Questions tagged [grading]

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

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8
votes
1answer
105 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
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1answer
75 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 ...
11
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1answer
229 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 ...
4
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0answers
106 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 ...
28
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4answers
2k 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 ...
1
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3answers
122 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 ...
10
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7answers
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
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2answers
120 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
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0answers
134 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 ...
57
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4answers
4k 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 ...
12
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4answers
391 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
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8answers
460 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
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3answers
247 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
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4answers
456 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 ...
9
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5answers
448 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
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2answers
234 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
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8answers
873 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 ...
20
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2answers
498 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 ...
16
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4answers
452 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
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16answers
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
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1answer
156 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
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1answer
124 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
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2answers
128 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 ...
10
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5answers
1k 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 ...
4
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1answer
152 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 ...
17
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3answers
2k 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 ...
12
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2answers
233 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 ...
13
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4answers
919 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 ...
3
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1answer
238 views

How should I deal well-known versus the obvious rubric?

I happen to be a student in America taking AP Calculus BC, or Calculus II, and recently, I had the following problem: Determine whether the following integral converges and evaluate it if it does: $$\...
5
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2answers
193 views

Grading a Simple Rounding Exercise

A student is given the question: "Round off each of the following numbers, correct to two significant figures. 32.4892 8.2673 475.98 0.078625" There are two marks for each. If a student answers ...
16
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3answers
304 views

Efficient ways to grade proof-based math courses

My school employs undergradates graders for most of the undergraduate math courses, and this year I have been tasked with grading an intro to proof-based linear algebra course. This is students' ...
8
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5answers
438 views

Rubric for grading an undergraduate real analysis course

I find it extremely time consuming to grade a homework in an undergraduate real analysis course without a rubric. Several instructors I worked with did not have a clear rubric in their mind at all. ...
7
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2answers
196 views

being a good marker as a TA

I'm a new graduate student, and am currently TAing a calculus II class (which covers primarily integration). At my university this involves both marking assignments and leading tutoring sessions. ...
21
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2answers
635 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 ...
10
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2answers
221 views

Is there any research on the value of extra credit in the college mathematics classroom?

After teaching mathematics for a year, where in each class I had opportunities for my students to earn extra credit, I am reflecting on whether this has any value. The reason why I am questioning ...
12
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2answers
178 views

Benefits of students grading each other's (or their own) homework or quizzes?

I was wondering if there is any benefit to having undergraduate students swap homework and quizzes and grading them, with solutions that I provide. I was thinking it might be helpful for them to ...
9
votes
1answer
265 views

How do you assign a grade to a proof?

This question is very similar to one I posed two years ago: How to assign grades to proofs: what do(es) theliterature/experts suggest? I would like to ask the more general question of: what do you ...
5
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3answers
247 views

Marking dyslexic mathematical writing

In the context of an undergraduate class focused on proof-writing, a small change in what is written donw can make a big difference to the meaning. Are there any guidelines in use on how to mark such ...
10
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2answers
402 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 ...
3
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0answers
65 views

Looking for specific feedback on my feedback

First post here. I've just been reading up on giving good feedback, and decided to do some feedback on an assignment that was due today (secondary school calculus). I've been trying my best on it but ...
13
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1answer
140 views

Seeking Concise Article on Motivations for and Benefits of Standards-Based Grading

I am preparing for my second year of implementing standards-based grading (SBG) in my 5th and 6th grade math course. I was thrilled with the benefits of using SBG with my students but found that I ...
6
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3answers
291 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 ...
3
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1answer
502 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 ...
11
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5answers
2k 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 ...
16
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1answer
309 views

How to assign grades to proofs: what do(es) the literature/experts suggest?

I am teaching an introductory course on proofs in mathematics in a mid-size American public university, and trying to develop some kind of consistent grading meta-scheme for grading proofs. I am ...
7
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2answers
310 views

How to mark student's answer, when you realize that he/she just memorized the answer?

I'm currently teaching "Real Analysis I". I took a midterm exam and one of the questions was to show that there is a unique positive number $r\in\Bbb{R}$ so that $r^2=17$. One of the students tried to ...
12
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2answers
478 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 ...
18
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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". ...
10
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2answers
309 views

Grading Computations vs. Grading Proofs: Is there a difference?

For many years, I've been an instructor for lower level undergraduate math classes (precalculus through calculus III). During that time, I've noticed that the vast majority of problems I assigned ...
7
votes
1answer
237 views

How can we prevent students who are “doing okay” from slipping?

For the purposes of this question, assume that you have a student who is aiming for a B in an introductory calculus or college algebra course but plans to take many more math classes after this. Most ...