The Power of Category and Networking

Based on Kant (1771) in human mind there are quantitative, qualitative, category, and relationship. We take an example of a title, “Mathematics Education Phenomena” there will have intension from mind to that and it starts form awareness. There will have so many things to think, but on this case we just need to know about its shape, length, weight, and so on. Character that is not have a relation with mathematics, we put them in epoche house. Epoche house is a place that we use to put other characteristic that we don’t need from mathematics. Characteristic that we put in epoche house are, the smell, the color, and so on. Then we need other characteristic that mathematics has abstraction and idealism. Abstraction is where our mind describes what we have seen on reality into something that can we imagine. And idealism is think every mathematics objects are perfect. We can say there is no totally straight line, but because of idealism from mathematics characteristic we can say that is straight line.

Mathematics Education Phenomena, this is still matter a phenomena. If we want make this phenomena become science of teaching learning mathematics we need “bottom to top” mind. Bottom to top means there are references we need to get the theory of what we get in mathematics phenomena. The references are some theories, from books, journal, research report, etc. There are so many science of teaching learning mathematics, we can take an example of “student’s mathematics thinking” and we take the theory of Katagiri (2004) assume that student’s mathematics thinking has three aspects, there are attitude, method, and content.


Pattern Problem Solving Investigation Communication


Attitude V V V V

Method V V V V

Content V V V V


From that table we can say that we need attitude, method, and content to make a pattern. We need all of those three when we make problem solving, do an investigation, and have a communication either.
We need to bring the result of our research to the previous to get evidences and we make a step forward to make analysis. And we can get instrument from that table above, there are so many types of instrument of research there are observation that can be check list, essay, etc, then questions to the teachers, questions to the students, and so on.

Then we need to analysis the product that we get from the instrument to reduce conclusion.