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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.

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8 votes
6 answers
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Would you correct grading mistakes downwards if there is a mistake in grading?

In a recent exam, I give student a true or false question asking them to decide if a statement is true. After the grades have been published, a student pointed out that I misread the statement and ...
LeafGlowPath's user avatar
6 votes
1 answer
355 views

How to assess students in real analysis?

Terence Tao says the following in the preface to his book Analysis I: With regard to examinations for a course based on this text, I would recommend either an open-book, open-notes examination with ...
Pedro's user avatar
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4 votes
0 answers
71 views

Seeking Advice on Incorporating Online Discussions into Course Grading

I've been utilizing edstem.org for facilitating math and logistics discussions in my course. Its support for LaTeX and hand-drawn illustrations has been convenient. Typically, students post questions, ...
user avatar
0 votes
1 answer
293 views

Understanding common multiples

Imagine a class of students who don't know what smallest common multiples (LCMs) are, or indeed what multiples are. (Notice I said "smallest" rather than "least" so as to avoid ...
Michael Hardy's user avatar
11 votes
9 answers
4k 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 ...
user avatar
6 votes
1 answer
629 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, ...
user avatar
2 votes
0 answers
139 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 ...
Maesumi's user avatar
  • 1,410
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 ...
user avatar
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 ...
FoiledIt24's user avatar
  • 1,281
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, ...
FoiledIt24's user avatar
  • 1,281
16 votes
3 answers
580 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 ...
okzoomer's user avatar
  • 341
2 votes
1 answer
641 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 ...
Ungar Linski's user avatar
9 votes
2 answers
472 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 ...
Brain Gainz's user avatar
17 votes
2 answers
510 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....
Noah's user avatar
  • 1,006
2 votes
0 answers
321 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 ...
Poidah's user avatar
  • 161
10 votes
2 answers
478 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. ...
Opal E's user avatar
  • 4,043
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 ...
John's user avatar
  • 41
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 ...
Aeryk's user avatar
  • 8,021
6 votes
4 answers
412 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, ...
dannum's user avatar
  • 161
12 votes
1 answer
467 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 ...
Nick C's user avatar
  • 9,639
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 ...
AYA's user avatar
  • 141
4 votes
0 answers
275 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 ...
Mike Pierce's user avatar
  • 4,845
7 votes
6 answers
998 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. ...
Clive Long's user avatar
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 ...
Mike Pierce's user avatar
  • 4,845
21 votes
1 answer
720 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}\...
Anthony Quas's user avatar
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 ...
Joelle Boulet's user avatar
9 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-...
E_Rushton's user avatar
  • 179
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 ...
Avi Steiner's user avatar
10 votes
2 answers
362 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....
pdmclean's user avatar
  • 967
6 votes
1 answer
576 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 ...
CAB's user avatar
  • 309
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 ...
user avatar
7 votes
1 answer
308 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 ...
Matt Brenneman's user avatar
5 votes
1 answer
196 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? ...
Nour's user avatar
  • 151
5 votes
1 answer
231 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 ...
eternalGoldenBraid's user avatar
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 ...
Matt Brenneman's user avatar
1 vote
1 answer
230 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 ...
Morten Engelsmann's user avatar
3 votes
0 answers
78 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, ...
Saaqib Mahmood's user avatar
8 votes
5 answers
376 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 ...
user494951's user avatar
44 votes
4 answers
3k 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, ...
Brendan W. Sullivan's user avatar
10 votes
2 answers
172 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 ...
Carlos Torres's user avatar
11 votes
4 answers
890 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" ...
Nick C's user avatar
  • 9,639
4 votes
1 answer
449 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. ...
Indira's user avatar
  • 41
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 ...
Jon Bannon's user avatar
  • 6,173
6 votes
1 answer
329 views

Test of level of a student for secondary school

I am looking for a test, paper based, execution time less than one hour, for an initial assessment of the math knowledge level of a secondary school student. I need to evaluate, very approximately, ...
pasaba por aqui's user avatar
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 ...
Simon's user avatar
  • 179
24 votes
2 answers
776 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 ...
Mike Pierce's user avatar
  • 4,845
9 votes
2 answers
150 views

What do you look for in a student presentation?

Context: I am teaching a course on plane geomtery at an mid-size state University in the USA for students who wish to be high school math teachers. They will have to make presentations once per week, ...
David Steinberg's user avatar
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 ...
Mark Fantini's user avatar
  • 3,040
12 votes
2 answers
262 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 ...
Marian Minar's user avatar
8 votes
1 answer
114 views

Assessing the level of students in a class

Recently I've moved to another university and next semester I will have my first class there. The problem is that I don't know the level of the students that will be attending my class. Of course, I'...
dtldarek's user avatar
  • 8,957