• 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.

• Journal of Educational Research in Mathematics
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• v.11 no.1
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• pp.89-102
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• 2001

Computer has been regarded as an alternative that could overcome the difficulties in the teaching and learning of mathematics. But the didactical problems of the computer-based environment for mathematics education could give us new obstacles. In this paper, first of all, we examined the application of the learning theories of mathematics to the computer environment. If the feedbacks of the computer are too immediate, students would have less opportunity to reflect on their thinking and focus their attention on the visual aspects, which leads to the simple abstraction rather than the reflective abstraction. We also examined some other Problems related to cognitive obstacle to learn the concepts of geometric figure and the geometric knowledge. Based on the analysis on the problems related to the computer-based environment of mathematics teaching and learning, we tried to find out the direction to use computer more adequately in teaching and learning geometry.

• Journal of Elementary Mathematics Education in Korea
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• v.10 no.2
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• pp.127-150
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• 2006

The purpose of this study is to apply the principles of CGI(Cognitively Guided Instruction) into mathematics class in Korean elementary schools and to explore which mathematical concepts Korean students have and how they use informal knowledge and procedures to solve problems. In addition, this study tries to analyze difficulties that teachers might face when they are planning mathematics teachings based on CGI. The conclusions of this study are followings: First, the mathematics teaching based on CGI provides opportunity for students to communicate about mathematical knowledge that they know, The students are sure of their thoughts and learn from others by presentation. Second, the mathematics teaching based on CGI make students think mathematically. The students try to understand the meaning of problems and find various ways. Third, teachers should lead appropriate environment for the mathematics teaching based on CGI. They should offer proper problems and encourage their students to ask and answer questions respectively.

• Journal of Educational Research in Mathematics
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• v.16 no.3
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• pp.251-272
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• 2006

The purpose of the present study is to explore the process of teacher change as elementary school teachers participated in a community focused on improving mathematics teaching. To do so, a professional community lot improving instructional practice consisted of a group of voluntary elementary school teachers. The professional community provides participating teachers with great opportunities to share their understanding of practical knowledge related to mathematics teaching and learning and change mathematical beliefs as well as to learn pedagogical content knowledge. This study approached to teacher professionality in terms of mathematical beliefs and teaching practice. The change of teaching practice was measured coherently both with a questionnaire and with a mathematics teaching standard developed for this study. The findings of this study point out that techers' beliefs about how students learn mathematics have chantged. This study also indicated that after participating in the professional community focused on improving mathematics teaching, teachers' mathematical teaching is changed toward the more students' oriented way. Especially, it is observed that the meaningful change in participating teachers' teaching practice took place with respect to the role of teachers, students' interaction, mathematical tasks, and problem solving. Finally, this study implies that teachers can have an opportunity to change their beliefs and deepen their professionality about elementary mathematics teaching and learning through participating in the community of practice, through which participating teachers can share their practical knowledge and their understandings about teaching and learning of elementary mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.1
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• pp.1-17
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• 2019

In this study, prospective teachers were involved in arranging the teaching sequence of multiplication and division of fractions and decimal numbers based on their experience and knowledge of school mathematics. As a result, these activities provided an opportunity to demonstrate the prospective teachers' perception. Prospective teachers were able to learn the knowledge they needed by identifying the differences between their perceptions and curriculum. In other words, prospective teachers were able to understand the mathematical relationships inherent in the teaching sequence of multiplication and division of fractions and decimal numbers and the importance and difficulty of identifying students' prior knowledge and the effects of productive failures as teaching methods.

• School Mathematics
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• v.4 no.3
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• pp.331-346
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• 2002

This study has two purposes. One is to know that it is Possible to use portfolio in the elementary math class. The other is to make a useful method for using portfolio. We got the following conclusion through the study. Portfolio gave students an opportunity that they could review their mathematical thinking. But it couldn't work very well for the low-level students. They didn't pay attention to the class. So, careful prepa-ration and training were necessary for the portfolio material. And the portfolio material must be prepared by appropriate contents. Teacher had to do math class by considering students ability. The math class could be much better for motivation, teaching-learning activity impro-vement and communication tool by using portfolio material. There are several imple-mentation processes in preparation, execution and utilization of the class. 1) Preparation: Teacher must decide if it is appropriate for portfolio by analyzing the course and textbook and set a final goal. And then teacher has to select an appropriate item and make a schedule for the class. The portfolio material must contain valuable things from which students learn mathematics and use in their life. The student level, utilization purpose and contents are considered when one prepares portfolio material. 2) Execution: Students are supposed to understand about the portfolio very well. It is important for them to get the opportunity for reviewing through math class diary, their opinion, friends opinion and teachers opinion. 3) Utilization: Parents review ameliorates the communication among teacher, student and parents about learning activity.

