Questions tagged [homework]

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

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1 answer
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When teaching an upper-level proof based course, what criteria do you use to determine which and how many problems to assign?

When teaching an upper-level proof based course, what criteria do you use to determine which and how many problems to assign? And, as a corollary question: How do you determine the level of success ...
0 votes
2 answers
129 views

In what ways could or couldn't having students do homework in $\LaTeX$ for extra credit be helpful for them at the college level? High school level? [duplicate]

Do you think having students turn in homework in $\LaTeX$ say for extra credit is helpful for them at the college level? At the high school level? There could also be a few assignments that have to be ...
4 votes
1 answer
458 views

Mental Health in Mathematics

I am not sure if my question is relative to this meta but I still want to put forth my thoughts and concerns and questions because I think its not just me but others too who have similar issues. My ...
5 votes
1 answer
481 views

Homework in a Flipped Classroom

I'm in the middle of teaching first-semester Calculus where, for the first time, I'm trying to implement a flipped classroom. (Background: Small university in U.S.; Calc 1 for STEM majors, 50 minute ...
37 votes
5 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 ...
23 votes
9 answers
1k 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 ...
6 votes
3 answers
717 views

Should we use quizzes to replace homeworks?

I posted a question regarding what to do when students have done poorly in a mid-term exam. One suggestion I got is to use frequent tests to reduce the risk of one poorly designed exam. Then I did a ...
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 ...
1 vote
2 answers
415 views

Should I do all the proof practice problems in How to Prove It, an intro to proofs book?

Like the title says. I am self studying intro to proofs(How to prove it by velleman) so I can start an introduction to analysis. I am wondering if I should complete all the exercises in the textbook(...
6 votes
1 answer
140 views

Students reliant on answers provided, but not their own reasoning?

Evidence suggests that even instructional approaches that produce conceptual gains may leave students reliant and expecting to be reliant on guidance from instructors (Redish et al., 1998). Students ...
7 votes
2 answers
460 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 (...
2 votes
1 answer
67 views

Setting up a new Ximera course with randomized values in problems

I'm working on converting a course to make it free to the students, and I'm considering using Ximera. What I haven't found online is documentation for/information on tips and best practices for ...
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 ...
88 votes
13 answers
11k 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. ...
9 votes
2 answers
281 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 ...
1 vote
2 answers
259 views

Workbooks for advanced high school math topics

I'm looking for advanced workbooks and exercises for working in class (math high school/undergraduate level) covering the following topics (or some of them): Logic and sets (propositional calculus, ...
4 votes
0 answers
142 views

Ideal Features of Online Homework Platform?

If you could build an ideal online homework platform for mathematics, what combination of features should it have in order to be effective at levels from high school through undergraduate, and why? ...
19 votes
5 answers
394 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 ...
15 votes
4 answers
919 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 ...
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-...
2 votes
2 answers
128 views

Multiple extra credit questions in a homework set

Extra credit questions sometimes motivate students to study more. Occasionally I find several valuable questions which are all good as extra credit question choices but I have to limit the number of ...
7 votes
1 answer
214 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 ...
13 votes
4 answers
429 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 ...
3 votes
1 answer
356 views

Desmos Assignment: Make a graph that does this

I am interested in collecting/creating a compendium of lesson plans that are essentially just this. Lesson Plan: Appropriate for a precalc class and an algebra 2 course. Show the following graph: ...
9 votes
2 answers
749 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 ...
4 votes
0 answers
176 views

The art of designing of problem sets

For proof-based math courses, the gist of the learning happens in problem sets and so it is essential to design them well. We would appreciate responses containing references (eg. from active learning)...
4 votes
2 answers
769 views

Selected Exercise for Linear Algebra Done Right Edition 3 [closed]

I am self learning the book Linear Algebra Done Right. I tried to complete all exercises in each chapter. I am currently at Chapter 3 and found that it is not feasible to complete all of the exercises....
17 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 ...
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 ...
6 votes
4 answers
260 views

Automatically creating homework worksheets from textbook problems

This semester I am a TA for a Calc 2 course. At my first meeting with my instructor, he mentioned in passing that "Homework is always easier than an exam, because homework questions come from the ...
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
4 answers
494 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 ...
13 votes
3 answers
298 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 ...
3 votes
2 answers
272 views

Supplemental text for undergraduate real analysis

Context: I am an assistant professor at a small college in the US. Next semester I am teaching real analysis for the first time, and we are using Steven R. Lay's book. (It also happens to be the ...
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 ...
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 ...
17 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 ...
19 votes
5 answers
401 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 ...
11 votes
1 answer
400 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 ...
22 votes
7 answers
916 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 ...
6 votes
3 answers
569 views

What are good solar eclipse questions/projects for students?

I'd like to hear some ideas for problems or projects related to this summer's solar eclipse, in particular for the high school or undergrad level (algebra through calculus).
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 ...
5 votes
0 answers
136 views

Math.stackexchange and Homework [duplicate]

The grading scheme of almost all of the mathematics courses in my university is such that a substantial amount (e.g., $ \geq 20 \ \text{percent}$) of a student's grade is based on homework assignments....
31 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 ...
20 votes
4 answers
3k 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 ...
8 votes
2 answers
268 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 ...
12 votes
2 answers
207 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 ...
7 votes
3 answers
373 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 ...
13 votes
3 answers
306 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 ...
14 votes
3 answers
356 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. ...