MATHEMATICS

Senin, 30 November 2009

Hieroglyphic Being - So Much Noise 2 Be Heard




MATHEMATICSCD007

1. So Much Noise 2 Be Heard
2. Belief & Reality
3. Gayemende
4. Vibrations & Harmonies - Revisited
5. The Universe We Recide In
6. The Visitation
7. The Stairway 2 Heaven
8. Ravished By The Truth
9. 2 Bath In The Black Sun
10. Manifactured Skin
11. The Lost Realms
12. Irreversible (Written In 1996)
13. Thinking In Circles
14. The Ritual Of Transformation
15. A Visitor Of Someone Else's Memories


Steve Poindexter - Music From Mathematics




MATHEMATICSCD006

1. IAMTHATIAM - The Human Aura
2. Late Invitation - The Late Invitation Theme
3. Aeroplanes - Ils Disent Que L'Orient Est Rouge
4. Contra Communem Opinionem - Conscious Choice
5. Hieroglyphic Being - Space Is The Place (Original Galaxy Studio Session)
6. Bocca Grande - Adlibitum (Take 2)
7. Analogous Doom - The Polyhedron Nest
8. Audio Atlas - Guatemalla
9. Andreas Gehm - My So Called Robot Life
10. Stabil Elite - Hogans Run
11. Chris Moss Acid - Naphthalene Sunset (Piano Mix)
12. Takeshi Kouzuki - Running Rhythm (Off The Wall Edit)
13. Marcello Napoletano - Back 2 The Riot


Contra Communem Opinionem - An Emotional Moment With The Sun




MATHEMATICS 032

A1. An Emotional Moment With The Sun

A2. The Falling Sun
B1. The Brightest Time Of The Day
B2. A Radiance Of Love Part 1


Various - Music From Mathematics Vol. 2




MATHEMATICS 031

A1. Chris Moss Acid - Naphthalene Sunset - Piano Mix
A2. Contra Communem Opinionem - Baliarides
B1. Audio Atlas - Guatemalla
B2. Contra Communem Opinionem - Input Selection


Various - Music From Mathematics Vol. 1




MATHEMATICS 030

A1. Sir KaTie - SHOUT
A2. Marcello Napoletano - Space Voodoo
B1. Olfryght - A Hand In The Sky
B2. I.B.M. Presents Violence FM - 2 Live & Die


IAMTHATIAM - And On The 3rd Day EP




MATHEMATICS 029

A1. And On The 3rd Day
A2. The Healing Begins
B1. Inri
B2. The Wall Of Breath


Marcello Napoletano - A Prescription Of Love EP




MATHEMATICS 028

A1. A Prescription Of Love
A2. Pianeta Juno
B1. Jazz Del Sottopassaggio
B2. Linguetta Acida - A Hieroglyphic Being Re-Duction
B3. Amici


Steve Poindexter Presents Andreas Gehm - My So Called Robot Life EP




MATHEMATICS 027

A1. My So Called Robot Life Part 1 - RL8RX Free The Robots Version
A2. My So Called Robot Life Part 2
B1. My So Called Robot Life Part 3 - Salvation RmX
B2. My So Called Robot Life Part 4 - ERocTiC Sabians Rmx
B3. My So Called Robot Life Part 5 - Vox Version


Les Aeroplanes - Impersonnel Naviguant EP




MATHEMATICS 026

A1. Ils Disent Que L' Orient Est Rouge
A2. 36 F
B1. Impersonnel Naviguant
B2. Trajectoires


Composed by Adrien Durand

Lil' Louis - French Kissing EP




MATHEMATICS 025

A1. Nice & Slo
A2. Jazzmen
B1. French Kiss - Untitled Mix
B2. French Kiss - Tongue And Tongue


