Innovation of Mathematics Education

Mathematics is our daily life. Almost in all of our activity are use mathematics. The understanding of mathematics is extend during the history and historian that solve mathematics from simple problem, thinking about it, and proof it until try the mathematics as a system, this is in formal system. Today, pure mathematics or formal system based on definition, axiom, theorem, and etc. The pure of mathematics haven’t problem with can or can’t. It can be proud of itself as a mathematics for mathematics.but, the problem is when we try to communicate it in school, starting from in kidergarten, elementary school, junior high school, and senior high school. So, pure of mathematics just for adult people that in university (as a student university). They are people who are choosen and like to thinking about number.
When we are in school, we need mathematics that appropriate with psychology of our students. The teachers must adapt themselves with student’s world. It is not only for teacher that must adapt to the another’s world, but almost all of things or occupation must adapt with the object. If we are as a teacher don’t adapt ourselves, we are will coarsed. Ebort and Striker (1995) define that mathematics in school as:
1.    Mathematics is research of pattern and relationship
2.    Problem solving activity
3.    Investigation activity
4.    Mathematics is a mean of communication
          Then, the nature of student learn mathematics:
1.     Student will learn mathematics effectively if they have good motivation and good perception
2.    Student will learn mathematics individually
3.    Student can learn mathematics in collaboration with others
4.    Student learn mathematics contextually
The teacher need to make a paradigm or way how to teaching. There are two paradigms or methods:
1.    Traditional method
In this method, student as an empty vessel, this method use transfer of knowledge paradigm, “give and direct”. Today , this method isn’t effective. Teacher must make sure everything they thought were understood by the student. Thus it was a good method, where there was efficient communication between teacher and students. There was also the typical way and a controllable class where the teacher would teach on the blackboard, explained, asks students to copy and made sure students paid attention and listen.
Besides that, the traditional way in disciplining students in school and teaching them was an effective way in building a good characteristic student where students were afraid of their teacher and respect them. But it is also have some weakness. Teacher assume that all of student have same level of knowledge in the subject, student just have a little appreciate and they will feel bored easily and they will feel difficult to learn mathematics because it is too formal.
2.    Innovated method
This method, every student as a seed that if it is given a chance will grow and in the sometime it will give a result (constractivism method). Teachers just as a fasilitator to fasilitate the student. To facilitate well, they must develop the technology. They are also know that student have a different level in knowledge. This method presents students with problems that are authentic and relevant to them and allows them to find their own solutions as they build knowledge.
 But in innovated method, students become too independent where they think they don’t need guidance from anybody because they think they can accomplish anything by themselves.
 
Altough there are two different of ways or method to teaching mathematics to student, the both of them are same. They have some benefit and also some weakness. Then, wich one will we use? It depend on where will you use and how the condition. But, today the traditional method is less to use than the innovated method. Because with the develop of period, we are demanded to be more creative and more usefull than before.
 
References:
http://rickatz.blogspot.com/2008/04/traditional-teaching-vs-modern-teaching.html
http://www.lotsofessays.com/viewpaper/2000213.html

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