• Korean Journal of Child Studies
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• v.35 no.2
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• pp.137-156
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• 2014

The purpose of this study was to better understand the tendencies and general distributive features of mathematical educational activities which are presented in the Nuri Curriculum Teaching Guidebooks. This was done by analysis of 628 mathematical activities suggested in those guidebooks, the total number of which was thirty-two. The results of this study can be summarized as follows: First, the number of activities for mathematical education was 204 for the age of three, 223 for the age of four, and 201 for the age of five. Second, these mathematical educational activities are aimed mainly for developing positive attitudes toward mathematics rather than the delivery of mathematical knowledge and skills. Third, the number of activities for developing mathematical inquiry skills was greater than that of activities for developing of inquiry attitudes. Furthermore, the characteristic of understanding the basic concepts of space and figures can be found most frequently in five kinds of activities for mathematical inquiry. Last, the activities for mathematical education are more frequently found in free choice activities rather than group activities. The results of this study also suggest that checking the current status of mathematical education for young children and the Nuri Curriculum Teaching Guidebooks can be utilized for creating teachers' manuals.

• 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.

• The Mathematical Education
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• v.42 no.4
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• pp.453-463
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• 2003

The main purpose of this paper is to develope elementary mathematics teaching-learning programs for pre-service elementary teachers. The elementary mathematics education program developed in this work is divided into two parts: One is the theory, the other is the practice. The theory deals with the foundations of mathematics, the objectives of mathematics education, the history of mathematics education in Korea, the psychology of mathematics learning, the theories of mathematics teaching and learning, and the methods of assessment. With respect to the practice, this study examines the background knowledge and activities of numbers and their operation, geometry, measurement, statistics and probability, pattern and function.

• 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.

• School Mathematics
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• v.13 no.2
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• pp.345-362
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• 2011

This paper addresses mathematics content knowledge required for teaching in secondary school. Three components of mathematical knowledge are needed for teaching: (i) knowing school mathematics, (ii) knowing process of school mathematics, (iii) making connections between school mathematics and advanced mathematics. We investigated mathematics content knowledge of secondary teachers. We found that secondary mathematics teachers have a lack of understanding in solving realistic problem, reasoning and proof, and making connections between school mathematics and advanced mathematics.

• The Mathematical Education
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• v.49 no.1
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• pp.15-37
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• 2010

In this study, we investigated the application of oriental history of mathematics in school mathematics teaching. We set up three study problems to achieve this purpose. First, we analyze the middle and high school mathematics textbooks and auxiliary books. Second, we survey the mathematics teacher's knowledge and degree of application on history of mathematics. Third, we develop the teaching and learning materials on oriental history of mathematics. We performed three study-methods to settle above study problem. First, we analyzed 24 textbooks and auxiliary books for study problem 1. There were 6 middle school mathematics textbooks and 6 auxiliary books and also 6 high school mathematics textbooks and 6 auxiliary books. We categorized the contents into "anecdote", "systematization", "application of problem", "expansibility of thought", and "comparative of the contents". Second, we surveyed the 78 mathematics teachers's knowledge and degree of application using questionnaire about knowledge and application on history of mathematics. The questionnaire was made up of four types of question; the effect of material about history of mathematics, the understanding of western history of mathematics, the understanding of oriental history of mathematics; the direction of development of teaching material. Third, we exemplified the teaching and learning materials about three categories: "anecdote", "comparative of the contents".

• The Mathematical Education
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• v.41 no.2
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• pp.173-187
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• 2002

The purpose of this study through ethnographic inquiry is to describe how an elementary teacher teaches mathematics with understanding. The ways that teachers'beliefs affect instructional activities, what means understanding from the view of cognitive psychology, and ethnographic research tradition were reviewed to anchor theoretical background of this study. A third-grade teacher and his 45 students were selected in order to capture vivid and thick descriptions of the teaching and learning activities of mathematics. Three major sources of data, that is, participant-observation with video taping, formal and informal interviews with the teacher and his students, and a variety of official documents were collected. These data were analyzed through two phases: data analysis in the field and after the fieldwork. According to data analysis, ‘teaching mathematics with understanding’ was identified as the teachers central belief of teaching mathematics. In order to implement his belief in teaching practices, the teacher made use of three strategies: ⑴ valuing individual student's own way of understanding, ⑵ bring students' everyday experiences into mathematics classroom, and ⑶ lesson objectivies stated by students. It is suggested for future research that concrete and specific norms of mathematics classroom for the improvement of mathematics understanding are needed to be identified and that experienced and skillful teachers' practical knowledge should be incorporated with theories of teaching mathematics and necessarily paid more attention by mathematics educators.

• The Mathematical Education
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• v.55 no.2
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• pp.171-192
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• 2016

As teachers' competency is evaluated based on their teaching performance. pre-service teachers need to have an opportunity to reflect on themselves by systematically analyzing and evaluating their own lesson planning and teaching performance through self-assessment. In this study, we aimed to examine what evaluation criteria for lesson planning and teaching performance pre-service mathematics teachers consider in the process of self-assessment. This study used a mixed-methods research design. To draw the self-evaluation criteria for lesson planning and teaching performance, pre-service self-reported assessments were analyzed using qualitative analyses. In addition, descriptive statistics were used to investigate the pre-service teachers' distribution across the criteria and check the ratio of pre-service mathematics teachers for each element. As a result, it was disclosed that pre-service mathematics teachers considered eight elements in self evaluating their own lesson planning and teaching performance. In addition, we found that pre-service mathematics teachers tended to consider Pedagogical Content Knowledge (PCK) more than Subject-Matter Knowledge (SMK). Moreover, the results of this study provide educational implications for the curriculum in the pre-service teacher's education program.

• Journal of the Korean School Mathematics Society
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• v.24 no.4
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• pp.327-348
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• 2021

This study examines the effects of mathematics learning mentoring activities on mathematical knowledge for teaching (MKT) of pre-service mathematics teachers. We choose six pre-service mathematics teachers in the department of mathematics education at M University. The pre-service mathematics teachers conducted 1:1 mathematics learning mentoring for two hours at a times and twice a week for 15 weeks. The pre-service mathematics teachers submitted the mentor log, which recorded weekly learning and emotional observations. We collected the mentor log and the reflection log of pre-service mathematics teachers and the interviews with pre-service mathematics teachers. Based on the collected data, we analyzed the effects of MKT, the understanding of students, and pre-service mathematics teachers' introspection by mathematics learning mentoring. We obtained conclusions as follows. First, mathematics learning mentoring provides an opportunity for pre-service mathematics teachers to apply the theory of mathematical education to schools. Thus pre-service mathematics teachers express theoretical knowledge as practical knowledge. Second, mathematics learning mentoring helps pre-service mathematics teachers have the ability to understand students and provide opportunities to reflect on their attitudes as learners. Third, mathematics learning mentoring helps advance teaching activities by providing pre-service mathematics teachers with opportunities to reflect on their teaching activities. Finally, mathematics learning mentoring has positively influenced the change in pre-service mathematics teachers' beliefs and teaching intuition.