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 Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

56 matches:

  1.    wt: 9:   1 Maps Plans Measurement/
  2.    wt: 8:   12 Function Translating and Rescaling/
  3.    wt: 8:   11 Parallel Straight Lines and Transversals/
  4.    wt: 7:   15 Arc or Inverse Trigonometric Function/
  5.    wt: 7:   13 Vectors/
  6.    wt: 6:   14 Degrees to Radians and Radians to Degrees/
  7.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  8.    wt: 6:   8 Unit Circle Trigonometry/
  9.    wt: 6:   6 Trigonometry first steps/
  10.    wt: 6:   4 Lines and Slopes Take 1/
  11.    wt: 6:   3 Cartesian and Polar Coordinates/
  12.    wt: 5:   7 Complex Numbers/
  13.    wt: 5:   5 What is Similarity/
  14.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  15.    wt: 5:   Geometry maps plans trigonometry vectors/
  16.    wt: 4:   10 LCM GCD and Euclid GCD Algorithm/
  17.    wt: 4:   A Decimal Counting and Adding Methods/
  18.    wt: 4:   13 Lessons on Limits and Continuity/
  19.    wt: 3:   A Origins of Counting and Figuring Methods/
  20.    wt: 3:   10 Examples of Algebraic Reasoning/
  21.    wt: 3:   Step 4 Gaussian Elimination/
  22.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  23.    wt: 3:   Step 1 Stick diagram and fractions/
  24.    wt: 3:   11 Squares and Square Roots/
  25.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  26.    wt: 3:   1 Decimal Place Value/
  27.    wt: 2:   1 Five Polynomial Operations/
  28.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  29.    wt: 2:   3 Solving Linear Equations/
  30.    wt: 2:   1 Working With Sets/
  31.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  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:   12 Webvideo Lessons on Area and Volume Calculation/
  36.    wt: 2:   5 Lessons on Integration/
  37.    wt: 2:   4 Lessons on Using Derivatives/
  38.    wt: 2:   38 Lessons on Calculating Derivatives/
  39.    wt: 1:   Mathematics Education Essays/
  40.    wt: 1:   Volume 1A Regles et modeles/
  41.    wt: 1:   3 Quadratics Geometrically/
  42.    wt: 1:   B Real Numbers Extrinsic Development/
  43.    wt: 1:   8 Unifying Theme For Algebra/
  44.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  45.    wt: 1:   8 Arithmetic with Signed Numbers/
  46.    wt: 1:   7 Arithmetic and Fractions with Units/
  47.    wt: 1:   6 Fractions and Ratios/
  48.    wt: 1:   3 Prime Factorization Skills/
  49.    wt: 1:   D Decimal Long Division Methods/
  50.    wt: 1:   C Decimal Multiplication Methods/
  51.    wt: 1:   2 Arithmetic with Decimals/
  52.    wt: 1:   Arithmetic and Number Theory Skills/
  53.    wt: 1:   70 Calculus Starter Lessons/
  54.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  55.    wt: 1:   Resources and Reciprocal Links/
  56.    wt: 10:   10 Intersecting Straight Lines and Transversals/

Web Page Search

542 matches:

  1.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  2.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  3.    wt: 4:   16 Increasing or decreasing on intervals
  4.    wt: 4:   2 quadratics graphing in general
  5.    wt: 4:   7 arcsin left inverse of sine Definition
  6.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  7.    wt: 4:   6 Intersection of lines by solving linear systems
  8.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  9.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  10.    wt: 3:   J LAMP Introduction Extrinsic Origins
  11.    wt: 3:   Maps Plans Drawings
  12.    wt: 3:   mathematics instruction in general
  13.    wt: 3:   Different Kinds of Reasoning in maths
  14.    wt: 3:   fairness and inductive principles for instruction
  15.    wt: 3:   chapitre 07 01 principle D induction mathematique
  16.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  17.    wt: 3:   20 Interchanging coordinates a reflection
  18.    wt: 3:   3 quadratics factoring by inspection
  19.    wt: 3:   Quadratics in 10 steps
  20.    wt: 3:   10 arctan left inverse of tangent Definition
  21.    wt: 3:   8 arcsin left inverse of sine Graph
  22.    wt: 3:   3 Left Inverse of cosine arccos definition
  23.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  24.    wt: 3:   Straight Lines Instersection Solving Equations
  25.    wt: 3:   10 Straight Lines through Origin Equations More
  26.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  27.    wt: 3:   28 Expressing products of sines cosines as sums
  28.    wt: 3:   10 Graphs of sines and cosines many periods
  29.    wt: 3:   10 sine cosine Angle Sum Formulas via cis
  30.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  31.    wt: 3:   10 Dropping a perpendicular to line
  32.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  33.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  34.    wt: 3:   14 Adding and Subtracting with Like Denominators
  35.    wt: 3:   7 Adding decimal fractions using decimal point
  36.    wt: 3:   012 Division of Time Intervals by Time Intervals
  37.    wt: 3:   2 Indefinite Integrals Exercises
  38.    wt: 3:   1 Chain Rule in Reverse Integration Method
  39.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  40.    wt: 3:   26 Chain Rule Recognising outer inner functions
  41.    wt: 3:   23 Chain Rule in general
  42.    wt: 3:   10 Three one sided limits with infinite values
  43.    wt: 3:   Chapter 10 Describing and Changing Calculations
  44.    wt: 3:   H more Routine to non routine problem solving
  45.    wt: 3:   Helping the Blind in Logic and Mathematics
  46.    wt: 2:   H LAMP Introduction Instructional Concepts
  47.    wt: 2:   G LAMP Introduction Problem Solving Skills
  48.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  49.    wt: 2:   Ramblings Extrinsic numbers theory
  50.    wt: 2:   Ramblings Introduction Algebra Essay
  51.    wt: 2:   links Education Resources online
  52.    wt: 2:   grouping students according to ability
  53.    wt: 2:   Postscript 2007 01 10
  54.    wt: 2:   teaching tutoring algebraic reason
  55.    wt: 2:   three kinds of reason in mathematics
  56.    wt: 2:   cultivating intelligence
  57.    wt: 2:   Prequel In For A Penny In For A Pound
  58.    wt: 2:   chapitre 01 00 Introduction
  59.    wt: 2:   2 Unlike resistors in parallel01
  60.    wt: 2:   Home Tutoring and Home Schooling
  61.    wt: 2:   10 Ends values for work study instruction
  62.    wt: 2:   2 Reading and Writing Skills
  63.    wt: 2:   26 Function definitions done and coming
  64.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  65.    wt: 2:   10 Interval Notation
  66.    wt: 2:   7 Functions with finite domains
  67.    wt: 2:   Introduction Reading Guide
  68.    wt: 2:   5 quadratics completing the square
  69.    wt: 2:   1 quadratics graphing exercises
  70.    wt: 2:   16 cotangent function Definition Graph and Inverse
  71.    wt: 2:   15 cosecant function Definition Graph and Inverse
  72.    wt: 2:   14 secant function Definition Graph and Inverse
  73.    wt: 2:   13 cosecant function Definition Graph and Inverse
  74.    wt: 2:   5 Swapping Coordinates is a reflection
  75.    wt: 2:   13 Velocity Vectors in Physics
  76.    wt: 2:   6 Vectors with Coordinates
  77.    wt: 2:   4 graphing y=Asin(x c)
  78.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  79.    wt: 2:   Parallel Lines and Interior Angles
  80.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  81.    wt: 2:   Straight Lines ASA Intersection Study More
  82.    wt: 2:   Straight Lines ASA Intersection Study
  83.    wt: 2:   Straight Lines Intersection of
  84.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  85.    wt: 2:   C Straight Lines Slope from Coordinates
  86.    wt: 2:   B Straight Line Slope Scaling Properties More
  87.    wt: 2:   A Straight Line Slope Scaling Properties
  88.    wt: 2:   14 Straight Lines Equations General Case
  89.    wt: 2:   12 Straight Lines Graphing mx plus b
  90.    wt: 2:   11 Straight Lines Graphing y=mx
  91.    wt: 2:   9 Straight Lines through Origin Equations
  92.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  93.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  94.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  95.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  96.    wt: 2:   27 Logarithmic use of products of sines and cosines
  97.    wt: 2:   26 Formulas for products of sines and cosines
  98.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  99.    wt: 2:   21 sine and cosine Half Angle Formulas
  100.    wt: 2:   20 sine and cosine Double Angle Formulas
  101.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  102.    wt: 2:   18 sum of sinusoidal waves as a single wave
  103.    wt: 2:   17D cis formulas for sine cosines and tangent
  104.    wt: 2:   17C sine and cosine double triple angle formulas
  105.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  106.    wt: 2:   15 sine cosine Complementary Angle Relations
  107.    wt: 2:   14 cosine even and sine and tangent are odd
  108.    wt: 2:   11 tangent function undefined when terminal side vertical
  109.    wt: 2:   9 Graphs of sine and cosine over one period
  110.    wt: 2:   7 period of sine and cosine
  111.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  112.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  113.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  114.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  115.    wt: 2:   12 cis formulas for sine cosines and tangent
  116.    wt: 2:   11 sine and cosine double triple angle formulas
  117.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  118.    wt: 2:   3 Trigonometric Ratios sine and cosine
  119.    wt: 2:   4 Similarity Definition with Coordinate
  120.    wt: 2:   10 Midpoint of [a b] and [b a]
  121.    wt: 2:   2 point slope equation for a line
  122.    wt: 2:   8 Distance Between Points on a Line
  123.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  124.    wt: 2:   6 Figuring with Maps Not to Scale
  125.    wt: 2:   4 Angles on Maps Plans drawn to scale
  126.    wt: 2:   3 Lengths and Areas on Maps and Plans
  127.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  128.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  129.    wt: 2:   13 Arrows and Vectors in a Plane
  130.    wt: 2:   12 Real Numbers Line Signed Coordinates
  131.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  132.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  133.    wt: 2:   4 Location of Point in Decimal Addition
  134.    wt: 2:   3 Location of Point in Decimal Multiplication
  135.    wt: 2:   2 Counting Digits in Decimal Multiplication
  136.    wt: 2:   8 Column Multiplication Methods in General
