Questions tagged [assessment]

Assessment questions ask how to properly, effectively, and efficiently ascertain the abilities of students. This doesn't necessarily involve numerical grades, but rather is focused on an overall characterization of knowledge/ability.

Filter by
Sorted by
Tagged with
10 votes
8 answers
2k views

Effectiveness of Requiring Students to Repeat Proofs Presented in Class

In teaching mathematics, I've avoided asking students to replicate proofs I've demonstrated in class, believing this approach primarily tests memorization rather than understanding or critical ...
16 votes
2 answers
1k views

What are some resources for "ungrading" in a math class?

Most of the stuff I'm finding online about ungrading are either general descriptions of its virtues, or personal accounts from instructors from subjects other than math. Does anyone know any resources ...
6 votes
1 answer
622 views

Strategies for Fair Assessment in Mixed-Ability Undergraduate Math Classes

In my undergraduate courses (discrete math, linear algebra), students' backgrounds vary significantly. One group has a strong math foundation from high school, while the other, less prepared, ...
2 votes
0 answers
132 views

What is the origin of "Core Assessment" for freshman university classes?

As a math faculty in a public institution in TX, USA, I am supposed to conduct a "Core Assessment" for most of my freshman classes. This typically entails an assignment to be completed by ...
8 votes
4 answers
2k views

Seeking Advice on Allowing Students to Skip a Quiz in Linear Algebra Course

I am currently teaching a linear algebra course at a university and have chosen to assess my students using five quizzes throughout the semester, instead of assigning homework. I have encountered a ...
5 votes
4 answers
2k views

When is the best time to return a graded assessment?

I teach high school Pre-Calculus. In an effort to make my lessons more efficient time-wise, one area I think I can improve is choosing the right time to return graded assessments to my students (that ...
6 votes
3 answers
1k views

How can I improve my Retake Policy?

I teach Pre-Calculus at a public high school in the United States. This school year, I allowed my students to retake any assessment regardless of how they performed on their first attempt. However, ...
32 votes
8 answers
2k views

How to solve the problem of Wolfram Alpha?

I teach to predominantly non-majors in college algebra, precalculus, and calculus. How can one possibly incentivize or rationalize assigning practice problems outside of class when this software is ...
16 votes
3 answers
550 views

How to balance between teaching to the standardized test vs understanding?

For people teaching high school standardized curriculums such as AP, IB, or A-Levels, how do you find the balance between preparing students for the standardized test compared to ensuring they ...
44 votes
4 answers
2k views

Teaching undergraduates who expect a high-school-like learning environment

tl;dr: Some students expect to be told "what's on the test", to memorize and then move on. What can be done to change how they learn while teaching them what to learn? Context: Introductory, ...
10 votes
4 answers
328 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
1 answer
635 views

Write calculus multiple choice questions with only numerical answer choices?

What are the best type of answer choices for multiple choice questions? Numerical only like the probability and financial math actuarial exams? I have an opportunity to utilize a multiple choice ...
9 votes
2 answers
465 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 ...
17 votes
2 answers
505 views

Is there a math curriculum that is aware of CAS and the internet?

About 15 years ago, I heard a math education professor give a talk about how computer algebra systems would change the kinds of questions teachers would ask high school and first year college students....
11 votes
3 answers
393 views

In math courses with writing requirements, how should large papers be graded fairly?

In a course I am teaching this semester, I am required to have my students write a large (6-12 page or so) paper worth 40% of their grade. Many other colleges have courses with similar requirements, e....
2 votes
0 answers
320 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 ...
10 votes
2 answers
466 views

Weekly quizzes as an alternative for midterms? What is this called?

I have seen (by some of my former instructors) the following strategy applied as an alternative to traditional "midterms and final" assessment in a math course: Students take a quiz weekly. ...
4 votes
0 answers
109 views

Create a mathematical problem with randomized parameters

Recently I am using Moodle to create problems with randomized parameters. In Moodle, there is so-called Calculated questions that let me do this in a straightforward way. For example, I can simply ...
6 votes
4 answers
410 views

Do you know of any third-party math-friendly testing software?

At a previous institution, we used moodle for our learning management system, which has a fairly useful tool for creating quizzes that make it more difficult for the student to cheat. In particular, ...
5 votes
3 answers
203 views

Online Definition/Theorem Statement Quizzes

This fall I'll be teaching a standard "Introduction to Proofs" course and administration is advising us to be ready at any time to switch from in-person to fully online (or anything in ...
12 votes
1 answer
464 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 ...
0 votes
0 answers
84 views

Better instruction for an identity equation worksheet

I would like to construct a good worksheet for my students. I am thinking of creating an instruction that will cover all problems related to identity equations. Here is how I initially constructed ...
21 votes
1 answer
685 views

How do I track down the sources of solutions which students have used to cheat on exams?

I recently taught an introduction to real analysis. I assigned a (covid-induced) take-home final, which included the question: Define the set S by $$ \bigcup_{n=1}^\infty \left\{ \frac{a}{2^n}\...
19 votes
5 answers
393 views

Is required reading of the text effective, and how can it be assessed?