Hieroglyphic Being - So Much Noise 2 Be Heard


CD One:
1. So Much Noise 2 Be Heard - Intro
2. The Earth Chronicles
3. Belief & Reality
4. Gayemende
5. IAMTHATIAM
6. The Universe We Reside In
7. The Visitation
8. The Stairway 2 Heaven
9. Unafraid Of Solitary Pain
10. Ravished By The Truth
11. The Unborn Soul
12. 2 Live In Fear

CD Two:
1. 2 Bath In The Black Sun
2. The Ritual Of Transformation
3. The Battle For The Mind
4. Finger Prints Of The Gods
5. Manufactured Skin
6. Thinking In Circles
7. The Hunger Game
8. When Time Began
9. A Visitor From Someone Else's Memories
10. Behind The Green Door
11. The Lost Realms


Adonis Presents Pop Dell' Arte - No Way Back - Tribute EP




MATHEMATICS 024

A. No Way Back - Nu-Disco Long Player By Adonis
B1. Querelle - The Dark Knight Mix By Steve Poindexter
B2. 2 Far Gone - No Way Back Dub - By The Circle Jerks


Various - Music From Mathematics CD




MATHEMATICSCD03

1. Dimitri Pike - Exotica B
2. Jack Frost - Te Adoro Acido
3. IAMTHATIAM - Vibrations & Harmonies 2
4. Adonis Presents Hieroglyphic Being - Residue
5. Contra Communem Opinionem - Tired Feet
6. AfricanswithMainframes - Inscription
7. Ed Dmx - Can't Remember
8. Area - Digerati
9. Adonis Presents Noleian Reusse - Lover's Jak
10. Dimitri Pike - Exotica D
11. Hieroglyphic Being - Temple Of The Moon
12. Basic Soul Unit - Mmme
13. Chris Moss Acid - Niacins Touch
14. Contra Communem Opinionem - Late Loops - Steve Poindexter Rmx


Hieroglyphic Being - So Much Noise 2 Be Heard




MATHEMATICS 023

A1. Fingerprints Of The Gods
A2. 2 Bath In The Black Sun
B1. Behind The Green Door
B2. MB Trax V
C1. The Pineapple Effect - Future Jazz Version
C2. Encounters Of A Third Kind - Ambient Signatures 1
C3. I Am That I Am - New Age House Re-Make
D1. The Theme From Alexia - Ragtyme House Re-Take
D2. O Ceu Ajuda Nos - Original
D3. So Much Noise 2 Be Heard - Electronix Outro


Takeshi Kouzuki - Japanese Rhythms EP




MATHEMATICS 022

A1. Whirlpool
A2. Japanese Rhythms
B. AF. Metro


Hieroglyphic Being Presents Analogous Doom - Living In A Zome EP




MATHEMATICS 021

A1. Lost Together
A2. Living In A Zome
A3. The Polyhedron Nest
B1. Angle Of Attack
B2. Do I Look Italian? - Hieroglyphic Being Re-Edit

Bocca Grande - The Bremen Orchestra EP




MATHEMATICS 020

A1. Procedere
A2. Adlibitum
B. Bremen Orchestra - Re-edited / Re-make


The b-side was conducted by Hieroglyphic Being

Basic Soul Unit - Lotus Roots EP




MATHEMATICS 019

A1. Lotus Roots
A2. Virgo Mood
B. Mmme


Contra Communem Opinionem - Tired Feet EP




MATHEMATICS 018

A1. Tired Feet
A2. Dreamin
B1. Cruising
B2. Silence In The Morning


EDMX - Can't Remember EP




MATHEMATICS 017

A1. Can't Remember
A2. 808 Jam
B1. Whiskey Lima
B2. Boost


Chris Moss Acid - London's Calling EP




MATHEMATICS 016

A1. Niacin's Touch
A2. Acid Buddy
B. Washing Faces - A Hieroglyphic Being Cleansing


Ministry - The Missing EP




MATHEMATICS 015

A1. The Missing
A2. The Angel


I.B.M. Presents Monsieur Black - Hurt U / No Love EP




MATHEMATICS 014

A1. Something So Wrong - Kill Exist Mix
A2. No Love
B1. Hurt U
B2. Controversy feat Bronques
B3. Hurt U / No Love (I.B.M. Re-Think-Re-Do Concept)

