Use Your Book
Many students open a book and feel intimidated by the
various letters, mathematical operations, and verbiage of theorems
and proofs. Though many times students have applied and worked
with what they are reading, they do not understand the language
used. Go to the examples and justify each step of the problem. Understand how they got to each step...
Normalize Mistakes
Mathematics is a craft, and with any craft you must practice
to perfect it. It will not be easy and at times you may be frustrated by
the number of times you have to restart your problem because of
a minimal mistake. BUT you must perserve! Learn from your mistakes to ensure you do not
repeat it, and you understand why it doesn't work. Each "mistake" is a learning opportunity, maybe one that you will never forget.
Practice
Many problems follow a certain structure. If you practice enough
and often, you will notice those patterns that will get you to a solution much faster.
You will also notice shortcuts you can take because of the logical reasoning that goes behind it.
Also, by adding more and more problems to your memory and experience, then you will
be better equipped with more strategies.