Fast Studying Techniques For Math

Agent11

Diamond Member
Jan 22, 2006
3,535
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I know there are several people much more skilled with math than I, anyone have any pearls of wisdom for conserving study time while yet retaining knowledge?

Tonight I will be studying all night, taking a math exam at 8:30, and a chemistry exam at 1:30.
 
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crashtestdummy

Platinum Member
Feb 18, 2010
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Well, my first piece of advice would have been to not pull an all-nighter right before the test. Math, especially at that more advanced levels, is really best learned by doing lots of problems. The more problems you do, the more you get used to the way you're being expected to speak the language.
 

Agent11

Diamond Member
Jan 22, 2006
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Well, right now cramming is having the best results for me. Maybe I should attempt to use algebraic formula to make daily tasks more productive. lol.
 

KMFJD

Lifer
Aug 11, 2005
31,713
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If you don't know it already, studying will not make a difference imho
 

captainslow

Member
Nov 1, 2013
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How do you think it went? My personal preference is to get to bed around 10 at latest for big tests the next day.
 

AViking

Platinum Member
Sep 12, 2013
2,264
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I know there are several people much more skilled with math than I, anyone have any pearls of wisdom for conserving study time while yet retaining knowledge?

Tonight I will be studying all night, taking a math exam at 8:30, and a chemistry exam at 1:30.

Last minute cram? Not a good way to learn math at all.

Do the problems over and over and over again. Get extra math books and do those problems over and over and over again.

Professors have tons of books. When they do a math test they grab problems from other books, change a number or two, and put it on the test. If you've studied and understood the concepts and have done math problems from multiple sources you're pretty much guaranteed to ace the exams.
 

inf1nity

Golden Member
Mar 12, 2013
1,181
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Well, right now cramming is having the best results for me. Maybe I should attempt to use algebraic formula to make daily tasks more productive. lol.

math/science can never be crammed. If you havent studied it for the whole year, it wont work now.

Speaking from personal experience.
 

sm625

Diamond Member
May 6, 2011
8,172
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By this time of year you should definitely have a good idea of how the test will be structured. You should be able to guess how many problems of each type there will be.
 

JManInPhoenix

Golden Member
Sep 25, 2013
1,500
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The key to math for me is repetitiveness. When I was in school, I did all of the homework problem twice to verify that I had the same answer each time (and if not, it helped to show where I made my errors). By doing this, I had no problem once the tests came around.
 

silicon

Senior member
Nov 27, 2004
886
1
81
The key to math for me is repetitiveness. When I was in school, I did all of the homework problem twice to verify that I had the same answer each time (and if not, it helped to show where I made my errors). By doing this, I had no problem once the tests came around.

i agree with this, practice practice practice is the only way for most. The brain needs time to develop the patterns and sequences in math, these are called engrams. Cramming may work if you are lucky and cover the exact material on the test but in general it is not likely to work. on the other hand math seems to come naturally to a few so maybe for them it will work.
 

DrPizza

Administrator Elite Member Goat Whisperer
Mar 5, 2001
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I don't see how cramming the night before a math exam will ultimately lead to understanding what you're doing. It's true that you can memorize/be able to solve similar problems out of repetition, but down the road, not understanding the underlying concepts is going to hinder your ability to learn more math.

AND, sometimes your ability to understand really depends on the math teacher. E.g., and I'll back up all the way to Algebra for this -
Sometimes students would learn a procedure for solving a relatively simple linear equation. First, they learn how to solve one step equations 2x=8, or x+3=5. Then, on to two step equations. 2x+6=12. Rarely at that point does a math teacher emphasize the concepts, rather than the procedure: Do unto one side that you do to the other. Ask students who have just recently passed algebra - heck, ask students who had 90+ averages in algebra if on the first step for 2x+6=12, they could divide both sides by 2. In my experience, many of those students would say, "no. You have to subtract the 6 first." For those students, math becomes less elegant, and more a matter of memorizing procedures; but for a rare few of those students, on their own, they gather the insight - the understanding of the underlying concepts that enable them to go on through mathematics effortlessly. Now, years later, give students the problem 2e^x+6=12, and watch how many of them take the natural log of both sides on the first step, simply because they've recently learned that the natural log is the inverse operation of e^x.

Anyway, OP, as said by silicon, understanding these concepts sometimes comes down to seeing the patterns via repetition.
 

Agent11

Diamond Member
Jan 22, 2006
3,535
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Got a C in math with a well written extra credit essay and an A in chemistry. I can do math, I just really don't like it. The fact that you are required to memorize things with little explanation besides the fact that it works goes counter to a fundamental aspect of my being. Or at least that is what I tell myself.
 
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shortylickens

No Lifer
Jul 15, 2003
80,287
17,080
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If you study the whole semester your test wont seem like a nightmare.

Cramming never worked for me and I am frightened by the fact people think it works for them. If you believe thats how you can get by in life you might be unpleasantly surprised one day.


Having said that, I like to watch math tutorials on Youtube. MANY grad students use videos as their projects. And theres probably more help online for mathematics than any other subject.
 

