One of the reasons for the failure of many students in mathematics due to lack of continuity and fragmentation explanations of the principles at the basis of thinking. Student reaches middle school from elementary school run, no one type of thinking is different from what he was used to it.
Recognize state of decay the common phenomenon of students who achieve doing well in math up to a certain stage and inexplicably began to fail at an advanced stage? Careful examination of the reasons for their failure state of decay will often base their knowledge. They learned to work, but have not learned to think in new missions serve them. In contrast, a student who learned to think true, will benefit from this ability to precisely when he will meet new material. Because it is sometimes difficult to assess the quality of teaching: immediate results of the test are not always reflect the correct mindset. state of decay The real test may be only after other years, when the teacher generally no longer in contact with his students.
Introduction and why? That the fundamental issue is an obstacle for many is that the fraction. There are several ideas and principles and ways of thinking just broken them indiscriminately and without understanding the students find themselves without understanding and solving future return and "learn" over and over again the same thing without state of decay having to know and understand the ideas and principles you've met on the fracture.
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