Mathematics is an effective learning for teachers and students where with mathematics , both this role will work well together with each other. The role of teachers is to educate students to understand what will be given by these teachers. In this case, is educate about the mathematics. A teacher who will teach mathematics have to understand exactly what is meant by "the nature of mathematics". A certain teachers was once also a student who study what is given by teachers. Until he became an teachers he was actually still have to learn, learn and learn.
Lessons learned by teachers over time will definitely increase its level. Once we are a novice, but gradually we will become the experience because the experience that we get as long as we learn that makes us experienced. Teaching mathematics to students is not easy, we must know who our students themselves. We need to communicate to our students about learning mathematics well and precisely in place. For example, if we teach children, children's patterns of thought must have been much different with the pattern of adult’s thinking. Thus the thinking patterns of children continues to be "concrete material". We teach our children about math is still with the concrete props or real props. Unlike we teach mathematics to adults, adult thought patterns must have been developed towards maturity. Patterns of thinking people nowadays have to be "abstract material". Adults have to think about abstract objects. The ability of thinking adults and children also different, therefore we must know what is meant by "the nature of mathematics" or “the nature of school mathematics”.
“the nature of mathematics” or “the nature of school mathematics” are:
1. Mathematics is a search for pattern and relationship.
2. Mathematics is a problem saluting activities.
3. Mathematics is an investigation activities.
4. Mathematics is a mean of communicating.
If we understand well be the nature of mathematics "or" the nature of school mathematics ", we will become a good teacher.