• Journal of the Korean School Mathematics Society
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• v.23 no.4
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• pp.491-508
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• 2020

In this study, by measuring and analyzing the motivation of prospective mathematics teachers in learning mathematics, we tried to understand the features of prospective teachers' learning motivation and find the implications of developing expertise in terms of learning motivation. Prior research related to learning motivation identifies the three elements that consist of learning motivation as values, self-efficacy, and interest. Based on these elements, a survey tool was developed to investigate the learning motivation of prospective mathematics teachers. This survey was then carried out for 120 students in the mathematics education department of a local college. In addition, the survey asked what methods prospective teachers would choose for motivating their future students. According to the results of this study, the overall motivation of prospective mathematics teachers differed by grade (academic year) and there were significant differences between grades in self-efficacy and interest factors. In addition, the prospective teachers preferred to use interesting materials rather than inform the value of learning mathematics to induce learning motivation. Therefore, it is necessary to enhance this self-efficacy and interest in learning and to provide various material to strengthen this motivation for learning.

• School Mathematics
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• v.17 no.2
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• pp.179-202
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• 2015

In this research, I explored how to apply the history of mathematics in teacher education and investigated the applicability of Chosun Sanhak (mathematics of Chosun Dynasty) as the program that enriched the mathematical knowledge for teaching of prospective elementary school teachers. This program included not only mathematical knowledge but also socio-cultural knowledge and connection knowledge. Prospective teachers participated in various mathematical activities such as explaining, reasoning and problem solving in this program. The effects of this program are as follows. Prospective teachers learned the subject matter knowledge(SMK) which was helpful in teaching basic concepts and skills of elementary mathematics. Next, this program produced the pedagogical content knowledge(PCK) to prospective teachers by giving ideas how to teach.

• The Mathematical Education
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• v.45 no.2 s.113
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• pp.177-189
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• 2006

This study focuses on the analysis of prospective elementary teachers' representation of trapezoid area and teacher educator's reflecting in the context of a mathematics course. In this study, I use my own teaching and classroom of prospective elementary teachers as the site for investigation. 1 examine the ways in which my own pedagogical content knowledge as a teacher educator influence and influenced by my work with students. Data for the study is provided by audiotape of class proceeding. Episode describes the ways in which the mathematics was presented with respect to the development and use of representation, and centers around trapezoid area. The episode deals with my gaining a deeper understanding of different types of representations-symbolic, visual, and language. In conclusion, I present two major finding of this study. First, Each representation influences mutually. Prospective elementary teachers reasoned visual representation from symbolic and language. And converse is true. Second, Teacher educator should be prepared proper mathematical language through teaching and learning with his students.

• Research in Mathematical Education
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• v.26 no.2
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• pp.45-61
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• 2023

Number talks as a brief instructional routine benefits students and teachers. In general, the routines consist of four steps- introducing, posing questions, collecting answers, sharing ideas. This paper focuses on the sharing ideas step in which multiple strategies are shared by students because teachers sometimes do not know what to do with these multiple ideas. One way is to support students to engage in comparison given that teachers are expected to support students to compare strategies in number talks. This paper explores whether and how 15 prospective teachers supported students in their practicum classroom to compare different strategies in their enacted number talk. In this paper, 15 videos of number talks enacted by the prospective teachers were collected. Analyzing the videos produced multiple episodes in relation to comparing strategies, including 1) where prospective teachers created pre-conditions for comparison, 2) where they invited students for comparison, 3) where they pressed students to compare, and 4) where they offered their own way to compare. There were two patterns that might limit the potential of having multiple strategies as conditions for comparison. Additionally, this paper found that even though the prospective teachers missed opportunities to support students to compare different strategies, there were two ways for teachers to support students to engage in comparison. These findings can be used for mathematics teacher educators to support prospective teachers.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.4
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• pp.625-647
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• 2015

