Questions tagged [grading]

Grading questions ask how to properly, effectively, and fairly assign grades to assignments/exams/quizzes.

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113 views

How to grade a flipped class to improve participation and attendance

A flipped service course for me is an arrangement where videos are online and on-campus class time is used for problem solving by students. I usually have a homework due date the day after the ...
0 votes
1 answer
116 views

Is there a mathematics core assessment rubric?

Many universities in USA ask their faculty to perform a "core assessment" where they evaluate (typically) freshman students, near the end of semester, on their understanding of the courses ...
10 votes
7 answers
4k views

Is it a good idea to give partial points in grading

When grading problems on quizzes and exams, I often break them down into sub-problems, each worth a portion of the total points. I use rubrics to award partial credit for each sub-problem. However, ...
4 votes
0 answers
70 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, ...
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 ...
15 votes
6 answers
2k views

What is important to keep in mind in grading proof-based courses?

I am an undergraduate grader at my institution where I have been entrusted with grading a section of an undergraduate analysis course; it's usual for this role to be offered exclusively to graduate ...
12 votes
2 answers
1k 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 ...
8 votes
5 answers
2k views

Adjusting a Bonus Points System to More Equitably Benefit Struggling Students

I am a mathematics professor seeking advice on refining my grading system for future courses. I currently employ a bonus points system intended to provide a catch-up mechanism for students who may be ...
11 votes
4 answers
5k views

Is there a fair way to increase the grade of students who did not do well in exams?

How can I fairly compensate a student who showed passion and dedication for my undergraduate course but performed poorly on the final exam, without unfairly advantaging them over other students? ...
6 votes
4 answers
3k views

Point Deductions - Exams and Quizzes

With regard to an undergraduate statistics course, I am developing a standardized list of point deductions with the TAs (doctoral students) so that graders are consistent in what they are taking off ...
12 votes
3 answers
964 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 ...
28 votes
7 answers
6k views

What value is there in requiring students to answer word problems in complete sentences?

This is related to my previous question What value is there in requiring students to declare the dimensions of an answer when it is already clear from context? , but with a different focus. A sizeable ...
17 votes
8 answers
4k views

What to do when your students are all getting A's

Now, the title of the question definitely needs some background! In some courses, everyone can get an A and it's no problem (especially later grad courses). However, many times it is good to have 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 ...
37 votes
10 answers
3k views

Interesting things you learned while grading?

What are some interesting mathematical things you have learned while grading student work (or marking, if you prefer)? It is final exams time here, so if anyone can help cast a more positive light on ...
7 votes
7 answers
4k 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 ...
13 votes
5 answers
6k views

What should I do if students did very poorly in the mid-term exam?

In the linear algebra course I taught, I have three exams. In the first exam, which is probably too hard, students did poorly. So many students said they have lost confidence. To encourage them, I ...
15 votes
4 answers
1k views

What are the pros and cons of having students choose which HW problems are looked at?

I am considering a new HW policy that I haven't seen elsewhere. Each week the student must turn in $n$ problems, of her choosing. There will be no HW score beyond documenting whether the student is ...
12 votes
12 answers
7k views

How should I grade true-or-false questions if the student's writing is unclear?

See the attached image: I am having a difficult time grading this paper as I am not sure if the student intentionally wrote the answers in such a way that each answer looks like both "T" (...
5 votes
4 answers
805 views

Way to assign points for an item based on the percent of students who answered the item correctly

Is there a common and simple way of assigning points for a test item based on the percent of students who answered the item correctly ($p$-value)? For simplicity, let us disregard for a moment the ...
18 votes
8 answers
2k views

What is the right feedback for incorrect cancellation?

Here are three "cancellations" seen during algebra simplification, two of which are invalid. (1) $\frac{x + 6}{6} = \frac{x+6\hspace-1.2ex\diagup}{6\hspace-1.2ex\diagup} = x$ (2) $\frac{6x ...
12 votes
5 answers
2k 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 whether 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
3 answers
420 views

Argument for and against giving two different grades at the end of a course

From education theory, there are different concepts how to grade an exam: Either you can say that someone gets only by correct answers or you can say: No matter how good someone is, the best 10% get ...
2 votes
0 answers
371 views

Peter Liljedahl "Thinking Classroom" pedagogy: what is evidence for its effectiveness?

Peter Liljedahl discusses a lot about "thinking classrooms". There is research and books, which show, that his methods transform classes from "non-thinking" to "thinking"....
6 votes
4 answers
314 views

How to grade group project or group assignment?

