• Journal of Korean Elementary Science Education
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• v.42 no.1
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• pp.47-63
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• 2023

In this study, we analyzed the PCK components in the materials units of the third and fourth grades of the Korean government-authorized teacher's guides for elementary school, developed in the 2015 revised national curriculum. The results showed that the PCK components were presented in a relatively balanced manner compared to the teacher's guides for middle school. Knowledge of the subject matter accounted for the highest proportion, and knowledge of instructional strategies in science accounted for a higher proportion than knowledge of the science curriculum. The knowledge of assessment in science showed the greatest deviation among publishers, and knowledge of students tended to show the lowest. By subcomponents, experiments and inquiries had a higher proportion than concepts and theories. The ratio of horizontal articulation was lower than that of vertical articulation or lesson objectives, and lesson objectives were presented in various ways, such as in core competencies and achievement standards for science. As questioning was emphasized, teaching strategies and questioning appeared at a similar rate. Motivation and interest, misconceptions were linked to teaching strategies and questioning. In some cases, assessment items and assessment criteria were presented at each level, and various PCK components were linked to these two components. Components with relatively large differences among publishers were supplementary or in-depth concepts, inquiry in textbooks, instruction sequence and method, subject-specific strategies, and assessment items. From the results, the implications for the development of teacher's guides were discussed.

• Journal of the Korean Geographical Society
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• v.36 no.1
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• pp.15-34
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• 2001

This is the second segment of an action research on the constructivist geography education.(1)Deeper and lasting construction of knowledge may be possible especially when some key or leading concepts are utilized, around which other related concepts may be further explored. (2) Graphic languages may be more pedagogically effective than any other language, when they are viewed as means of learning may be the teacher's questioning, cooperative discussion, and the teacher's guidance and assistance. The questioning by the teacher seems effective when it is appropriate to the different levels of learner's comprehension, and cooperative discussion among thern seems productive with the teacher's attentive guidance. And, (5) constructivism may best be understood when teachers try to embody it in their own classrooms. This may be part of the context in which action research is called for.

• Communications of Mathematical Education
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• v.22 no.1
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• pp.41-52
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• 2008

In this paper, some factors such as the perspective of children, instructional materials(especially activities in textbooks for elementary school mathematics), and teacher's questioning styles are discussed as ones influenced on students' immersion in leaner-centered instruction. This discussion is based on the author's two implementations of the kind of two instructions. About the first theme, constructivists assert that even children who are in elementary school can have reflective abstracting ability. Teachers' asking questions with the belief differ from ones with traditional perspective of children, which is relevant the third factor. They value and respect learners' thinking outcomes, even though they are not sometimes wrong and have errors. Also, they have them opportunities to think different from others and to ask how they get their answers. To do these, they frequently ask open-ended questions, not closed. All of them is possible through the activities provided in textbooks. Some characteristics which can prompt such teacher's questions using activities in elementary mathematics textbooks are discussed.

• 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.

• School Mathematics
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• v.15 no.4
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• pp.819-832
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• 2013

This study was performed to investigate the pedagogical knowledge of pre-service teachers and to explore the possibility of using Lesson Play in pre-service teacher education. Lesson Play refers to a lesson written in script form, featuring imagined interactions between a teacher and his/her students. The participants of this study were 20 pre-service teachers enrolled in mathematics education at a University in Seoul and they conducted a dialogue between a teacher and students who said that 91 is a prime number and 462 is a multiple number of 4. Conclusions were drawn based on the virtual scripts of pre-service teachers. First, it was found that the teaching strategies of pre-service teachers were not diverse. Second, pre-service teachers mainly explained the mathematical principles and concepts. Third, pre-service teachers could not understand the current state of students. Therefore, Lesson Play is helpful to analyse the pedagogical knowledge of pre-service teachers and is a applicable teaching method that can improve the practical knowledge of pre-service teachers.

