Rabu, 07 Maret 2012
DOWNLOAD BANK SOAL UJIAN NASIONAL (UN) MATEMATIKA SMP
Untuk membantu Anda memperoleh soal-soal matematika yang digunakan sebagai latihan bagi siswa dalam menyelesaikan soal-soal
Ujian Nasional matematika SMP kami publikasikan dalam bentuk file yang
dapat Anda Download. soal- soal matematika berikut disajikan dalam bentuk file Pdf. Berikut link nya.
Soal Ujian Nasional Matematika SMP tahun 2005. Download
Soal Ujian Nasional Matematika SMP tahun
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Soal Ujian Nasional
March 7, 2012
The MAA celebrates Pi Day every year on March 14 (3/14). Are you planning anything special? We're collecting pi-related photos for our gallery (http://on.fb.me/w9llkD). Send your pi-related photos with a brief description to editor@maa.org.
Selasa, 06 Maret 2012
Explorations beyond M336: the permutohedron
#maths #openuniversity
M336 is a two track level 3 Open University Mathematics Course with geometry track covering frieze- and wallpaper patterns, tilings and polyhedra, and a group theory track covering the Correspondence Theorem, the Sylow Theorems and the classification of Abelian groups. - When you are doing a course you are not only learning the course materials but it also broadens your view on the field. Well, I have seen quite a few new and ( fascinating ) topics lately.
Two short ones in this post and more to follow.
If you are into mathematics I bet that you have seen Inception, not that it is a mathematics movie per se but it is the type of movie math geeks love, I am sure. Anyway, do you remember the scene where Cobb and Ariadne walk on the Seine boulevard where she turns a mirror around and suddenly you see an infinite number of images. There is a name for the symmetry group of that pattern, it is a Dihedral Group with symbol $D_{\infty}$. Part of Group Theory is dedicated to studying that sort of groups, they are called Coxeter groups.
It took a while before I could dream the names of the five regular polyhedra: the tetrahedron, cube, octahedron, dodecahedron and isocahedron. But these are just the tip of the iceberg. There are enough familiar objects I don't know the name of. But there fascinating objects I never even heard of. Like the Permuatohedron for example: it is the n-dimensional generalization of a hexagon.
Exploring new territory in mathematics can be quite fascinating. A library ( brick and / or online ) is a good place to start.
M336 is a two track level 3 Open University Mathematics Course with geometry track covering frieze- and wallpaper patterns, tilings and polyhedra, and a group theory track covering the Correspondence Theorem, the Sylow Theorems and the classification of Abelian groups. - When you are doing a course you are not only learning the course materials but it also broadens your view on the field. Well, I have seen quite a few new and ( fascinating ) topics lately.
Two short ones in this post and more to follow.
If you are into mathematics I bet that you have seen Inception, not that it is a mathematics movie per se but it is the type of movie math geeks love, I am sure. Anyway, do you remember the scene where Cobb and Ariadne walk on the Seine boulevard where she turns a mirror around and suddenly you see an infinite number of images. There is a name for the symmetry group of that pattern, it is a Dihedral Group with symbol $D_{\infty}$. Part of Group Theory is dedicated to studying that sort of groups, they are called Coxeter groups.
It took a while before I could dream the names of the five regular polyhedra: the tetrahedron, cube, octahedron, dodecahedron and isocahedron. But these are just the tip of the iceberg. There are enough familiar objects I don't know the name of. But there fascinating objects I never even heard of. Like the Permuatohedron for example: it is the n-dimensional generalization of a hexagon.
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| Permutohedron |
Exploring new territory in mathematics can be quite fascinating. A library ( brick and / or online ) is a good place to start.
March 6, 2012
Don't miss these new books in the MAA eBooks Store and save 10% on your entire order by using our coupon code.
Campaign to officially pardon Alan Turing
In the UK a campaign has started to officially pardon Alan Turing, ( probably ) the greatest mathematician of the 20th century and a war hero who literally saved Great Britain.
From the Guardian:
Despite Gordon Brown's official apology in 2009 there are still people who don't get it. Unbelievable, isn't it?
From the Guardian:
... In 2009, Gordon Brown issued an official apology for Turing's treatment by the British government, a signed copy of which is including in the exhibition. However, a campaign to have Turing officially pardoned was rejected by justice minister Lord McNally last month.
"I think it's enormously regrettable – he ought to be pardoned," said former culture secretary Chris Smith at the launch of the exhibition. "This country treated him outrageously and we should be honouring him by removing any stain from his record, his character, his history and saying that we got it wrong – he didn't." ...
