Discrete math demonstration ideas...
David Gries
dgries at twcny.rr.com
Mon Jan 30 20:05:03 EST 2006
Bring a beehive to class. The numbers of male and female ancestors of
a bee at each level forms a fibonacci sequence.
See page 224 of Gries/Schneider "A Logical Approach to Discrete
Math". Also bear that, learn how the golden
ratio is used in architecture and how it arises in the human body.
David Gries
On 30 Jan 2006, at 19:46, Aaron Bloomfield wrote:
Hi, all,
I'm trying to form a collection of demonstrations for discrete
math topics, and thought I'd solicit suggestions from this list.
I'm looking for ways to demonstrate concepts to students in a
discrete math course (and CS1 / CS2 courses as well) using physical
objects. For example, using a phone book to illustrate a binary
search (I rip it up in the process), or using a conch shell for
illustrating the growth of the Fibonacci sequence. I envision these
as different from KLAs (http://sequoia.cs.berkeley.edu/kla/
index.php), which generally require class participation. And I see
them as different than the nifty examples as well (as those tend to
be interesting problems that require solving). My thought is to use
all three of these (nifty examples, KLAs, and the demonstrations)
together to help form a more compelling lecture. Essentially, I'm
looking for ways to demonstrate a concept to a class using physical,
real-world objects, but without having to directly involve them in
the demo. And something that, with a bit of showmanship, can really
"wake up" the class -- such as blowing a conch shell or dramatically
tearing a phone book to shreds.
Any thoughts or suggestions? Do such lists exist anywhere? I
couldn't seem to find any. Of course, I'll make the ensuing list
publicly available.
Thanks!
-Aaron
--
Aaron Bloomfield, Assistant Professor
Department of Computer Science, University of Virginia
asb (at) cs (dot) virginia (dot) edu
http://www.cs.virginia.edu/~asb
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