Lil Louis - Blackout (Phase 3)




MATHEMATICS 013

A. Blackout - Phase 3
B1. Wargames - Medusa's Love & Hate Mix
B2. God Is Watching U - Vault Classics

Hieroglyphic Being - Cosmic Dust EP




MATHEMATICS 012

A1. Quasars And Starfields
A2. A Time Warp Synthesizer
B. Cosmic Dust

Steve Poindexter - Maniac (Unreleased & Reworked) EP




MATHEMATICS 011

A. Maniac - Original 1988 Extended Acid Replay Version
B1. Maniac - Area's Lost Meaning Version
B2. Feen For Rhythm - Belgium Acid Beat Mix
B3. Short Circuit - C64 Bypass Mix


Remixes by Area (B1), Dimitri Pike (B2), and Noleian Reusse (B3)

Africans With Mainframes - Watusi EP




MATHEMATICS 010

A1. Watusi - Steve Poindexter Ritual Acid Reprise
A2. Bantu
B. Les Jour Acide Ne Pas Bouger Immobile


Hieroglyphic Being - The Sound Of Music EP




MATHEMATICS 009

A1. Letters From The Edge
A2. Other Side Of Time
B. Space Is The Place (Intro)

Adonis Presents Noleian Reusse - Images EP




MATHEMATICS 008

A. Images
B. Lovers Jak


Jack Frost - Tom Tom EP




MATHEMATICS 007

A. Tom Tom - Expanded '87 Version
B. Te Adoro Acido


Jack Frost = Adonis

Hieroglyphic Being - The Temple Of The Moon




MATHEMATICS 006

A. The Temple Of The Moon
B. The Temple Of The Sun


A 7" release pressed on blue translucent vinyl

Africans With Mainframes - Save The Robots EP




MATHEMATICS 005
A1. Save The Robots
A2. Pluto
A3. Lambdoma
B1. Inscription
B2. Micro-Electronique
B3. Auto Küss


I.B.M. - My Life As A Skinny Puppy




MATHEMATICS 004

A1. High Voltage
A2. Batteries Not Included
A3. Limelight 80
B1. My Life As A Skinny Puppy
B2. Blade Runner
B3. Crash Palace


Here is the first introduction to I.B.M. 'Batteries Not Included' later appears on The Dirty Criminals' (DeeCoy, Traxx, Hieroglyphic Being) 'Organized Confuzion' album on Gigolo Records

Adonis Presents Hieroglyphic Being - If




MATHEMATICS 003

A1. If
A2. Isosceles
B1. Aristotle
B2. Modulo
B3. Residue


Hieroglyphic Being - The Acid Test Pt. 1




MATHEMATICS 002

A1. Circular Motion
A2. Inconsistent Measure
A3. Fraction
B1. Rational Expression
B2. Ellipse

The original 'Acid Test' was released in 1998 on a limited 500 copy 2x12", CD & cassette.

Steve Poindexter Presents Africans With Mainframes




MATHEMATICS 001
A1. Land Of Ur
A2. Mousiyani
B1. Church People
B2. Limelight 80'

The VERY 1st Mathematics 12"



M.A.R.S 001
Steve Poindexter featuring Hieroglyphic Being 
A. Untitled
B. Untitled 

This is how it all started, an untitled 'white label' from 1996. Two insane tracks that sound like absolutely nothing else. Some called it innovative, some called it wack, some called it crazy...but if you ever heard it, consider yourself lucky because this is virtually impossible to find.

