you must abide by four general principles:
-
Problems
are worked to help you understand CONCEPTS
and to build certain skills. You
CANNOT learn math without working
problems.
-
Problems
are not worked solely to get the answer.
-
You
can understand math and do it correctly if
you work on a regular and sustained basis.
St some time aside each day to work on
math.
-
Since
this is a course which you need for
further work, you should give it as much
or more of your time than your other
courses. Don't waste this chance to
learn math you will need for success
later.
A
COMMON MISTAKE:
Students
often go through steps like the following when
working on a math problem:
-
Look
at the problem
-
Look
at examples which seem to be like it
-
Work
the problem
-
Check
the answer at the back. Missed it.
Look back at the example for something
different to try.
-
Keep
changing things until the right answer is
found.
-
Go
on to the next problem
WHAT'S
WRONG
You
have the correct answer, but do not know why the
first answer was wrong and why the last answer
was right. You may not even be sure just
what it was you ended up doing. You are
just as likely to use a wrong procedure on a
test.
WHAT
TO DO
While
looking at the examples; read the explanations
and try to see why what you are doing is wrong.
Do any practice problems in the section.
If you can't figure out a correct procedure ask
in the math office or in class RIGHT AWAY.
Do not assume that you will figure it out by
osmosis.
SUGGESTIONS
Keep
your homework in a neat and orderly binder along
with notes and sample problems done in class.
Always take notes on a section before before
beginning homework. Remember, the answer
is the least important part of the result of
working a problem.
Miscellaneous
Help
Learn
vocabulary. You can keep a notebook with
definitions to math jargon. Study it
before a test to make sure you understand the
questions.
Write
sample questions. Along with a friend,
make up a test, hand it to your friend, grade
each other's tests, and plan for further study.
Make sure they are questions teachers are likely
to ask on the test.
Before
you solve an exercise, try to either read
through a book or internet example (if homework)
or think about an example or a similar problem
on the homework (if test). What you or
somebody else did on a previous problem might be
the key to unlock the door of your current
problem.
Carefully
study each diagram you find in your textbook.
Make a list of all relationships indicated by
the marks shown in the diagram. Some of
the relationships may already be listed for you,
but making your own list helps you to better
understand the diagram.
Remember
theorems. Keep a list of theorems in your
notebook or calculator in order to study.
Try to come up with special names for the
theorems or representational drawings to help
you remember.
Try
to establish a consistent study group.
Keeping the same people helps everybody
establish everybody else's strengths and
weaknesses. If you try to explain ideas to
members of the group, you can provide an
opportunity for yourself to pull ideas together,
to identify and overcome misunderstanding, and
to review and prepare for tests.
Finally,
make sure that you list what you know.
Every time you learn something, write it down.
Not only does it mean that you will retain the
knowledge easier, it means that you will have a
good guide to study from.