• Journal of Educational Research in Mathematics
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• v.24 no.4
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• pp.555-572
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• 2014

Teacher preparation programs are responsible for preparing teachers to be able to perform their work with professional knowledge and skills. What opportunities to learn such knowledge and skills the programs intentionally develop for prospective teachers can be discerned by looking at the curriculum of teacher education. The purpose of this study is to find implications for the curriculum in elementary teacher education in South Korea, especially as that pertains to opportunities to learn teaching mathematics. This paper compares the curricula of 21 teacher preparation programs for elementary teachers in South Korea and in the United States. It finds that the programs in both countries emphasize teacher preparation to teach subject matter and to help elementary students improve their academic knowledge. The overall structures of the curriculums outlined in the programs of both countries are relatively comparable. In terms of the opportunities to learn teaching mathematics, however, they are quite different in what authentic contents they offer. This paper discusses the need for more emphasis on mathematical knowledge for teaching.

• Communications of Mathematical Education
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• v.32 no.3
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• pp.297-314
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• 2018

This article aims at providing implication for teacher preparation program through interpreting pre-service teachers' knowledge by using Shulman-Fischbein framework. Shulman-Fischbein framework combines two dimensions (SMK and PCK) from Shulman with three components of mathematical knowledge (algorithmic, formal, and intuitive) from Fischbein, which results in six cells about teachers' knowledge (mathematical algorithmic-, formal-, intuitive- SMK and mathematical algorithmic-, formal-, intuitive- PCK). To accomplish the purpose, five pre-service teachers participated in this research and they performed a series of tasks that were designed to investigate their SMK and PCK with regard to students' misconception in the area of geometry. The analysis revealed that pre-service teachers had fairly strong SMK in that they could solve the problems of tasks and suggest prerequisite knowledge to solve the problems. They tended to emphasize formal aspect of mathematics, especially logic, mathematical rigor, rather than algorithmic and intuitive knowledge. When they analyzed students' misconception, pre-service teachers did not deeply consider the levels of students' thinking in that they asked 4-6 grade students to show abstract and formal thinking. When they suggested instructional strategies to correct students' misconception, pre-service teachers provided superficial answers. In order to enhance their knowledge of students, these findings imply that pre-service teachers need to be provided with opportunity to investigate students' conception and misconception.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.3
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• pp.493-504
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• 2014

Some problems of elementary mathematics textbook applying storytelling continue to be suggested since implementing it in mathematics instruction. The paper looks into concrete problems. First problem is the lack of mathematics education experts studying storytelling in the field. Second problem is that a variety of materials including storytelling need to be used in the process of developing instruction materials. Third problem is that storytelling needs to include integration of various mathematical knowledge. Fourth problem is that it is needed to develop making storytelling focused on mathematical concepts. Fifth problem is that there is no appropriate lessen plan necessary for instruction applying storytelling. Sixth problem is that storytelling inducts intrinsic motivation as well as extrinsic motivation. Final problem is the sources of story need to be diverse. It is expected that storytelling reflecting those aspects is developed.

• Journal of Elementary Mathematics Education in Korea
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• v.3 no.1
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• pp.75-92
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• 1999

Many educators say that one of the key theory which is widely accepted teaching-learning process in the 7th mathematics curriculum is constructivism. They believe constructivism is very powerful as a background theory in teaching-learning mathematics and in this point of view, each student can construct knowledge by himself in the inner world. Therefore, the aspect of teaching-learning methods in the 7th mathematics curriculum focused on inquiry learning, self-directed learning, cooperative learning. Through this methods, the 7th mathematics text also composed of ease, interesting and dynamic activity oriented subjects. And constructive teaching-learning methods in mathematics is implemented variously by those whom attracted in constructivism. Thus, the purpose of this study is to build up a model that is required to systematize teaching-learning process in mathematics as a guideline for teachers. Another purpose of this study is to make clear that the presented model is appropriate process for teaching-learning in mathematics.

• Journal of Educational Research in Mathematics
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• v.17 no.3
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• pp.309-331
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• 2007

Mathematics education starts from learning the concept of number. How the children at the beginning of school age learn the concept of natural number is therefore important for their future mathematics education. Since ancient Greek period, the concept of natural number has reflected various mathematical-philosophical points of view at each period and has been discussed ceaselessly. The concept of natural number is hard to define. Since 19th century, it has also been widely discussed in psychology and education on how to teach the concept of natural number to the children at the beginning of school age. Most of the works, however, were focused on limited aspects of natural number concept. This study aims to show the best way to teach the children at the beginning of school age the various aspects of natural number concept based on activistic perspective, which played a crucial role in modern mathematics education. With this purpose, I investigated the theory of the activistic construction of knowledge and the construction of natural number concept through activity, and activistic approaches about instruction in natural number concept made by Kant, Dewey, Piaget, Davydov and Freudenthal. In addition, I also discussed various aspects of natural number concept in historical and mathematical-philosophical points of view. Based on this investigation, I tried to find out existing problems in instructing natural number to primary school children in the 7th National Curriculum and aimed to provide a new solution to improve present problems based on activistic approaches. And based on activistic perspective, I conducted an experiment using Cuisenaire colour rods and showed that even the children at the beginning of school age can acquire the various aspects of natural number concept efficiently. To sum up, in this thesis, I analyzed epistemological background on activistic construction of natural number concept and presented activistic approach method to teach various aspects of natural number concept to the children at the beginning of school age based on activism.

