Methods or Principles?
When it comes to solving a math problem, there are several methods a student can implement that will yield the correct answer. Sometimes, while helping friends with their math problems, I like to wait until they finish the problem to confirm their answer matches mine. This approach gives allowance to the fact that we learned two different methods for solving that sort of problem. However, because I grasp the general principle that they are applying, I can often double-check their work even if the specific notation or order of steps is different than what I utilized. I have noticed that my understanding of general principles is not shared by all math students. This makes me question whether math teachers are teaching methods or principles to their students in the classroom. Many students struggle to solve a problem unless they are using the specific method they learned in the past because they do not understand the underlying principle behind the method. “As to methods, there may be...