Math Study SkillsMath Study Skills

Active Study vs. Passive StudyActive Study vs. Passive StudyStudying Math is Different from Studying Other Studying Math is Different from Studying Other

SubjectsSubjectsCollege Math is Different from High School MathCollege Math is Different from High School Math

Study TimeStudy Time

Active Study vs. Passive Active Study vs. Passive StudyStudyBe Be activelyactively involved in managing the learning process, the involved in managing the learning process, the mathematics and your study time:mathematics and your study time:

Take responsibility for studying, recognizing what you do Take responsibility for studying, recognizing what you do and don’t know, and knowing how to get your Instructor to and don’t know, and knowing how to get your Instructor to help you with what you don’t know.help you with what you don’t know.

Attend every class and take complete notes. Instructors Attend every class and take complete notes. Instructors formulate test questions based on material and examples formulate test questions based on material and examples covered in class as well as on those in the text.covered in class as well as on those in the text.

Be an Be an active participantactive participant in the classroom. Get ahead in the in the classroom. Get ahead in the book; try to work some of the problems before they are book; try to work some of the problems before they are covered in class. Anticipate the Instructor’s next step.covered in class. Anticipate the Instructor’s next step.

Ask questions in class! There are usually other students Ask questions in class! There are usually other students wanting to know the answers to the same questions you wanting to know the answers to the same questions you have.have.

Go to office hours and ask questions. The Instructor will be Go to office hours and ask questions. The Instructor will be pleased to see that you are interested, and you will be pleased to see that you are interested, and you will be actively helping yourself.actively helping yourself.

Good study habits throughout the semester make it easier to Good study habits throughout the semester make it easier to study for tests.study for tests.

Studying Math is Different from Studying Math is Different from Studying Other SubjectsStudying Other Subjects

Math is learned by Math is learned by doingdoing problems. Do the problems. Do the homework. The problems help you learn the homework. The problems help you learn the formulas and techniques you do need to know, formulas and techniques you do need to know, as well as improve your problem-solving as well as improve your problem-solving prowess.prowess.

A word of A word of warningwarning: Each class builds on the : Each class builds on the previous ones, all semester long. Keep up with previous ones, all semester long. Keep up with the Instructor: attend class, read the test and do the Instructor: attend class, read the test and do homework every day. Falling a day behind puts homework every day. Falling a day behind puts you at a disadvantage. Falling a week behind you at a disadvantage. Falling a week behind puts you in deep trouble.puts you in deep trouble.

A word of A word of encouragementencouragement: Each class builds : Each class builds on the previous ones, all semester long. You’re on the previous ones, all semester long. You’re always reviewing previous material as you do always reviewing previous material as you do new material. Many of the ideas hang together. new material. Many of the ideas hang together. Identifying and learning the key concepts mean Identifying and learning the key concepts mean you don’t have to memorize as much.you don’t have to memorize as much.

College Math is Different College Math is Different from High School Mathfrom High School MathA College math class meets less often and A College math class meets less often and covers material at about twice the pace than covers material at about twice the pace than that of a High School course. You are that of a High School course. You are expected to absorb new material much more expected to absorb new material much more quickly. Tests are probably spaced farther quickly. Tests are probably spaced farther apart and so, cover more material than apart and so, cover more material than before. The instructor may not even check before. The instructor may not even check your homework.your homework.

Take responsibility for keeping up with the Take responsibility for keeping up with the homework. Make sure homework. Make sure youyou find out how to do it. find out how to do it.

You probably need to spend You probably need to spend moremore time studying time studying peer week – you do more of the learning peer week – you do more of the learning outsideoutside of class than in High School. of class than in High School.

Tests may seem harder just because they cover Tests may seem harder just because they cover more material.more material.

Study TimeStudy Time

You may know a rule of thumb about math (& You may know a rule of thumb about math (& other) classes: at other) classes: at leastleast 2 hours of study time 2 hours of study time per class hour. But this may not be enough!per class hour. But this may not be enough!

Take as much time as you need to do all the Take as much time as you need to do all the homework and to get complete understanding of homework and to get complete understanding of the material.the material.

