The object of mathematics,
- Abstraction
Abstraction isn’t same with abstract. Abstract mean something not concrete, then abstraction mean characteristic and descriptive. The example, we think about “5”, it is green or it is from wood or it is beautiful, etc. But not all from the example is used. In mathematics we only use the value.
- Idealism / idealization
It means art. Art to make question of exercises.
Assume that needle is sharp and pointed, in the reality nothing is sharp and pointed.
Define of mathematics
Structure of system mathematics built in deductive. Consist of formula, define, axiom, theorem, rule, pattern, etc.
The characteristic of mathematics is logic and consistent. Consistent mean one formula to another formula.
Prof. Kayastesi from Melbourne said that mathematics consists of two.
- Conjecture
To think or to predict
- Convince
To communicate the result
Prof. Katagiri from Japan said that mathematics consist of three.
- Mathematical attitude
If someone doesn’t like the attitude, the reality is someone has attitude.
Good attitude mean positive thinking, consistent, critical, and careful.
- Mathematical method
How to get mathematics or how to learn mathematics
The meaning of mathematics based from philosophy, so that one another to another is different to assume the meaning of mathematics.
Study of mathematics in inductive. First meeting is know, second is know by heart, etc. The example of study of mathematics in inductive is logic, the specific of logic is silogism. There are mathematical sentence, direct proof, inverse proof, and also inductive mathematics.
- Mathematical content
Realistic of mathematics consist of two.
- Horizontal mathematics
Daily mathematics and concrete
- Vertical mathematics
Abstract
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