International Conference On -...

International Conference on Mathematics and Mathematics Education (ICMME-2018), Ordu University, Ordu, 27-29 June 2018

i

International Conference On

Mathematics and

Mathematics Education (ICMME - 2018)

Book of Abstracts


ii

International Conference on Mathematics and Mathematics Education

(ICMME - 2018)

Ordu University, Ordu, Turkey, 27-29 June 2018

©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

Assistant Editors

Nilay AKGÖNÜLLÜ PİRİM

MATDER, Turkey


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PREFACE The International Conference on Mathematics and Mathematics Education

“Mathematics in ORDU” (ICMME-2018) will be held on June 27-29, 2018 in Ordu, Turkey.

MATDER-Association of Mathematicians is an association founded in 1995 by

mathematicians in Turkey. Up to now 14 national and 2 international mathematics symposium

were organized by MATDER.

These meetings have been one of the main national symposiums. Since the talks in the

meetings covers almost all areas of mathematics, mathematics education and engineering

mathematics, the conferences have been well attended by mathematicians from academia,

Ministry of Education and engineers as well. The last five conferences have been held in

Şanlıurfa (ICMME-2017), Elazig (ICMME-2016), Niğde (2015), Karabük (2014) and Ankara

(2013). This year ICMME-2018 has been held at Ordu University in Ordu/Turkey on 27-29

June 2018 as an international conference.

The main aim of this conference is 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. The conference will present new results and future

challenges, in series of invited and short talks, poster presentations, workshops, and

exhibitions. All presented paper’s abstracts will be published in the conference proceeding.

Moreover, selected and peer review articles will be published in the following journals:

Turkish Journal of Mathematics & Computer Science (TJMCS)

MATDER Matematik Eğitim Dergisi

This conference is organised by MATDER-Association of Mathematicians and hosted

by Ordu University.

On Behalf of The Organizing Committee

Ömer AKIN


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COMMITTIEES

HONORARY AND ADVISORY BOARD

Prof. Dr. Numan KURTULMUŞ Minister of Culture and Tourism, Turkey

Dr. İsmet YILMAZ Minister of National Education, Turkey

Seddar YAVUZ Governor of Ordu, Turkey

Prof. Dr. Tarık YARILGAÇ Rector of Ordu University, Turkey

Prof. Dr. Öznur ERGEN AKÇİN Dean of Faculty of Science of Ordu University,

Turkey

Kutlu Tekin BAŞ Director of National Education, Turkey

Servet ŞAHİN Chairman of Ordu Chamber of Commerce and

Industry, Turkey

Engin TEKİNTAŞ Mayor of Altınordu, Turkey

SYMPOSIUM PRESIDENTS

Ömer AKIN Chairman of the Board, Turkey

Süleyman ŞENYURT Department of Mathematics,Ordu University,

Turkey

ORGANIZING COMMITTEE

Mustafa ÖZKAN (President) MATDER, Turkey

Ömer ÖZEN (Vice President) MATDER, Turkey

Ali ÖZTURAN MATDER, Turkey

Fatih YILMAZ Gazi University, Turkey

İlyas HAŞİMOĞLU Karabuk University, Turkey

Maksude KELEŞ TOBB ETU, Turkey

Mehmet KUNT MATDER, Turkey

Muhlis ÇELİK MATDER, Turkey

Nilay AKGÖNÜLLÜ PİRİM MATDER, Turkey

Oğuz GÜVEN TOBB ETU, Turkey

Raziye MERT MATDER, Turkey

Selami BAYEĞ TOBB ETU, Turkey


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Tahir KHANIYEV TOBB ETU, Turkey

Tuğba TAMİRCİ MATDER, Turkey

Tuncay BAŞKAYA Atılım University, Turkey

LOCAL ORGANIZING COMMITTEE

Cemil YAPAR Ordu University, Turkey

Selahattin MADEN Ordu University, Turkey

Erhan SET Ordu University, Turkey

Cemal BELEN Ordu University, Turkey

Meral Cansız AKTAŞ Ordu University, Turkey

Mustafa BİLİCİ Ondokuz Mayıs University, Turkey

Şeyda KILIÇOĞLU Başkent University, Turkey

İmdat İŞCAN Giresun University, Turkey

Mehmet KORKMAZ Ordu University, Turkey

Erdal ÜNLÜYOL Ordu University, Turkey

Yıldıray ÇELİK Ordu University, Turkey

Hayal Yavuz MUMCU Ordu University, Turkey

Tolga AKTÜRK Ordu University, Turkey

Fatih SAY Ordu University, Turkey

Erdinç YÜCESOY Ordu University, Turkey

Canan ÇİFTÇİ Ordu University, Turkey

İrem EROĞLU Ordu University, Turkey

Davut CANLI Ordu University, Turkey

Abdussamet ÇALIŞKAN Ordu University, Turkey

Hülya ŞARDAĞ Ordu University, Turkey

Gökhan KÖSEOĞLU Ordu University, Turkey

Gülşah KAYA Ordu University, Turkey

Ayşe Kübra DEMİREL Ordu University, Turkey

Hümeyra KARBUZ Ordu University, Turkey

Seren SALAŞ Ordu University, Turkey

Elif ÖZKURT BAŞUSTAOĞLU Ordu University, Turkey


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Fatma Buğlem YALÇIN Ordu University, Turkey

Burak ÖZTÜRK Ordu University, Turkey

Sevgi DEMİR Ordu University, Turkey

Mihriban DURMUŞ Ordu University, Turkey

Güven KARA Ordu University, Turkey

Ceyda CEVAHİR Ordu University, Turkey

Barış ÇELİK Ordu University, Turkey

Hakan GEZGİN Ordu University, Turkey

SCIENFTIFIC COMMITTIES

MATHEMATICS

Abdizhahan SARSENBI South Kazakhstan State University, Kazakhstan

Abdon ATANGANA University of the Free State, South Africa

Abdullah Aziz ERGİN Akdeniz University, Turkey

Abdullah MAĞDEN Atatürk University, Turkey

Abhijit CHAMPANERKAR CUNY, USA

Ahmet BEKİR Eskişehir Osmangazi University, Turkey

Ahmet KÜÇÜK Atatürk University, Turkey

Ahmet Okay ÇELEBİ Yeditepe University, Turkey

Alaattin ESEN İnonu University, Turkey

Ali ERDOĞAN Hacettepe University, Turkey

Ali ÖZDEŞ Inonu University, Turkey

Alireza KHASTAN Institute for Advanced Studies in Basic Sciences, Iran

Alper Osman ÖĞRENMİŞ Fırat University, Turkey

Andrei VESNIN Sobolev Institute of Mathematics and Chelyabinsk

State University, Russia

Anna SANDULYAK Moscow State University of Instrument Engineering

and Computer Science (MGUPI), Russia

Araceli Queiruga DIOS Salamanca University, Spain

Atakan Tuğkan YAKUT Niğde Ömer Halisdemir University, Turkey

Aydın GEZER Atatürk University, Turkey

Ayhan ERDEN Gazi University, Turkey


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Ayhan SARIOĞLUGİL Ondokuz Mayıs University, Turkey

