Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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 12+: 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

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential 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.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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69 matches:

  1.    wt: 8:   Step 2 Algebraic solutions for one unknown/
  2.    wt: 6:   A Origins of Counting and Figuring Methods/
  3.    wt: 6:   Step 3 Easy systems in 2 or more unknowns/
  4.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  5.    wt: 6:   Volume 2 Three Skills For Algebra/
  6.    wt: 5:   10 Examples of Algebraic Reasoning/
  7.    wt: 5:   8 Unifying Theme For Algebra/
  8.    wt: 5:   Step 4 Gaussian Elimination/
  9.    wt: 5:   2 Formula Forward Use Evaluation/
  10.    wt: 5:   A Decimal Counting and Adding Methods/
  11.    wt: 4:   12 Function Translating and Rescaling/
  12.    wt: 4:   Step 1 Stick diagram and fractions/
  13.    wt: 4:   3 Solving Linear Equations/
  14.    wt: 4:   12 Comparison of Unsigned and Signed Numbers/
  15.    wt: 3:   2 Natural Logarithms Exponentials Powers Roots/
  16.    wt: 3:   10 Intersecting Straight Lines and Transversals/
  17.    wt: 3:   B Real Numbers Extrinsic Development/
  18.    wt: 3:   9 Proportionality Backwards and Forwards/
  19.    wt: 3:   6 More Less Greater Than Inequalities and Comparison/
  20.    wt: 3:   1 Working With Sets/
  21.    wt: 3:   D Decimal Long Division Methods/
  22.    wt: 3:   C Decimal Multiplication Methods/
  23.    wt: 3:   2 Arithmetic with Decimals/
  24.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  25.    wt: 2:   Mathematics Skills Year by Year/
  26.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  27.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  28.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  29.    wt: 2:   5 Real Numbers/
  30.    wt: 2:   4 Computation Rules and Function Notation/
  31.    wt: 2:   Algebra Starter Lessons/
  32.    wt: 2:   9 Combinatorics Trees Tables and Products/
  33.    wt: 2:   5 Integers/
  34.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  35.    wt: 2:   3 Prime Factorization Skills/
  36.    wt: 2:   38 Lessons on Calculating Derivatives/
  37.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
  38.    wt: 2:   Volume 1 Elements of Reason/
  39.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  40.    wt: 1:   LAMP Lean Applied Mathematics Program/
  41.    wt: 1:   Mathematics Education Essays/
  42.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  43.    wt: 1:   4 Functions/
  44.    wt: 1:   3 Quadratics Geometrically/
  45.    wt: 1:   1 Five Polynomial Operations/
  46.    wt: 1:   More Algebra/
  47.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  48.    wt: 1:   11 Parallel Straight Lines and Transversals/
  49.    wt: 1:   4 Lines and Slopes Take 1/
  50.    wt: 1:   3 Cartesian and Polar Coordinates/
  51.    wt: 1:   11 Squares and Square Roots/
  52.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  53.    wt: 1:   8 Arithmetic with Signed Numbers/
  54.    wt: 1:   7 Arithmetic and Fractions with Units/
  55.    wt: 1:   6 Fractions and Ratios/
  56.    wt: 1:   1 Decimal Place Value/
  57.    wt: 1:   Arithmetic and Number Theory Skills/
  58.    wt: 1:   Time Date Matters/
  59.    wt: 1:   Skills with take home value/
  60.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  61.    wt: 1:   5 Lessons on Integration/
  62.    wt: 1:   4 Lessons on Using Derivatives/
  63.    wt: 1:   13 Lessons on Limits and Continuity/
  64.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  65.    wt: 1:   Volume 1A Pattern Based Reason/
  66.    wt: 1:   Resources and Reciprocal Links/
  67.    wt: 1:   Mathematics 506 Lessons/
  68.    wt: 1:   Secondary Mathematics A Practical Approach/
  69.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

824 matches:

  1.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 6:   26 Formulas for products of sines and cosines
  3.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  4.    wt: 5:   three kinds of reason in mathematics
  5.    wt: 5:   7 arcsin left inverse of sine Definition
  6.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  7.    wt: 5:   28 Expressing products of sines cosines as sums
  8.    wt: 5:   27 Logarithmic use of products of sines and cosines
  9.    wt: 5:   12 cis formulas for sine cosines and tangent
  10.    wt: 5:   6 Intersection of lines by solving linear systems
  11.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  12.    wt: 5:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  13.    wt: 4:   Different Kinds of Reasoning in maths
  14.    wt: 4:   Prequel In For A Penny In For A Pound
  15.    wt: 4:   fairness and inductive principles for instruction
  16.    wt: 4:   2 Reading and Writing Skills
  17.    wt: 4:   20 Interchanging coordinates a reflection
  18.    wt: 4:   16 Increasing or decreasing on intervals
  19.    wt: 4:   8 arcsin left inverse of sine Graph
  20.    wt: 4:   3 Left Inverse of cosine arccos definition
  21.    wt: 4:   3 Straight Lines Slope as Tangent of Inclination Angle
  22.    wt: 4:   35 sines and cosines of 2A 3A 4A 5A
  23.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  24.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  25.    wt: 4:   21 sine and cosine Half Angle Formulas
  26.    wt: 4:   20 sine and cosine Double Angle Formulas
  27.    wt: 4:   17D cis formulas for sine cosines and tangent
  28.    wt: 4:   4 Equations for lines three forms
  29.    wt: 4:   2 point slope equation for a line
  30.    wt: 4:   21 Addition of Multiples of a Single Vector
  31.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  32.    wt: 4:   2 Combing Counts Addition Skills and Principles
  33.    wt: 4:   1 Written work formats for developing and showing skill
  34.    wt: 4:   1 Three Skills For Algebra
  35.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  36.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  37.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  38.    wt: 4:   2 Groups of Three Place Value for Multidigit Decimals
  39.    wt: 4:   012 Division of Time Intervals by Time Intervals
  40.    wt: 4:   2 Indefinite Integrals Exercises
  41.    wt: 4:   28 Chain Rule Preparation for a Proof
  42.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  43.    wt: 4:   26 Chain Rule Recognising outer inner functions
  44.    wt: 4:   22 Chain Rule for polynomials
  45.    wt: 4:   17 Derivatives of quotients of sine and cosine
  46.    wt: 4:   16 Derivatives of reciprocals of sine and cosine
  47.    wt: 4:   Chapter 8 Three Skills For Algebra
  48.    wt: 4:   Chapter 2 For and Against Mathematics
  49.    wt: 4:   G. Written work formats for developing and showing skill
  50.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  51.    wt: 4:   Helping the Blind in Logic and Mathematics
  52.    wt: 3:   J LAMP Introduction Extrinsic Origins
  53.    wt: 3:   G LAMP Introduction Problem Solving Skills
  54.    wt: 3:   C LAMP Introduction Culture in Mathematics Education
  55.    wt: 3:   Ramblings Introduction Algebra Essay
  56.    wt: 3:   teaching tutoring algebraic reason
  57.    wt: 3:   three goals for Mathematics Education
  58.    wt: 3:   02 21 words for teachers
  59.    wt: 3:   02 20 mathematics education references
  60.    wt: 3:   three aims for mathematics students
  61.    wt: 3:   formal or informal peer review
  62.    wt: 3:   mathematics instruction in general
  63.    wt: 3:   words for mathematics instructor
  64.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  65.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  66.    wt: 3:   22 Student Centered Highschool Mathematics
  67.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  68.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  69.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  70.    wt: 3:   12 Goals and Objectives For Mathematics
  71.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  72.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  73.    wt: 3:   26 Function definitions done and coming
  74.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  75.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  76.    wt: 3:   2 Algebraic use of function notation
  77.    wt: 3:   2 quadratics graphing in general
  78.    wt: 3:   10 arctan left inverse of tangent Definition
  79.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  80.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  81.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  82.    wt: 3:   Straight Lines Instersection Solving Equations
  83.    wt: 3:   Straight Lines Intersection of
  84.    wt: 3:   12 Straight Lines Graphing mx plus b
  85.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  86.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  87.    wt: 3:   18 sum of sinusoidal waves as a single wave
  88.    wt: 3:   17C sine and cosine double triple angle formulas
  89.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  90.    wt: 3:   12 Graph of tangent function for one period
  91.    wt: 3:   10 Graphs of sines and cosines many periods
  92.    wt: 3:   9 Graphs of sine and cosine over one period
  93.    wt: 3:   7 period of sine and cosine
  94.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  95.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  96.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  97.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  98.    wt: 3:   11 sine and cosine double triple angle formulas
  99.    wt: 3:   10 sine cosine Angle Sum Formulas via cis
  100.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  101.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  102.    wt: 3:   22 Multiplication of Signed Numbers
  103.    wt: 3:   12 Real Numbers Line Signed Coordinates
  104.    wt: 3:   4 Location of Point in Decimal Addition
  105.    wt: 3:   3 Location of Point in Decimal Multiplication
  106.    wt: 3:   2 Counting Digits in Decimal Multiplication
  107.    wt: 3:   3 Multiplicative Counting Skills Principles
  108.    wt: 3:   1 The Counting Origins of Numbers
  109.    wt: 3:   9 Coordinates for Regions in Space
  110.    wt: 3:   5 Gaussian Elimination for 3 unknowns 2nd example
  111.    wt: 3:   13 Naming Identifying Formulas with Words
  112.    wt: 3:   7 Compound Interest Formula Introduction
  113.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  114.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  115.    wt: 3:   12 GCD 2700 288 via Prime
  116.    wt: 3:   4 signed coordinates for regions in space
  117.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  118.    wt: 3:   14 Adding and Subtracting with Like Denominators
  119.    wt: 3:   12 Adding Integers More Examples
  120.    wt: 3:   11 Adding Integers Formulas and Examples
  121.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  122.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  123.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  124.    wt: 3:   23 Remainder Arithmetic Modulo 2
  125.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  126.    wt: 3:   15 video Factors of 20 using Prime Factorization
  127.    wt: 3:   13 video Factors of 24 using prime
  128.    wt: 3:   9 22 Minute Subtraction Review Video
  129.    wt: 3:   7 Adding decimal fractions using decimal point
  130.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  131.    wt: 3:   8 Addition of Time Intervals via subtotaling
  132.    wt: 3:   4 Mixing and Changing Units of Time
  133.    wt: 3:   1 Intro of Kids To Time Date Skills
  134.    wt: 3:   1 Chain Rule in Reverse Integration Method
  135.    wt: 3:   29 Chain Rule Optional Reading
  136.    wt: 3:   25 Chain Rule Animated Examples Continued
  137.    wt: 3:   23 Chain Rule in general
  138.    wt: 3:   21 Chain Rule for powers
  139.    wt: 3:   20 Chain Rule for Pulley Systems
  140.    wt: 3:   19 Chain Rule for linear functions
  141.    wt: 3:   14 sine and cosine derivatives 2nd step
  142.    wt: 3:   3 Motivation for Limit Definition Take 2
  143.    wt: 3:   2 Motivation for Limit Definition Take 1
  144.    wt: 3:   11 Limits at infinity Three Examples
  145.    wt: 3:   10 Three one sided limits with infinite values
  146.    wt: 3:   3 Decimal insights for limits continuity convergence
  147.    wt: 3:   G.2 Lipshitz Conditions Integration Calculus Reform
  148.    wt: 3:   E2 Algebraic Properties of Limits
  149.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  150.    wt: 3:   Chapter 27 Shorthand Symbols as Pronouns
  151.    wt: 3:   Chapter 26 What is in chapters 27 to 31
  152.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  153.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  154.    wt: 3:   Chapter 20 Shorthand Symbols as Pronouns
  155.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  156.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  157.    wt: 3:   H more Routine to non routine problem solving
  158.    wt: 3:   C. Domino effect of being careful
  159.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  160.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  161.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  162.    wt: 3:   Systematic Algebra Skill Development Missing Links