• Journal of The Korean Association of Information Education
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• v.12 no.2
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• pp.141-149
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• 2008

Congruence of figure is a basic to learn a symmetrical figure and helps to understand the characteristics of figure and know the way of drawing figures. The knowledge of congruence provides us art attainments to understand design and fine pieces of art. However, it is difficult to expect the interaction between students or between teachers and students, because of spending too much time for cutting papers and making the shapes of figure during the class for establishing the concepts. This study utilized a question-based interaction model which would foster elementary school student's learning effectiveness and make them understood the concept of congruence, also developed a congruence learning system which could communicate in both synchronous and asynchronous situation.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.3
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• pp.323-345
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• 2019

This study examines the introduction of fractions in the third grade mathematics textbooks focusing on stages of units coordination and suggests alternative activities to help students develop their understanding of fractions. As results, the sessions of introduction units in textbooks was well organized to allow students to construct more extensive fraction schemes (i.e., Part-whole fraction scheme → Partitive unit fraction scheme → Partitive fraction scheme). However, most of the activities in textbooks were related to stages 1 and 2 of units coordination. In particular, the operations and partitioning schemes (i.e., equi-partitioning and splitting schemes), which are key to the development of students' fraction knowledge, were not explicitly revealed. Fraction schemes also did not extend to the Iterative fraction scheme, which is central to the construction of improper fractions. Based on these results, this study is expected to provide implications for the introduction of fractions in textbooks focusing on stages of units coordination to teachers and textbook developers.

• Journal of the Korean School Mathematics Society
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• v.20 no.4
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• pp.465-494
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• 2017

Teachers' conceptions about teaching are important driving and also interfering forces which might affect their actual practice and training. This research explores preservice mathematics teachers' conceptions of teacher discourse, through tasks analyzing and evaluating teachers' moment-to-moment discourse moves which occur in authoritative and dialogical classroom discourse. Some facets of the preservice teachers' conceptions were congruent with dialogical discourse: they criticized teacher's one-way communication and ignoring students' voices; they supported teacher's questions probing students' thinking and receptive attitude to ward students' wrong answers. However, some deep and subtle facets of their conceptions were more congruent with authoritative discourse rather than dialogical discourse: they positively perceived teacher's closed, information seeking questions that funnel students' thinking to the predetermined procedure; they emotionally resisted teacher's questions which might facilitate dialogical engagement by allowing students to judge mathematical correctness of ideas from their peers. Preservice teachers' conceptions of teacher discourse explored in this research provide useful foundations on which to build continuous and coherent teacher professional development programs about classroom discourse.

• School Mathematics
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• v.9 no.2
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• pp.259-276
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• 2007

There have been a number of lesson analysis studies, yet not many studies address the issue of the perspective of students who play a key role in the lesson along with the teacher. The purpose of this study is to investigate how the teacher and the students interpret the mathematics lesson they experienced, and to find out the potential discrepancy between the teacher and the students in their perceptions of mathematics lesson. To pursue this purpose, 10 consecutive lessons were videotaped in the 8th grade mathematics classroom, and the video-stimulated post-lesson interviews were also conducted with the teacher and the students. Based on the lesson videos and the interview data, six discrepancies between the teacher and the students in their perceptions of mathematics lesson were dentified: the discrepancy between the teacher's intention and students' interest in the lesson; different interpretation and response to the teacher's mistake; formal abidance; topaze effect; different recognition of the students' preference among the topics; teacher's insufficient response to students' needs. These six discrepancies were further categorized and some implications were drawn.

• School Mathematics
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• v.11 no.4
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• pp.583-605
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• 2009

This research aims to examine the characteristics and main subjects of the mathematics class-criticism by elementary' teachers. In this aim, we analyzed the mathematics class-criticism by the 11 elementary teachers. As the results of this research, the elementary teachers criticized the mathematics class while understanding and describing the class as it is. And mathematics class-criticism by elementary teachers showed contextual and situational characteristics. Furthermore, the main subjects of mathematics class-criticism by elementary teachers were identified as mathematical communication, teacher's question to foster the students' mathematical thinking, appropriateness of task, motivation for students, concrete operational activity, appropriateness on teacher's mathematical behavior and teacher's use of mathematical term, experience of inductive reasoning. While, we identified the significance of mathematics class-criticism for elementary teachers. The elementary teachers pointed out the necessity and importance of the mathematics class-criticism on the mathematics class in usual context.