Ayhan ŞERBETÇİ Ankara University, Turkey

Ayhan TUTAR Ondokuz Mayıs University, Turkey

Bahaddin BÜKCÜ Gaziosmanpaşa University, Turkey

Baki KARLIĞA Gazi University, Turkey

Basri ÇELİK Uludağ University, Turkey

Bayram ŞAHİN Ege University, Turkey

Bülent KARAKAŞ Van Yüzüncü Yıl University, Turkey

Carlo CATTANI University of Tuscia - Viterbo, Italy

Cemil TUNÇ Van Yüzüncü Yıl University, Turkey

Cemil YAPAR Ordu University, Turkey

Cemil YILDIZ Gazi University, Turkey

Cengizhan MURATHAN Uludağ University, Turkey

Christos VOLOS Aristotle University of Thessaloniki, Greece

Cihan ORHAN Ankara University, Turkey

Cihan ÖZGÜR Balıkesir University, Turkey

Cüneyt ÇEVİK Gazi University, Turkey

Çiğdem BEKTAŞ Fırat University, Turkey

Devendra KUMAR Jecrc University, India

Doç.Dr. Olena Hryniv Ivan Franko National University of Lviv, Ukraine

Doğan KAYA İstanbul Ticaret University, Turkey

Dursun TAŞCI Gazi University, Turkey

El Hassan El KINANI Moulay Ismail University, Morocco

Elman HASANOĞLU Isık University, Turkey

Emin KASAP Ondokuz Mayıs University, Turkey

Emine MISIRLI Ege University, Turkey

Engin ÖZKAN Erzincan University, Turkey

Ercan ALTINIŞIK Gazi University, Turkey

Ercan ÇELİK Ataturk University, Turkey

Erhan COŞKUN Karadeniz Teknik University, Turkey

Erol KILIÇ İnönü University, Turkey


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Ersan AKYILDIZ Middle East Technical University, Turkey

Ertuğrul ÖZDAMAR Uludağ University, Turkey

Etibar PENAHLI Fırat University, Turkey

Eva KASLIK West University of Timisoara, Romania

F. Nejat EKMEKCİ Ankara University, Turkey

Fethi Bin Muhammad

BELGACEM Department of Mathematics, Faculty of Basic

Education, PAAET

Fevzi ERDOĞAN Yuzuncuyil University, Turkey

Fevzi KUTAY Gazi University, Turkey

Feza GÜVENİLİR Ankara University, Turkey

Fikret ALIEV Institute of Applied Mathematics, Azerbaijan

Fikri AKDENİZ Çağ University, Turkey

Gani STAMOV Technical University of Sofia, Bulgaria

Gerardo Rodriguez SANCHEZ Salamanca University, Spain

H. Hilmi HACISALİHOĞLU President of TWMS

Halim ÖZDEMİR Sakarya University, Turkey

Halis AYGÜN Kocaeli University, Turkey

Halit GÜNDOĞAN Kırıkkale University, Turkey

Hammad KHALIL University of Malakand, Pakistan

Handan ÖZTEKİN Fırat University, Turkey

Hanlar REŞİDOĞLU Mersin University, Turkey

Hasan BULUT Fırat University, Turkey

Hatice Gül İLARSLAN Gazi University, Turkey

Hikmet KEMALOĞLU Fırat University, Turkey

Hui-Sheng DING Jiangxi Normal University, China

Hurşit ÖNSİPER Middle East Technical University, Turkey

Hüseyin DEMİR Ondokuz Mayıs University, Turkey

Hüseyin YILDIRIM Sutci Imam University, Turkey

Ivan Dyyak Ivan Franko National University of Lviv, Ukraine

İ. Naci CANGÜL Uludağ University, Turkey

İbrahim YALÇINKAYA Necmettin Erbakan University, Turkey


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İdris DAĞ Eskişehir Osmangazi University, Turkey

İlhan ÖZTÜRK Erciyes University, Turkey

İnci GÜLTEKİN Atatürk University, Turkey

İsmail AYDEMİR Ondokuz Mayıs University, Turkey

İsmail EKİNCİOĞLU Dumlupınar University, Turkey

İsmail KOMBE İstanbul Ticaret University, Turkey

İsmet ALTINTAŞ Sakarya University, Turkey

İsmet KARACA Ege University, Turkey

Jehad ALZABUT Prince Sultan University, Riyadh, Saudi Arabia

Kadri ARSLAN Uludağ University, Turkey

Kazım İLARSLAN Kırıkkale University, Turkey

Kemal AYDIN Selcuk University, Turkey

Kerim KOCA Kırıkkale University, Turkey

Keziban ORBAY Amasya University, Turkey

Levent KULA Ahi Evran University, Turkey

Li KUN National University of Singapore, Singapore

Luca Grilli Foggia University, Italy

Luca GUERRINI Università Politecnica delle Marche, Italy

Marie DEMLOVA Czech Technical University, Czech Republic

M. Necdet ÇATALBAŞ Fırat University, Turkey

M. Zeki SARIKAYA Düzce University, Turkey

Mahir KADAKAL Giresun University, Turkey

Mahmut ERGÜT Namık Kemal University, Turkey

Makoto SAKUMA Hiroshima University, Japan

Martin BOHNER Missouri University of Science and Technology, USA

Mehmet AKBAŞ Karadeniz Teknik University, Turkey

Mehmet Ali GÜNGÖR Sakarya University, Turkey

Mehmet ATÇEKEN Gaziosmanpaşa University, Turkey

Mehmet BEKTAŞ Fırat University, Turkey

Mehmet MERDAN Gumuşhane University, turkey

Mehmet YILDIRIM Kırıkkale University, Turkey


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Mihriban KÜLAHCI Fırat University, Turkey

Mikail ET Firat University, Turkey

Moha HAJAR Moulay Ismail University, Morocco

Mohammad RASHIDI Tongji University, China

Murat ALP Niğde Ömer Halisdemir University, Turkey

Murat TOSUN Sakarya University, Turkey

Mustafa ÇALIŞKAN Gazi University, Turkey

Mustafa DÜLDÜL Yıldız Teknik University, Turkey

Mustafa İNÇ Firat University, Turkey

Mustafa KANDEMİR Amasya University, Turkey

Mustafa KORKMAZ Middle East Technical University, Turkey

Mustafa ÖZDEMİR Akdeniz University, Turkey

Mykola Prytula Ivan Franko National University of Lviv / Ukraine

Naim TUĞLU Gazi University, Turkey

Necdet BİLDİK Celal Bayar University, Turkey

Nesip AKTAN Necmettin Erbakan University, Turkey

Nihal Yılmaz ÖZGÜR Balıkesir University, Turkey

Nihat AYYILDIZ Süleyman Demirel University, Turkey

Nur ALAM Pabna University of Science & Technology,

Bangladesh

Nuri KURUOĞLU İstanbul Gelişim University, Turkey

Nurlan IMANBAEV International Kazakh-Turkish University, Kazakstan

Oktay MUHTAROV Gaziosmanpasa University, Turkey

Olena Hryniv Ivan Franko National University of Lviv, Ukraine

Osman KEÇİLİOĞLU Kırıkkale University, Turkey

Ömer PEKŞEN Karadeniz Teknik University, Turkey

Ömer TARAKÇI Atatürk University, Turkey

Pınar DÜNDAR Ege University, Turkey

Rathinavel SILAMBARASAN VIT University, Vellore, Tamilnadu, India

Rıfat GÜNEŞ İnönü University, Turkey

Rifat ÇOLAK Firat University, Turkey

Robert TCHITNGA Université de Dschang, Cameroon


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Roman CHAPKO Ivan Franko National University of Lviv, Ukraine

Rovshan BANDALIYEV Institute of Mathematics and Mechanics of National

Academy of Sciences, Azerbaijan

Sadık KELEŞ Inonu University, Turkey

Salim YÜCE Yıldız Teknik University, Turkey

Samed ALIYEV Baku State University, Azerbaijan

Seenith SIVASUNDARAM Florida Institute of Technology, USA

Selçuk KUTLUAY Inonu University, Turkey

Semen KÖKSAL Florida Institute of Technology, USA

Snezhana GOCHEVA-ILIEVA University of Plovdiv Paisii Hilendarski, Bulgaria

Sultan YAMAK Karadeniz Teknik University, Turkey

Süleyman ÇİFTÇİ Uludag University, Turkey

Şahin EMRAH Ankara University, Turkey

Şenol EREN Ondokuz Mayıs University, Turkey

Tamaz S. VASHAKMADZE Iv. Javakhishvili Tbilisi State University, Georgia

Taras BANAKH Ivan Franko National University of Lviv, Ukraine

Toufik MEKKAOUIL Moulay Ismail University, Morocco

Tuncay CANDAN Niğde Ömer Halisdemir University, Turkey

Vedat ASİL Firat University, Turkey

Yarema SAVULA Ivan Franko National University of Lviv, Ukraine

Yaşar BOLAT Kastamonu University, Turkey

Yusuf YAYLI Ankara University, Turkey

Zakia HAMMOUCH Moulay Ismail University, Morocco,

Zeraoulia ELHADJ University of Tebessa, Algeria

Zeynep FİDAN KOÇAK Mugla University, Turkey

Zhang ZAIUYNG Hunan Institute of Science and Technology, China

Ziyatxan ALIYEV Baku State University, Azerbaijan

MATHEMATICS EDUCATION

Abdulkadir TUNA Kastamonu University, Turkey

Abdullah KAPLAN Atatürk University, Turkey

Adnan BAKİ Karadeniz Teknik University, Turkey


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Ahmet ÖZDEMİR Marmara University, Turkey