Despite Gordon Brown's official apology in 2009 there are still people who don't get it. Unbelievable, isn't it?
Senin, 05 Maret 2012
March 5, 2012
The MAA celebrates Pi Day every year on March 14 (3/14). Are you planning anything special? We're collecting pi-related photos for our gallery (http://on.fb.me/w9llkD). Send your pi-related photos with a brief description to editor@maa.org.
Sabtu, 03 Maret 2012
An algebraic proof of Fermat's Little Theorem
Let $G$ be an abelian group. Define a scalar multiplication over $\mathbb{Z}$ as follows: $$n \cdot g = \underbrace{g+g+\cdots+g}_{n \ \text{times}}.$$ Note that in this case $|G| \ g=0$. ( We turned $G$ into a $\mathbb{Z}$-module. )
For primes, the multiplicative group $\mathbb{Z}_p$ is abelian, $| \mathbb{Z}_p | = p-1$ and the identity element is $1$. Let $a \in \mathbb{Z}_p$ and the multiplicative notation of $|G| \ g=0$ becomes $a^{p-1} \equiv 1 \bmod{p}$. But this is just Fermat's Little Theorem!
For primes, the multiplicative group $\mathbb{Z}_p$ is abelian, $| \mathbb{Z}_p | = p-1$ and the identity element is $1$. Let $a \in \mathbb{Z}_p$ and the multiplicative notation of $|G| \ g=0$ becomes $a^{p-1} \equiv 1 \bmod{p}$. But this is just Fermat's Little Theorem!
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| Fermat |
Jumat, 02 Maret 2012
Overtime
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| Greatest game ever? UNC vs Kansas and Wilt, 1957 |
Driving home from the observation today, I heard one of those short family advice radio spots. (One of the signs of advancing age is listening to talking on the radio. Mostly NPR, but today I wandered.) The speaker commented how he loves a good overtime game, almost regardless of sport. It's tense, the teams are evenly matched, the end is in doubt. These are often the most remembered games. His advice was to create similar moments in family life. If the kids are really into something, let them stay up for another half hour. If there's a moment happening, encourage it. (I'm not being coy here, I'd link the guy if I knew who it was.)
It didn't take me too long to connect it to the topic of the day. In dealing with slope, there was a problem about a roof. There's a chance there for a question: "why would the slope of a roof matter?" In an observation earlier this week there was deep engagement from students in an activity modeling Black Rhino population with exponential decay. The teacher asked "what could have caused this?" and the atmosphere turned on a dime. They had done an investigation on the school staircase's the day before and a student really clicked with it. I think as teachers we often have an agenda, and are well determined on where class is going and what we've got to get done. And we miss those moments that deserve an overtime.
Do you have a story about an overtime moment that became a memorable class occasion? Two that come to mind for me are a #mathchat-inspired discussion with preservice secondary math teachers last fall, and a triangle geometry activity with preservice teachers that literally turned into overtime as students stayed 25 min past the end of class to discuss the triangles.
Bring on the Math Madness!
March 2, 2012
Don't miss these new books in the MAA eBooks Store and save 10% on your entire order by using our coupon code.
Kamis, 01 Maret 2012
March 1, 2012
Don't miss these new books in the MAA eBooks Store and save 10% on your entire order by using our coupon code.
Rabu, 29 Februari 2012
Dicap 'Guru Edan', Juli Eko Sarwono Justru Sabet penghargaan
Raut ceria selalu tampak pada wajah Juli Eko Sarwono (49), guru matematika SMP Negeri 19 Kabupaten Purworejo. Dengan sabar, ia berpindah dari meja kelompok satu ke kelompok lainnya. Sembari melempar dadu terbuat dari kertas, ia dengan sabar meminta muridnya melakukan uji statistik peluang munculnya angka. Dimeja lain, ia meminta murid perempuannya mempresentasikan rumus volume kerucut dengan caping kertas bekas sebagai modelnya.
Biasanya, pelajaran matematika merupakan momok bagi pelajar. Hingga sekarang, mungkin masih ada sebagian pelajar yang masih merasa dipusingkan dengan angka dan rumus. Bergelut dengan kalkulator hingga sempoa, serta menghitung berbagai fungsi dan persamaan.
Namun tidak bagi kelas yang diampu Juli Eko Sarwono. Wajah riang, penuh semangat dan serasa tanpa beban tampak pada raut murid-muridnya. "Saya mencoba membuat matematika menjadi menyenangkan, jika murid sudah suka, transfer ilmu akan mudah," ujarnya kepada KRjogja.com, sekolahnya, Selasa (31/1).
