What do you think about mathematics? What is the real mathematics?
School mathematics and university mathematics are different. At school, we study a pure math, but at university we not only study a pure mathematics but also applied mathematics.
There are many definition of Mathematics. Mathematic is a science and truth. Mathematic is the body of knowledge. And mathematic just lies in mind. Mathematics do not need a concrete things because the mathematics objects are abstract.
There are two ways to get the mathematics objects, there are:
1. Use a technical abstraction ---> not a shape
For the example: if we think about 5 (five), there are many characteristic in five. But in mathematics, we think about the value of "five".
2. Use a technical idealism ---> assumptions
1. Conjure ---> to think and to predict.
2. Convince ---> to communicate the result to the other people.
Prof. Katagiri from Japan said there are three aspects in mathematics, they are:
1. Mathematical Thinking
2. Idealization
3. Analogy
There are two mathematics process in Realistic Mathematics, they are:
1. Mathematics Horizontal ---> process from the real life to the mathematics symbol.
2. Mathematics Vertical ---> systems of the mathematics.
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