Mathematical Research

To be able to learn mathematics well and fun, we can present creative ideas about mathematics in meaningful learning and fun. Empowerment of students in learning mathematics through the presentation of creative mathematics, the development of research and learning of school mathematics. To make the study, needed some way to be included in the study of mathematics. The existence of references that can support our research by looking for one on the internet. The Internet is a vast network, we can know what we want to know because the internet includes up to the rest of the world. Many things can be found there. So, information about the study of mathematics can be found there for finish what we're looking for. We also need to be able to explain the definition of mathematics according to our own thoughts. There are many definitions of mathematics, but everyone has different definitions of mathematics in the making. They have a different opinion and according to those same thoughts and their experiences in learning mathematics. Learning and understanding of the concept can be initiated by inductively through experience or intuition real events. Inductive-deductive process can be used to learn math concepts. Activities can be started with some examples or observable facts, make a list of properties that appear (as a symptom), estimates that the new results are expected, which later proved deductively. Thus, how inductive and deductive learning can be used and are equally important role in learning mathematics. Application of mathematical workings of this kind are expected to form a critical attitude, creative, honest and communicative on the students. Also studied mathematics also has a very favorable destination for all people.
Mathematics learning goals are:
1. Train the way of thinking and reasoning in drawing conclusions, for example through investigation activities, exploration, experimentation, shows the similarities, differences, consistency and inconsistency.
2. Activity Involving Developing creative imagination, intuition, and discovery by developing divergent thinking, Originality, curiosity, make predictions and expectations, and to experiment.
3.Develop problem-solving skills.
4. Develop the ability to inform or communicate ideas among others through verbal conversation, graphs, maps, diagrams, in explaining the idea.
Research requires a proof of Mathematics, Mathematics and proof are two inseparable things. But in this case, the proof is the main focus, for example: Proof of Fermat's Last Theorem. In Mathematics many problems unsolved / proven. We stayed choose one-one and we try to prove otherwise in accordance with the theorem. We took an existing concept and to the extension, then expand and can also develop. For example, modern algebra originally there were only structure Group and grew to appear catagory, universal algebra, etc. By using existing concepts, we can apply it to the field / science. In general, the research projects in this category try to formulate real problems. We can examine an object or a mathematical concept for caracter addition we can explore a mathematical structure that already exists for the search for a new connection objects in it and prove (theorem) that in the end we find new properties of the structure it. Actually this is part of the Characterization Here we examine whether quality of a mathematical object exists or not. As an example we can examine the existence of odd perfect numbers, because until now not known whether odd perfect numbers exist or not.