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Questions tagged [exercises]

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6
votes
4answers
328 views

Students understand during course but can't solve exam

I am teaching a math class where the students, most of them, tell me that they can understand the materials given by me during the course. I test them during the course too and they seem to get it. ...
6
votes
0answers
81 views

Questions similar to Wason Selection Task

The Wason Selection Task (described by Pete Clark here) is a great problem for getting students to grapple with all of the intricacies of logical implication. I will be teaching a discrete ...
4
votes
3answers
211 views

Could you recommend a book for studying calculus 1?

I would like to practice a large quantity of exercises from limit calculation, derivatives, sequences and series and finaly integrals.
4
votes
3answers
154 views

Are there any good exercises on point-slope form of a linear equation by itself?

Let's say we're running a basic algebra course and we're committed to showing proofs of everything we reasonably can. The development of equations of lines seems most straightforward in this sequence: ...
18
votes
8answers
746 views

Good Examples of Questions to have Students Ponder Over Without Paper

A few times now I've found myself in a situation where I want to give a precalculus-level undergraduate student something to think about that's kinda fun and that's well outside of their coursework. ...
8
votes
3answers
221 views

Is proof-based exercise-oriented math course without solution an effective way to teach pure math?

In recent years I have seen several courses in pure math in the undergrad level (year 2, 3, 4) such as real analysis and topology where the entire course consists of: notes written during the lecture ...
11
votes
2answers
242 views

Importance of exercises for learning mathematics

For me it seem to be obvious that exercises and exercise courses are important for undergraduates to learn mathematics and skills like finding a proof or writing it down. Was there any research ...
9
votes
3answers
386 views

How many problems do we have to do as undergraduate mathematicians in order to learn a subject?

I'm wondering how many problems are needed in order to learn a subject, let's say Calculus of Several Variables. We know that the professors often assign us a list of problems to solve as homework, ...
1
vote
0answers
60 views

How many problems do we have to do as undergraduate mathematicians in order to learn a subject? [duplicate]

I'm wondering how many problems are needed in order to learn a subject, let's say Calculus of Several Variables. We know that the professors often assign us a list of problems to solve as homework, ...
7
votes
1answer
301 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) ...
10
votes
1answer
159 views

Software to organize and track your exercises

I am math teacher in secondary school and I have a few thousands of mathematical exercises in many Microsoft Word files. I tried to organize them in folders and keep track of new exercises to update ...
12
votes
0answers
192 views

Exercises to go with Simon's “Representations of finite and compact groups”

I am teaching an independent-reading course from Simon's "Representations of finite and compact groups". I chose this book based on fond memories from a previous reading course in which I had ...
4
votes
1answer
330 views

Abandon all hope, ye who enter my office!

The sentence in the title is inspired by a sentence on the gate of hell in Dante Alighieri's masterwork Divine Comedy (Part I: Inferno). I usually write it on my office door after exams when I think ...