Skip to main content
21 votes
Accepted

What can I do when advanced undergraduate and/or early graduate STEM students cannot perform correct math manipulations?

I am really at a loss as to why this is happening and what should be the correct remedy, as it seems that it is not easy to address this late into their study. Also there seems to be no improvement ...
Justin Skycak's user avatar
14 votes

What can I do when advanced undergraduate and/or early graduate STEM students cannot perform correct math manipulations?

I'd like to offer a bit of a frame challenge here. Whenever I made these sorts of mistakes during my mathematics education it was normally because I didn't understand what the symbols in the more ...
andypea's user avatar
  • 257
11 votes

What can I do when advanced undergraduate and/or early graduate STEM students cannot perform correct math manipulations?

I deal with a dash of this phenomenon in the context of teaching an "advanced programing techniques" course (i.e., 2nd semester programming) in a community-college CS program. There's ...
Daniel R. Collins's user avatar
10 votes
Accepted

Resources for designing math degree programs

For undergrad, the MAA put out "Guidelines for Programs and Departments in Undergraduate Mathematical Sciences" about 20 years ago. We used this when preparing for program review about a ...
Aeryk's user avatar
  • 8,021
9 votes

Where can I find new types of problems regarding graduate level mathematics?

Nowadays, you will be able to find many research mathematicians' websites with lecture notes for advanced courses, many with exercises/examples, many with solutions/discussions. I myself certainly put ...
paul garrett's user avatar
  • 14.6k
9 votes
Accepted

Where can I find new types of problems regarding graduate level mathematics?

As per my information , standard books from renowned authors and publications are the only sources of problems but still I want to know some sources where I can get difficult problems which can be ...
Justin Skycak's user avatar
8 votes

Are the standard of questions provided in reputed institutions like MIT, Stanford, Oxford, etc., as good as the problems of IMO?

Will the institution give problems related to the theory but the difficulty standard of the problems equivalent to that of an imo or Putnam problem? Probably not. The whole point of a class (or ...
Justin Skycak's user avatar
6 votes

Book recommendations for Math for Biochemistry Course

[Edit: if there is some moderator-approved way to cross post this to Biology Stack Exchange and/or Chemistry Stack Exchange, you might get some good additional feedback.] It is a great question. I ...
guest troll's user avatar
6 votes

What can I do when advanced undergraduate and/or early graduate STEM students cannot perform correct math manipulations?

In my experience mathematical tools are pretty much like learning a language. You won't get fluent if you don't practice a LOT. In high school this is enforced with constant homework, tests, solving ...
ExecutionSommaire's user avatar
6 votes

What can I do when advanced undergraduate and/or early graduate STEM students cannot perform correct math manipulations?

In his 2005 article "Reconceptualizing Procedural Knowledge," Jon Star argued that there is such a thing as "deep procedural knowledge," which he describes as follows. Deep ...
Justin Hancock's user avatar
6 votes
Accepted

Mental Health in Mathematics

At my university, students with learning challenges receive extra time during exams. Based on this, I can tell you that there are quite a number of them in the math courses that I have taught. Some ...
Mikhail Katz's user avatar
  • 2,240
4 votes

What can I do when advanced undergraduate and/or early graduate STEM students cannot perform correct math manipulations?

Here's a breakdown of the problems: Some common problems: No respect to dimensionality. Suppose $Av$ is a column vector, students will equate it to a row vector, a matrix, or even a scalar. This is ...
CrSb0001's user avatar
  • 295
4 votes

What can I do when advanced undergraduate and/or early graduate STEM students cannot perform correct math manipulations?

The problem is with the prerequisite courses, so if you want to fix it, start by talking to the people who teach the prerequisite courses. If you're not comfortable with that, raise the issue with a ...
usul's user avatar
  • 179
4 votes
Accepted

Strategies for Designing Challenging Yet Feasible Quiz Problems for Upper-Level Math Courses

I get a lot of clarity for designing assessments by writing out a list of learning objectives for the course. To get started, I write out three lists: Things I want my students to have seen (only ...
TomKern's user avatar
  • 4,425
4 votes

What can I do when advanced undergraduate and/or early graduate STEM students cannot perform correct math manipulations?

A lot of students can graduate STEM having taken only a single Linear Algebra course. Yes there’s some LA in differential equations or abstract algebra (less sure about the engineering side), but ...
J Kusin's user avatar
  • 148
3 votes

What can I do when advanced undergraduate and/or early graduate STEM students cannot perform correct math manipulations?

Having taken courses that require linear algebra ~10 times, I can tell you that even performant students need a refresher on linear algebra when they are coming into a class that requires linear ...
JoseOrtiz3's user avatar
3 votes

Summer or Semester Programs which bridge to Graduate Mathematics

I see how it looks like they stopped in 2018, but you might at least contact PSU Math. Call the department secretary and ask for a point of contact. Perhaps they are still running it, after all there'...
NSA techs shower too much's user avatar
3 votes

What can I do when advanced undergraduate and/or early graduate STEM students cannot perform correct math manipulations?

It seems to me that your students have not performed too much matrix multiplication by hand (using pen and paper). Perhaps it is time for some computer assisted algebraic operations. Also, the fact ...
the common starling's user avatar
2 votes

Book recommendations for Math for Biochemistry Course

"Mathematical Methods in the Physical Sciences" by Mary L. Boas "Biocalculus: Calculus, Probability, and Statistics for the Life Sciences" by James Stewart and Troy Day "...
David Hoot's user avatar
2 votes

What can I do when advanced undergraduate and/or early graduate STEM students cannot perform correct math manipulations?

Your first three examples are linear algebra. Example 4 might or might not be, hard to say...since it is not an example but a vast generalization. Probably one issue is that most ee students don't ...
Guest troll's user avatar
1 vote

What can I do when advanced undergraduate and/or early graduate STEM students cannot perform correct math manipulations?

There are many good suggestions made concerning this topic .. What can I do when advanced undergraduate and/or early graduate STEM students cannot perform correct math manipulations? .. Some common ...
E Net Arch's user avatar

Only top scored, non community-wiki answers of a minimum length are eligible