Why do I solve homework problems faster when typing them out on forums?

  • Thread starter Thread starter WiFO215
  • Start date Start date
Click For Summary
SUMMARY

Typing out homework problems on forums significantly enhances problem-solving capabilities. Participants consistently report that articulating their thoughts while explaining a problem leads to sudden realizations and solutions. This phenomenon is attributed to the cognitive process of clarifying the problem, which aids in understanding. The act of teaching or explaining a concept to others reinforces comprehension and often reveals overlooked errors.

PREREQUISITES
  • Understanding of cognitive processes related to problem-solving.
  • Familiarity with the concept of teaching as a learning tool.
  • Basic knowledge of mathematical functions and matrices.
  • Experience with online forums and collaborative problem-solving.
NEXT STEPS
  • Research cognitive psychology principles related to problem-solving and learning.
  • Explore techniques for effective teaching and explanation of complex concepts.
  • Study mathematical functions, particularly non-linear functions and their applications.
  • Investigate the impact of collaborative learning environments on comprehension and retention.
USEFUL FOR

Students, educators, mathematicians, and anyone involved in problem-solving who seeks to enhance their understanding through explanation and collaboration.

WiFO215
Messages
416
Reaction score
1
This has happened a lot of times and I was wondering if it happened only to me : I start typing on the forums a homework problem that I am not able to solve and then when I start typing it out, I suddenly can connect the dots or see an obvious error that I didn't see before. And then *snap snap* the problem is solved. Happens so many times. I'd have spent hours on paper and to no avail. And then when I type it out here to explain to the reader what I have done and how I got there, I'm done. I can't do the same thing when I try it without the computer.
 
Mathematics news on Phys.org
anirudh215 said:
This has happened a lot of times and I was wondering if it happened only to me : I start typing on the forums a homework problem that I am not able to solve and then when I start typing it out, I suddenly can connect the dots or see an obvious error that I didn't see before. And then *snap snap* the problem is solved. Happens so many times. I'd have spent hours on paper and to no avail. And then when I type it out here to explain to the reader what I have done and how I got there, I'm done. I can't do the same thing when I try it without the computer.

I have heard that teaching a subject often makes it easier to understand; that there is something about the process of explaining something to another person which seems to make things click into place. Maybe this is something similar?
 
Hi anirudh215! :smile:

Yup, lots of members type out a question, and then finish it with "oh, now I've typed it out I can see how to do it!".

And even more just delete their first post completely, and substitute "never mind …"

I guess that the discipline of having to state the problem clearly is what does it! :wink:
 
Possible SA. Quite possible. I state the problem to myself clearly T-T. The problem is that I feel like I'm drawing a blank half-way across the problem - I come here - I just seem to understand it better when I type it here thinking to myself "I need to tell them as much as possible about how much I've solved and what I understand of the problem so that they can help properly" and it ends up with "D'oh!". Almost EVERY time.
 
TheStatutoryApe said:
I have heard that teaching a subject often makes it easier to understand; that there is something about the process of explaining something to another person which seems to make things click into place. Maybe this is something similar?

Conversely, I've always heard and really seen that if you can't explain it to someone, you don't know it!
 
I read the definition that an n-linear function is function, when operated on a matrix, operates such that it operates only on 1 row with the other rows held fixed. What I don't understand is this : Say D is my n-linear function. A is an nxn matrix with rows A1, A2...An.

D[Ai] = A(i,i).

Then D[A] = D[A1, A2,.. An] = (by definition, it operates on one row with others held fixed.

Happened again! This is what I had typed out, halfway through explaining/typing what I didn't get and it hit me. Not even edited. Just halfway through typing a message. Something about this website that makes everything seem obvious all of a sudden.
 
Writing what you know about a problem down helps you get your head around a problem. With complex problems, mainly mathmatical ones, there comes a point where even simply working out the concepts behind it in your head becomes incredibly difficult (for me at least).

For advanced topics, in my experience, understanding the concepts behind the problem is far more difficult than actually solving it, so once you get the hang of it, the rest just falls into place.
 
I was just going to post about a website that I was sure was wrong. As I wrote out the explanation, I saw what I was missing. It's funny because I would have just blindly believed that I was right if I hadn't tried to explain it.
 
The next time I am having money problems, I am definitely going to post here! :biggrin:
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
Replies
5
Views
2K
  • · Replies 65 ·
3
Replies
65
Views
8K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 35 ·
2
Replies
35
Views
5K
  • · Replies 35 ·
2
Replies
35
Views
4K
  • · Replies 26 ·
Replies
26
Views
4K