This will likely depend on the class, of course. But I've asked calculus students in the past if (a) they regularly read the textbook and (b) whether this is helpful for them and (c) whether they like ...
4 votes
0 answers
272 views

How must the "ungrading" idea be adapted to work in a math class?

After seeing no direct responses to this question, I'll instead be more direct myself. Ungrading is a buzzword being tossed about for assessing students' progress without focusing on quantitative ...
7 votes
6 answers
993 views

Efficient methods to receive and grade online mathematics assessments?

I am UK-based but I guess this issue currently affects all maths educators and has probably been addressed by those how have been delivering courses through online channels for the past few years. ...
4 votes
2 answers
191 views

For an online assignment application, should different versions of the same assignment be allowed to have different numbers of questions?

For an online assignment application where you can configure different versions of a single assignment/test to have different questions, should it be possible to also have the different versions have ...
10 votes
7 answers
2k views

Do you have an efficient way to view student responses to remote assignments allowing them to type math symbols and steps? (Middle + High school)

Asking for a friend, this seems generally useful given #distanceLearning right now. Below is her message in a quote block followed by my response. I am using Google Classroom, G-sheets, G-Docs, G-...
10 votes
4 answers
409 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 ...
4 votes
2 answers
1k views

Asking students to define "unique"

Context: This is for introductory linear algebra course, near the beginning. As a sort of "exit survey" after one of my lectures, I would like to ask my students to try and define what "unique" is ...
10 votes
2 answers
351 views

Pros and cons of randomised question generation

I am developing an assessment piece where the content is the same but the particular numbers are different for each student. It involves finding Triangle Centers given points using coordinate geometry....
10 votes
1 answer
1k views

Effectiveness of multiple-choice versus short answer questions

I want to know if there is any research on whether students' learn better by answering selected response (multiple choice) questions than constructed response (written) questions. My gut feeling is ...
6 votes
1 answer
574 views

Midterm in Mathematics Courses

Can someone point me to papers indicating whether or not a midterm is an important part of a course? I suspect I can find many 'experiential anecdotes' that midterms are good/bad/moot but I would ...
17 votes
6 answers
5k views

How to deal with a "protest" assignment?

I just received one assignment (by email) from a student. Out of 6 questions, "I don't know" is the answer to 4 of them. There is also a comment at the end of the assignment which suggests my ...
61 votes
4 answers
6k views

Is it worth grading calculus homework?

I am a young math educator. I've TAed four semesters of calculus for various instructors. Some instructors have required me to grade selected problems in homework sets. Another required me simply to ...
7 votes
1 answer
295 views

Measure of Improvement in Math Skills from Remediation with ALEKS

I am analyzing some data on ALEKS for my home institution (ALEKS, an acronym that stands for "Assessment and Learning in Knowledge Spaces", is an online tutoring and assessment program that includes ...
5 votes
1 answer
195 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
1 answer
228 views

Evaluation and feedback using Optical Mark Recognition systems in secondary school

OMR in exit tickets I plan to use an OMR, Optical Mark Recognition systems at the end of (some of) my classes. I want to use the same OMR system for exit tickets scattered over the academic year (not ...
5 votes
1 answer
223 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 ...
8 votes
0 answers
193 views

Are there standard questions for testing how an instructor grades calculus?

My institution is now in the process of "standardizing" our calculus classes. One issue we have is the variation among instructors in grading problems. I am interested if there are ways to objectively ...
3 votes
0 answers
77 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
5 answers
355 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 ...
24 votes
2 answers
766 views

Separating the roles of "teacher" and "assessor"

Teachers at the university level (at least what I've seen in the US) are responsible for both teaching students the material for a course, and assessing the students' understanding of the course ...
19 votes
5 answers
398 views

Can homework play a substantial role in the assessment of understanding in university math?

Ideally, I'd like my students' grades to be based on more than just exams, because I think that certain tasks, such as writing proofs, aren't best performed in a test environment. Using homework for ...
10 votes
2 answers
169 views

Cognitive demands of a mathematical task

I'm looking for a theoretical framework to classify a task based on its cognitive demand. I only have the Smith and Stein's (1998) proposal and PISA framework such as my principal references. In ...
11 votes
4 answers
831 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" ...
4 votes
1 answer
444 views

how to prove my 6th grade son knows algebra 1?

My son is taking pre-algebra in 6th grade. He mastered algebra 1 in detail more than what school can teach. How to prove to school that he mastered Algebra 1? He wants to start Algebra 2 in 7th grade. ...
12 votes
2 answers
261 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 ...
3 votes
1 answer
2k views

Problem with "Calculated Formula" question in blackboard online test

I received the error message "Question Syntax. There is an error in the syntax of this question. One or more variables may be invalid." when I tried to make the following question: Compute $\|\langle ...
28 votes
4 answers
1k views

The Undergraduate Responsibility Gradient

We tell undergraduate students that they should study two to three hours for every hour they spend in class. We know that many students don't follow through with this nearly to the degree that they ...