Training yourself to think mathematically (or visually)

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

This discussion centers on the cognitive differences between visual and mathematical thinkers, particularly in the context of learning chemistry and mathematics. Participants share personal experiences, highlighting that visual thinkers often struggle with abstract mathematical concepts, such as the Schrödinger equation, while mathematical thinkers may find visual concepts challenging. A common strategy for overcoming these hurdles is to engage in extensive practice with formulas and concepts, which helps develop intuition and mental imagery. The conversation emphasizes the importance of adapting learning techniques to individual thinking styles for better comprehension.

PREREQUISITES
  • Understanding of basic chemistry concepts, particularly organic and inorganic chemistry.
  • Familiarity with mathematical formulas, including the Schrödinger equation and algebraic expressions.
  • Knowledge of cognitive styles, specifically visual and mathematical thinking.
  • Experience with problem-solving techniques in mathematics and physics.
NEXT STEPS
  • Explore techniques for visualizing mathematical concepts, such as using diagrams or physical models.
  • Practice solving problems in physical chemistry to develop familiarity with complex formulas.
  • Investigate cognitive strategies for transitioning between visual and mathematical thinking.
  • Read "Mathematics: A Very Short Introduction" by Timothy Gowers to gain insights into abstract reasoning.
USEFUL FOR

Students and educators in chemistry and mathematics, cognitive scientists, and anyone interested in enhancing their understanding of different thinking styles and their impact on learning complex concepts.

  • #31
ahsanxr said:
Whats the difference between that and borrowing the book from the library? The writer isn't making any money either way.

Character is who you are when no one is looking... and if you don't know why character is important I suggest you think long and hard on the subject.
 
Physics news on Phys.org
  • #32
jambaugh said:
Character is who you are when no one is looking... and if you don't know why character is important I suggest you think long and hard on the subject.

The average cost of a textbook in the US is what an average person makes in a month back home. Poor students like me have to find alternative ways. I don't see how it has to do anything with character. There are those of us who go to the university bookstore and spend 5-600 dollars on brand new books on the first day of classes (my roommate), and then there are people like me who do what they can and buy used books, rent books, get them from the library and download books if the other options are not affordable/available.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
Replies
32
Views
1K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 19 ·
Replies
19
Views
3K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 43 ·
2
Replies
43
Views
8K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 33 ·
2
Replies
33
Views
9K
  • · Replies 18 ·
Replies
18
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K