• Education of Primary School Mathematics
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• v.8 no.1
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• pp.13-22
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• 2004

There were a lot of challenges to reform mathematics education. These challenges may include reforms of teaching and learning methods, development of mathematics curriculum and textbooks, innovative resources for teaching mathematics. Although there is considerable consensus that meeting these challenges will require that mathematics teachers have deep insights about mathematics, about students as learners of mathematics, and about teaching method, the teachers themselves may have little knowledge of them. The most of the professional development includes elective participation in reeducation course, workshop, and special lectures which designed to transmit a specific set of ideas, techniques, or materials to teachers. But such approaches treat mathematics teaching as routine and technical, and also provide limited opportunities for meaningful interactions within the teaching community. So, this paper suggests that what is needed to develop professional teachers of mathematics is community where teachers work with colleagues rather than working alone.

• Education of Primary School Mathematics
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• v.4 no.1
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• pp.19-29
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• 2000

This paper is trying to answer the following two questions： "How does it likely to happen that the same content of mathematics is quite differently taught by classroom teachers\ulcorner" and "What would cause these differences in the teaching and learning of mathematics\ulcorner" According to scholars, teachers' beliefs about mathematics and the teaching and learning of mathematics should be first considered when the educational phenomena taking place in classroom are analyzed and interpreted. In this paper, through discussing the directions of reform movements of mathematics education, the definitions and characteristics of teachers' beliefs, and reviewing the previous research on teachers' beliefs, suggestions for the research on mathematics teachers' beliefs are presented.liefs are presented.

• Research in Mathematical Education
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• v.12 no.3
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• pp.167-177
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• 2008

The students' beliefs about mathematics teaching-learning come from the social activities in mathematics classrooms; and the mathematics classroom culture to a large extent decides the social activities in mathematics classrooms. So, the students' beliefs about mathematics teaching-learning are decided indirectly by the mathematics classroom culture mainly. The students' beliefs about mathematics teaching-learning react to the social activities in mathematics classrooms, and the social activities in mathematics classrooms react to the mathematics classroom culture. Therefore, the students' beliefs about mathematics teaching-learning react indirectly to the mathematics classroom culture. So, the relationships between the students' beliefs about mathematics teaching-learning and the mathematics classroom culture are dialectic, and the social activities in mathematics classrooms are the medium. In addition, the relationships have some inspirations to the current mathematics curriculum reform in the mainland China.

• Research in Mathematical Education
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• v.16 no.4
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• pp.245-263
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• 2012

The Korean mathematical curriculum has been changed three times during the resent five years. It led to changes in textbook system. In the 2007 revised mathematics curriculum, workbook was developed focusing on student's self-oriented learning, effective practice in differentiated classroom, and mathematics problem solving considering individual difference. This paper examines the characteristics of the tasks and the way the tasks are organized in the textbooks and the workbook in accordance with the 2007 revised mathematics curriculum; comparing with the function section before and after the amendment. Researchers examine whether the textbook and workbook were accomplished the purpose with "cognitive expectation", "level of cognitive demand", "and "response types". Researchers revised framework of [Son, J. W. & Senk, S. (2010). How reform curricula in the USA and Korea present multiplication and division of fraction. Educ. Stud. Math 74(2), 117-142] to make them suitable for the function section at the seventh grade.

• East Asian mathematical journal
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• v.32 no.2
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• pp.233-251
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• 2016

This study aims to investigate the presence/absence of subjects in the area of finance insurance sector in the past and corresponding areas of the courses in accordance with the reform of Korean school mathematics curriculum. In addition, the study had analyzed the linkage to the curriculum of the subjects for the Junior High, and High School in accordance with the school mathematics as mathematical knowledge base. As the results of this study, it was identified that the knowledge of mathematical contents addressed in the school mathematics education had a very high connectivity as basic mathematical knowledge to understand and utilize high level of the insurance mathematics required for the job performance in the finance insurance sector.

• 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.

• Education of Primary School Mathematics
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• v.7 no.1
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• pp.43-56
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• 2003

In late 19C, German mathematician Felix Klein declaired "Erlangen program" to reform mathematics education in Germany. The main ideas of "Erlangen program" contain the importance of instructing the concepts of functions and groups in school mathematics. After one century from that time, the importance of concepts of groups revived by Bourbaki in the sense of the algebraic structure which is the most important structure among three structures of mathematics - algebraic structure. ordered structure and topological structure. Since then, many mathematicians and mathematics educators devoted to work with the concepts of group for school mathematics. This movement landed on Korea in 21C, and now, the concepts of groups appeared in element mathematics text as plane rigid motion. In this paper, we state the rigid motions centered the symmetry - an important notion in group theory, then summarize the results obtained from some classroom activities. After that, we discuss the responses of children to concepts of groups.of groups.

• Research in Mathematical Education
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• v.3 no.1
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• pp.9-21
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• 1999

In mid 1980s, open education arrived in Korea. It was influenced by the educational reforms implemented in American primary schools. Currently, the Ministry of Education is appealing to teachers for their active involvement in educational reform by using open education methodology. Often teachers in Korea complain that they do not know what to do or how to change in order to practice the open education. It is time to review the state of open education in Korea and the United States. This paper contains the following segments: 0) Introduction, 1) Beginning of open education, 2) A brief history of open education in Korea, 3) The current status of open education in the United States, 4) A glance at open mathematics classroom in Korea, 5) Lessons from the review, and 6) Conclusion.

• Journal of The Korean Association For Science Education
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• v.32 no.6
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• pp.1072-1086
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• 2012

Science, Technology, Engineering, and Mathematics (STEM) education in the U.S. has been identified as a significant national reform in K-16 education and curriculum in order to prepare students for the global economy of the 21st century. Korea has been facing very similar challenges to improve science, technology and mathematics education, in particular, the affective aspect of learning science and mathematics. Science, Technology, Engineering, Arts, and Mathematics (STEAM) education has become a crucial issue in Korean education system. The major purpose of this exploratory study is to inform the exemplary framework of STEAM education in the U.S. for Korea and to provide descriptive and analytical accounts on STEAM teaching and learning as an innovative integrated convergence education. This study integrates the outcomes of research papers on STEM education and recent literature. It employs content analysis methodology qualitatively by analyzing and synthesizing the findings, conclusions, discussions, and recommendations of accumulated research works related to STEM/STEAM education. This study will help gain a stronger sense of the STEAM framework and will guide to develop the educational programs for Korea.

• Research in Mathematical Education
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• v.26 no.3
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• pp.203-233
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• 2023

Recent international reform movements call for attention on modeling in mathematics classrooms. However, definitions and enactment principles are unclear in policy documents. In this case study, we investigated United States high-school mathematics teachers' experiences in a professional development program focused on modeling and its enactment in schools. Our findings share teachers' experiences around their discovery of different conceptualizations, appreciations, and conflicts as they envisioned incorporating modeling into classrooms. These experiences show how professional development can be designed to engage teachers with forms of modeling, and that those experiences can inspire them to consider modeling as an imperative feature of a mathematics program.