Form a study group. Form a study group. Meet once or twice a Meet once or twice a week (also use the phone). Go over week (also use the phone). Go over troublesome problems. Either someone else in troublesome problems. Either someone else in the group will help you or you will discover that the group will help you or you will discover that you’re all stuck on the same problem. Then it’s you’re all stuck on the same problem. Then it’s time to get help from the Instructor.time to get help from the Instructor.

The more challenging the material, the more The more challenging the material, the more time you should spend on it.time you should spend on it.

Studying for a Math Studying for a Math TestTest

Everyday Study is a Big Part of Everyday Study is a Big Part of Test PreparationTest Preparation

Studying for a TestStudying for a Test

Everyday Study is a Big Part Everyday Study is a Big Part of Test Preparationof Test PreparationGood study habits throughout the semester Good study habits throughout the semester make it easier to study for testsmake it easier to study for tests

Do the homework when it is assigned. You Do the homework when it is assigned. You cannot hope to cram 3 or 4 weeks worth of cannot hope to cram 3 or 4 weeks worth of learning into a couple of days of study.learning into a couple of days of study.

On tests you have to solve problems; homework On tests you have to solve problems; homework problems are the only way to get practice. As problems are the only way to get practice. As you do homework, make lists of formulas and you do homework, make lists of formulas and techniques to use later when you study for tests.techniques to use later when you study for tests.

Ask your Instructor questions as they arise; Ask your Instructor questions as they arise; don’t wait until the day before a test. The don’t wait until the day before a test. The questions you ask right before a test should be questions you ask right before a test should be to clarify minor details.to clarify minor details.

Studying for a TestStudying for a Test

Start by going over each section, Start by going over each section, reviewing your notes and checking reviewing your notes and checking that you can still do the homework that you can still do the homework problems (actually work the problems (actually work the problems out). Use the worked problems out). Use the worked exampled in the test and notes – exampled in the test and notes – cover up the solution and work the cover up the solution and work the problem yourself. Check your problem yourself. Check your work against the solutions given.work against the solutions given.

Studying for a TestStudying for a Test

You’re not ready yet! You’re not ready yet! In the book each problem appears at In the book each problem appears at the end of the section in which you learned how to do that the end of the section in which you learned how to do that problem: on a test the problems from different sections are problem: on a test the problems from different sections are all together.all together.

Step back and ask yourself what kind of problems you have Step back and ask yourself what kind of problems you have learned to solve, what techniques of solution you have learned, learned to solve, what techniques of solution you have learned, and how to tell which techniques go with which problems.and how to tell which techniques go with which problems.

Try to explain out loud, in your own words, how each solution Try to explain out loud, in your own words, how each solution strategy is used (e.g. how to solve a quadratic equation). If you strategy is used (e.g. how to solve a quadratic equation). If you get confused during the test, you can mentally return to your get confused during the test, you can mentally return to your verbal “capsule instructions”. Revise your verbal explanations verbal “capsule instructions”. Revise your verbal explanations with a friend during a study session (it’s more than talking to with a friend during a study session (it’s more than talking to yourself!).yourself!).

Put yourself in a test-like situation: work problems from review Put yourself in a test-like situation: work problems from review sections at the end of chapters, and work old tests if you can sections at the end of chapters, and work old tests if you can find some. It’s important to keep working problems the whole find some. It’s important to keep working problems the whole time you’re studying.time you’re studying.

Also:Also: Start studying early. Several days to a week before the test Start studying early. Several days to a week before the test

(longer for a final exam), begin to allot time in your schedule to (longer for a final exam), begin to allot time in your schedule to reviewing for the test.reviewing for the test.

Get lots of sleep the night before the test. Math tests are easier Get lots of sleep the night before the test. Math tests are easier when you are mentally sharp.when you are mentally sharp.

Taking a Math TestTaking a Math Test

Test-Taking Strategy MattersTest-Taking Strategy MattersTaking a TestTaking a Test

Test-Taking Strategy Test-Taking Strategy MattersMatters

Just as it is important to think Just as it is important to think about how you spend your study about how you spend your study time (in addition to actually doing time (in addition to actually doing the studying), it is important to the studying), it is important to think about what strategies you think about what strategies you will use when you take a test (in will use when you take a test (in addition to actually doing the addition to actually doing the problems on the test). Good test-problems on the test). Good test-taking strategy can make a taking strategy can make a big big differencedifference to your grade! to your grade!

