• Journal of the Korean School Mathematics Society
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• v.10 no.4
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• pp.557-571
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• 2007

The purpose of this paper was to develope a model for enhancement of mathematics education using participatory mathematics. Traditionally, mathematics has been considered ready-made and students need to practice it without real applications of mathematics. The 6th grade students in the two classrooms participated in the 60 class hours and the researcher and observers investigated students' achievements and reactions. In this model, students actively apply mathematics to real-life problems and futhermore change our life, which is one of the unique elements. Thus, students can experience mathematical power while they do mathematics. Every student need to experience with this model several times in a semester so that he or she can be active a citizen to change society a better place.

• Research in Mathematical Education
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• v.16 no.1
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• pp.67-77
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• 2012

This study aimed to explore teachers' perceived beliefs regarding teaching practice in the context of three-year Professional Development Project (ProDev) implementing lesson study incorporating Open Approach. The data were collected through questionnaire distributing to the teachers in three schools. Qualitative data were collected through participatory observation on teaching practice and interviewing members of lesson study team. The findings revealed that teacher's perceived beliefs regarding teaching practice could be categorized into three categories according to 3 phases of lesson study as the followings: 1) Perceived beliefs related to collaboratively designing research lessons 2) Perceived beliefs related to collaboratively observing their friend teaching the research lesson 3) Perceived beliefs related to collaboratively doing post-discussion or reflection on the activities of the two phases.

• Communications of Mathematical Education
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• v.19 no.4 s.24
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• pp.733-767
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• 2005

During the past decades, there has been a fundamental change in the objectives and nature of mathematics education, as well as a shift in research paradigms. The changes in mathematics education emphasize learning mathematics from realistic situations, students' invention or construction solution procedures, and interaction with other students of the teacher. This shifted perspective has many similarities with the theoretical . perspective of Realistic Mathematics Education (RME) developed by Freudental. The RME theory focused the guide reinvention through mathematizing and takes into account students' informal solution strategies and interpretation through experientially real context problems. The heart of this reinvention process involves mathematizing activities in problem situations that are experientially real to students. It is important to note that reinvention in a collective, as well as individual activity, in which whole-class discussions centering on conjecture, explanation, and justification play a crucial role. The overall purpose of this study is to examine the developmental research efforts to adpat the instructional design perspective of RME to the teaching and learning of differential equation is collegiate mathematics education. Informed by the instructional design theory of RME and capitalizes on the potential technology to incorporate qualitative and numerical approaches, this study offers as approach for conceptualizing the learning and teaching of differential equation that is different from the traditional approach. Data were collected through participatory observation in a differential equations course at a university through a fall semester in 2003. All class sessions were video recorded and transcribed for later detailed analysis. Interviews were conducted systematically to probe the students' conceptual understanding and problem solving of differential equations. All the interviews were video recorded. In addition, students' works such as exams, journals and worksheets were collected for supplement the analysis of data from class observation and interview. Informed by the instructional design theory of RME, theoretical perspectives on emerging analyses of student thinking, this paper outlines an approach for conceptualizing inquiry-oriented differential equations that is different from traditional approaches and current reform efforts. One way of the wars in which thus approach complements current reform-oriented approaches 10 differential equations centers on a particular principled approach to mathematization. The findings of this research will provide insights into the role of the mathematics teacher, instructional materials, and technology, which will provide mathematics educators and instructional designers with new ways of thinking about their educational practice and new ways to foster students' mathematical justifications and ultimately improvement of educational practice in mathematics classes.

• Communications of Mathematical Education
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• v.23 no.2
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• pp.429-459
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• 2009

The purpose of this study was to help the students deepen their mathematical understanding and practitioner improve her mathematics lessons. The teacher-researcher developed mathematical situation based problem solving instruction model which was modified from PBL(Problem Based Learning instruction model). Three lessons were performed in the cycle of reflection, plan, and action. As a result of performance, reflective knowledges were noted as followed points; students' mathematical understanding, mathematical situation based problem solving instruction model, improvement of mathematics teachers.

• Journal of the Korean School Mathematics Society
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• v.15 no.3
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• pp.467-486
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• 2012

By identifying the state of adjustment regarding mathematical education for adolescents who escaped from North Korea and analyzing the relevant factors from multiple perspectives, this study is aimed at finding improvement methods for their math education adoptability. To fulfill such objective, this paper-reviewed the existing literature and research, conducted participatory observation, collected and analyzed survey research on math education adoptability for 43 students who are currently attending an alternative school for North Korean defectors. The results of this research are as follows: There is a serious pattern of maladjustment concerning math education of adolescents who defected from North Korea. The lack of basic skills in mathematical principles due to the gap in their studies results in poor academic performance, particularly in the advanced stages of learning. In the process of defection, environmental challenges, such as the loss of basic study skills which naturally results from the gap in their studies and differences in the educational curriculum between North and South Korea, are posing difficulties for these students.