![]() ![]() ![]() Courses offered by the Department of Mathematics and Science Education integrate theoretical considerations in the field with methodology and practical applications in the selected primary, middle, and high schools. Courses offered by the Faculty of Education include curriculum and professional studies introducing various aspects of education, psychology, guidance, and classroom management. Graduates are expected to be reflective and competent educators, sensitive to the demands of their job, responsive to a developing education system and technological requirements, committed to continuing their own professional development, and ready to play a leading role in the field of science and mathematics education.Īll programs include courses offered by the departments of the Faculty of Arts and Sciences (predominantly in the first two years) and the Faculty of Education starting from the first year to the final year. With the strong focus on research, the programs prepare students to be informed consumers of educational research, to carry out action research as practitioners and as strong candidates for graduate studies. The programs also encourage students to benefit from experiences in both formal and informal learning settings investigating the teaching of science and mathematics. The department aims to produce science and mathematics educators who are able to meet the increasing demand for high quality teaching. The Department of Mathematics and Science Education coordinates several teacher education programs, namely Science Education, Primary School Mathematics Education, Chemistry Education (and Teaching Chemistry), Secondary School Mathematics Education (and Teaching Mathematics), and Physics Education (and Teaching Physics). Retrieved 24 November 2022.Professors : Emine Adadan, Emine Erktin, Ebru KayaĪssociate Professors : Engin Ader, Sevil Akaygün, Serkan Arıkan, Gülseren Karagöz Akar, Sevda Yerdelen Damar, Fatih Çaglayan Mercan, Serkan Özel, Fatma Aslan Tutak, Ebru Zeynep MuğaloğluĪssistant Professors : Kemal Akoğlu, Olga Gkioka, Devrim Güven, Yeşim İmamoğlu, Gaye Defne Ceyhan MacLellan, Özden Şengül In fact, if they assume the Elliott–Halberstam conjecture, then they can also show that primes within 16 of each other occur infinitely often, which is related to the twin prime conjecture. Then Janos Pintz joined the team and they completed the proof in 2005. This result was originally reported in 2003 by Dan Goldston and Cem Yıldırım but was later retracted. In other words, for every c > 0, there exist infinitely many pairs of consecutive primes p n and p n+1 which are closer to each other than the average distance between consecutive primes by a factor of c, i.e., p n+1 − p n < c log p n. Lim inf n → ∞ p n + 1 − p n log p n = 0 In 2005( ), with Dan Goldston and János Pintz, he proved, that for any positive number ε there exist primes p and p′ such that the difference between p and p′ is smaller than ε log p. He is currently a faculty member at Boğaziçi University in Istanbul, Turkey. ![]() He obtained his B.Sc from Middle East Technical University in Ankara, Turkey and his PhD from the University of Toronto in 1990. Middle East Technical University (BSc, 1982)Ĭem Yalçın Yıldırım (born 8 July 1961) is a Turkish mathematician who specializes in number theory. ![]()
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