Ömer AKIN Mustafa ÖZKAN Abdulhamit KÜÇÜKASLAN

1070 Pages·2017·15.84 MB·English

Editors:
Ömer AKIN
Mustafa ÖZKAN
Abdulhamit KÜÇÜKASLAN
International Conference on Mathematics and Mathematics Education
(ICMME-2017), Harran University, Şanlıurfa, 11-13 May 2017

International Conference on Mathematics and Mathematics Education
(ICMME - 2017)

Harran University, Şanlıurfa, 11-13 May 2017

©All rights reserved. Throughout this book, or part, without the permission of
the author, electronic, mechanical, photocopying or reproduced in any recording
system, transmitted, stored.

All kinds of information in this book is the responsibility of the authors.

Editors

Ömer AKIN
TOBB Economy and Technology University, Turkey
Mustafa ÖZKAN
Gazi University, Turkey
Abdulhamit KÜÇÜKASLAN
MATDER, Turkey

Assistant Editor

Tuğba YURDAKADİM Hitit University, Turkey

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International Conference on Mathematics and Mathematics Education
(ICMME-2017), Harran University, Şanlıurfa, 11-13 May 2017

REPUBLIC OF TURKEY
REPUBLIC OF TURKEY
MNITSRY OF NATIONAL HARRAN UNIVERSITY
ŞANLIURFA GOVERNORATE
EDUCATION

ŞANLIURFA CHAMBER OF
ŞANLIURFA MUNICIPALITY HARRAN MUNICIPALITY
COMMERCE AND INDUSTRY

EYYÜBİYE MUNICIPALITY HALİLİYE MUNICIPALITY AKÇAKALE MUNICIPALITY

MATDER PALME PUBLISHING ÖZEL UMUT HOSPITAL

AKADEMİK PUBLISHING
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International Conference on Mathematics and Mathematics Education
(ICMME-2017), Harran University, Şanlıurfa, 11-13 May 2017

PREFACE

The International Conference on Mathematics and Mathematics Education
“Mathematics in World's First University” (ICMME-2017) will be held on May 11-13,
2017 in Şanlıurfa, Turkey.
MATDER- Association of Mathematicians is an association founded in 1995 by
mathematicians in Turkey. Up to now, 14 national and 2 international mathematics
conferences were organized by MATDER.
These meetings had traditionally been the main general national conferences
in all areas of mathematics and mathematics education and had been well attended
by mathematicians from academia and ministry of education. The last five
conferences have been held in Elazığ ICMME-2016, Niğde (2015), Karabük (2014),
Ankara (2013) and Samsun (2012). This year ICMME-2017 has been held at Harran
University, Şanlıurfa, Turkey on 11-13 May 2017 as an international conference.
Şanlıurfa is a city in South Eastern Anatolia, Turkey which is near to the historical
and touristic city Harran. It also involves the world's first temple Potbelly Hill (Göbekli
Tepe).
As in the previous meetings, the objective of this conference was to provide us
to meet and discuss current research topics in the fields of mathematics and
mathematics education.
This conference has been organized by MATDER-Association of
Mathematicians and hosted by Harran University.
The topics of interest included;

Mathematics
 Algebra
 Algebraic Geometry
 Category Theory
 Complex Analysis
 Computer Sciences
 Control Theory and Optimization
 Differential Equations
 Differential Geometry
 Discrete Mathematics
 Dynamical Systems and Ergodic Theory
 Functional Analysis
 Fuzzy Logics and Its Applications
 Geometry
 Mathematical Logic and Foundations
 Mathematical Physics
 Number Theory
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International Conference on Mathematics and Mathematics Education
(ICMME-2017), Harran University, Şanlıurfa, 11-13 May 2017

 Numerical Analysis
 Operator Theory
 Probability Theory and Statistics
 Real Analysis
 Topology

Mathematics Education
 Activities and Programs for Students with Special Needs
 Evaluation and Assessment in Mathematics Education
 Improving the Curriculum
 Popularization of Mathematics
 Problem Solving and Modelling
 Reasoning, Proof and Proving in Mathematics Education
 School Organization and Classroom Practices
 Teacher Preparation and Ongoing in-Service Work
 The Use of Mathematics in The Sciences, Informatics and in The Real World
 Using Technology in Mathematics Education

The main aim of this conference was to contribute to the development of
mathematical sciences, mathematical education and their applications and to bring
together the members of the mathematics community, interdisciplinary researchers,
educators, mathematicians and statisticians from all over the world. In the conference
new results and future challenges has been presented in series of invited and short
talks, poster presentations, workshops and exhibitions. The presentations could be
done in English. Moreover, selected and peer review articles will be published in the
following journals:

 Turkish Journal of Mathematics & Computer Science (TJMCS)
 MATDER Mathematics Education Journal

Also, the 5th Mathematics competitions among high schools and chess
tournament have been organized.

