• East Asian mathematical journal
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• v.34 no.4
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• pp.463-486
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• 2018

This study identifies elements involved in designing rehearsals for improving preservice teachers' capacity to teach mathematics. Observation of a secondary mathematics methods course and regular interviews with the teacher educator following each class were used in this research. After characterizing what is considered and enacted in rehearsals as a way to help preservice teachers practice the work of teaching mathematics, I illustrate them with examples from the observations and interviews. I then discuss the challenge of dual contexts-the teacher education classroom and the secondary mathematics classroom-and dual perspectives-the mathematical and pedagogical-in designing and enacting rehearsals. I conclude with implications for mathematics teacher education.

• Communications of Mathematical Education
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• v.32 no.1
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• pp.59-77
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• 2018

This study aims to investigate reflections of secondary pre-service mathematics teachers and their changes through practicing as assistant teacher in mathematics classrooms. For the purpose of this study, research questions are addressed on the reflections and their changes. During the 2015 Spring semester, secondary pre-service mathematics teachers took a course related to working as assistant teachers in regular mathematics lessons in a middle school. This study selected cases of two pre-service teachers. The data such as reports on their practices and final meeting report with teachers were collected during the semester. The results showed that the secondary pre-service mathematics teachers reflected teachers, students, mathematics contents, and themselves in their reports. In addition, each participant showed different contents of reflections. This difference implied that secondary pre-service mathematics teachers could have different reflections according to the types of lessons that they participated in.

• Journal of the Korean School Mathematics Society
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• v.22 no.1
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• pp.63-80
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• 2019

This study aims to investigate noticing of pre-service secondary mathematics teachers. For the purpose of this study, we analyzed journals of four pre-service mathematics teachers. Our analysis was based on a framework including three categories such as Aware, Interpret, and Response. As results, we found a tendency that pre-service secondary mathematics teachers have more general awareness of students and relatively fewer interpretations of students' mathematical thinking than other categories. In addition, in the category of Response, the pre-service secondary mathematics teachers were more likely to explain to students than to promote students' thinking through questions. Based on these results, we would like to discuss implications for pre-service secondary mathematics teacher education.

• The Mathematical Education
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• v.51 no.4
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• pp.415-427
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• 2012

This study investigated the perception and utilization about computer of beginning secondary mathematics teachers by utilization frequency of computer. To increase utilization frequency of computer in school mathematics, our finding shows that beginning secondary mathematics teachers should have an interest in computer utilization and perceive computers as an important tool for mathematics learning. In addition, they are likely to use more frequently computer under the condition that computers have sufficient class materials and supplement their shortcomings that have derived less usage in math classes. Therefore, future studies have to investigate not only how to develope textbooks and run after-school classes but also how to make creative discretional activities by computer, which makes computers more useful for teacher training. In sum, the results of case studies for computer usability should be released to motivate computer utilization and increase mathematical thinking ability.

• The Mathematical Education
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• v.55 no.4
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• pp.523-538
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• 2016

The purpose of this study is to explore the secondary mathematics teachers' technology integration self-efficacy with respect to geometry classes which they had experienced during last 1 year, 2015. For this study, we developed and validated the questionnaires based on TPACK framework in secondary geometry context. The questionnaires contained 28 items examining the secondary mathematics teachers' TPACK. We conducted the item analysis with 28 items and then the exploring factor analysis. As a result, 28 items was categorized into 5 constructs, TPCK, TCK, TK, PCK, PK, different from Mishra and Koehler's categorization. We analyzed the secondary mathematics teachers' technology integration self-efficacy with respect to geometry classes based on 5 TPACK constructs. The results indicated that there were no significant differences in technology integration self-efficacy according to gender. But technology integration self-efficacy according to the years of teaching experience differed significantly. The more years of teaching experiences teachers have, the lower level of TPCK and TK they have and the more years of teaching experiences teachers have, the higher level of PCK they have. The results also showed that there ware significant difference in TPCK according to the existence and non-existence of taking the technology courses during the time at university. Furthermore, we provide the implication for the professional preparation program for the mathematics teachers in middle schools.

