OMG it’s so simple! Roll up a piece of paper with your cheat notes on it and STICK IT INSIDE A PEN! Then TRY TO READ THE TINY HANDWRITING THROUGH THE CLEAR PLASTIC during the test!
I’m sure it’s OK to immortalize dishonesty on YouTube… Because, like, NOBODY important ever checks YouTube — like teachers, employers, or The Chicago Sun-Times.
Do students really think that this works? Having a little rolled-up piece of paper with microscopic notes on so densely packed together that they threaten to collapse into a black hole, not to mention being sheathed in plastic which blurs the resolution of the notes? How could someone even find those notes legible, let alone useful?
If this young lady wants to come to my college and take a class with me and take one of my tests, I’ll look the other way if she wants to use this little pen trick, because if you haven’t learned the…
In my upper-level courses — especially the two senior-level math majors courses I teach, Modern Algebra and Topics in Geometry — traditionally I’ve seen timed tests and so forth as being ineffective in assessing the kinds of advanced problem-solving that students in those classes have to do. Mainly the problems are ones in which they have to prove a theorem. It’s hard to do that under a time pressure because it’s a creative endeavor.
So typically I’ve given such problems out as homework, with the instructions that students may work together on understanding the problem and drafting up a sketch of the solution (Polya’s stages 1 and 2) but the main solution itself, as well as any reality-checking, has to be done individually.
Another thing about group work and assessment. In some courses, particularly upper-division courses with small enrollments, the same kind of individual accountability I’m looking for can be found through oral presentations, not just timed assessments.
I found this out in the textbook-free quasi-Moore Method abstract algebra course I did this past semester. Students were free to work with each other and consult outside sources on any course task they wished to, but at the end of the day their grade depended on their ability to get up in front of the class (and me) and present their work — answering questions on the particulars, being able to explain the overall strategy of a proof, and defending their work against potential holes. Students who could do this on a regular basis scored highly. Students who couldn’t scored poorly. It worked out.
One of the things I have learned this semester (which is now officially over, having turned in my last batch of grades this morning) is the following lesson which I am convinced I must implement immediately: Group work has been playing far too great of a role in my student’s grades. From this point forward, assignments which could conceivably be done in groups — not just those that are designated for group work — will count for no more than 10-15% of the grade in my courses.
I like collaborative learning. I think, in fact, that working with other people on math can be not only a highly effective way of doing so but also carries with it a powerful pro-math socialization effect. The best personal friendships that I had during my college + grad school years were those that I formed with my classmates in my various math classes, as we struggled through material that, to us at the time,…
I am a mathematician and educator with interests in cryptology, computer science, and STEM education. I am affiliated with the Mathematics Department at Grand Valley State University in Allendale, Michigan. The views here are my own and are not necessarily shared by GVSU.
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