Ahmet KAÇAR Kastamonu University, Turkey

Ahmet YILDIZ İnönü Üniversitesi, Turkey

Ali Delice Marmara University, Turkey

Ali ERASLAN Samsun Ondokuz Mayis University, Turkey

Alper Cihan KONYALIOĞLU Ataturk University, Turkey

Asuman DUATEPE PAKSU Pamukkale University, Turkey

Aysun UMAY Hacettepe University (Retired)

Ayşegül GÖKHAN Fırat University, Turkey

Beste GÜÇLER University of Massachusetts-Dartmouth, USA

Cemil İNAN Dicle UniveRSİTY, Turkey

Emin AYDIN Marmara University, Turkey

Endalcachew BAYEH Ambo University, Ethiopia

Enver TATAR Atatürk University, Turkey

Esen ERSOY Ondokuz Mayıs University, Turkey

Esra BUKOVA GÜZEL Dokuz Eylül University, Turkey

Francisco CORDERO Avenida Institute Politecnico Nacional, Mexico

H. Hüseyin UĞURLU Gazi University, Turkey

Hasan ÜNAL Yildiz Teknik University, Turkey

Hatice AKKOÇ Marmara University, Turkey

Hulya GÜR Balikesir University, Turkey

İbrahim YALÇINKAYA Necmettin Erbakan University, Turkey

İlyas YAVUZ Marmara University, Turkey

Jeremy KILPATRICK University of Georgia, USA

John MONAGHAN University of leeds, U.K.

Keziban ORBAY Amasya University, Turkey

Kursat YENİLMEZ Osmangazi University, Turkey

Kursat ERBAŞ Middle East Technical University, Turkey

M. Emin ÖZDEMİR Ataturk University, Turkey

Mehmet UREYEN Anadolu University, Turkey

Melek MASAL Sakarya University, Turkey


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Mine AKTAS Gazi University, Turkey

Mine IŞIKSAL Middle East Technical University, Turkey

Murat ALTUN Uludag University, Turkey

Murat PEKER Afyon Kocatepe University, Turkey

Mustafa KANDEMİR Amasya University, Turkey

Nesrin ÖZSOY Adnan Menderes University, Turkey

Nevin MAHİR Anadolu University, Turkey

Nevin ORHUN Anadolu University, Turkey

Osman GÜRSOY Maltepe University, Turkey

Özge YİĞİTCAN NAYİR Başkent University, Turkey

Patricia Moyer-PACKENHAM Utah State University, USA

Peter WWONG Rmit University, Australia

Ricardo CANTORAL Matematica Educativa, Mexico

S. Ozgun KOCA Wayne State University, USA

Safure BULUT Middle East Technical University, Turkey

Sare ŞENGÜL Marmara University, Turkey

Selahattin ARSLAN Karadeniz Teknik University, Turkey

Senol DOST Hacettepe University, Turkey

Şeref MİRASYEDİOĞLU Başkent University, Turkey

Sibel YEŞİLDERE İMRE Dokuz Eylul University, Turkey

Sinem SEZER Akdeniz University, Turkey

Süha YILMAZ Dokuz Eylül Üniversitesi, Turkey

Tunay BİLGİN Yüzüncü Yıl University, Turkey

Vilma MESA University of Michigan, USA

Yeşim FAZLIOĞLU Tekirdag University, Turkey


xiv

CONTENTS INVITED SPEAKERS .................................................................................................... 1

On the Stability, Asymptotically Stability, Integrability, Uniformly Stability and Boundedness of Solutions for a Class of Non-Linear Volterra Integro - Differential Equations .................................................................................................................... 2

On The Tangent Bundle of A Weyl Manifold ............................................................... 5

Coupled Finite and Boundary Element Adaptive Approximations for the Problems of Elasticity ..................................................................................................................... 6

A Dynamic Private Property Resource Game with Asymmetric Firms ........................ 8

A Model Suggestion in Order to Write Real Life Mathematics Questions in The PISA and TIMMS Character .............................................................................................. 10

On The Education and Teaching of Mathematics and Misconceptions .................... 14

A Comparative Analysis of Clustering Algorithms ..................................................... 15

Abstracts of oral presentations .................................................................. 16

Algebra and Number Theory ............................................................................ 17

m -Adic Residue Codes Over [ ] / ( )sqF v v v ............................................................. 18

2-Crossed Modules from Crossed Squares of Lie Algebras ..................................... 20

A Generalization Of The Class Of Weakly Normal Rings ......................................... 22

A Note On Convolved Fibonacci and Lucas Polynomials ......................................... 23

A Note On Nullnorms On The Unit Interval ............................................................... 25

About Ordering Based On Nullnorms On Bounded Lattices ..................................... 27

An Application of Constacyclic Codes to Entanglement Assisted Quantum Codes .. 29

An Application of Interval-valued Neutrosophic Soft Graphs in a Decision Making Problem .................................................................................................................... 31

An Approach to Semicommutativity of Rings via Idempotents .................................. 33

An Investigation Of Soft Cryptosystem ..................................................................... 35

An Overview Of Methods Generalizing Uninorms .................................................... 37


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Binomial Transforms and Its Applications ................................................................. 39

Change Base For Reduced Quadratic Lie Algebras ................................................. 41

Characterization of L-Fuzzy Soft Modules ................................................................ 43

Classification of Optimal Additive Toeplitz Codes Over GF(4) .................................. 45

Cofinitely -Supplemented Lattices ......................................................................... 47

Cofinitely ss-Supplemented Modules ....................................................................... 49

Construction of The Binary Simplex Codes and The First Order Reed-Muller Codes ................................................................................................................................. 51

Domination Number of Some Trees ......................................................................... 53

Encryption Of Letters Onto Each Other .................................................................... 55

E-Radical Supplemented Modules ........................................................................... 57

Extension Of Gamma And Beta Functions For Conformable

Integrals .................................................................................................................... 59

Finding Characteristic Roots of Matrices of Even Lucas and Fibonacci Numbers .... 62

Fuzzy Roughness in LA- -Semigroups ................................................................... 64

Generalized Fuzzy Soft Groups ................................................................................ 66

G-Supplemented Lattices ......................................................................................... 68

Interval-valued Neutrosophic Soft Graphs ................................................................ 70

Locally Nilpotent p-Groups Whose Proper Subgroups Are ....................................... 72

Mathematic Teaching With Short Film: First Order Equation With One Unknown .... 74

Modules with ss-supplements over Commutative Domains ...................................... 76

Modules With the Properties (δ-E*) and (δ-EE*) ....................................................... 78

On A Weighted Class Of Caputo Fractional Derivatives, Their Representations

And Properties .......................................................................................................... 80

On Fuzzy Retract of a Fuzzy Loop Space ................................................................ 82

On Graph Polynomials Of Some Trees ................................................................... 84

On Injective Modules ................................................................................................ 85


xvi

On Left (σ,τ)-Jordan Ideals And Generalized Derivations ......................................... 87

On Low Dimensional Leibniz Algebras ..................................................................... 89