Taking a TestTaking a Test

First First look overlook over the entire test. You’ll get a sense of its length. Try to the entire test. You’ll get a sense of its length. Try to identify those problems you definitely know how to do right away, identify those problems you definitely know how to do right away, and those you expect to have to think about.and those you expect to have to think about.

Do the problems in Do the problems in the order that suitsthe order that suits youyou! Start with the problems ! Start with the problems that you know for sure you can do. This builds confidence and that you know for sure you can do. This builds confidence and means you don’t miss any sure points just because you run out of means you don’t miss any sure points just because you run out of time. Then try the problems you think you can figure out; then finally time. Then try the problems you think you can figure out; then finally try the ones you are least sure about.try the ones you are least sure about.

TimeTime is of the essence – work as is of the essence – work as quicklyquickly and and continuouslycontinuously as you as you can while still writing legibly and showing all your work. If you get can while still writing legibly and showing all your work. If you get stuck on a problem, move on to another one – you can come back stuck on a problem, move on to another one – you can come back later.later.

Work by the clockWork by the clock: On a 50 minute, 100 point test, you have about : On a 50 minute, 100 point test, you have about 5 minutes for a10 point question. Starting with the easy questions will 5 minutes for a10 point question. Starting with the easy questions will probably put you ahead of the clock. When you work on a harder probably put you ahead of the clock. When you work on a harder problem, spend the allotted time (e.g. 5 minutes) on that question, problem, spend the allotted time (e.g. 5 minutes) on that question, and if you have not almost finished it, go on to another problem. Do and if you have not almost finished it, go on to another problem. Do not spend 20 minutes on a problem which will yield few or no points not spend 20 minutes on a problem which will yield few or no points when there are other problems still to try.when there are other problems still to try.

Show all your workShow all your work: make it as easy as possible for the Instructor to : make it as easy as possible for the Instructor to see how much you do know. Try to write a well-reasoned solution. If see how much you do know. Try to write a well-reasoned solution. If your answer is incorrect, the Instructor will assign partial credit based your answer is incorrect, the Instructor will assign partial credit based on the work you show.on the work you show.

Taking a TestTaking a Test

NeverNever waste time erasing! Just draw a line through the work waste time erasing! Just draw a line through the work you want ignored and move on. Not only does erasing waste you want ignored and move on. Not only does erasing waste precious time, but you may discover later that you erased precious time, but you may discover later that you erased something useful (and/or maybe worth partial credit if you something useful (and/or maybe worth partial credit if you cannot complete the problem). You are (usually) cannot complete the problem). You are (usually) notnot required to fit your answer in the space provided – you can required to fit your answer in the space provided – you can put your answer on another sheet to avoid needing to erase.put your answer on another sheet to avoid needing to erase.

In a multiple-step problem In a multiple-step problem outlineoutline the steps before actually the steps before actually working the problem.working the problem.

Don’tDon’t give up on a several-part problem just because you give up on a several-part problem just because you can’t do the first part. Attempt the other part (s) – if the actual can’t do the first part. Attempt the other part (s) – if the actual solution depends on the first part, at least explain how you solution depends on the first part, at least explain how you wouldwould do it. do it.

Make sure you Make sure you readread the questions the questions carefullycarefully, and do , and do all all parts parts of each problem.of each problem.

VerifyVerify your answers – does each answer make sense given your answers – does each answer make sense given the context of the problem?the context of the problem?

If you finish early, If you finish early, checkcheck every problem (that means every problem (that means reworkrework everything from scratch).everything from scratch).

Getting AssistanceGetting Assistance

WhenWhenUse the Resources you have AvailableUse the Resources you have Available

Ask QuestionsAsk QuestionsYou Control the Help You GetYou Control the Help You Get

WhenWhen

Get help as soon as you need it. Get help as soon as you need it. Don’t wait until a test is near. The Don’t wait until a test is near. The new material builds on the new material builds on the previous sections, so anything you previous sections, so anything you don’t understand now will make don’t understand now will make future material difficult to future material difficult to understand.understand.

