Questions tagged [problem-solving]
For questions related to creating, categorizing and identifying appropriate problems as well as the benefits of problem solving and related pedagogy including motivation.
63 questions
13 votes
4 answers
4k views
How practically useful is the Law of Sines?
Does anyone have any good practical applications or theoretical extensions for the Law of Sines? I always struggle when trying to present this topic to students because it seems to just come out of ...
- 539
-1 votes
2 answers
170 views
Book on Mathematical Problem-Solving Techniques
I'm looking for books that present, discuss, and provide accessible examples of mathematical problem-solving techniques, such as: Dividing complex problems into smaller parts (Decomposition), ...
- 2,652
2 votes
2 answers
1k views
On how to produce videos like this one [duplicate]
I wonder how can one produce (basic perhaps) videos like this one https://www.youtube.com/watch?v=B_0x6mUQ204 Is that some kind of tablet or device that offers users the ability to do so, or is it ...
- 23
3 votes
3 answers
413 views
Question on implementation of PBL (problem or project-based learning) in Linear Algebra course
I am trying to implement some version of a Project or Problem-Based Learning methodology (which I will just refer to as "PBL"[1]) in Linear Algebra and I am not sure how classes are ...
- 779
15 votes
1 answer
226 views
Having students assess what problems they're ready for
Does anyone have experience with giving students a collection of problems where they have to assess which ones they have the knowledge to solve? I was exploring the connection between video games and ...
- 5,150
4 votes
1 answer
615 views
Problem of the Week for College Students
Trinity's Problem of the Week and Purdue's Problem of the Week were both weekly problems that were excellent for college math clubs to tangle with at their weekly meetings. However, both of them are ...
- 49
1 vote
2 answers
509 views
What will happen if someone doesn’t make it to the IMO team?
I am highly interested in mathematics, and solving Olympiad maths problems has been a type of hobby for me. But due to my age, I will never be able to give the olympiads a go again. I want to know ...
- 231
-1 votes
1 answer
142 views
Why do problems should be solved by pen and paper before coding? [closed]
I heard that before you can handle data automatically, you have to know how to handle it manually. Why is it impossible to find a problem and build some machine learning algorithm to find a proper ...
- 17
6 votes
1 answer
646 views
Theory-practice order vs practice-theory
I heard that there were some studies on what is the best order for teaching math. But I cannot find any papers (probably my English is too poor to google this paper correctly). As I heard idea was: ...
-2 votes
1 answer
132 views
On doing scientific research [closed]
What I want to ask is: can I use the results of others when doing scientific research, whether it is math, physics or other science, without trying to prove them myself or try to verify them? For ...
- 169
-1 votes
1 answer
255 views
Learning, exams, math degree
I have only passed the one fourth of my courses so far, which means like one year of the maths undergraduate studies. I live in a different place from where the university i study at is and try to ...
- 169
1 vote
0 answers
138 views
Quality of a solution in mathematics
How can you determine a quality of a solution for a mathematics problem in general ? If you try to explain too much then solution becomes bit longer and it takes time to go through causing less ...
- 1,242
6 votes
1 answer
373 views
What are some ways that one can progress from stage 2 to stage 3 of the rigor stages that Terry Tao has described?
Terry Tao describes 3 stages of one's mathematics education on his web blog. 1: Pre-rigorous 2: Rigorous 3. Post-rigorous I know how one can progress from stage 1 to stage 2 (this simply can be done ...
- 181
-1 votes
1 answer
97 views
Problem solving or question answering
What can be the most appropriate way of asking , Solve the problem or answer the question ? As common usage in examinations we have question papers for all subjects. Therefore like in other subjects ...
- 1,242
0 votes
1 answer
139 views
Problem solving and independent scientific research [closed]
Is analogy a way to solve problems when doing research in math and physics? Is it very important?How important is it? Could i do independent scientific research on some open problems perhaps having ...
- 169