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Questions tagged [exams]

For questions concerning exams like creating or grading exams.

5
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1answer
114 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? ...
1
vote
3answers
242 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 ...
4
votes
1answer
105 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 ...
6
votes
4answers
328 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. ...
7
votes
2answers
330 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 ...
10
votes
7answers
528 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 ...
15
votes
12answers
9k 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
399 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
250 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
63 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, ...
9
votes
5answers
221 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
123 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 ...
10
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4answers
269 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
118 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
314 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 ...
34
votes
15answers
8k 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
231 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
157 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
144 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
193 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 ...
7
votes
3answers
182 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
204 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
60 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
215 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 ...
8
votes
3answers
2k 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 ...
13
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4answers
817 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 ...
9
votes
1answer
350 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
5answers
737 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 weather to post it on MSE or here. Lately I gave an exam named SSC-CGL. This exam is conducted every year in India for ...
9
votes
2answers
327 views

How do I grade long calculations in a mathematics exam in a fair way?

I am currently grading a problem in an exam on analysis for mathematics students. One subtask is to calculate a certain integral (The resulting term has to be as simple as possible.). For this part I ...
11
votes
8answers
735 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 ...
9
votes
5answers
403 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 ...
11
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5answers
1k views

A Method to Grade a Multiple Statement or True and False Question

I am trying to come up a method to grade a multiple choice question. I prepared a test that consists of some questions and each question has 10 options for which 3 to 5 options are correct. When I ...
8
votes
1answer
101 views

Using past paper questions in examinations

When it comes to writing examinations, there are two options I am considering. The first is to write the entire exam originally (which will of course mean some well-known proofs, thereby technically ...
3
votes
2answers
151 views

SAT Mathematics Section Prep

What are some of the best resources and drills that one can use to take students from good to great scores on the SAT especially in math section.
5
votes
1answer
195 views

Exam Writing: Combining Topics on Exams in New Ways

The Question: Does combining two or more topics into one question on a mathematics examination when the topics have not notably been combined in the course lecture, homework, or other assessments ...
16
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4answers
4k 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 ...
12
votes
2answers
219 views

Resources on how to mark a maths exam

I am looking for some resources which tells someone how to mark a (1st year undergraduate level) maths exam paper. Ideally it would cover the basic stuff, like making an error at the top doesn't ...
10
votes
2answers
250 views

Placement tests for middle school math

Our district has changed its approach to placing students in grades 6 and 7 math classes. Students considered for placement above grade level must now take a test composed of problems drawn from the ...
18
votes
5answers
1k 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". ...
4
votes
1answer
330 views

Abandon all hope, ye who enter my office!

The sentence in the title is inspired by a sentence on the gate of hell in Dante Alighieri's masterwork Divine Comedy (Part I: Inferno). I usually write it on my office door after exams when I think ...
19
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2answers
551 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 ...
11
votes
5answers
4k views

Grading scale: how to handle multiple choice questions with different number of choices

Suppose you have been told to give a multiple choice exam, and to nullify the effects of random guessing by penalizing incorrect answers. Suppose there are $N$ available choices, of which exactly one ...
2
votes
4answers
715 views

On what total do you grade your exams?

Let's say that a given course has $3$ exams that are worth $25\%, 35\%$ and $40\%$ each. When building and correcting the exam, do you give/take out points so that the total sums to $25,35$ or $40$ ...
6
votes
2answers
132 views

Should midterms exams include the most recently covered material?

Should material covered in the class period prior to a midterm be included on the exam? My usual instinct is no---students can't (and shouldn't) be expected to have absorbed material until they've ...
27
votes
9answers
4k views

When handing back exams, what should we tell our students about the distribution of exam scores?

I've seen a variety of approaches to the day we hand back our exams. Show every score listed in order, so every student knows exactly how they compare to others Show an aggregated histogram, for ...
16
votes
4answers
1k 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 ...
10
votes
2answers
219 views

How useful are quizzes in undergraduate math courses?

So I have given quizzes in two different ways (1) Quizzes will be a problem taken "verbatim" from an example in this weeks reading, prior to the topic being presented in class. and (2) Quizzes ...
5
votes
3answers
552 views

Item Analysis in Mathematics Exams

I'd like to process data like the following, from my most recent seven-question exam. ...
21
votes
2answers
542 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 ...
8
votes
1answer
313 views

How should exam scores correlate to final grades?

Updated: The first version of this question was implicitly assuming that we know in advance roughly what the distribution of grades in a class will be (for instance, roughly the same as last year). ...