How Can Aspiring Mathematicians Develop Effective Study Habits?

[stgermaine]

Hi.

I am a second year math major here. I took calc III, linear algebra, and differential equations so far, and I realized that I don't have very good study habits.

I went to a public high school and I was smart enough to get by without developing good studying skills.
During the break, I tried to study ahead for this numerical methods class I'll be taking this semester, but I wasn't able to learn as much as I had wished.

If there are any successful (grad) students, post-docs, or educators out there, what are some study habits or advice that you can give to an aspiring mathematician?

Thanks!

 

[jedishrfu]

Practice tutor someone in a math subject that you know and notice how they ask questions or where they get hung up on a problem.

Then begin tutoring yourself, ask yourself questions and write them down and then try to find good answers for them. Studying is noticing the techniques used in solving problems, being able to reconstruct the solution from your knowledge looking for the best way to solve problems.

 

[chiro]

Hey stgermaine.

One piece of advice I have is don't be afraid to get involved if you need to.

Use all of your resources at your disposal including forums, textbooks, professors, lecturers, colleagues, friends and so on.

 

[Stephen Tashi]

If you don't spend much time studying, analyze how you do spend your time. Maybe that will tell you that you really want to do something besides become a mathematician.

Drill and understanding are two different things. You can understand a topic but not be able to do work its problems rapidly. If you had an easy time in high school, perhaps you never had to drill yourself.

 

[Matrix0]

I understand the importance of developing good study habits in order to excel in any subject, especially higher level maths. It is commendable that you have recognized the need for improvement in your study habits and are seeking advice from successful individuals in the field.

One piece of advice I can offer is to practice regularly and consistently. Mathematics is a subject that requires constant practice in order to fully understand and retain the concepts. Set aside dedicated study time each day to work through problems and review material. This will also help you identify any areas that you may need to focus on more.

Another helpful tip is to actively engage with the material. Don't just read through notes or textbooks passively, but actively work through problems and try to explain the concepts to yourself or others. This will not only help you understand the material better, but also improve your problem-solving skills.

Additionally, don't be afraid to seek help when needed. This could be from your professors, teaching assistants, or even fellow students. Collaborating and discussing problems with others can often lead to a deeper understanding of the material.

Finally, don't get discouraged if you struggle with certain concepts or topics. Mathematics can be challenging, but with persistence and dedication, you can overcome any difficulties. Keep practicing and seeking help when needed, and you will see improvement in your understanding and performance. Best of luck in your studies!