  137.    wt: 2:   3 Multiplicative Counting Skills Principles
  138.    wt: 2:   2 Combing Counts Addition Skills and Principles
  139.    wt: 2:   1 The Counting Origins of Numbers
  140.    wt: 2:   5 Greater More Less Than Signs in General
  141.    wt: 2:   9 Coordinates for Regions in Space
  142.    wt: 2:   8 Coordinates for Maps and Planes
  143.    wt: 2:   7 Real Numbers as Line Cordinates
  144.    wt: 2:   13 Naming Identifying Formulas with Words
  145.    wt: 2:   7 Compound Interest Formula Introduction
  146.    wt: 2:   1 Written work formats for developing and showing skill
  147.    wt: 2:   4 Greater More Less Than Signs in General
  148.    wt: 2:   1 Counting and Counting Methods I
  149.    wt: 2:   10 dividing signed numbers
  150.    wt: 2:   4 signed coordinates for regions in space
  151.    wt: 2:   3 signed coordinates for maps and planes
  152.    wt: 2:   7 Converting or Changing Units
  153.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  154.    wt: 2:   12 Adding Integers More Examples
  155.    wt: 2:   11 Adding Integers Formulas and Examples
  156.    wt: 2:   10 Integer Multiplication Formulas
  157.    wt: 2:   9 Multiplying Integers
  158.    wt: 2:   1 Integers as Coordinates
  159.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  160.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  161.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  162.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  163.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  164.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  165.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  166.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  167.    wt: 2:   1 Remainder Arithmetic Modulo 10
  168.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  169.    wt: 2:   6. Counting and adding units and mixed units
  170.    wt: 2:   1. Explaining Addition Table
  171.    wt: 2:   016 Numbering Occidental Calendar Days
  172.    wt: 2:   015 School and work day counting tables
  173.    wt: 2:   014 Counting Days with Calendars
  174.    wt: 2:   011 Division of Time Intervals By Numbers
  175.    wt: 2:   010 Repeated Addition of Time Intervals
  176.    wt: 2:   8 Addition of Time Intervals via subtotaling
  177.    wt: 2:   4 Mixing and Changing Units of Time
  178.    wt: 2:   4 Definite Integrals Evaluation Exercises
  179.    wt: 2:   29 Chain Rule Optional Reading
  180.    wt: 2:   25 Chain Rule Animated Examples Continued
  181.    wt: 2:   19 Chain Rule for linear functions
  182.    wt: 2:   18 Chain Rule Introduction
  183.    wt: 2:   17 Derivatives of quotients of sine and cosine
  184.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  185.    wt: 2:   15 sine and cosine derivatives 3rd step
  186.    wt: 2:   14 sine and cosine derivatives 2nd step
  187.    wt: 2:   13 sine and cosine derivatives 1st step
  188.    wt: 2:   10 Power rule for negative integers
  189.    wt: 2:   11 Limits at infinity Three Examples
  190.    wt: 2:   6 Continuity at a point
  191.    wt: 2:   3 Decimal insights for limits continuity convergence
  192.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  193.    wt: 2:   F.4 Finite Covering Theorem
  194.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  195.    wt: 2:   Chapter 23 Links To Trigonometry
  196.    wt: 2:   Chapter 16. Painless Theorem Proving
  197.    wt: 2:   Chapter 15. Solving Linear Equations
  198.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  199.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  200.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  201.    wt: 2:   N Improving Marks on Tests and Finals
  202.    wt: 2:   G. Written work formats for developing and showing skill
  203.    wt: 2:   C. Domino effect of being careful
  204.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  205.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  206.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  207.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  208.    wt: 2:   Systematic Algebra Skill Development Missing Links
  209.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  210.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  211.    wt: 1:   Appendix 2 primary school Arithmetic 01
  212.    wt: 1:   K LAMP Musings Science Education
  213.    wt: 1:   I LAMP Introduction Study Habits
  214.    wt: 1:   F LAMP Introduction Prerequisites
  215.    wt: 1:   E LAMP Introduction Modern Mathematics
  216.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  217.    wt: 1:   A Introduction Objectives
  218.    wt: 1:   Skills Chapter 0 Introduction
  219.    wt: 1:   10 statistics
  220.    wt: 1:   9 combinatorics probability sets
  221.    wt: 1:   7 logic review and decimals an odd combination
  222.    wt: 1:   site origins
  223.    wt: 1:   About site lesson plans
  224.    wt: 1:   learning takes time
  225.    wt: 1:   mathematics in context
  226.    wt: 1:   Education Reform Inconsistencies
  227.    wt: 1:   teaching tips
  228.    wt: 1:   Lessening Algebra Difficulties
  229.    wt: 1:   Operational Viewpoint to Value
  230.    wt: 1:   formal or informal peer review
  231.    wt: 1:   Education in mathematics science and technology
  232.    wt: 1:   How to be a better instructor
  233.    wt: 1:   words for mathematics instructor
  234.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  235.    wt: 1:   chapitre 06 00 Chaines de la raison
  236.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  237.    wt: 1:   chapitre 04 01 Premiere enigme
  238.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  239.    wt: 1:   deux definitions pour variable
  240.    wt: 1:   A Energy Power01
  241.    wt: 1:   1 Conductance Resistance Duality01
  242.    wt: 1:   C Wire Resistance Calculation01
  243.    wt: 1:   A Wire Resistance Qualitative01
  244.    wt: 1:   3 Like resistors in parallel
  245.    wt: 1:   1 Like resistors in series
  246.    wt: 1:   G Series Circuit01
  247.    wt: 1:   F Unlike Resistors in Series
  248.    wt: 1:   B Electromotive force conventional current01
  249.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  250.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  251.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  252.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  253.    wt: 1:   15 Counting For Parents
  254.    wt: 1:   9 Streaming by Student Cooperation
  255.    wt: 1:   4 Learning Takes Time and Effort
  256.    wt: 1:   3 Preparing for Science Studies
  257.    wt: 1:   1 Speaking Skills
  258.    wt: 1:   Ages 10 to 12 Geometry
  259.    wt: 1:   Ages 10 to 12 Arithmetic
  260.    wt: 1:   Ages 9 to 10
  261.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  262.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  263.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  264.    wt: 1:   23 Inverse Functions
  265.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  266.    wt: 1:   19 Horizontal line rule and method
  267.    wt: 1:   18 Vertical Line Rule and Method
  268.    wt: 1:   17 Function maxima minima and their location
  269.    wt: 1:   14 Surjections Injections Bijections
  270.    wt: 1:   12 Function Domain Recognition Exercises
  271.    wt: 1:   11 Function Domain Range Source and Targets
  272.    wt: 1:   9 Set theory term relation possible origins
  273.    wt: 1:   4 Function notation in and beyond mathematics
  274.    wt: 1:   3 Formula or function graphing exercise
  275.    wt: 1:   1 Geometric Introduction of Function Notation
  276.    wt: 1:   A Quadratics Summary
  277.    wt: 1:   10 quadratic exercises
  278.    wt: 1:   9 quadratics physical and further context
  279.    wt: 1:   8 quadratics backward use of various formulas
  280.    wt: 1:   6 quadratics numerical approach
  281.    wt: 1:   4 quadratics difference of two squares
  282.    wt: 1:   11 Growth and Decay in Biology
  283.    wt: 1:   10 Exponential Growth and Decay Models
  284.    wt: 1:   8 Notes for instructors or tutors
  285.    wt: 1:   7 Links Lessons Elsewhere
  286.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  287.    wt: 1:   4 Polynomials Long division linear divisor
  288.    wt: 1:   Rewriting algebraic substitution as function substitutions
  289.    wt: 1:   11 arctan left inverse of tangent Graph
  290.    wt: 1:   9 motivation for name arcsin
  291.    wt: 1:   2 cosine function more properties
  292.    wt: 1:   1 cosine function properties
  293.    wt: 1:   7 Radian Measures in special Triangles
  294.    wt: 1:   1 Degrees and Radians Introduction
  295.    wt: 1:   10 Parallelogram Addition Method
  296.    wt: 1:   9 Head to Tail Coordinate View
  297.    wt: 1:   8 Parallel Vectors
  298.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  299.    wt: 1:   3 Navigation with Arrows or Vectors
  300.    wt: 1:   2 Signed Coordinates
  301.    wt: 1:   1 Unsigned Coordinates
  302.    wt: 1:   3 graphing y=f(x c) plus K
  303.    wt: 1:   1 graphing y=f(x a)
  304.    wt: 1:   Parallel Lines and Parallel Transversals
  305.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  306.    wt: 1:   8 Straight Lines Equation for vertical
  307.    wt: 1:   7 Tangent Function is odd on this domain
  308.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  309.    wt: 1:   1 Straight Lines Slope Concept
  310.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  311.    wt: 1:   17F Law of cosines
  312.    wt: 1:   1 Unit Points Reflections Rotations
  313.    wt: 1:   Unit Circle Development of Trigonometry
  314.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  315.    wt: 1:   16 References and Originality Question
  316.    wt: 1:   14 Law of cosines
  317.    wt: 1:   8 Unit Circle Development of Trigonometry
  318.    wt: 1:   1 Rectangular Polar Coordinates Review
  319.    wt: 1:   8 Triangles Cascade Problem Solving
  320.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  321.    wt: 1:   Why Trigonometry the whyslopes view
  322.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  323.    wt: 1:   11 Triangle Similarity Missing Side Problem
  324.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  325.    wt: 1:   6 Geometric Diagrams in Class
  326.    wt: 1:   3 Similarity by Design with coordinates
  327.    wt: 1:   12 Links Lessons elsewhere
  328.    wt: 1:   8 Mid Point Formula
  329.    wt: 1:   4 Equations for lines three forms
  330.    wt: 1:   3 Slope product for perpendicular lines
  331.    wt: 1:   1 Numerical view of lines and their equations
  332.    wt: 1:   12 Spatial Coordinates
  333.    wt: 1:   11 Triangle Inequality
  334.    wt: 1:   10 Pythagorean plane distance formula
