Go

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