• Communications of Mathematical Education
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• v.15
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• pp.161-166
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• 2003

본 연구는 학습 구조차트 구성을 통하여 고등학교 수학의 학습내용을 구조적 ${\cdot}$ 체계적으로 조직화시켜 학생들로 하여금 학습 내용의 효과적인 이해와 상호 관련성을 촉진시키고 학습 내용의 조직화 및 구조화 활동이 고등학생들의 학업에 미치는 영향을 조사하는데 그 목적이 있다. 본 연구에 따르면 수학 학업성취도가 상인 학생은 문제풀이시 머릿속에서 차트를 그리게 되고 여러 가지 개념을 나열하여 조작할 수 있는 능력이 생겼으며 문제 유형에 맞춘 학습 보다는 어떤 개념들이 문제풀이에 사용되었으며 이러한 개념들이 어떻게 나열되는지에 대한 학습으로 관심이 전환되었다. 수학학업 성취도가 하인 학생들은 학습 구조차트의 구성에만 만족하는 편이며 선행지식의 부족으로 복합적인 개념의 문제풀이에 있어서는 여전히 어려움을 경험하고 있었다. 성적이 낮은 학생일수록 개념에 대한 구조화와 조직화에 대한 어려움이 많은 것으로 보여 이들 학생들에 대한 장기적인 연구가 필요하다고 본다.

• Journal of Educational Research in Mathematics
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• v.13 no.4
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• pp.447-462
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• 2003

The purpose of this study was to Investigate the preservice elementary teachers' pedagogical content knowledge of addition and subtraction. The subjects for data collection were 29 preservice elementary teachers and data were collected through open ended problems. The findings imply that the preservice elementary teachers show low level of understanding of addition and subtraction such as the word problem posing and the contexts of part-part-whole and compare. The research results indicate that the preservice elementary teachers possess primarily a procedural knowledge of pedagogical content knowledge and don't understand relationship with real-world situation. This study provide the information available on developing program for preservice elementary teachers.

• Journal of Educational Research in Mathematics
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• v.15 no.2
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• pp.107-130
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• 2005

The aims of this study are to identify Dewey's theory on mathematics education and to clarify its influence on the modern theories of mathematics education. For this purpose, we have examined Dewey's theory of knowledge named as pragmatism or instrumentalism, and studied the Dewey's theory of education in which he maintained education is the reconstruction of experiences. And then, we have examined Dewey's theory on mathematics education, such as theory of mathematics, purpose of mathematics education, contents of mathematics education, and methods of mathematics education respectively. After that, we have analyzed how his theory on mathematics education is connected with the diverse theories of modern mathematics education, such as Piaget's operational constructivism, Freudenthal's theory of realistic mathematics education, Polya's theory on mathematical problem-solving, and social constructivism. Through this study, we might say that Dewey's theory on mathematics education is a prototype of modern theories of mathematics education and a comprehensive paradigm which is very suggestive to the phenomena of mathematics education.

• Education of Primary School Mathematics
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• v.17 no.2
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• pp.95-111
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• 2014

The purpose of this study is to determine the relationship between metacognition and math creative problem solving ability. Specific research questions set up according to the purpose of this study are as follows. First, what relation does metacognition has with creative math problem-solving ability of mathematically gifted elementary students? Second, how does each component of metacognition (i.e. metacognitive knowledge, metacognitive regulation, metacognitive experiences) influences the math creative problem solving ability of mathematically gifted elementary students? The present study was conducted with a total of 80 fifth grade mathematically gifted elementary students. For assessment tools, the study used the Math Creative Problem Solving Ability Test and the Metacognition Test. Analyses of collected data involved descriptive statistics, computation of Pearson's product moment correlation coefficient, and multiple regression analysis by using the SPSS Statistics 20. The findings from the study were as follows. First, a great deal of variability between individuals was found in math creative problem solving ability and metacognition even within the group of mathematically gifted elementary students. Second, significant correlation was found between math creative problem solving ability and metacognition. Third, according to multiple regression analysis of math creative problem solving ability by component of metacognition, it was found that metacognitive knowledge is the metacognitive component that relatively has the greatest effect on overall math creative problem-solving ability. Fourth, results indicated that metacognitive knowledge has the greatest effect on fluency and originality among subelements of math creative problem solving ability, while metacognitive regulation has the greatest effect on flexibility. It was found that metacognitive experiences relatively has little effect on math creative problem solving ability. This findings suggests the possibility of metacognitive approach in math gifted curricula and programs for cultivating mathematically gifted students' math creative problem-solving ability.

• Journal of the Korean School Mathematics Society
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• v.15 no.2
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• pp.349-369
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• 2012

In the present reflective study, the research findings of professional development in mathematics education are reviewed and significant ideas that emerged are addressed in ter ms of (1) building on collaborative effort; (2) focusing on content knowledge; (3) centering on students' learning and bringing forth teacher knowledge; (4) perception-based and conception-based perspective; 5) situating in the context of teaching and sustained over ti me. Then it is followed by suggesting what components a desirable professional develop ment program needs to include and a possible direction toward which future research on professional development in mathematics education heads.