In this study, a general analytical model called Bag of Solution (BOS) was developed to help students understand and solve mathematical problems. The model is based on graph theory, a topic under discrete mathematics. The types of problems to be modelled for BoS were determined by looking at densities of the problems in the central placement examinations and exam preparation books. As a result, three types of problems were selected; namely Mixture, Worker and Motion problems. In order to develop a common model for solution of the three types of problems, a total of 1509 mixture, worker and movement problems were examined. After the analysis, the problem types were taken together, and variable relations were determined, and a common graph model was created. Since it is an algorithmic model, it allows solving problems both by paper and pencil and computer. This study proves that different types of problems (with different scenarios, objects and object relations) can be solved using a single model. It is expected that the BoS developed in this study will offer two benefits. It is hoped to both provide an algorithmic basis for computeraided instructional materials, adaptive systems and intelligent tutoring systems to be developed for problem solving and also help students to develop a new understanding of the problemsolving process. A common graph structure that can covers the entirety of a problem can allow students to construct their own learning while solving the problem step by step.
Primary Language  en 

Subjects  Social, Education and Educational Research 
Journal Section  Research Articles 
Authors 

Dates 
Publication Date : September 10, 2019 
Bibtex  @research article { turkbilmat486084,
journal = {Turkish Journal of Computer and Mathematics Education (TURCOMAT)},
issn = {},
eissn = {13094653},
address = {},
publisher = {Türkbilmat Eğitim Hizmetleri},
year = {2019},
volume = {10},
pages = {476  500},
doi = {10.16949/turkbilmat.486084},
title = {A General Analytical Model for Problem Solving Teaching: BoS},
key = {cite},
author = {Erümit, Ali Kürşat and Nabiyev, Vasif and Kösa, Temel and Kokoç, Mehmet and Aksoy, Ayşegül}
} 
APA  Erümit, A , Nabiyev, V , Kösa, T , Kokoç, M , Aksoy, A . (2019). A General Analytical Model for Problem Solving Teaching: BoS. Turkish Journal of Computer and Mathematics Education (TURCOMAT) , 10 (2) , 476500 . DOI: 10.16949/turkbilmat.486084 
MLA  Erümit, A , Nabiyev, V , Kösa, T , Kokoç, M , Aksoy, A . "A General Analytical Model for Problem Solving Teaching: BoS". Turkish Journal of Computer and Mathematics Education (TURCOMAT) 10 (2019 ): 476500 <https://dergipark.org.tr/en/pub/turkbilmat/issue/48621/486084> 
Chicago  Erümit, A , Nabiyev, V , Kösa, T , Kokoç, M , Aksoy, A . "A General Analytical Model for Problem Solving Teaching: BoS". Turkish Journal of Computer and Mathematics Education (TURCOMAT) 10 (2019 ): 476500 
RIS  TY  JOUR T1  A General Analytical Model for Problem Solving Teaching: BoS AU  Ali Kürşat Erümit , Vasif Nabiyev , Temel Kösa , Mehmet Kokoç , Ayşegül Aksoy Y1  2019 PY  2019 N1  doi: 10.16949/turkbilmat.486084 DO  10.16949/turkbilmat.486084 T2  Turkish Journal of Computer and Mathematics Education (TURCOMAT) JF  Journal JO  JOR SP  476 EP  500 VL  10 IS  2 SN  13094653 M3  doi: 10.16949/turkbilmat.486084 UR  https://doi.org/10.16949/turkbilmat.486084 Y2  2019 ER  
EndNote  %0 Türk Bilgisayar ve Matematik Eğitimi Dergisi A General Analytical Model for Problem Solving Teaching: BoS %A Ali Kürşat Erümit , Vasif Nabiyev , Temel Kösa , Mehmet Kokoç , Ayşegül Aksoy %T A General Analytical Model for Problem Solving Teaching: BoS %D 2019 %J Turkish Journal of Computer and Mathematics Education (TURCOMAT) %P 13094653 %V 10 %N 2 %R doi: 10.16949/turkbilmat.486084 %U 10.16949/turkbilmat.486084 
ISNAD  Erümit, Ali Kürşat , Nabiyev, Vasif , Kösa, Temel , Kokoç, Mehmet , Aksoy, Ayşegül . "A General Analytical Model for Problem Solving Teaching: BoS". Turkish Journal of Computer and Mathematics Education (TURCOMAT) 10 / 2 (September 2019): 476500 . https://doi.org/10.16949/turkbilmat.486084 
AMA  Erümit A , Nabiyev V , Kösa T , Kokoç M , Aksoy A . A General Analytical Model for Problem Solving Teaching: BoS. Turkish Journal of Computer and Mathematics Education (TURCOMAT). 2019; 10(2): 476500. 
Vancouver  Erümit A , Nabiyev V , Kösa T , Kokoç M , Aksoy A . A General Analytical Model for Problem Solving Teaching: BoS. Turkish Journal of Computer and Mathematics Education (TURCOMAT). 2019; 10(2): 500476. 