The main problem facing students is the task of working though, and correctly solving a problem with unconventional and irrational numbers outside of the classroom.
Students often are able to comprehend the process of solving a problem while inside the classroom. Unfortunately, when the students are on their own and come to a problem that asks for a higher level of knowledge and understanding, the student, because of the lack of knowledge, is unable to perform the operation.
Should the methods of teaching mathematic begin implementing a more thorough lecture process, the student will leave the classroom fully enlightened as to how to perform a mathematical function.
The student will be able to compute problems on their own, without the need a professor at his or her side.
Should curriculum incorporate a deeper way of lecturing, the student will raise his or her grade point average, and will have learned the discipline that it takes to reach a goal, no matter what the subject.