  163.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  164.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  165.    wt: 3:   Talking pdf files for online lessons a webvideo alternative
  166.    wt: 2:   H LAMP Introduction Instructional Concepts
  167.    wt: 2:   E LAMP Introduction Modern Mathematics
  168.    wt: 2:   Ramblings Extrinsic numbers theory
  169.    wt: 2:   Skills Chapter 3 Algebra
  170.    wt: 2:   Skills Chapter 2 Geometry
  171.    wt: 2:   Skills Chapter 0 Introduction
  172.    wt: 2:   three goals to set for students
  173.    wt: 2:   links Education Resources online
  174.    wt: 2:   Mathematics Education Professors
  175.    wt: 2:   grouping students according to ability
  176.    wt: 2:   mathematics in context
  177.    wt: 2:   Education Reform Inconsistencies
  178.    wt: 2:   Secondary Three Mathematics
  179.    wt: 2:   geometric implications for algebra
  180.    wt: 2:   Lessening Algebra Difficulties
  181.    wt: 2:   04 29 New Mathematics Curriculum
  182.    wt: 2:   Education in mathematics science and technology
  183.    wt: 2:   cultivating intelligence
  184.    wt: 2:   need for a mixed mathematics curriculum
  185.    wt: 2:   chapitre 07 01 principle D induction mathematique
  186.    wt: 2:   2 Conductance Resistance Duality02
  187.    wt: 2:   2 Unlike resistors in parallel01
  188.    wt: 2:   C Electromotive force conventional current02
  189.    wt: 2:   Home Tutoring and Home Schooling
  190.    wt: 2:   24 Standards For Skill Develoment Take II
  191.    wt: 2:   24 Standards For Skill Develoment
  192.    wt: 2:   15 Counting For Parents
  193.    wt: 2:   10 Ends values for work study instruction
  194.    wt: 2:   4 Learning Takes Time and Effort
  195.    wt: 2:   3 Preparing for Science Studies
  196.    wt: 2:   1 Speaking Skills
  197.    wt: 2:   Ages 12 to 14 Skills with take home value
  198.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  199.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  200.    wt: 2:   23 Inverse Functions
  201.    wt: 2:   22 Square Root function graphically
  202.    wt: 2:   12 Function Domain Recognition Exercises
  203.    wt: 2:   7 Functions with finite domains
  204.    wt: 2:   5 Function notation for geometric transformations
  205.    wt: 2:   4 Function notation in and beyond mathematics
  206.    wt: 2:   3 Formula or function graphing exercise
  207.    wt: 2:   1 Geometric Introduction of Function Notation
  208.    wt: 2:   Introduction Reading Guide
  209.    wt: 2:   8 quadratics backward use of various formulas
  210.    wt: 2:   3 quadratics factoring by inspection
  211.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  212.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  213.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  214.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  215.    wt: 2:   8 Notes for instructors or tutors
  216.    wt: 2:   Rewriting algebraic substitution as function substitutions
  217.    wt: 2:   16 cotangent function Definition Graph and Inverse
  218.    wt: 2:   15 cosecant function Definition Graph and Inverse
  219.    wt: 2:   14 secant function Definition Graph and Inverse
  220.    wt: 2:   13 cosecant function Definition Graph and Inverse
  221.    wt: 2:   12 motivation for term arctan
  222.    wt: 2:   11 arctan left inverse of tangent Graph
  223.    wt: 2:   9 motivation for name arcsin
  224.    wt: 2:   5 Swapping Coordinates is a reflection
  225.    wt: 2:   2 cosine function more properties
  226.    wt: 2:   2 Radian Measure Numerical Value of one degree
  227.    wt: 2:   12 From Applied To Pure Mathematics
  228.    wt: 2:   4 Resultant of a Sum of Movements
  229.    wt: 2:   2 Signed Coordinates
  230.    wt: 2:   4 graphing y=Asin(x c)
  231.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  232.    wt: 2:   Parallel Lines and Interior Angles
  233.    wt: 2:   Straight Lines ASA Intersection Study More
  234.    wt: 2:   Straight Lines ASA Intersection Study
  235.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  236.    wt: 2:   C Straight Lines Slope from Coordinates
  237.    wt: 2:   B Straight Line Slope Scaling Properties More
  238.    wt: 2:   A Straight Line Slope Scaling Properties
  239.    wt: 2:   11 Straight Lines Graphing y=mx
  240.    wt: 2:   10 Straight Lines through Origin Equations More
  241.    wt: 2:   9 Straight Lines through Origin Equations
  242.    wt: 2:   8 Straight Lines Equation for vertical
  243.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  244.    wt: 2:   32 seven rows of pascals triangle
  245.    wt: 2:   29 secant cosecant and cotangent for acute angles
  246.    wt: 2:   25 tangent double angle formula Slope connection
  247.    wt: 2:   24 tangent Angle Difference Formula
  248.    wt: 2:   17F Law of cosines
  249.    wt: 2:   17E Trig Formulas for dot and cross Products
  250.    wt: 2:   15 sine cosine Complementary Angle Relations
  251.    wt: 2:   14 cosine even and sine and tangent are odd
  252.    wt: 2:   11 tangent function undefined when terminal side vertical
  253.    wt: 2:   20 N th Roots of Complex Numbers
  254.    wt: 2:   14 Law of cosines
  255.    wt: 2:   13 Trig Formulas for dot and cross Products
  256.    wt: 2:   5 An Easy Proof of the Distributive Law
  257.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  258.    wt: 2:   3 Trigonometric Ratios sine and cosine
  259.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  260.    wt: 2:   4 Similarity Definition with Coordinate
  261.    wt: 2:   12 Links Lessons elsewhere
  262.    wt: 2:   10 Midpoint of [a b] and [b a]
  263.    wt: 2:   8 Mid Point Formula
  264.    wt: 2:   5 Algebraic View of Slopes
  265.    wt: 2:   3 Slope product for perpendicular lines
  266.    wt: 2:   1 Numerical view of lines and their equations
  267.    wt: 2:   12 Spatial Coordinates
  268.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  269.    wt: 2:   8 Distance Between Points on a Line
  270.    wt: 2:   2 Cartesian Coordinates with signs
  271.    wt: 2:   10 Dropping a perpendicular to line
  272.    wt: 2:   2 Measuring Area Directly
  273.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  274.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  275.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  276.    wt: 2:   4 Commutative Law Groups Counting Form
  277.    wt: 2:   3 Inequalities Algebraically
  278.    wt: 2:   2 Algebraic View
  279.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  280.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  281.    wt: 2:   6 Compound Interest Forward and Backwards
  282.    wt: 2:   2 Linear Equation Literal Solution
  283.    wt: 2:   5 Equality in Algebra
  284.    wt: 2:   2 More and Less Than for Counts and Measures
  285.    wt: 2:   12 Real Number Additive Inverses or Negatives
  286.    wt: 2:   8 Coordinates for Maps and Planes
  287.    wt: 2:   7 Real Numbers as Line Cordinates
  288.    wt: 2:   2 Integers
  289.    wt: 2:   2 Essentially one exercises three with solution
  290.    wt: 2:   5 Algebraic Solutions Introduction
  291.    wt: 2:   2 Three Examples
  292.    wt: 2:   2 Three Examples
  293.    wt: 2:   Using Letters for Physical Quantities
  294.    wt: 2:   Formula Usage Show Work Format
  295.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  296.    wt: 2:   8 Compound Interest Formula Evaluation
  297.    wt: 2:   2 Another Rectangle Area Formula Example
  298.    wt: 2:   6 Three Notions of What is a Variable
  299.    wt: 2:   4 A Brief Story of numbers and algebra
  300.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  301.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  302.    wt: 2:   2 Least Common Multiple LCM intro via list method
  303.    wt: 2:   2 Counting with Tables and Trees I
  304.    wt: 2:   1 Counting and Counting Methods I
  305.    wt: 2:   3 signed coordinates for maps and planes
  306.    wt: 2:   2 signed and unsigned numbers as coordinates
  307.    wt: 2:   7 Converting or Changing Units
  308.    wt: 2:   22 Complex Compound Fractions
  309.    wt: 2:   21 Working With Signs
  310.    wt: 2:   21 Reciprocals for Fractions and Wholes
  311.    wt: 2:   20 Dividing Fractions the Why
  312.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  313.    wt: 2:   10 Integer Multiplication Formulas
  314.    wt: 2:   9 Multiplying Integers
  315.    wt: 2:   1 Integers as Coordinates
  316.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  317.    wt: 2:   26 Divisibility by 2 3 5 Example
  318.    wt: 2:   21 Remainder Arithmetic Modulo 3
  319.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  320.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  321.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  322.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  323.    wt: 2:   20 Uniqueness of Prime Factorization
  324.    wt: 2:   16 video Factors of 980 using prime
  325.    wt: 2:   14 video Factors of 24 Take II
  326.    wt: 2:   12 LCD GCD and LCM using Primes
  327.    wt: 2:   Long Division forwards and backwards Example 2
  328.    wt: 2:   2 Division with Single Digit Divisors
  329.    wt: 2:   C Counting Areas with Powers of Ten
  330.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  331.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  332.    wt: 2:   6. Counting and adding units and mixed units
  333.    wt: 2:   2 Decimal Counting Practices
  334.    wt: 2:   1. Explaining Addition Table
  335.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  336.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  337.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  338.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  339.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  340.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  341.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  342.    wt: 2:   Quick history of numbers and algebra
  343.    wt: 2:   011 Division of Time Intervals By Numbers
  344.    wt: 2:   010 Repeated Addition of Time Intervals
  345.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  346.    wt: 2:   7 Addition of Time Intervals
  347.    wt: 2:   2 Time and Date Matters in School
  348.    wt: 2:   Example 2 volume of a cone
  349.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  350.    wt: 2:   4 Definite Integrals Evaluation Exercises
  351.    wt: 2:   38 Formulas and derivatives for powers and roots
  352.    wt: 2:   31 Derivatives of inverse functions
  353.    wt: 2:   30Chain Rule A Proof
  354.    wt: 2:   24 Chain Rule Animated Examples
  355.    wt: 2:   18 Chain Rule Introduction
  356.    wt: 2:   15 sine and cosine derivatives 3rd step
  357.    wt: 2:   13 sine and cosine derivatives 1st step
  358.    wt: 2:   10 Power rule for negative integers
  359.    wt: 2:   6 Continuity at a point
  360.    wt: 2:   2 Algebraic codification
  361.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  362.    wt: 2:   F.4 Finite Covering Theorem
  363.    wt: 2:   D2 Limits of Monotone Sequences
  364.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  365.    wt: 2:   PostScript For and Against Decimal Perspectives
  366.    wt: 2:   Chapter 23 Links To Trigonometry
  367.    wt: 2:   Chapter 22 Complex Numbers
  368.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  369.    wt: 2:   Postscript For Better Performance
  370.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  371.    wt: 2:   Chapter 25. Mathematical Induction Examples
  372.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  373.    wt: 2:   Chapter 23. Notation For Sums
  374.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  375.    wt: 2:   Chapter 21. Third Reading Guide
  376.    wt: 2:   Chapter 18. Rules for Algebra
  377.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  378.    wt: 2:   Chapter 16. Painless Theorem Proving
  379.    wt: 2:   Chapter 15. Solving Linear Equations
  380.    wt: 2:   Chapter 12. Shorthand Usage Guide
  381.    wt: 2:   Chapter 10 Describing and Changing Calculations
  382.    wt: 2:   Chapter 4 Longer Chains of Reason
  383.    wt: 2:   Chapter 3 Chains of Reason
  384.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  385.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  386.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  387.    wt: 2:   Chapter 24 Direct and Indirect Reason
  388.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  389.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  390.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  391.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  392.    wt: 2:   Chapter 7 Longer Chains of Reason
  393.    wt: 2:   Chapter 6 Chains of Reason
  394.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  395.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  396.    wt: 2:   S Adding words to algebra
  397.    wt: 2:   R Why Learn Mathematics Skills
  398.    wt: 2:   O On Learning Mathematics and Science
  399.    wt: 2:   N Mathematics Prepare for College Studies
  400.    wt: 2:   N Improving Marks on Tests and Finals
  401.    wt: 2:   B. Domino effect of errors
  402.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  403.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  404.    wt: 2:   7 Games and Activities for Instruction