• School Mathematics
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• v.16 no.3
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• pp.471-489
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• 2014

In this study, we carried out mathematics teacher-training course. The topic of this training course is the understanding of content area reading in school mathematics. The teacher-training course is planned to guide mathematics teachers can perform effectively the teaching of content area reading. In particular, we illustrated the pre-service mathematics teacher education practice. Mathematics teachers investigated various teaching strategies that can lead their students read reading materials related to mathematics effectively. In this training courses, teachers reflects on their own experience and they have an opportunity to learn the new strategies that improve their teaching methods. Teacher educator and in-service teachers share and discuss their practices, they have a meaningful learning experiences. In this study, we presented the processes of the teacher-training course and the results of practice. Furthermore, on the basis of the limitations of this study, we suggested recommendations for the future teacher training program.

• Communications of Mathematical Education
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• v.21 no.2 s.30
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• pp.153-176
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• 2007

The purpose of this paper is to analyze teaching-learning program which can be applied to mathematically gifted students in primary school, Our program is based on constructivist views on teaching and learning of mathematics. Mainly, we study the algorithmic thinking of mathematically gifted students in primary school in connection with the network problems; Eulerian graph problem, the minimum connector problem, and the shortest path problem, The above 3-subjects are not familiar with primary school mathematics, so that we adapt teaching-learning model based on the social constructivism. To achieve the purpose of this study, seventeen students in primary school participated in the study, and video type(observation) and student's mathematical note were used for collecting data while the students studied. The results of our study were summarized as follows: First, network problems based on teaching-learning model of constructivist views help students learn the algorithmic thinking. Second, the teaching-learning model based on constructivist views gives an opportunity of various mathematical thinking experience. Finally, the teaching-learning model based on constructivist views needs more the ability of teacher's research and the time of teaching for students than an ordinary teaching-learning model.

• Journal of Educational Research in Mathematics
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• v.14 no.3
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• pp.305-325
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• 2004

This study is on the teaching-learning of parameter concept in secondary school mathematics. In our school mathematics curriculum, parameter concept is explicitly presented at high school mathematics textbook. But student have difficulty in understanding parameter concept because this concept is implicitly used in the textbook from 7-grade mathematics. Moreover, it is true that mathematics teacher give a little attention to student's understanding of parameter con- cept. In this study, we analyzed concept definition of parameter and the extension of parameter on the basis of preceding research, our mathematical curriculum, mathematical dictionaries. After that, we concluded that parameter is explicitly called in t where x= f(t), y= g(t) and parameter is implicitly treated in the learning of relation between quantities in our mathematical curriculum. We pointed to the importance of parameter concept in the successful learning of school algebra. Specially, when the level of algebra is in the learning of relation between quantities, parameter is the key concept for understanding and representing of families of equations or functions. In mathematics class, students have opportunity to reflect that what the role of each variable(parameter, dependent variable, independent variable etc.) is, and where the information which determines it comes from. It is for mathematical communications as well as learning school algebra. Therefore, mathematics teacher's didactical attention is more needed to student have a good concept image of parameter before they learn explicitly its concept definition.

• School Mathematics
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• v.13 no.3
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• pp.363-384
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• 2011

This study is based on the recognition that the school mathematics education should reinforce the heuristic and constructional aspects related with discoveries of mathematical rules and understanding of mathematical concepts from real world situations as well as the deductive and formal aspects emphasizing on mathematical contents precisely. The 11th grade students of one class from a city high school with average were chosen. They were given time to learn various functions of Excel in regular classes of "Information Society and Computer" subject. They don't have difficulty using cells, mathematical functions and statistical functions in spreadsheet. Experiment was performed for six weeks and there were two hours of classes in a week. Considering the results of this research, teaching materials using spreadsheets play an important role in helping students to experience probabilistic and statistical reasoning and construct mathematical thinking. This implies that teaching materials using spreadsheet provide students with an opportunity to interact with probabilistic and statistical situations by adopting engineering which can encourage students to observe and experience various aspects of real world in authentic situations.