On Multiplicative Generalized Semiderivation in Semiprime Rings .......................... 90

On Skew-Centrosymmetric Matrices ........................................................................ 92

On Some Relations Between Continued Fractions and Fibonacci Numbers ............ 94

On Some Special Classes Of Nullnorms On Bounded Lattices ................................ 96

On Sophie Germain Primes ...................................................................................... 98

On The Distance-Sum-Connectivity Matrix ............................................................. 100

On The Dodgson Condensation Method ................................................................ 102

On the LOG and EXP Operators on Isoboric Polynomials...................................... 103

On The Properties Of Hyperbolic Trigonometric Operators .................................... 105

On the The Maximum Determinant of Lower Hessenberg (0,1) Matrix .................. 107

Parametric Soft Semigroups ................................................................................... 108

Soft Lattice Structures and Their Properties ........................................................... 110

Soft Linear Transformations between Vector Spaces ............................................. 112

Solution of Nonlinear Fredholm Integral Equation ................................................. 114

Some Binomial Double Sums ................................................................................. 116

Some Equations in Semiprime Rings With Multiplicative Generalized Semiderivation ............................................................................................................................... 118

SP-Fuzzy Soft Ideals in Semigroups ...................................................................... 120

ss-Radical And Strongly ss-Radical Supplemented Modules ................................. 122

Strongly Local Modules and Rings ......................................................................... 124

Structure of Cyclic Codes over s sp pu and Some Special Family of Them ...... 126

Two New Classes of EAQMDS Codes From Constacyclic Codes ......................... 128

ANALYSIS ............................................................................................................... 130

A New Semi-Normed Sequence Space Of Non-Absolute Type ............................. 131


xvii

A Note on Superposition Operators on Linear n-Normed Spaces .......................... 133

Accretive Canonical Type Quasi-Differential Operators for First Order .................. 135

Canonical Type First Order Boundedly Solvable Differential Operators ................. 137

Compactness of Upper Triangular One-Band Block Operator Matrices ................. 139

Discreteness of Spectrum of Normal Differential Operators for First Order ............ 141

Explicit Upper Bounds For The Spectral Distance Of Two Trace Class Operators 143

Generalized Cesaro Summability of Order β .......................................................... 145

Hermite-Hadamard Inequality for Strongly GA-Convex Functions .......................... 147

Hermite-Hadamard Inequality for Strongly p-Convex Functions ............................. 149

Hermite-Hadamard Type Inequalities For Quasi-Convex Functions Via Fractional Integrals .................................................................................................................. 151

Improvement of Hermite-Hadamard Type and Midpoint Type Inequalities for Convex Functions via Conformable Fractional Integral ....................................................... 153

Lacunary Statistical Convergence for Sequences of Dual Numbers ...................... 155

Lucas Difference Sequence Spaces and ................................... 157

Midpoint Type Inequalities for the Multiplicatively P-Functions ............................... 159

Modelling of Turkey Health Survey Data with Artificial Neural Networks ................ 161

Multiplicatively P-functions ...................................................................................... 163

Multiplication Operators On Grand Lorentz Spaces ............................................... 165

New Inequalities for Operator (alpha,m)-preinvex Functions in Hilbert Spaces ...... 167

New Inequalities on Lipschitz Functions ................................................................. 169

New Integral Inequalities for Operator h-preinvex Functions in Hilbert Spaces ...... 171

New Type Integral Inequalities for n-Times Differentiable Prequasiinvex Functions173

Non-Newtonian Superposition Operators on ( )p N , 0 ( )c N and ( )c N into 1( )N .. 175

On -Convergence Of Folner Sequences On Amenable Semigroups .................. 177

On (∆m,f)-Statistical Convergence Of Order β......................................................... 179


xviii

On I-Asymptotically Lacunary Statistical Equivalence of Functions on Amenable Semigroups ............................................................................................................ 181

On Non-Newtonian Measure For Closed Sets ........................................................ 183

On Qi Type Integral Inequalities and Their Applications ......................................... 185

On The Fine Spectra Of The Jacobi Matrix Over Certain Sequence Spaces ......... 187

On the Hermite-Hadamard Type Inequalities for Strongly Convex Functions via Katugampola fractional integrals ............................................................................ 189

On the Variable Exponent Spaces and Maximal Operators ............................. 191

On the Variable Exponent Spaces and Riesz Transforms ............................... 193

Quantitative Perturbation Theory For Operators Belonging To Compactness Classes ............................................................................................................................... 195

Some Algebraic and Topological Properties of New Lucas Difference Sequence Spaces.................................................................................................................... 197

Some Convergence Theorems for Multipliers ......................................................... 199

Some General Integral Inequalities for Lipschitzian Functions via Conformable Fractional Integral ................................................................................................... 201

Some Inequalities Related to -Strongly Convex Functions .................................. 203

Some New Inequalities for Lipschitz Functions via a Functional ............................ 205

Some New Inequalities for Operator m-preinvex Functions in Hilbert Spaces ........ 207

Some New Integral Inequalities for Multiplicatively Geometrically P-Functions ...... 209

Some Properties Of Convex Functions Via Non-Newtoian Calculus ...................... 211

Strongly (∆,f)-Cesaro Summability of Order β ........................................................ 213

Subdivision Of The Spectra Of The Generalized Difference Operator ( , )B r s on The

Sequence Space cs ................................................................................................ 215

The Discreteness Of The Spectrum Of The Operator Schrödinger Equation And Some Properties Of The S-Numbers Of The Inverse Schrödinger Operator .......... 217

The Disjoint Spectrum of the Weighted Mean, Cesaro and Rhaly Operators Various Sequence Spaces. ................................................................................................. 219


xix

The Lower And Upper Bounds Of Discrete Generalized Cesaro Operators And Its

Fine Spectrum On pl (1 )p .......................................................................... 222

Trapozoidal Type Inequalities Related To Geometrically Aritmetic Convex Functions With Application ...................................................................................................... 224

Trapozoidal Type Inequalities Related To Ha Convex Functions With Application . 226

Two-Weighted Inequalities for High Order Riesz-Bessel Transforms in Weighted Lebesgue Spaces ................................................................................................... 228

Applied Mathematics ........................................................................................ 230

A Hermite Collocation Method For The Approximate Solutions Of High-Order Linear Volterra Integro-Differential Equations .................................................................... 231

A New Decision Making Model Based on Soft Set Theory ..................................... 233

A Novel Hybrid Method for Singularly Perturbed Delay Differential Equations ....... 235

A Numerical Method for Singularly Perturbed Nonlocal Boundary Value Problem on Bakhvalov Mesh ..................................................................................................... 237

A Study on Hermite-Hadamard Type Inequalities via New Fractional Conformable Integrals .................................................................................................................. 239

A Study On Reliability Bounds ................................................................................ 241

A View on Intuitionistic Fuzzy Soft Near Rings ....................................................... 243

An Application of Fuzzy Differential Equations in Economics ................................. 245

An Application of the Modified Expansion Method to Nonlinear Partial Differential Equation ................................................................................................................. 247

An Investigation on Linear Differential Equations with Fuzzy Coefficients .............. 249

Analysis of Surface Wave on a Coated Half-Space Caused by In-Plane Surface Loading ................................................................................................................... 251

Applications of Differential Transform Method to Some Random Component Time-Fractional Partial Differential Equations .................................................................. 253

Approximation Properties of Mittag-Leffler Operators via GBS Operators .............. 255

Asymptotic Investigation of The Singular Differential Equations and Error Analysis 257

Behaivours of Random Effected Volterra and Fredholm Integral Equation ........... 259


xx

Boundedness And Convergence Properties For A Class Of Kantorovich-Type Operators In Variable Exponent Lebesgue Spaces ................................................ 261

Comparison Theorems For One Sturm-Liouville Problem With Nonlocal Boundary Conditions ............................................................................................................... 263