  405.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  406.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  407.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  408.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  409.    wt: 1:   Appendix 2 primary school Arithmetic 01
  410.    wt: 1:   K LAMP Musings Science Education
  411.    wt: 1:   I LAMP Introduction Study Habits
  412.    wt: 1:   F LAMP Introduction Prerequisites
  413.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  414.    wt: 1:   A Introduction Objectives
  415.    wt: 1:   Skills Chapter 5 Calculus
  416.    wt: 1:   Skills Chapter 4 Logic
  417.    wt: 1:   Skills Chapter 1 Arithmetic
  418.    wt: 1:   11 pure mathematics
  419.    wt: 1:   9 combinatorics probability sets
  420.    wt: 1:   7 logic review and decimals an odd combination
  421.    wt: 1:   4 algebra
  422.    wt: 1:   2 arithmetic with signed numbers
  423.    wt: 1:   permissions for teachers
  424.    wt: 1:   Applied Maths Program14092009 POMME variant
  425.    wt: 1:   activities for students
  426.    wt: 1:   site origins
  427.    wt: 1:   learning takes time
  428.    wt: 1:   Postscript 2007 01 10
  429.    wt: 1:   Maps Plans Drawings
  430.    wt: 1:   Secondary Two Mathematics
  431.    wt: 1:   Secondary One Mathematics
  432.    wt: 1:   talk the algebra talk
  433.    wt: 1:   three difficulties
  434.    wt: 1:   teaching tips
  435.    wt: 1:   mathematics curriculum shifts
  436.    wt: 1:   the trouble with algebra
  437.    wt: 1:   04 25 when to stop or suspend mathemat
  438.    wt: 1:   standards for course material
  439.    wt: 1:   Operational Viewpoint to Value
  440.    wt: 1:   Theory of Knowledge
  441.    wt: 1:   Four ways to improve education reform
  442.    wt: 1:   How to be a better instructor
  443.    wt: 1:   Leaner mathematics curriculum
  444.    wt: 1:   chapitre 12 00 les iles et division
  445.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  446.    wt: 1:   chapitre 06 00 Chaines de la raison
  447.    wt: 1:   chapitre 04 02 Deuxieme enigme
  448.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  449.    wt: 1:   chapitre 02 00 La Communication des idees
  450.    wt: 1:   chapitre 01 00 Introduction
  451.    wt: 1:   deux definitions pour variable
  452.    wt: 1:   2 Energy Power Heat07
  453.    wt: 1:   B Energy Power02
  454.    wt: 1:   D Wire Resistance Calculation02
  455.    wt: 1:   B Wire Resistance Qualitative02
  456.    wt: 1:   3 Like resistors in parallel
  457.    wt: 1:   1 Like resistors in series
  458.    wt: 1:   H Series Circuit02
  459.    wt: 1:   F Unlike Resistors in Series
  460.    wt: 1:   E Kirchoffs Second Law
  461.    wt: 1:   D Kirchoff First Law
  462.    wt: 1:   B Electromotive force conventional current01
  463.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  464.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  465.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  466.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  467.    wt: 1:   18 Primary School Mathematics
  468.    wt: 1:   17 Math Booklets for children and young teenagers
  469.    wt: 1:   16 Secondary Mathematics Tips
  470.    wt: 1:   9 Streaming by Student Cooperation
  471.    wt: 1:   8 The Effect of Negative Remarks
  472.    wt: 1:   5 Patience Please for Yourself and Your Charges
  473.    wt: 1:   Ages 12 to 14 Geometry
  474.    wt: 1:   Ages 12 to 14 Arithmetic
  475.    wt: 1:   Ages 10 to 12 Geometry
  476.    wt: 1:   Ages 10 to 12 Arithmetic
  477.    wt: 1:   sign monoticity analysis example 2
  478.    wt: 1:   19 Horizontal line rule and method
  479.    wt: 1:   18 Vertical Line Rule and Method
  480.    wt: 1:   17 Function maxima minima and their location
  481.    wt: 1:   15 Sign analysis of functions
  482.    wt: 1:   14 Surjections Injections Bijections
  483.    wt: 1:   11 Function Domain Range Source and Targets
  484.    wt: 1:   10 Interval Notation
  485.    wt: 1:   9 Set theory term relation possible origins
  486.    wt: 1:   8 Set view of relations and functions
  487.    wt: 1:   6 Set Existence Formation and Notation
  488.    wt: 1:   7 quadratic formulla derivation
  489.    wt: 1:   5 quadratics completing the square
  490.    wt: 1:   4 quadratics difference of two squares
  491.    wt: 1:   1 quadratics graphing exercises
  492.    wt: 1:   Quadratics in 10 steps
  493.    wt: 1:   11 Growth and Decay in Biology
  494.    wt: 1:   2 Square Root Simplification a prequel
  495.    wt: 1:   7 Links Lessons Elsewhere
  496.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  497.    wt: 1:   4 Polynomials Long division linear divisor
  498.    wt: 1:   2 Column Multiplication Method
  499.    wt: 1:   6 Graph of arccos function
  500.    wt: 1:   4 possible motivation for term arccos
  501.    wt: 1:   1 cosine function properties
  502.    wt: 1:   8 Radian Measures of Common Angles
  503.    wt: 1:   7 Radian Measures in special Triangles
  504.    wt: 1:   1 Degrees and Radians Introduction
  505.    wt: 1:   13 Velocity Vectors in Physics
  506.    wt: 1:   9 Head to Tail Coordinate View
  507.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  508.    wt: 1:   6 Vectors with Coordinates
  509.    wt: 1:   1 Unsigned Coordinates
  510.    wt: 1:   3 graphing y=f(x c) plus K
  511.    wt: 1:   1 graphing y=f(x a)
  512.    wt: 1:   Parallel Lines and Parallel Transversals
  513.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  514.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  515.    wt: 1:   14 Straight Lines Equations General Case
  516.    wt: 1:   7 Tangent Function is odd on this domain
  517.    wt: 1:   1 Straight Lines Slope Concept
  518.    wt: 1:   17 tangent function angle sum formulas
  519.    wt: 1:   30 unit circle calculation of six trigonometric functions
  520.    wt: 1:   13 Graph of tangent function many periods
  521.    wt: 1:   8 period of tangent function
  522.    wt: 1:   2 Quadrant I reference Angles
  523.    wt: 1:   1 Unit Points Reflections Rotations
  524.    wt: 1:   Unit Circle Development of Trigonometry
  525.    wt: 1:   21 Logarithms Powers and Exponentials
  526.    wt: 1:   19 N th Roots of Unity
  527.    wt: 1:   18 Sixth Roots of Unity
  528.    wt: 1:   17 Cube Roots of unity
  529.    wt: 1:   16 References and Originality Question
  530.    wt: 1:   8 Unit Circle Development of Trigonometry
  531.    wt: 1:   6 Field Properties of Complex Number
  532.    wt: 1:   2 Complex Numbers made easier we hope
  533.    wt: 1:   1 Rectangular Polar Coordinates Review
  534.    wt: 1:   8 Triangles Cascade Problem Solving
  535.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  536.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  537.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  538.    wt: 1:   12 Triangles Similarity More Problems
  539.    wt: 1:   11 Triangle Similarity Missing Side Problem
  540.    wt: 1:   9 Similarity of Triangles Usual Criteria
  541.    wt: 1:   8 Similarity of Triangles and Polygons
  542.    wt: 1:   6 Geometric Diagrams in Class
  543.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  544.    wt: 1:   3 Similarity by Design with coordinates
  545.    wt: 1:   2 Similarity By Design
  546.    wt: 1:   1 Early Concept of Like or Similar Shapes
  547.    wt: 1:   13 Pythagorean spatial distance formulas
  548.    wt: 1:   11 Triangle Inequality
  549.    wt: 1:   10 Pythagorean plane distance formula
  550.    wt: 1:   4 Polar Coordinates to and from
  551.    wt: 1:   3 Rectangular Coordinates Review
  552.    wt: 1:   1 Cartesian Coordinates sans signs
  553.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  554.    wt: 1:   PS H Distributive Law For Complex Numbers
  555.    wt: 1:   PS E Multiplication with Polar Coordinates
  556.    wt: 1:   PS D Addition with Cartesian Coordinates
  557.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  558.    wt: 1:   21 Parallelograms
  559.    wt: 1:   17 Right Bisectors of Triangle Sides
  560.    wt: 1:   14 Parallel Lines Postulate
  561.    wt: 1:   12 Side Angle Side Failure
  562.    wt: 1:   9 Construction of a right bisector
  563.    wt: 1:   3 Isometry of Triangles Congruence
  564.    wt: 1:   2 Correspondence between Triangles
  565.    wt: 1:   1 Initial Concepts and Terms
  566.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  567.    wt: 1:   6 Figuring with Maps Not to Scale
  568.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  569.    wt: 1:   musings do not puiblish real numbers
  570.    wt: 1:   A Modular and Remainder Arithmetic
  571.    wt: 1:   26 More Less Greater Than Comparison
  572.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  573.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  574.    wt: 1:   23 Distributive Law Two Derivations
  575.    wt: 1:   19 Signed Multiples of Vectors
  576.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  577.    wt: 1:   15 Head to Tails in place Addition Associative
  578.    wt: 1:   13 Arrows and Vectors in a Plane
  579.    wt: 1:   9 Division with Digits after Decimal Point
  580.    wt: 1:   8 Division and Mulplication of Compound Fractions
  581.    wt: 1:   1 Fractions with Finite Decimal Expansions
  582.    wt: 1:   C Three Decimal Subtraction Methods
  583.    wt: 1:   8 Column Multiplication Methods in General
  584.    wt: 1:   6 Column Methods for Decimal Multiplication
  585.    wt: 1:   5 Distributive Law for Whole Numbers
  586.    wt: 1:   5 Areas of Rectangles Revisited
  587.    wt: 1:   2 Fraction Operations Physical Development
  588.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  589.    wt: 1:   5 Proportionality in Equivalent Fractions
  590.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  591.    wt: 1:   5 Triangle Area Formula Backwards
  592.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  593.    wt: 1:   3 Linear Equation Literal Solution More
  594.    wt: 1:   1 Changing Calculations
  595.    wt: 1:   3 Product Axioms Two Forms
  596.    wt: 1:   2 Addition and Multiplication Axioms
  597.    wt: 1:   5 Greater More Less Than Signs in General
  598.    wt: 1:   4 Comparison of Negative Numbers
  599.    wt: 1:   5 Independent versus Dependent Variables
  600.    wt: 1:   4 Changing Letters
  601.    wt: 1:   3 Geometric Formulas and Function Notation
  602.    wt: 1:   2 Computation Rules Evaluation
  603.    wt: 1:   1 Formulas Dependence and Function Notation
  604.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  605.    wt: 1:   2 GE II Comparison
  606.    wt: 1:   4 Solving a triangular system exercise
  607.    wt: 1:   3 Solving triangular system example
  608.    wt: 1:   6 Algebraic Solution Example
  609.    wt: 1:   9 Three Examples
  610.    wt: 1:   6 Three Examples
  611.    wt: 1:   5 Three Examples
  612.    wt: 1:   11 Volume of Sphere
  613.    wt: 1:   10 Volume of Pyramid
  614.    wt: 1:   9 Volume of Cone
  615.    wt: 1:   5 Box Volume Formula Example
  616.    wt: 1:   4 Circle Area Formula Example
  617.    wt: 1:   3 Triangle Area Formula Example
  618.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  619.    wt: 1:   9 Sets in Probability and Statistics
  620.    wt: 1:   8 Sets of Numbers
  621.    wt: 1:   3 Counting with Sets etc
  622.    wt: 1:   2 Venn Diagrams
  623.    wt: 1:   1 Finite Sets
  624.    wt: 1:   5 Talking about Numbers and Quantities
  625.    wt: 1:   3 Adding Words To Arithmetic
  626.    wt: 1:   2 What is a Variable
  627.    wt: 1:   arithmetic videos Real Player Format
  628.    wt: 1:   4 Greater More Less Than Signs in General
  629.    wt: 1:   3 Comparison of Negative Numbers
  630.    wt: 1:   2 More and Less Than with Unlike Signs
  631.    wt: 1:   1 More and Less Than for Counts and Measures
  632.    wt: 1:   3 Properties of Square Roots with example
  633.    wt: 1:   2 Square Roots with Prime
  634.    wt: 1:   1 Squares and Square Roots Introduction
  635.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  636.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  637.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  638.    wt: 1:   4 LCM of 8 and 10 via Prime
  639.    wt: 1:   1 Least Common Multiples LCM Introduction
  640.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  641.    wt: 1:   4 Counting with Trees Product Rule Take I
  642.    wt: 1:   3 Counting with Tables and Trees II
  643.    wt: 1:   10 dividing signed numbers
  644.    wt: 1:   9 subtracting signed numbers
  645.    wt: 1:   8 multiplying signed numbers
  646.    wt: 1:   7 negative and additive inverse
  647.    wt: 1:   6 adding signed numbers
  648.    wt: 1:   5 lengths and signs of numbers
  649.    wt: 1:   6 Simplification of Fractions with Units
  650.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  651.    wt: 1:   3 Multiplying Units and Numbers
  652.    wt: 1:   2 Equality and Units
  653.    wt: 1:   D Three Term Ratios
  654.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  655.    wt: 1:   19 Dividing Fractions How TO
  656.    wt: 1:   13 Fraction Comparison Algebraic View
  657.    wt: 1:   12 Fraction Comparison
  658.    wt: 1:   11 Simplification an Algebraic View
  659.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  660.    wt: 1:   6 Multiplication of Mixed Numbers
