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http://dx.doi.org/10.7468/mathedu.2017.56.3.301

Teaching Methodology for Future Mathematics Classroom:Focusing on Students' Generative Question in Ill-Structured Problem  

Na, Miyeong (Graduate School of Seoul National University)
Cho, Hyungmi (Graduate School of Seoul National University)
Kwon, Oh Nam (Department of Mathematics Education, Seoul National University)
Publication Information
The Mathematical Education / v.56, no.3, 2017 , pp. 301-318 More about this Journal
Abstract
This paper explores students' question generation process and their study in small group discussion. The research is based on Anthropological Theory of the Didactic developed by Chevallard. He argues that the savior (knowledge) we are dealing with at school is based on a paradigm that we prevail over whether we 'learn' or 'study' socially. In other words, we haven't provided students with autonomous research and learning opportunities under 'the dominant paradigm of visiting works'. As an alternative, he suggests that we should move on to a new didactic paradigm for 'questioning the world a question', and proposes the Study and Research Courses (SRC) as its pedagogical structure. This study explores the SRC structure of small group activities in solving ill-structured problems. In order to explore the SRC structure generated in the small group discussion, one middle school teacher and 7 middle school students participated in this study. The students were divided into two groups with 4 students and 3 students. The teacher conducted the lesson with ill-structured problems provided by researchers. We collected students' presentation materials and classroom video records, and then analyzed based on SRC structure. As a result, we have identified that students were able to focus on the valuable information they needed to explore. We found that the nature of the questions generated by students focused on details more than the whole of the problem. In the SRC course, we also found pattern of a small group discussion. In other words, they generated questions relatively personally, but sought answer cooperatively. This study identified the possibility of SRC as a tool to provide a holistic learning mode of small group discussions in small class, which bring about future mathematics classrooms. This study is meaningful to investigate how students develop their own mathematical inquiry process through self-directed learning, learner-specific curriculum are emphasized and the paradigm shift is required.
Keywords
anthropology theory of didactic; study and research course; ill-structured problem; productive failure;
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Times Cited By KSCI : 2  (Citation Analysis)
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