Agent11

Diamond Member
Jan 22, 2006
3,535
1
0
The problem being that I enjoy getting laid much more than studying math, path of least resistance then being to cram.
 

Kaido

Elite Member & Kitchen Overlord
Feb 14, 2004
50,154
6,398
136
I use this memorization technique:

http://www.johnplaceonline.com/study-smarter/how-to-memorize-anything/

It is time-consuming, but if you put in the effort, it works. And it is more efficient than staring at a page in a textbook for hours on end, trying to figure out how to remember everything. Some notes:

1. I recommend not being too tired. Eat some protein (i.e. beef jerky) if you need an energy boost. Memorization is 110% easier when you're not fighting off nodding off.

2. Memorization, like anything else, wears off. If you're seeking to keep the knowledge long-term, re-memorize it on intervals. Just kind of double it out - memorize it the first day, redo it the second day, record it the fourth day, redo it the eight day, etc.

This technique has been hugely successful for me; I just wish I had discovered it earlier than when I was in college. I would sometimes memorize the TOC page in books to help speed things along. Worked wonders.
 

Kaido

Elite Member & Kitchen Overlord
Feb 14, 2004
50,154
6,398
136
Also, it's good to have a study procedure. A procedure is a set of instructions you follow to get a result. I didn't understand what studying meant growing up; I pretty much faked it all the way into college. To me, studying means 2 things:

1. Comprehension
2. Memorization

They are two separate things. You can memorize something, but not understand it. And you can understand it, but not remember it. Putting them both together is where the real power is - you understand it & you remember it. The memorization technique I linked to in the post above helps with remembering things. This is especially useful for stuff like math class (formulas) and history class (names, dates, events).

My comprehension workflow has evolved over the years. Memorization is easy; you just put in the time using the "how to memorize anything" procedure & voila, you have it memorized. But being able to use that data is where the key lies, especially in math classes. My current comprehension technique goes something like this:

1. Create a list of study topics by scanning the section of the textbook you're working on & picking out the major topics. So that might be what sin, tan, and cos mean.

2. In the order presented in the textbook, take each topic & draw a mindmap for it with all of the information it gives you in the book. So for sin, that might be what sin means, a little drawing of a triangle, and an example formula. Sketching it out in a little bubble-tree like this helps me to get involved in working things out in my head, instead of just staring at the textbook & trying to piece it together mentally.

3. This is the part where you figure things out. Having it out in a mindmap format should help you see all the pieces relevant to that one main piece of information.

4. Once you've got it figured out, write out notes into short sentences.

5. Use the stacking memorization technique to burn it into your brain.

When you go to do homework or take a test, you can pull up that information thanks to the memorization technique, and since you've figured out how it works through mindmapping, it will start coming back to you. If all you do is memorize it & never figure out how it works, then it will be equally useless if it's a formula you actually have to apply to a problem.

Also, there are a lot of good resources available. One of the best is Math Tutor DVD, which does online training videos. It's $200 a year for a subscription. If that sounds like a lot, remember what you spent on your math textbook, and remember that a subscription will cover two full semesters. Here's a link:

http://www.mathtutordvd.com/

Tutors can also help, if you can find/afford a good one. And Youtube. And googling. My problem with most textbooks is that they're terrible at explaining how formulas work; I always hated math growing up and didn't realize until later that most of them are just poorly-written. Not enough examples, no explanation of different iterations, you're just expected to figure things out on your own. The point of learning, to me, is to stand on the shoulders of giants - i.e., quickly learn & memorize what other people have already put in the effort into figuring out, so that I can benefit from that existing knowledge. It's like experimenting with different ingredients to find a pancake recipe...why not just give you the recipe, explain how it works (ex. baking soda rises), and then get great results? But most math books are not well-written and make you re-invent the wheel every time you go to study. Some people have a knack for it, but I sure don't!
 

mrcharles

Member
Oct 26, 2014
27
0
0
I like to study the material for half the time, then practice what i studied. After that, I study some more, then I take a nap. Then when I wake up, i practice for about 30 minutes. A nap is very important for letting your brain chunk the information. Google "sleeping helps learning"
 

silicon

Senior member
Nov 27, 2004
886
1
81
Got a C in math with a well written extra credit essay and an A in chemistry. I can do math, I just really don't like it. The fact that you are required to memorize things with little explanation besides the fact that it works goes counter to a fundamental aspect of my being. Or at least that is what I tell myself.

if you can get past the point where you need to memorize then its much more fun. For those with good memories memorization does work but the need to understand is greater.
 

piasabird

Lifer
Feb 6, 2002
17,168
60
91
What kind of math are we talking about?

You cant study math by any other way than doing math problems. It is not like Chemistry or biology where you can memorize technical terms. Math is a performance like playing the Guitar. I suggest you look at the chapters involved and do a few of the different types of problems to jog your memory. It is difficult because in Math you look at the problem and Identify the pattern you need to solve it and then show your work by using the pattern and what results you get. Often on a test they may have something like 4 equations to solve by using method XYZ, like Completing the square or using the quadratic equation or solving for X. Math takes logical reasoning.
 
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