  661.    wt: 1:   6 Multiplication Algebraically Take II
  662.    wt: 1:   3 Unit fraction of a fraction
  663.    wt: 1:   2 Unit Fraction Multiplication
  664.    wt: 1:   D Remainders Modulo 11 Pair Rule
  665.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  666.    wt: 1:   B Integer Long Division Multiple Choices
  667.    wt: 1:   13 Subtraction with Additive Inverse
  668.    wt: 1:   8 Multiplication by Signed Numbers Integers
  669.    wt: 1:   5 Zero Movement and Additive Inverses
  670.    wt: 1:   4 Adding Movements wiht opposite directions
  671.    wt: 1:   3 Adding Movements with same direction
  672.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  673.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  674.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  675.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  676.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  677.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  678.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  679.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  680.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  681.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  682.    wt: 1:   5 Remainder Arithmetic Modulo 5
  683.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  684.    wt: 1:   1 Remainder Arithmetic Modulo 10
  685.    wt: 1:   17 Identify and Count Factors using Primes
  686.    wt: 1:   10 video Prime Factorization upto 23 squared
  687.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  688.    wt: 1:   4 video Prime Factorization Introduction
  689.    wt: 1:   2 Prime and Composites less than 16
  690.    wt: 1:   Long Division forwards and backwards Example 3
  691.    wt: 1:   Long Division forwards and backwards Example 1
  692.    wt: 1:   12 Why Long Division Works Take III
  693.    wt: 1:   11 Another Single Digit Divisor Example
  694.    wt: 1:   8 Correcting the Mistake
  695.    wt: 1:   7 Long Divison Mistake Catching
  696.    wt: 1:   5 Long Division Include Zeroes or not
  697.    wt: 1:   4 Division with 2 Digit Divsors
  698.    wt: 1:   3 Division Single Digit Divisor Example
  699.    wt: 1:   B Powers of Ten
  700.    wt: 1:   A Elementary Basis for Multiplication Methods
  701.    wt: 1:   4 Two and Three Digit Multipliers
  702.    wt: 1:   2 One Digit Multipliers
  703.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  704.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  705.    wt: 1:   Video Power Notation in Decimal Expansion
  706.    wt: 1:   8 Subtraction with Units of Measure
  707.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  708.    wt: 1:   5 A Tip for Efficent Subtraction
  709.    wt: 1:   2 Subtraction Easy Case Examples
  710.    wt: 1:   8 What skills and work habits to require
  711.    wt: 1:   11 Place Value SI Standard International way
  712.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  713.    wt: 1:   Formula Evaluation how to show work
  714.    wt: 1:   The 20 Times Table
  715.    wt: 1:   The 12 Times Table Visually
  716.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  717.    wt: 1:   016 Numbering Occidental Calendar Days
  718.    wt: 1:   015 School and work day counting tables
  719.    wt: 1:   014 Counting Days with Calendars
  720.    wt: 1:   3 Units and Lengths of Time
  721.    wt: 1:   Example 1 volume of a pyramid
  722.    wt: 1:   Volume of Solid by Cross Sections Lesson
  723.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  724.    wt: 1:   Example 4 with x function of y
  725.    wt: 1:   Example 2
  726.    wt: 1:   Area Between Curves Lesson Take 2
  727.    wt: 1:   A Related Material in Volume 3
  728.    wt: 1:   3 Two Chain Rule Method Exercises
  729.    wt: 1:   A Related lessons in Volume 3
  730.    wt: 1:   2 Second derivative test prequel
  731.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  732.    wt: 1:   A Chain Rule Real Player video examples
  733.    wt: 1:   34 Derivative of exponential function
  734.    wt: 1:   33 Chain Rule Real Player video examples
  735.    wt: 1:   12 Quotient rule examples
  736.    wt: 1:   8 Differentiation of polynomials
  737.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  738.    wt: 1:   9 Limits Continuity and Composition
  739.    wt: 1:   5 Jumps and absence of unlimited error control
  740.    wt: 1:   1 Numerical introduction
  741.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  742.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  743.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  744.    wt: 1:   G.3 Constant Difference Theorem Proof
  745.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  746.    wt: 1:   F.5a Equicontinuity Theorems
  747.    wt: 1:   F.3 Intermediate Value Theorem
  748.    wt: 1:   F.2 Closed Range Theorem
  749.    wt: 1:   F.1 What Functions are Continuous
  750.    wt: 1:   E1 Error Control Inequalities
  751.    wt: 1:   C Triangle Inequalities
  752.    wt: 1:   A1. Introduction
  753.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  754.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  755.    wt: 1:   Chapter 21 Arrow Addition
  756.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  757.    wt: 1:   Chapter 18. Slopes Areas Integration
  758.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  759.    wt: 1:   Chapter 12. Units and Slopes
  760.    wt: 1:   Chapter 11. Graphing Slope versus Position
  761.    wt: 1:   Chapter 9 About First Courses in Calculus
  762.    wt: 1:   Chapter 8. Slope Interpretation
  763.    wt: 1:   Chapter 2. Slopes and Ski Trails
  764.    wt: 1:   Chapter 1.Introduction
  765.    wt: 1:   Foreword
  766.    wt: 1:   Postscript More on Better Performance
  767.    wt: 1:   Appendix E. How To Study Mathematics and Why
  768.    wt: 1:   Appendix D. What to do in School and Why
  769.    wt: 1:   Chapter 31 Direct and Indirect Reason
  770.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  771.    wt: 1:   Chapter 28 Occurrence Tables
  772.    wt: 1:   Chapter 20. Degrees and Radians
  773.    wt: 1:   Chapter 13. Second Reading Guide
  774.    wt: 1:   Chapter 11. Why Shorthand
  775.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  776.    wt: 1:   Solutions For Arithmetic Exercises
  777.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  778.    wt: 1:   Chapter 6 Change of Language
  779.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  780.    wt: 1:   Foreword
  781.    wt: 1:   Annotated Links to Material Elsehwere
  782.    wt: 1:   Postscript B Mathematics Education References
  783.    wt: 1:   Postscript A Three Remarks
  784.    wt: 1:   Chapter 12 Four Phases
  785.    wt: 1:   Chapter 11 Elementary Instruction
  786.    wt: 1:   Chapter 8 Modern Instruction
  787.    wt: 1:   Chapter 7 Two Treatments of Geometry
  788.    wt: 1:   Chapter 3 Algebra Difficulties
  789.    wt: 1:   Chapter 1 Introduction
  790.    wt: 1:   Foreword
  791.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  792.    wt: 1:   Postscript C Consistency as a Tool for Reason
  793.    wt: 1:   Postscript B More on Story Telling and Reason
  794.    wt: 1:   Postscript A Story Telling
  795.    wt: 1:   Chapter 23 Truth Tables
  796.    wt: 1:   Chapter 21 Occurrence Tables
  797.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  798.    wt: 1:   Chapter 8 Change of Language
  799.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  800.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  801.    wt: 1:   Chapter 2 Skill Development
  802.    wt: 1:   Chapter 1 Introduction
  803.    wt: 1:   Three Remarks
  804.    wt: 1:   Foreword
  805.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  806.    wt: 1:   L Skills with take home value
  807.    wt: 1:   J. More on written work and showing skill
  808.    wt: 1:   I. Logic and language skills
  809.    wt: 1:   H Jigsaw puzzles and problem solving
  810.    wt: 1:   How to Build Skills and Confidence
  811.    wt: 1:   Chapter 6 More Algebra and Geometry
  812.    wt: 1:   Chapter 3 Algebra Starter Lessons
  813.    wt: 1:   Chapter 2 Why Sets
  814.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  815.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  816.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  817.    wt: 1:   Mathematics Education References
  818.    wt: 1:   Mathematics Education References
  819.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  820.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  821.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  822.    wt: 1:   More Algebra and Slope based Calculus Preview
  823.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  824.    wt: 1:   The Math Forum and Site Content

Extended Search

1073 matches:

  1.    wt: 9:   3 Multiplicative Counting Skills Principles
  2.    wt: 9:   1 The Counting Origins of Numbers
  3.    wt: 9:   2 Essentially one exercises three with solution
  4.    wt: 9:   6 Algebraic Solution Example
  5.    wt: 9:   1 Written work formats for developing and showing skill
  6.    wt: 9:   9 22 Minute Subtraction Review Video
  7.    wt: 9:   Chapter 25. Mathematical Induction Examples
  8.    wt: 9:   Chapter 24. Personal Investment and Pension EGS
  9.    wt: 9:   Chapter 23. Notation For Sums
  10.    wt: 9:   Chapter 21. Third Reading Guide
  11.    wt: 9:   Chapter 14. Forward and Backward Use of a Formula
  12.    wt: 9:   Postscript Unifying Theme A Fourth Skill For Algebra
  13.    wt: 9:   Chapter 12. Shorthand Usage Guide
  14.    wt: 9:   Chapter 2 Implication Rules Forwards and Backwards
  15.    wt: 8:   23 sine and cosine of 180 plus 22.5 degrees
  16.    wt: 8:   22 sine of 22.5 degrees via half angle formulas
  17.    wt: 8:   21 Addition of Multiples of a Single Vector
  18.    wt: 8:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  19.    wt: 8:   6 Infinite Decimals Ending in 9 repeating
  20.    wt: 8:   4 Commutative Law Groups Counting Form
  21.    wt: 8:   5 Gaussian Elimination for 3 unknowns 2nd example
  22.    wt: 8:   4 Four Examples Fractional Coefficients
  23.    wt: 8:   3 Four Examples
  24.    wt: 8:   1 Proper Equal Sign Usage
  25.    wt: 8:   13 Naming Identifying Formulas with Words
  26.    wt: 8:   7 Compound Interest Formula Introduction
  27.    wt: 8:   Appendix 2 Three Decimal Subtraction Methods
  28.    wt: 8:   2 Subtraction Easy Case Examples
  29.    wt: 8:   7 Adding decimal fractions using decimal point
  30.    wt: 8:   2 Decimal Counting Practices
  31.    wt: 8:   Postscript For Better Performance
  32.    wt: 8:   Appendix A. Reading Guide For Next Appendices
  33.    wt: 8:   Chapter 29 Contrapositive and Vacuously True Implications
  34.    wt: 8:   Chapter 28 Occurrence Tables
  35.    wt: 8:   Chapter 20. Degrees and Radians
  36.    wt: 8:   Chapter 18. Rules for Algebra
  37.    wt: 8:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  38.    wt: 8:   Chapter 16. Painless Theorem Proving
  39.    wt: 8:   Chapter 15. Solving Linear Equations
  40.    wt: 8:   Chapter 10 Describing and Changing Calculations
  41.    wt: 8:   Chapter 4 Longer Chains of Reason
  42.    wt: 8:   Chapter 3 Chains of Reason
  43.    wt: 8:   Chapter 1 Introduction to Chapters 2 to 6
  44.    wt: 7:   three kinds of reason in mathematics
  45.    wt: 7:   2 Graphing y=Af(x) Vertical Scaling
  46.    wt: 7:   13 Straight Lines Finding Equations from 2 points
  47.    wt: 7:   3 Straight Lines Slope as Tangent of Inclination Angle
  48.    wt: 7:   26 Formulas for products of sines and cosines
  49.    wt: 7:   12 Real Numbers Line Signed Coordinates
  50.    wt: 7:   C Three Decimal Subtraction Methods
  51.    wt: 7:   8 Column Multiplication Methods in General
  52.    wt: 7:   6 Column Methods for Decimal Multiplication
  53.    wt: 7:   5 Distributive Law for Whole Numbers
  54.    wt: 7:   3 Inequalities Algebraically
  55.    wt: 7:   9 Circle Area and Perimeter Formula Backwards Forwards
  56.    wt: 7:   7 Pythagorean Theorem Chinese Square Proof
  57.    wt: 7:   6 Compound Interest Forward and Backwards
  58.    wt: 7:   2 Linear Equation Literal Solution
  59.    wt: 7:   2 GE II Comparison
  60.    wt: 7:   4 Solving a triangular system exercise
  61.    wt: 7:   3 Solving triangular system example
  62.    wt: 7:   2 Three Examples
  63.    wt: 7:   12 Cone Cylinder Sphere Lesson Idea
  64.    wt: 7:   8 Compound Interest Formula Evaluation
  65.    wt: 7:   2 Another Rectangle Area Formula Example
  66.    wt: 7:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  67.    wt: 7:   18 Remainder Arithmetic Rule of 9 for checking sums II
  68.    wt: 7:   8 Subtraction with Units of Measure
  69.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  70.    wt: 7:   5 A Tip for Efficent Subtraction
  71.    wt: 7:   Appendix 1 Counting Revisited 15 minute video
  72.    wt: 7:   6. Counting and adding units and mixed units
  73.    wt: 7:   1. Explaining Addition Table
  74.    wt: 7:   16 Derivatives of reciprocals of sine and cosine
  75.    wt: 7:   Postscript More on Better Performance
  76.    wt: 7:   Appendix E. How To Study Mathematics and Why
  77.    wt: 7:   Appendix D. What to do in School and Why
  78.    wt: 7:   Appendix B. How To Learn
  79.    wt: 7:   Chapter 31 Direct and Indirect Reason
  80.    wt: 7:   Chapter 13. Second Reading Guide