Computational Method for a Singularly Perturbed Mixed Type Delay Differential Problem .................................................................................................................. 265

Determination of The Relationship Between Students' Official Test and Pilot Test In The Transition To High School Using The Intuitionistic Fuzzy Logic ...................... 267

Dirac System for Hahn Difference Operator ........................................................... 269

Discrete Fractional Solution of a Nonhomogeneous Non-Fuchsian Linear Differential Equations ................................................................................................................ 271

Explicit Solutions of the Homogeneous Second Order Differential Equation by means of Fractional Calculus ............................................................................................. 273

Finding single-wave solutions using polynomial methods for analogs of the nonlinear Boussinesq equation .............................................................................................. 275

Finite difference method for delay pseudo-parabolic equations .............................. 277

Fractional Variational Iteration Method for the Random Component Time-Fractional Fornberg-Whitham Equation ................................................................................... 279

Fuzzy Eigenvalue Problem with Eigenvalue Parameter Contained in the Boundary Condition ................................................................................................................ 281

Fuzzy Eigenvalue Problem with Fuzzy Coefficients of Boundary Conditions ......... 283

Fuzzy Revenue for Linear and Quadratic Demand Functions Using Polygonal Fuzzy Number ................................................................................................................... 285

Generalized Fractional-Order Mathematical Model for Bacterial Infectious ............ 287

Green’s Functions For Two-Interval Sturm-Liouville Problems In Direct Sum Space ............................................................................................................................... 290

Hyers-Ulam stability for Caputo-Fabrizio type fractional differential equations ....... 292

Importance of Stokes rays of the singular differential equations ............................. 295

Inverse Nodal Problems For Dirac Differential Operators With Discontinuity Conditions Inside The Interval ................................................................................ 297

Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter ............................ 300


xxi

Investigation of solutions of the Pade-II equation by MEFM ................................... 303

Investigation of the Sturm-Liouville Problem with Eigenvalue Parameter in the Boundary Condition ................................................................................................ 305

Korovkin type approximation via statistical equal convergence of the deferred Nörlund summability ............................................................................................... 307

Korovkin type theorem for double sequences via power series method in weighted spaces .................................................................................................................... 309

Laguerre Collocation Method for Solutions of Systems of Linear Differential equations ............................................................................................................................... 311

Lazhar Type Inequalities For p-Convex Functions ................................................. 313

Lyapunov Matrix Equations Solution with Iterative Decreasing Dimension Method 315

Mathematical theory of entangled states of spontaneous parametric down conversion (SPDC) ................................................................................................................... 317

Measures Of Some Systems Using System Signature ........................................... 319

Multiple Small Solutions For -Schrödinger- Kirchhoff Equations Via Genus Theory

............................................................................................................................... 321

Numerical Analysis of Backward-Euler Method for Simplified MagnetoHydroDynamics with Linear Time Relaxation ........................................... 323

Numerical Solution of Volterra and Fredholm İntegral Equations by Homotopy Perturbation Method ............................................................................................... 325

Numerical Solutions Of Nonlinear Pantograph Type Delay Differential Equations . 327

On Fuzzy Contractibility .......................................................................................... 329

On Fuzzy Sub-H-Groups ........................................................................................ 331

On Hyers-Ulam-Rassias Stability For First-Order Linear Differential Equations And Bernoulli Differential Equations ............................................................................... 333

On Linear Combination of a Quadratic or a Cubic Matrix and an Arbitrary Matrix .. 335

On Minkowski And Inverse Minkowski Inequalities Via Generalized Fractional Integrals .................................................................................................................. 337

On Stability and Bifurcation Analysis in a Discrete Time Predator-Prey System .... 340

On Surrogate Dual Search Method for Minimum-Cost Flow Problems ................... 342


xxii

On The K_A-Continuity of Real Functions .............................................................. 344

On The Solutions Of The Singular Differential Equations ....................................... 346

On The Stability of ( ) ( , ( ))y x f x y x in The Sense of Ulam ............................... 348

Ostrowski Type Inequalities via New Fractional Conformable Integrals ................. 351

Parameter-Dependent Sturm-Liouville Problems on Time Scales .......................... 353

Persistence and Stability of Synchronization in a System with a Diffusive-Time-Lag Coupling ................................................................................................................. 355

Picone Identity and Some Applications .................................................................. 357

School Success Ranking in Multi Criteria Decision Making with Intuitionistic Fuzzy Logic ....................................................................................................................... 359

Soft Encryption And Aes ........................................................................................ 361

Solutıons Of Lınear Parabolıc Type Equatıons Wıth Homotopy Perturbatıon Method ............................................................................................................................... 363

Solvability And Coerciveness of A Sturm-Liouville Problem With Multipoint-Transmission Conditions ........................................................................................ 365

Some Bounds On The Topological Matrix and The Topological Indices ................ 367

Some Results On Hausdorff Metric For Intuitionistic Fuzzy Sets ............................ 369

Stability Criterion For Fractional Difference Equations with Delay Term ................ 371

Stability of Nonlinear Time Relaxation Model for Simplified MagnetoHydroDynamics and Comparison of Solutions .................................................................................. 374

Statistical Equal Convergence Of Bögel Type Continuous Functions .................... 376

Structural Stability For The Benard Problem With Voight Regularization ............... 378

Symmetric Difference Operation in Soft Matrix Theory ........................................... 380

Tauberian Theorems For Statistical Convergence And Statistical Summability Of Fuzzy Number Valued Functions ............................................................................ 382

The Generalized Hermite-Hadamard type inequalities for Caputo k-fractional Derivatives .............................................................................................................. 384

The Left (Right) Rough Approximations In A Group ............................................... 387


xxiii

To The Application Gauss-Hermite Approximate Method For Initial-Boundary Value Problems ................................................................................................................ 389

Computer .............................................................................................................. 391

A Survey On Dynamical Behaviors Of Systems Of Nonlinear Difference Equations ............................................................................................................................... 392

Central Measurement of the Value of a Vertex in Graphs ...................................... 394

Disjunctive Total Domination of Corona Graphs ..................................................... 396

Fuchsian Groups and Continued Fractions ............................................................ 398

Generalized Farey Squences ................................................................................. 400

Global Attractivity of Some Rational Difference Equations ..................................... 402

Group Action and Orbits for Modular group ............................................................ 404

Hierarchical Bucket Queue System for Priority Programming in GPU’s development ............................................................................................................................... 406

Nonoscillation And Oscillation Criteria For A Class Of Higher - Order Difference Equations Involving Generalized Difference Operator ............................................ 408

On Boundedness Of Solutions Of The Rational Difference Equations ................... 410

On Stability Of A Class Of The Nonlinear Difference Equation Systems With Variable Delayed .................................................................................................................. 412

Solving Cross-Matching Puzzle Using Heuristic Approximation with Probabilities . 414

The Normalizer of Modular Group in Picard Group ................................................ 415

Geometry ............................................................................................................. 417

A Note On A Paraholomorphic Riemannian Extension .......................................... 418

A Note on the Generalized Myers Theorem for Riemannian Manifolds .................. 420

Ambrose Type Results for Weighted Ricci Curvature in Finsler Manifolds ............. 422

AW(k)-type Salkowski Curves in Euclidean 3-space IE^3 ...................................... 424

Characteristic Directions of Closed Planar Homothetic Motions ............................. 426

Darboux Vector and Stress Analysis of Centro-Affine Frame ................................. 428

Darboux Vector and Stress Analysis of Equi-Affine Frame..................................... 430


xxiv

D-Conformal Curvature Tensor on ( )nLCS Manifolds ........................................... 432

Holditch Type Theorem for Kinetic Energy of Projective Curve under the 1-Parameter Spatial Inverse Motion ............................................................................................ 434

Lifts of Complex Metallic Structure to the Cotangent Bundle .................................. 436

New Examples of Timelike Minimal Surfaces in Lorentz-Minkowski Space ............ 438

On Contact CR-Submanifolds of a Kenmotsu Manifold .......................................... 439

