Comments on: Goodie for April 2009
http://www.mathcasts.org/janita/?p=186
Second Life & Real Life MathematicsThu, 01 Apr 2010 00:12:02 +0000hourly1http://wordpress.org/?v=3.2.1By: The Math Maker
http://www.mathcasts.org/janita/?p=186&cpage=1#comment-56
The Math MakerWed, 29 Apr 2009 22:31:56 +0000http://www.mathcasts.org/janita/?p=186#comment-56When I read this, you reminded me of a little problem I used to use with Physics students; indirectly related, the harmonic mean (although you can have a weighted harmonic mean). The simplest version; a person travels from A to B at 20 mi/h and immediately returns at 30 mi/h; what is the average speed for the total journey assuming that the time to turn around is negligible? You guessed it, just about every time I got the answer 25 mi/h! Thanks for the great posts.When I read this, you reminded me of a little problem I used to use with Physics students; indirectly related, the harmonic mean (although you can have a weighted harmonic mean). The simplest version; a person travels from A to B at 20 mi/h and immediately returns at 30 mi/h; what is the average speed for the total journey assuming that the time to turn around is negligible? You guessed it, just about every time I got the answer 25 mi/h! Thanks for the great posts.
]]>By: Dani
http://www.mathcasts.org/janita/?p=186&cpage=1#comment-55
DaniMon, 27 Apr 2009 11:58:05 +0000http://www.mathcasts.org/janita/?p=186#comment-55This is very interesting. Would it be possible to build a simulation for this problem? the x% will be the variable. while the students could also change the other "variable" as sliders and I have a feeling it could be also represented graphically. What is so nice about GeoGebra that it provides such a strong visual connection between pictures, numbers, graphs, spreadsheets... Also the best thing is to teach students to DO the simulations because then THEY are doing the Math themselves.This is very interesting. Would it be possible to build a simulation for this problem? the x% will be the variable. while the students could also change the other “variable” as sliders and I have a feeling it could be also represented graphically. What is so nice about GeoGebra that it provides such a strong visual connection between pictures, numbers, graphs, spreadsheets… Also the best thing is to teach students to DO the simulations because then THEY are doing the Math themselves.
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