The Nature of Mathematics Thinking

What is Mathematics ?

There are 2 points to be a good mathematician :

1.      Abstacted        : to think only selected characteristic of object

2.      Idealized         : assuming to be perfect characteristic

Object characteristics of mathematician are color, value, term, etc. They are will always be our daily experiences. Mathematics can train us to improve our logic ability and how to apply them in everyday. One of our rationality or our logic is math object, for example is 6x4 = 4+4+4+4+4+4, it’s different with 4x6 = 6+6+6+6. In fact, that value of math operation are same, but the concept are different. It indicated that mathematicians have high logic, which make them can solve the mathematics problem.

What happen in our mind ?

Our mind can make a marvelous idea. It is begun from perception. Perception makes our mind stimulate and then we can imagine something that captured by our peception. If we had have an imagination, automatically we can create the concept. The concept is foundation to get decision. But, before that we must understand about our concept and finally we can get a judgement. In our mind is loaded about many experiences, which good or bad momment. Our past memory can be reference in our daily life, so we can do everything which base on our experience. Mathematics can be applicated in our life, it stimulates our logic to solve many problems. The problem must be analysed and then after we get problem solving, we can evaluate that solution.

If we do something based on that steps, we can get success, knowledges, good atitude, skill, and also valuable experience. Finally, we become competence in mathematics, especially in english for mathematics.

Volcano of Mathematics

Intuitive Mathematics

The concept of small, big, near, far away, close, tall, short, good, etc.

Bruner Theory

1.      Mathematical Thinking

2.      Mathematical Method

3.      Mathematical Atitude

4.      Mathematical Content

If we want to have mathematical thinking, we must combine spiritual, philosophy, and normative  in our life. Mathematics can support our spiritual. Philosophy will direct our mind become mathematical thinking. We aren’t only think about mathematics, but also we must do everything based on normative.