Why is Math so Hard?
Math
is no harder than other subjects, but it is different.
You will succeed by taking those differences into account.
What
is it about college math that makes it so different from your other courses?
For many students the problem is just that they don’t know they’re getting
into. But there’s good news: You already
have the skills you need to
succeed in math, knowing what you know about your other courses.
Math is like
sports!
When you’re learning
to play a sport, is it enough to read books about the sport, memorize some
facts, and maybe watch movies about it? Of course not! With sports you learn by doing. It’s the same in
math: you can’t just read the book, you have to do the practice problems
(homework).
Math is like sports
in another way. If you want to be good at basketball, do you practice only
right before a game? No, you practice every day or almost every day. It’s the same with math: you have
to keep your “mental muscles” limber by working with it every day.
Math is like
foreign languages!
When
you study a foreign language, you know there will be a lot of words you don’t
know. The same is true in math, except that many of the words look like English
words. But math terms like set,
prove, hypothesis, term, solution have special meanings that
are different from ordinary English. Approach math like a foreign language and
make sure you understand
every term. It might be helpful to build up a vocabulary
list in your notebook.
Math is like
science or engineering!
You
need to be very meticulous and work everything out logically. There may be
different ways to get to the right answer, but there’s only one right answer.
Math is like
building construction!
When you’re building
a house, you would never think of trying to put up the second floor before the
first floor. Building is a sequential process.
The same is true in
math: each concept builds on the ones that came before. In history, you can understand
the Depression pretty well even if you didn’t study World War I. But in math
it’s different: you need to understand factoring very well or you won’t be able
to solve equations.
This means that if
you’re strapped for time, the one course that’s most dangerous to let slide is
your math course. With other courses, if you don’t understand day 11 you can
probably follow the lecture on day 12. With math, you have to understand day 11
or you’ll likely be lost in day 12.
The moral is that you
need to stay current. If ever you don’t
understand something, get help on it right away. Otherwise you’ve just knocked
away the first floor of your house, and you know what that will do when you try
to put up the second floor.
Math is
useless and yucky!
Okay, granted that
lots of students hate math. It’s not your fault: lots of students were not
taught math well in grade school. The good news is that you can do well even if you don’t
like it.
In life there are all sorts of things we’d
rather not do, but we do them anyway.
Go ahead and hate
math if you want to, but do the work anyway. Incredible as it seems, if you
accept the challenge and keep up with the work from the first day, you might
actually find that you like it! At least you’ll have the sense of satisfaction
you get from a job well done.
Math courses
move too fast!
At least part of this
is not about math but about college. In high school, an intermediate algebra
course takes a full year, probably five days a week. That’s about 180 class
hours. In college, the same course takes one semester three times a week: 42
class hours. The material moves faster just because you’re at the college
level.
The best strategy for
college math? Don’t fall behind. If you’re jogging
or bicycling in a group, it’s a lot easier to stay with the group than to stop
along the way and then try to catch up later.
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