THE POWER OF CATEGORY AND NETWORKING

Immanuel Kant (1771) mentions that in mind we already have four categories, namely:
- Qualitative, which includes reality, negation, and limitations.
- Quantitative, which includes unity, plurality, and totality.
- Category, where there are various possibilities about the existence and needs.
- The relationship, which consists of the substance, causes and communities.
The fourth category above have links with mathematics education, namely that there is intention in mind to implement a phenomenon. Intentions we begin with an awareness of space and time. Thus, there is an abstraction and idealization in it. Abstraction think about certain qualities favored, while the idealization considered perfect property there. All the things that do not need to be included in epoche house, so that is in our minds is the concept gained through abstraction and idealization. As a result, the phenomenon becomes knowledge about science teaching and learning mathematics, we need a way of thinking from the bottom up and from top to bottom. Top-down method should require theories, reference, we can get from books, journals, and search reports.
The things we do can become routine, widespread, and intensive. If you routinely work but remain passive and spread the way it works, will produce a narrow-intensive work. Our focus in science teaching and learning mathematics is mathematics each student can think, so we need a reference.
According to Katagiri (2004), students' mathematical thinking has three aspects, namely:
- Attitude
- Method
- Content
When students do mathematical thinking and mathematical properties associated with the existing school, which is a pattern, solve problrm, investigation and communication, there will be a network. Oeh talk like William Blake, "No bird flying too high when he rose with his own wings" That's what this illustrates how important a network. However, in order to create a network, we are also asked to be patient but active and proactive in giving, both in the form of service or other contributions to individuals or groups. Has value to others, by creating partnerships that provide convenience and variety of value in their favor. If we look back at the phenomenon that we have proof. Furthermore, if we go further, it will result in the analysis. This is if the item described will be an instrument of research. research instruments can be used for observation, the material question for the question siswaserta materials for teachers. From the research that has been done, the instrument can analyze the data to generate a conclusion.