• The Mathematical Education
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• v.63 no.2
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• pp.351-368
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• 2024

One of the important factors for the effective implementation of artificial intelligence (AI) in mathematics education is the perceptions of the teachers who adopt it. This study surveyed 161 elementary school teachers and 157 secondary mathematics teachers on their perceptions of using AI in mathematics education, grouped into four categories: attitude toward using AI, AI for teaching mathematics, AI for learning mathematics, and AI for assessing mathematics. The findings showed that teachers were most positive about using AI for teaching and learning mathematics, whereas their attitudes towards using AI were less favorable. In addition, elementary school teachers demonstrated a higher positive response rate across all categories compared to secondary mathematics teachers, who exhibited more neutral perceptions. Based on the results, we discussed the pedagogical implications for teachers to effectively use AI in mathematics education.

• Journal of the Korean School Mathematics Society
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• v.16 no.3
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• pp.499-518
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• 2013

The purpose of this study is to examine the preservice secondary mathematics teachers understanding and dimensions of knowledge about definition of irrational numbers and irrational numbers and operations. I adopted a framework consisting of formal dimensions, intuitive numbers, algorithmic dimentions suggested by Tirosh et al.(1998) by adding instrumental dimension for his study. I surveyed 65 preservice secondary mathematics teachers who are in bachelor program and post-bachelor program for teacher certificate by using a questionnaire suggested by Sirotic and Zazkis(2007). The results of this study suggest that 83.1% of the participants gave correct answers in definitions of irrational numbers. 43% of the preservice secondary teachers gave correct answers in adding with irrational numbers. Also 91% of the preservice teachers gave correct answers in multiplying irrational numbers. The preservice teachers appeared to understand irrational numbers and operations at formal dimension. More than half of the preservice teachers gave incorrect answers in adding irrational numbers and a few participants gave incorrect in multiplying irrational numbers. The preservice teachers seemed to understand irrational numbers and operations at intuitive or instrumental dimension. The results also suggest that the preservice secondary mathematics teachers have incorrect understanding about irrational numbers.

• Research in Mathematical Education
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• v.11 no.4
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• pp.221-234
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• 2007

A comparison of mathematics teachers' personal beliefs between in- and pre-service teachers for Chinese secondary schools (grades 7-12) about mathematics theories, teaching and learning has been studied. In-service teachers' beliefs are close to constructivist's aspect and pre-service teachers' beliefs are close to absolutist's views. Based on the results, we give some suggestions to both teacher education and in-service teachers' training.

• Research in Mathematical Education
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• v.19 no.2
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• pp.141-153
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• 2015

This paper compares and contrasts the perspectives of effective mathematics teaching by 135 elementary school teachers, 132 middle school teachers, and 124 high school teachers using a questionnaire in South Korea. All groups of teachers chose in common the teaching and learning strand as the most important for effective mathematics instruction. However, elementary school teachers placed greater importance on the curriculum and content strand than their counterparts did. Elementary school teachers tended to agree more upon the 48 items related to good mathematics teaching than their counterparts did. The similarities and differences among the groups of teachers are expected to provoke discussion of what constitutes high-quality mathematics instruction and how such perspectives may be situated in the socio-cultural context.

• Journal of the Korean School Mathematics Society
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• v.20 no.3
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• pp.303-323
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• 2017

This is a multiple-case study of how preservice secondary mathematics teachers teach a particular mathematics using a technological tool. In a performance interview, the preservice teachers demonstrated how they would teach a specific mathematical topic using Geometer's Sketchpad. The results of this study showed that the preservice teachers designed diverse types of lesson plans and implemented different pedagogical and technological techniques in their teaching demonstrations. The findings suggest that preservice teachers' pedagogical content knowledge is an important factor in the integration of technology into their mathematics teaching. Thus, mathematics teacher educators should help preservice teachers gain a robust pedagogical content knowledge in order to effectively teach mathematics with technological tools.