Galileo and The Leaning Tower of Pisa experiment

http://en.wikipedia.org/

Aristotle (384-322 SM), ilmuwan dan filsuf Yunani, meyakini bahwa benda-benda yang berat jatuh lebih cepat daripada benda-benda yang lebih ringan, dan prinsip ini diterima sebagai suatu kebenaran selama beratus-ratus tahun. Hingga kemudian pada abad ke enam belas, Galileo melakukan suatu percobaan dengan menjatuhkan dua buah  logam dari menara miring Pisa. Terlepas dari fakta bahwa berat salah satu logam adalah dua kali berat logam yang lain, keduanya menyentuh tanah pada waktu yang sama.

Aristotle (384–322 B.C.), Greek scientist and philosopher, believed that heavy objects fall faster than lighter ones, and this principle was accepted as true for hundreds of years. Then in the sixteenth century, Galileo produced a counterexample by dropping two pieces of metal from the Leaning Tower of Pisa. In spite of the fact that one was twice as heavy as the other, both hit the ground at the same time.

For the demonstration and more explanation, we can see on this following link:
Galileo Drops the Ball (SEED Science)

 

Where does e come from?

“Where does e come from?”, the question delivered by a father who came to my office at one day. He was asked by his senior high school son. I frowned and was quiet for a moment. I tried to explain what I knew about it. Obviously, a doubtful explanation could not convince someone. Hence, I searched the answer on the website and it is in these following paragraphs.

like the other constants, the number e is not necessarily confined to the modern cage where current lore likes to place it.  We know it as the base of the natural logarithms and as a pillar at the gate to higher mathematics, and our histories of mathematics trace this constant back only to Renaissance times.  Many people assume therefore almost automatically that it must be a relatively recent discovery.

 

Perkalian Oh Perkalian

Perkalian merupakan topik yang sangat penting dalam pembelajaran matematika karena sangat sering dijumpai penerapannya dalam kehidupan sehari-hari. Seperti halnya operasi yang lain, pembelajaran perkalian dipilah dalam 2 hal, yaitu perkalian dasar dan perkalian lanjut. Perkalian dasar yang dimaksud adalah perkalian dari dua bilangan yang masing-masing merupakan bilangan satu angka, sedangkan perkalian lanjut adalah perkalian selain perkalian dua bilangan satu angka. Jadi dapat berupa perkalian bilangan dua angka dengan bilangan satu angka, bilangan satu angka dengan bilangan dua angka, bilangan tiga angka dengan bilangan satu angka, bilangan tiga angka dengan bilangan dua angka, dan seterusnya (Marsudi dkk, 2009).

Secara tidak sadar, orangtua atau bahkan guru, membandingkan kemampuan berpikir anak dengan dirinya, termasuk dalam perkalian. Seringkali muncul ungkapan kepanikan dan kekesalan ketika anak tidak bisa mengerjakan soal-soal perkalian yang menurut kita sangat mudah. Tidak jarang pula mereka membandingkan kemampuan anak dengan anak-anak lain yang sementara harus disadari bahwa setiap anak memiliki tingkat kecepatan dalam memahami dan ingatan yang berbeda-beda.

Pada siswa kelas III SD misalnya, ada siswa yang tidak mengalami kesulitan dalam menyelesaikan berbagai macam soal perkalian bilangan satu angka dengan bilangan dua angka, dan perkalian lanjut pada kelas-kelas selanjutnya dikarenakan pada kelas II sudah dipelajari perkalian bilangan satu angka. Kenyataannya masih ada siswa yang mengalami kesulitan dalam hal ini dikarenakan kurangnya pemahaman pada perkalian bilangan satu angka yang dipelajari di kelas II. Hal ini menunjukkan pentingnya pemahaman tentang perkalian bilangan satu angka di kelas II karena menjadi dasar untuk memahami operasi-operasi perkalian lanjut pada kelas selanjutnya.

 

Phytagoras tree (fractal)

From Wikipedia, the free encyclopedia

The Pythagoras tree.

The Pythagoras tree is a plane fractal constructed from squares. Invented by the Dutch mathematics teacher Albert E. Bosman in 1942,^[1] it is named after the ancient Greek mathematician Pythagoras because each triple of touching squares encloses a right triangle, in a configuration traditionally used to depict the Pythagorean theorem. If the largest square has a size of L × L, the entire Pythagoras tree fits snugly inside a box of size 6L × 4L.^[2][3] The finer details of the tree resemble the Lévy C curve.

 

Experimentation of Mathemathics Learning Using Contextual Teaching and Learning Approach and Problem Posing Approach Viewed from Students’ Learning Activity

Sri Rejeki, Budiyono¹⁾, Sutrima²⁾

Department of Mathematics Education

Sebelas Maret University-Surakarta

Abstract

The purpose of this research determined: (1) whether the learning of mathematics in material of operations in integer by using CTL approach would be better than Problem Posing approach (2) whether students who had high learning activity would have a better achievement than students who had  moderat learning activity, student who had moderat learning activity would have a better achievement than students who had low learning activity, and  students who had high learning activity would have a better achievement than students who had moderat learning activity (3) whether for students with high in learning activity, moderat learning activity and low learning activity, CTL approach have a better achievement than Problem Posing approach. (4) wether in CTL approach, students who had high learning activity would have a better achievement than students who had moderat learning activity and students who had low learning activity, then students who had moderat learning activity would have a better achievement than students who had low learning activity. (5) wether in Problem Posing approach, students who had high learning activity would have a better achievement than students who had moderat learning activity and students who had low learning activity, then students who had moderat learning activity would have a better achievement than students who had low learning activity.

 

Hello world!

This is my first post in this weblog. Mengutip sebuah hadits, ‘…dan sebaik–baik manusia adalah orang yang paling bermanfaat bagi manusia.” (HR. Thabrani dan Daruquthni), I hope that I can be one of those people. Hence, hopefully this weblog can be a tool to give contribution especially in case of mathematics education.
Bismillahirrohmanirrohim…^_^