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Course Queries Syllabus Queries 2 years ago
Posted on 16 Aug 2022, this text provides information on Syllabus Queries related to Course Queries. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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I teach undergraduate and graduate level courses in mechanical engineering at a research oriented university in the United States. I am a teaching track professor and my sole responsibility, on which I am judged for pay raises or promotions, is teaching efficacy.
The courses I teach have a strong mathematical component to them. Some notable examples would be: computational fluid dynamics or finite element methods. For those here familiar with these courses, you would know that calculus background is necessary to understand the nuances.
However, I find that the students I teach this to (mostly 4th year undergraduate students) balk at the prospect of doing some analytical "pen-on-paper" work and would like only to know how to use relevant software skills for these, with no mathematical background.
This leads me to receiving unsatisfactory end of semester evaluations (3.90/5.00) from students with a lot of them complaining that "the course is too math-y"(verbatim). The department requires teaching professors to consistently receive a 4+/5.00 for courses they teach and base promotions, continuing contracts and raises on this.
Unfortunately, I refuse to pander and just teach students "software-button-clicking" alone. Software skills can be learnt from Youtube and they don't really need me to teach them that. I continuously tell them that mathematical/fundamental analytical skills are far more important because the software landscape is quite fickle and ever-changing based on industry whims and fancies. However, fundamental mathematical skills are resolute and robust and may be applied to most engineering problems.
Has this been encountered by other folks on this SE and is there some effective method you have devised to counter this? My university is significantly "engine research" driven and students end up getting jobs at the "big 4" automotive companies. Perhaps I need to ply my trade at a different department like "applied mathematics"?
On my part, I juxtapose software results with analytical results continuously to explain how analytical results are necessary for validating software results. However, students are under the impression that the "software is always right" irrespective of whether or not their problem set-up and boundary conditions are correct or not.
The professor that taught me statistics dealt with this basic problem, which is that students would come into the course thinking it was like any other "narrative" style of course (like a history class), but the truth is it was a math class that was not listed as MATH 3XX.
Part of the job of a student is to pick courses, ordering them and balancing them into a semester that allows them to handle all of their classes. If they do not have the information they need to balance their schedule (as some classes are naturally heavy loads and others are light), they cannot do their job. So here's how I learned to help them do their job so that they would feel that you were doing your job.
On week 1 or 2, assign a special test. Include absolutely the most challenging math you expect them to do for the entire semester (not hard for the sake of being hard). Make it absolutely clear that this course does in fact require previous knowledge and ability, and that this test is designed to do just that - test their readiness for this class. You can make it an in-lab assignment and just give credit for doing it - you can give them the answer key and let them grade themselves.
Clearly explain to students that if they cannot complete this test satisfactorily, that is information for them to decide if they are ready for this class. When I ran this lab session I personally explained to students that if they weren't willing to spend at least X hours per assignment per week, they would be unlikely to do well and should reconsider their plans now while they can still re-arrange their schedule. I had a few students drop by the next week, but then everyone who stayed stuck with it all semester.
One of the great dangers of being an expert and a teacher is that you become very distant from that point in time when the material was truly difficult for you, and you lose some of your understanding of what it was like to not know. You are also likely to have an IQ far beyond the average, as well, so you might not ever have experienced this material as difficult - which makes it even harder to avoid this mistake.
I personally remind myself of the time where I had scrawled out about 8 pages of hand-written calculations and equations to solve a factorial analysis of variance by hand, because my professor said it was important. If someone at that moment had looked at what I was doing and even vaguely implied "oh, that's mostly just basic algebra, that's not so hard" I would have stabbed them in the neck with my pencil right then and there. (The pencil was dull and my wrist was tired, so they would have probably escaped serious injury. But still!) Maybe it wouldn't have been hard for them, but it was a challenge to me.
With your advanced understanding of mathematics, you might unintentionally be sending your students a message along the lines of, "oh, this math is pretty basic first year stuff, you shouldn't have any trouble with it". Math is often hard and time consuming and mind-bending and forgotten quickly, even if it is important, and to imply otherwise is insult your students intelligence and character. This will likely result in them not liking you, and worse - they may not learn as much from you as they could have.
Be honest, but take care to honor their struggle with fundamentally non-trivial material. Students appreciate "I know this may seem hard, but you can work through it" more than "this is easy, work harder".
Yes, math is important and sometimes being able to do it by hand is even important. But I've had teachers include complex material based on the idea that it would be on X industry test that was 3+ years away and that I would not ever be taking, and could otherwise be looked up in < 10 seconds if I really needed it. Sure, now if I get stranded on a desert island I'll be able to calculate proper binary subnet masks so I can build a complex routed network for all my coconuts, but otherwise I'm still a little annoyed I spent hours on that mess when I could have spent it on my research projects.
Motivating the material with a calculation the computer can't solve but they can do it by hand, if such an example exists, can help. It may also be helpful to really drive home the point that if you don't understand the underlying math you'll click stuff that is laughable and makes no damn sense, but the software didn't know any better so it did what you asked anyway.
Still, make sure you really aren't including tough material (according to the students) just because you really think its cool and is technically somehow applicable, but not really necessary or very valuable to the student. Those topics might be a perfect fit in another course - just not this one.
I think you'll find that if students are made to understand what will be expected and necessary upfront, you empathize and honor the challenges your students deal with, and you pair down the material to what truly best serves students, you'll find that not only will students like you more and rate you more highly - but they'll also learn more and the class will be more fun to teach, too.
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