Questions tagged [homework]

For questions concerning homework, such as good problems for specific topics, amount and difficulty of homework, grading homework, cheating

Filter by
Sorted by
Tagged with
85 votes
13 answers
10k views

How to assign homework when answers are freely available or attainable online?

I find that making homework meaningful is becoming increasingly challenging. Let us suppose that I am planning for next semester's first-semester or second-semester calculus course at my university. ...
user avatar
60 votes
4 answers
5k 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 ...
user avatar
  • 842
33 votes
4 answers
2k views

Are there any benefits to having an entire course's homework problems available from day one?

I am designing a course for the upcoming fall semester, and I am tossing around an idea in my head. While planning which topics to cover each week and how to set the pacing of the course, I figured I ...
user avatar
30 votes
10 answers
10k views

Is this homework problem on counting triangles within a 4x4 grid too vague?

My six-year old daughter was given this maths problem for her homework: Given a regular square grid of 4 × 4 dots, how many different triangles with one dot in the middle can you draw? We were ...
user avatar
  • 1,317
22 votes
8 answers
909 views

Is it good to have solutions of homework published?

At a course at the university, the students have to do homeworks every week which will be graded and discussed in exercise groups. Is it a good idea to put "official" solutions of the homework on ...
user avatar
  • 9,096
21 votes
7 answers
835 views

How to give homework for integration techniques?

When I was a freshman in Mathematics we learned the usual integration techniques (lots of standard integrals, integration by parts, substitution, partial fractions,…). As homework we simple got a ...
user avatar
  • 2,932
19 votes
4 answers
2k views

Students' Messy Sheets: The Big Problem of Exams and Homeworks

Students' messy exam and homework sheets (which are messy because of a bad handwriting or an irregular logical argument in proofs) cause many serious problems. e.g. Reading their arguments takes ...
user avatar
19 votes
5 answers
366 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 ...
user avatar
19 votes
8 answers
7k views

What's a good policy for accepting late homework?

There are a lot of ways of handling late homework submissions, of which I've only tried a few. The general policy I've settled on is something like the following. Homework must be submitted at the ...
user avatar
19 votes
3 answers
1k views

What are the minimum criteria when checking homework for completion only?

I know that some instructors collect homework and "grade that on the basis of completion" (e.g., item #2 on this answer). In fact, I tried this myself for several years, based on advice from my mentor ...
user avatar
18 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 ...
user avatar
  • 9,096
18 votes
1 answer
2k views

How much time to spend on a single question?

When I was self-studying as an undergraduate, I would spend up to two weeks working on a single problem or trying to understand a proof in Rudin's Principles of Mathematical Analysis. I realize now ...
user avatar
  • 283
18 votes
5 answers
373 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 ...
user avatar
16 votes
7 answers
3k views

Motivating students to take homework seriously without grades

Next semester I'm teaching a course where I want to grade a significant chunk of the homework for completeness without checking whether the answers are right, and separately post the answers and ...
user avatar
16 votes
5 answers
2k views

Overload of Calculus homework assignments

I am a new calculus teacher in a high school for gifted students. I am the youngest teacher, I am not in my home country, and this country particularly values age and experience, so I have little room ...
user avatar
  • 1,341
16 votes
4 answers
504 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 ...
user avatar
16 votes
4 answers
585 views

Is extra credit appropriate?

It is very tempting to assign extra credit problems that are (a) substantially more difficult than others on the problem set, (b) ask for the history of something we discussed in class, or (c) are ...
user avatar
15 votes
4 answers
533 views

When Euclid was used as a textbook, what exercises did students do?

Until fairly recently, it was common for students in school to learn Euclidean geometry from a translation of Euclid. I get the impression that ca. 1700 this would have been in college and only for a ...
user avatar
14 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 ...
user avatar
14 votes
2 answers
748 views

How is calculus possible in a small number of very long class periods?

This summer, I am teaching 8-week calculus courses that meet a total of 16 times in 210 minute class periods. This sounds insane to me since Return of the King is only 201 minutes long, but it is the ...
user avatar
  • 19.1k
14 votes
3 answers
332 views

Research/Anecdotes supporting WebWork, MyMathLab and other computerized, immediate feedback HW

When I was a student in college (very recently), my college had implemented a program called WebWork to give immediate feedback on homework problems. Other systems like MyMathLab exist as well. ...
user avatar
  • 3,507
14 votes
1 answer
383 views

How to deal with students copying?

In university courses with compulsory homework, I quite often find students copying their work from others. Now, you can simply ignore this since they are responsible for their learning. If not, ...
user avatar
  • 4,723
13 votes
3 answers
436 views

Worksheet: Homology in Intro Lin Al

I am about to start grad school and I am trying to think seriously about teaching [you know, before I get swamped with my own coursework]. I wrote a hypothetical worksheet for an introductory linear ...
user avatar
13 votes
4 answers
382 views

Collaboration on math homework assignments?

There is considerable evidence that pair programming, when executed properly, both increases the accuracy of the code produced and enhances the learning of both participants. I wonder if anyone has ...
user avatar
13 votes
3 answers
275 views

How to keep track of your old exercises in a heavy proof based course?

