Questions tagged [exams]

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

Filter by
Sorted by
Tagged with
0
votes
0answers
88 views

Mental Health in Mathematics

I am not sure if my question is relative to this meta but I still want to put forth my thoughts and concerns and questions because I think its not just me but others too who have similar issues. My ...
11
votes
2answers
754 views

Are there examples of countries where the use of CAS systems or graphing calculators was deemphasized or discontinued?

In the last 30 years more and more countries introduced graphing calculators and then CAS systems to their high-school students. But are there already any examples of a trend in the opposite direction?...
10
votes
6answers
1k views

Question formats for online tests, to deter cheating

I'm teaching calculus 1 online this term and anticipate being plagued by the perennial problem of cheaters. I have seen suggestions for how to arrange the testing time to accommodate for traditional ...
11
votes
5answers
2k views

Is there some standard method to measure the difficulty level of mathematics problems?

First off I apologize if this question comes out to be off-topic. I wasn't sure whether to post it on MSE or here. Lately I gave an exam named SSC-CGL. This exam is conducted every year in India for ...
23
votes
12answers
8k 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:...
13
votes
5answers
1k views

Where can I find public repositories of past math exams?

I'm looking for public repositories/banks of past undergraduate math exams. No solutions necessary. I just want inspiration for writing my own exams and practice exams. It'd be nice to collect links ...
10
votes
4answers
314 views

Is it a good idea to use past questions in examinations?

When it comes to writing examinations, there are two options I am considering. Write the entire exam originally (which will of course mean some well-known proofs, thereby technically not making it ...
2
votes
1answer
162 views

Effect of grades versus pass/fail on teacher education students

Context: University studies in Norway, master level, to become a teacher at either primary education (barneskole, classes 1-7) or mostly middle school level (ungdomsskole, classes 8-10 and pupils of ...
13
votes
7answers
4k views

A smart student that struggles in exams

I am tutoring a grade 8 student that failed his math exam, but surprisingly it seems that he is more than smart enough: he understands everything I say really quickly, and he knows most of the ideas ...
9
votes
2answers
414 views

Should we assess ability to use specific problem solving methods, or general ability to solve problems?

This is my first semester being an instructor of record for a college algebra course. One of the sections we cover is "methods of solving quadratic equations", where we discuss factoring and ...
5
votes
3answers
1k views

How to test student's skills in programming or using software?

I am going to teach an undergraduate statistics course next year. My plan is to spend less time on theory and a more time on teaching students to doing some statistics on computer. However, this ...
83
votes
15answers
15k 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 ...
7
votes
7answers
3k views

How do you handle the frustration of having to GRADE student exams / homework?

A math student may write very long and detailed answers, just because he or she does not know what to look for, for example in Geometry proofs. Or - a student may just write an arbitrary step without ...
2
votes
0answers
287 views

Which areas of maths should underperforming western countries focus on?

I am not sure which StackExchange to ask this question but I am interested in the relative underperformance of Western countries such as Australia, US, UK compared to other higher performing countries ...
6
votes
3answers
261 views

Create a math quiz with LaTex by randomly choosing questions from a bank

I am looking for a simple solution to the following problem: I would like to create a math quiz with n questions via LaTex (printable, in pdf) where question 1 is chosen randomly from question bank #1,...
1
vote
1answer
131 views

How to create an online examination in a small class that ensures certain academic integrity

I am teaching a Calculus class with around 30 students. The classroom is about 100 m^2. So far I have been using myopenmath.com to assign homework problems to my students. Now I would like to deliver ...
1
vote
0answers
200 views

Do you avoid examples or test questions that showcase an algorithmic plug'n'chug approach?

If we accept that there's not much learning from doing the "same" questions, like find the derivative of $x^2$, and $x^3$, and $x^4$ due to the algorithmic way of how it's done, then what ...
4
votes
1answer
239 views

How should mathematics tests be designed? [closed]

I am speaking about high school mathematics . Students have attended a mathematics course . By the end thereof , students are supposed to be able to: find the limit of a real function f as “x” ...
40
votes
11answers
9k 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, ...
13
votes
5answers
806 views

Descriptive Thinking vs. Formal Writing

Sometimes I come across some exam answers which describe a proof sketch or a counterexample very well but are not written formally. Such proofs show that a particular student understands the general ...
11
votes
1answer
414 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 ...
9
votes
3answers
2k views

Take-Home Examination on Ordinary Differential Equations?

I am planning to give my students a take-home examination on ODE. The main topic that I would like to cover is Linear Differential Equations of Order Greater than One. For example, I will give my ...
7
votes
4answers
1k views

Acceptability of creative questions in assessments

I am a math teacher and I have been for a decade now. One of the foundations of my philosophical approach to teaching has to do with Synthesis. For the purposes of this query, I consider Synthesis to ...
8
votes
2answers
254 views

Suggested idea: Course exams written by someone else other than the instructors/coordinators. Good or Bad?

As you might know already evaluating learning outcomes is very difficult. For example, student feedback is not always reliable; there are studies showing inverse relations between student learning and ...
4
votes
1answer
103 views

In preparation for exams: question bank or questions with omitted particulars?

I have been doing a little bit of experimenting when it comes time to review with the class in preparation for the final exam. The last handout I have been giving my students has usually been a ...
-1
votes
1answer
159 views

Questions about the calculus AP [closed]

I'm not sure if this is the proper place to ask this question, but I figured I'll try anyway. If I have the option of taking a Calculus AP class, and am thinking of pursuing a career in either ...
20
votes
8answers
3k views

How can I learn to write better questions to test for conceptual understanding?