  335.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  336.    wt: 1:   4 Polar Coordinates to and from
  337.    wt: 1:   3 Rectangular Coordinates Review
  338.    wt: 1:   2 Cartesian Coordinates with signs
  339.    wt: 1:   1 Cartesian Coordinates sans signs
  340.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  341.    wt: 1:   PS E Multiplication with Polar Coordinates
  342.    wt: 1:   PS D Addition with Cartesian Coordinates
  343.    wt: 1:   14 Parallel Lines Postulate
  344.    wt: 1:   1 Initial Concepts and Terms
  345.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  346.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  347.    wt: 1:   2 Measuring Area Directly
  348.    wt: 1:   musings do not puiblish real numbers
  349.    wt: 1:   A Modular and Remainder Arithmetic
  350.    wt: 1:   21 Addition of Multiples of a Single Vector
  351.    wt: 1:   19 Signed Multiples of Vectors
  352.    wt: 1:   15 Head to Tails in place Addition Associative
  353.    wt: 1:   9 Division with Digits after Decimal Point
  354.    wt: 1:   1 Fractions with Finite Decimal Expansions
  355.    wt: 1:   4 Commutative Law Groups Counting Form
  356.    wt: 1:   3 Inequalities Algebraically
  357.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  358.    wt: 1:   5 Proportionality in Equivalent Fractions
  359.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  360.    wt: 1:   6 Compound Interest Forward and Backwards
  361.    wt: 1:   3 Linear Equation Literal Solution More
  362.    wt: 1:   2 Linear Equation Literal Solution
  363.    wt: 1:   1 Changing Calculations
  364.    wt: 1:   5 Equality in Algebra
  365.    wt: 1:   12 Real Number Additive Inverses or Negatives
  366.    wt: 1:   10 Real Number Lengths and Signs
  367.    wt: 1:   2 Integers
  368.    wt: 1:   5 Independent versus Dependent Variables
  369.    wt: 1:   4 Changing Letters
  370.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  371.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  372.    wt: 1:   4 Solving a triangular system exercise
  373.    wt: 1:   3 Solving triangular system example
  374.    wt: 1:   5 Algebraic Solutions Introduction
  375.    wt: 1:   10 One Example
  376.    wt: 1:   Using Letters for Physical Quantities
  377.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  378.    wt: 1:   10 Volume of Pyramid
  379.    wt: 1:   8 Compound Interest Formula Evaluation
  380.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  381.    wt: 1:   9 Sets in Probability and Statistics
  382.    wt: 1:   3 Counting with Sets etc
  383.    wt: 1:   1 Finite Sets
  384.    wt: 1:   5 Talking about Numbers and Quantities
  385.    wt: 1:   3 Adding Words To Arithmetic
  386.    wt: 1:   1 Squares and Square Roots Introduction
  387.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  388.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  389.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  390.    wt: 1:   4 LCM of 8 and 10 via Prime
  391.    wt: 1:   2 Least Common Multiple LCM intro via list method
  392.    wt: 1:   1 Least Common Multiples LCM Introduction
  393.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  394.    wt: 1:   4 Counting with Trees Product Rule Take I
  395.    wt: 1:   3 Counting with Tables and Trees II
  396.    wt: 1:   2 Counting with Tables and Trees I
  397.    wt: 1:   9 subtracting signed numbers
  398.    wt: 1:   8 multiplying signed numbers
  399.    wt: 1:   7 negative and additive inverse
  400.    wt: 1:   6 adding signed numbers
  401.    wt: 1:   2 signed and unsigned numbers as coordinates
  402.    wt: 1:   3 Multiplying Units and Numbers
  403.    wt: 1:   21 Working With Signs
  404.    wt: 1:   20 Dividing Fractions the Why
  405.    wt: 1:   19 Dividing Fractions How TO
  406.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  407.    wt: 1:   D Remainders Modulo 11 Pair Rule
  408.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  409.    wt: 1:   B Integer Long Division Multiple Choices
  410.    wt: 1:   13 Subtraction with Additive Inverse
  411.    wt: 1:   8 Multiplication by Signed Numbers Integers
  412.    wt: 1:   5 Zero Movement and Additive Inverses
  413.    wt: 1:   4 Adding Movements wiht opposite directions
  414.    wt: 1:   3 Adding Movements with same direction
  415.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  416.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  417.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  418.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  419.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  420.    wt: 1:   23 Remainder Arithmetic Modulo 2
  421.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  422.    wt: 1:   21 Remainder Arithmetic Modulo 3
  423.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  424.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  425.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  426.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  427.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  428.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  429.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  430.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  431.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  432.    wt: 1:   5 Remainder Arithmetic Modulo 5
  433.    wt: 1:   17 Identify and Count Factors using Primes
  434.    wt: 1:   16 video Factors of 980 using prime
  435.    wt: 1:   15 video Factors of 20 using Prime Factorization
  436.    wt: 1:   13 video Factors of 24 using prime
  437.    wt: 1:   12 LCD GCD and LCM using Primes
  438.    wt: 1:   10 video Prime Factorization upto 23 squared
  439.    wt: 1:   4 video Prime Factorization Introduction
  440.    wt: 1:   11 Another Single Digit Divisor Example
  441.    wt: 1:   10 Division by Five Long and Short Ways
  442.    wt: 1:   8 Correcting the Mistake
  443.    wt: 1:   7 Long Divison Mistake Catching
  444.    wt: 1:   5 Long Division Include Zeroes or not
  445.    wt: 1:   3 Division Single Digit Divisor Example
  446.    wt: 1:   2 Division with Single Digit Divisors
  447.    wt: 1:   C Counting Areas with Powers of Ten
  448.    wt: 1:   Video Power Notation in Decimal Expansion
  449.    wt: 1:   9 22 Minute Subtraction Review Video
  450.    wt: 1:   2 Decimal Counting Practices
  451.    wt: 1:   11 Place Value SI Standard International way
  452.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  453.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  454.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  455.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  456.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  457.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  458.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  459.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  460.    wt: 1:   013 Travel Time Tables
  461.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  462.    wt: 1:   7 Addition of Time Intervals
  463.    wt: 1:   2 Time and Date Matters in School
  464.    wt: 1:   1 Intro of Kids To Time Date Skills
  465.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  466.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  467.    wt: 1:   A Related Material in Volume 3
  468.    wt: 1:   3 Two Chain Rule Method Exercises
  469.    wt: 1:   A Related lessons in Volume 3
  470.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  471.    wt: 1:   A Chain Rule Real Player video examples
  472.    wt: 1:   33 Chain Rule Real Player video examples
  473.    wt: 1:   31 Derivatives of inverse functions
  474.    wt: 1:   30Chain Rule A Proof
  475.    wt: 1:   28 Chain Rule Preparation for a Proof
  476.    wt: 1:   24 Chain Rule Animated Examples
  477.    wt: 1:   22 Chain Rule for polynomials
  478.    wt: 1:   21 Chain Rule for powers
  479.    wt: 1:   20 Chain Rule for Pulley Systems
  480.    wt: 1:   3 Motivation for Limit Definition Take 2
  481.    wt: 1:   2 Motivation for Limit Definition Take 1
  482.    wt: 1:   9 Limits Continuity and Composition
  483.    wt: 1:   1 Numerical introduction
  484.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  485.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  486.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  487.    wt: 1:   F.5a Equicontinuity Theorems
  488.    wt: 1:   F.3 Intermediate Value Theorem
  489.    wt: 1:   F.1 What Functions are Continuous
  490.    wt: 1:   E1 Error Control Inequalities
  491.    wt: 1:   C Triangle Inequalities
  492.    wt: 1:   PostScript For and Against Decimal Perspectives
  493.    wt: 1:   A1. Introduction
  494.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  495.    wt: 1:   Chapter 18. Slopes Areas Integration
  496.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  497.    wt: 1:   Chapter 11. Graphing Slope versus Position
  498.    wt: 1:   Chapter 10 Slopes and Units
  499.    wt: 1:   Chapter 9 About First Courses in Calculus
  500.    wt: 1:   Chapter 8. Slope Interpretation
  501.    wt: 1:   Chapter 1.Introduction
  502.    wt: 1:   Appendix D. What to do in School and Why
  503.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  504.    wt: 1:   Chapter 31 Direct and Indirect Reason
  505.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  506.    wt: 1:   Chapter 25. Mathematical Induction Examples
  507.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  508.    wt: 1:   Chapter 21. Third Reading Guide
  509.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  510.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  511.    wt: 1:   Chapter 13. Second Reading Guide
  512.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  513.    wt: 1:   Chapter 4 Longer Chains of Reason
  514.    wt: 1:   Chapter 3 Chains of Reason
  515.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  516.    wt: 1:   Annotated Links to Material Elsehwere
  517.    wt: 1:   Chapter 11 Elementary Instruction
  518.    wt: 1:   Chapter 10 Transition
  519.    wt: 1:   Chapter 8 Modern Instruction
  520.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  521.    wt: 1:   Chapter 2 For and Against Mathematics
  522.    wt: 1:   Chapter 1 Introduction
  523.    wt: 1:   Postscript B More on Story Telling and Reason
  524.    wt: 1:   Postscript A Story Telling
  525.    wt: 1:   Chapter 24 Direct and Indirect Reason
  526.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  527.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  528.    wt: 1:   Chapter 10 Responsibility
  529.    wt: 1:   Chapter 7 Longer Chains of Reason
  530.    wt: 1:   Chapter 6 Chains of Reason
  531.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  532.    wt: 1:   Chapter 1 Introduction
