How Often Should I Practice Math?

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Discussion Overview

The discussion revolves around the frequency and nature of math practice necessary to achieve mastery. Participants explore various approaches to practicing math, including the balance between hours spent and the number of problems solved, as well as the integration of math into daily life.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants suggest that mastery requires not just practice but a lifestyle commitment to mathematics, as indicated by the phrase "you must live it."
  • There is a viewpoint that the frequency of practice is subjective and should continue until one feels at ease with the material.
  • One participant emphasizes that for those aiming to compete at high levels, constant practice is necessary, though this may not be healthy for overall well-being.
  • Another participant expresses a desire to practice daily to ensure adequate preparation for future studies in physics and mathematics.
  • Concerns are raised about the potential negative effects of excessive focus on work without balance, with references to personal experiences of burnout.
  • A participant shares a rigorous daily study routine, indicating that they find enjoyment in their extensive practice and study schedule.
  • There is a notion that mathematicians often think about problems continuously, even outside of formal study times, suggesting a pervasive engagement with the subject.

Areas of Agreement / Disagreement

Participants express a range of views on how often one should practice math, with no clear consensus. Some advocate for daily practice, while others highlight the importance of balance and the subjective nature of "too much" practice.

Contextual Notes

Participants mention various levels of mathematical study, from basic levels to aspirations of becoming mathematicians or engaging in research, which may influence their perspectives on practice frequency.

M83
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This probably varies on an individual basis, but generally speaking how often should I practice math in order to achieve a mastery level of it? Is it number of hours? Number of problems? A combination of both? Thanks for any feedback.
 
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M83 said:
This probably varies on an individual basis, but generally speaking how often should I practice math in order to achieve a mastery level of it? Is it number of hours? Number of problems? A combination of both? Thanks for any feedback.



In order to aspire reasonably to master mathematics you can't limit yourself to "practice" it: you must live it.

DonAntonio
 
DonAntonio said:
In order to aspire reasonably to master mathematics you can't limit yourself to "practice" it: you must live it.

DonAntonio

Could you expand on that?
 
M83 said:
This probably varies on an individual basis, but generally speaking how often should I practice math in order to achieve a mastery level of it? Is it number of hours? Number of problems? A combination of both? Thanks for any feedback.

Often is just too subjective. You should continue to do practice problems until you feel completely at ease. What level of mathematics are you dealing with anyway?
 
if you want to do research and compete with the best on a national or international level, you must do it basically all the time. based on your own expectations, you can extrapolate backwards from there.But it isn't good for you on any other level as a human being. so what to do ?
 
mathwonk said:
But it isn't good for you on any other level as a human being.

Wait. It's not? :cry::cry:
 
USN2ENG said:
What level of mathematics are you dealing with anyway?

I'm still at the basic levels. I'll be starting Precalculus this summer and then Calculus 1 in the fall. I'm going to major in Physics.

mathwonk said:
if you want to do research and compete with the best on a national or international level, you must do it basically all the time. based on your own expectations, you can extrapolate backwards from there.

My goal is to get into research so I don't mind practicing every day, but I want to make sure I'm not practicing too little.
 
M83 said:
I'm still at the basic levels. I'll be starting Precalculus this summer and then Calculus 1 in the fall. I'm going to major in Physics.



My goal is to get into research so I don't mind practicing every day, but I want to make sure I'm not practicing too little.

If you want to make sure you're not practicing too little, then practice every day.
 
i could be wrong, and frequently am. but "all work and no play..." as they used to try to tell me.

i am pretty sure all work and no play, as well as all play and no work, cause problems. (I speak from experience.)
 
  • #10
mathwonk said:
i am pretty sure all work and no play, as well as all play and no work, cause problems. (I speak from experience.)

I find myself fluctuating between these two extremes, unfortunately.
 
  • #11
I recently had to end my career as a software developer because the excessive typing damaged the tendons in my hands. I'm currently living with my folks as a result, and so the majority of my time is spent studying math and physics so that I can catch up with people in my age group (who are ahead of me on account of my having "wasted" so much time on software engineering).

So, my current routine is such that I wake up in the morning and do math exercises from my textbooks, straight out of bed. By around noon I've usually learned something new and complicated enough that's it's worth writing a few pages of notes on, so I go ahead and write for an hour or two. Then I do more exercises, or I do some reading if necessary to get to yet more exercises. By around 7pm or 8pm I start to get a bit sleepy, and so I crawl into bed and do some non-technical reading, usually history books, and usually history of mathematics books in particular. I get to sleep at around 10pm and then get up at 6am to repeat the whole study schedule all over again, ad infinitum, or until my folks kick me out :-p

I also have a girlfriend from a nearby college who I go out with a few times per week, so I'm not a total shut-in (though I have embarrassingly little social life outside of just her). But by and large my life since having moved back home has been all studying, basically all of the time. I don't think there's anything like "too much" if you really enjoy it.

Like DonAntonio said, "live it" :-)
 
  • #12
I am also intending to become a mathematician and there is almost always some mathematical problem or concept which is lingering in the back of my mind. So 'all the time' is actually a more serious answer than at first it might appear. I wouldn't be able to count the number of times that I've come upon the solution to a proof while in the shower or driving somewhere or just sitting idly waiting for someone.

I get the impression that mathematicians spend the majority of their time confused about something or other, so there is always something to think about, mathwonk could probably confirm this.
 
  • #13
Poopsilon said:
I get the impression that mathematicians spend the majority of their time confused about something or other, so there is always something to think about, mathwonk could probably confirm this.

Excellent way of putting it, agreed! :-)
 

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