Brain Dump

The Hermeneutic of Pure Mathematics   The figure shown expresses the Hermeneutic of pure mathematics. Pure mathematics uses logic but not always have the experience in life. But mathematics knowledge always has the experience which related to life. It is true that experiences develop intuition of pupils. Experiences sharpen the intuition because from experience we learn more than mathematics. The problem will come out when teacher use traditional way to deliver the material. This is the chart that shows the solving of traditional learning. Teachers are required to remain innovative in learning activities . Let the students develop according to his ability . Teachers should be glad if an advanced student is smarter than the teacher . In traditional teaching , there is only material transfer from teacher to student . Pupils are not given the opportunity to argue in public . In an innovative learning process , students compared with seed plants.

ICEBERG Approach in Realistic Mathematics Mathematics is abstract, I admit that. Until now I still think that mathematics is complicated and always become the ‘unseen’ thing. If I, the university student, still think mathematics is abstract thing, then how about children in elementary school and junior high school? Maybe they will think that mathematics is from the outer-space. Realistic mathematics divides mathematics itself into four kinds: concrete mathematics, concrete model, formal model, and formal mathematics. Concrete mathematics is the lowest mathematics because we use a concrete object to deliver the material. The highest is, of course, the formal mathematics. Formal mathematics is used in university, used by mathematicians. We can say that formal mathematics is the abstract one. To facilitate students to understand the material, teacher can use the ICEBERG method. Here is the construction of ICEBERG. The floating capacity represents the mathematics learning

The Reflection of ICEBERG Approach of Learning Fractions in Junior High School: Teachers’ Reflection Prior Lesson Study Activities   Mathematics and language are two important elements in using of ethno mathematics. The learning process never blames the students. Students’ learning problem always comes from the elder. The elder, in this case the teacher, should not blame students. The teacher has to make some innovations in learning process. If the teacher always blames the students, it means the teacher has no innovation in learning process. If the teacher still blames the students, it means the teacher forces students too much. If teacher forces students too much, then students will feel and believe every material the teacher gave is hard. They will see the materials or assignments as a burden. Every human being wants to be free. Then education must set every human free: free to think, free to give argumentations, free to get democracy, and free to live freely. Herm