Questions tagged [exercises]
The exercises tag has no summary.
30 questions
2 votes
2 answers
656 views
List of statistics questions
I recently watched some Blackpenredpen YouTube videos on "100 Calculus Limits/Derivatives/Integrals (Parts 1 and 2)" and found them very helpful for refreshing my knowledge and learning new ...
- 29
42 votes
16 answers
17k views
How to give exercises when students can use ChatGPT
I tried some math exercises we will give to students and ChatGPT does really well answering these. It excels at proofs and often gives details that were not our the example solution, and makes some ...
- 526
-1 votes
3 answers
684 views
Why must most adults slog at exercises to improve at Math, but not driving that AI still can't automate?
Too many mature students ask why they need to toil at problems — like end of chapter questions in textbooks — to succeed at math. They contrast buckling to math exercises with lasting skills like ...
- 367
12 votes
8 answers
6k views
Why does math need to be practiced and exercised, when L1 Linguistic Competence is subconscious?
If 'linguistic knowledge is largely subconscious'3, why isn't math? Most math instructors sermonize solving exercises and problems. But a student challenged why students need practice — because most ...
user20427
2 votes
0 answers
142 views
Is there any way of explaining the Cayley/Beltrami–Klein metric to undergrads?
How to explain the Cayley-Klein or sometimes called Beltrami–Klein metric concept to find the distance between two points in a hyperbolic space to an audience with no higher education than maybe a ...
8 votes
3 answers
674 views
Simple combinatorics problems using division
I would like to introduce counting principles associated with each of the 4 basic operations (addition, subtraction, multiplication, and division) before introducing permutations and combinations in ...
- 26.7k
6 votes
2 answers
392 views
Effective Strategies for Helping Students Recognize Nonsensical Expressions? (HS - Undergrad Level)
I'm not entirely how best to pose this question, so that it fits within the guidelines (so edits / suggestions for modification are warmly welcome). I'm interested in exploring effective strategies ...
- 229
5 votes
2 answers
303 views
How can I encourage students to show up for exercise classes?
I am doing a maths PhD and naturally that involves leading exercise classes for undergraduate students. The idea is that the students just show up and work through the problem set and I'm there to ...
- 151
14 votes
0 answers
248 views
What studies exist, comparing the efficacy of exercise sheets with or without worked solutions?
I've been tutoring mathematics at university level for over 10 years, and one of the more common requests from students is worked solutions for sheets of exercises. Most educators I've worked with ...
- 241
0 votes
1 answer
96 views
Which grade students should be able to solve applied economy / business / profit prediction exercises?
I've designed a few applied problems with business analytics/money calculations. However, I'm not sure which age (or rather, which grade) are those best to introduce. on one hand, solution uses only +...
- 149
5 votes
0 answers
415 views
Self study curriculum for a working professional who is enthusiastic about mathematics
I had some mathematics education during my high school and Electrical Engineering studies, but I never used any of them during my career as a software professional. Now I am again coming across Linear ...
- 151
1 vote
0 answers
115 views
Exercises for explaning homothety, homothetic center, similarity on line and plane, free vector and vector space
I need the collection of exercises for such topics as: maps and transformations, composition of maps homothety, rotation homothety, homothetic center similarities of the line and the plane free ...
- 83
14 votes
6 answers
2k views
How much symbolic calculations before plugging in actual values?
My son is in high school (France, 2nde) and I was watching how he solves math exercices. This led me to the following question: when are students expected to plug in actual values in their ...
- 1,408
9 votes
2 answers
386 views
Exercise database
edit: Thanks for all your answers so far. I have decided to develop my own solution, both because it is fun and I can then form it exactly as I want to. Once I am done (which might take some time, ...
- 1,328
8 votes
3 answers
382 views
Solutions to exercises
I am teaching the exercise sessions for a 3rd year algebra course (intro to field theory, Galois theory and Algebraic geometry). The format of the course is as follows: for every 2 hour lecture by the ...
- 89