  533.    wt: 1:   S Adding words to algebra
  534.    wt: 1:   O On Learning Mathematics and Science
  535.    wt: 1:   J. More on written work and showing skill
  536.    wt: 1:   H Jigsaw puzzles and problem solving
  537.    wt: 1:   B. Domino effect of errors
  538.    wt: 1:   7 Games and Activities for Instruction
  539.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  540.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  541.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  542.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

980 matches:

  1.    wt: 9:   16 cotangent function Definition Graph and Inverse
  2.    wt: 9:   15 cosecant function Definition Graph and Inverse
  3.    wt: 9:   14 secant function Definition Graph and Inverse
  4.    wt: 9:   13 cosecant function Definition Graph and Inverse
  5.    wt: 9:   9 motivation for name arcsin
  6.    wt: 9:   2 cosine function more properties
  7.    wt: 9:   1 cosine function properties
  8.    wt: 9:   11 Component Method
  9.    wt: 9:   10 Parallelogram Addition Method
  10.    wt: 9:   6 Vectors with Coordinates
  11.    wt: 9:   3 graphing y=f(x c) plus K
  12.    wt: 9:   Parallel Lines and Parallel Transversals
  13.    wt: 9:   Proportionality of Line Segments From Parallel Transversals
  14.    wt: 9:   10 Straight Lines through Origin Equations More
  15.    wt: 9:   3 Straight Lines Slope as Tangent of Inclination Angle
  16.    wt: 9:   35 sines and cosines of 2A 3A 4A 5A
  17.    wt: 9:   34 sines and cosines of 2A 3A 4A 5A
  18.    wt: 9:   33 sines and cosines of 2A 3A 4A 5A
  19.    wt: 9:   27 Logarithmic use of products of sines and cosines
  20.    wt: 9:   26 Formulas for products of sines and cosines
  21.    wt: 9:   23 sine and cosine of 180 plus 22.5 degrees
  22.    wt: 9:   21 sine and cosine Half Angle Formulas
  23.    wt: 9:   20 sine and cosine Double Angle Formulas
  24.    wt: 9:   19 Pythagorean Identity For sine and cosine functions
  25.    wt: 9:   18 sum of sinusoidal waves as a single wave
  26.    wt: 9:   17D cis formulas for sine cosines and tangent
  27.    wt: 9:   17C sine and cosine double triple angle formulas
  28.    wt: 9:   17B sine cosine Angle Sum Formulas via cis
  29.    wt: 9:   15 sine cosine Complementary Angle Relations
  30.    wt: 9:   14 cosine even and sine and tangent are odd
  31.    wt: 9:   11 tangent function undefined when terminal side vertical
  32.    wt: 9:   9 Graphs of sine and cosine over one period
  33.    wt: 9:   7 period of sine and cosine
  34.    wt: 9:   6 sines and cosines for reference angle 30 degrees
  35.    wt: 9:   5 sines and cosines for reference angle 60 degrees
  36.    wt: 9:   3 sines and cosines for reference angle 90 degrees
  37.    wt: 9:   11 sine and cosine double triple angle formulas
  38.    wt: 9:   10 sine cosine Angle Sum Formulas via cis
  39.    wt: 9:   10 Midpoint of [a b] and [b a]
  40.    wt: 9:   9 Midpoint Coordinates Half Endpoint Sum
  41.    wt: 9:   1 Numerical view of lines and their equations
  42.    wt: 9:   11 Triangle Inequality
  43.    wt: 9:   1 Cartesian Coordinates sans signs
  44.    wt: 9:   10 Dropping a perpendicular to line
  45.    wt: 9:   A Measurement with Ruler Proper Use
  46.    wt: 9:   10 Three one sided limits with infinite values
  47.    wt: 8:   11 arctan left inverse of tangent Graph
  48.    wt: 8:   6 Graph of arccos function
  49.    wt: 8:   4 possible motivation for term arccos
  50.    wt: 8:   1 Degrees and Radians Introduction
  51.    wt: 8:   15 Dot and Cross Product
  52.    wt: 8:   14 Why Scalar Multiplication Distributes Physical Argument
  53.    wt: 8:   12 From Applied To Pure Mathematics
  54.    wt: 8:   9 Head to Tail Coordinate View
  55.    wt: 8:   8 Parallel Vectors
  56.    wt: 8:   7 Coordinate Addition and Scalar Multiplication
  57.    wt: 8:   3 Navigation with Arrows or Vectors
  58.    wt: 8:   2 Signed Coordinates
  59.    wt: 8:   Triangle Angles Sum To 180 Degrees
  60.    wt: 8:   D Straight Lines Slope from Coordinates Examples
  61.    wt: 8:   C Straight Lines Slope from Coordinates
  62.    wt: 8:   B Straight Line Slope Scaling Properties More
  63.    wt: 8:   A Straight Line Slope Scaling Properties
  64.    wt: 8:   14 Straight Lines Equations General Case
  65.    wt: 8:   12 Straight Lines Graphing mx plus b
  66.    wt: 8:   11 Straight Lines Graphing y=mx
  67.    wt: 8:   9 Straight Lines through Origin Equations
  68.    wt: 8:   6 Tangent Function Inclination Angle Take 2
  69.    wt: 8:   1 Straight Lines Slope Concept
  70.    wt: 8:   22 sine of 22.5 degrees via half angle formulas
  71.    wt: 8:   17F Law of cosines
  72.    wt: 8:   13 Graph of tangent function many periods
  73.    wt: 8:   12 cis formulas for sine cosines and tangent
  74.    wt: 8:   1 Rectangular Polar Coordinates Review
  75.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  76.    wt: 8:   3 Trigonometric Ratios sine and cosine
  77.    wt: 8:   1 Angle Measurement with Degrees
  78.    wt: 8:   11 Triangle Similarity Missing Side Problem
  79.    wt: 8:   12 Links Lessons elsewhere
  80.    wt: 8:   11 A Partial Summary
  81.    wt: 8:   2 point slope equation for a line
  82.    wt: 8:   12 Spatial Coordinates
  83.    wt: 8:   10 Pythagorean plane distance formula
  84.    wt: 8:   8 Distance Between Points on a Line
  85.    wt: 8:   1 Initial Concepts and Terms
  86.    wt: 8:   11 Limits at infinity Three Examples
  87.    wt: 7:   12 motivation for term arctan
  88.    wt: 7:   7 Radian Measures in special Triangles
  89.    wt: 7:   A Global Time and Navigation
  90.    wt: 7:   5 Head To Tail Arrow Addition
  91.    wt: 7:   4 Resultant of a Sum of Movements
  92.    wt: 7:   Vector and Complex Number Applet
  93.    wt: 7:   8 Straight Lines Equation for vertical
  94.    wt: 7:   7 Tangent Function is odd on this domain
  95.    wt: 7:   2 Straight Lines Slopes As Rise Over Run
  96.    wt: 7:   32 seven rows of pascals triangle
  97.    wt: 7:   31 basic secant cosecant cotangent trig identities
  98.    wt: 7:   30 unit circle calculation of six trigonometric functions
  99.    wt: 7:   29 secant cosecant and cotangent for acute angles
  100.    wt: 7:   25 tangent double angle formula Slope connection
  101.    wt: 7:   24 tangent Angle Difference Formula
  102.    wt: 7:   17G Pythagorean Theorem Converse
  103.    wt: 7:   17E Trig Formulas for dot and cross Products
  104.    wt: 7:   17A The complex number valued trig function cis
  105.    wt: 7:   16 Right Triangle Complementary Angle Relations
  106.    wt: 7:   12 Graph of tangent function for one period
  107.    wt: 7:   8 period of tangent function
  108.    wt: 7:   1 Unit Points Reflections Rotations
  109.    wt: 7:   Unit Circle Development of Trigonometry
  110.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  111.    wt: 7:   16 References and Originality Question
  112.    wt: 7:   14 Law of cosines
  113.    wt: 7:   8 Triangles Cascade Problem Solving
  114.    wt: 7:   2 Similar Triangles Equality of Corresponding Side Ratios
  115.    wt: 7:   Why Trigonometry the whyslopes view
  116.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  117.    wt: 7:   10 Similarity of Triangles Equivalent of Two Criteria
  118.    wt: 7:   4 Similarity Definition with Coordinate
  119.    wt: 7:   8 Mid Point Formula
  120.    wt: 7:   4 Equations for lines three forms
  121.    wt: 7:   3 Slope product for perpendicular lines
  122.    wt: 7:   13 Pythagorean spatial distance formulas
  123.    wt: 7:   9 Pythagorean Theorem Chinese Square Proof
  124.    wt: 7:   4 Polar Coordinates to and from
  125.    wt: 7:   3 Rectangular Coordinates Review
  126.    wt: 7:   2 Cartesian Coordinates with signs
  127.    wt: 7:   PS C Similarity Use Recognize it in Trigonometry
  128.    wt: 7:   14 Parallel Lines Postulate
  129.    wt: 7:   11 Triangle Construction Fails
  130.    wt: 7:   6 Infinite Decimals Ending in 9 repeating
  131.    wt: 7:   1 The Counting Origins of Numbers
  132.    wt: 7:   Appendix 1 Counting Revisited 15 minute video
  133.    wt: 7:   7 Adding decimal fractions using decimal point
  134.    wt: 7:   1. Explaining Addition Table
  135.    wt: 7:   1 Numerical introduction
  136.    wt: 6:   16 Increasing or decreasing on intervals
  137.    wt: 6:   2 quadratics graphing in general
  138.    wt: 6:   9 Summary Degrees to Radians and back
  139.    wt: 6:   8 Radian Measures of Common Angles
  140.    wt: 6:   6 Radian Measure to Degrees
  141.    wt: 6:   5 Degrees to Radian Measure
  142.    wt: 6:   4 Circle Sector Area proportional to Central Angle
  143.    wt: 6:   3 Circle Arclengh Proportional to Central Angle
  144.    wt: 6:   2 Radian Measure Numerical Value of one degree
  145.    wt: 6:   5 Tangent Function Graph
  146.    wt: 6:   4 Tangent Function Properties
  147.    wt: 6:   17 tangent function angle sum formulas
  148.    wt: 6:   2 Quadrant I reference Angles
  149.    wt: 6:   21 Logarithms Powers and Exponentials
  150.    wt: 6:   19 N th Roots of Unity
  151.    wt: 6:   18 Sixth Roots of Unity
  152.    wt: 6:   17 Cube Roots of unity
  153.    wt: 6:   15 Pythagorean Theorem Converse
  154.    wt: 6:   13 Trig Formulas for dot and cross Products
  155.    wt: 6:   8 Unit Circle Development of Trigonometry
  156.    wt: 6:   7 Trignometric Ratios Unit Circle
  157.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  158.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  159.    wt: 6:   13 Navigation Location from Angles to 2 Landmarks
  160.    wt: 6:   12 Triangles Similarity More Problems
  161.    wt: 6:   6 Geometric Diagrams in Class
  162.    wt: 6:   3 Similarity by Design with coordinates
  163.    wt: 6:   2 Similarity By Design
  164.    wt: 6:   1 Early Concept of Like or Similar Shapes
  165.    wt: 6:   Four Simple Exercises
  166.    wt: 6:   7 Exercises to test skill and concept mastery
  167.    wt: 6:   5 Algebraic View of Slopes
  168.    wt: 6:   What is and is not here
  169.    wt: 6:   7 Complex Numbers Appetizer
  170.    wt: 6:   6 Polar Multiplication and Rotation
  171.    wt: 6:   5 Cartesian Addition and Translation
  172.    wt: 6:   Euclidean Geometry Elsewhere LINKS
  173.    wt: 6:   PS E Multiplication with Polar Coordinates
  174.    wt: 6:   PS D Addition with Cartesian Coordinates
  175.    wt: 6:   PS A Kite Construction Methods
  176.    wt: 6:   21 Parallelograms
  177.    wt: 6:   19 Right Triangle Similarity
  178.    wt: 6:   18 Triangle Similarity Take 1
  179.    wt: 6:   17 Right Bisectors of Triangle Sides
  180.    wt: 6:   16 Angles Subtended By Chords and Diameters
  181.    wt: 6:   15 Triangle Angle Sum is 180 degrees
