• School Mathematics
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• v.15 no.2
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• pp.353-367
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• 2013

A mathematics pre-service teacher T analyzed American mathematics textbooks and developed his teaching material for instruction. This study analyzed his thinking processes and results in the view of semiotics. If we regard the textbook as a sign and the unitary conversion that students should learn as an object of the sign, the interpretant of the sign is the pre-service teacher's analysis, which is conducted at the aspects of a subject matter knowledge and student understanding. T interpreted the textbook versatilely in terms of his knowledges and experiences. He developed his teaching materials as diagrams, did the diagrammatic thinking and became to have the hypostatic abstraction. This study is significant because it used semiotics for explaining T's thinking process.

• 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 Elementary Mathematics Education in Korea
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• v.20 no.4
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• pp.601-625
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• 2016

In this study, I hoped to reveal the understanding of pre-service elementary teachers about proportional reasoning and the traits of proportional reasoning strategy used by pre-service elementary teachers. The results of this study are as follows. Pre-service elementary teachers should deal with various proportional reasoning tasks and make a conscious effort to analyze proportional reasoning task and investigate various proportional reasoning strategies through teacher education program. It is necessary that pre-service elementary teachers supplement the lacking tasks such as qualitative reasoning and distinction between proportional situation and non-proportional situation. Finally, It is suggested to preform the future research on teachers' errors and mis-conceptions of proportional reasoning.

• Journal of the Korean School Mathematics Society
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• v.12 no.2
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• pp.195-227
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• 2009

The study was designed to describe the pre service teachers' development of their TPCK throughout the teacher preparation program that integrated technology throughout the program and how they succeeded in teaching with technology in the actual classroom during student teaching. Multiple data sources were used to obtain information toward answering the research questions. Overall, the emphasis of the teacher preparation program in this study in helping preservice teachers to acquire TPCK transformed the preservice teachers' understanding described by the four components of TPCK. However, the diversity of beliefs, teaching, and technology background affected their understanding and development of TPCK throughout the program.

• Journal of Educational Research in Mathematics
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• v.19 no.4
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• pp.545-564
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• 2009

TPACK (Technological Pedagogical Content Knowledge) adds the technological knowledge to PCK (Shulman 1986), completing the combination of three kinds of knowledge, i.e. teacher's content knowledge (CK), pedagogical knowledge (PK), and technological knowledge (TK). In this study, I seek to design methodological ways to improve TPACK for preservice mathematics teachers by developing and analyzing team project-based classes with technology in a class of the first semester 2009 in a teacher's college in Seoul, South Korea. The goal of the team project is to design classes to teach mathematics with technology by selecting technology tools suitable for specific mathematical concepts or mathematics sections. In the early stage of the class in the college, the confidence levels among the preservice mathematics teachers were relatively low but increased in the final stage their mathematics teaching efficacy up to from 3.88 to 4.50. Also, the pre service mathematics teachers answered the team project was helpful or very helpful in developing TPACK; this result proves that lectures with technology which based on team project are excellent tools for the teacher to design classes with technology confidently. Considering the teacher's TPACK is one of the abilities to achieve the goals required in the information technology era, the preservice mathematics teachers are asked to plan and develop the lectures with technology, rather than just taught to know how to use technology tools or adapt to specific cases. Finally, we see that national-wide discussion and research are necessary to prepare customized standards and implementable plans for TPACK in South Korea.

• School Mathematics
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• v.8 no.1
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• pp.89-106
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• 2006

In this research, we investigated the effects of mathematics education in using Socrates , method in a course of mathematics education in teacher's college. And we proposed some suggestions for education of future mathematics teachers. This study was conducted with 44 university students(third grade) who entered the department of mathematics education (future mathematics teachers) in 2005. We took a course in curriculum that was required for the future mathematics teachers in my department. In this course, we began with the reading the famous dialogue between Socrates and Meno's slave. And we analysed Socrates' questioning of Meno's slave and tried to understand what this dialogue is implicating in mathematics education. All the participants in this course was divided 11 groups. Each group designed a school mathematics class plan using Socrates' method and practiced their teaching plan by a performance(students' announcements). Through the analysis of research data. Five effects of mathematics education in using Socrates' method for future mathematics teachers were induced. Therefore, we suggest that future mathematics teacher need to have many opportunity to design and practice a mathematics teaching plan by using mathematics teaching-learning methods taught in their course.

