Kamis, 27 November 2008


History is a key to open any memory in the past. With history, we can study many things, such as to know many famous figures with the finding, take the lesson from many fault in the past and correct it in the future.

In science of mathematics, we also know knowledge that called history of mathematics. We can study many things from a period before century until now. We can know famous figures in the past and the finding so we can use it to support our lesson. We also can more appreciate with the finding from the figures.

A. Activity in class

I never think before in science of mathematics, I will study history of mathematics. At the first meeting, our teacher asked to study history of mathematics we must have many sources, examples from books, CD, internet etc. He also gives us 4-point foundations to lesson history:

  1. Dreams
  2. Attitude
  3. Ability in communication
  4. Browsing internet

Those points can support us to study history of mathematics.

Then our teacher shows us containing from “Britannica Encyclopedia”. In there, we can get more information quickly. In the next meeting, our teacher asks many things about history of mathematics. History can shows from two aspects, artifact and idea. In history, we study the fact of the past but there are any problems such as the sources especially documents was very old so we need internet to up date the documents.

There is some manner to study mathematics:

  • Empiric: observation, draw a conclusion with induction

Example: Pythagoras develops a theory, then we calls theorem of Pythagoras.

  • Deduction: this manner develop by Euclid’s, he created book calls “the elements” consist of 13 books containing what referred as definition, postulate or axiom. Euclid also called as father of mathematics axiom.

Then Aristotle discovers infinite regress: the turning meaning which never ends.

There are two worlds in mathematics:

  • Believe that mathematics have a reason
  • Disbelieve that mathematics have a reason

A person said that mathematics must have dynamic foundation he is Immanuel Kant. He said that mathematics has foundation calls epistemology but in fact, epistemology is knowledge has not any foundation.

B. Activity outside class

In the second meeting, we get a duty, created the erudite masterpiece. Therefore, we search the sources to answers the questions. There are some questions, examples the different in mathematics between the periods of the Ancient Egypt and Greek, Pythagoras service and role to mathematics growth, Euclid’s finding, etc. Then, I got book entitle “the history of mathematics”, that book I refer to doing the duty. From the book, I get much information that I have never find previously. In there, I know that Pythagoras never find a theorem in right triangle that hypotenuse square is amount of other square two sides, Pythagoras only gives best verification systematically. Babylonian people have recognized that theorem since Hamurabi periods. Therefore, after I read the book I get the fact from the Pythagoras theorem. Besides that, I also read about mathematics in Babylonia and Egypt periods. Babylonian people used burned clay tablet as equipment to write while Egypt people used papyrus. Papyrus is ancient material to write as a paper made from water grass called papu. There are some papyruses in there, likes Moscow Papyrus, Rhind Papyrus, Rollin Papyrus, and Harris Papyrus.

Besides Pythagoras, that book also discuses the finding from many intellectual, likes Thales, Euclid, Eudexus, Plato, etc. Eudexus service in mathematics is proportion theorem that finished “logic scandal” about irrational number. Euclid’s service is created a book calls “The Elements” consist of 13 books discuses geometry, number theorem and elementary or geometry algebra. From the book, we can find intellectual like Paul Tannery, T.L. Heath, H.G. Zeuthan, A. Rome, J.L. Heiberg and E. Franle in tracing again history of mathematics in Ancient Greek. They only used sources from report in Arab and Nasrani report. They were reorganizing original report like Euclid, Apollonius, Archimedes, etc.

1 komentar:

icak_caki_andhika mengatakan...

dirimu ngapain e Kom!!!!!
hehe.....KOKOM gituuu......