  182.    wt: 6:   13 Angle Side Angle Failure
  183.    wt: 6:   12 Side Angle Side Failure
  184.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  185.    wt: 6:   10 Euclid Algorithm with 129 125 and with 45 14
  186.    wt: 6:   9 GCD of 360 110 via Primes and Euclid Algorithm
  187.    wt: 6:   4 LCM of 8 and 10 via Prime
  188.    wt: 6:   1 Least Common Multiples LCM Introduction
  189.    wt: 6:   11 Adding Integers Formulas and Examples
  190.    wt: 6:   1 Integers as Coordinates
  191.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  192.    wt: 6:   6. Counting and adding units and mixed units
  193.    wt: 6:   11 Place Value SI Standard International way
  194.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  195.    wt: 6:   1 Chain Rule in Reverse Integration Method
  196.    wt: 6:   13 Limits with Parameters and Derivatives Take II
  197.    wt: 6:   12 Limits with Parameters and Derivatives Take I
  198.    wt: 6:   9 Limits Continuity and Composition
  199.    wt: 6:   6 Continuity at a point
  200.    wt: 6:   3 Decimal insights for limits continuity convergence
  201.    wt: 5:   mathematics instruction in general
  202.    wt: 5:   Different Kinds of Reasoning in maths
  203.    wt: 5:   cultivating intelligence
  204.    wt: 5:   3 quadratics factoring by inspection
  205.    wt: 5:   1 quadratics graphing exercises
  206.    wt: 5:   20 N th Roots of Complex Numbers
  207.    wt: 5:   9 The complex number valued trig function cis
  208.    wt: 5:   7 Second Way to Calculate Products
  209.    wt: 5:   6 Field Properties of Complex Number
  210.    wt: 5:   5 An Easy Proof of the Distributive Law
  211.    wt: 5:   4 Multiplication Properties
  212.    wt: 5:   3 Addition Properties
  213.    wt: 5:   2 Complex Numbers made easier we hope
  214.    wt: 5:   Appetizer A Complex Number Applet
  215.    wt: 5:   9 Similarity of Triangles Usual Criteria
  216.    wt: 5:   8 Similarity of Triangles and Polygons
  217.    wt: 5:   7 Translations Rotations Reflections Dilatations
  218.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  219.    wt: 5:   PS H Distributive Law For Complex Numbers
  220.    wt: 5:   PS G Rotation Distributes over Addition
  221.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  222.    wt: 5:   PS B Parallelogram Construction Methods
  223.    wt: 5:   9 Construction of a right bisector
  224.    wt: 5:   8 Isoceles Triangles
  225.    wt: 5:   7 Angle Side Angle
  226.    wt: 5:   6 Ruler and compass Angle Bisection
  227.    wt: 5:   5 Side Angle Side
  228.    wt: 5:   4 Side Side Side
  229.    wt: 5:   3 Isometry of Triangles Congruence
  230.    wt: 5:   2 Correspondence between Triangles
  231.    wt: 5:   Short Course on Euclidean Geometry
  232.    wt: 5:   About Folder Contents
  233.    wt: 5:   8 Column Multiplication Methods in General
  234.    wt: 5:   3 Multiplicative Counting Skills Principles
  235.    wt: 5:   2 Combing Counts Addition Skills and Principles
  236.    wt: 5:   1 Decimals Modular and Remainder Arithmetic
  237.    wt: 5:   1 GE Substitution four examples
  238.    wt: 5:   1 Essentially One Unknown
  239.    wt: 5:   10 One Example
  240.    wt: 5:   1 Squares and Square Roots Introduction
  241.    wt: 5:   13 GCD from given Prime Factorization
  242.    wt: 5:   11 GCD 2700 288 via Euclid Algorithm
  243.    wt: 5:   8 GCD from Euclidean Algorithm
  244.    wt: 5:   7 GCD and LCM from prime factorization
  245.    wt: 5:   6 GCD from Prime
  246.    wt: 5:   2 Least Common Multiple LCM intro via list method
  247.    wt: 5:   12 GCD 2700 288 via Prime
  248.    wt: 5:   15 Adding and Subtracting with Unlike Denominators
  249.    wt: 5:   14 Adding and Subtracting with Like Denominators
  250.    wt: 5:   12 Adding Integers More Examples
  251.    wt: 5:   10 Integer Multiplication Formulas
  252.    wt: 5:   1 Comparison and Subtraction Easy Direct Cases
  253.    wt: 5:   2 Decimal Counting Practices
  254.    wt: 5:   10 Names for Big Numbers and Powers of Ten Expansion
  255.    wt: 5:   2 Indefinite Integrals Exercises
  256.    wt: 5:   29 Chain Rule Optional Reading
  257.    wt: 5:   27 Chain Rule sinusoidal outer inner functions EGS
  258.    wt: 5:   26 Chain Rule Recognising outer inner functions
  259.    wt: 5:   23 Chain Rule in general
  260.    wt: 5:   19 Chain Rule for linear functions
  261.    wt: 5:   18 Chain Rule Introduction
  262.    wt: 5:   17 Derivatives of quotients of sine and cosine
  263.    wt: 5:   16 Derivatives of reciprocals of sine and cosine
  264.    wt: 5:   15 sine and cosine derivatives 3rd step
  265.    wt: 5:   14 sine and cosine derivatives 2nd step
  266.    wt: 5:   13 sine and cosine derivatives 1st step
  267.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  268.    wt: 4:   grouping students according to ability
  269.    wt: 4:   Maps Plans Drawings
  270.    wt: 4:   three kinds of reason in mathematics
  271.    wt: 4:   fairness and inductive principles for instruction
  272.    wt: 4:   chapitre 07 01 principle D induction mathematique
  273.    wt: 4:   5 quadratics completing the square
  274.    wt: 4:   Quadratics in 10 steps
  275.    wt: 4:   16 Collinear Horizontal Arrows Vectors
  276.    wt: 4:   13 Arrows and Vectors in a Plane
  277.    wt: 4:   12 Real Numbers Line Signed Coordinates
  278.    wt: 4:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  279.    wt: 4:   7 Arithmetic with Infinite Decimal Expansions
  280.    wt: 4:   5 Fractions with Infinite Decimal Expansions
  281.    wt: 4:   4 Location of Point in Decimal Addition
  282.    wt: 4:   3 Location of Point in Decimal Multiplication
  283.    wt: 4:   2 Counting Digits in Decimal Multiplication
  284.    wt: 4:   1 Fractions with Finite Decimal Expansions
  285.    wt: 4:   4 Commutative Law Groups Counting Form
  286.    wt: 4:   3 Inequalities Algebraically
  287.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  288.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  289.    wt: 4:   4 Solving a triangular system exercise
  290.    wt: 4:   3 Solving triangular system example
  291.    wt: 4:   1 Proper Equal Sign Usage
  292.    wt: 4:   Skill Development Notes
  293.    wt: 4:   Using Letters for Physical Quantities
  294.    wt: 4:   10 Set View of Wordy Extensions To Arithmetic
  295.    wt: 4:   1 Finite Sets
  296.    wt: 4:   4 Greater More Less Than Signs in General
  297.    wt: 4:   1 More and Less Than for Counts and Measures
  298.    wt: 4:   5 Square Roots with primes more still
  299.    wt: 4:   4 Square Roots with primes more
  300.    wt: 4:   3 Properties of Square Roots with example
  301.    wt: 4:   2 Square Roots with Prime
  302.    wt: 4:   17 GCD LCM of 85 and 60 via Prime
  303.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  304.    wt: 4:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  305.    wt: 4:   5 Common Divisors 60 45 via Prime
  306.    wt: 4:   LCM 60 45 Avoid List Method Use Prime
  307.    wt: 4:   1 Counting and Counting Methods I
  308.    wt: 4:   10 dividing signed numbers
  309.    wt: 4:   7 Converting or Changing Units
  310.    wt: 4:   13 Subtraction with Additive Inverse
  311.    wt: 4:   9 Multiplying Integers
  312.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  313.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  314.    wt: 4:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  315.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  316.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  317.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  318.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  319.    wt: 4:   12 Remainder Arithmetic Modulo 10 Example
  320.    wt: 4:   10 Remainder Arithmetic Long Division by 5 Quickly
  321.    wt: 4:   3 Remainder Arithmetic Modulos 10 more still
  322.    wt: 4:   2 Remainder Arithmetic Modulo 10 more
  323.    wt: 4:   1 Remainder Arithmetic Modulo 10
  324.    wt: 4:   11 Another Single Digit Divisor Example
  325.    wt: 4:   Subtraction with J Conversions Example
  326.    wt: 4:   Subtraction Another Video Lesson
  327.    wt: 4:   9 22 Minute Subtraction Review Video
  328.    wt: 4:   8 What skills and work habits to require
  329.    wt: 4:   5. How to add decimals C. Examples
  330.    wt: 4:   4. How to add with decimals B with conversions
  331.    wt: 4:   3. How to add with decimals A sans conversions
  332.    wt: 4:   9 Place Value Review Decimal form of Avogrados number included
  333.    wt: 4:   8 Review Lesson 1 2 4 and 6 All in One
  334.    wt: 4:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  335.    wt: 4:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  336.    wt: 4:   5 More on Groups of 3 Place Value in Decimal Fractions
  337.    wt: 4:   4 Groups of 3 Place Value in Decimal Fractions
  338.    wt: 4:   012 Division of Time Intervals by Time Intervals
  339.    wt: 4:   Area Between Crossing Curves Lesson Take 2
  340.    wt: 4:   Area Between Curves Lesson Take 1
  341.    wt: 4:   A Related Material in Volume 3
  342.    wt: 4:   4 Definite Integrals Evaluation Exercises
  343.    wt: 4:   1 Two cubic sketching exercises with 1st derivative
  344.    wt: 4:   25 Chain Rule Animated Examples Continued
  345.    wt: 4:   10 Power rule for negative integers
  346.    wt: 4:   3 Motivation for Limit Definition Take 2
  347.    wt: 4:   8 Four Animated Examples
  348.    wt: 4:   7 Evaluation by immediate or delayed substitution
  349.    wt: 4:   5 Jumps and absence of unlimited error control
  350.    wt: 4:   4 Numerical properties
  351.    wt: 4:   2 Algebraic codification
  352.    wt: 4:   Chapter 10 Describing and Changing Calculations
  353.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  354.    wt: 3:   J LAMP Introduction Extrinsic Origins
  355.    wt: 3:   Ramblings Extrinsic numbers theory
  356.    wt: 3:   Ramblings Introduction Algebra Essay
  357.    wt: 3:   links Education Resources online
  358.    wt: 3:   Postscript 2007 01 10
  359.    wt: 3:   teaching tutoring algebraic reason
  360.    wt: 3:   Operational Viewpoint to Value
  361.    wt: 3:   formal or informal peer review
  362.    wt: 3:   Education in mathematics science and technology
  363.    wt: 3:   Prequel In For A Penny In For A Pound
  364.    wt: 3:   chapitre 01 00 Introduction
  365.    wt: 3:   1 Conductance Resistance Duality01
  366.    wt: 3:   2 Unlike resistors in parallel01
  367.    wt: 3:   1 Like resistors in series
  368.    wt: 3:   Home Tutoring and Home Schooling
  369.    wt: 3:   10 Ends values for work study instruction
  370.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  371.    wt: 3:   1 Speaking Skills
  372.    wt: 3:   20 Interchanging coordinates a reflection
