The Role of Dispositions and Metacognitive Experiences in the Process of Solving Mathematical Problems

Authors : Sibel Beşik, İlker Cırık

Pages : 1051-1105

Doi:10.14812/cuefd.1616021

View : 79 | Download : 213

Publication Date : 2025-12-31

Article Type : Research Paper

Abstract :This study investigated the dispositions exhibited by 10th grade students while solving scenario-based mathematics problems, the metacognitive experiences they possess, and whether these differed according to the academic level of the schools they attended. Conducted using the phenomenology design, one of the qualitative research approaches, the participants were determined using the maximum diversity sampling technique, one of the purposive sampling methods. Qualitative interviews were conducted with one 10th-grade student selected from each of ten different secondary education institutions with varying academic levels in Istanbul during the 2022-2023 academic years. The data collection tools included a semi-structured interview form, an observation form, and two scenario-based mathematics problems developed by the researcher. The obtained data was analyzed using content analysis. The findings of the study revealed that the participants who exhibited certain dispositions simultaneously had higher problem-solving skills compared to those who displayed these dispositions individually. Additionally, it was found that if the exhibited dispositions were not supported by the disposition of being careful, they could be ineffective in problem-solving skills, and the self-confidence disposition negatively impacted problem-solving abilities in some cases. Furthermore, the findings demonstrated that mathematical prejudice as part of metacognitive experience could hinder problem-solving ability, while enjoying mathematics functioned as a motivational factor in displaying problem-solving skills, whereas disliking mathematics negatively influenced these skills.
Keywords : Eğilimler, Üstbilişsel Deneyimler, Problem Çözme Becerisi, Senaryo Temelli Matematik Problemleri

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