- \n
- Yukar\u0131daki c\u00fcmlelerden anla\u015f\u0131laca\u011f\u0131 \u00fczere, “ara\u015ft\u0131rma yapmak”, \u00e7\u0131k\u0131\u015f al\u0131p getirmek demek de\u011fildir.<\/li>\n
- Ara\u015ft\u0131rma boyunca, belli aral\u0131klarla taraf\u0131m\u0131za u\u011franmas\u0131 gerekmektedir. Bunun aksi davran\u0131\u015f bi\u00e7imleri, \u00e7al\u0131\u015fman\u0131za ait puanlamada, “\u00f6rtmenimle i\u015fbirli\u011fi” ba\u015fl\u0131kl\u0131 k\u0131s\u0131m bahane edilerek aleyhinize kullan\u0131labilir.<\/li>\n
- “Ara\u015ft\u0131rma” veya “d\u00f6nem \u00f6devi” raporu son bir iki haftada haz\u0131rlanmaz.<\/li>\n
- Nedeni anlat\u0131ld\u0131ktan ve “\u00f6yle \u015fey olur mu evlad\u0131m ? Bak \u015fundan bundan dolay\u0131 …” dendikten sonra, \u00e7al\u0131\u015fman\u0131n kaynak k\u0131sm\u0131na, yine de “Google”, “Yahoo”, “Msn”, “Altavista”, “Netbul” yazan ki\u015fi cahil veya sinir bozucudur. (Bak\u0131n\u0131z “Bilmemek de\u011fil, \u00f6\u011frenmemekte \u0131srar etmek ay\u0131pt\u0131r”)<\/li>\n
- Haz\u0131rlam\u0131\u015f oldu\u011funuz \u00e7al\u0131\u015fman\u0131n “sunum ve g\u00f6r\u00fcn\u00fcm itibar\u0131yla g\u00fczel olmas\u0131”, ilgili konuyu \u00e7al\u0131\u015fm\u0131\u015f veya kavram\u0131\u015f oldu\u011funuz anlam\u0131na gelmez. Buna kar\u015f\u0131n, \u00f6zenli ve titiz bir \u00e7al\u0131\u015fma iyi bir etki b\u0131rakaca\u011f\u0131 gibi, \u00e7al\u0131\u015fmay\u0131 inceleyen ki\u015fiyi de memnun edecektir.<\/li>\n
- D\u00f6nem \u00f6devini uygun \u015fekilde yapmaman\u0131z, ve bahsedilen kriterlere uymaman\u0131z durumunda, d\u00f6nem \u00f6devinden alaca\u011f\u0131n\u0131z k\u0131r\u0131k not ortalaman\u0131z\u0131 d\u00fc\u015f\u00fcrecektir. D\u00f6nem \u00f6devi alan ki\u015fiye, resmi olarak bir “d\u00f6nem \u00f6devi notu” verilmek zorunda oldu\u011fundan; “Ben yapt\u0131m ama d\u00f6nem \u00f6devi notum k\u0131r\u0131k geldi, o zaman ortalamaya girmesin” gibi \u00f6nerilerin herhangi bir ge\u00e7erlil\u011fi yoktur.<\/li>\n<\/ul>\n
Bunlara ek olarak, d\u00f6nem \u00f6devi veya proje ile ilgili a\u015fa\u011f\u0131daki sorular\u0131 sormak ve benzeri ifadeleri kullanmak yasakt\u0131r:<\/p>\n
- \n
- “Ne yani ? Ben \u015fimdi bunu anlayacak m\u0131y\u0131m ?”<\/li>\n
- “Anlatmak da nerden \u00e7\u0131kt\u0131 ? O kadar da \u00f6zenip s\u00fcsledik…”<\/li>\n
- “\u00c7ok g\u00fczel yazd\u0131m. Ben bundan 100 bekliorum”<\/li>\n
- “Zaten ben bunu anlayacak olsam \u00e2lim olurdum”<\/li>\n
- “Ben ne bileyim o nerden gelmi\u015f ?”<\/li>\n
- “Valla \u015fimdiye kadar vaktim olmad\u0131 da, d\u00fcn sabaha kadar yazd\u0131m. Art\u0131k iyi bir not verirsiniz…”<\/li>\n
- “\u015eimdi ben sizi arad\u0131m hep ama bulamad\u0131m… Bir bakt\u0131m ki \u00f6devin teslim tarihi gelmi\u015f”<\/li>\n<\/ul>\n
Yukar\u0131daki c\u00fcmleler, g\u00f6z\u00fcn\u00fcz\u00fc korkutmak i\u00e7in de\u011fil, bu i\u015fe ba\u015flamadan \u00f6nce bilmeniz gereken noktalar\u0131 a\u00e7\u0131klamak ve sonradan \u00e7e\u015fitli bahanelerle sorumlulu\u011fu \u00fczerinizden atmaya \u00e7al\u0131\u015fman\u0131z\u0131n m\u00fcmk\u00fcn olmayaca\u011f\u0131n\u0131 idrak etmeniz i\u00e7in yaz\u0131lm\u0131\u015ft\u0131r. Akl\u0131n\u0131za gelen ve ilgin\u00e7 oldu\u011funu d\u00fc\u015f\u00fcnd\u00fc\u011f\u00fcn\u00fcz her fikir, taraf\u0131m\u0131za dan\u0131\u015f\u0131lmaya