• School Mathematics
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• v.13 no.4
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• pp.633-649
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• 2011

A variety of competencies for good teaching in mathematics has been discussed. It has been expected that there is discordance between researchers and teachers' perspectives on the competencies. We attempted to investigate teachers' perspectives rather than researchers' to narrow the possible discordance. First, we built a list of competencies for good teaching that mathematics teachers should meet by reviewing literatures. Second, we investigated mathematics teachers' perceptions about what requirements teachers should meet for good teaching, how mathematics learning experiences at the university level influence teachers' competence cultivation, and how pre-service teacher education influence teachers' competence building. Based on the results, we discussed mathematics teachers' competencies for good teaching and provided implications for pre-service teacher education.

• Journal of Educational Research in Mathematics
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• v.27 no.3
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• pp.511-536
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• 2017

The present study aims to investigate ways in which pre-service secondary mathematics teachers anticipate 1) students' responses to specific mathematical tasks which are chosen or devised by the participating pre-service teachers as requiring students' higher cognitive demand and, 2) their roles as math teachers to scaffold students' mathematical thinking. To achieve the goal, we had our pre-service teachers to engage in an adapted version of Spangler & Hallman-Thrasher(2014)'s Task Dialogue writing activity whose focus was to develop pre-service elementary teachers' ability to orchestrate mathematical discussion. 14 pre-service teachers who were junior at the time enrolled in the Mathematics Teaching Method Course were subjects of the current study. In-depth analysis of both Task Dialogues which pre-service secondary mathematics teachers wrote and audiotapes of the group discussions while they wrote the dialogues suggests the following results: First, the pre-service secondary teachers anticipated how students would approach a task based on their own teaching experiences. Second, they were challenged not only to anticipate more than one correct students' responses but to generate questions for the predicted correct-responses to bring forth students' divergent thinking. Finally, although they were aware that students' knowledge should be the crucial element guiding their decision-making process in teaching, they tended to lower the cognitive demands of tasks by providing students with too much guidance which brought forth the use of procedural knowledge. The study contributes to the field as it provides insights as to what to attend in designing teacher education course whose goal is to provide a foundation for developing pre-service teachers' ability to effectively orchestrate mathematical discussion.

• Education of Primary School Mathematics
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• v.20 no.2
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• pp.153-162
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• 2017

This study examined elementary pre-service teachers' (PSTs') perceived preparedness of high-leverage practices (HLPs) in mathematics teaching. Eighty-one elementary PSTs who enrolled in four sections of an elementary mathematics methods course at a Midwestern University in the United States participated in a survey that inquired their self-reported confidence and competence levels on HLPs. This study specifically investigated the comparison between PSTs' perceptions of HLPs and the mathematics teacher educators' expectations. Findings show several glaring differences between the PSTs' perceptions and experts' perceptions in regards to the complexity of some HLPs. This study suggests that initial teacher training programs should include more specific investment in PSTs' insights into details of each teaching practice in mathematics by deliberate decompositions.

• Journal of Elementary Mathematics Education in Korea
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• v.22 no.2
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• pp.161-181
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• 2018

This study involved an investigation of prospective elementary teachers' preconceptions and experiences of diagrams and their ability to draw diagrams in solving math word problems. A questionnaire and two math word problems were administered to prospective elementary teachers who began to taking an introductory mathematics education course. The results from the analysis of their responses to the questionnaire items indicate that prospective elementary teachers appreciate the value of diagrams as tools for problem solving and communication. In addition, prospective elementary teachers have the will not only to teach their future students how to use diagrams but also to encourage them to draw diagrams in solving math word problems. However, the results also indicates that prospective elementary teachers neither use diagrams spontaneously in their math problem solving activities nor have confidence in drawing useful diagrams. Prospective elementary teachers also manifested low scores on the questionnaire items asking whether they were taught how to draw useful diagrams or encouraged by their teachers to use diagrams in their previous learning experiences. The results from the analysis of the diagrams that prospective elementary teachers drew in solving math word problems showed that most of them had difficulty drawing diagrams that represent their reasoning and solving process.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.1
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• pp.81-105
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• 2015

The purpose of this study was to analyze the perceptions of creativity in mathematics of preservice elementary school teachers. Creativity in Mathematics is one of the most important components in mathematics teaching and learning, which has been emphasized in the Principles and Standards for School Mathematics and the 2009 Revised Mathematics Curriculum. For this study, the researcher analyzed reports of creativity in mathematics in mathematics lessons from the perspectives of 55 preservice elementary school teachers. The preservice teachers observed 55 mathematics lessons focusing on creativity in mathematics during their two-week-student-teaching period. The results showed the followings. First, the preservice teachers had a narrow perceptions on creativity in mathematics. Second, observational experiences of mathematics lessons led the preservice teachers to reconsideration of creativity in mathematics. Third, the preservice teachers provided a various strategies to enhance students' creativity in mathematics. The researcher suggested the followings. First, definitions and practices of creativity in mathematics should be included in the teacher education programs. Second, mathematics textbooks should include creativity in mathematics in a sophisticated manner. Third, creativity-rich materials should be developed and distributed to teachers. Finally, well-designed teacher training programs should be necessary.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.553-565
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• 2013