On Rectifying Curves in Dual Space D³ .................................................................. 441

On Sasakian Manifolds Admitting Concurrent Vector Fields .................................. 443

On The Control Invariants of Planar Bezier Curves For Groups (2)M and (2)SM

............................................................................................................................... 445

On The Riemannian Metrics Of The Form J S HfG g g On The Tangent Bundle 447

On Vectorial Moment of the Darboux Vector .......................................................... 449

Position Vectors of Special Smarandache Curves in Galilean 3-Space ................. 451

Recognition Of Plane Paths Under Linear Similarity Transformations .................... 453

Rectifying, Normal and Osculating Curves in Minkowski 3-Space .......................... 455

Ricci Solitons on Ricci Pseudosymetric a Normal Paracontact Metric Manifold .... 457

Smarandache Curves Obtained from Salkowski Curve .......................................... 459

Smarandache Curves of Alternative Frame ............................................................ 461

Some Inequalities For Ricci Solitons ...................................................................... 463

Some Notes On The Diagonal Lifts Of Affinor Fields Along A Cross-Section On

( )pqT M .................................................................................................................... 465

Some Properties of 2x2 Complex Semi Quaternion Matrices ................................. 467

Surface Family With A Common Mannheim B-Asymptotic Curves ......................... 469

Surface Family With A Common Mannheim B-Geodesic Curves ........................... 471

Surface Family With A Common Natural Asymptotic Lift Of A Spacelike Curve With Spacelike Binormal In Minkowski 3-Space ............................................................. 473


xxv

Surface Family with a Common Natural Geodesic Lift of a Spacelike Curve with Spacelike Binormal in Minkowski 3-space .............................................................. 474

The Characteristic Point of Double Hinge Movement under Homothetic Inverse Motion ..................................................................................................................... 476

The Dual Spatial Quaternionic Expression of Ruled Surfaces ................................ 478

The Integral Invariants and The Gauss Curvatures of Ruled Surfaces Which are Generated by Instantaneous Pfaff Vectors of The Dual Parallel Equidistant Ruled Surfaces ................................................................................................................. 480

The Ricci Solitons with Concurrent Vector Fields ................................................... 482

Two Special Linear Connections on a Differentiable Manifold Admitting an Almost Product Structure .................................................................................................... 484

Ulisse Dini-type Helicoidal Hypersurface 4-Space .................................................. 486

Ulisse Dini-type Helicoidal Surface in 3-Space ....................................................... 488

Logics .................................................................................................................... 490

A Note On New Ring Structure ............................................................................... 491

A Research On Symbolic Logic In Last Term Of The Ottoman .............................. 493

Correspondence in the First and Second Order Semantics for Modal Logic .......... 495

The Historical Course Of Symbolic Logic ............................................................... 497

Mathematics Education ................................................................................... 499

5E Learning Model In Mathematics Teaching: A Sample Lesson Plan .................. 500

6th Grade Students’ Construction Processes of Common Multiple Concept .......... 502

A Recognition Algorithm of Some Harmonic Chart Patterns in R:Trading Strategies on Financial Markets .............................................................................................. 504

A Structural Equation Model for the Beliefs of Mathematical Connection and Problem Solving of High School Students ............................................................................ 505

A Study on Developing a Scale on Attitude Towards Using Mathematics .............. 507

Academic Participation View Through Mathematical Literacy Problems ................ 509

An Analysis of Studies Investigating Mathematical Thinking and Its Stages .......... 511


xxvi

An Analysis of the Effect of Critical Thinking Based Applications on Students' Mathematical Achievement and Attitudes ............................................................... 513

An Analysis of the Ratio and Proportion Problems in Middle School Textbooks in the Context of Conceptual and Procedural Knowledge ................................................ 515

An Assessment Of Pre-Service Mathematics Teachers’ Knowledge And Opinions About Misconceptions ............................................................................................ 518

An Evaluation Of 7th Grade Mathematics Textbook’s Data Handling Learning Domain: A Document Analysis ............................................................................... 520

An Investigation Of Mathematics Contents Of Children Periodicals In Terms Of Problem Specifications ........................................................................................... 522

An Investigation Of Middle School Mathematic Preservice Teachers’ Lesson Plans In Terms Of Mathematical Process Skills In Teaching Practice .................................. 524

An Investigation Of The Process That 6th Grade Middle-School Students Construct Knowledge Of Direct Proportion And Inverse Proportion According To Rbc+C Model: A Teaching Experiment .......................................................................................... 526

An Investigation of Middle School Preservice Mathematics Teachers’ Statistical Content Knowledge ................................................................................................ 529

An Investigation of the Mathematical Properties of Spirograph Models with GeoGebra ............................................................................................................................... 531

An Iplementation of STEM Education in the Context Of Astronomy: Reflections from a Project On Modelling With Robots ....................................................................... 532

Analysis Of Middle School Mathematics Teaching Programs Implemented Between 1998-2013 .............................................................................................................. 534

Analysis Of Define- And Drawing-Skills Of Secondary School Students: Parallelogram Example........................................................................................... 536

Analyze of Middle Grade Students’ Number Sense ................................................ 538

Analysing Mathematical Tasks In Lesson Plans Done By Prospective Mathematics Teachers ................................................................................................................. 540

Assessment of mathematical storytelling activities in the context of 7th grade students’ abilities to drawing graphs ...................................................................................... 542

Assessment Of Preservice Mathematics Teachers’ Opinions On Teaching Practice Within The Scope Of Teaching Practices Expressions ........................................... 544

Cognitive and Contextual Structure of Prospective Teachers’ Mathematical Problems in the Context of Problem Posing ........................................................................... 546


xxvii

Determination of Mathematical Competences on Realistic Mathematics Problems 549

Determination of Secondary School Students' Attitudes Towards Mathematics and Their Mathematical Achievements .......................................................................... 551

Developing a Checklist in Question Design for Mathematical Literacy and an Application .............................................................................................................. 553

Developing Achievement Test to Evaluate the Success of 7th Grade Students at Secondary School for the Topic of ‘Rational Numbers’ .......................................... 555

Development of the STEM Viewpoint Scale: Validity and Reliability Study ............ 557

Effect Of Teaching Creative Drama On Teaching Geometry .................................. 559

Effect On The Students' Spatial Thinking Of Vocational Areas .............................. 561

Examining The Views Of Class Teachers On Mathematics Teaching: A Phenomenological Study ........................................................................................ 563

Examination of 8-Grade Students About Their Performance of Problem Posing: Data Processing Example ............................................................................................... 565

Examining Mathematics Teacher’s Expectations Regarding to Basic Mathematical Qualifications from Students Who Have Started the Secondary School ................. 567

Fourier Method for Inverse Coefficient Euler-Bernoulli Beam Equation .................. 569

How Does Pre-service Primary Teachers Explain Area?........................................ 571

Identifying The Spatial Strategies Of Pre-Service Middle School Mathematics Teachers ................................................................................................................. 573

Instructional Design To Enhance Students’ Learning Of Mathematics ................... 576

Investigation The Possible Causes And The Prevention Suggestions Of Misconception In The Exponential Expressions Based On The Views Of The Teacher Candidates ............................................................................................................. 578

Investigate the Development of Preservice Teachers’ Knowledge of Teaching Strategies by the Lesson Study Method ................................................................. 580

Investigate the Levels of Meaningfully Remembering Geometric Formulae of Preservice Mathematics Teachers’ ......................................................................... 582

Investigating Preservice Mathematics Teachers’ Proving Skills ............................. 584

Investigation of Middle School Mathematics Teachers’ Skills of Using Mathematical Language in Problem Posing Process .................................................................... 587


xxviii

Investigation of PISA Problem Posing Skills of Mathematics Teacher Candidates 589

Investigation of Pre-service Elementary Mathematics Teachers’ Beliefs about Mathematics Teaching Self-Efficacy and Mathematics, Teaching and Learning .... 591

