Information:
Fred Schaal (Lane
Tech)
Conserving the Heat of my toes
Fred
recently broke his leg and has had a cast. How should Fred
keep his toes warm with just the little "boot" that is provided to put
over his stockinged foot?. He put a stocking cap over his toes, with a
plastic bag over the cap, the entire "apparatus" being held in place
with a bungee cord.
Very enterprising, Fred!
Nneka Anigbogu (Jones College
Prep)
Random rectangles
Nneka handed out a sheet with 100 rectangles of various dimensions
displayed.
Each rectangle was composed one or more identical squares. Our
activity
was to obtain an estimate of the average number of squares. This
is an activity to illustrate use of statistics. Nneka
asked us to briefly look at the 100 rectangles and to shout out
estimates of the average area of all 100 in "standard units" (easy
because each had an area that was an integral number of the standard
squares mentioned above. Estimated averages were 8, 9, 11, 17, 50. Then
Nneka had us choose any 5 rectangles in a "continuous run"
(e.g., rectangles 5-9) and estimate the average of those 5. We got
averages of 1-12.8, for 10 samples of 5 rectangles, with an overall
average of 8.82. This completed the "subjective estimate" of the mean.
Nneke also handed out a table of 450 five digit random numbers. We used the table to pick 5 numbers and use any consecutive two digits from that five digit number, match these with the numbers of the corresponding rectangles, and get another group of 5-rectangle averages. Ten averages ranged from 4.0- 8.6, with an overall average of 5.81, the "random estimate" of the mean.
It turns out that the actual average of the 100 rectangles is 7.42. Surprisingly, the subjective estimate was a bit closer to the actual than the random estimate. Nneka noted that in her class the random method gave a number almost identical to the actual average. How come ours was so far off? Great stuff! Thanks, Nneka.
Charlotte Wood-Harrington (Gwendolyn Brooks
HS)
National Boards
Charlotte
recently became a certified as a physics teacher by the National
Board of
Professional Teaching Standards: http://www.nbpts.org. It was a long,
hard process, but she
felt it was worthwhile. The current out-of-pocket cost of the program
is $300. Charlotte gets a
stipend from the State of Illinois for $2500-3000 per year for ten
years. Charlotte
used the Chicago Teachers Union as
a sponsor to the process. It has a very high rate of passing, but it
requires a 25 page application (there is also an entrance through the
PHD (Professional Honor of Distinction) program.
Charlotte said that the writing requirement for the board exam
involved a new skill that had to be learned. There are 6 subject matter
tests (30 minutes each) as well as submission of videos made in the
classroom. It took 2 years to complete, and seemed to Charlotte
to be a little harder than getting a masters degree. Regarding the
material level in the process, it is probably most likely that one
would have to be a high school teacher to be successful in the
process. Thanks for the encouragement and the information,
Charlotte!
Arlyn Van Ek (Illiana Christian
HS)
Odds and ends
Arlyn attended a recent meeting of the National
Science Teachers Association
[NSTA] in Chicago, which was great! He brought back
these neat odds and ends to share:
Bud Schultz (Aurora Middle School
Academy)
Easy primitive toy
Bud
showed us a "bull roarer" which is an Australian aboriginal
toy. It operates to produce a roaring sound when it rotates in two
planes. The bull roarer is a piece of wood carved to be about
the size and shape of a spear head and suspended from a string of about
2 meters in length. Different shapes can be made; Bud's were
carved out of Padauk -- a reddish wood
from Africa: http://www.exotic-wood.com/african_padauk.htm.
First Bud spun the bull roarer, --- then he held the
string at the other
end, and twirled the bull roarer in a vertical circle.
The sound was not produced until the rotation became quite rapid -- it
requires both rapid
rotation and simultaneous spinning in a second plane. For
additional
information see the Virginia Tech Multimedia Music Dictionary:
http://www.music.vt.edu/musicdictionary/textb/Bull-roarer.html.
Wow-wow-wow!
Thanks, Bud.
Larry Alofs showed us the inside of a combination lock apparatus, which might once have been a locking door for a post office box. There are three round tumbler plates inside the lock, each having a notch. Each number of the combination rotates one of the plates so that the notch is aligned in a certain direction. The right sequence of numbers serves to align the three notches on the three plates, which allows the lock to be opened. Neat! Thanks, Larry.
Porter Johnson then told us the story of how Richard Feynman, who, during his time at Los Alamos working on development of the atomic bomb during WWII, devised a way to open combination locks. He first made these observations:
The following people could not present lessons today, because we ran out of time. They will be scheduled for our last SMILE meeting of the semester, Tuesday December 13. See you there!
Notes prepared by Ben Stark and Porter Johnson.