  373.    wt: 3:   19 Horizontal line rule and method
  374.    wt: 3:   18 Vertical Line Rule and Method
  375.    wt: 3:   17 Function maxima minima and their location
  376.    wt: 3:   14 Surjections Injections Bijections
  377.    wt: 3:   12 Function Domain Recognition Exercises
  378.    wt: 3:   11 Function Domain Range Source and Targets
  379.    wt: 3:   10 Interval Notation
  380.    wt: 3:   1 Geometric Introduction of Function Notation
  381.    wt: 3:   10 quadratic exercises
  382.    wt: 3:   9 quadratics physical and further context
  383.    wt: 3:   8 quadratics backward use of various formulas
  384.    wt: 3:   6 quadratics numerical approach
  385.    wt: 3:   4 quadratics difference of two squares
  386.    wt: 3:   11 Growth and Decay in Biology
  387.    wt: 3:   8 Notes for instructors or tutors
  388.    wt: 3:   7 Links Lessons Elsewhere
  389.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  390.    wt: 3:   4 Polynomials Long division linear divisor
  391.    wt: 3:   1 Polynomials Distributive Law
  392.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  393.    wt: 3:   19 Signed Multiples of Vectors
  394.    wt: 3:   15 Head to Tails in place Addition Associative
  395.    wt: 3:   9 Division with Digits after Decimal Point
  396.    wt: 3:   E Long Division Methods more
  397.    wt: 3:   D Long Division Methods
  398.    wt: 3:   C Three Decimal Subtraction Methods
  399.    wt: 3:   B Decimal Comparison and Subtraction
  400.    wt: 3:   A Decimal Addition Columm Methods
  401.    wt: 3:   7 Decimals Multiplication Methods Examples
  402.    wt: 3:   6 Column Methods for Decimal Multiplication
  403.    wt: 3:   5 Distributive Law for Whole Numbers
  404.    wt: 3:   5 Areas of Rectangles Revisited
  405.    wt: 3:   4 Fraction Operations Axiomatic Development
  406.    wt: 3:   2 Fraction Operations Physical Development
  407.    wt: 3:   1 Changing Calculations
  408.    wt: 3:   5 Greater More Less Than Signs in General
  409.    wt: 3:   9 Coordinates for Regions in Space
  410.    wt: 3:   8 Coordinates for Maps and Planes
  411.    wt: 3:   7 Real Numbers as Line Cordinates
  412.    wt: 3:   4 GE III Animated Examples
  413.    wt: 3:   3 GE III Equation Addition and Multiplication
  414.    wt: 3:   2 GE II Comparison
  415.    wt: 3:   2 Essentially one exercises three with solution
  416.    wt: 3:   5 Algebraic Solutions Introduction
  417.    wt: 3:   9 Three Examples
  418.    wt: 3:   8 One Example
  419.    wt: 3:   7 Two Examples
  420.    wt: 3:   6 Three Examples
  421.    wt: 3:   5 Three Examples
  422.    wt: 3:   4 Two Examples
  423.    wt: 3:   3 Two Examples
  424.    wt: 3:   2 Three Examples
  425.    wt: 3:   13 Naming Identifying Formulas with Words
  426.    wt: 3:   1 Written work formats for developing and showing skill
  427.    wt: 3:   9 Sets in Probability and Statistics
  428.    wt: 3:   3 Counting with Sets etc
  429.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  430.    wt: 3:   4 Counting with Trees Product Rule Take I
  431.    wt: 3:   3 Counting with Tables and Trees II
  432.    wt: 3:   2 Counting with Tables and Trees I
  433.    wt: 3:   11 What are real lengths and numbers
  434.    wt: 3:   4 signed coordinates for regions in space
  435.    wt: 3:   3 signed coordinates for maps and planes
  436.    wt: 3:   3 Multiplying Units and Numbers
  437.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  438.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  439.    wt: 3:   D Remainders Modulo 11 Pair Rule
  440.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  441.    wt: 3:   B Integer Long Division Multiple Choices
  442.    wt: 3:   8 Multiplication by Signed Numbers Integers
  443.    wt: 3:   5 Zero Movement and Additive Inverses
  444.    wt: 3:   4 Adding Movements wiht opposite directions
  445.    wt: 3:   3 Adding Movements with same direction
  446.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  447.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  448.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  449.    wt: 3:   26 Divisibility by 2 3 5 Example
  450.    wt: 3:   23 Remainder Arithmetic Modulo 2
  451.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  452.    wt: 3:   21 Remainder Arithmetic Modulo 3
  453.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  454.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  455.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  456.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  457.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  458.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  459.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  460.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  461.    wt: 3:   5 Remainder Arithmetic Modulo 5
  462.    wt: 3:   17 Identify and Count Factors using Primes
  463.    wt: 3:   16 video Factors of 980 using prime
  464.    wt: 3:   15 video Factors of 20 using Prime Factorization
  465.    wt: 3:   13 video Factors of 24 using prime
  466.    wt: 3:   12 LCD GCD and LCM using Primes
  467.    wt: 3:   11 Efficient Square Rule Use
  468.    wt: 3:   10 video Prime Factorization upto 23 squared
  469.    wt: 3:   1 video how Products are bigger than factor
  470.    wt: 3:   10 Division by Five Long and Short Ways
  471.    wt: 3:   1 Divsion Physical Examples
  472.    wt: 3:   Video Power Notation in Decimal Expansion
  473.    wt: 3:   1 Why 3 times 5 gives 15
  474.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  475.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  476.    wt: 3:   8 Subtraction with Units of Measure
  477.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  478.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  479.    wt: 3:   5 A Tip for Efficent Subtraction
  480.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  481.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  482.    wt: 3:   2 Subtraction Easy Case Examples
  483.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  484.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  485.    wt: 3:   016 Numbering Occidental Calendar Days
  486.    wt: 3:   015 School and work day counting tables
  487.    wt: 3:   014 Counting Days with Calendars
  488.    wt: 3:   011 Division of Time Intervals By Numbers
  489.    wt: 3:   010 Repeated Addition of Time Intervals
  490.    wt: 3:   Example 2 volume of a cone
  491.    wt: 3:   Area Between Crossing Curves Lesson Take 1
  492.    wt: 3:   Example 2
  493.    wt: 3:   Area Between Curves Lesson Take 2
  494.    wt: 3:   3 Two Chain Rule Method Exercises
  495.    wt: 3:   A Related lessons in Volume 3
  496.    wt: 3:   A Chain Rule Real Player video examples
  497.    wt: 3:   38 Formulas and derivatives for powers and roots
  498.    wt: 3:   33 Chain Rule Real Player video examples
  499.    wt: 3:   31 Derivatives of inverse functions
  500.    wt: 3:   30Chain Rule A Proof
  501.    wt: 3:   28 Chain Rule Preparation for a Proof
  502.    wt: 3:   24 Chain Rule Animated Examples
  503.    wt: 3:   22 Chain Rule for polynomials
  504.    wt: 3:   21 Chain Rule for powers
  505.    wt: 3:   20 Chain Rule for Pulley Systems
  506.    wt: 3:   12 Quotient rule examples
  507.    wt: 3:   11 Quotient rule
  508.    wt: 3:   2 Motivation for Limit Definition Take 1
  509.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  510.    wt: 3:   Chapter 23 Links To Trigonometry
  511.    wt: 3:   Chapter 11. Graphing Slope versus Position
  512.    wt: 3:   Chapter 10 Slopes and Units
  513.    wt: 3:   Chapter 1.Introduction
  514.    wt: 3:   N Improving Marks on Tests and Finals
  515.    wt: 3:   H more Routine to non routine problem solving
  516.    wt: 3:   Helping the Blind in Logic and Mathematics
  517.    wt: 2:   H LAMP Introduction Instructional Concepts
  518.    wt: 2:   G LAMP Introduction Problem Solving Skills
  519.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  520.    wt: 2:   Skills Chapter 1 Arithmetic
  521.    wt: 2:   Skills Chapter 0 Introduction
  522.    wt: 2:   10 statistics
  523.    wt: 2:   which way to go
  524.    wt: 2:   activities for students
  525.    wt: 2:   site origins
  526.    wt: 2:   About site lesson plans
  527.    wt: 2:   key notes and themes
  528.    wt: 2:   Mathematics Education Professors
  529.    wt: 2:   learning takes time
  530.    wt: 2:   what should be learnt and When
  531.    wt: 2:   mathematics in context
  532.    wt: 2:   Education Reform Inconsistencies
  533.    wt: 2:   five decades make a difference
  534.    wt: 2:   Secondary Three Mathematics
  535.    wt: 2:   Secondary Two Mathematics
  536.    wt: 2:   teaching tips
  537.    wt: 2:   Lessening Algebra Difficulties
  538.    wt: 2:   05 13 OldSiteEntrancePage
  539.    wt: 2:   04 29 New Mathematics Curriculum
  540.    wt: 2:   04 25 when to stop or suspend mathemat
  541.    wt: 2:   02 21 words for teachers
  542.    wt: 2:   02 20 mathematics education references
  543.    wt: 2:   three aims for mathematics students
  544.    wt: 2:   standards for course material
  545.    wt: 2:   Theory of Knowledge
  546.    wt: 2:   Four ways to improve education reform
  547.    wt: 2:   How to be a better instructor
  548.    wt: 2:   words for mathematics instructor
  549.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  550.    wt: 2:   chapitre 06 00 Chaines de la raison
  551.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  552.    wt: 2:   chapitre 04 01 Premiere enigme
  553.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  554.    wt: 2:   problemes responses
  555.    wt: 2:   A Energy Power01
  556.    wt: 2:   C Wire Resistance Calculation01
  557.    wt: 2:   A Wire Resistance Qualitative01
  558.    wt: 2:   3 Like resistors in parallel
  559.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  560.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  561.    wt: 2:   15 Counting For Parents
  562.    wt: 2:   11 Help and Defend Your Child or Teens Education
  563.    wt: 2:   2 Reading and Writing Skills
  564.    wt: 2:   Ages 10 to 12 Geometry
  565.    wt: 2:   Ages 10 to 12 Arithmetic
  566.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  567.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  568.    wt: 2:   26 Function definitions done and coming
  569.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  570.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  571.    wt: 2:   15 Sign analysis of functions
  572.    wt: 2:   13 From one to one to many to one
  573.    wt: 2:   7 Functions with finite domains
  574.    wt: 2:   Introduction Reading Guide
  575.    wt: 2:   A Quadratics Summary
