THE NATURE OF MATHEMATICS

Mathematics is one of the knowledge which is in the world. Mathematics is quite near from our life. Mathematics cannot be dissociated from our life, we life in a mathematics environment. Most of us known and recognizing, but there are many of us who didn’t know what is the nature of study mathematics.
The nature of school mathematics.
The nature of school mathematics is consist of :
1. Mathematics is pattern
Mathematics has a characteristic which differentiating with the other science. Mathematics doesn’t study about molecules, or cell, but mathematics concern about number, manipulated of number, type of number although the history of mathematics.
2. Mathematics is communication
Mathematics is used to communication for each other people. Communication in mathematics during learning, listening, teaching and etc. We usually used logic to approximated the something which will be happened.
3. Mathematics is investigation
Mathematics is universal science, mathematics is able to used in many place. In the mathematics, we usually prove some problems with the induction method. Mathematics also used in other knowledge. For example in the economic, we can count the profit and loss with the mathematics.
4. Mathematics is problem solving
Mathematics can be a solution for the problem. Mathematics studying problem closed with the single solution, problem opened with the solution is not single, and problem variously solution. Mathematics also used to solve the problem in other science, mathematics involved in calculating the results of research or experimental physics. And mathematics also used in chemistry, engineering, technique, etc. On the mathematics learning, mathematics study started with the problem recognition matching with situation ( contextual problem).
The nature of student of mathematics
The nature of student of mathematics is :
1. Student needs motivation and spirit
Motivation is the important thing on the student. Teachers must giving motivation to their students. Teachers must giving spirit to their students and to make their dreams come true. Motivation and spirit can come from inside and outside of people. From inside people has have a characteristic which differentiating with other. From outside people usually get the motivation from other people. This is important because people will not stay in high performance but sometimes people will down and make a spirit to get up back.
2. Student is unique
No ones in the world have the same behavior, although the twin. Every people have a characteristic which differentiating for each other. Also student, student is differentiate for each other. Each student doing something according to their habbit. If the students have a bad habbit, teachers must make the students change their habbit smoothly. Student doesn’t like hardness. So the uniqueness must be developed well.
3. Student have competence
Every student must develop their competence, because it can make them easy to continue their study and easy to get success. Competence have there inside the people, but it must be developed.
4. Students is contextuality.