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26.Nice description of the halting problem (www.cgl.uwaterloo.ca)
Much easier to understand than the formal explanation in Wikipedia.
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27.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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28.
Abbot & Costello skit on math (www.youtube.com)How many times have you been given an explanation like this? :)
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29.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. -
30.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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31.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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32.
Emergence - Complexity from Simplicity, Order from Chaos (www.youtube.com)Emergent complexity can arise from simple interactions between agents following rules. The complexity that arises is suprising and challenges our assumptions about whether order comes from the top or the bottom. Life and consciousness are examples of emergent phenomena.
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33.
TED is so full of "better explained" topics and a-ha moments, but I have a particular fondness for Hans Rosling's visual explanation of world statistics. He has other talks on the TED web site, for anyone interested.
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34.Chemical party: Basic chemistry explained in a social setting (ovablastic.blogspot.com)
I think explaining things with humor really gets attention and helps people retain information.
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35.Feynman on light (5:00 video) (www.youtube.com)
Just a *wonderful* description of light and what's happening when we look around a room. He's one of my explanation heroes -- the ability to speak simply about topics which are considered complicated.
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36.Calculus in 20 minutes (www.youtube.com)
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37.Yes, You have to keep rubbing your eyes in disbelief... (www.everythingforever.com)
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38.NOVA: String Theory (www.pbs.org)
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39.Exclusive color footage of Einestein (corporate.gettyimages.com)
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40.How to explain stuff (www.senthilgandhi.com)
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41.
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42.How to write a spelling corrector (norvig.com)
Great discussion about how to solve a problem in an elegant way. Has source code so you can try it out yourself, and shows the steps involved in understanding the solution (not "Here's the final answer, chumps"). Again, being able to recognize that others are starting from zero really helps get the right explanation mindset across.
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43.The Particle Adventure (particleadventure.org)
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44.Track ISS. Shuttle. COBE. CHANDRA (science.nasa.gov)
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45.The Physics Question of the Week (www.physics.umd.edu)
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46.Creationist Deception Exposed (www.skeptics.com.au)
The etymology of the word "propaganda" is interesting. Now generally used to mean "the organised dissemination of information, allegations, etc to assist or damage the cause of a government, movement, etc" (Collins English Dictionary),
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47.You don't need something more to get something more... (www.youtube.com)
Murray Gell-Mann On Emergence
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48.Growing up in the Universe (www.youtube.com)
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49.Learning Advanced JavaScript (ejohn.org)
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50.Simon Funk's SVD for collaborative filtering (sifter.org)
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