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3 votes
2 answers
416 views

Significant digits in high-school Calculus?

Significant digits are in the curriculum for both my Chemistry and my Physics class, and all my Calculus students have taken at least Chemistry. It also pops up in the school's Precalculus class (...
Rory Daulton's user avatar
  • 2,582
20 votes
3 answers
2k views

What to do when a majority of students have insufficient mastery of the prerequisite material?

I'm currently teaching a second-semester calculus course in which a significant percentage of my students (over half) either tested into the course just out of high school, took a much easier first ...
Alexander Gruber's user avatar
20 votes
4 answers
1k views

Evaluating the reception of (epsilon, delta) definitions

Both education researchers and mathematicians discuss the challenge of (epsilon, delta) type definitions in real analysis and the student reception of them. My impression has been that mathematicians ...
Mikhail Katz's user avatar
  • 2,238
15 votes
6 answers
3k views

Is there any difference between teaching calculus for math and engineering students?

In our university both math and engineering students attend in the same calculus classes. There are arguments in our department about the possible influences of this approach on students. It seems ...
user avatar
4 votes
1 answer
132 views

Would chapter mini-projects be more beneficial than weekly homework for large classes n>100

I am trying something new this semester in my Calculus classes. I currently have over 400 students, and there is no way I can find the time to grade and give constructive criticism on all the ...
Todd Thomas's user avatar
  • 1,218
27 votes
6 answers
795 views

Would taking 5 minutes to explain the history behind a mathematical idea help stimulate learning the idea?

I read a paper in my "Research Issues in Mathematical Education" class that I have applied to the Undergraduate Calculus I and Calculus II class that I teach. I take five minutes to explain the ...
Todd Thomas's user avatar
  • 1,218
33 votes
14 answers
2k views

Revisiting topics from previous courses [closed]

I teach calculus to students who have almost all taken calculus before. (Primarily first-year college students who took calculus in high school but didn't perform well enough to skip the course.) ...
Henry Towsner's user avatar
27 votes
3 answers
1k views

Counterexamples in first year calculus

Many believe (I think rightly so) that the presentation of counterexamples should play an important role in the teaching upper level mathematics courses such as real analysis and topology. ...
Gamma Function's user avatar

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