Use the Resources you Use the Resources you have Availablehave AvailableAskAsk questions in class. You get help questions in class. You get help andand stay stay actively involved in the class.actively involved in the class.VisitVisit during the Instructors Office Hours. Instructors during the Instructors Office Hours. Instructors like to see students who want to help themselves.like to see students who want to help themselves.AskAsk friends, members of your study group, or anyone friends, members of your study group, or anyone else who can help. The classmate who explains else who can help. The classmate who explains something to you learns just as much as you do, for something to you learns just as much as you do, for he/she must think carefully about how to explain the he/she must think carefully about how to explain the particular concept or solution in a clear way. So, don’t particular concept or solution in a clear way. So, don’t be reluctant to ask a classmate.be reluctant to ask a classmate.GoGo to the Math Help Sessions or other tutoring to the Math Help Sessions or other tutoring sessions on campus.sessions on campus.Find a private tutor if you can’t get enough help from Find a private tutor if you can’t get enough help from other sources.other sources.AllAll students need help at some point, so be sure to students need help at some point, so be sure to get the help get the help youyou need. need.

Ask QuestionsAsk Questions

Don’t be afraid to ask questions. Don’t be afraid to ask questions. AnyAny question is better than question is better than no question at all (at least your Instructor/tutor will know you no question at all (at least your Instructor/tutor will know you are confused). But a are confused). But a good question good question will allow your helper to will allow your helper to quickly identify exactly quickly identify exactly whatwhat you don’t understand. you don’t understand.

Not too helpful comment: “I don’t understand this section.” Not too helpful comment: “I don’t understand this section.” The best you can expect in reply to such a remark is a brief The best you can expect in reply to such a remark is a brief review of the section, and this will likely overlook the review of the section, and this will likely overlook the particular thing (s) which you don’t understand.particular thing (s) which you don’t understand.

Good comment: “I don’t understand why f (x + h) doesn’t Good comment: “I don’t understand why f (x + h) doesn’t equal f (x) + f (h).” This is a very specific remark that will get equal f (x) + f (h).” This is a very specific remark that will get a very specific response and hopefully clear up you difficulty.a very specific response and hopefully clear up you difficulty.

Good question: “How can you tell the difference between the Good question: “How can you tell the difference between the equation of a circle and the equation of a line?”equation of a circle and the equation of a line?”

Okay question: “How do you do #17?”Okay question: “How do you do #17?” Better question: “Can you show me how to set up #17?” (the Better question: “Can you show me how to set up #17?” (the

Instructor can let you try to finish the problem on your own), Instructor can let you try to finish the problem on your own), or “This is how I tried to do #17. What went wrong?” The or “This is how I tried to do #17. What went wrong?” The focus of attention is on focus of attention is on youryour thought process. thought process.

Right after you get help with a problem, work another similar Right after you get help with a problem, work another similar problem by yourself.problem by yourself.

You Control the Help You You Control the Help You GetGetHelpers should be Helpers should be coachescoaches, not crutches. They should , not crutches. They should encourage you, give you hints as you need them, and encourage you, give you hints as you need them, and sometimes show you how to do problems. But they sometimes show you how to do problems. But they should should notnot, nor be expected to, actually do the work , nor be expected to, actually do the work youyou need to do. They are there to help you figure out need to do. They are there to help you figure out how to learn math for how to learn math for yourselfyourself..

When you go to office hours, your study group or a When you go to office hours, your study group or a tutor, have a specific list of questions prepared in tutor, have a specific list of questions prepared in advance. advance. YouYou should run the session as much as should run the session as much as possible.possible.

Do not allow yourself to become dependent on a Do not allow yourself to become dependent on a tutor. The tutor cannot take the exams for you. You tutor. The tutor cannot take the exams for you. You must take care to be the one in control of tutoring must take care to be the one in control of tutoring sessions.sessions.

You must recognize that sometimes you do need You must recognize that sometimes you do need some coaching to help you through, and it is up to you some coaching to help you through, and it is up to you to seek out that coaching.to seek out that coaching.