  81.    wt: 7:   Chapter 11. Why Shorthand
  82.    wt: 7:   Chapter 9 Talking about Numbers or Quantities
  83.    wt: 7:   Solutions For Arithmetic Exercises
  84.    wt: 7:   Chapter 7 Prep for Calculus Arithmetic Exercises
  85.    wt: 7:   Chapter 6 Change of Language
  86.    wt: 7:   Chapter 5 Islands and Divisions of Knowledge
  87.    wt: 7:   Foreword
  88.    wt: 7:   Chapter 2 For and Against Mathematics
  89.    wt: 6:   three goals for Mathematics Education
  90.    wt: 6:   Prequel In For A Penny In For A Pound
  91.    wt: 6:   fairness and inductive principles for instruction
  92.    wt: 6:   20 Interchanging coordinates a reflection
  93.    wt: 6:   7 arcsin left inverse of sine Definition
  94.    wt: 6:   4 graphing y=Asin(x c)
  95.    wt: 6:   Analytic View of Triangle Construction or Line Instersection More
  96.    wt: 6:   Straight Lines ASA Intersection Study More
  97.    wt: 6:   Straight Lines Instersection Solving Equations
  98.    wt: 6:   Straight Lines Intersection of
  99.    wt: 6:   6 Tangent Function Inclination Angle Take 2
  100.    wt: 6:   28 Expressing products of sines cosines as sums
  101.    wt: 6:   27 Logarithmic use of products of sines and cosines
  102.    wt: 6:   12 cis formulas for sine cosines and tangent
  103.    wt: 6:   6 Intersection of lines by solving linear systems
  104.    wt: 6:   2 point slope equation for a line
  105.    wt: 6:   22 Multiplication of Signed Numbers
  106.    wt: 6:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  107.    wt: 6:   4 Location of Point in Decimal Addition
  108.    wt: 6:   3 Location of Point in Decimal Multiplication
  109.    wt: 6:   2 Counting Digits in Decimal Multiplication
  110.    wt: 6:   E Long Division Methods more
  111.    wt: 6:   D Long Division Methods
  112.    wt: 6:   B Decimal Comparison and Subtraction
  113.    wt: 6:   A Decimal Addition Columm Methods
  114.    wt: 6:   7 Decimals Multiplication Methods Examples
  115.    wt: 6:   5 Areas of Rectangles Revisited
  116.    wt: 6:   2 Fraction Operations Physical Development
  117.    wt: 6:   1 Decimals Modular and Remainder Arithmetic
  118.    wt: 6:   2 Algebraic View
  119.    wt: 6:   8 Pythagorean Relation Forwards Backwards
  120.    wt: 6:   5 Triangle Area Formula Backwards
  121.    wt: 6:   4 Rectangle Area and Like Formulas Backwards
  122.    wt: 6:   3 Linear Equation Literal Solution More
  123.    wt: 6:   1 Changing Calculations
  124.    wt: 6:   3 Gaussian Elimination 3 unknowns first example
  125.    wt: 6:   1 Essentially One Unknown
  126.    wt: 6:   Using Letters for Physical Quantities
  127.    wt: 6:   Formula Usage Show Work Format
  128.    wt: 6:   11 Volume of Sphere
  129.    wt: 6:   10 Volume of Pyramid
  130.    wt: 6:   9 Volume of Cone
  131.    wt: 6:   5 Box Volume Formula Example
  132.    wt: 6:   4 Circle Area Formula Example
  133.    wt: 6:   3 Triangle Area Formula Example
  134.    wt: 6:   1 Three Skills For Algebra
  135.    wt: 6:   2 More and Less Than with Unlike Signs
  136.    wt: 6:   12 Adding Integers More Examples
  137.    wt: 6:   2 Integers Multiplies of a Unit Moverment
  138.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  139.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  140.    wt: 6:   Long Division forwards and backwards Example 2
  141.    wt: 6:   2 Division with Single Digit Divisors
  142.    wt: 6:   Video Power Notation in Decimal Expansion
  143.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  144.    wt: 6:   Subtraction with J Conversions Example
  145.    wt: 6:   Subtraction Another Video Lesson
  146.    wt: 6:   6 Subtraction with Conversion Example with Exercises
  147.    wt: 6:   4 Subtraction with Conversions Borrows and Letter J
  148.    wt: 6:   3 Harder Cases Convert to Compare and Subtract
  149.    wt: 6:   1 Comparison and Subtraction Easy Direct Cases
  150.    wt: 6:   8 What skills and work habits to require
  151.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  152.    wt: 6:   28 Chain Rule Preparation for a Proof
  153.    wt: 6:   27 Chain Rule sinusoidal outer inner functions EGS
  154.    wt: 6:   26 Chain Rule Recognising outer inner functions
  155.    wt: 6:   22 Chain Rule for polynomials
  156.    wt: 6:   21 Chain Rule for powers
  157.    wt: 6:   17 Derivatives of quotients of sine and cosine
  158.    wt: 6:   Appendix C. How to Read
  159.    wt: 6:   Chapter 30 Truth Tables
  160.    wt: 6:   Chapter 19. Functions and Sets
  161.    wt: 6:   Postscript What is a Variable
  162.    wt: 6:   4 Money Matters Saving Earning Buying Selling and Budgets
  163.    wt: 5:   teaching tutoring algebraic reason
  164.    wt: 5:   Lessening Algebra Difficulties
  165.    wt: 5:   02 21 words for teachers
  166.    wt: 5:   02 20 mathematics education references
  167.    wt: 5:   three aims for mathematics students
  168.    wt: 5:   Different Kinds of Reasoning in maths
  169.    wt: 5:   22 Student Centered Highschool Mathematics
  170.    wt: 5:   2 Reading and Writing Skills
  171.    wt: 5:   Ages 12 to 14 Skills with take home value
  172.    wt: 5:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  173.    wt: 5:   26 Function definitions done and coming
  174.    wt: 5:   24 Monotoncity Injectivity and Inverse Functions
  175.    wt: 5:   22 Square Root function graphically
  176.    wt: 5:   21 Graphs of functions given by Horizontal Line Method
  177.    wt: 5:   16 Increasing or decreasing on intervals
  178.    wt: 5:   2 Algebraic use of function notation
  179.    wt: 5:   9 Formulas for Real Exponents with Logarithms
  180.    wt: 5:   8 Formulas for Fractional Exponents with Logarithms
  181.    wt: 5:   7 Formulas for Roots with Logarithms Derivation
  182.    wt: 5:   6 Formulas for Even and Odd Roots with Logarithms
  183.    wt: 5:   2 Square Root Simplification a prequel
  184.    wt: 5:   10 arctan left inverse of tangent Definition
  185.    wt: 5:   8 arcsin left inverse of sine Graph
  186.    wt: 5:   3 Left Inverse of cosine arccos definition
  187.    wt: 5:   3 graphing y=f(x c) plus K
  188.    wt: 5:   1 graphing y=f(x a)
  189.    wt: 5:   Straight Lines ASA Intersection Study
  190.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  191.    wt: 5:   C Straight Lines Slope from Coordinates
  192.    wt: 5:   B Straight Line Slope Scaling Properties More
  193.    wt: 5:   A Straight Line Slope Scaling Properties
  194.    wt: 5:   12 Straight Lines Graphing mx plus b
  195.    wt: 5:   11 Straight Lines Graphing y=mx
  196.    wt: 5:   8 Straight Lines Equation for vertical
  197.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  198.    wt: 5:   33 sines and cosines of 2A 3A 4A 5A
  199.    wt: 5:   21 sine and cosine Half Angle Formulas
  200.    wt: 5:   4 Equations for lines three forms
  201.    wt: 5:   19 Signed Multiples of Vectors
  202.    wt: 5:   16 Collinear Horizontal Arrows Vectors
  203.    wt: 5:   15 Head to Tails in place Addition Associative
  204.    wt: 5:   13 Arrows and Vectors in a Plane
  205.    wt: 5:   7 Arithmetic with Infinite Decimal Expansions
  206.    wt: 5:   5 Fractions with Infinite Decimal Expansions
  207.    wt: 5:   4 Fraction Operations Axiomatic Development
  208.    wt: 5:   2 More and Less Than for Counts and Measures
  209.    wt: 5:   12 Real Number Additive Inverses or Negatives
  210.    wt: 5:   9 Coordinates for Regions in Space
  211.    wt: 5:   4 GE III Animated Examples
  212.    wt: 5:   3 GE III Equation Addition and Multiplication
  213.    wt: 5:   1 GE Substitution four examples
  214.    wt: 5:   9 Three Examples
  215.    wt: 5:   6 Three Examples
  216.    wt: 5:   5 Three Examples
  217.    wt: 5:   6 Pythagorean Hypotenuse Calculation Example
  218.    wt: 5:   4 Greater More Less Than Signs in General
  219.    wt: 5:   3 Comparison of Negative Numbers
  220.    wt: 5:   1 More and Less Than for Counts and Measures
  221.    wt: 5:   16 GCD and LCM of 650 225 via Prime
  222.    wt: 5:   11 Adding Integers Formulas and Examples
  223.    wt: 5:   27 Divisibility by 2 3 6 5 9 10 Example
  224.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  225.    wt: 5:   24 Divisibility Tests for 2 3 5 9 10
  226.    wt: 5:   23 Remainder Arithmetic Modulo 2
  227.    wt: 5:   22 Remainder Arithmetic Modulo 3 more
  228.    wt: 5:   4 Remainder Arithmetic Modulo 10 in general
  229.    wt: 5:   2 Remainder Arithmetic Modulo 10 more
  230.    wt: 5:   20 Uniqueness of Prime Factorization
  231.    wt: 5:   15 video Factors of 20 using Prime Factorization
  232.    wt: 5:   13 video Factors of 24 using prime
  233.    wt: 5:   12 LCD GCD and LCM using Primes
  234.    wt: 5:   Long Division forwards and backwards Example 3
  235.    wt: 5:   12 Why Long Division Works Take III
  236.    wt: 5:   C Counting Areas with Powers of Ten
  237.    wt: 5:   2 One Digit Multipliers
  238.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  239.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  240.    wt: 5:   5. How to add decimals C. Examples
  241.    wt: 5:   4. How to add with decimals B with conversions
  242.    wt: 5:   3. How to add with decimals A sans conversions
  243.    wt: 5:   012 Division of Time Intervals by Time Intervals
  244.    wt: 5:   2 Indefinite Integrals Exercises
  245.    wt: 5:   1 Chain Rule in Reverse Integration Method
  246.    wt: 5:   30Chain Rule A Proof
  247.    wt: 5:   29 Chain Rule Optional Reading
  248.    wt: 5:   25 Chain Rule Animated Examples Continued
  249.    wt: 5:   23 Chain Rule in general
  250.    wt: 5:   20 Chain Rule for Pulley Systems
  251.    wt: 5:   19 Chain Rule for linear functions
  252.    wt: 5:   14 sine and cosine derivatives 2nd step
  253.    wt: 5:   10 Power rule for negative integers
  254.    wt: 5:   3 Motivation for Limit Definition Take 2
  255.    wt: 5:   2 Motivation for Limit Definition Take 1
  256.    wt: 5:   11 Limits at infinity Three Examples
  257.    wt: 5:   3 Decimal insights for limits continuity convergence
  258.    wt: 5:   G.2 Lipshitz Conditions Integration Calculus Reform
  259.    wt: 5:   Chapter 22 Complex Numbers
  260.    wt: 5:   Chapter 22 Contrapositive and Vacuously True Implications
  261.    wt: 5:   Chapter 20 Shorthand Symbols as Pronouns
  262.    wt: 5:   6 Measuring via counting or arithmetic the role of fractions
  263.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  264.    wt: 5:   2 Identifying Size and Position Place and Spatial Sense
  265.    wt: 5:   Helping the Blind in Logic and Mathematics
  266.    wt: 5:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  267.    wt: 5:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  268.    wt: 4:   J LAMP Introduction Extrinsic Origins
  269.    wt: 4:   G LAMP Introduction Problem Solving Skills
  270.    wt: 4:   C LAMP Introduction Culture in Mathematics Education
  271.    wt: 4:   Ramblings Introduction Algebra Essay
  272.    wt: 4:   Skills Chapter 2 Geometry
  273.    wt: 4:   2 arithmetic with signed numbers
  274.    wt: 4:   Secondary Three Mathematics
  275.    wt: 4:   geometric implications for algebra
  276.    wt: 4:   the trouble with algebra
  277.    wt: 4:   04 29 New Mathematics Curriculum
  278.    wt: 4:   formal or informal peer review
  279.    wt: 4:   mathematics instruction in general
  280.    wt: 4:   words for mathematics instructor
  281.    wt: 4:   27 Graduated Correction and Penalties for Young Offenders
  282.    wt: 4:   25 Mathematics Education Leaving A Good Impression
  283.    wt: 4:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  284.    wt: 4:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  285.    wt: 4:   12 Goals and Objectives For Mathematics
  286.    wt: 4:   Ages 12 to 14 Geometry
  287.    wt: 4:   Ages 12 to 14 Arithmetic
  288.    wt: 4:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  289.    wt: 4:   25 Absolute Value greatest integer and saw tooth functions
  290.    wt: 4:   23 Inverse Functions
  291.    wt: 4:   12 Function Domain Recognition Exercises
  292.    wt: 4:   2 quadratics graphing in general
  293.    wt: 4:   11 Growth and Decay in Biology
  294.    wt: 4:   16 cotangent function Definition Graph and Inverse
  295.    wt: 4:   15 cosecant function Definition Graph and Inverse
  296.    wt: 4:   14 secant function Definition Graph and Inverse
  297.    wt: 4:   13 cosecant function Definition Graph and Inverse
  298.    wt: 4:   12 motivation for term arctan
  299.    wt: 4:   11 arctan left inverse of tangent Graph
  300.    wt: 4:   Parallel Lines and Alternating Corresponding Angles
  301.    wt: 4:   Parallel Lines and Interior Angles
  302.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  303.    wt: 4:   SAS Method For Isometric Or Proportional Triangle Construction
  304.    wt: 4:   10 Straight Lines through Origin Equations More
  305.    wt: 4:   9 Straight Lines through Origin Equations
  306.    wt: 4:   7 Tangent Function is odd on this domain
  307.    wt: 4:   35 sines and cosines of 2A 3A 4A 5A
  308.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  309.    wt: 4:   20 sine and cosine Double Angle Formulas
  310.    wt: 4:   17D cis formulas for sine cosines and tangent
  311.    wt: 4:   5 sines and cosines for reference angle 60 degrees
  312.    wt: 4:   2 Similar Triangles Equality of Corresponding Side Ratios
