Questions tagged [exams]

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

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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 ...
2
votes
1answer
112 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
410 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 ...
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
242 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
258 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
130 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 ...
9
votes
5answers
963 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 ...
4
votes
1answer
237 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” ...
11
votes
1answer
411 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 ...
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
102 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 ...
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 ...
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 ...
-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 ...
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 ...
3
votes
1answer
657 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 ...
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
298 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
172 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
263 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
161 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. ...
8
votes
2answers
521 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 ...
17
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 ...
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
291 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
68 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
292 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 ...
9
votes
1answer
173 views

Experimental results about the variability of grades on a math exam

"[Myth] that exams are objectively graded. Daniel Stark and Edward Elliot sent two English essays to 200 high school teachers for grading. They got back 142 grades. For one paper, the grades ranged ...
11
votes
4answers
468 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" ...
2
votes
1answer
362 views

How About MCQs, True/False, and Fill-In-The-Blank Questions in Undergrad-Level Topology, Analysis, And Abstract Algebra Exams?

Is it advisable to set questions of multiple-choice, true/false, and fill-in-the-blanks in the bachelor's exam papers of courses on topology, analysis, functional analysis, and abstract algebra? Is ...
8
votes
3answers
1k views

A4 paper of notes in an exam

What are the effects of allowing students take one paper, say of A4 size, full of whatever they want, into an exam? It might be called a cheat sheet or something similar. Students might write it by ...
35
votes
15answers
13k views

Should I change my take-home exam policy because of one suspected cheater?

This is just the third semester I've been teaching, but I've been tutoring for many years. At the moment I'm teaching to community college students a "Business Calculus" course whose curriculum is ...
5
votes
2answers
301 views

Are there advantages to make students handwrite (instead of LaTeX typing) what they say in an oral exam?

In my university, in Italy, most professors want students (at least the undergraduate ones) to handwrite what they are saying in an oral exam. If I understood correctly, this is somewhat due to ...
7
votes
3answers
292 views

Standardized Exam for Statistics?

I have been trying to find a standardized exam for statistics, but have not had any luck. For example, there is an AP statistics exam for high schoolers to take, but I am looking for something that ...
5
votes
2answers
240 views

Are there any math certificates/qualifications on high school maths that you can do after high school?

I hope this is a good place to ask the question. My issue is that I have finished high school a number of years ago, and although I did some (non-advanced) math courses then, I did not do an exam in ...
3
votes
3answers
210 views

What to do if there is a wrong definition in a problem?

I saw a mathematical problem where was given a wrong definition and was asked if some numbers satisfies the definition. Is this solution fine if there is a mistake in the definition? A real number is ...
7
votes
3answers
255 views

Design of a math exam using multiple choice or computer

I'm teaching math in first years of university (matrix algebra, differential analysis, etc.) since maybe 5 years, and I usually give written (paper) exams to the students. I'm looking for ideas to ...
12
votes
2answers
244 views

How do you incorporate the results from a final exam into evidence of learning in a valid and justifiable way (i.e. grade determination)?

How do you incorporate the results from a final exam into evidence of learning in a valid and justifiable way (i.e. grade determination)? This question is open to all education levels. What is your ...
2
votes
0answers
67 views

Request for IBL Script for Putnam-type Problem Solving Course

One of the major benefits of a good IBL script is that it effectively organizes the experience of students so that their effort does not need to be used on such organization. A good script leads from ...
7
votes
2answers
241 views

Experience using Khan Academy badges for basic math courses

This semester I am teaching a basic geometry course for design students (interior and industrial), which I am making strongly project-based since I believe they need to learn how to use geometry "in ...
9
votes
3answers
3k views

Questions for Oral Examination in Mathematics

I am working on some research on implementation of oral assessment in mathematics classroom, and I was wondering are there any questions/problems/concepts in mathematics that can be only assessed ...
14
votes
4answers
964 views

As a TA, how to reduce imprecise notations/statements in students' exams

I'm not a course instructor, just a TA of the first quarter calculus course who lead discussion sections and grade exams. When grading the midterm, I found large number of students showed some ...