To do list

cute, SC-appropriate to-do list (healthy living)

Being happy and healthy really is the best way to strengthen your math skills. Tired, stressed brains don't learn efficiently or cope well with difficult problems.  

If you're looking for some more math-specific suggestions, keep reading. You may already do many of these things - if so, high five! If not, try adding some of these behaviors to your routine and see what happens.

Ask questions 

If you don't understand something, the odds are very, very good that some other people don't understand it either, and you'll earn good math karma by being brave enough to ask about it. This can take a lot of courage in a huge lecture hall, and can still be a little scary in discussion section or office hours, but it's worth it.

The act of asking a question often enables you to see the answer yourself. There's something about formulating the question and asking it out loud that can unlock whatever's had you stumped. The more "oh... I get it now!" Eureka moments you accumulate, the better your brain will get at finding insights and solutions. Trust us on this one - it really works. 

Avoid avoidance

Stick with your study schedule. Work on mastering every new concept as soon as possible after it has been introduced and before the next class. In math, almost every new thing is introduced as being a lot like a (supposedly) familiar thing, but a little different. If you fall behind, people will be explaining things you don't know anything about in terms of other things you don't know anything about, which isn't helpful.

Get your hands dirty

Following the instructor's reasoning is a great start, but what you see in lecture or discussion section is only the beginning. The real learning occurs while you are problem solving on your own. Test your understanding against examples and exercises from your text or ALEKS.

Go to (discussion) sections and office hours

One of the most dramatic differences between high school or community college courses and many university courses is the lecture/discussion section format. For first year math courses, typical sizes are: a few hundred students per lecture, 25-30 students per section, and 1-10 students per office hour. Do the math. Active participation in discussion sections is a crucial part of the learning process - many frosh say that they learn more in the discussion sections for their math courses than in the lectures.

Both instructors and teaching assistants hold regular office hours - these hours are opportunities for you to direct the flow of the conversation. Revisit earlier material, ask about an alternative approach to a problem that was worked through in lecture or section, get detailed feedback on your homework... a lot of terrific breakthroughs happen during office hours.

Learn the language

Pay close attention to definitions, thinking about what every word means.  Tutorial videos are great for this - many people find listening more effective than reading, and you can stop the video as often as you want to mull things over, and replay a segment if you realize you didn't really understand it as well as you thought you did. If you're not confident about some of the jargon used in a definition, look it up; sooner or later, any ambiguity will bite you in the rear. With practice, you'll get much better at following complex definitions and explanations, and will find it easier to keep up with lectures.

Leave a trail of breadcrumbs

Take lots of meaningful notes. When you solve a problem, write out all the steps; if you don't get the right answer, backtrack and figure out where you slipped up. When a problem-solving strategy works well for you, document that strategy - written notes, screen captures, videos,... have some way of reminding yourself later what you did, so you don't need to rediscover it later. Make sure that your notes have useful content, though - if you get bored or impatient reading your own notes, trim out any fluff.

Repeat as necessary

Master new techniques by doing related problems until the process seems routine. ALEKS is really, really great for this. If you're not sure about something, ask ALEKS for an explanation, then do another problem or two from the same family; note the similarities and any differences, and use your experience to solve the new problems more efficiently than the previous ones. Recognizing and exploiting familiar patterns is crucial in mathematics. 

Use all of your resources

Working with your notes, textbook, fellow classmates and tutors or utilizing your instructor's office hours can help support and reinforce what you began to learn in the classroom. Learning Support Services offers free tutoring, including Modified Supplemental Instruction (very small study groups with an experienced mentor), and other great resources.