Investigation of Pre-service Elementary Mathematics Teachers’ Knowledge of Interpreting Line Graph ........................................................................................... 593

Investigation of Secondary Pre-service Mathematics Teachers’ Pedagogical Content Knowledge of Proof ................................................................................................ 595

Investigation of Secondary Pre-service Mathematics Teachers’ Difficulties with Proving ................................................................................................................... 598

Investigation of Teachers' Awareness of Interdisciplinary Mathematical Modeling Problem .................................................................................................................. 600

Investigation of the Opinions of Students Studying in the Rural Area on the Use of Mathematics in Agriculture ..................................................................................... 602

Investigation of the problem solving processes of "definite integral" of science student teachers .................................................................................................................. 604

Investigation of Written Arguments of Pre-service Teachers about Fractions ........ 606

Investigation of Concept Images of Elementary Preservice Mathematics Teachers in The Context of "Convergence of A Sequence. ....................................................... 608

Mathematics Teachers' Views On The Web Site 'Education Information Network' Known As ‘Eba’ In Turkey ....................................................................................... 610

Mathematical Literacy Levels of 11 Years Old Students ........................................ 612

Mathematical Modeling of Ablation of Carbon Fiber Reinforced Plastics by Laser . 614

Mathematics Through Faculty Of Education Students' Eyes .................................. 616

Middle School Students’ Transition from Arithmetic to Algebra in The Context of Equation Problems ................................................................................................. 618

Misconceptions of Sixth Grade Secondary School Students on Fractions ............. 620

Model and (Mathematical) Modelling: Academicians’ Knowledge .......................... 622

Negative Automatic Thoughts of Secondary School Students When They Encounter Verbal Story Problems ............................................................................................ 625

Obtaining Acquisitions on the Values in the Secondary Education Mathematics Curriculum through Creative Drama Activities ........................................................ 627


xxix

Opinions of High School Students About the Writing Technique Applied in the Mathematics ........................................................................................................... 629

Orthographic and Isometric Drawing Ability of 5th Grade Students ........................ 631

Preschool Teacher Candidates’ Content Knowledge on Two Dimensional Shapes 633

Preschool Teachers’ Concept Definitions: The Case of 2d Shapes ....................... 635

Preservice Elementary Mathematics Teachers’ Concept Images Related to the Ratio and Proportion Concepts ........................................................................................ 637

Pre-service Mathematics Teachers’ Construction Process of Nine Point Circle with Geometers’ Sketchpad: The Case of Emre ............................................................ 639

Pre-Service Mathematics Teachers’ Mathematisation Processes In Modelling Activities ................................................................................................................. 641

Pre-service Teachers’ Views about the Solution Suggestions for Overcoming the Student’s Mistakes and Misconceptions ................................................................. 643

Primary School Teacher Candidates’ Pedagogical Content Knowledge on Quadrilaterals ......................................................................................................... 645

Problem Solving Approaches of Preservice Teachers ............................................ 647

Processes of Solving Linear Figure Pattern Problems of Primary School Students at Different Learning Levels ........................................................................................ 649

Prospective Preschool Teachers' Pedagogical Content Knowledge on Quantity Concepts in Terms of Children's Mistakes .............................................................. 652

Realistic Mathematics Education and Derivative Learning Opinions of 12th Grade Students about Realistic Mathematics Education and Derivative ........................... 654

Reconfigurable Kalman Filter For Estimation Of Helicopter Flight Dynamics ......... 656

Reflection From Teaching Using Eba: The Case Of Triangle Basic Elements ....... 658

Reflections on Instruction of Inequality and Absolute Value: A Research on the Action ............................................................................................................................... 660

Reflections on Pattern Generalization Processes of 8th Grade Students ................ 662

Secondary School Mathematics Teacher Candidates’ Competence in Mathematical Proof Methods ........................................................................................................ 665

Secondary School Students' Attitudes Towards Mathematics And Its Relationship To Science, Technology, Mathematics And Engineering Professions ......................... 667


xxx

Self-Evaluations of High School Students Regarding to Own Metacognitive Behaviours In Problem Solving ............................................................................... 669

Self-regulation skills in Pre-service math teachers’ as learning and as teaching roles: A case of Algebra ................................................................................................... 671

Some Considerations in Teaching Concepts of Eigenvalues and Eigenvectors ..... 673

Student Status Determination in Mathematics Course ........................................... 675

Students’ Performance in Linear Functions with Different Representations: A Cross-Age Study ............................................................................................................... 677

Teachers' Mathematical Modeling Competencies: Task Dimension ....................... 679

Teaching Maths To The Gifted Students Through Differentiated Teaching Method 682

Teaching Mathematics and Creative Drama: A Sample Lesson Plan .................... 684

The Analysis On Scientific Studies About Realistic Mathematics Teaching Approach ............................................................................................................................... 686

The Criteria That Mathematics Teachers Pay Attention While Creating Written Exam Questions and Determining Awareness of Misconceptions in This Context ........... 688

The Discovery of an Educational Mathematics Game: “Let's Put a Number with Minus Here” ...................................................................................................................... 689

The Effect of 5E Learning Model Based Activities on The Process of Creating the Concept of Congruency and Similarity of 8th Grade Students ................................ 691

The Effect of Realistic Mathematics Education on the Academic Achievement and Attitudes of the 12th Grade Students on Derivative ................................................ 693

The Effect of Sudoku, Futoshiki and Kakuro Puzzles on 8th Grade Students’ Achievement on Equality and Inequality Subjects .................................................. 695

The Effects of Discovery-Based Teaching Strategy on 8th Grade Students’ Mathematical Reasoning and Connecting Skills ..................................................... 697

The Impact of Reading on Students’ Problem Solving Skills and Their Mathematics Success* ................................................................................................................. 699

The Influence of Mathematics History on Students' Mathematical Attitudes ........... 701

The Influence of Mathematics History on the Academic Achievement of Middle School 8th Grade Students ..................................................................................... 703

The Investigation of Algorithmic Thinking Skills of 5th and 6th Graders According to Different Variables .................................................................................................. 705


xxxi

The Investigation of Algorithmic Thinking Skills of 5th and 6th Graders at a Theoretical Dimension ............................................................................................................... 707

The Investigation of Pre-service Teachers’ Knowledge of Teaching Strategies for Comparing Decimals .............................................................................................. 709

The Investigation of the Relationship Between Mathematical Connection Skill and Self-Efficacy Belief .................................................................................................. 711

The Nature of Prospective Middle School Mathematics Teachers’ Contextual Problems about Linear Graphs ............................................................................... 713

The Peer Assessment of Mathematics Games Designed by Scratch Programming Language ................................................................................................................ 716

The Relationship Between The Misconceptions Eight Graders Have About Algebra And Their Metacognitive Awareness ...................................................................... 719

The Relation Between the Number Sense and Self-Efficacy towards Number Sense of the Sixth Grade Students .................................................................................... 721

The Relationship between Success of Abstract Mathematics Lesson and Metacognitive Awareness and Attitude toward Proof ............................................. 723

To What Extent is the Westside Test Anxiety Scale (WTAS) Reliable? ................. 726

Understanding The Role of Data Collection In Doing Statistics: A Case Study with Middle School Preservice Teachers ....................................................................... 728

Use of Mental Games in Mathematics Lesson Plans ............................................. 730

Views and Designed Activities of Mathematics Teacher Candidates Who Got Trained About STEM ........................................................................................................... 733

Views of Prospective Teachers About The Teaching Mathematics With Games ... 735

What is Open-Ended Question? What is It Not? ..................................................... 737

What Paper Folding Can Do For The Concepts of Parallelism and Perpendicularity ............................................................................................................................... 739

Statistics ............................................................................................................ 742

A Brief Overview on The Geometry of The Uncentered Coefficient of Determination ............................................................................................................................... 743

