Students can learn mathematics in one of two ways, namely relational understanding and instrumental understanding. Instrumental understanding simply teaches the students how to find the correct answer, no more no less. Relational understanding also teaches the student how to find the correct answer, but it goes beyond that and teaches the student why that is the way to find the correct answer. Thus we see they are both effective in getting the student to pass the class, or maybe just a particular assignment, but in the long run relational understanding is more beneficial to the student's learning. The positive sides to instrumental understanding is that the results are seen quickly, and the rules are usually easier to understand than are the concepts behind those rules. Because of these benefits, students are able to find answers more quickly. However, with relational understanding students are able to adapt to new tasks more easily. They can see a new subject build off a previous one. Though relational concepts are not easier to understand, they are easier to remember because the student learns the big picture, and is then able to apply that bigger idea to smaller scenarios. It is easy to see issues with instrumental understanding; the students forget more easily, they do not know how to evolve what formulas they learned, etc. However there are several disadvantages to relational understanding. It takes a long time to achieve relational understanding, sometimes the level of difficulty exceeds the students' abilities, and often it is hard for teachers to teach relational understanding when so many of their colleagues are not doing so. However, it is still a good procedure to help students understand the fundamental ideas behind the method for solving a problem. Instrumental understanding is embedded within relational understanding, we simply need to broaden what we teach so that students can truly understand what they learn.