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Questions tagged [test-design]

For questions about designing effective tests and writing exam problems.

0
votes
1answer
98 views

Verifying Simple Expression Equivalence in a Spreadsheet

For simple expressions with easily derived canonical forms (eg polynomials and simple rational expressions), is there a way to leverage existing tools to verify that two expressions are equal when ...
2
votes
1answer
122 views

Downloadable MCQs on Mathematics

I am looking for multiple choice question (MCQ) based tests on some Mathematics' topics (details below), which could be downloaded in most preferably tex (LaTex) format or doc/docx format. Kindly ...
10
votes
0answers
221 views

What is known about discrimination and difficulty in test questions?

I am interested in looking at any design resources or "guiding principles" on the distribution of different types of question difficulties on evaluative examinations. We can use Item Response Theory ...
29
votes
12answers
10k views

What is the mathematical value of children learning and being tested on Roman numerals?

My 11 year old child recently took an important numeracy test. One of the questions required her to know that M = 1000 in Roman numerals. This made me very angry: I could not see how this relatively ...
2
votes
0answers
77 views

Comprehensive Assessment Test for Undergraduate Math Program

My department uses the Major Field Assessment Test in Math (I think we refer to it as the "MFT") and that is great for its purpose. However, I am currently teaching a capstone course where we spend ...
6
votes
7answers
613 views

What is your workflow for producing high school mathematics test papers?

I need to produce at least 30 test/exam papers a year, plus a few assignments and investigations. I have good source material but need to change numbers and contexts and output original papers that ...
10
votes
5answers
2k views

Software for randomizing multiple choice tests

I would like to give multiple choice tests with randomized questions and order of the answers that is unique for each test, to be printed and given on paper sheets. Is there a software that would do ...
8
votes
4answers
643 views

Source of conceptual, multiple choice calculus questions

I'd like to give my Calculus 1 class periodic multiple choice questions that really test conceptual understanding. Ideally, I'd like these questions to require very little computation. I know that a ...
11
votes
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 ...
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 ...
20
votes
5answers
4k views

What is the proper verb for “doing” an integral?

It's time to write exams, and when writing in committee we often discover differences in usage between various instructors. Here's an example I noticed today. What is the proper verb to use in a ...
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. ...
5
votes
4answers
1k views

Should tests given after the drop date be made less difficult in order to help the remaining students raise their grades? [closed]

It is that time of the semester again (after the final drop date) and my colleagues and I are once again having the discussion on whether or not the two remaining tests should be made so they are less ...
12
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8answers
2k views

Should true-false questions ask for an explanation?

I like to ask true-false questions on exams, because I feel that they can be an efficient way to assess students' understanding of concepts and ability to apply them to somewhat unfamiliar situations. ...
6
votes
3answers
178 views

Should one visualize properties of a matrix or/and state its properties?

Sometimes, if you want students to manipulate some sort of special matrices (like, asking if they are invertible or ask for a LU decomposition, etc.), you have to possibility to state all properties ...
75
votes
15answers
13k 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 ...
13
votes
4answers
299 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 ...
13
votes
4answers
888 views

What are effective alternatives to a written math exam to evaluate knowledge?

Some students do not do well under pressure or testing situations and cannot demonstrate their knowledge of a math subject with a written exam. On the other hand, I think that students that do not ...
7
votes
1answer
230 views

Placing incoming college freshmen: basic algebra, pre-calc, calc

Assume that you have incoming college freshmen, so you might have access to their high school courses and grades, as well as their results on a placement test offered by your college. Also, assume ...
37
votes
6answers
7k 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-...