  313.    wt: 4:   12 Links Lessons elsewhere
  314.    wt: 4:   9 Midpoint Coordinates Half Endpoint Sum
  315.    wt: 4:   12 Spatial Coordinates
  316.    wt: 4:   2 Cartesian Coordinates with signs
  317.    wt: 4:   PS H Distributive Law For Complex Numbers
  318.    wt: 4:   PS E Multiplication with Polar Coordinates
  319.    wt: 4:   PS D Addition with Cartesian Coordinates
  320.    wt: 4:   PS C Similarity Use Recognize it in Trigonometry
  321.    wt: 4:   PS B Parallelogram Construction Methods
  322.    wt: 4:   21 Parallelograms
  323.    wt: 4:   12 Side Angle Side Failure
  324.    wt: 4:   10 Dropping a perpendicular to line
  325.    wt: 4:   2 Correspondence between Triangles
  326.    wt: 4:   musings do not puiblish real numbers
  327.    wt: 4:   A Modular and Remainder Arithmetic
  328.    wt: 4:   26 More Less Greater Than Comparison
  329.    wt: 4:   25 Mid way Convergence to Axiomatic Approach
  330.    wt: 4:   24 Signed Numbers Arithmmetic Properties
  331.    wt: 4:   23 Distributive Law Two Derivations
  332.    wt: 4:   18 Geometrically Why Vector Addition Commutes
  333.    wt: 4:   17 Arrows Rotate to Reverse with Length Unchanged
  334.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  335.    wt: 4:   11 Signed Number Addition and Addition Properties
  336.    wt: 4:   9 Division with Digits after Decimal Point
  337.    wt: 4:   8 Division and Mulplication of Compound Fractions
  338.    wt: 4:   1 Fractions with Finite Decimal Expansions
  339.    wt: 4:   5 Proportionality in Equivalent Fractions
  340.    wt: 4:   5 Equality in Algebra
  341.    wt: 4:   5 Greater More Less Than Signs in General
  342.    wt: 4:   4 Comparison of Negative Numbers
  343.    wt: 4:   8 Coordinates for Maps and Planes
  344.    wt: 4:   7 Real Numbers as Line Cordinates
  345.    wt: 4:   2 Integers
  346.    wt: 4:   More Exercises
  347.    wt: 4:   Simple Exercises
  348.    wt: 4:   Skill Development Notes
  349.    wt: 4:   10 One Example
  350.    wt: 4:   8 One Example
  351.    wt: 4:   7 Two Examples
  352.    wt: 4:   4 Two Examples
  353.    wt: 4:   3 Two Examples
  354.    wt: 4:   10 Set View of Wordy Extensions To Arithmetic
  355.    wt: 4:   9 Sets in Probability and Statistics
  356.    wt: 4:   8 Sets of Numbers
  357.    wt: 4:   3 Counting with Sets etc
  358.    wt: 4:   2 Venn Diagrams
  359.    wt: 4:   1 Finite Sets
  360.    wt: 4:   6 Three Notions of What is a Variable
  361.    wt: 4:   4 A Brief Story of numbers and algebra
  362.    wt: 4:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  363.    wt: 4:   12 GCD 2700 288 via Prime
  364.    wt: 4:   2 Counting with Tables and Trees I
  365.    wt: 4:   1 Counting and Counting Methods I
  366.    wt: 4:   4 signed coordinates for regions in space
  367.    wt: 4:   3 signed coordinates for maps and planes
  368.    wt: 4:   2 signed and unsigned numbers as coordinates
  369.    wt: 4:   22 Complex Compound Fractions
  370.    wt: 4:   21 Working With Signs
  371.    wt: 4:   21 Reciprocals for Fractions and Wholes
  372.    wt: 4:   20 Dividing Fractions the Why
  373.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  374.    wt: 4:   14 Adding and Subtracting with Like Denominators
  375.    wt: 4:   13 Subtraction with Additive Inverse
  376.    wt: 4:   10 Integer Multiplication Formulas
  377.    wt: 4:   9 Multiplying Integers
  378.    wt: 4:   1 Integers as Coordinates
  379.    wt: 4:   26 Divisibility by 2 3 5 Example
  380.    wt: 4:   21 Remainder Arithmetic Modulo 3
  381.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  382.    wt: 4:   12 Remainder Arithmetic Modulo 10 Example
  383.    wt: 4:   8 Remainder Arithmetic Morulo 5 Examples II
  384.    wt: 4:   5 Remainder Arithmetic Modulo 5
  385.    wt: 4:   3 Remainder Arithmetic Modulos 10 more still
  386.    wt: 4:   1 Remainder Arithmetic Modulo 10
  387.    wt: 4:   16 video Factors of 980 using prime
  388.    wt: 4:   14 video Factors of 24 Take II
  389.    wt: 4:   2 Prime and Composites less than 16
  390.    wt: 4:   Long Division Backwards more
  391.    wt: 4:   Long Division Backward
  392.    wt: 4:   Long Division forwards and backwards Example 1
  393.    wt: 4:   11 Another Single Digit Divisor Example
  394.    wt: 4:   8 Correcting the Mistake
  395.    wt: 4:   7 Long Divison Mistake Catching
  396.    wt: 4:   5 Long Division Include Zeroes or not
  397.    wt: 4:   4 Division with 2 Digit Divsors
  398.    wt: 4:   3 Division Single Digit Divisor Example
  399.    wt: 4:   B Powers of Ten
  400.    wt: 4:   A Elementary Basis for Multiplication Methods
  401.    wt: 4:   4 Two and Three Digit Multipliers
  402.    wt: 4:   9 Place Value Review Decimal form of Avogrados number included
  403.    wt: 4:   8 Addition of Time Intervals via subtotaling
  404.    wt: 4:   4 Mixing and Changing Units of Time
  405.    wt: 4:   1 Intro of Kids To Time Date Skills
  406.    wt: 4:   A Chain Rule Real Player video examples
  407.    wt: 4:   38 Formulas and derivatives for powers and roots
  408.    wt: 4:   31 Derivatives of inverse functions
  409.    wt: 4:   24 Chain Rule Animated Examples
  410.    wt: 4:   18 Chain Rule Introduction
  411.    wt: 4:   15 sine and cosine derivatives 3rd step
  412.    wt: 4:   13 sine and cosine derivatives 1st step
  413.    wt: 4:   8 Differentiation of polynomials
  414.    wt: 4:   4 Sum Rule
  415.    wt: 4:   10 Three one sided limits with infinite values
  416.    wt: 4:   2 Algebraic codification
  417.    wt: 4:   Chapter 23 Links To Trigonometry
  418.    wt: 4:   Chapter 12 Four Phases
  419.    wt: 4:   Chapter 6 Rule Based Reason in Mathematics
  420.    wt: 4:   Chapter 24 Direct and Indirect Reason
  421.    wt: 4:   Chapter 19 What is in chapters 20 to 24
  422.    wt: 4:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  423.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  424.    wt: 4:   V Reasons and Motivations for Logic and Mathematics
  425.    wt: 4:   G. Written work formats for developing and showing skill
  426.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  427.    wt: 4:   7 Games and Activities for Instruction
  428.    wt: 4:   3 Telling Tracking Time Temporal and More Place Sense
  429.    wt: 4:   Systematic Algebra Skill Development Missing Links
  430.    wt: 3:   H LAMP Introduction Instructional Concepts
  431.    wt: 3:   E LAMP Introduction Modern Mathematics
  432.    wt: 3:   Ramblings Extrinsic numbers theory
  433.    wt: 3:   Skills Chapter 3 Algebra
  434.    wt: 3:   Skills Chapter 0 Introduction
  435.    wt: 3:   11 pure mathematics
  436.    wt: 3:   9 combinatorics probability sets
  437.    wt: 3:   7 logic review and decimals an odd combination
  438.    wt: 3:   4 algebra
  439.    wt: 3:   three goals to set for students
  440.    wt: 3:   Applied Maths Program14092009 POMME variant
  441.    wt: 3:   links Education Resources online
  442.    wt: 3:   Mathematics Education Professors
  443.    wt: 3:   learning takes time
  444.    wt: 3:   grouping students according to ability
  445.    wt: 3:   mathematics in context
  446.    wt: 3:   Education Reform Inconsistencies
  447.    wt: 3:   Maps Plans Drawings
  448.    wt: 3:   Secondary Two Mathematics
  449.    wt: 3:   Secondary One Mathematics
  450.    wt: 3:   talk the algebra talk
  451.    wt: 3:   three difficulties
  452.    wt: 3:   teaching tips
  453.    wt: 3:   mathematics curriculum shifts
  454.    wt: 3:   04 25 when to stop or suspend mathemat
  455.    wt: 3:   Education in mathematics science and technology
  456.    wt: 3:   cultivating intelligence
  457.    wt: 3:   need for a mixed mathematics curriculum
  458.    wt: 3:   B Energy Power02
  459.    wt: 3:   2 Conductance Resistance Duality02
  460.    wt: 3:   24 Standards For Skill Develoment Take II
  461.    wt: 3:   24 Standards For Skill Develoment
  462.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  463.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  464.    wt: 3:   Ages 10 to 12 Geometry
  465.    wt: 3:   Ages 10 to 12 Arithmetic
  466.    wt: 3:   sign monoticity analysis example 2
  467.    wt: 3:   7 Functions with finite domains
  468.    wt: 3:   5 Function notation for geometric transformations
  469.    wt: 3:   4 Function notation in and beyond mathematics
  470.    wt: 3:   3 Formula or function graphing exercise
  471.    wt: 3:   1 Geometric Introduction of Function Notation
  472.    wt: 3:   Introduction Reading Guide
  473.    wt: 3:   8 quadratics backward use of various formulas
  474.    wt: 3:   3 quadratics factoring by inspection
  475.    wt: 3:   10 Exponential Growth and Decay Models
  476.    wt: 3:   5 Natural Logarithm Calculator Exercises
  477.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  478.    wt: 3:   1 Calculator Starter Exercises
  479.    wt: 3:   8 Notes for instructors or tutors
  480.    wt: 3:   Rewriting algebraic substitution as function substitutions
  481.    wt: 3:   9 motivation for name arcsin
  482.    wt: 3:   5 Swapping Coordinates is a reflection
  483.    wt: 3:   2 cosine function more properties
  484.    wt: 3:   12 From Applied To Pure Mathematics
  485.    wt: 3:   2 Signed Coordinates
  486.    wt: 3:   Proportionality of Line Segments From Parallel Transversals
  487.    wt: 3:   14 Straight Lines Equations General Case
  488.    wt: 3:   5 Tangent Function Graph
  489.    wt: 3:   4 Tangent Function Properties
  490.    wt: 3:   1 Straight Lines Slope Concept
  491.    wt: 3:   29 secant cosecant and cotangent for acute angles
  492.    wt: 3:   25 tangent double angle formula Slope connection
  493.    wt: 3:   24 tangent Angle Difference Formula
  494.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  495.    wt: 3:   18 sum of sinusoidal waves as a single wave
  496.    wt: 3:   17C sine and cosine double triple angle formulas
  497.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  498.    wt: 3:   12 Graph of tangent function for one period
  499.    wt: 3:   10 Graphs of sines and cosines many periods
  500.    wt: 3:   9 Graphs of sine and cosine over one period
  501.    wt: 3:   7 period of sine and cosine
  502.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  503.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  504.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  505.    wt: 3:   20 N th Roots of Complex Numbers
  506.    wt: 3:   11 sine and cosine double triple angle formulas
  507.    wt: 3:   10 sine cosine Angle Sum Formulas via cis
  508.    wt: 3:   6 Trigonometry Sines of Supplementary Angles
  509.    wt: 3:   3 Trigonometric Ratios sine and cosine
  510.    wt: 3:   4 Similarity Definition with Coordinate
  511.    wt: 3:   10 Midpoint of [a b] and [b a]
  512.    wt: 3:   8 Mid Point Formula
  513.    wt: 3:   5 Algebraic View of Slopes
  514.    wt: 3:   3 Slope product for perpendicular lines
  515.    wt: 3:   1 Numerical view of lines and their equations
  516.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  517.    wt: 3:   8 Distance Between Points on a Line
  518.    wt: 3:   Euclidean Geometry Elsewhere LINKS
  519.    wt: 3:   PS G Rotation Distributes over Addition
  520.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  521.    wt: 3:   PS A Kite Construction Methods
  522.    wt: 3:   17 Right Bisectors of Triangle Sides
  523.    wt: 3:   14 Parallel Lines Postulate
  524.    wt: 3:   9 Construction of a right bisector
  525.    wt: 3:   3 Isometry of Triangles Congruence
  526.    wt: 3:   1 Initial Concepts and Terms
  527.    wt: 3:   A Signed Number Arithmetic Review
  528.    wt: 3:   4 Rates Ratios and Proporitionality
  529.    wt: 3:   3 Proportionality Examples
  530.    wt: 3:   1 What is Proportionality
  531.    wt: 3:   3 Product Axioms Two Forms
  532.    wt: 3:   2 Addition and Multiplication Axioms
  533.    wt: 3:   3 More and Less Than with Unlike Signs
  534.    wt: 3:   1 Real Numbers Comparison
  535.    wt: 3:   16 Real Numbers Comparison
  536.    wt: 3:   15 Real Number Division
  537.    wt: 3:   14 Real Number Multiplication
  538.    wt: 3:   13 Real Number Subtraction
  539.    wt: 3:   11 Real Number Addition
  540.    wt: 3:   10 Real Number Lengths and Signs
  541.    wt: 3:   5 Independent versus Dependent Variables
  542.    wt: 3:   4 Changing Letters
  543.    wt: 3:   3 Geometric Formulas and Function Notation
  544.    wt: 3:   2 Computation Rules Evaluation
  545.    wt: 3:   1 Formulas Dependence and Function Notation
  546.    wt: 3:   7 Cautious or Safe Set Construction
  547.    wt: 3:   6 Power Set Notation
  548.    wt: 3:   5 Product Builder Notation
  549.    wt: 3:   4 Subset Builder Notation
  550.    wt: 3:   5 Talking about Numbers and Quantities
  551.    wt: 3:   3 Adding Words To Arithmetic
  552.    wt: 3:   2 What is a Variable
  553.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  554.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  555.    wt: 3:   2 Least Common Multiple LCM intro via list method
  556.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  557.    wt: 3:   4 Counting with Trees Product Rule Take I
  558.    wt: 3:   3 Counting with Tables and Trees II
  559.    wt: 3:   7 Converting or Changing Units
  560.    wt: 3:   19 Dividing Fractions How TO
  561.    wt: 3:   2 Unit Fraction Multiplication