IAMTHATIAM - IAMTHATIAM


1. Vibrations & Harmonies 1
2. Vibrations & Harmonies 2
3. Vibrations & Harmonies 3
4. Vibrations & Harmonies 4
5. Vibrations & Harmonies 5
6. Vibrations & Harmonies 6
7. Vibrations & Harmonies 7
8. Vibrations & Harmonies 8
9. Vibrations & Harmonies 9
10. Vibrations & Harmonies 10
11. Vibrations & Harmonies 11
12. Vibrations & Harmonies 12


An ultra limited CD (500 copies) and digital release which is also the first introduction to IAMTHATIAM - an alias of Jamal Moss that focuses more on the experimental, ambient soundscapes.

Kamis, 26 November 2009

Free Mathematics Software

Following Mathematics software are excellent for use in Math classrooms.
#1 GeoGebra


#2 Graph


#3 C.a.R

Senin, 23 November 2009

Net Result

I really enjoy designing nets (2-D plans that fold up into 3-D objects), and I love designing them in dynamic geometry, where you can design all nets. If I ever got the time to do math research again, I can see going in that direction.

I designed these four sketches for my geometry class, which is working on a project to design their own package with a few constraints. Each sketch is available as a dynamic webpage or the geogebra file. Here's 5 nets that were made with the sketches, in a printable pdf format. Geogebra actually has very nice priniting controls, so if you're interested in designing your own, choose that option. Remember you can install it, or run it from your browser at geogebra.org.

General tetrahedron: webpage or geogebra file

Square pyramid: webpage or geogebra file

Convex oblique pentagonal prism: webpage or geogebra file

I was very disappointed that the above sketch, though intuitive, couldn't make concave prisms. This next sketch is the answer, but would be a muddle to try to figure out how it was made. The net is pretty though, for designing solids, and I'm proud of it as work.

General Oblique Pentagonal Prism: webpage or geogebra file

Note that you can use the pentagonal prism nets to make quadrilateral and triangular prism nets by making some of the base vertices collinear.

Let me know what you think, and send me your dynamic geometry design challenges!

PS> I also wrote up a memoir for my class of how I made the pyramids (which really sounds egotistical; reminds me of a Tom Lehrer line about "even the Pharoahs, had to import, Hebrew braseros" Listen at the link. If you do, check out Lobachevsky, a great math song.) Sorry for the ramble - I'm tired. Here's the memoir.

Sabtu, 21 November 2009

Math Teachers at Play 20

The new Math Teachers at Play Carnival is up at Denise's Let's Play Math! blog. Besides the interesting puzzle she starts with, and the hilarious math FAIL images, there were a few posts I found especially interesting:
Due to the new monthly structure, there was a heap of submissions this time around. Check it out!


Rabu, 18 November 2009

Constructivism and WatchKnow

Two interesting web links to pass on:

1) Interesting essay found by Michael Paul Goldenberg (no relation) at Education Notes Online: a teacher and parent commenting on constructivism and the math wars in NYC. There is some really interesting math happening in the city classrooms, in particular the Math in the City project, and the essay is a good read. Check it out: The Math Wars Revisited: Lisa, Why Doth I Love Thee....


2) New web resource: one of the founders of Wikipedia has started a collection of educational videos that is rapidly growing and becoming comprehensive. It's called WatchKnow. Everything from Carl Sagan addressing the shape of space-time (I was just talking about that with my students...) to a geometric solids story starring Sniffer Bob (which is what we were discussing...). The rating system will become really helpful as the site matures, I think.

Jumat, 13 November 2009

Pick On Someone Your Own Size

Definitely the longest game name I've ever used. But the fourth graders who piloted the game have decided, and who am I to argue.

Pick on Someone Your Own Size
A Math Mystery Game

Fourth grade students in Mrs. Bruckbauer’s class described this as a math mystery game, because you’re trying to find out what the other player’s hiding.

Materials: game sheet, calculator (if needed for checking), scrap paper for making your plays.

How to Play: Each player comes up with 3 numbers that add up to 1000. When both players are set, they fill in the fight boxes from largest to smallest. You get a point when you have the greater number.

For example, 800, 100, 100 and 500, 300, 200; player 1 gets 1 point and player 2 gets 2 points. It’s okay to have two of your numbers be the same. If your number is equal to an opponent's, no points.