I'm worried that I'm bad at realizing when a question I've written requires little or no conceptual understanding to answer. Like, when I'm writing a question for a homework assignment or exam, I'll ...
13
votes
6answers
3k views

Is it a bad idea to offer variants of a final exam based on the type of allowed calculators?

Background/rant: I am in charge of teaching our single quarter course on vector calculus (don't ask me why the department head thinks the area can be covered in half a semester). The two biggest ...
30
votes
7answers
15k views

What are the comparative advantages of open-book versus closed-book exams?

I would like to know the advantages and disadvantages of open-book exams as compared to closed-book exams, particularly in standard undergraduate courses like calculus or linear algebra. My practice ...
3
votes
1answer
674 views

Revision Lecture, what are the aims?

I will give a 2-hour long revision lecture on a Mathematics area. The aim of this lecture is to help the students prepare for the exam test. The course was rather long, covering 5 chapters and a ...
12
votes
2answers
404 views

How to test knowledge on the real numbers in a written exam?

In German universities, the first-year students typically start their analysis courses with introducing the real numbers. Most commonly, the incompleteness of $\mathbb{Q}$ is discussed using the ...
1
vote
1answer
1k views

Motivate your answer vs. Prove your answer

The title is self-explanatory, but what is the appropriate response to "motivate your answer"? Should you prove your answer? Should you just explain it, or give the intuition for it? For example, ...
4
votes
2answers
301 views

How can I help a student who is constantly struggling in an honors Algebra II (high school) class

I am tutoring a student who is in an honors Algebra II class. The class is definitely advanced and the student hasn't been exposed to this kind of material. The teacher is going beyond algebra II and ...
5
votes
1answer
173 views

For what subjects and grade levels is the take-home exam suitable?

I'm starting my job as a mathematics teacher in an intermediate school. I want to follow some new way of assessment and I'm really curious about take-home exams; are they suitable for any subjects? ...
0
votes
3answers
266 views

Is there a difference in the content taught at each university?

Say you have college A, B and C that are each ranked in the top 100 in the US News or other similar rankings. Admissions (SAT scores, GPA, et cetera) standards, quantitatively, rank A>B>C as the ...
5
votes
1answer
167 views

Practical ways to check if a student has mastered a particular topic

I've been thinking that in an ideal world math classes would be self-paced, with a student being required to demonstrate mastery in a collection of topics and techniques in order to complete the ...
7
votes
4answers
2k views

Students understand during course but can't solve exam

I am teaching a math class where the students, most of them, tell me that they can understand the materials given by me during the course. I test them during the course too and they seem to get it. ...
11
votes
4answers
415 views

How can I encourage my students to team work?

I have a motto, "My class is not an Olympic swimming pool! It is a museum full of the masterwork paintings! Relax and enjoy all of this mathematical beauty which I am drawing on the blackboard!" By ...
8
votes
2answers
527 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 ...
11
votes
7answers
1k views

Why don’t all professors let students use notes, books, etc. on exams?

Last semester I had a teacher who let us use any type of information in the exam, for example the course notes, books, solved exercises, etc. The only thing he did not let us use was something ...
9
votes
5answers
589 views

What is a fair way of constructing exams with tiered levels of difficulty?

I would like to construct an exam that has C-level, B-level, and A-level questions. I would like a student who answers all C-level questions correctly a passing grade, a student who answers all C and ...
18
votes
11answers
11k views

Adding irrelevant humorous questions to a quiz exam

Sometimes, when preparing some calculus exams I try to have a "funny question" such as: T/F I love mathematics T/F Calculus 2 is easier than Calculus 1, ... So my questions are: Do you think ...
11
votes
8answers
990 views

Intergration by differentiating will get you $0$ marks - but how to explain why?

When integrating and differentiating, sometimes one direction is easy and the other is harder. A nice example is $\frac{d}{dx}\tan x=\sec^2x$, where differentiating is easy but integration (without ...
8
votes
3answers
1k views

A student is cheating and I don't know how

I'm teaching a course at a community college called "Business Pre-Calculus", which is basically some varied rudimentary algebraic concepts integrated with some topics from basic economics and finance. ...
6
votes
2answers
292 views

To which degree should exams test intelligence vs mastery of the material

I think it happens to a lot of students that (at least it feels like) really understanding the material does not really contribute to having a decent grade. It seems to me that quite often exams are ...
2
votes
0answers
69 views

Is the annual system still in vogue anywhere in Europe, North America, Australia, or East Asia? And what about the 2-year B.A. / B.Sc. degree?

In Pakistan, we have until now had 2-year B.A./B.Sc. and 2-year M.A./M.Sc. university degrees after our 12th grade F.A./F.Sc. qualifications. Thus the former was a 14-year academic qualification, ...
8
votes
5answers
293 views

Mathematics exam -- How to keep brain functioning through a four-hour exam?

So my question isn't directly related to math, but I think you might be able to help me. I'm a 17 year old, last year at school. My class specializes in math/physics (that's our educational system in ...
16
votes
4answers
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 ...
12
votes
4answers
10k views

What should you do if you lose your student's exam?

Several times, I have come close to losing a student's Calculus exam. These exams are usually common exams, with everyone grading 100's of stacks. I've had exams go in wrong piles or get squished in ...
20
votes
2answers
734 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 ...