TIPS ON HOW TO STUDY MATH (&
fight math anxiety) Math Matters CCC
Tips for succeeding in math:
· Choose an instructor you understand & feel comfortable with.
· Choose a section that meets at a time when you
are alert & relaxed.
· Sit in or near the front row so as to optimize
your attention.
· When choosing a math course, be sure that it is
the one required for your major and/or that it will transfer.
· There is a natural progression in the study of
math: each course builds on a previous course. You must master the foundation
before moving on to the next course. You are doing yourself a disservice,
wasting effort, time & money, if you sign up for a course without
having successfully met the prerequisites.
· There is nothing wrong with dropping a course in
which you feel you may get a low grade or fail. It is better to retake
a course later when there is a better chance to succeed.
· Some students have a natural talent for math but
most dont. What you lack in talent you can make up for with hard
work & study. Self-discipline, motivation & a sense of responsibility
are essential for high achievement in math.
· Aim for 100%, not merely a passing grade in a math
course.
· Try to stay ahead of the class instead of just
keeping up. Once you get behind, the obstacles may become insurmountable.
· Avoid large time gaps between math courses, or,
at least, brush up well on material (prerequisites!) you need to know
before signing up for a class.
· Keep the notes & textbook from all your math
courses until you are finished with the sequence- you may need to revisit
them when taking a more advanced level course.
· If you have been consistently failing the regular
tests, it is very unlikely that you will offset this by acing the final.
Over-optimism can be your worst enemy.
· Learn to take responsibility & not make excuses
or blame others. The grade you get is the grade you earn.
How to study math:
· The rule of 3: for each hour of class you should
plan to study at least 3 solid hours per week by yourself, the actual
time required depending on your abilities.
· The following sequential approach has been proven
effective:
1. Get a head start: read from the textbook the next topic
to be covered in class to gain familiarity with the subject.
2. Attend all lectures & take careful notes. Never miss
class! If you must miss a class, get the notes & homework from one
of your classmates.
3. Study from your notes & re-read the corresponding
section from the text.
4. Rework examples done in class & in the text.
5. Attempt to do the homework problems, applying the approach,
steps & notation presented in class & in the text.
6. Check your answers with the answers given in the back
of the text or in the solutions manual.
7. Make a list of the questions that you may still have.
· It may often happen that in class you feel you
have a clear understanding of what your instructor says & does. This
does not mean that you know it, let alone that you have been able to master
it. Only doing it on your own & diligent practice will result in profound
& lasting learning.
· When doing problems, ask yourself: does your answer
make sense? Is it reasonable? If so, what does it all mean in the context
of this particular problem? What are its implications?
· Ask questions: to your instructor (in class or
during office hours), to your classmates, to your friends. When you visit
your instructor during office hours, bring a list of specific questions.
Dont ask for answers. Ask for the explanation that justifies the
answer; ask for the logical argument in the solution. You must leave the
office convinced of the logic of the argument.
· Dont ask your instructor: Is this going
to be on the test? It is going to be on the test.
· Answer questions that your classmates may have.
Helping or explaining to others lets you gain a better understanding of
math concepts.
· Form a study group & discuss the homework problems
in this group.
· You paid good money for the textbook. Use your
book, read it & re-read it, work on the exercises, write in the margins,
put question marks where needed.
· Use the supplements that come with the book. Solution
manuals can be quite helpful. CD-ROMs can be very effective learning
tools.
· Take advantage of technology, like graphing calculators
or computer software, to verify your results & get new insights, both
graphically & numerically.
· Use the phone. Use e-mail. Use the Web. The Math
Dept. at CCC has a home page that contains a list of links to sites that
could assist you. Here are instructions on how to get there:
1. Go to: http://www.camdencc.edu/departments/math/index.htm
2. Click on the Math Dept. icon.
3. Click on Tools & Links.
4. Click on Help in Math.
5. Choose & experiment from any of the sites on the
list. If you are taking Calculus, the site Calculus On The Web,
which is interactive, is strongly recommended.
· Use the Math Tutoring Center in CCC. Call 227-7200,
ext. 4256 to make an appointment.
· Try to earn extra points by doing bonus problems,
problems of the month, participating in math contests, etc.
3. Tips for taking tests:
· Make up a plan of study & organize your time
accordingly.
· Know the previous material well. Math is cumulative!
· Try to find the links connecting seemingly different
topics; get the big picture. Ask yourself: why are we doing this? What
makes this an important problem in math? Why does the answer matter?
· Practice makes perfect: what initially may seem
difficult & alien, becomes very natural after much practice.
· Know the examples! They are potential test questions.
Chances are that problems appearing on exams wont be very different
from examples done in class. Know the examples!
· Do not miss the class meeting before the exam:
important review may take place.
· Some of the test material may have to be memorized.
Understanding it will surely make memorization easier. Moreover, math
rules often point to a domain where numerical experimentation is possible.
You should acquire the habit of, when in doubt, conduct the appropriate
experiment. For example: is ? Well, the answer is no, according
to the following experiment: let & . You can see that .
· The correct answer to a problem is a main goal.
However, the logical steps & thought process that lead to the answer
are equally important in math. Make the presentation of your solution
as clear & comprehensible as possible. Show all the steps in a natural
& coherent progression. Show all your work! Justify your answer! This
has the additional benefit of allowing you to get partial credit. Try
to be neat & well organized in writing your solution.
· Use your math intuition & make an educated
guess when all else fails.
· At some point in the test preparation process,
you may be able to predict the kinds of questions to be found on the exam.
Your instructors practice test helps. So does the chapter test in
the book. Make up your own exam & take it under exam conditions. This
is also a great way of fighting the mental block syndrome
of math anxiety.
· After having successfully met all prerequisites,
a careful & solid preparation of all topics is the best-known antidote
for overcoming math anxiety.
· When taking the exam:
1. arrive early
2. come well-equipped: pen, pencil, eraser, calculator,
scratch paper, etc.
3. read the instructions & do exactly as directed.
4. read the problems carefully, maybe more than once, &
relate them to other problems you know.
5. keep in mind that the order of the questions often corresponds
to the order in which the topics were presented in class/ the text.
6. do the easy problems first; do not let yourself get bogged
down.
7. always show all your work & do the problems the way
they were done in class.
8. use every minute of available time- check & recheck.
9. if a question seems confusing to you, ask your instructor
for clarification.
10. cheating, in any form, is ultimately self-defeating.
· Go over the exam when it is returned to you. Examine
the problems where you made mistakes & learn from them. Do this immediately
& systematically.
· Keep a folder with all your tests & quizzes:
this will be invaluable when preparing for the final exam, which is often
cumulative. The final will most likely have problems similar to those
on regular exams from the semester. Know these problems!
Math has the potential for teaching you skills in the art
of problem solving. It may allow you to develop the analytical tools and
the mental discipline for a methodical approach to problem solving. These
skills are essential in almost any other field and profession.
WE WISH YOU A USEFUL & ENJOYABLE
MATH EXPERIENCE AT CCC!