New Insights and Thier Implication

I have a great experience becuase I am doing my SPED intern this semester while taking these methods courses and this helps me apply and understand what is being taught to us in class. In the resource room that I am in I work with a group of students on their math skills so as we talk in class I am able to think about the students that I work with and the strategies they apply to thier math. I see that many times they are taught how to do it (a process) and not given the chance to brainstorm on their own. I do wonder with this group of remedial math students if they would be able to constuct thier own understanding with out any guidance. But I do see them try to apply what they have learned from teachers and are unable to correctly use what has been taught to them. It is hard for experienced teachers to change the way they teach but as a new teacher I will help students construct thier own understanding so that they can benefit on thier own. My concern is, as I stated before that these students will not be able to construct the correct understanding. So am I hurting the students more than I am helping them?