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Questions tagged [exams]

This tag is intended for questions about exams as viewed from the point of view of an instructor.

86 votes
15 answers
16k views

Should I design my exams to have time-pressure or not?

Is it better to design an exam with fewer questions and relaxed timing or with more questions and a resulting time-pressure? One the one hand, it seems that students who really know the stuff will ...
JDH's user avatar
  • 4,076
12 votes
4 answers
930 views

How to design multiple choice questions

I've seen the previously-asked questions about the effectiveness of multiple choice problems, but I want to know about design. What are best practices in multiple choice problem design? The "common" ...
Nick C's user avatar
  • 9,729
8 votes
2 answers
958 views

Should students be given partial scores when they gave an incomplete proof by contradiction?

In a quiz, there was a question asking students to show something doesn’t exist. A lot of them gave proofs by contradiction. Initially, I designed the marking scheme so that an incomplete proof by ...
tonychow0929's user avatar
41 votes
6 answers
16k views

How can I estimate the length of an exam?

Background: I am fairly new at teaching, and in every subject I have taught, I have had difficulty estimating the length and difficulty of an exam. I need to write an exam for a university senior-...
Brian Rushton's user avatar
22 votes
2 answers
760 views

Exam philosophy

I'm curious if anyone knows of any books, studies, or other resources on the philosophy of creating and grading mathematics exams. After working as a graduate TA for 4 years and dealing with a wide ...
icurays1's user avatar
  • 485
21 votes
2 answers
946 views

Handing out $2 calculators for tests?

In a store last weekend, I saw a simple solar-powered calculator for $2. It had four functions plus a square root key. I'm considering the possibility of buying 50 such calculators and handing them ...
user avatar
20 votes
6 answers
9k views

Worldwide collection of final examinations in mathematics

I am interested in comparing mathematics (and also physics) final examinations from all around the world for the highest secondary school qualification in the particular country. Especially I am ...
Julia's user avatar
  • 1,275
18 votes
4 answers
2k views

Requiring students to know all the proofs on an oral exam

I'm asking this question as a student, wondering what various pros/cons to the given formula for oral exams could be. Let me give some context first. I am a first year mathematics student at a ...
Ormi's user avatar
  • 325
12 votes
4 answers
313 views

It is good to have old exams (with solutions) published?

What are the arguments in publishing or not publishing old exams? If yes, should they contain also a solution? Would you publish them directly after that particular exam or publish your old one's just ...
Markus Klein's user avatar
  • 9,448
12 votes
1 answer
474 views

How, now, shall we teach math online?

Now that everyone has had the experience of teaching math in an online/remote/synchronous/asynchronous format, and looking forward to more of this in the Summer and Fall terms, how do we change our ...
Nick C's user avatar
  • 9,729
42 votes
11 answers
11k views

Formula sheets and books during tests and exams

Some teachers make memorizing formulas, definitions and others things obligatory, and forbid "aids" in any form during tests and exams. Other allow for writing down more complicated expressions, ...
dtldarek's user avatar
  • 8,967
24 votes
6 answers
2k views

What are some good rules for handling student questions during exams?

For example, I gave an exam earlier today with a problem that ended in the sentence Use the chain rule to find $(f\circ g)'(3)$. During the exam, one of the students asked me what the circle ...
Jim Belk's user avatar
  • 8,289
22 votes
14 answers
14k views

Student asked me if it is necessary to simplify fractions at the end of answering a question. I'm not sure how to respond

I was just tutoring someone and we went through some sort of diagnostic test thing, when the following question came up. Question: Here is some information about $50$ people who took the driving test:...
Adam Rubinson's user avatar
19 votes
5 answers
2k views

How to award points for sense-making at the end of a problem?

Here is a statistics question I asked on a recent exam: How high should the doorway be to allow 97% of men to fit through it? I got a very large number of answers like "3 inches" or "0.0001 feet". ...
Chris Cunningham's user avatar
15 votes
5 answers
2k views

How to deal with answers containing completely off-topic/random/very wrong arguments?

It often happens that students answer (partly) a questions in an exam (lets assume this part is okay), but then add something completely off-topic or something very wrong in their answer (see examples ...
Markus Klein's user avatar
  • 9,448

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