The purpose of this study was to examine how the Lakatos method works in the elementary teacher education program. Elementary preservice teachers were given a task in which they examined the Pick's theorem. The finding revealed that Lakatos method was usable in the elementary teacher education. They produced initial conjecture and found counterexamples, and finally made improved conjectures. These experience encourage them to change their belief of teaching and learning mathematics and to find alternative ways of teaching mathematics.

• Journal of Educational Research in Mathematics
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• v.22 no.2
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• pp.277-292
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• 2012

Teacher's competence in student assessment can be developed by the successive experiences that they choose assessment methods, develop assessment instrument, administer the assessment, score and grade students' responses, analyze, interpret, use, and communicate assessment results, and reflect the whole assessment processes. In this study I educated pre-service teachers in order for them to improve their assessment competence. Mathematics pre-service teachers practiced and reflected the assessment processes. In the aspects of reflections, I analyzed their journals about the knowledge of assessment, the dual situation as a student and a teacher, and their assessment practices. These areas are proved to interact each other, contribute pre-service teachers' assessment competence and construct the elements of assessment competence. And I identified the development of pre-service teachers' assessment competence quantitatively by the teacher's assessment competence test.

• The Mathematical Education
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• v.52 no.2
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• pp.231-245
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• 2013

MTEBI는 미국에서 초등 예비 교사들의 수학 교수 효능감을 측정하는데 자주 이용되는 척도이다. 이 연구의 목적은 MTEBI를 한국의 중등 예비 교사들에게 사용하는 것이 적합한지를 탐색하는 것이었다. 이를 위하여, 미국에 있는 대학원에 다니며 영어와 국어 둘 다 말할 수 있는 박사 학생 두 명이 MTEBI를 브리슬린의 이론대로 국문으로 번역하였고, 그 뒤에 한국에 있는 다수의 수학 교사 교육자들이 번역된 척도를 면밀하게 검토하였다. 한글판 척도를 먼저 작은 표본에서 초벌 실험하였는데, 두 개 문항이 도구의 신뢰도와 타당도를 현저하게 떨어뜨렸다. 본 연구에서는 이 두 개의 유용하지 못한 문항을 대신할 두 개 문항을 더한 23개 문항으로 구성된 척도에 대하여 정규성, 신뢰도, 요인 타당도 등을 658명의 표본에서 검사하였다. 초벌 연구에서 발견된 두 개의 유효하지 않는 문항은 본 연구에서도 역시 그와 같아서, 그 두 문항은 척도에서 제거되었다. 최종적으로 얻어진 21 문항 척도는 한국의 예비 수학 교사들의 수학 교수 효능감을 측정하는데 적합한 척도이다. 앞으로, MTEBI 한글판을 이용하여 한국에서 교사 효능감에 대한 연구가 활발하게 일어나기를 기대한다.

• Education of Primary School Mathematics
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• v.25 no.1
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• pp.101-123
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• 2022

Recently, as the educational paradigm shifts from teacher-centered to learner-centered, the active construction of knowledge of learners is becoming more important. Accordingly, classes using mathematical modeling are receiving attention. However, existing research is focused on teachers or middle and high school students, so it is difficult to apply the contents and results of the research to preservice teachers. Therefore, in this study, the experience of mathematical modeling was examined for elementary school preservice teachers. And we looked at how positive experiences of mathematical modeling change their perceptions. As a result of the study, elementary school preservice teachers had very little experience in mathematical modeling during their school days. In addition, it was found that the perceptions changed more positively than when a theoretical class on mathematical modeling was conducted, rather than when the experience of mathematical modeling was actually shared. Based on the results of this study, implications were suggested in the course of training preservice teachers.

• Journal of the Korean School Mathematics Society
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• v.17 no.3
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• pp.321-335
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• 2014

This study aimed to investigate beliefs of secondary pre-service teachers in mathematics. In particular, conceptions of teaching and learning were examined, For the purpose of this study, using an instrument, Teaching and Learning Conceptions Questionnaire, developed by Chan & Elliot(2004), a survey was conducted for 86 secondary mathematics pre-service teachers in Incheon area. The results showed that the mathematics pre-service teachers strongly agreed with the constructivist perspectives. In addition, compared to the juniors, the seniors responded more positive in the questions relative to the traditionalist view and the male students agreed more with the traditional conceptions, as comparing to the female students in this study. This study had limitations on the extent of the research site and participant. However, it would provide foundational information about pre-service teachers for teacher educators.