"Interactive Projects for Mathematical Modeling for a General Audience"
Dr. Therese Shelton
Southwestern University, Georgetown, TX
Dear ACS colleagues:
Here is some additional information on the S02 offering
of the modeling course.
Audience, S02 class
Our department has been considering revising
the lower level classes, and it may be that the lower level modeling will become one of math course
taken by pre-service teachers. Currently, however, pre-service teachers
take Math Concepts, a survey course, and Geometry, a theorem-proving course. Math Concepts is
a good course, but the topics change with each instructor, and a modeling course seems much more
in line with the NCTM standards. Other non-majors take statistics, which is taught at a
very elementary level. Perhaps because of the competition with these courses, and perhaps because
non-majors tend not to know what modeling is, only three students enrolled in the
modeling course in S02. For those three, the course was a tremendous success.
The students varied in background. Two had excellent math abilities, one was fairly anxious
and had a mixed background. The latter said he received an A in high school calculus because he was
an athlete and the teacher, a coach, always gave an A to an athlete. Either the student misjudged
his own abilities (although his calculus background and use of logs and exponentials was very poor)
or this sad story is true.
He also said that he really liked the modeling course and had learned a lot.
The text was
good for these students but not for such a low level course in general. With just three students,
I had the tremendous advantage of pacing the course to suit them. I also got immediate feedback
for any materials I had created.
In any such course of reasonable size, the instructor can host excellent discussions about
problem solving techniques. It was great to set the students going on a problem, either in small
groups or individually, and then compare approaches. See, for example, the different approaches used
on several of the files available to you.
I look forward to exchanging information with you on this course.
Student comments about the use of technology
On the final survey, I asked: "Did the technology help you learn/work with the class material?
Please explain." Here are the responses.
"I enjoyed working with excel and becoming more proficient in a program that
just about all businesses use"
"Yes, the technology was great, without it I wouldn't have had a chance."
"definitely, it made up for some of the background information I had forgotten
that was necessary for solving problems"
Technology Logistics
We met in a computer lab, so the students were on the computers every class day.
Each student uploaded files daily and set permissions for file sharing, which I encouraged.
The exams were also
taken in the lab, using any files and technology available. Students uploaded their
solutions for me to grade. This became a bit of a problem on the
final. Graduating seniors took their exams early, and I had them remove
their files right after I got them, before the other student took his final.