COMPARISON BETWEEN TRADITIONAL AND INNOVATIVE TEACHING MATHEMATICS

Most people have heard that it's difficult to learn mathematics. Why is that? Is that difficult? Is it possible for being too abstract? Mathematics is an abstract class, but not impossible difficult to learn. Whether or not it is difficult to learn mathematics is influenced by various factors. Factors that could be from students and from teachers. Of teachers is a big factor, especially in the use of the method. Do teachers teach only explain or to innovate? A teacher must know and understand about the comparison between traditional and innovative teaching mathematics.
Teaching mathematics in a "Transfer of Knowledge" by the teacher is the traditional method and is less effective. A teacher should let the students themselves who find their knowledge in their own way but remains guarded and not deviate from what is taught. For example, in the teaching of the surface area of a cube. Using props and asks students to find their own cube surface area will greatly help students increase their creativity. This is called teaching by building their own knowledge, but still get guidance from the teacher. The way teaching is more effective to use than teaching in a "Transfer of Knowledge".
A good teacher is a teacher who gives the facility, not as a leader or control the course of teaching and learning activities. Let the students themselves who are looking for how the settlements existing problems in learning mathematics. If they find it difficult, then served as their mentor teacher.
Teach abstract mathematics can not be expository only be done with it. In addition will only make you tired teachers and students, expository method is less appropriate when used to teach these things in abstract mathematics. Use another method in which if the more effective. For example, the method of discussion, guided discovery method, use props, linked with everyday life, and others. This is obviously very helpful and more effective when compared with expository method alone.
Teaching mathematics in a "Transfer of Knowledge", the teacher as an actor or a leader of learning activities, and the expository method is the traditional way of teaching that are less effectively implemented. In contrast to the teaching of mathematics by means of "Construct of Knowledge" of the student, the teacher is a facilitator, and the variation of the method performed in the study. This is called an innovative way of teaching. In essence the students are the main actors in the study. There is a concrete example of each of us as a teacher. Are we including the use of traditional ways of teaching or the use of innovative ways of teaching?