Model yang digunakan Juli sebenarnya sederhana. Ia mencoba merubah paradigma pelajaran matematika yang tidak lepas dari angka dengan memasukkan alat peraga. "Saya menyebut cara ini metode kontekstual, apa adanya," paparnya. Lanjutnya, metode tersebut terbilang jitu untuk diterapkan pada anak usia SMP. Lanjutnya, pelajar mampu mengimajinasikan rumus-rumus yang ada dalam buku dengan menerapkan langsung pada berbagai alat peraga.
Sebelum menerapkan metode tersebut, ia mengaku otoriter dalam mengajar. Selain itu, semua harus kaku diterapkan berdasarkan buku pelajaran yang digunakan. Namun, jelang kenaikan kelas, murid mengecap Juli sebagai guru galak dan mereka merasa tidak nyaman selama belajar. "Target nilai matematika terpenuhi, disisi lain, murid menganggap saya galak, mereka jadi tidak nyaman. Itu yang membuat saya berpikir untuk merubah cara mengajar siswa," katanya.
Bahkan, guru yang hanya lulusan Pendidikan Guru Sekolah Lanjutan Pertama (PGSLP) tahun 1986 itu mengaku kerap memasukkan sepeda motornya ke dalam kelas sebagai media belajar siswa. Sepeda motor itu, ia jadikan contoh ketika Juli mengajarkan tentang lingkaran dan benda tabung. "Mereka praktik sendiri, mengukur sepeda motor saya, dan akhirnya menerapkan rumus matematika untuk menghitung," ucapnya.
Mengajar dengan cara seperti Juli bukan tanpa tantangan. Saat mengawali metode itu beberapa tahun silam, rekan sekerja melayangkan protes. Setiap kali usai mengajarkan matematika, ia meminta murid menempelkan hasil perhitungan berbagai rumus di tembok kelas. Selain itu, alat peraga juga dianggap bikin sumpek dan mengotori ruang kelas. Ia juga pernah dianggap sebagai guru 'edan' lantaran cara mengajar yang dinilai aneh.
Namun, setelah metodenya berhasil mencetak nilai bagus dan kenyamanan dalam belajar, ia justru didukung teman sekerjanya. Bahkan, sekolah meminjaminya satu kelas khusus untuk laboratorium matematika. "Kelas ini khusus matematika, jadi seperti laboratorium namun sederhana. Setiap pelajaran matematika untuk kelas sembilan, diajarkan di kelas khusus ini," paparnya.
Keberhasilan cara mengajar Juli juga membuatnya menjadi pembicara pada sejumlah seminar nasional bertema pendidikan di sejumlah tempat dan stasiun televisi. Ia tidak mempersoalkan dirinya tidak pernah lulus sebagai sarjana. Ia juga mengaku tidak masalah jika belum lolos uji sertifikasi. Juli merasa cukup dengan penghasilannya sebagai guru dan berwiraswasta. Sepulang mengajar di SMP 19 Purworejo, ia berjualan bakso keliling di lingkungan rumahnya di Desa Jogonegoro Kecamatan Mertoyudan Kabupaten Magelang. "Lumayan, dapat tambahan penghasilan sedikitnya Rp 70 ribu setiap hari," ujarnya.
Dicap 'edan' ternyata tidak membuat Juli Eko Sarwono minder. Justru hal itu makin terlecut semangatnya untuk terus maju menjadi yang terbaik. Bahkan, karena kiprahnya, Juli mendapat penghargaan sebagai 'Good Practices' di bidang pendidikan oleh lembaga donatur asing Decentralized Basic Education 3 (DBE 3) - USAID.
Kepala SMPN 19 Purworejo Daryanto SPd menambahkan, sekolah mendukung metode pembelajaran yang diterapkan Juli Eko Sarwono karena terbukti bisa mengangkat nilai siswa. Nilai rata-rata sudah naik dari 5,4 menjadi lebih dari 7,5 untuk mata pelajaran matematika. "Kami dukung penuh, selain kebijakan juga dengan membangun laboratorium khusus matematika," ungkapnya. (Jas)
Sumber : krjogya.com
Kepala SMPN 19 Purworejo Daryanto SPd menambahkan, sekolah mendukung metode pembelajaran yang diterapkan Juli Eko Sarwono karena terbukti bisa mengangkat nilai siswa. Nilai rata-rata sudah naik dari 5,4 menjadi lebih dari 7,5 untuk mata pelajaran matematika. "Kami dukung penuh, selain kebijakan juga dengan membangun laboratorium khusus matematika," ungkapnya. (Jas)
Sumber : krjogya.com
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