Player1 Player 2
800 > 500
100 < 300
100 < 200
1 point 2 points

You play for five rounds, and the person with the most points wins.

Player 1 Score ....................................................................... Player 2 Score


PDF of the game.

Teaching with the game: I started with a guessing game. I picked a number between 0 and 1000, and they tried to guess it, using only my more or less answer as clues. I picked 673, and the students took turns guessing. I wrote down on the resulting comparison. using x for my number, like x>89. They guessed: 89, 587, 1000, 998, 823, 650, 657, 760, 700, 699, 689, 666, 680, 676 and 673. (I wrote 673, then x then filled in the =, to great rejoicing, x=673.) Just refreshing use of the comparison relation, and seeing how they were with ordering numbers in the hundreds. They really enjoyed this, and I think that could be turned into a lesson of its own.

Then I played me vs. the students, as I often like to teach games. It solidifies rules and shares some strategies. My triples were (900,99,1), (500, 250, 250), (501, 498, 1), (350, 350, 300), (501, 301, 198). As the students played later I saw them using several variations on these, and also the idea of modifying a previous guess.

The game was really engaging, and students took their guesses seriously. I watched at first, and a couple hadn't really gotten the adds to 1000 idea, and several had to be reminded to put their guesses in order. I went back and forth on that in design, but it really worked well for game play.

Rules they wanted to add were having 1/2 point or 1 point each for ties, and playing an extra set if it ends in a tie. The ties were nice for getting the students to modify their guesses up or down a few ticks.

The math involved encourages students to think about sums to nice numbers, as well as how to partition 1000. I shared with students how they could pick two numbers and do 1000-sum to find the third. We had calculators for them to quickly check their opponents picks, but mostly they did it in their head. Several students, not too familiar with the calculators, really enjoyed playing with them to try different numbers.

Game analysis: it's a little more interesting than you might think, kind of a nuanced Roshambo. (Rock-Paper-Scissors) The three basic strategies are big-small-small, medium-medium-small, and third-third-third. Of course, you can win by a point, and that's where some nuance and psychology comes in. Much like Rock-Paper-Scissors.

Let me know if you give this a try and what you think! Thanks to Denise at Let's Play Math! for catching the missing instruction.

Senin, 09 November 2009

Permen No 75 Tentang Ujian Nasional

Tepatnya tanggal 13 Oktober 2009, di akhir masa jabatannya sebagai Mentri Pendidikan Nasional pada kabinet Indonesia Bersatu I Bambang Sudibyo mengeluarkan peraturan mentri no 75 tentang Ujian Nasional. Ada beberapa hal yang agak sedikit berbeda mengenai pelaksanaan Ujian Nasional 2010 dengan Ujian Nasional tahu 2009, antara lain :1. WaktuUjian Nasional tahun ini akan dilaksanakan pada minggu

Minggu, 08 November 2009

Jangan Pernah Menyerah dengan Matematika

Windy adalah salah satu siswa yang terkenal di kelas matematika selama duduk di bangku SMA. Di kelas sewaktu sekolah, memang ada beberapa siswa yang sangat terkenal dan dikenal oleh guru dan teman-temannya. Biasanya siswa tersebut pinter, jagoan di kelas atau sebaliknya- siswa yang ekstrem satunya, “ngga bisa apa-apa” atau “katrok” bangetlah pinjam istilahnya Tukul Arwana. Dan sayangnya, Windy masuk kategori yang ekstrem kedua, seringkali dianggap ‘nothing’ dalam pelajaran matematika. Setiap habis ulangan bisa dipastikan dia salah satu siswa yang harus mengikuti kelas remedial. Sehingga julukan “Mr. Remidi” melekat padanya.
Apakah Windy, diam dan menyerah begitu saja? Bagi kebanyakan siswa ketika dirinya dianggap “nothing” oleh kebanyakan teman dan gurunya dia biasanya akan menyerah, diam dan tidak melakukan apa-apa, cenderung memandang rendah dirinya sendiri, nggak percaya diri dan lebih percaya kalau dirinya memang nggak bisa apa-apa. Tapi hal itu ternyata tidak untuk Windy! Dia mengakui memang dirinya lemah dalam pelajaran matematika. Dia menyadari dia kurang dalam pelajaran ini. Tapi dia masih punya dua hal, pertama, keyakinan bahwa matematika bisa dipelajarinya, kedua dia memiliki ketekunan. Mungkin dua hal itu, yang tidak dimiliki oleh banyak orang yang menyerah terhadap matematika. Dengan dua hal itu Windy bertahan untuk terus belajar matematika.


