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

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Discussion Overview

The discussion revolves around the phenomenon of individuals solving homework problems more effectively when typing them out on forums. Participants explore the cognitive processes involved in articulating problems and the potential benefits of explaining concepts to others, particularly in the context of mathematics and complex topics.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants note that typing out a problem often leads to sudden realizations or corrections that were not apparent before, suggesting a cognitive benefit to the act of writing.
  • There is a suggestion that the process of explaining a problem to others can facilitate understanding, as some participants relate this experience to the idea that teaching enhances comprehension.
  • One participant mentions that the discipline of clearly stating a problem may contribute to better understanding, indicating that the act of writing forces clarity.
  • Another participant shares a specific instance where typing out a mathematical explanation led to an epiphany about the problem, reinforcing the idea that the forum environment aids in problem-solving.
  • Some participants express that writing down thoughts can help organize their understanding, particularly in complex mathematical contexts, where conceptual clarity is crucial.

Areas of Agreement / Disagreement

Participants generally agree that articulating problems through writing can enhance understanding, but the exact mechanisms and reasons for this phenomenon remain open to interpretation and discussion. Multiple perspectives on the cognitive benefits of explaining concepts exist, with no consensus on a singular explanation.

Contextual Notes

Some participants reference personal experiences and anecdotal evidence, which may not be universally applicable. The discussion does not resolve the underlying cognitive processes involved in this phenomenon.

WiFO215
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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.
 
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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:
 

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