  562.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  563.    wt: 3:   D Remainders Modulo 11 Pair Rule
  564.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  565.    wt: 3:   B Integer Long Division Multiple Choices
  566.    wt: 3:   8 Multiplication by Signed Numbers Integers
  567.    wt: 3:   5 Zero Movement and Additive Inverses
  568.    wt: 3:   4 Adding Movements wiht opposite directions
  569.    wt: 3:   3 Adding Movements with same direction
  570.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  571.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  572.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  573.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  574.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  575.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  576.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  577.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  578.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  579.    wt: 3:   17 Identify and Count Factors using Primes
  580.    wt: 3:   10 video Prime Factorization upto 23 squared
  581.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  582.    wt: 3:   4 video Prime Factorization Introduction
  583.    wt: 3:   Division with Counts and Length
  584.    wt: 3:   10 Division by Five Long and Short Ways
  585.    wt: 3:   9 Why Long Division Works Take II
  586.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  587.    wt: 3:   1 Divsion Physical Examples
  588.    wt: 3:   D Decimal Multiplication Methods Derived
  589.    wt: 3:   6 Multiplication Commutes Order Not Important
  590.    wt: 3:   5 Decimal Fraction Multiplication
  591.    wt: 3:   3 More One Digit Multipliers
  592.    wt: 3:   1 Why 3 times 5 gives 15
  593.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  594.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  595.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  596.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  597.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  598.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  599.    wt: 3:   1 Place Value in Three Digit Whole Numbers
  600.    wt: 3:   Quick history of numbers and algebra
  601.    wt: 3:   The 20 Times Table
  602.    wt: 3:   011 Division of Time Intervals By Numbers
  603.    wt: 3:   010 Repeated Addition of Time Intervals
  604.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  605.    wt: 3:   7 Addition of Time Intervals
  606.    wt: 3:   2 Time and Date Matters in School
  607.    wt: 3:   Example 2 volume of a cone
  608.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  609.    wt: 3:   4 Definite Integrals Evaluation Exercises
  610.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  611.    wt: 3:   34 Derivative of exponential function
  612.    wt: 3:   33 Chain Rule Real Player video examples
  613.    wt: 3:   12 Quotient rule examples
  614.    wt: 3:   11 Quotient rule
  615.    wt: 3:   9 Reciprocal rule
  616.    wt: 3:   7 Animated Differentiation Examples
  617.    wt: 3:   6 Power rule from product rule
  618.    wt: 3:   5 Product Rule
  619.    wt: 3:   6 Continuity at a point
  620.    wt: 3:   F.4 Finite Covering Theorem
  621.    wt: 3:   E2 Algebraic Properties of Limits
  622.    wt: 3:   B1 Pigeon Hole Principles from combinatorics
  623.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  624.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  625.    wt: 3:   Chapter 21 Arrow Addition
  626.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  627.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  628.    wt: 3:   Chapter 12. Units and Slopes
  629.    wt: 3:   Chapter 2. Slopes and Ski Trails
  630.    wt: 3:   Annotated Links to Material Elsehwere
  631.    wt: 3:   Postscript B Mathematics Education References
  632.    wt: 3:   Postscript A Three Remarks
  633.    wt: 3:   Chapter 11 Elementary Instruction
  634.    wt: 3:   Chapter 8 Modern Instruction
  635.    wt: 3:   Chapter 7 Two Treatments of Geometry
  636.    wt: 3:   Chapter 3 Algebra Difficulties
  637.    wt: 3:   Chapter 1 Introduction
  638.    wt: 3:   Foreword
  639.    wt: 3:   Postscript D Reflections on Law of the Excluded Middle
  640.    wt: 3:   Postscript C Consistency as a Tool for Reason
  641.    wt: 3:   Postscript B More on Story Telling and Reason
  642.    wt: 3:   Postscript A Story Telling
  643.    wt: 3:   Chapter 23 Truth Tables
  644.    wt: 3:   Chapter 21 Occurrence Tables
  645.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  646.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  647.    wt: 3:   Chapter 7 Longer Chains of Reason
  648.    wt: 3:   Chapter 6 Chains of Reason
  649.    wt: 3:   Chapter 2 Skill Development
  650.    wt: 3:   Three Remarks
  651.    wt: 3:   H more Routine to non routine problem solving
  652.    wt: 3:   C. Domino effect of being careful
  653.    wt: 3:   B. Domino effect of errors
  654.    wt: 3:   Appendix A Calculus with Proofs for Keen or Gifted
  655.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  656.    wt: 3:   Chapter 2 Why Sets
  657.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  658.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  659.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  660.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  661.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  662.    wt: 3:   Talking pdf files for online lessons a webvideo alternative
  663.    wt: 2:   Appendix 2 primary school Arithmetic 01
  664.    wt: 2:   K LAMP Musings Science Education
  665.    wt: 2:   I LAMP Introduction Study Habits
  666.    wt: 2:   F LAMP Introduction Prerequisites
  667.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  668.    wt: 2:   A Introduction Objectives
  669.    wt: 2:   Skills Chapter 5 Calculus
  670.    wt: 2:   Skills Chapter 4 Logic
  671.    wt: 2:   Skills Chapter 1 Arithmetic
  672.    wt: 2:   10 statistics
  673.    wt: 2:   8 analytic geometry etc
  674.    wt: 2:   6 polynomials etc
  675.    wt: 2:   5 logarithms and exponentials etc
  676.    wt: 2:   3 Euclidean Geometry Leanly
  677.    wt: 2:   1 arithmetic with unsigned numbers
  678.    wt: 2:   What is POMME
  679.    wt: 2:   why bother
  680.    wt: 2:   permissions for teachers
  681.    wt: 2:   activities for students
  682.    wt: 2:   site origins
  683.    wt: 2:   About site lesson plans
  684.    wt: 2:   Postscript 2007 01 10
  685.    wt: 2:   how letters appear
  686.    wt: 2:   What to Tell Students
  687.    wt: 2:   05 13 OldSiteEntrancePage
  688.    wt: 2:   standards for course material
  689.    wt: 2:   Operational Viewpoint to Value
  690.    wt: 2:   Theory of Knowledge
  691.    wt: 2:   Four ways to improve education reform
  692.    wt: 2:   How to be a better instructor
  693.    wt: 2:   Leaner mathematics curriculum
  694.    wt: 2:   education an empirical art
  695.    wt: 2:   chapitre 07 01 principle D induction mathematique
  696.    wt: 2:   2 Energy Power Heat07
  697.    wt: 2:   3 Like resistors in parallel
  698.    wt: 2:   2 Unlike resistors in parallel01
  699.    wt: 2:   C Electromotive force conventional current02
  700.    wt: 2:   Home Tutoring and Home Schooling
  701.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  702.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  703.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  704.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  705.    wt: 2:   15 Counting For Parents
  706.    wt: 2:   10 Ends values for work study instruction
  707.    wt: 2:   4 Learning Takes Time and Effort
  708.    wt: 2:   3 Preparing for Science Studies
  709.    wt: 2:   1 Speaking Skills
  710.    wt: 2:   Ages 9 to 10
  711.    wt: 2:   Ages 8 to 9
  712.    wt: 2:   Ages 7 to 8
  713.    wt: 2:   Ages 6 to 7
  714.    wt: 2:   Ages 4 plus to 5 plus
  715.    wt: 2:   Ages 3 plus to 4 plus
  716.    wt: 2:   19 Horizontal line rule and method
  717.    wt: 2:   18 Vertical Line Rule and Method
  718.    wt: 2:   17 Function maxima minima and their location
  719.    wt: 2:   15 Sign analysis of functions
  720.    wt: 2:   14 Surjections Injections Bijections
  721.    wt: 2:   11 Function Domain Range Source and Targets
  722.    wt: 2:   10 Interval Notation
  723.    wt: 2:   9 Set theory term relation possible origins
  724.    wt: 2:   8 Set view of relations and functions
  725.    wt: 2:   6 Set Existence Formation and Notation
  726.    wt: 2:   7 quadratic formulla derivation
  727.    wt: 2:   5 quadratics completing the square
  728.    wt: 2:   4 quadratics difference of two squares
  729.    wt: 2:   1 quadratics graphing exercises
  730.    wt: 2:   Quadratics in 10 steps
  731.    wt: 2:   7 Links Lessons Elsewhere
  732.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  733.    wt: 2:   4 Polynomials Long division linear divisor
  734.    wt: 2:   2 Column Multiplication Method
  735.    wt: 2:   6 Graph of arccos function
  736.    wt: 2:   4 possible motivation for term arccos
  737.    wt: 2:   1 cosine function properties
  738.    wt: 2:   2 Radian Measure Numerical Value of one degree
  739.    wt: 2:   4 Resultant of a Sum of Movements
  740.    wt: 2:   Parallel Lines and Parallel Transversals
  741.    wt: 2:   32 seven rows of pascals triangle
  742.    wt: 2:   30 unit circle calculation of six trigonometric functions
  743.    wt: 2:   17F Law of cosines
  744.    wt: 2:   17E Trig Formulas for dot and cross Products
  745.    wt: 2:   15 sine cosine Complementary Angle Relations
  746.    wt: 2:   14 cosine even and sine and tangent are odd
  747.    wt: 2:   11 tangent function undefined when terminal side vertical
  748.    wt: 2:   21 Logarithms Powers and Exponentials
  749.    wt: 2:   14 Law of cosines
  750.    wt: 2:   13 Trig Formulas for dot and cross Products
  751.    wt: 2:   5 An Easy Proof of the Distributive Law
  752.    wt: 2:   2 Complex Numbers made easier we hope
  753.    wt: 2:   8 Triangles Cascade Problem Solving
  754.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  755.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  756.    wt: 2:   12 Triangles Similarity More Problems
  757.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  758.    wt: 2:   2 Similarity By Design
  759.    wt: 2:   13 Pythagorean spatial distance formulas
  760.    wt: 2:   11 Triangle Inequality
  761.    wt: 2:   10 Pythagorean plane distance formula
  762.    wt: 2:   4 Polar Coordinates to and from
  763.    wt: 2:   3 Rectangular Coordinates Review
  764.    wt: 2:   1 Cartesian Coordinates sans signs
  765.    wt: 2:   19 Right Triangle Similarity
  766.    wt: 2:   18 Triangle Similarity Take 1
  767.    wt: 2:   16 Angles Subtended By Chords and Diameters
  768.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  769.    wt: 2:   13 Angle Side Angle Failure
  770.    wt: 2:   11 Triangle Construction Fails
  771.    wt: 2:   8 Isoceles Triangles
  772.    wt: 2:   7 Angle Side Angle
  773.    wt: 2:   6 Ruler and compass Angle Bisection
  774.    wt: 2:   5 Side Angle Side
  775.    wt: 2:   4 Side Side Side
  776.    wt: 2:   Short Course on Euclidean Geometry
  777.    wt: 2:   2 Measuring Area Directly
  778.    wt: 2:   6 Equations and Systems Equivalent or Implied
  779.    wt: 2:   4 Subtraction and Division Axioms
  780.    wt: 2:   1 Equivalent Computation Rules
  781.    wt: 2:   6 Unsigned Real Numbers
  782.    wt: 2:   5 Rational Numbers More
  783.    wt: 2:   4 Rational Numbers
  784.    wt: 2:   3 Fractions
  785.    wt: 2:   1 Whole and Natural Numbers
  786.    wt: 2:   About Folder Contents
  787.    wt: 2:   arithmetic videos Real Player Format
  788.    wt: 2:   3 Properties of Square Roots with example
  789.    wt: 2:   2 Square Roots with Prime
  790.    wt: 2:   1 Squares and Square Roots Introduction
  791.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  792.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  793.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  794.    wt: 2:   8 GCD from Euclidean Algorithm
  795.    wt: 2:   4 LCM of 8 and 10 via Prime
  796.    wt: 2:   1 Least Common Multiples LCM Introduction
  797.    wt: 2:   10 dividing signed numbers
  798.    wt: 2:   9 subtracting signed numbers
  799.    wt: 2:   8 multiplying signed numbers
  800.    wt: 2:   7 negative and additive inverse
  801.    wt: 2:   6 adding signed numbers
  802.    wt: 2:   5 lengths and signs of numbers
  803.    wt: 2:   6 Simplification of Fractions with Units
  804.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  805.    wt: 2:   3 Multiplying Units and Numbers
  806.    wt: 2:   2 Equality and Units
  807.    wt: 2:   D Three Term Ratios
  808.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  809.    wt: 2:   13 Fraction Comparison Algebraic View
  810.    wt: 2:   12 Fraction Comparison
  811.    wt: 2:   11 Simplification an Algebraic View
  812.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  813.    wt: 2:   6 Multiplication of Mixed Numbers
  814.    wt: 2:   6 Multiplication Algebraically Take II
  815.    wt: 2:   3 Unit fraction of a fraction
  816.    wt: 2:   A Associative Law Theorectical Note
  817.    wt: 2:   7 Multiplication by Signs
  818.    wt: 2:   6 Multiplication by Natural Numbers
  819.    wt: 2:   19 video Prime Factorization Unique
