I am teaching a first-linear-algebra course for mostly undergraduate Computer Science and Data Science students. Occasionally, I tried to do a bit computer experiments in class and ask students to guess what a theorem should be. But I noticed that students do not seem to be very engaged in the experiments. I guess the problems may be
- I am the one doing the experiment. So they cannot do much but just look.
- The experiments I am doing are numeric. So they do not look very interesting visually.
I wonder if anyone of you have tried similar things, and if you have learned how to make such experiments work better.
One example of such experiments would be that I compute eigenvalues of a random diagonal matrix with computer, and asks students to guess the answer from observing such computations.