On Behalf of the Organizing Committee
Prof. Dr. Ömer AKIN
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COMMITTIEES

HONORARY AND ADVISORY BOARD

İsmet YILMAZ
Minister of National Education, Turkey (Honorary President)
Güngör Azim TUNA
Şanlıurfa Governor, Turkey
Ahmet Eşref FAKIBABA
Şanlıurfa Predecessor Mayor and Member of Parliament
Nihat ÇİFTÇİ
Şanlıurfa Mayor, Turkey
Ramazan TAŞALTIN
Harran University Rector, Turkey
Mehmet EKİNCİ
Eyyübiye Mayor, Turkey
Fevzi DEMİRKOL
Haliliye Mayor, Turkey
Abdülhakim Ayhan
Akçakale Mayor, Turkey
İsmail DEMİRKOL
President of the Chamber of Commerce of Şanlıurfa, Turkey
Metin İLCİ
Şanlıurfa Provincial Director of Education, Turkey
Hasan AKAN
Dean of Art and Science Faculty
Bürhan AKPUNAR
Dean of Education Faculty
Gülten ÖNER
MATDER Founding President, Turkey
Şeref MİRASYEDİOĞLU
MATDER Honorary Board Member, Turkey
Necdet BİLDİK
MATDER Honorary Board Member, Turkey
Tuncay BAŞKAYA
MATDER Honorary Board Member, Turkey
Zafer KARABULUT
MATDER Honorary Board Member, Turkey
Rıfat ERCİYAS
MATDER Honorary Board Member, Turkey
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International Conference on Mathematics and Mathematics Education
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SYMPOSIUM PRESIDENTS

Ömer AKIN Aydın İZGİ
Chairman of the Board, Turkey The Head of Department of Mathematics,
Harran University, Turkey

ORGANIZING COMMITTEE
Mustafa ÖZKAN (President) Mine AKTAŞ
MATDER, Turkey MATDER, Turkey
Ömer ÖZEN (Vice President) Mustafa Kemal SAĞEL
MATDER, Turkey Mehmet Akif Ersoy University, Turkey
Abdulhamit KÜÇÜKASLAN Mümtaz COŞKUN
MATDER, Turkey MATDER, Turkey
Abdullah AYDOĞAN Oğuz Han ERSÖZ
MEB, Turkey MATDER, Turkey
Ali ÖZTURAN Özge DALMANOĞLU
MATDER, Turkey Başkent University, Turkey
Ayşe ALTIN Rabia AKTAŞ
MATDER, Turkey Ankara University, Turkey
Canay AYKOL YÜCE Raziye MERT
Ankara University, Turkey MATDER, Turkey
Dilek SÖYLEMEZ ÖZDEN Rıfat ERCİYAS
Ankara University, Turkey MATDER, Turkey
Fatma TAŞDELEN YEŞİLDAL Selami BAYEĞ
Ankara University, Turkey TOBB ETU, Turkey
Elif TAN Serhan GÜVEN
Ankara University, Turkey MEB, Turkey
Esra DUMAN Sevilay KIRCI SERENBAY
Gazi University, Turkey Başkent University, Turkey
Hasan ES Süleyman DOĞAN
Gazi University, Turkey MATDER, Turkey
Hasan Hüseyin SAYAN Tuğba YURDAKADIM
Gazi University, Turkey Hitit University, Turkey
İlyas HAŞİMOĞLU Tuncay BAŞKAYA
Karabük University, Turkey Atılım University, Turkey
M. Cihat AKKUŞ Yelda Aygar KÜÇÜKEVCİLİOĞLU
MATDER, Turkey Ankara University, Turkey
Mehmet KUNT Zeynep IŞIN
MATDER, Turkey MEB, Turkey
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International Conference on Mathematics and Mathematics Education
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LOCAL ORGANIZING COMMITTEE
Abdullah BAKIR Harun ÇİÇEK
Harran University, Turkey Harran University, Turkey
Abdullah YILDIRIM Işıl BOZKURT
Harran University, Turkey Harran University, Turkey
Döne KARAHAN Kemal TOKER
Harran University, Turkey Harran University, Turkey
Ecem ACAR Mahmut MODANLI
Harran University, Turkey Harran University, Turkey
Ekrem UÇAR Mahmut IŞIK
Harran University, Turkey Harran University, Turkey
Esra ERKAN N. Feyza YALÇIN
Harran University, Turkey Harran University, Turkey
Fatih ÖZBAĞ Selim DEMİRKUTLU
Harran University, Turkey Harran University, Turkey
Halil ARSLAN Zehra VELİOĞLU
Harran University, Turkey Harran University, Turkey

SCIENFTIFIC COMMITTIES
MATHEMATICS
Abdizhahan SARSENBI İsmail KOMBE
South Kazakhstan State University, İstanbul Ticaret University, Turkey
Kazakhstan
Abdon ATANGANA İsmet ALTINTAŞ
University of the Free State, South Africa Sakarya University, Turkey
Abhijit CHAMPANERKAR Jehad ALZABUT
CUNY, TBC Prince Sultan University, Saudi Arabia
Ahmet BEKİR Kemal AYDIN
Eskişehir Osmangazi University, Turkey Selçuk University, Turkey
Ahmet Okay ÇELEBİ Li KUN
Yeditepe University, Turkey Università Politecnica delle Marche, Italy
Alaattin ESEN Luca GUERRINI
İnönü University, Turkey Università Politecnica delle Marche, Italy
Ali ÖZDEŞ M. Necdet ÇATALBAŞ
İnönü University, Turkey Fırat University, Turkey
Alireza KHASTAN Mahmut ERGÜT
Institute for Advanced Studies in Basic Namık Kemal University, Turkey
Sciences, Iran

