Problem-solving processes of mathematically gifted and non-gifted students

Sipahi, Yasemin
This study aimed to investigate the use of problem-solving phases and strategies of seven mathematically gifted, seven successful, and six average students attending fifth-grade in different public and private schools. The participants were selected through purposeful sampling among those who volunteered to participate in the study in a city in Western Turkey. The study was designed as a qualitative case study. Data were collected through clinical task-based interviews that included six problems, researchers’ field notes, and students’ solution sheets. All sessions were audio-recorded. Participants’ observation forms, solution sheets, and voice recordings were analyzed to determine the problem-solving phases suggested by Polya (2004) and strategies used as they attempted to solve each problem. The results showed that three groups of participants varied concerning the use and style of problem-solving phases and problem-solving strategies. Mathematically gifted students presented a higher number of attempts in applying problem-solving phases. They applied the phases sequentially while successful and average students applied them as not sequentially. Mathematically gifted students were also observed as using problem-solving strategies most and most efficiently. Adopting a different point of view and acting it out or simulation strategies were the most preferred and effectively used strategies by them while logical reasoning was the most used strategy by successful and average participants. However, logical reasoning was not utilized most effectively by the successful students. Mathematically gifted students were the most successful group in generalization and considering all conditions in a problem when using a problem-solving strategy.


Investigation of the effects of problem solving instruction on fifth grade students’ mathematical problem solving performance
Kanar, Özge; Bulut, Safure; Department of Mathematics Education (2022-2-04)
The primary purpose of the current study was to investigate the effects of problem solving instruction on 5th grade students’ mathematical problem solving performance across the three time periods. Also, the other aim of the study was to examine the relationship between 5th grade students’ mathematical problem solving performance scores of Well-Structured Problem Solving Tests (WSPST) and Ill-Structured Problem Solving Tests (ISPST) after the problem solving instruction. In addition to that, exploring s...
Investigating middle school students’ achievement and strategies in proportional reasoning problems
Yılmaz, Gamze Öze; Akyüz, Didem; Department of Elementary Science and Mathematics Education (2019)
The aims of the study are to specify the academic achievement of the fifth, sixth, seventh and eighth grade students in proportional reasoning problems, to determine how the academic achievement of these students change according to problem types, to examine their solution strategies in these problems, and to reveal how these strategies diversify from fifth to eighth grade. To collect data in order to achieve these aims, a proportional reasoning test were prepared. The study was designed as a mixed study. I...
Multiple Intelligence and Creative Drama Practices with Disadvantaged Groups
Taneri, Pervin Oya; Ceyla, Arca (2015-04-01)
This study investigates the effectiveness of multiple intelligence activities and creative drama sessions in a disadvantaged school from the perspectives of teachers and students. The data were collected in 2013-2014 academic year by using document analysis, questionnaire and semi-structured interviews. The participants of this study were 80 3 rd grade students, 30 teachers from a public school and 40 parents in Ankara, Turkey. The students were assigned control and experiment groups. In the control groups ...
Fostering preservice mathematics teachers' professional identity orientations through noticing practices in a video case-based community
Çelikdemir, Kübra; Haser, Çiğdem; Department of Mathematics and Science Education (2018)
The aim of this study was to investigate preservice middle school mathematics teachers’ professional identities in a video case-based community. Data were collected from 12 preservice teachers (the community) during the Fall semester of 2015-2016 education year in the school experience course. Six video cases in the area of Geometry and Measurement were discussed for six weeks in the community coordinated by the researcher. Data were collected via individual initial-post interviews, reflection papers, group...
Analysis of the Problem Based Learning Implementations Students and Tutors Perceptions and Actions
Ateş, Özlem; Eryılmaz, Ali (2015-03-01)
This study aims to analyze the implementation of problem-based learning (PBL) in engineering education regarding perceptions and actions of tutors and students. A case study design was employed in this study. To this end, four tutors, their five PBL modules, and fourteen students were selected. Observations and interviews were used to collect qualitative data. The results indicated that there was a difference between participants’ perception of PBL and their actions during tutorials. Participants’ level of ...
Citation Formats
Y. Sipahi, “Problem-solving processes of mathematically gifted and non-gifted students,” M.S. - Master of Science, Middle East Technical University, 2021.