• Communications of Mathematical Education
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• v.31 no.1
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• pp.149-177
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• 2017

Since modern mathematics textbooks were introduced in the late 19th century Korea, arithmetic experts started to teach modern mathematics using Arabic numerals at village schools and churches. After the Gabo Education Reform of 1894, western mathematics education was included in public education and the mathematics textbooks began to be officially published. We explored most of Korean mathematics textbooks from 1895 to 2016 including the changes of mathematics curriculum through 1885-1905, 1905-1910, 1911-1945, 1945-1948, 1948-1953, 1954-1999, and 2000-2016. This study presents the characters of modern mathematics textbooks of Korea since 1885.

• The Mathematical Education
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• v.45 no.3 s.114
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• pp.295-313
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• 2006

University teacher education programs have sought for ways of how to improve student teaching in order to supply mathematics teachers with practical theory to achieve the goals of the current educational reform in school mathematics. In this context, the purpose of this research is to investigate the effect of student teachers' teaching experience in the after-school mathematics programs and the ways of how to develop the after-school learning programs as an effective site for learning to teach based on the inquiry into student teachers' own teaching experience. For the purpose, data were collected through the interviews with the student teachers who had taught after-school mathematics class. In addition, data were collected through survey, class observation, and seminal meetings with the student teachers in order to supplement the findings from the interview analysis. Data analysis focused on the student teachers' experience with teaching in after-school mathematics classes, that is, what and how they had learned as teachers, what kinds of difficulties they encountered in their teaching and supports that they expect to improve their learning through teaching. The analysis shows that the teaching experience in the after-school programs had positively contributed to their development as future mathematics teachers. Specifically, the after-school programs provide the site for learning through teaching at the early stage of teacher education program. The after-school programs provided the students teachers for the opportunity to participate peripherally in educational practice of school. Through the participation, the student teachers developed positive attitudes toward teaching career and became to have more solid ideas about how to teach mathematics. Based on the analysis, this research provides following suggestions concerning how to improve student teaching. First, it is necessary to provide student teachers to participate into the practice of teaching at the early stage of teacher education programs. Second, it is important to give students teacher opportunity to participate in teaching at peripheral and legitimate positions. Finally, it is necessary to construct mentoring networks to support student teachers to move from a peripheral position toward a center of teaching practice.

• Research in Mathematical Education
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• v.5 no.2
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• pp.133-141
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• 2001

One of the most fundamental problems in education in Korea up to yet is that teaching-learning activities in the classroom are carried out without considering each student\\`s interest, ability aptitude and other attributes. In 1995, National committee on Educational Reform of Korea recommended big changes on various aspects of the education system of the nation. In 1997, just before so-called the \\\"International Monetary Fund (IMF) crisis \\\" in Korea, Ministry of Education announced the seventh amendment of national curriculum. The foundation of new national curriculum is the implementation of a \\\"differentiated\\\" curriculum. Also, the new curriculum strongly suggests \\\"performance assessment\\\", which was introduced to the nation in mid 1990\\`s. However, most mathematics teachers have reluctant to both new curriculum and performance assessment.

• The Mathematical Education
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• v.43 no.2
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• pp.163-175
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• 2004

We believe new assessment strategies and practices need to be developed that will enable teachers and others to assess students' performance in a manner that reflect the 7th Korean curriculum reform vision for school mathematics. This research was conducted to develop the assessment tasks based on the current literatures such as National Council of Teachers of Mathematics (1999) and Korea Institute of Curriculum & Evaluation(KICE, 2002, 2003) in quadratic functions of the secondary school and to find the effect of these tasks by classifying students' responses. The research instrument were composed of three criteria, the previous knowledge, the application of quadratic functions, and the general properties in functions. The research data were collected from 32 high school students in a suburb of Seoul and sorted by their similarities and differences in mathematical understanding. Through the research, we could know more than ever before about how the students learned mathematics and about how to improve teachers' mathematical instruction.

• Journal of Educational Research in Mathematics
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• v.27 no.4
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• pp.857-888
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• 2017

Due to globalization, diversification, and informatization, modern society confronts change and crisis in a variety of areas such as economy, politics, and culture. In that context, mathematics educators seek for how to reform school mathematics for democratic and just society. This research proposes critical mathematics education as an alternative model of school mathematics for democratic society. In particular, this research is an explorative study to construct a model of critical mathematics education program. For the purpose, we conducted a comprehensive literature review to identify goals, contents, and methods of teaching and learning, and method of assessment for critical mathematics education. We checked the validity of the model by using the cases of critical mathematics education. Since this research is explorative in the regard that the model is based on theoretical literatures, further research is necessary to extend the model through design research in school context.

