This morning we were invited to a presentation about how one group of researchers successfully altered silkworms to produce spider silk. The presentation was very detailed, and largely concerned molecular biology, so it was a bit difficult for me to keep up! However, I was very interested in the processes used by the scientists that are really mathematical in nature. These will help me focus on important concepts in my high school math classes and to give my students relevant applications.
The mathematical ideas that I saw in the presentation included the following:
- permutations and combinations in relation to genetic encoding of DNA
- multiple iterations of the same process over and over again in order to ensure the desired sequence of genes is pass on
- sequences and series concepts as the relate to genetics
- recognition of palindromic sequences in order to "cut and paste" the proper bit of the DNA code
- the doubling strategy used to multiply the amount of base pairs
- the meaning of a "vector" in physics vs. mathematics vs. biological systems
This afternoon was spent debriefing the MSTF program, where fellows shared ideas about the good and bad portions of the program. Most of us agreed that the program went well and was very educational, but there were suggestions made about how to refine things in the future. Some of the ideas are listed below:
- Since many of the graduate students assisting us in the lab tended to arrive at 10 am or later, it might be better to have the teaching fellows class sessions in the morning so we can attend the labs in the afternoon.
- The afternoon teaching sessions this year were very good, with many positive comments about the increased involvement of the teaching mentors.
- The only thing not fully developed in the afternoon sessions was the nature of science, which was disappointing to some.
- New teachers could have been surveyed on what technology they would like to focus upon in the afternoon sessions--for example, Gladys mentioned she would have liked to see a software program called MegaStat, which is supposed to be especially useful for national board certification.
- There was a discussion about spending less time in class and more time in the research lab, but no consensus was reached.
- There was some discussion about striking a balance between research and lesson development. We all liked having time on Friday afternoons to share lesson ideas.
- It may have been helpful to have teachers come before the first day to get an overview of the research being done in their assigned lab, or at least to get some research articles to study to get us up to speed before reporting the first day.
- Some teachers would have liked to choose the lab in which they were involved, while other teachers appreciated that it was chosen for them, thereby broadening their horizons.
- Fellows who had a specific project to work on in their lab felt they got a lot more from the experience than those who didn't. In the future it might be helpful to have the Principal Investigator in each lab assign a specific project (or survey the lab graduate students about a possible project for teaching fellows--as did Dr. Nemanich for Amber and I).
- A few teachers noticed a big disconnect between what actually goes on in our high school classrooms and what the graduate students and professors think goes on. University people seem as naive about the nature of the HS science room as our students are about the nature of scientific research. We did not believe it was necessarily our function here to disabuse them of their naivete.