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International Conference on Mathematics and Mathematics Education
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Andrei VESNIN Makoto SAKUMA
Sobolev Institute of Mathematics and Hiroshima University, Japan
Chelyabinsk State University, Russia
Anna SANDULYAK Martin BOHNER
Moscow State University of Instrument Missouri University of Science and
Engineering and Computer Science Technology, USA
(MGUPI), Russia
Ayhan ERDEN Mehmet BEKTAŞ
Gazi University, Turkey Fırat University, Turkey
Ayhan ŞERBETÇİ Mehmet MERDAN
Ankara University, Turkey Gümüşhane University, Turkey
Baki KARLIĞA Mikail ET
Gazi University, Turkey Fırat University, Turkey
Bülent KARAKAŞ Moha HAJAR
Yüzüncüyıl University, Turkey Moulay Ismail University, Morocco
Carlo CATTANI Mohammad RASHIDI
University of Tuscia - Viterbo, Italy Tongji University, China
Cemil TUNÇ Murat ALP
Yüzüncüyıl University, Turkey Ömer Halisdemir University, Turkey
Christos VOLOS Murat TOSUN
Aristotle University of Thessaloniki, Sakarya University, Turkey
Greece
Cüneyt ÇEVİK Mustafa ÇALIŞKAN
Gazi University, Turkey Gazi University, Turkey
Çiğdem BEKTAŞ Mustafa İNÇ
Fırat University, Turkey Fırat University, Turkey
Devendra KUMAR Mustafa KANDEMİR
Jagan Nath University, India Amasya University, Turkey
Doğan KAYA Naim TUĞLU
İstanbul Ticaret University, Turkey Gazi University, Turkey
El Hassan El KINANI Necdet BİLDİK
Moulay Ismail University, Morocco Celal Bayar University, Turkey
Elman HASANOĞLU Nur ALAM
Işık University, Turkey Pabna University of Science & Technology,
Bangladesh
Emine MISIRLI Nurlan IMANBAEV
Ege University, Turkey International Kazakh-Turkish University,
Kazakstan
Ercan ALTINIŞIK Oktay MUHTAROV
Gazi University, Turkey Gaziosmanpasa University, Turkey
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International Conference on Mathematics and Mathematics Education
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Ercan ÇELİK Rathinavel SILAMBARASAN
Atatürk University, Turkey VIT University, Vellore, Tamilnadu, India
Erhan COŞKUN Rifat ÇOLAK
Karadeniz Teknik University, Turkey Fırat University, Turkey
Etibar PENAHLI Robert TCHITNGA
Fırat University, Turkey Université de Dschang, Cameroon
Eva KASLIK Rovshan BANDALIYEV
West University of Timisoara, Romania Institute of Mathematics and Mechanics of
National Academy of Sciences, Azerbaijan
Feza GÜVENİLİR Sadık KELEŞ
Ankara University, Turkey İnönü University, Turkey
Fethi Bin Muhammad BELGACEM Samed ALIYEV
PAAET, Kuwait Baku State University, Azerbaijan
Fevzi ERDOĞAN Seenith SIVASUNDARAM
Yüzüncüyıl University, Turkey Florida Institute of Technology, USA
Fevzi KUTAY Selçuk KUTLUAY
Gazi University, Turkey İnönü University, Turkey
Fikret ALIEV Semen KÖKSAL
Institute of Applied Mathematics, Azerbaijan Florida Institute of Technology, USA
Gani STAMOV Süleyman ÇİFTÇİ
Technical University of Sofia, Bulgaria Uludağ University, Turkey
H. Hilmi HACISALİHOĞLU Şahin EMRAH
Bilecik Şeyhedebali University, Turkey Ankara University, Turkey
Hammad KHALIL Tahir KHANIYEV
University of Malakand, Pakistan TOBB ETU, Turkey
Hanlar REŞİDOĞLU Tamaz S. Vashakmadze
Mersin University, Turkey Iv. Javakhishvili Tbilisi State University,
Georgia
Hasan BULUT Toufik MEKKAOUIL
Fırat University, Turkey Moulay Ismail University, Morocco
Hikmet KEMALOĞLU Tuncay CANDAN
Fırat University, Turkey Ömer Halisdemir University, Turkey
Hui-Sheng DING Vedat ASİL
Jiangxi Normal University, China Fırat University, Turkey
Hüseyin DEMİR Yaşar BOLAT
Ondokuz Mayıs University, Turkey Kastamonu University, Turkey
Hüseyin YILDIRIM Zakia Hammouch
Sütçü İmam University, Turkey Moulay Ismail University, Morocco,
İbrahim YALÇINKAYA Zeraoulia Elhadj
Necmettin Erbakan University, Turkey University of Tebessa, Algeria

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