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http://dx.doi.org/10.30807/ksms.2018.21.4.006

An Analysis on the Mathematical Problem Solving Strategies of Ordinary Students, Gifted Students, Pre-service Teachers, and In-service Teachers  

Park, Mangoo (Seoul National University of Education)
Publication Information
Journal of the Korean School Mathematics Society / v.21, no.4, 2018 , pp. 419-443 More about this Journal
Abstract
The purpose of this study was to analyze the problem solving strategies of ordinary students, gifted students, pre-service teachers, and in-service teachers with the 'chicken and pig problem,' which has multiple strategies to obtain the solution. For this study, 98 students in the 6th grade elementary schools, 96 gifted students in a gifted institution, 72 pre-service teachers, and 60 in-service teachers were selected. The researcher presented the "chicken and pig" problem and requested them the solution strategies as many as possible for 30 minutes in a free atmosphere. As a result of the study, the gifted students used relatively various and efficient strategies compared to the ordinary students, and there was a difference in the most used strategies among the groups. In addition, the percentage of respondents who suggested four or more strategies was 1% for the ordinary students, 54% for the gifted students, 42% for the pre-service teachers, and 43% for the in-service teachers. As suggestions, the researcher asserted that various kinds of high-quality mathematical problems and solving experiences should be provided to students and teachers and have students develop multi-strategy problems. As a follow-up study, the researcher suggested that multi-strategy mathematical problems should be applied to classroom teaching in a collaborative learning environment and reflected them in teacher training program.
Keywords
gifted students; pre-service teachers; in-service teachers; multi-strategic mathematical problem;
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