This is just part of an extremely
wide-ranging discussion, covering maths at Cambridge University,
mathematical reading, AI, PhDs, the ethics of war, jokes, teaching
and Ramanujan.
The original thread can be found here in its entirety, should you wish to
read all 34 pages!
Hi Marcus,
Do you enjoy teaching?
Regards
HAL2001
I love teaching. Although we all have our bad days, I don't think you'll find many teachers who don't, on the whole, like teaching. If they didn't like it, they'd leave and do something they also didn't like but which paid a third more, which is most other jobs with the possible exception of nursing.
From your teaching experience, do you find it more interesting
to teach the more able students, or the less able student? The
interverted student or extroverted student? What about when pupils
don't do as you say, like do their homework? Do you forgive them or
get angry? Just interested.
Regards
HAL2K+1
I'm also interested to know how different teachers handle
difficult situations - if pupils won't do as they say, don't do
homework, talk constantly etc.? I suppose the problem varies from
school to school, and at different levels of education. I'm not
sure if I could handle it if I went into teaching.
Olof.
Hal, to answer your teaching questions, I find it most
interesting mathematically to teach more able students, since they
not infrequently solve a problem in an elegant way which had not
occurred to me. However, I find it most gratifying to teach
students of any ability when they make progress, and have what
Martin Gardner calls that "aha!" moment - that's what teaching is
about, whether it's a student who is a better mathematician than I
am coming to grips with a complex theorem or a kid with special
needs seeing how to work out the mean of a set of numbers.
There are always systems in an institution to maintain discipline
and work quality by students, and I tend to stick to those. I don't
get angry at students for not doing homework, merely disappointed -
they are only harming their own progress. I never let people off
when they don't do homework, that would encourage people to not do
homework!
Marcus, if you spot unusually high potenial in a student what
would you do? a) continue as normal, b) tell the student and set
harder work, c) something I haven't put as an option?
I would be interested to know how you would nurture potential in a
student so that it does not go to waste.
Regards
HAL2001
Hal, when it comes to very able students, it all depends on the student. In the final analysis, you try what you can to encourage the student to reach his or her potential. In some cases, the student is eager and you need do little more than guide him or her through self motivated study. In other (very disappointing) cases, no amount of persuasion will make the student do more than is needed - the perpetual question is "Do I need to know this to pass my A Level?". The main thing in all cases is to show the student his or her potential and find some material which he or she will enjoy looking into - why have a brilliant student be put off by (say) fluid mechanics when he or she could have been inspired by infinite set theory? (Or the other way round for a different student!)
Marcus, thanks for your view. It's very interesting, the way you
put it.
Hal