A Comparison of Variation Coefficients of Biochemical Reaction Model for Several Probability Distributions .......................................................................................... 745


xxxii

A Generalization of the Hermite-Hadamard’s Inequality for Convex Stochastic Processes on the co-ordinates ............................................................................... 747

A Look at the Generalized Mathematical Model Named as Koya-Goshu Model for Biological Growths .................................................................................................. 749

A New Estimator for Ergodic Distribution of a Semi-Markovian Renewal Reward Process when Demand Distributions Belongs to the L∩D Subclass of Heavy Tailed Distributions ............................................................................................................ 751

A Parametric Estimator for the Geometric Function in Geometric Process with Exponential Interarrival Times ................................................................................ 753

A Study Over Determination Of Asymptotic Deceleration And Absolute Acceleration Points In Logistic Growth Model ............................................................................. 755

A Study Over The Effect Of Mean Curvature And Arc Length Values In Selecting The Appropriate Growth Model ...................................................................................... 757

An Application of Smooth Goodness of Fit Tests for Gamma Response Model ..... 759

Asymptotic Expansions for the Moments of the Random Walk with a Normal Distributed Interference of Chance ......................................................................... 761

Calculating the Moments of Circular Data Using Angular Distance ........................ 763

Comparison Of Goodness Of Fit Tests For Lomax Distribution .............................. 765

Comparison of Page-type Tests in Repeated Measures Designs .......................... 767

Detection of the Periodicity and Forecasting: A Study for Air Pollution in Ankara ... 769

Estimation of the Mean Value Function for Gamma Trend Renewal Process ........ 771

Evaluating Fuzzy System Reliability Using Weibull Hazard Function ..................... 773

Forecasting of Daily Electricity Consumption for Turkey ........................................ 775

Generalized Inverses of Linear Transformations in Hilbert Spaces and Some Applications in Statistics ......................................................................................... 777

Hermite-Hadamard Type Inequalities for Convex Stochastic Processes on the n-co-ordinates ................................................................................................................. 779

Hermite-Hadamard Type Inequalities for Mean-Square Differentiable r-Convex Stochastic Processes Using Fractional Integral Operators ..................................... 781

Investigation of Different Output Probability Distribution in Hidden Markov Model . 783


xxxiii

Investigation of A Model For Polio By Using Random Differential Equations and Parameters with Gaussian Distribution ................................................................... 785

Kalman Filter Based Sensor Fault Detection And Isolation Algorithms Applied To Helicopter Dynamics ............................................................................................... 787

L Moment And TL-Moment Estimation For Two Parameter Lindley Distribution And Its Application ......................................................................................................... 789

Limit Theorem for a Semi-Markovian Random Walk with Two Barriers .................. 791

Linear Prediction in Hilbert Spaces ......................................................................... 793

Parameter Estimation In Semi-Geometric Process With Exponential Interarrival Times ...................................................................................................................... 795

Performance of Goodness of Fit Tests of Nakagami Distribution against Generalized Nakagami Distribution ............................................................................................ 798

Recently Some Important Studies Delivered on the Least Squares Fitting of Quadratic Curves and Surfaces .............................................................................. 800

Some Bounds for the Mean Value Function of the Remaining Life Process Based on an Integral Equation ............................................................................................... 802

Some Equalities For Covariance Matrices Of Blups Under General Linear Mixed Model ...................................................................................................................... 804

Some Fractional Integral Inequalities for Mean-Square Twice-Differentiable r-Convex Stochastic Processes ............................................................................................. 806

Some Integral Inequalities of the Hermite-Hadamard Type for ............................... 808

Topology .............................................................................................................. 810

∂-Connected Object In The Category Of Proximity Spaces .................................... 811

A Note on Hausdorffness and Compactness in the Category of Proximity Spaces 813

Hosoya Polynomial of Graphs Belonging to Twist Knots ........................................ 815

Internal Categories In The Category of Semi-Abelian Algebras ............................. 817

Local Pre-Hausdorff Constant Filter Convergence Spaces .................................... 819

Local T2 Constant Filter Convergence Spaces ....................................................... 821

Local T0 Filter Convergence Spaces ..................................................................... 823

Local T1 Preordered Spaces ................................................................................... 825


xxxiv

Monodromy Groupoids for topological group-groupoids and Topological Double Groupoids ............................................................................................................... 827

Multiple Neutrosophic Topolojical Spaces .............................................................. 829

On Disoriented Knot Theory ................................................................................... 831

On Ordered Hyperspace Topologies in The Setting Of Čech Closure Ordered Spaces ............................................................................................................................... 833

On Soft Topological Subspace ............................................................................... 835

Some Fixed Point Results For Fuzzy (h,β)-Contractive Mappings in Non-Archimedean Fuzzy Metric Spaces ........................................................................ 837

Some Fixed Point Theorems in Modular Spaces .................................................... 839

Topological R-Module Groupoids ........................................................................... 841

Topological T- algebras .......................................................................................... 843

Tutte Polynomial for Graphs of Twist Knots ............................................................ 845

Abstracts of Poster presentations ............................................................ 847

A Note On Bounded Engel Elements In Groups ..................................................... 848

Almost Generalized Derivations ............................................................................. 849

Ambarzumyan Theorem on a Time Scale .............................................................. 851

An Investıgatıon of The Relationship Between 9th Grade Students’ Performance on Non-Routine Mathematics Problems and Their Mathematics Anxıety .................... 853

Characterization of Physics and Mathematics of Quantum Entanglement Via Ion-Photon System ....................................................................................................... 856

Examining Classroom Experiences and Perspectives of Middle School Mathematics Teachers On The Use of Tablets ............................................................................ 858

Exploring Personal Theories of a Prospective Middle School Mathematics Teacher ............................................................................................................................... 861

Generalized Derivations of Hyperlattices ................................................................ 863

Investigating a Middle School Mathematics Teacher’s Responses to Pivotal Teaching Moments ................................................................................................................. 865

Some Fixed Point Results For Contractive Type Mappings in B-Metric Spaces .... 867


xxxv

Abstracts of Workshop ................................................................................... 869

Student-Centered Mathematics Instruction-Workshop ........................................... 870

LISTS OF PARTICIPANTS OF ICMME-2018 .............................................................. 871


1

INVITED SPEAKERS


2

On the Stability, Asymptotically Stability, Integrability, Uniformly Stability and Boundedness of Solutions for a Class of Non-Linear

Volterra Integro - Differential Equations

Cemil TUNÇ Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, Van, Turkey

[email protected]

ABSTRACT

Volterra integral and integro-differential equations, integral equations and integro-

differential equations have many applications in sciences and engineering (see

Burton [2], Rahman [7], Wazwaz [18] and the cited references therein). Due to these

facts, in the last years, stability, asymptotic stability, uniform stability, boundedness,

exponentially stability, etc., of linear and non-linear Volterra integro-differential

equations, Volterra integral equations, integral equations and integro-differential

equations have been discussed by many researches. In particular, as a brief

information, the reader can referee to the articles of Becker [1], Furumochi and

Matsuoka [3], Graef et al. [4], Mahfoud [5], Raffoul [6], Rama Mohana Rao and

Srinivas [8], Tunç ([9], [10], [11], [12]), Tunç and Mohammed [13], Tunç and Tunç

([14], [15]), Wang ([16], [17]) and the works mentioned in that sources for the

former scientific results that can be found in the literature on the diverse qualitative

behaviors of various of Volterra integro-differential equations, Volterra integral

equations, integral equations and integro-differential equations.As a distinguished

information from this line, the following article is notable. In 2000, Wang [17]

considers the following Volterra integro-differential equation

0

( ) ( ) ( , ) ( ) ,

tdx

A t x t C t s x s dsdt

(1)

in which t is non-negative and real variable, ,nx ,1n (.)A and (.)C are

nn matrices, which are continuous for 0 t and 0 ,s t respectively.

Wang [17] proves three theorems related to the stability, uniform stability and

asymptotic stability of solutions of Volterra integro-differential equation (1). The

author give

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