In a typical course (proof-based, for the context of this question) I have about 50 exercises that I might want to use when I teach the course again. Each exercise might be used in the same way as ...
user avatar
  • 9,096
13 votes
3 answers
272 views

Reusing homework exercises from previous terms

I am teaching a course for sophomore-level math majors this quarter, and next quarter, I'll be teaching the same thing. I haven't been in this situation before, and I'm wondering to what degree I can ...
user avatar
  • 131
13 votes
2 answers
885 views

online homework vs paper homework

Some professors assign online homework in lower level courses, such as through services like WeBWorK or WebAssign. Online homework has some clear advantages for instructors. However, in my experience, ...
user avatar
13 votes
3 answers
193 views

How to effectively run large exercise groups?

The Question Quite often one is faced with the task of running a large exercise group (think 40+ students in the room). What are some strategies to make the most of the (limited) time for the students?...
user avatar
  • 2,671
13 votes
3 answers
259 views

Quizzes (with questions known in advance) instead of homework in a graduate mathematics class. Good Idea or Bad Idea? Pros and Cons?

I'm teaching a graduate course in mathematics next semester. I'm planning to have a midterm and a final exam. But I'm thinking about having weekly (or once-every-two-weeks) in-class quizzes instead of ...
user avatar
12 votes
4 answers
729 views

Is it morally acceptable to complete math homework with a program oneself has written?

I've been trying to introduce my younger sister to programming, and one of the things I said was basically that once you know how to program, you can have a computer solve equations for you as long as ...
user avatar
  • 123
12 votes
2 answers
266 views

Assigning students to write solution sets

Next year, I will be teaching a very challenging second year "multivariable calculus and calculus on manifolds" course, and will assign a large number of difficult problem sets. I am thinking of ...
user avatar
12 votes
2 answers
186 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 ...
user avatar
  • 1,390
11 votes
4 answers
737 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 ...
user avatar
11 votes
1 answer
358 views

How cheating on homework affects student questions

I am teaching Calculus 2 and 3 this semester from a common text, and a significant number of my students are handing in perfect homework assignments that are clearly copied from Chegg, et al. As ...
user avatar
  • 1,049
11 votes
2 answers
838 views

Middle / High School Math Teachers and LaTeX

All of the middle and high school math educators I´ve encountered choose not to use LaTeX in preparing their documents or presentations. I would assume that most of them had to use the program in the ...
user avatar
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-...
user avatar
  • 189
10 votes
5 answers
2k views

Advantages on repeating question in student's answer

I see a lot of students who repeat the whole question (i.e., before starting with anything which has some content, they write down all assumptions, claims, etc.) in their answers in homework or exams. ...
user avatar
  • 9,096
10 votes
4 answers
278 views

Problems sets for instruction

What resources are available for any grade level K- 12 that are aligned with the Common Core Mathematics Standards and Mathematical Practices that have sets of problems or problem banks that can be ...
user avatar
  • 161
10 votes
4 answers
427 views

Effective Method for Reviewing Homework in Class

I teach algebra at a community college. I assign homework which counts for 2 points. After going over the HW, I give the students a quiz (worth 20 points) with problems similar to the HW. I spend ...
user avatar
  • 345
9 votes
2 answers
227 views

Generating system of equations with unique solutions

I have a similar problem addressed in System of Equations Generator. What I need is an automatic way of generating a system of equations with unique solutions, but the equations are not exclusively ...
user avatar
  • 191
9 votes
2 answers
2k views

How does a take-home exam differ from a homework assignment?

I've taught several upper-level courses recently, and have considered giving take-home exams to reduce the time pressure in the classroom. However, their homework already consists of proving various ...
user avatar
9 votes
2 answers
609 views

What's the point of exercises without answers?

What is the point of exercises for which answers aren't provided? (That is to say, what is the pedagogical justification for such exercises? - Edit by someone other than original poster.) Commentary ...
user avatar
  • 207
8 votes
4 answers
300 views

Is it convenient to classify problem by level of difficulty?

When leaving homework to students, should we state that there is an excercise with a special level of difficulty? I have seen this done in a lot of physics books, and some books on mathematics have ...
user avatar
8 votes
1 answer
123 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 ...
user avatar
  • 81
8 votes
1 answer
437 views

Is there a repository with K-12 math exercises and problems written in LaTeX (English or Spanish)?

I've been searching for a repository or a database with math problems (K-12 levels) written in LaTeX, but with no luck. Neither in Spanish (my student's language) ...
user avatar
  • 519
7 votes
3 answers
361 views

Is it appropriate to assign an extra credit homework question on the "next" session?

I am a new teacher teaching mathematics (College Algebra, Calculus, etc.) in a college. My wife has made an interesting suggestion that I would like to have a discussion here: Is it appropriate to ...
user avatar
  • 4,015
7 votes
2 answers
280 views

Do any tools exist that convert "pretty print" equations into "inline text" equations?

Context: I am an assistant professor of mathematics at a small school in the US. Many of my courses have homework assignments administered by WeBWorK. A small minority of students struggle mightily (...
user avatar
  • 1,049
7 votes
2 answers
258 views

Ethics of looking at other proofs before submitting work

I am in my third year of undergraduate math, and now that classes are becoming more proof-based, many of my homework questions are proofs of relatively basic concepts that can be found with a quick ...
user avatar
  • 173
7 votes
1 answer
326 views

Asking for Final Drafts of Homework

I'm planning to ask my students (first-year college calculus) to turn in some problems in a "final draft" form: rewritten from scratch, in linear order, with exactly the necessary steps included. I ...
user avatar
7 votes
1 answer
193 views

Where can I find example of Lagrange multipliers and constrained optimization?

I want give some extra homework about Lagrange multipliers and constrained optimization. I am interested in examples that are complex (for example, those having more than two variables and more than ...
user avatar
  • 623