• Journal for History of Mathematics
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• v.15 no.1
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• pp.135-146
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• 2002

In this paper, we demonstrate that one can teach conditional probability in a manner consistent with many features of the statistics education reform movement. Presenting a variety of applications of conditional probability to realistic problems, we propose that interactive activities and the use of technology make conditional probability understandable, interactive, and interesting for students at a wide range of levels of mathematical ability. Along with specific examples, we provide guidelines for implementation of the activities in the classroom and instructional cues for promoting curiosity and discussion among students.

• Journal of Educational Research in Mathematics
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• v.18 no.2
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• pp.201-221
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• 2008

This study discusses how the humanity mathematics education can be realized in practice. The essence of mathematical concept is gradually disclosed revealing the ambiguities in the concept currently accepted and clarifying them. Historical development of mathematical concepts has progressed as such, exemplified with the group-theoretical thought and continuous function. In learning of mathematical concepts, thus, students have to recognize, reveal and clarify the ambiguities that intuitive and context-dependent definitions in school mathematics have. We present the process of improvement of definitions of a tangent and a polygon in school mathematics as examples. In the process, students may recognize the limitations of their thoughts and reform them with feelings of humility and satisfaction. Therefore this learning process would contribute to cultivating students' minds as the humanity mathematics education pursues.

• Education of Primary School Mathematics
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• v.1 no.2
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• pp.85-95
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• 1997

Recently, by the popularization of computers and the development of many kinds of information transmission software, the living pattern in business offices and in home-life have changed rapidly. Because of the great progression of today's science technology, the influence of social education on the children is larger than that of the traditional school.. By a rapid change in the social atmosphere, there are some people who insist the traditional school education system is of no use any more. There have been many calls for reform of traditional schooling and in particular there has been major rethinking of school mathematics. The initial demand for change in elementary school mathematics is because of the poor achievement of students. There are even more compelling reasons for change. For example today's science technology society requires a different mathematical literacy for its citizens than that of the past. The importance of problem-solving based on interest and progress is more important than just paper-pencil computation in elementary schools. And also the increasing information wave of today's society demands that the school accept the long-distance education which could not be imagined in the past. Taking account of this variety, school education in the future should willingly introduce and apply the open education system to keep pace with today's society. To accept society demands actively, today's schools are going to accept and apply the idea of the open education. In this viewpoint, the purpose of the paper is to analyze the causes of under-achievement in mathematics teaming, the directions of school mathematics education, the system of textbooks and the problems of teaching-learning programs and paper-pencil test.

• Journal of Korean Elementary Science Education
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• v.18 no.2
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• pp.1-19
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• 1999

Based on the analysis of commonalities and differences in the views of science achievement in major reform documents in the United States and Korea, an aggregated view of science achievement is presented in this paper Science achievement is conceived of in terms of science content and science process. The components of science content include: (a) concepts and theories I n physical, life, and earth and space science;(b) science, mathematics, and technology;(c) science in personal and social perspectives;(d)history and nature of science;and (e) unifying themes. The components of science process include: (a) scientific understanding;(b) scientific investigation;(c) scientific communication; and (d) scientific habits of mind. The components of science process.cut across and intersect with the components of science content. The components of science achievement overlap and are related to one another. Despite such an overlap, understanding the rot e that each component plays provides insight into its unique contributions as well as its interactions with other components. A definition of science achievement and identification of its components based on major reform documents provides a guideline for science assessment as well a s science teaching and learning.

• Journal for History of Mathematics
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• v.21 no.1
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• pp.157-166
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• 2008

Mathematical communication is an important goal of recent educational reform. The NCTM's Principle and Standards for School Mathematics, consulting an emphasis on mathematical discourse from 1991 Professional Standards for Teaching Mathematics, has a Communication Standard at each grade level. This paper examines Socrates's educational philosophy and the mathematical dialogue in Plato's. Further it examines mathematical dialogues between teachers and students from antiquity through the nineteenth century.