How a pre-service teacher understands and comments on mathematics instruction can serve as the foundation of her teaching expertise. Given that prospective teachers observe demonstrative mathematics teaching implemented by an in-service teacher and make a comment on it during their practicum period, this paper specified the levels of their ability in commenting on mathematics instruction and explored the characteristics of such levels. It is significant that this paper provides a systematic and comprehensive analysis of such levels in terms of topic, agent, stance, evidence, and alternative perspective. The results of this study showed that the commenting levels may be classified by Level 1 (fragmentary), Level 2 (inspective), and Level 3 (analytical), and that the most frequent level of this study was at Level 2. Multiple regression analysis demonstrated that stance is the most influential in determining the levels of comments among their analytic components. An analysis of the participants' anecdotes showed that the experience of observing demonstrative teaching during the practicum may have impact on the belief of mathematics instruction and self-image as a teacher. Building on these results, this paper provides implications of teacher preparation programs to enhance prospective teachers' ability to analyze elementary mathematics lessons.

• Research in Mathematical Education
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• v.22 no.3
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• pp.203-222
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• 2019

Despite its importance when it is employed in classrooms, scaffolding is limited in the classrooms. Many researchers have focused on contingent teaching, which is the first component of scaffolding. Given a lack of research on contingent teaching with prospective teachers (PSTs), this paper explores how PSTs intend to do contingent teaching in small groups when they engage in mathematics teaching. Building on research on contingent teaching, I analyzed 26 PSTs' written responses to scenarios in an online open-ended survey. The focus of the analysis was on how the PSTs would do contingent teaching that might support students to learn the subject matter. I present findings in relation to what the PSTs' responses showed in relation to contingent teaching with the subject matter. The findings will be discussed along with implications.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.3
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• pp.251-266
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• 2015

The statement, 'Taking more mathematics would result a better mathematics teacher.' sounds plausible. However, it is questionable that how much of taking university level of mathematics such as abstract algebra and real analysis would affect to teach elementary mathematics well. Would a mathematician be a better teacher for elementary students to teach mathematics than who has been prepared to teach elementary mathematics? This paper reports the effects of opportunities to learn tertiary level mathematics and school level mathematics on pre-service primary school teachers' mathematics pedagogical content knowledge. The study analyzed Teacher Education and Development Study in Mathematics 2008 (TEDS-M 2008) database using multiple regression. Prospective primary teachers who have been prepared as generalist were the focus of the study. The results support future elementary teachers might need to have opportunities to revisit school mathematics they are going to teach.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.3
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• pp.487-507
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• 2011

Despite the recent increased attention to mathematics teacher education there have been lack of empirical studies on how to teach teachers. A study of mathematics instruction for prospective teachers can be conducted either by a teacher educator's critical reflection on her teaching or by observation of others' teaching practices. This paper was from the author's observation of a mathematics instruction course for future elementary teachers at the University of California at Irvine. As such this paper described in detail how the course was implemented throughout the quarter and drew implications for a teacher preparation program in Korea. As the course had a specific purpose of promoting future teachers' expertise in mathematics instruction and employed various strategies that were different from a typical university course, this paper is expected to provide teacher educators with the insight of an alternative teaching style and to provoke discussion of how to connect theory to practice for effective teacher education.

• School Mathematics
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• v.10 no.2
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• pp.279-296
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• 2008

This research aims to compare and identify the prospective elementary teachers' perspectives on mathematics class. In this aim, we analyzed the comments on the mathematics class by the prospective elementary teachers (senior students and junior students) who are differ in the time of study in the University of Education. As the results of this research, the senior students commented the mathematics class by applying the theories in mathematics education, but the junior students did not. Furthermore, the senior students had the more rigid perspectives on mathematics class and commented in more depth on mathematics class in comparison with the junior students. While, the senior students showed a weak point that they overextended and over-applied the some mathematics education theories in the comments on mathematics class.

• School Mathematics
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• v.8 no.3
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• pp.301-326
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• 2006

Teacher's competence in student assessment is an essential ability to mathematics teachers and should be improved qualitatively. This study suggests how college of education should make efforts in educating prospective teachers who will have competence in student assessment. First, $\ulcorner$Assessment of Mathematics Learning$\lrcorner$ must be set as a required subject. Second, the contents of the subject should be consisted to improve the competence of the prospective teachers in student assessment. Therefore, the contents based on the standards of teacher's competence in student assessment are suggested in this paper. Third, teaching methods should be practiced by using exemplary samples of teacher's assessment on students in addition to lecture.