Many
students and parents ask for pointers and techniques to best learn
Math. Here is my top-10 list which applies to any level of Math. |
1) If you don’t understand something, focus on mastering that topic before moving on to the next topic.
It sounds simple, but it is absolutely essential. Lets say a student is
learning Algebra, for example. Further, lets say he or she is having a
hard time understanding how to add and subtract negative and positive
numbers. All of us struggle with this in the beginning as it is a sticky
point for most students. Some students in this situation, out of
frustration that they “can’t” learn this topic, will move on to the next
lesson in the hope that they will be able to understand that one. |
This is a recipe for disaster. |
Math is
very much like learning to read. If you don’t know your letter sounds
then you have no hope of being able to sound out words of course there
is no way possible that you could read a book. All math courses are
taught in a specific sequence because the every topic builds on the
previous topic. If you are having a problem with a topic, continue
working with that one until you understand it and can work problems
successfully. Watch the DVD section over again, attend tutoring, read
the book and examples a second time, or even get a totally different
book to have it explained a different way…but whatever you do not turn
the page and tackle the next topic. If you do, you will get even more
frustrated and you in all likelihood will begin to give up hope. |
2) Work example problems and check your answers to gain practice with every lesson.
The entire premise of the DVD series is to “learn by example” and it is
quite simply the easiest way to learn Math. After watching the section
on the DVD and reading the section in your textbook, begin working
examples from the end of the chapter. Make sure to work the problems
that have answers in the back of the book, and check every one. Always
begin with the easiest problem in your book, even if you think it will
be too “easy” to solve. It is very very important to build your
confidence. This is why the DVD lessons begin with easier problems that
no one will have any issue understanding. Gradually work harder and
harder problems from your book and check your answer for each one. After
working a dozen or more problems from the section (two dozen is best),
you are ready to move on to the next section. Many students want to plow
though a lesson just to make it to the next one. You cannot just read a
section in a Math book and become an expert on that section. You must
work problems. If you can’t work problems then you are not ready to move
on. The good news is that working problems will build your confidence,
and confidence is 100% the name of the game in Math. |
3) When
beginning to work a Math problem, do not “map out a path from
problem-to-answer” in your head before writing anything down. I see
this almost every day. It is very common when someone looks at a Math
problem that they try to “figure it out” in their head before writing
anything down. Take Algebra for example. When a beginning student looks
at an equation, he or she will be tempted to solve the equation in their
head and not write anything down. Students are tempted to do this most
often with Word Problems. Since a word problem is written in sentence
form, it is common to think that you can “think your way to the answer”.
I will tell you that I never, ever, solve any sort of math problem
without writing it down. Ever. |
What you
need to do is begin by first writing down the problem. Then you begin to
solve it one step at a time. Write down even the simple things. What
you need to ensure is that every single step that you write down is
perfectly legal. In other words, if you are solving an equation for
example and you subtract “10” from both sides….write that down. Then in
the NEXT step actually do that subtraction. Then if you need to divide
both sides by “2” write THAT down…then in the NEXT step actually do the
division. This gives you a paper trail to check your work and also it
allows you to break the problem down in to bite sized chunks. If you can
be sure that every single little step is legal, then you will be in
good shape. If you try to do too many things at one time, which is
common, you will probably try to do something illegal and get into
trouble. |
4) When you study and do homework, try to find a quiet place to do it.
I was the worst offender of this while in school. I used to listen to
music all of the time while trying to do homework. I’d also listen to
the TV as ‘background noise” while studying. Over time I realized that
if I had a quiet place without the background noise, I could focus much
better. What I found is that when reading, for example…I would have to
read something perhaps 3 or 4 times if I was listening to something else
but only once if I had some quiet. People love to listen to music while
studying, but I am convinced that it is much more effective if you
don’t. Try to find a quiet spot in your home or in the Library to get
your schoolwork done and you will get your work done much more quickly
because you’ll be able to focus and absorb more. |
5) If someone asks you for help, try to explain the topic to them as best you can.
This one is going to seem a little odd for this list…but there is one
universal truth. Those who can teach others have a true grasp of the
material. Many times when studying in groups there will be one member of
the group who is behind and doesn’t “get it”. Try to help that person,
even if your own work will take longer. Not only will you feel like you
are helping someone else succeed, but the process of rephrasing
information back to someone else and breaking things down into bite
sized chunks will increase your own understanding. It will help you
understand at a fundamental level what the stumbling blocks are for the
topic, which will help you as you move on in your math studies. |
6) Never, ever work math problems in pen.
This one is pretty simple. You will make a mistake; it is only a matter
of time. When you do, you will want to completely erase your mistake
and write over it. You will never, ever want to scratch something out
and write next to the scratch-out. This will lead to a paper that is
hard to read, and the scratch-outs will actually increase your anxiety
about solving these problems. You want clean-neat paper with a clean
well thought-out solution. |
7) Try to use a mechanical pencil with separate eraser, if you can.
Mechanical pencils have cleaner lines and the separate eraser allows
you to erase more cleanly. Nothing is worse than making a mistake and
trying to erase something then just smearing that all around your page.
The cheap erasers will do this and make your life hard. Invest in a good
mechanical pencil and a good separate eraser. |
8) Keep your solutions neat and line-by-line.
Always work problems vertically, with one step on every line. Never
work horizontally. It may take more paper, but you will be able to
follow your steps much more easily. More importantly, the teacher will
be able to follow your work much better which allows him/her to give you
partial credit. If there are just 2 steps when there should be 10, you
will not be getting any points for your thought process. The steps you
write down tell the teacher what you are thinking and how you are
attacking the problem. |
9) Don’t work problems very late at night.
I know all of the college students will be laughing at this, but it is
true. I have tried many, many times to do Calculus or Physics late at
night, after 12 or 1am, but you are just doing yourself a disservice. I
have stared at problems for hours because I just could not sleep until I
knew how to solve it…then I finally fell asleep out of extreme
fatigue…but when I woke up it just seemed so simple how to proceed with
the problem. Also, I have worked problems at night and got the wrong
answer, and I knew I must have a silly mistake in the solution. I would
usually set out to find it, but many times when you are tired you simply
can’t find the silly mistake. The next morning after about 5 minutes I
could spot the simple sign error or even a simple multiplication error
that caused the problem. |
10) If the problem lends itself to it, draw a picture of the problem.
This is most applicable for Trigonometry, Calculus, and Physics
Students, but also applies to any word problem in basic math or algebra.
Please do yourself a favor and draw a picture of what the problem is
describing, even if your picture is simple. We are visual beings…the
process of drawing the situation causes us to internalize what the
problem is really asking for. It helps figure out how to proceed. If you
are in Physics, you should draw a picture for every single problem that
you work out. If you are in Calculus, definitely draw pictures for all
related rate problems. If you are in Calculus 2 or Calculus 3,
definitely draw a picture of all of your 3-dimensional problems (3d
integrals). If you are in basic math and Jenny gives Bob 2 pencils and
Bob gives 1 pencil away, draw that situation. It will really help you
figure out how to proceed. |
Remember,
there is no silver bullet in learning Math. It comes with taking things
one step at a time and with practice. The tips above will help you along
in your math studies, and give you confidence. And confidence is 100%
the name of the game in learning any level of Math. |
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