  576.    wt: 2:   7 quadratic formulla derivation
  577.    wt: 2:   10 Exponential Growth and Decay Models
  578.    wt: 2:   1 Calculator Starter Exercises
  579.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  580.    wt: 2:   3 Polynomials Multiplication Addition
  581.    wt: 2:   2 Column Multiplication Method
  582.    wt: 2:   musings do not puiblish real numbers
  583.    wt: 2:   A Modular and Remainder Arithmetic
  584.    wt: 2:   21 Addition of Multiples of a Single Vector
  585.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  586.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  587.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  588.    wt: 2:   11 Signed Number Addition and Addition Properties
  589.    wt: 2:   8 Division and Mulplication of Compound Fractions
  590.    wt: 2:   1 What is Proportionality
  591.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  592.    wt: 2:   6 Compound Interest Forward and Backwards
  593.    wt: 2:   3 Linear Equation Literal Solution More
  594.    wt: 2:   2 Linear Equation Literal Solution
  595.    wt: 2:   1 Real Numbers Comparison
  596.    wt: 2:   12 Real Number Additive Inverses or Negatives
  597.    wt: 2:   5 Independent versus Dependent Variables
  598.    wt: 2:   4 Changing Letters
  599.    wt: 2:   1 Formulas Dependence and Function Notation
  600.    wt: 2:   More Exercises
  601.    wt: 2:   Simple Exercises
  602.    wt: 2:   6 Algebraic Solution Example
  603.    wt: 2:   4 Four Examples Fractional Coefficients
  604.    wt: 2:   3 Four Examples
  605.    wt: 2:   2 Three Examples
  606.    wt: 2:   Formula Usage Show Work Format
  607.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  608.    wt: 2:   10 Volume of Pyramid
  609.    wt: 2:   7 Compound Interest Formula Introduction
  610.    wt: 2:   8 Sets of Numbers
  611.    wt: 2:   7 Cautious or Safe Set Construction
  612.    wt: 2:   6 Power Set Notation
  613.    wt: 2:   5 Product Builder Notation
  614.    wt: 2:   4 Subset Builder Notation
  615.    wt: 2:   2 Venn Diagrams
  616.    wt: 2:   5 Talking about Numbers and Quantities
  617.    wt: 2:   3 Adding Words To Arithmetic
  618.    wt: 2:   1 Three Skills For Algebra
  619.    wt: 2:   3 Comparison of Negative Numbers
  620.    wt: 2:   2 More and Less Than with Unlike Signs
  621.    wt: 2:   9 subtracting signed numbers
  622.    wt: 2:   8 multiplying signed numbers
  623.    wt: 2:   7 negative and additive inverse
  624.    wt: 2:   6 adding signed numbers
  625.    wt: 2:   2 signed and unsigned numbers as coordinates
  626.    wt: 2:   6 Simplification of Fractions with Units
  627.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  628.    wt: 2:   4 Fractions with Units
  629.    wt: 2:   2 Equality and Units
  630.    wt: 2:   1 Addition and Subtraction with Units
  631.    wt: 2:   21 Working With Signs
  632.    wt: 2:   20 Dividing Fractions the Why
  633.    wt: 2:   19 Dividing Fractions How TO
  634.    wt: 2:   17 Efficient Ways to Add and Subtract
  635.    wt: 2:   16 Addition Subtraction Comparision Compared
  636.    wt: 2:   13 Fraction Comparison Algebraic View
  637.    wt: 2:   12 Fraction Comparison
  638.    wt: 2:   11 Simplification an Algebraic View
  639.    wt: 2:   9 Improper Fractions and Mixed Numbers
  640.    wt: 2:   8 Numerals Fractionals Quantals Take II
  641.    wt: 2:   7 Numerals Fractionals Quantals
  642.    wt: 2:   6 Multiplication of Mixed Numbers
  643.    wt: 2:   6 Multiplication Algebraically Take II
  644.    wt: 2:   5 Equivalent Fractions
  645.    wt: 2:   4 Fraction Multiplication
  646.    wt: 2:   3 Unit fraction of a fraction
  647.    wt: 2:   2 Unit Fraction Multiplication
  648.    wt: 2:   1 What is a fraction Take II
  649.    wt: 2:   1 What is a fraction
  650.    wt: 2:   A Associative Law Theorectical Note
  651.    wt: 2:   7 Multiplication by Signs
  652.    wt: 2:   6 Multiplication by Natural Numbers
  653.    wt: 2:   19 video Prime Factorization Unique
  654.    wt: 2:   18 video Count Factors given Prime Factorization
  655.    wt: 2:   14 video Factors of 24 Take II
  656.    wt: 2:   4 video Prime Factorization Introduction
  657.    wt: 2:   12 Why Long Division Works Take III
  658.    wt: 2:   8 Correcting the Mistake
  659.    wt: 2:   7 Long Divison Mistake Catching
  660.    wt: 2:   5 Long Division Include Zeroes or not
  661.    wt: 2:   3 Division Single Digit Divisor Example
  662.    wt: 2:   2 Division with Single Digit Divisors
  663.    wt: 2:   D Decimal Multiplication Methods Derived
  664.    wt: 2:   C Counting Areas with Powers of Ten
  665.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  666.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  667.    wt: 2:   013 Travel Time Tables
  668.    wt: 2:   8 Addition of Time Intervals via subtotaling
  669.    wt: 2:   4 Mixing and Changing Units of Time
  670.    wt: 2:   1 Intro of Kids To Time Date Skills
  671.    wt: 2:   Example 1 volume of a pyramid
  672.    wt: 2:   Volume of Solid by Cross Sections Lesson
  673.    wt: 2:   Example 1. Area Between x and x squared
  674.    wt: 2:   Example 4 with x function of y
  675.    wt: 2:   Example 3
  676.    wt: 2:   Example 1
  677.    wt: 2:   Summary
  678.    wt: 2:   5 Area Under Curve Exercise
  679.    wt: 2:   4 Second derivative test exercise example
  680.    wt: 2:   3 Second derivative test
  681.    wt: 2:   2 Second derivative test prequel
  682.    wt: 2:   36 Cube root derivative animated
  683.    wt: 2:   34 Derivative of exponential function
  684.    wt: 2:   9 Reciprocal rule
  685.    wt: 2:   8 Differentiation of polynomials
  686.    wt: 2:   7 Animated Differentiation Examples
  687.    wt: 2:   6 Power rule from product rule
  688.    wt: 2:   5 Product Rule
  689.    wt: 2:   4 Sum Rule
  690.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  691.    wt: 2:   F.4 Finite Covering Theorem
  692.    wt: 2:   F.3 Intermediate Value Theorem
  693.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  694.    wt: 2:   PostScript For and Against Decimal Perspectives
  695.    wt: 2:   A1. Introduction
  696.    wt: 2:   Chapter 21 Arrow Addition
  697.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  698.    wt: 2:   Chapter 18. Slopes Areas Integration
  699.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  700.    wt: 2:   Chapter 9 About First Courses in Calculus
  701.    wt: 2:   Chapter 8. Slope Interpretation
  702.    wt: 2:   Foreword
  703.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  704.    wt: 2:   Chapter 31 Direct and Indirect Reason
  705.    wt: 2:   Chapter 21. Third Reading Guide
  706.    wt: 2:   Chapter 16. Painless Theorem Proving
  707.    wt: 2:   Chapter 15. Solving Linear Equations
  708.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  709.    wt: 2:   Chapter 11 Elementary Instruction
  710.    wt: 2:   Chapter 10 Transition
  711.    wt: 2:   Chapter 1 Introduction
  712.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  713.    wt: 2:   Chapter 10 Responsibility
  714.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  715.    wt: 2:   Chapter 1 Introduction
  716.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  717.    wt: 2:   J. More on written work and showing skill
  718.    wt: 2:   G. Written work formats for developing and showing skill
  719.    wt: 2:   C. Domino effect of being careful
  720.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  721.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  722.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  723.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  724.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  725.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  726.    wt: 2:   Systematic Algebra Skill Development Missing Links
  727.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  728.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  729.    wt: 1:   Appendix 2 primary school Arithmetic 01
  730.    wt: 1:   K LAMP Musings Science Education
  731.    wt: 1:   I LAMP Introduction Study Habits
  732.    wt: 1:   F LAMP Introduction Prerequisites
  733.    wt: 1:   E LAMP Introduction Modern Mathematics
  734.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  735.    wt: 1:   A Introduction Objectives
  736.    wt: 1:   Skills Chapter 5 Calculus
  737.    wt: 1:   Skills Chapter 4 Logic
  738.    wt: 1:   Skills Chapter 3 Algebra
  739.    wt: 1:   Skills Chapter 2 Geometry
  740.    wt: 1:   11 pure mathematics
  741.    wt: 1:   9 combinatorics probability sets
  742.    wt: 1:   7 logic review and decimals an odd combination
  743.    wt: 1:   1 arithmetic with unsigned numbers
  744.    wt: 1:   why bother
  745.    wt: 1:   website reviews
  746.    wt: 1:   three goals to set for students
  747.    wt: 1:   Teach the teachers plus goals
  748.    wt: 1:   permissions for teachers
  749.    wt: 1:   Math Ed if it must be short make it lean effective
  750.    wt: 1:   Applied Maths Program14092009 POMME variant
  751.    wt: 1:   site eurekas
  752.    wt: 1:   teacher certification
  753.    wt: 1:   modern education
  754.    wt: 1:   how letters appear
  755.    wt: 1:   Secondary One Mathematics
  756.    wt: 1:   talk the algebra talk
  757.    wt: 1:   three difficulties
  758.    wt: 1:   What to Tell Students
  759.    wt: 1:   mathematics curriculum shifts
  760.    wt: 1:   geometric implications for algebra
  761.    wt: 1:   the trouble with algebra
  762.    wt: 1:   three goals for Mathematics Education
  763.    wt: 1:   Motivation and Context Problem
  764.    wt: 1:   need for a mixed mathematics curriculum
  765.    wt: 1:   Leaner mathematics curriculum
  766.    wt: 1:   education an empirical art
  767.    wt: 1:   chapitre 12 00 les iles et division
  768.    wt: 1:   chapitre 05 00 Deception
  769.    wt: 1:   chapitre 04 09 Regles accidentelles
  770.    wt: 1:   chapitre 04 08 Limitations et benefices
  771.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  772.    wt: 1:   chapitre 04 06 engagements
  773.    wt: 1:   chapitre 04 05 Implication versus suggestion
  774.    wt: 1:   chapitre 04 04 Parlons de la logique
  775.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  776.    wt: 1:   chapitre 04 02 Deuxieme enigme
  777.    wt: 1:   chapitre 04 00 Les regles d implication
  778.    wt: 1:   chapitre 02 00 La Communication des idees
  779.    wt: 1:   problemes algebre et arithmetique
  780.    wt: 1:   deux definitions pour variable
  781.    wt: 1:   1 Energy Power Heat06
  782.    wt: 1:   F Wire Resistance Calculation04
  783.    wt: 1:   E Wire Resistance Calculation03
  784.    wt: 1:   D Wire Resistance Calculation02