de\u011ferdir. “Bu \u00e7ok basit” dedi\u011finiz bir fikir, asl\u0131nda \u00e7ok \u00f6nemli ve k\u0131ymetli olabilir. Projenin tek amac\u0131, yeni bir \u015fey bulmak, yani “ke\u015fif” de\u011fildir. Matematikteki belli bir kavram\u0131n veya form\u00fcl\u00fcn g\u00f6rselle\u015ftirilmesi, bir materyalle daha anla\u015f\u0131l\u0131r hale getirilmesi de bir proje konusu olabilir. Unutmay\u0131n ki, \u00e7ok basit de olsa, size ait olan bir fikir veya \u00e7al\u0131\u015fma, ba\u015fkalar\u0131n\u0131n bulmu\u015f oldu\u011fu karma\u015f\u0131k bir fikirden \u00e7ok daha k\u0131ymetlidir.<\/p>\n
Konulara gelecek olursak, d\u00f6nem \u00f6devi almak isteyenler, \u00f6ncelikle mevcut ders program\u0131 i\u00e7inden herhangi bir konuyu al\u0131p bunun \u00fczerine \u00e7al\u0131\u015fmay\u0131 se\u00e7ebilirler. Matematik ( ve ayn\u0131 \u015fekilde geometriden ) \u00f6dev \u00e7al\u0131\u015fmas\u0131 yapacaksan\u0131z, ilgi duydu\u011funuz mevcut ders program\u0131ndan bir konu se\u00e7ebilirsiniz. \u00d6rne\u011fin, “A\u00e7\u0131ortay” konusu, geometri dersinin mevcut program\u0131nda yer almaktad\u0131r ve bu konudan tabii ki d\u00f6nem \u00f6devi yapmay\u0131 se\u00e7ebilirsiniz. A\u015fa\u011f\u0131daki ba\u015fl\u0131klar\u0131n baz\u0131lar\u0131, g\u00f6r\u00fcyor oldu\u011funuz ders konular\u0131yla ili\u015fkili olsa da, bir \u00e7o\u011fu ba\u015fka zaman tan\u0131\u015fma f\u0131rsat\u0131 bulamayaca\u011f\u0131n\u0131z konular\u0131d\u0131r. Ba\u015fl\u0131klar\u0131n alt\u0131nda, bu konuyla ilgili arama yaparken kullanabilece\u011finiz anahtar kelimeler verildi. Anahtar kelimelerin \u00e7o\u011funda, arataca\u011f\u0131n\u0131z terime kar\u015f\u0131l\u0131k tatmin edici bir t\u00fcrk\u00e7e kaynak bulamaman\u0131z ihtimali a\u00e7\u0131s\u0131ndan, terimlerin \u0130ngilizce kar\u015f\u0131l\u0131klar\u0131n\u0131 da vermeyi uygun bulduk.<\/p>\n
Fibonacci <\/span>Say\u0131lar\u0131<\/span><\/strong><\/p>\n
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Alt\u0131n Oran
\n<\/span><\/strong><\/p>\nGolden Ratio, Phi, \u0130rrasyonel Say\u0131, Cebirsel Say\u0131, G\u00f6rsel ve plastik sanatlar<\/p>\n
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M\u00f6bius \u015eeridi, <\/span>Klein \u015ei\u015fesi<\/span><\/strong><\/p>\n
Topoloji (Topology), M\u00f6bius \u015eeridi (M\u00f6bius Strip), Klein \u015ei\u015fesi (Klein Bottle), geometri<\/p>\n
<\/span><\/p>\n
Hiperk\u00fcp<\/strong> <\/span><\/p>\n
Hiperk\u00fcp (Hypercube), Tesseract, 4 boyutlu uzay, \u00d6klid Uzay\u0131, boyut
\n<\/span><\/p>\n<\/span><\/p>\n
Hiperbolik Y\u00fczeyler<\/span><\/strong><\/p>\n
Hiperbolik Geometri (Hyperbolic Geometry), Riemann <\/span><\/p>\n
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\u00c7izgeler<\/span><\/strong><\/p>\n
\u00c7izge (Graph, Graph Theory), D\u00f6rt Renk Problemi, Gezgin Sat\u0131c\u0131 Problemi
\n<\/span><\/p>\n<\/span><\/p>\n
\u0130rrasyonel Say\u0131lar <\/strong>(Irrational Number)<\/span><\/p>\n
Rasyonel say\u0131 (rational number), cebirsel say\u0131 (algebraic number), a\u015fk\u0131n say\u0131 (transcendental number), polinom (polynome), yo\u011fun k\u00fcme (dense set),<\/p>\n
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Sonlu \u00d6tesi Say\u0131lar<\/strong> <\/span><\/p>\n
