Dreaming About Math - How It Helps Me Solve Problems

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SUMMARY

This discussion explores the phenomenon of dreaming about math problems, highlighting personal experiences of users who find clarity and problem-solving abilities enhanced during sleep. Participants share anecdotes of solving complex problems in dreams, such as proving Fermat's Last Theorem and engaging in mathematical debates. The conversation emphasizes the unique cognitive processes that occur during sleep, particularly in relation to mathematics, and how these dreams can lead to breakthroughs in understanding challenging concepts.

PREREQUISITES
  • Basic understanding of mathematical concepts and problem-solving techniques.
  • Familiarity with Fermat's Last Theorem and its implications in mathematics.
  • Knowledge of mathematical structures such as anti-symmetric matrices and closed intervals in R.
  • Awareness of cognitive psychology related to dreaming and learning.
NEXT STEPS
  • Research the cognitive benefits of sleep on problem-solving, particularly in mathematics.
  • Explore the implications of dreaming in mathematical learning and creativity.
  • Investigate the relationship between sleep and memory consolidation in complex subjects.
  • Study advanced mathematical concepts such as topology and elliptic curves.
USEFUL FOR

Mathematicians, educators, students, and anyone interested in the intersection of cognitive science and mathematics, particularly those exploring innovative learning techniques and problem-solving strategies.

Square1
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I find it strange that I would experience this and that I would be the one out of everyone to start asking around since I've mentioned in previous posts that I am rather math handicapped...

Yea. So in late elementary and early junior high was the first time this happened. I would start dreaming about math problems on the topic of recent material. Even back then when I hated math I remember the instances when I did dream about it, I enjoyed it. I enjoyed it because my head was so clear to think about things unlike during the day where is just so difficult to focus on the stuff.

I still sometimes dream about math but in more detail than I used to. I used to just think about subjects in my sleep, now I THINK (from what I can remember from the dreams :) ) I am beginning to try and solve problems as supposed to just thinking about concepts.

I've also noticed that sometimes, if I struggle with s problem, even for an hour because I am at a silly roadblock of some sort that I can't immediately see, the moment I climb into bed my mind also clears. I can visualize my paper so well and step by step go through a problem much more calmly and the result is that I solve it in a minute, compared to the hour I just spent on it (this just happened yesterday and so it gave me the push to post about it here lol )

Im sure there are many like me here in some regard. What have you learned from this behaviour? Has it helped you figure out what kind of learning works good/bad? Share what you can!
 
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This has happened to me before , strange new symbols and logic would be introduced into my dreams , often I try to remember but I seldom succeed at it.
 
I proved Fermat's Last Theorem in my sleep but the margin was too small.
 
That sort of thing used to happen to me all the time until I took an arrow in the knee...
 
This happens to me a lot- it often keeps me awake if I have a very tantalising maths problem to solve. But then when I try and write down what I've just been thinking in bed I usually realize that what I'd just been thinking makes absolutely no sense.
 
i dreamed the other night that everyone i knew was an anti-symmetric matrix. i kept warning them that their diagonals were all 0, but they paid me no heed.
 
Deveno said:
i dreamed the other night that everyone i knew was an anti-symmetric matrix. i kept warning them that their diagonals were all 0, but they paid me no heed.

That's a skewed vision of reality :biggrin:
 
I wish I could dream about math, sounds really fun haha
 
I like this comment very very much:
jhae2.718 said:
I proved Fermat's Last Theorem in my sleep but the margin was too small.
Elliptic curves man, crazy stuff to dream about.
 
  • #10
jhae2.718 said:
I proved Fermat's Last Theorem in my sleep but the margin was too small.

I see what you did there.
 
  • #11
I dreamed that my girlfriend and I got into a huge argument because she was claiming closed intervals in R weren't compact.
 
  • #12
Samuelb88 said:
I dreamed that my girlfriend and I got into a huge argument because she was claiming closed intervals in R weren't compact.

Did you ask her what topology she worked with??
 
  • #13
micromass said:
Did you ask her what topology she worked with??

^Brilliant! I like it^

Also, +1 for having a girlfriend with whom it is not unreasonable to talk about math!
 
  • #14
RadiantL said:
I wish I could dream about math, sounds really fun haha

I used to be an adventurer like you...
 
  • #15
clanijos said:
^Brilliant! I like it^

Also, +1 for having a girlfriend with whom it is not unreasonable to talk about math!

It was still a dream. :wink:
 
  • #16
I dreamed about math in graduate school a few times but it was always repetitive attempts to apply the same dumb, wrong techniques.
 

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