Math Problem Solving: How Much Is Enough?

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SUMMARY

The discussion centers on the challenges of mastering mathematics problem-solving skills, particularly for students who enjoy theoretical concepts but struggle with calculations. The participant emphasizes the need for practice to improve speed and accuracy, suggesting that solving 10-12 difficult problems in 2 hours is a reasonable target for exam preparation. They highlight the importance of balancing practice with review time to enhance performance in college mathematics.

PREREQUISITES
  • Understanding of mathematical concepts and proofs
  • Familiarity with problem-solving techniques in mathematics
  • Experience with time management during exams
  • Basic knowledge of exam formats and expectations in mathematics
NEXT STEPS
  • Practice solving complex mathematical problems under timed conditions
  • Explore strategies for efficient problem-solving and calculation techniques
  • Review mathematical proofs to reinforce theoretical understanding
  • Investigate time management techniques specifically for mathematics exams
USEFUL FOR

Students studying mathematics, educators looking to improve teaching methods, and anyone seeking to enhance their problem-solving skills in a mathematical context.

mathsciguy
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When I study mathematics, I just do it leisurely and at my own pace. Over the course of my whole mathematics education, I've enjoyed learning the abstract ideas/concept in it, the problem is I'm a bit clumsy doing calculations. I can study and do proofs/concepts but practicing problem sets eats my focus big time and I get tired doing it. Now, I can enjoy reading and learning as much math as I want but I really need to brush up with my calculation/problem solving skills, as I'd rather have good grades in college (I tend to solve really slow) at the same time. The question is just how much practice is enough?
 
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Depends on the level you are trying to get to IMO.

The average exams I've had thus far indicate that you should be able to solve at least 10-12 more DIFFICULT problems (many steps) in the 3 hours provided. However, I would say you should be able to solve the 10-12 in 2 hours and have an hour for review--IMO, of course.
 
10-12 difficult problems in 2 hours might still be a little hard to pull of, considering that 'difficult' is something within the reach of my mathematical knowledge. That is to say I just have to know when to throw in those knowledge for the given problems. I guess I just have to do as much as I can.
 

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