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15 votes
15 answers
7k views

Students can't seem to grasp the intent of tangent lines and getting general trends of derivatives from graphs

Background I'm informally helping a few students with college Calc 1. This isn't the first time I've aided people with calculus, and so they've sought me for help, though I don't consider myself to ...
Krupip's user avatar
  • 291
7 votes
2 answers
261 views

How to catch students from different subjects' interest to math?

I have just started to teach Calculus to freshmans and sophomores who study non-mathematical subjects, e.g., international relations, psychology. They have to take few mathematics classes -including ...
Ninja's user avatar
  • 311
28 votes
4 answers
1k views

The Undergraduate Responsibility Gradient

We tell undergraduate students that they should study two to three hours for every hour they spend in class. We know that many students don't follow through with this nearly to the degree that they ...
Jon Bannon's user avatar
  • 6,173
16 votes
2 answers
530 views

Nontraditional calculus recitations

I'm a math grad student, and next semester I start TAing a calculus class for the first time. We all know about the standard recitations: instructor gives short lecture on some more difficult topic ...
user141592's user avatar
11 votes
6 answers
1k views

How can I convince students that Fourier series are useful?

Main question: Calculating the coefficients of a Fourier series can be difficult and time-consuming. How might a student be motivated/convinced to go through these (potentially tedious) details? Are ...
matqkks's user avatar
  • 1,243
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
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