Tek bir sonsuz oldu\u011funu d\u00fc\u015f\u00fcn\u00fcyorsan\u0131z, yan\u0131ld\u0131\u011f\u0131n\u0131z\u0131 anlaman\u0131n zaman\u0131d\u0131r.<\/span><\/p>\n
<\/span><\/p>\n
Cantor, sonsuz, sonsuz k\u00fcme, say\u0131labilir k\u00fcme (countable set), yo\u011fun k\u00fcme (dense set), density (yo\u011funluk)
\n<\/span><\/p>\nHayat Oyunu<\/strong><\/span><\/p>\n
Game of Life, Automata Theory, otomatlar,
\n<\/span><\/p>\n<\/span><\/p>\n
<\/span><\/p>\n
\u015eifreleme<\/span><\/strong><\/p>\n
\u015eifre (Cypher), \u015fifreleme (Cryptology), kriptoloji, Enigma, RSA<\/p>\n
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Fermat Teoremi<\/span><\/strong><\/p>\n
Yakla\u015f\u0131k 400 y\u0131l ispatlanamayan ve kar\u015f\u0131 \u00f6rne\u011fi de bulunamayan bu \u00f6nerme, “teorem” s\u0131fat\u0131n\u0131 1990 lar\u0131n ba\u015f\u0131nda hakedebilmi\u015ftir. Kesinli\u011finden neredeyse emin olundu\u011fundan “Teorem” olarak an\u0131lm\u0131\u015ft\u0131r hep. Modern cebirin (ve matemati\u011fin), bu problemin \u00e7\u00f6z\u00fclmesine y\u00f6nelik ad\u0131mlar sayesinde olu\u015ftu\u011fu s\u00f6ylenebilir. Bu teoremin ispat\u0131n\u0131 anlaman\u0131z pek m\u00fcmk\u00fcn olmad\u0131\u011f\u0131ndan, ilginizi \u00e7ekerse bu konuda yapaca\u011f\u0131n\u0131z ara\u015ft\u0131rma, bir \u00e7ok matematiksel kavramla, bir \u00e7ok matematik\u00e7inin saplant\u0131 derecesindeki matematik tutkusuyla tan\u0131\u015fman\u0131za olanak verebilir. Bu y\u00fczden, \u00e7al\u0131\u015fman\u0131z daha \u00e7ok teoremin tarih\u00e7esi ve \u00e7\u00f6z\u00fcm a\u015famalar\u0131yla iligli olacakt\u0131r.<\/p>\n
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Matematik Mant\u0131k<\/span><\/strong><\/p>\n
\u00d6nerme, basit \u00f6nerme, kapal\u0131 \u00f6nerme, a\u00e7\u0131k \u00f6nerme, Logic (Mant\u0131k), \u00d6nermeler mant\u0131\u011f\u0131, \u00d6nerme ba\u011fla\u00e7lar\u0131, \u00d6nerme i\u015flemleri, Niceleyiciler (Quantifiers), evrensel niceleyici (Universal Quantifier), varl\u0131ksal niceleyici (existential quantifier), tutarl\u0131l\u0131k (consistency), tutarl\u0131 (consistent), tutars\u0131z (inconsistent), tan\u0131ml\u0131 terim, tan\u0131ms\u0131z terim, totoloji (totology), \u00e7eli\u015fki (paradox), teorem (theorem), belit (aksiyom), hipotez, h\u00fck\u00fcm, ispat (proof), olmayana ergi, G\u00f6del, taml\u0131k.<\/p>\n
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Frakt\u00e2ller<\/span><\/strong><\/p>\n
Fraktal, mandelbrot k\u00fcmesi, julia k\u00fcmesi, karma\u015f\u0131k (kompleks) say\u0131, Koch (Koch Snowflake), Cantor Tozu (Cantor Dust), Kaotik sistemler, karma\u015f\u0131k dinamik sistemler.<\/span><\/p>\n
Ayr\u0131ca, \u015fu<\/a>raya u\u011frayarak, ilham alabilece\u011finiz bir \u00e7ok yaz\u0131, animasyon ve a\u00e7\u0131klama bulabilirsiniz. Ve tabii ki, iftahar\u0131m\u0131z ve d\u00fcnyada e\u015fi benzeri pek bulunmayan matematik dergimiz Matematik D\u00fcnyas\u0131<\/a>na u\u011frayarak ar\u015fiv k\u0131sm\u0131ndan eski say\u0131lara pdf olarak ula\u015f\u0131p inceleyebilirsiniz. Video payla\u015f\u0131m siteleri de, baz\u0131 matematiksel kavramlar\u0131n g\u00f6rselle\u015ftirilmi\u015f hallerine ula\u015fmak a\u00e7\u0131s\u0131ndan iyi birer kaynak olarak kullan\u0131labilirler. G\u00fczel \u00e7al\u0131\u015fmalar yapabilmeniz dile\u011fiyle…
\n<\/a><\/p>\n
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