  820.    wt: 2:   18 video Count Factors given Prime Factorization
  821.    wt: 2:   11 Efficient Square Rule Use
  822.    wt: 2:   9 video Prime Factorization upto 19 squared
  823.    wt: 2:   8 video Prime Factorization upto 19
  824.    wt: 2:   7 Calculator Usage Notes and Cautions
  825.    wt: 2:   5 Prime Factorization and a Square Rule
  826.    wt: 2:   3 video Primes and Composites from 9 times table
  827.    wt: 2:   1 video how Products are bigger than factor
  828.    wt: 2:   11 Place Value SI Standard International way
  829.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  830.    wt: 2:   Formula Evaluation how to show work
  831.    wt: 2:   The 12 Times Table Visually
  832.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  833.    wt: 2:   016 Numbering Occidental Calendar Days
  834.    wt: 2:   015 School and work day counting tables
  835.    wt: 2:   014 Counting Days with Calendars
  836.    wt: 2:   3 Units and Lengths of Time
  837.    wt: 2:   Example 1 volume of a pyramid
  838.    wt: 2:   Volume of Solid by Cross Sections Lesson
  839.    wt: 2:   Example 1. Area Between x and x squared
  840.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  841.    wt: 2:   Example 4 with x function of y
  842.    wt: 2:   Example 3
  843.    wt: 2:   Example 2
  844.    wt: 2:   Area Between Curves Lesson Take 2
  845.    wt: 2:   A Related Material in Volume 3
  846.    wt: 2:   3 Two Chain Rule Method Exercises
  847.    wt: 2:   A Related lessons in Volume 3
  848.    wt: 2:   2 Second derivative test prequel
  849.    wt: 2:   36 Cube root derivative animated
  850.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  851.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  852.    wt: 2:   9 Limits Continuity and Composition
  853.    wt: 2:   5 Jumps and absence of unlimited error control
  854.    wt: 2:   1 Numerical introduction
  855.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  856.    wt: 2:   G.6 Bounded Derivatives implies Lipshitz Continuity
  857.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  858.    wt: 2:   D2 Limits of Monotone Sequences
  859.    wt: 2:   PostScript For and Against Decimal Perspectives
  860.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  861.    wt: 2:   Chapter 18. Slopes Areas Integration
  862.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  863.    wt: 2:   Chapter 11. Graphing Slope versus Position
  864.    wt: 2:   Chapter 9 About First Courses in Calculus
  865.    wt: 2:   Chapter 8. Slope Interpretation
  866.    wt: 2:   Chapter 1.Introduction
  867.    wt: 2:   Fall 1983 Calculus Appetizer
  868.    wt: 2:   Foreword
  869.    wt: 2:   Chapter 10 Transition
  870.    wt: 2:   Chapter 9 The Two Ends
  871.    wt: 2:   Chapter 5 Four References
  872.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  873.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  874.    wt: 2:   Chapter 8 Change of Language
  875.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  876.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  877.    wt: 2:   Chapter 1 Introduction
  878.    wt: 2:   Foreword
  879.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  880.    wt: 2:   S Adding words to algebra
  881.    wt: 2:   R Why Learn Mathematics Skills
  882.    wt: 2:   O On Learning Mathematics and Science
  883.    wt: 2:   N Mathematics Prepare for College Studies
  884.    wt: 2:   L Skills with take home value
  885.    wt: 2:   N Improving Marks on Tests and Finals
  886.    wt: 2:   Chapter 6 More Algebra and Geometry
  887.    wt: 2:   Chapter 3 Algebra Starter Lessons
  888.    wt: 2:   Mathematics Education References
  889.    wt: 2:   Mathematics Education References
  890.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  891.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  892.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  893.    wt: 2:   More Algebra and Slope based Calculus Preview
  894.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  895.    wt: 1:   Appendix 1 primary and preschool mathematic
  896.    wt: 1:   which way to go
  897.    wt: 1:   website reviews
  898.    wt: 1:   Teach the teachers plus goals
  899.    wt: 1:   Math Ed if it must be short make it lean effective
  900.    wt: 1:   site eurekas
  901.    wt: 1:   key notes and themes
  902.    wt: 1:   teacher certification
  903.    wt: 1:   modern education
  904.    wt: 1:   what should be learnt and When
  905.    wt: 1:   five decades make a difference
  906.    wt: 1:   Motivation and Context Problem
  907.    wt: 1:   chapitre 12 00 les iles et division
  908.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  909.    wt: 1:   chapitre 06 00 Chaines de la raison
  910.    wt: 1:   chapitre 04 02 Deuxieme enigme
  911.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  912.    wt: 1:   chapitre 02 00 La Communication des idees
  913.    wt: 1:   chapitre 01 00 Introduction
  914.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  915.    wt: 1:   deux definitions pour variable
  916.    wt: 1:   4 Energy Power Heat09
  917.    wt: 1:   3 Energy Power Heat08
  918.    wt: 1:   1 Energy Power Heat06
  919.    wt: 1:   E Energy Power05
  920.    wt: 1:   D Energy Power04
  921.    wt: 1:   C Energy Power03
  922.    wt: 1:   A Energy Power01
  923.    wt: 1:   D Wire Resistance Calculation02
  924.    wt: 1:   B Wire Resistance Qualitative02
  925.    wt: 1:   1 Like resistors in series
  926.    wt: 1:   H Series Circuit02
  927.    wt: 1:   F Unlike Resistors in Series
  928.    wt: 1:   E Kirchoffs Second Law
  929.    wt: 1:   D Kirchoff First Law
  930.    wt: 1:   B Electromotive force conventional current01
  931.    wt: 1:   18 Primary School Mathematics
  932.    wt: 1:   17 Math Booklets for children and young teenagers
  933.    wt: 1:   16 Secondary Mathematics Tips
  934.    wt: 1:   9 Streaming by Student Cooperation
  935.    wt: 1:   8 The Effect of Negative Remarks
  936.    wt: 1:   5 Patience Please for Yourself and Your Charges
  937.    wt: 1:   sign monoticity analysis example 4
  938.    wt: 1:   sign monoticity analysis example 3
  939.    wt: 1:   sign monoticity analysis example 1
  940.    wt: 1:   13 From one to one to many to one
  941.    wt: 1:   A Quadratics Summary
  942.    wt: 1:   10 quadratic exercises
  943.    wt: 1:   9 quadratics physical and further context
  944.    wt: 1:   6 quadratics numerical approach
  945.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  946.    wt: 1:   3 Polynomials Multiplication Addition
  947.    wt: 1:   1 Polynomials Distributive Law
  948.    wt: 1:   9 Summary Degrees to Radians and back
  949.    wt: 1:   8 Radian Measures of Common Angles
  950.    wt: 1:   7 Radian Measures in special Triangles
  951.    wt: 1:   1 Degrees and Radians Introduction
  952.    wt: 1:   13 Velocity Vectors in Physics
  953.    wt: 1:   9 Head to Tail Coordinate View
  954.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  955.    wt: 1:   6 Vectors with Coordinates
  956.    wt: 1:   1 Unsigned Coordinates
  957.    wt: 1:   Triangle Angles Sum To 180 Degrees
  958.    wt: 1:   17 tangent function angle sum formulas
  959.    wt: 1:   13 Graph of tangent function many periods
  960.    wt: 1:   8 period of tangent function
  961.    wt: 1:   2 Quadrant I reference Angles
  962.    wt: 1:   1 Unit Points Reflections Rotations
  963.    wt: 1:   Unit Circle Development of Trigonometry
  964.    wt: 1:   19 N th Roots of Unity
  965.    wt: 1:   18 Sixth Roots of Unity
  966.    wt: 1:   17 Cube Roots of unity
  967.    wt: 1:   16 References and Originality Question
  968.    wt: 1:   8 Unit Circle Development of Trigonometry
  969.    wt: 1:   6 Field Properties of Complex Number
  970.    wt: 1:   1 Rectangular Polar Coordinates Review
  971.    wt: 1:   7 Trignometric Ratios Unit Circle
  972.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  973.    wt: 1:   11 Triangle Similarity Missing Side Problem
  974.    wt: 1:   9 Similarity of Triangles Usual Criteria
  975.    wt: 1:   8 Similarity of Triangles and Polygons
  976.    wt: 1:   6 Geometric Diagrams in Class
  977.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  978.    wt: 1:   3 Similarity by Design with coordinates
  979.    wt: 1:   1 Early Concept of Like or Similar Shapes
  980.    wt: 1:   Four Simple Exercises
  981.    wt: 1:   11 A Partial Summary
  982.    wt: 1:   7 Exercises to test skill and concept mastery
  983.    wt: 1:   What is and is not here
  984.    wt: 1:   7 Complex Numbers Appetizer
  985.    wt: 1:   6 Polar Multiplication and Rotation
  986.    wt: 1:   5 Cartesian Addition and Translation
  987.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  988.    wt: 1:   6 Figuring with Maps Not to Scale
  989.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  990.    wt: 1:   5 Square Roots with primes more still
  991.    wt: 1:   4 Square Roots with primes more
  992.    wt: 1:   13 GCD from given Prime Factorization
  993.    wt: 1:   7 GCD and LCM from prime factorization
  994.    wt: 1:   6 GCD from Prime
  995.    wt: 1:   5 Common Divisors 60 45 via Prime
  996.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  997.    wt: 1:   11 What are real lengths and numbers
  998.    wt: 1:   4 Fractions with Units
  999.    wt: 1:   1 Addition and Subtraction with Units
  1000.    wt: 1:   B Fractions and Two Term Ratios
  1001.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  1002.    wt: 1:   18 Efficient Ways to Multiply
  1003.    wt: 1:   17 Efficient Ways to Add and Subtract
  1004.    wt: 1:   16 Addition Subtraction Comparision Compared
  1005.    wt: 1:   9 Improper Fractions and Mixed Numbers
  1006.    wt: 1:   8 Numerals Fractionals Quantals Take II
  1007.    wt: 1:   7 Numerals Fractionals Quantals
  1008.    wt: 1:   5 Equivalent Fractions
  1009.    wt: 1:   4 Fraction Multiplication
  1010.    wt: 1:   1 What is a fraction Take II
  1011.    wt: 1:   1 What is a fraction
  1012.    wt: 1:   Exact Arithmetic Wholes and Fractions
  1013.    wt: 1:   Expression Evaluation how to show work
  1014.    wt: 1:   About folder contents
  1015.    wt: 1:   013 Travel Time Tables
  1016.    wt: 1:   6 How long is a million seconds
  1017.    wt: 1:   5 Conversion Arithmetic
  1018.    wt: 1:   Example 1
  1019.    wt: 1:   Area Between Curves Lesson Take 1
  1020.    wt: 1:   Summary
  1021.    wt: 1:   5 Area Under Curve Exercise
  1022.    wt: 1:   4 Second derivative test exercise example
  1023.    wt: 1:   3 Second derivative test
  1024.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  1025.    wt: 1:   8 Four Animated Examples
  1026.    wt: 1:   7 Evaluation by immediate or delayed substitution
  1027.    wt: 1:   4 Numerical properties
  1028.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  1029.    wt: 1:   G.3 Constant Difference Theorem Proof
  1030.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  1031.    wt: 1:   F.5a Equicontinuity Theorems
  1032.    wt: 1:   F.3 Intermediate Value Theorem
  1033.    wt: 1:   F.2 Closed Range Theorem
  1034.    wt: 1:   F.1 What Functions are Continuous
  1035.    wt: 1:   E1 Error Control Inequalities
  1036.    wt: 1:   C Triangle Inequalities
  1037.    wt: 1:   A1. Introduction
  1038.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  1039.    wt: 1:   Chapter 17. Area Approximation
  1040.    wt: 1:   Chapter 16. Velocity Approximation
  1041.    wt: 1:   Chapter 15. Slope Approximation
  1042.    wt: 1:   Chapter 13. Acceleration
  1043.    wt: 1:   Chapter 10 Slopes and Units
  1044.    wt: 1:   Chapter 7 Slopes and Velocity
  1045.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  1046.    wt: 1:   Chapter 5. Slope Sign Tests
  1047.    wt: 1:   Chapter 4. More Slope Sign Analysis
  1048.    wt: 1:   Chapter 3. Slope Sign Analysis
  1049.    wt: 1:   Chapter 18 Sense and Knowledge
  1050.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  1051.    wt: 1:   Chapter 15 Objective Processes
  1052.    wt: 1:   Chapter 11 Accidental Patterns
  1053.    wt: 1:   Chapter 10 Responsibility
  1054.    wt: 1:   Chapter 5 Deception
  1055.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  1056.    wt: 1:   J. More on written work and showing skill
  1057.    wt: 1:   I. Logic and language skills
  1058.    wt: 1:   H Jigsaw puzzles and problem solving
  1059.    wt: 1:   How to Build Skills and Confidence
  1060.    wt: 1:   Chapter 8 Skipped Topics and Why
  1061.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  1062.    wt: 1:   Chapter 1 Arithmetic
  1063.    wt: 1:   Implementation Notes
  1064.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  1065.    wt: 1:   Which Way To Go
  1066.    wt: 1:   The Math Forum and Site Content
  1067.    wt: 11:   2 Combing Counts Addition Skills and Principles
  1068.    wt: 11:   2 Three Examples
  1069.    wt: 10:   5 Algebraic Solutions Introduction
  1070.    wt: 10:   Chapter 27 Shorthand Symbols as Pronouns
  1071.    wt: 10:   Chapter 26 What is in chapters 27 to 31
  1072.    wt: 10:   Chapter 22. Geometric Sums and Sequences
  1073.    wt: 10:   Chapter 8 Three Skills For Algebra

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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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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