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1.
Feynman on thinking (www.youtube.com)Excellent explanation about how we think about things differently: when you count in your head, do you say it to yourself, or see numbers go by?
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2.Second law of thermodynamics (www.secondlaw.com)
The Encyclopedia Britannica gave this site an Internet Guide Award and allows a direct search link here to its Concise Encyclopedia Articles.
This site shows that some ancient questions about "things going wrong" in our lives
have surprisingly simple answers in modern basic chemistry
(even things happening to us which cause that painful cry of "Why me?")
Still more important to one's philosophy about life, these chemical ideas can startle
us into seeing how fortunate we all are: that things don't go wrong more often! -
3.Calculus Made Easy (www.scribd.com)
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4.JSTOR All-Stars: Mathematics Magazine (www.maa.org)
The JSTOR database is an archive of important scholarly journals, offering researchers high-resolution, scanned images of journal issues and pages. It now includes 4,780 articles from Mathematics Magazine, from 1947 to 2005.
The most frequently accessed (total viewings plus total printings) Mathematics Magazine articles to date are:
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5.
"This is the Conceptual Explanations part of Kenny Felder's course in Advanced Algebra II. It is intended for students to read on their own to refresh or clarify what they learned in class. This text is designed for use with the "Advanced Algebra II: Homework and Activities" and the "Advanced Algebra II: Teacher's Guide" collections (coming soon) to make up the entire course."
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6.
Double slit experiment (www.youtube.com)Really clever animated explanation of the quantum double-slit experiment.
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7.
Get to like maths and numbers. to to appreciate to power of thinking. to understand why needed not to have suffered in the hands of maths teachers. here is your solution
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8.Prime Number Hide-and-Seek: How the RSA Cipher Works (www.muppetlabs.com)
A pretty intuitive introduction to the math behind cryptography and how RSA works.
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9.
Lagrange Multipliers are necessary to find the maximum values of a function subject to several constraints. This has many applications to all sorts of problems of mathematical optimization.
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10.Fourier Analysis Made Easy [PDF] (www.complextoreal.com)
A very intuitive introduction to the fourier series. It is explained bottom up, by first introducing the sum of sine waves and progresses to how any periodic function can be created with a sum of sine and cosine waves.
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11.
Neil deGrasse Tyson -- On Astronomy (www.youtube.com)Great example of passion for a subject. This makes learning enjoyable for teacher & student :).
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12.Al's Relativistic Adventures (www.onestick.com)
This flash site uses a simple story about a boy and his mother to clearly teach the principles of Einstein's Relativity Theory.
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13.The Socratic Method: Teaching by Asking Instead of by Telling (www.garlikov.com)
Transcript of a third-grade lesson on binary numbers, using only questions and answers.
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14.Clear Explanation of "Short Squeeze" (radian.org)
Great example of explaining a complex finance topic -- tells a story of short sales involving Porsche and VW.
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15.Making sense of the standard deviation (amarsagoo.blogspot.com)
Intuitive explanation of why RMS (root mean square) is used. Nice read.
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16.How to Ace Calculus: The Art of Doing Well in Technical Courses (calnewport.com)
Interesting article on how to develop insights and "aha" moments in technical courses.
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17.
The Exponential Function (www.youtube.com) -
18.Painting the mona lisa with genetic algorithm (rogeralsing.com)
Great example of "show, not tell" -- use a genetic algorithm with random mutations to recreate the Mona Lisa, using only 50 overlapping triangles.
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19.The MegaPenny Project (www.kokogiak.com)
A good complement to Kalid's "How to develop a sense of scale" article.
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20.Nice description of the halting problem (www.cgl.uwaterloo.ca)
Much easier to understand than the formal explanation in Wikipedia.
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21.How much information is in a raindrop? (math.ucr.edu)
Interesting analysis of the amount of information stored in a single raindrop (when viewed at a molecular level). Another way to get a sense of scale -- notice how he relates units to things we can wrap our minds around (all email sent in a 2002).
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22.
Abbot & Costello skit on math (www.youtube.com)How many times have you been given an explanation like this? :)
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23.Dimensions – A walk thru mathematics (www.dimensions-math.org)
A film for a wide audience! (I've shown parts to second graders, but it's not child's play, some of it can get complex, literally, from the complex numbers chapters and beyond.)
Nine chapters, two hours of math, that take you gradually up to the fourth dimension. You can download two quality versions or watch it online. -
24.The Mechanical Universe ... and Beyond (www.learner.org)
52 half-hour videos. Watch for free online (with free registration). These were produced by Caltech with Tom M Apostol, David Goodstein, James F. Blinn, and Richard Olenick. The books that support this series are also reissued with the same title.
I like to think of this video series as the Better Explained version on video about physics and calculus.
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25.Möbius Transformations Revealed (www.ima.umn.edu)
A short video by Douglas Arnold and Jonathan Rogness that depicts the beauty of Möbius transformations and shows how moving to a higher dimension reveals their essential unity.
The reason I used this link, instead of YouTube, is that from here you can download very high quality versions that I can recommend.
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