• 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.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.2
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• pp.259-281
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• 2016

Teaching practicum plays a significant role in teacher education program because it provides pre-service teachers with an opportunity to apply what they have learned to the actual teaching contexts. As such, it needs to be conducted in terms of close collaboration between university and school. Given that, in a mathematics methods course the prospective teachers in this study had an opportunity to discuss mathematics lessons they had implemented during their teaching practicum. This paper analyzed in what ways prospective teachers' comments on elementary mathematics instruction were changed through this experience. The results of this study showed that in late comment the teachers tended to focus more on mathematical discourse, consider not only the teacher of the lesson but also students, and suggest alternative approaches on the classroom events they had noticed. It is noticeable that the results analyzed by researchers were consistent with prospective teachers' self-assessment. Building on these results, this paper provides implications of teacher preparation programs to enhance prospective teachers' ability to analyze elementary mathematics lessons.

• Journal of Korean Elementary Science Education
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• v.26 no.2
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• pp.201-208
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• 2007

The purpose of this study was to analyze the structure and type of prospective elementary school teachers' scientific hypotheses generated on zoological tasks. The subjects were 18 prospective elementary school teachers. Four zoological hypothesis generation tasks were developed and administered to the subjects. After being presented with the zoological situations of the tasks, the subjects were asked to generate causal questions and scientific hypotheses. The scientific hypotheses were analyzed by the inductive approach. The results of this study showed that the hypotheses contained explicans and explicanda. The explicans were divided into two parts: 'what' and 'how'. In some cases, additional explanations were attached to the 'what' section. In addition, the hypotheses were classified into 9 types. The number of explicanda, the pattern of explicans, and the number of explicans were used as criteria for classification purposes. This study also discussed the implications of these findings for future directions in teaching and teaming in science education.

• 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.

• The Mathematical Education
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• v.46 no.4
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• pp.465-482
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• 2007

The purpose of this study was to explore how pre-service elementary school teachers participate in a course specifically designed to help them learn how to analyze instruction in terms of the levels of cognitive demand of mathematical tasks. This paper describes what prospective teachers learned while reading the cases of "implementing standards-based mathematics instruction", analyzing all tasks of one unit in one elementary mathematics textbook, observing master teachers' mathematics instruction as well as their colleagues during the practicum period, and developing their own cases on the basis of the design and implementation of instruction focused on mathematical tasks. This paper includes various reflections of the prospective teachers.

• Education of Primary School Mathematics
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• v.14 no.3
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• pp.317-328
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• 2011

We analyzed errors committed by Korean prospective elementary teachers in finding and interpreting quotient and remainder within measurement division of fractions. 65 prospective elementary teachers were participated in this study. They solved a word problem about measurement division of fractions. We analyzed solutions of all participants, and interviewed 5 participants of them. The results reveal many of these prospective teachers could not tell what fractional part of division result means. Thses results suggest that teacher preparation program should emphasize interpreting calculation results within given situations.

• Research in Mathematical Education
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• v.5 no.2
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• pp.119-126
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• 2001

In this paper we deal with two questions: 1) How have prospective teachers reflected mathematics curriculum reform in their planning of mathematics lessons\ulcorner 2) To what extent were the pre-service teachers able to be reflective about their planning of mathematics lessons\ulcorner Form analyses of videotapes, field notes, discussions among the college students, we found four features in the prospective teacher\\`s lesson plans and their teaching.

• School Mathematics
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• v.18 no.1
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• pp.61-83
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• 2016

There has been a continual need for change of teachers' assessment practices as shifting a paradigm in education. Teachers' appropriate perception of assessment influences quality of assessment and leads to change of teachers' assessment practices. This study aimed at investigate prospective elementary teachers' perceptions on assessment in mathematics. To this end, we conducted a survey with the questionnaire which was developed based on previous studies on assessment. The questionnaire was composed of 41 questions about purposes and roles of assessment, materials of assessment, reliability of assessment, methods and strategies of assessment. 95 prospective elementary teachers participated in the survey. As a result, we found that prospective elementary teachers had appropriate perception on roles of assessment, materials of assessment and strategies of assessment, whereas they showed somewhat narrow perception on reliability of assessment, purposes and methods of assessment. Based on the results, we presented possible explanations about prospective elementary teachers' lack of perception on assessment and discussed implications for prospective elementary teacher education.

• Journal of Korean Elementary Science Education
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• v.25 no.1
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• pp.96-108
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• 2006

The purpose of this study was to investigate how prospective elementary school teachers perceived teacher's inquiryoriented teaching practice, with an emphasis on students' scientific explanations based on scientific evidence. For this study, 94 prospective elementary school teachers were participated. 14 among 94 participants had chances to intensively experience this particular teaching methods for 15 weeks. All of the 94 participants observed the intended science teaching practice for 4th graders in two different elementary schools, which utilized the science talks emphasizing students' scientific explanation activity. For quantitative data analysis, they were asked to provide their reaction to the science teaching methods after their classroom observation. For qualitative data analysis, 5 among the participants, who had relatively long term experience with this teaching practice, were chosen to interview in order to understand their individual reasons of the ways they perceived about the inquiry-oriented teaching methods boosting students' scientific explanation. The results show that the prospective elementary teachers generally thought the emphasis of students' scientific explanation based on scientific evidence could enhance young elementary students' science content understanding, stimulate their curiosity/interests, and further develop their ability to engage actively in scientific discussions. However, some prospective teachers tended to think that the science teaching. methods would not be effective in terms of managing science classes, though. This study concludes that the prospective teachers tended to hold an endemic dilemma. On the one hand, they had their clear preference to the inquiry-oriented teaching practice as the most ideal teaching methods. On the other hand, they also had their persistent hesitance in using these methods due to their fear that elementary students might not adequately grasp the important science content when engaged in scientific discourse through an inquiry-oriented class.

• 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.