  785.    wt: 1:   B Wire Resistance Qualitative02
  786.    wt: 1:   G Series Circuit01
  787.    wt: 1:   F Unlike Resistors in Series
  788.    wt: 1:   B Electromotive force conventional current01
  789.    wt: 1:   A Circuit Elements
  790.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  791.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  792.    wt: 1:   18 Primary School Mathematics
  793.    wt: 1:   17 Math Booklets for children and young teenagers
  794.    wt: 1:   16 Secondary Mathematics Tips
  795.    wt: 1:   14 Multiplication and Times Tables
  796.    wt: 1:   13 Addition and Addition Tables
  797.    wt: 1:   12 Goals and Objectives For Mathematics
  798.    wt: 1:   9 Streaming by Student Cooperation
  799.    wt: 1:   4 Learning Takes Time and Effort
  800.    wt: 1:   3 Preparing for Science Studies
  801.    wt: 1:   Ages 9 to 10
  802.    wt: 1:   sign monoticity analysis example 1
  803.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  804.    wt: 1:   23 Inverse Functions
  805.    wt: 1:   9 Set theory term relation possible origins
  806.    wt: 1:   4 Function notation in and beyond mathematics
  807.    wt: 1:   3 Formula or function graphing exercise
  808.    wt: 1:   Rewriting algebraic substitution as function substitutions
  809.    wt: 1:   A Signed Number Arithmetic Review
  810.    wt: 1:   26 More Less Greater Than Comparison
  811.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  812.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  813.    wt: 1:   23 Distributive Law Two Derivations
  814.    wt: 1:   22 Multiplication of Signed Numbers
  815.    wt: 1:   5 Proportionality in Equivalent Fractions
  816.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  817.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  818.    wt: 1:   5 Triangle Area Formula Backwards
  819.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  820.    wt: 1:   5 Equality in Algebra
  821.    wt: 1:   1 Equivalent Computation Rules
  822.    wt: 1:   4 Comparison of Negative Numbers
  823.    wt: 1:   3 More and Less Than with Unlike Signs
  824.    wt: 1:   2 More and Less Than for Counts and Measures
  825.    wt: 1:   16 Real Numbers Comparison
  826.    wt: 1:   15 Real Number Division
  827.    wt: 1:   14 Real Number Multiplication
  828.    wt: 1:   13 Real Number Subtraction
  829.    wt: 1:   11 Real Number Addition
  830.    wt: 1:   10 Real Number Lengths and Signs
  831.    wt: 1:   6 Unsigned Real Numbers
  832.    wt: 1:   2 Integers
  833.    wt: 1:   1 Whole and Natural Numbers
  834.    wt: 1:   3 Geometric Formulas and Function Notation
  835.    wt: 1:   2 Computation Rules Evaluation
  836.    wt: 1:   11 Volume of Sphere
  837.    wt: 1:   8 Compound Interest Formula Evaluation
  838.    wt: 1:   6 Three Notions of What is a Variable
  839.    wt: 1:   4 A Brief Story of numbers and algebra
  840.    wt: 1:   2 What is a Variable
  841.    wt: 1:   arithmetic videos Real Player Format
  842.    wt: 1:   5 lengths and signs of numbers
  843.    wt: 1:   D Three Term Ratios
  844.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  845.    wt: 1:   B Fractions and Two Term Ratios
  846.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  847.    wt: 1:   22 Complex Compound Fractions
  848.    wt: 1:   21 Reciprocals for Fractions and Wholes
  849.    wt: 1:   18 Efficient Ways to Multiply
  850.    wt: 1:   20 Uniqueness of Prime Factorization
  851.    wt: 1:   9 video Prime Factorization upto 19 squared
  852.    wt: 1:   8 video Prime Factorization upto 19
  853.    wt: 1:   7 Calculator Usage Notes and Cautions
  854.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  855.    wt: 1:   5 Prime Factorization and a Square Rule
  856.    wt: 1:   3 video Primes and Composites from 9 times table
  857.    wt: 1:   2 Prime and Composites less than 16
  858.    wt: 1:   Long Division Backwards more
  859.    wt: 1:   Long Division Backward
  860.    wt: 1:   Division with Counts and Length
  861.    wt: 1:   Long Division forwards and backwards Example 3
  862.    wt: 1:   Long Division forwards and backwards Example 2
  863.    wt: 1:   Long Division forwards and backwards Example 1
  864.    wt: 1:   9 Why Long Division Works Take II
  865.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  866.    wt: 1:   4 Division with 2 Digit Divsors
  867.    wt: 1:   B Powers of Ten
  868.    wt: 1:   A Elementary Basis for Multiplication Methods
  869.    wt: 1:   6 Multiplication Commutes Order Not Important
  870.    wt: 1:   5 Decimal Fraction Multiplication
  871.    wt: 1:   4 Two and Three Digit Multipliers
  872.    wt: 1:   3 More One Digit Multipliers
  873.    wt: 1:   2 One Digit Multipliers
  874.    wt: 1:   Quick history of numbers and algebra
  875.    wt: 1:   Exact Arithmetic Wholes and Fractions
  876.    wt: 1:   Formula Evaluation how to show work
  877.    wt: 1:   Expression Evaluation how to show work
  878.    wt: 1:   The 20 Times Table
  879.    wt: 1:   The 12 Times Table Visually
  880.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  881.    wt: 1:   About folder contents
  882.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  883.    wt: 1:   7 Addition of Time Intervals
  884.    wt: 1:   2 Time and Date Matters in School
  885.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  886.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  887.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  888.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  889.    wt: 1:   F.5a Equicontinuity Theorems
  890.    wt: 1:   F.2 Closed Range Theorem
  891.    wt: 1:   F.1 What Functions are Continuous
  892.    wt: 1:   E1 Error Control Inequalities
  893.    wt: 1:   C Triangle Inequalities
  894.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  895.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  896.    wt: 1:   Chapter 22 Complex Numbers
  897.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  898.    wt: 1:   Chapter 17. Area Approximation
  899.    wt: 1:   Chapter 16. Velocity Approximation
  900.    wt: 1:   Chapter 15. Slope Approximation
  901.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  902.    wt: 1:   Chapter 13. Acceleration
  903.    wt: 1:   Chapter 12. Units and Slopes
  904.    wt: 1:   Chapter 7 Slopes and Velocity
  905.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  906.    wt: 1:   Chapter 5. Slope Sign Tests
  907.    wt: 1:   Chapter 4. More Slope Sign Analysis
  908.    wt: 1:   Chapter 3. Slope Sign Analysis
  909.    wt: 1:   Chapter 2. Slopes and Ski Trails
  910.    wt: 1:   Fall 1983 Calculus Appetizer
  911.    wt: 1:   Appendix D. What to do in School and Why
  912.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  913.    wt: 1:   Chapter 25. Mathematical Induction Examples
  914.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  915.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  916.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  917.    wt: 1:   Chapter 13. Second Reading Guide
  918.    wt: 1:   Chapter 11. Why Shorthand
  919.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  920.    wt: 1:   Solutions For Arithmetic Exercises
  921.    wt: 1:   Chapter 4 Longer Chains of Reason
  922.    wt: 1:   Chapter 3 Chains of Reason
  923.    wt: 1:   Annotated Links to Material Elsehwere
  924.    wt: 1:   Chapter 8 Modern Instruction
  925.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  926.    wt: 1:   Chapter 2 For and Against Mathematics
  927.    wt: 1:   Postscript B More on Story Telling and Reason
  928.    wt: 1:   Postscript A Story Telling
  929.    wt: 1:   Chapter 24 Direct and Indirect Reason
  930.    wt: 1:   Chapter 21 Occurrence Tables
  931.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  932.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  933.    wt: 1:   Chapter 11 Accidental Patterns
  934.    wt: 1:   Chapter 7 Longer Chains of Reason
  935.    wt: 1:   Chapter 6 Chains of Reason
  936.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  937.    wt: 1:   S Adding words to algebra
  938.    wt: 1:   O On Learning Mathematics and Science
  939.    wt: 1:   H Jigsaw puzzles and problem solving
  940.    wt: 1:   B. Domino effect of errors
  941.    wt: 1:   A. Skill has to be seen to believed
  942.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  943.    wt: 1:   Chapter 1 Arithmetic
  944.    wt: 1:   7 Games and Activities for Instruction
  945.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  946.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  947.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  948.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  949.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  950.    wt: 13:   Straight Lines Instersection Solving Equations
  951.    wt: 12:   7 arcsin left inverse of sine Definition
  952.    wt: 12:   Analytic View of Triangle Construction or Line Instersection More
  953.    wt: 12:   Straight Lines ASA Intersection Study More
  954.    wt: 12:   Straight Lines ASA Intersection Study
  955.    wt: 12:   Straight Lines Intersection of
  956.    wt: 11:   8 arcsin left inverse of sine Graph
  957.    wt: 11:   3 Left Inverse of cosine arccos definition
  958.    wt: 11:   Parallel Lines and Alternating Corresponding Angles
  959.    wt: 11:   6 Figuring with Maps Not to Scale
  960.    wt: 11:   4 Angles on Maps Plans drawn to scale
  961.    wt: 11:   3 Lengths and Areas on Maps and Plans
  962.    wt: 10:   10 arctan left inverse of tangent Definition
  963.    wt: 10:   5 Swapping Coordinates is a reflection
  964.    wt: 10:   13 Velocity Vectors in Physics
  965.    wt: 10:   1 Unsigned Coordinates
  966.    wt: 10:   4 graphing y=Asin(x c)
  967.    wt: 10:   2 Graphing y=Af(x) Vertical Scaling
  968.    wt: 10:   1 graphing y=f(x a)
  969.    wt: 10:   Parallel Lines and Interior Angles
  970.    wt: 10:   Construction Methods and Criteria for Isometric and Similar Triangles
  971.    wt: 10:   SAS Method For Isometric Or Proportional Triangle Construction
  972.    wt: 10:   13 Straight Lines Finding Equations from 2 points
  973.    wt: 10:   28 Expressing products of sines cosines as sums
  974.    wt: 10:   10 Graphs of sines and cosines many periods
  975.    wt: 10:   4 sines and cosines for reference angle 45 degrees
  976.    wt: 10:   6 Intersection of lines by solving linear systems
  977.    wt: 10:   8 More Use of Maps Not Drawn to Scale
  978.    wt: 10:   5 Drawing to Scale Avoids Angle Distortions
  979.    wt: 10:   2 Measuring Area Directly
  980.    wt: 10:   1 Length Measurement
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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.