Windy yang SD dan SMPnya ditempuh di Papua dan ketika menginjak SMA melanjutkan studi di Yogyakarta itu, memang menyadari benar kemampuannya. Dia tidak malu mengakui bahwa dirinya butuh lebih banyak waktu untuk memahami suatu materi matematika dibanding teman-temannya yang lain. Mungkin sekali dijelaskan, teman-temannya sudah paham. Tapi windy butuh dua atau tiga kali penjelasan untuk materi yang sama. Untunglah, guru matematikanya seorang pastor yang memiliki kesabaran dua atau tiga kali lebih banyak daripada guru matematika biasa dan mau membuka kelas matrikulasi untuk siswa-siswa yang tertinggal dalam pelajaran matematika.
Untuk mengejar ketertinggalannya Windy selalu mengikuti kelas matrikulasi matematika yang diadakan sore hari di sekolahnya. Selain itu, dia juga menyediakan waktu khusus untuk belajar matematika sendiri, entah untuk mengulangi materi atau mengerjakan PR. Jadi bisa dipastikan, Windy adalah salah satu siswa di kelas dan mungkin di sekolahnya yang selalu mengerjakan PR matematika. Meski juga bisa dipastikan dari pekerjaan itu banyak yang salah juga. Tapi dari mengerjakan PR itu, dia sedikit-sedikit tahu kesalahan yang dibuatnya, bisa belajar dari kesalahan-kesalahan yang dibuatnya tersebut dan memperbaiki kesalahan itu lewat mengerjakan ulang PR yang salah itu.
Windy memang “Mr Remidi”, setiap kali ulangan dia memang boleh dikata nilainya hampir selalu dibawah standar ketuntasan belajar. Tapi nilai hasil remidi yang diikutinya pasti selalu diatas tujuh puluh, tak jarang mendekati nilai sempurna. Dan jangan heran, meski jagoan “remidi”, Windy lulus SMA dari jurusan IPA. Kini ia sedang menyelesaikan tugas akhirnya di jurusan Teknik Informatika di salah satu PTS cukup terkenal di Yogyakarta. “Jangan pernah menyerah dengan matematika, meski sesulit apapun. Dia akan memberikan pada kita sesuatu yang memang pantas untuk diperjuangkan. Cara berpikir, bernalar yang benar, berpikir secara logis dan sistematis.” Ungkapnya penuh keyakinan. “Kamu boleh tidak percaya, tapi saya sudah membuktikannya!” Percaya deh…