I am writing a syllabus for a statistics course which I will teach next year. My plan includes a group project for students. To reflect the contributions of each students, I want to grade the project ...
11 votes
3 answers
406 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....
5 votes
2 answers
332 views

Curving grades without creating competition among students [closed]

I've recently taken a new position within a math department at a large university. The department has an official policy that in most lower-level undergraduate classes (let's say anything in the ...
8 votes
1 answer
142 views

Grading in a way that lets students have a good and formative experience

This fall, I'll be a reader (i.e. homework grader) for the first time, and the course is a second-level linear algebra course, which is likely the first proof-based course most of the students will ...
1 vote
1 answer
185 views

asynchronous teaching and requiring frequent email updates from students, and having these as the only part of their grade

Due to the COVID pandemic, classes at my school (small public liberal arts college) will be all online. I've chosen to try teaching asynchronously (via pre-made video lectures) starting next week. I ...
4 votes
0 answers
274 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 ...
1 vote
3 answers
176 views

Does the "Find" in questions such as "Find the solution" imply the process of finding must be laid out?

I am currently marking a set of math assignment at university, and I am wondering about the following general point: in a question such as "Find the solutions to the equation $x^2 - 3 = 0$", does the ...
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-...
0 votes
2 answers
2k views

When assigning a late penalty for assignments is that penalty subtracted from the total or does it reduce the score by that percentage

When assigning a late penalty for assignments, is that penalty subtracted from the total or does it reduce the student's score by that percentage. Ex: Assignment is worth 10 points and the late ...
4 votes
0 answers
157 views

What effect does giving numerical or written grades have on learning?

When I was in school, pupils were given numerical grades, or the equivalent of numerical grades but disguised as words, on their performance in various school subjects and also behaviour. A key ...
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 ...
11 votes
4 answers
444 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 ...
6 votes
8 answers
820 views

How much credit to give a short exam question with one error?

In comments here there seemed to be significant difference of opinion on how much credit to give to a short exam question with a single critical error in it. Consider the example of student work ...
3 votes
3 answers
395 views

What is the best way to assign letter grades in a math class?

Here's the most common way that I've seen letter grades assigned in undergrad math courses. At the end of the semester, the professor: 1) computes the raw score (based on homework, quizzes, and tests) ...
11 votes
4 answers
1k views

Should homework be graded in an undergraduate math course?

It seems like the internet has made it very difficult to prevent cheating -- simply looking up the solutions to textbook problems -- on undergraduate math homework. So there is a danger that grading ...
10 votes
5 answers
903 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 ...
6 votes
2 answers
267 views

Effective Assessment that's Easy to Grade

A colleague of mine will be teaching 3 classes (pre-calculus and two sections of calculus, at the university level) next semester with an additional grader in only one of those classes (pre-calculus). ...
11 votes
8 answers
1k 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 ...
24 votes
2 answers
775 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 ...
17 votes
4 answers
553 views

Making solutions to all problems freely available

I teach at a community college, almost all physics but also a math course now and then. My current practice is that I assign homework worth a very small number of points (1 point per problem, as ...
27 votes
16 answers
4k views

Grading a limit problem

In an exam we have Question (5points) find $\lim_{x\to\infty}(x-\sqrt{x})$. A student answered: $\lim_{x\to\infty}(x-\sqrt{x}) =\lim \sqrt{x}(\sqrt{x}-1)=\infty \cdot\infty=\infty$. My question is:...
9 votes
1 answer
212 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 ...
5 votes
1 answer
137 views

Marking PDF Files [closed]

I'm trying to find a program, or set of programs, that will allow easy markup of student assignments submitted as PDFs. I'd like to include more complicated math with this markup. I've tried pen ...
2 votes
2 answers
155 views

Continuous evaluation/Participation points

European universities are running the so called "Bologna plan" which includes the recommendation of keeping some percentage of the final grades to be filled with various activities during the lessons ...
4 votes
1 answer
307 views

How much credit for a single arithmetic mistake?

A question related to this one, on an equivalent problem on a community-college College Algebra exam. In the prior question most readers observed the error as a critical conceptual issue. Now consider ...
19 votes
3 answers
3k views

"But I copied that from a book-reference you gave! How can that be wrong?", or how can you grade homework which is solved poorly in some book?

Sometimes when assigning homework, it is possible that the homework can be found in some books or lecture notes, sometimes even referenced by yourself. As long as the proofs and arguments there are ...