APANavigation
Programs and OverviewAPA Main Page
Jobs
at APA
Staff
UC
Berkeley
ContactWebmaster
(Vincent Tang)
Last updated:
10/29/99
 
Math Study Skills
Learning Skills Center
Read what the instructor will be lecturing on before you go to
class.
Read slowly. Reading mathematics is not like reading a novel or even history. Speed
reading techniques are not appropriate. Every word and symbol is important to the meaning.
Do not skip the symbolic part of the text. This is often the most important part. If you
do not understand a symbol, look in the glossary or in the earlier part of the text.
Symbols are often explained when they are first introduced. If you still can not find out
what a symbol means, ASK!
Read with a pencil in hand. Every time the author does a problem, do it on your
own—either before or after you read his or her explanation. This makes sure you know
what steps have been shown and, more importantly, which ones were omitted.
If there is something you do not understand, try to formulate a question about it. Often
if you can ask a specific question, you can answer it yourself. If you can’t answer
it, you know what part of the instructor’s lecture requires your complete attention.
Your question is ready if the lecture does not clear up your misunderstanding.
Understand the concepts.
Don’t be satisfied with vague ideas about how to work problems. Do the examples
yourself, understand the concept illustrated, then try making up your own examples. Keep
in mind that the questions on the exam may be very different from the example in the book.
Practice.
Be sure you understand the concepts before you practice. Then practice will help you
remember and give you confidence in your mastery. Force yourself to remember the methods
as you work problems; don’t look back in the book.
Keep up with assignments (whether they are graded or
not).
The pace is much faster in college and keeping up to date with assignments helps you to
better understand what is going on in class.
Mathematics is not a spectator sport. The only way you can learn mathematics is by doing
it. Following are some suggestions for getting the most out of the time you spend on
homework.
 Understand the purpose of homework. Homework in mathematics classes is assigned to help
you understand certain concepts and to help you build certain skills. Homework is not
assigned to you because it is important to get the right answers. Your instructor already
knows the answers.
 Try to understand the process, not the specific problem. Classify problems in the
assignment by problem type. Although this is often done for you by the directions, it is
not always. Do each assigned problem and then check it in the back of the book. Try to
figure out why you missed the ones you did instead of just working toward the answer. A
similar problem may be on a test or quiz.
 Mark homework problems you still do not understand and get help with them before the
next class. The next lecture may build on a concept or skill you did not understand in the
homework. When you do get help, make notes on what you learned, so that you can study them
for the test.
 Before closing the book, look back over the assignment and try to explain to yourself
what the assignment was about, what each kind of problem was asking, how you got the
answers and what the answers tell you. This process will help you understand the material
and will help you discover what you don’t understand.
Keep your homework in a convenient and neat notebook so that you will be
able to find questions or difficulties you have quickly and easily. This will also provide
an invaluable study guide for tests.
Ask questions.
Do not hesitate to ask questions. Ask your instructor for help after you have tried to
pull class notes and textbook explanations together for review and still don’t
understand. Write down specific problems so you have them ready; don’t be vague and
say you just don’t understand.
 Don’t hesitate.
Get help right away. Tutoring and help sessions are available. The longer you wait before
getting help, the harder it will be to get caught up. Most of the time when you feel lost,
it is just one concept that you are missing, so get help quickly. One missed concept in a
math class will make the rest of your math career a hardship. Don’t feel embarrassed
to ask questions and get help; even the best mathematicians have felt completely lost at
some point.
Suggestions for Preparing for and Taking Math Tests
Keep a list of things to remember  problems stressed by the instructor,
definitions, terms, diagrams and graphs, formulas.
Keep up with the work  some courses can be passed by cramming, but math
isn’t one of them. Skills in math, as in sports, must be practiced.
Study copies of old exams, chapter tests from the book, or make up your
own. Then practice them with the same limits as the real exam.
Get a good night’s sleep before the test so that you are rested and
alert; a quick review before the test should be a summary only.
Arrive at the test early so that you can be relaxed when the exam
begins.
Quickly look over the test and budget your time  don’t spend too
much time on any single problem or section of the test.
Do some work on each problem  try to work at least part of each problem
because partial credit is better than none.
Check your answers and look for careless mistakes during the last few
minutes of your test time (budget this important time).
Suggestions for Word Problems
Solving problems is a practical art, like swimming or playing the piano; you can only
learn it by imitation and practice. There is no magic key that opens all doors and solves
all problems. The major goal in solving word problems is to translate the written words
into a mathematical equation that we know how to solve.
Read the problem for a general sense of what it is about; sometimes
putting it into your own words will help.
Then reread it to pick out specific information:
What you are asked to find? Usually you choose a variable to represent
one unknown and other unknowns will be represented in terms of the first.
What information is given? Make a list, then organize it into a diagram,
picture, or chart.
What are the relationships among the information given and the
information to be found? Sometimes it helps to think of similar problems from arithmetic
and the formulas needed there.
Translate the information into an equation  get into the habit of doing
this for easy problems. The longer problems will not seem as difficult.
Solve the equation you have written and label your answer  then find
any other quantities to be found.
Return to the original problem and check your answer(s). Do they make
sense in the original problem and answer the question posed in the problem?
Adapted from On Your Own in College by William C. Resnick and David
H. Heller.
For more information about our academic selfhelp resources,
please contact the Learning Skills Center of the Student Counseling Service at 8454427,
ext 108.