Berbagi Matematika

Pak Yanto, begitu dia sering disapa, mengakui suka dengan matematika sejak kecil. Dan jika ditanya “mengapa suka matematika?” hingga sekarang dia selalu mengatakan tidak tahu alasannya. “Suka saja!”, begitu ia selalu menjawab. Sewaktu SD matematika adalah pelajaran favoritnya. PR yang selalu dikerjakannya adalah PR matematika. Bahkan ketika tidak ada PR pun dia selalu memaksa ibunya untuk membuatkan soal PR matematika.
Namun, kesukaannya terhadap matematika sempat meredup ketika SMP. Nilai matematikanya tidak cukup memuaskan buat dirinya, meskipun jika dibanding teman-temannya yang lain sebenarnya lebih dari cukup. “Waktu di SMP, guru matematikanya tidak menyenangkan.” kilahnya. Namun demikian, dia tetap belajar matematika meski standar seperti teman-teman lainnya, tidak seperti waktu di SD dulu.
Sewaktu SMA minatnya pada matematika kembali tumbuh. Di sekolah dia dikenal sebagai jago matematika oleh teman-temannya. Setiap pagi, dia selalu menjadi orang yang paling ditunggu di kelasnya. Teman-temannya sudah banyak yang antri untuk melihat dan mencontoh PR atau tugas matematikanya. Kadang malah ada yang pagi-pagi sudah nyamperi kerumahnya. Resikonya, karena “digilir” banyak temannya, kertas pekerjaannya jadi lecek dan tak jarang sobek. Untuk itu kadang dia harus buat tugas yang dikumpul rangkap dua. Maka jangan heran, kalau dia sering terpilih mewakili sekolah untuk mengikuti lomba matematika meski selama SMA itu tak satupun kejuaraan yang dimenanginya. Tapi itu tidak membuatnya surut menyukai matematika. Sebaliknya, hal itu membawanya pada kesadaran bahwa dia belajar matematika untuk tahu, mengerti dan paham tentang konsep matematika dan kalau bisa membagi apa yang diketahuinya itu pada teman-teman lain yang mau belajar matematika, bukan untuk menjadi juara lomba matematika, apalagi sekedar mendapatkan nilai matematika yang baik. Kesadaran baru itu semakin membawanya pada rasa suka yang lebih besar terhadap matematika.
Pada waktu SMA itulah, ia juga berinisiatif mengajari teman-temannya belajar matematika seminggu dua kali untuk persiapan ujian nasional di sekolahnya. Dan hasilnya, semua teman satu kelasnya lulus, meski dia sendiri hanya memperoleh nilai 6,25 untuk pelajaran matematika.
Kecintaannya terhadap matematika membuatnya memilih jurusan pendidikan matematika di salah satu PTS terkemuka di Yogyakarta, sebagai pintu masuknya menjadi guru untuk berbagi matematika dengan banyak orang. Kini ia pun menjadi guru matematika dan berbagi matematika dengan murid-muridnya.

Jumat, 06 November 2009

Golden Math Cartoon & Math Teachers at Play 19

I had to post this. I'm trying to help edit a collection of extension activities for Geometry being put together by teams of students under Char Beckmann for the Michigan Council of Teachers of Mathematics. (The Sum More books - more as they become available.) One of the activities involves cutting up a cartoon and then trying to arrange it in order to make the idea of arranging arguments in order in a proof. Long ramble, here's the cartoon: (Click for full size)



Their take on a pi joke. Pretty good for 9 and 10, eh? I inked it, and was told I boffed Fiddlestick's mouth in the last frame. They did a great job putting in clues as to what comes next.

Math Teachers at Play 19 (back on numbering) came out last Friday. My contribution was Area Block. The carnival is moving to a monthly schedule, which I think will be good. What was most fascinating to me:
  • Maria Anderson, just up the road in Muskegon, is doing amazing work with technology in a math for elementary teachers class. I've got to meet her sometime!
  • Jason Dyer's post on a reading experiment was interesting. (I wonder if it has to do with this cognitive miser issue. (Not a MTAP link.)
  • Kendra at the Pumpkin Patch had a cute, quick sum game.
Lots more interesting stuff, including Sue (the host, Math Mama) interviewing a micro-photographer about his math.

Selasa, 03 November 2009

Mencari beda dalam deret aritmetika

Salah satu bentuk soal matematika yang sering muncul dalam materi deret adalah mencari beda dalam deret aritmetika. Sebagaimana telah diketahui sebuah beda dalam deret aritmetika dapat dicari dengan aturan mencari selisih antara sebuah suku dengan suku sebelumnya, selain itu beda dalam deret aritmetika ( yang berhubungan denga Sn ) juga bisa dicari menggunakan aturan Un = Sn - Sn-1.Berikut adalah