• Communications of Mathematical Education
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• v.34 no.3
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• pp.277-297
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• 2020

The purpose of this study was to identify and compare the mathematics educational values of pre-service and in-service elementary school teachers. For this purpose, we implemented a questionnaire investigating mathematics educational values and used principal component analysis which resulted in six components. These components were named as fun, problem-solving, representation, computation, ability, and explanation through systematic labeling processes. Both pre-service and in-service elementary school teachers considered problem-solving the most important and there was no statistical difference between the teacher groups. They also considered fun the least important and in-service elementary school teachers regarded it more important than pre-service counterparts did. All value components except explanation were regarded as important by in-service elementary school teachers, fourth-year pre-service teachers, and first-year pre-service teachers in order. The result of noticeable differences between pre-service and in-service elementary school teachers implies that actual teaching experience may affect teachers' mathematics educational values more than teacher preparation programs. Based on these findings, we need to discuss what should be regarded as important and worthwhile in teacher preparation programs to establish mathematics educational values for pre-service teachers. We also need to confirm whether the mathematics educational values by in-service elementary school teachers may be in line with what has been pursued in the national mathematics curriculum.

• Journal of Educational Research in Mathematics
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• v.21 no.1
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• pp.17-32
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• 2011

This study investigated pre-service teachers' understanding of statistical sampling. The researchers categorized major topics related to sampling into representativeness of samples, sampling variability, and sampling distribution, and selected concepts connected to each topic. Findings on this study are as follows: Even though most of the pre-service teachers considered the random sampling bringing unbiased outcomes as a proper sampling method, only 64% of them recognized that sample is a quasi-proportional, small-scale version of population; Few pre-service teachers understood that more important is the size of sample, not the portion of sample to population, and half of them appreciated that the number of sampling has a powerful effect on drawing of reliable results than the size of sample; Few pre-service teachers understood that sampling distribute is irrelevant to the shape of population and has a symmetrical bell-shape.

• Journal of the Korean School Mathematics Society
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• v.25 no.3
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• pp.225-241
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• 2022

The purpose of this study is to analyze and present what aspects of the concept of function prospective mathematics secondary teachers emphasize when designing a class that introduces the concept of function using curriculum and textbooks. For this purpose, virtual instruction and reflections on virtual instruction were analyzed. The results are as follows. The prospective mathematics secondary teachers consider and introduce the concepts of function as correspondences and processes. Their conception of function was consistently observed during virtual instruction and reflections on virtual instruction. The prospective mathematics secondary teachers' conception of function was closely related to the form of expressing functions. These results provi e implications for prospective mathematics secondary teachers' education for introducing the concept of function based on the dependent relation between variables presented in the 2015 revision of the national mathematics curriculum.

• Education of Primary School Mathematics
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• v.26 no.1
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• pp.65-82
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• 2023

The purpose of this study is to examine how pre-service teachers' digital capabilities and content knowledge for teaching pi appear and are strengthened in the process of developing digital-based teaching and learning materials of pi, and to derive implications for pre-service teacher education. To this end, the researchers analyzed the process of two pre-service teachers developing exploratory activity materials for teaching pi using block coding of AlgeoMath program. Through the analysis results, it was confirmed that AlgeoMath' block coding activities provided an experience of expressing and expanding the digital capabilities of pre-service teachers, an opportunity to deepen the content knowledge of pi, and to recognize the problems and limitations of the digital learning environment. It was also suggested that the development of digital materials using block coding needs to be used to strengthen digital capabilities of pre-service teachers, and that the curriculum knowledge needs to be emphasized as knowledge necessary for the development of digital teaching and learning materials in pre-service teacher education.