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:   Step 3 Easy systems in 2 or more unknowns/
  3.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  4.    wt: 6:   Volume 2 Three Skills For Algebra/
  5.    wt: 5:   A Origins of Counting and Figuring Methods/
  6.    wt: 5:   8 Unifying Theme For Algebra/
  7.    wt: 5:   Step 4 Gaussian Elimination/
  8.    wt: 5:   2 Formula Forward Use Evaluation/
  9.    wt: 5:   A Decimal Counting and Adding Methods/
  10.    wt: 4:   12 Function Translating and Rescaling/
  11.    wt: 4:   10 Examples of Algebraic Reasoning/
  12.    wt: 4:   Step 1 Stick diagram and fractions/
  13.    wt: 4:   3 Solving Linear Equations/
  14.    wt: 3:   2 Natural Logarithms Exponentials Powers Roots/
  15.    wt: 3:   10 Intersecting Straight Lines and Transversals/
  16.    wt: 3:   B Real Numbers Extrinsic Development/
  17.    wt: 3:   9 Proportionality Backwards and Forwards/
  18.    wt: 3:   6 More Less Greater Than Inequalities and Comparison/
  19.    wt: 3:   1 Working With Sets/
  20.    wt: 3:   12 Comparison of Unsigned and Signed Numbers/
  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:   PreSchool and Primary Mathematics or Quantitative Skills/
  39.    wt: 1:   LAMP Lean Applied Mathematics Program/
  40.    wt: 1:   Mathematics Education Essays/
  41.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  42.    wt: 1:   4 Functions/
  43.    wt: 1:   3 Quadratics Geometrically/
  44.    wt: 1:   1 Five Polynomial Operations/
  45.    wt: 1:   More Algebra/
  46.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  47.    wt: 1:   11 Parallel Straight Lines and Transversals/
  48.    wt: 1:   4 Lines and Slopes Take 1/
  49.    wt: 1:   3 Cartesian and Polar Coordinates/
  50.    wt: 1:   11 Squares and Square Roots/
  51.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  52.    wt: 1:   8 Arithmetic with Signed Numbers/
  53.    wt: 1:   7 Arithmetic and Fractions with Units/
  54.    wt: 1:   6 Fractions and Ratios/
  55.    wt: 1:   1 Decimal Place Value/
  56.    wt: 1:   Arithmetic and Number Theory Skills/
  57.    wt: 1:   Time Date Matters/
  58.    wt: 1:   Skills with take home value/
  59.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  60.    wt: 1:   5 Lessons on Integration/
  61.    wt: 1:   4 Lessons on Using Derivatives/
  62.    wt: 1:   13 Lessons on Limits and Continuity/
  63.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  64.    wt: 1:   Volume 1A Pattern Based Reason/
  65.    wt: 1:   Volume 1 Elements of 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

754 matches:

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

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