• Education of Primary School Mathematics
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• v.4 no.1
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• pp.43-49
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• 2000

The purpose of this paper is to address the theory of counting and the development of number concepts. Leslie Steffe and his colleagues developed the theory of children's counting types using the teaching experiment. As the results of their research, they published two books： "Children's counting types" (Steffe, von Glasersfeld, Richards, '||'&'||' Cobb, 1983) and "Construction of arithmetic meanings and strategies" (Steffe, Cobb, ＆ von Glasersfeld, 1988). They classified children's counting types into five categories： Perceptual Counting Stage, Figural Counting Stages, Initial Number Sequence Stage, Tacitly Nested Number Sequence Stage, and Explicitly Nested Number Sequence Stage. The meaning of this theory is added in the last part of this paper. this paper.

• The Mathematical Education
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• v.51 no.4
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• pp.337-349
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• 2012

The purpose of this study is to survey and analyze conception on creativity carried out from elementary school teachers in Seoul and Gyeonggi-do area. As results, first, most of teachers replied divergent thinking, creative problem solving, and new creation as general creativity and mathematical creativity. Secondly, they showed that thinking process would be related to transfer and cognition in terms of mathematical creativity factors. Lastly, there are significant differences among groups according to gender, teaching career, and age, even though most teachers expressed sympathy for need of creativity education in mathematics education.

• The Mathematical Education
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• v.48 no.3
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• pp.213-234
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• 2009

College students have a diverse educational background with the recent multiplicity in university admissions standards and procedures. As a result, their mathematical preparation and performance varies widely. Teaching calculus to such a diverse student group is a demanding task. Differentiated curriculum has been conducted for the university calculus course in Yonsei university for the past five years. A case study on the differentiated curriculum in Yonsei university is presented for the curriculum improvement. With its ideal purpose, the differentiated curriculum has created issues and problems in practice. As an alternative to the ideal differentiated curriculum, this study shows that a computer-based approach using a numerical software could give aids to overcoming the difficulty of inadequately prepared students in the learning process while mathematically sophisticated students could keep interested in the course. This study also presents the useful topics in calculus that can be implemented for computer-based calculus education and provides guidelines for the effective usage.

• Journal of the Korean earth science society
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• v.40 no.4
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• pp.340-352
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• 2019

The purpose of science education is scientific literacy, which is extended in its meaning in the $21^{st}$ century. Students must be equipped with the skills necessary to solve problems from the community beyond obtaining the knowledge from curiosity, which is called 'computational thinking'. In this paper, the authors tried to define computational thinking in science education from the view of scientific literacy in the $21^{st}$ century; (1) computational thinking is an explicit skill shown in the two steps of abstracting the problems and automating solutions, (2) computational thinking consists of concrete components and practices which are observable and measurable, (3) computational thinking is a catalyst for STEAM (Science, Technology, Engineering, Arts, and Mathematics) education, and (4) computational thinking is a cognitive process to be learned. More implication about the necessity of including computational thinking and its emphasis in implementing in science teaching and learning for the envisioned scientific literacy is added.

• Research in Mathematical Education
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• v.22 no.2
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• pp.135-152
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• 2019

This conceptual paper proposes a conceptualization regarding teacher candidates' experiences as learners during instructional activities implemented by teacher educators in practice-based teacher education programs. We argue that the current learning cycle framework for teacher candidates to engage in core teaching practices does not fully address teacher candidates' own learning experiences as learners. To provide a rationale for our proposal, we examine the current conceptualization of learning to enact core practices and suggest the need for integrating teacher candidates' experiences into the current conceptualization. We also draw on research on figured worlds as an effort to conceptualize teacher candidates' experiences coming from multiple figured world. We present some examples from our own mathematics methods courses to illustrate how this newly proposed framework can be used in practice and share remaining questions for future research.

• Research in Mathematical Education
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• v.25 no.2
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• pp.117-133
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• 2022

Examining ways to interact with students in small groups is an important topic for researchers to understand. Existing studies pertaining to the topic have not shed light on knowing why teachers interact with students in small groups the way they do. Given that teacher identity shapes teaching practices, this study explores how teacher identity shapes teachers' interaction with students in small groups. Working with two beginning teachers, I conducted four interviews to collect the data related to reasons behind their interactions with students in small groups in the interview. I analyzed the interview transcripts using a thematic analysis. I found that one teacher's teacher identity was related to her personal experiences as a child and a learner and another teacher's teacher identity was related to her view of teachers' roles as a teacher. I provide discussion and implications of this study.

• Research in Mathematical Education
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• v.25 no.3
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• pp.189-199
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• 2022

A debate about the importance of geometry courses has existed for years. The questions have revolved around its significance to students and teachers alike. This study looks to determine whether a teacher taking a college-level geometry course has a positive relationship with their students' algebraic reasoning skills. Using data from the High School Longitudinal Study 2009 (HSLS09: Ingels et al., 2011, 2014), it was determined that 9th-grade teachers who took a college-level geometry course had a significant positive association with their students' 11th-grade algebraic reasoning scores. This study suggests that teachers who take geometry during college have a lasting effect on their students. The implications of these findings and how they may affect higher education are discussed.

• Journal of Engineering Education Research
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• v.24 no.4
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• pp.41-51
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• 2021

This paper is to study whether cooperative learning applying group games becomes a teaching method that can increase interest and participation in class in calculus and the effect of the number of students. To increase interest and participation in class, the researcher conducted cooperative learning by applying smartphones and various game tools to group games. The consequences of the study confirmed that students' interest and participation in the class increased regardless of their mathematics basics. Therefore, it is expected that the calculus which is difficult for students to understand will be more easily approached by cooperative learning applying group games in the future.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.2
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• pp.291-308
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• 2017

In 1946, many native korean mathematical terms are coined newly by the ministry of education of USAMGIK(the United States Army Military Government in Korea) through referring to the opinions of various circles. In native korean mathematical terms created at the time, many of them are coined, either by using native korean words corresponding to the meaning of chines characters, or by abbreviating newly coined native korean mathematical terms. However, in less than 20 years, about half of native korean mathematical terms made in 1946~1947 has been went back to chines character mathematical terms, and most of those chines character mathematical terms has been used up to now from then. Although, in the teaching and learning of mathematics, the discomfort of chinese characters mathematical terms is pointed out and it is claimed that the use of native korean mathematical terms is helpful, it is not everything to hurry to use native korean mathematical terms. Attempts to convert chinese characters mathematical terms into native korean mathematical terms should be prudent. When a certain native korean mathematical term is used, if it must be used only because it is a native korean mathematical term, then the term has no choice but to fail. In this paper, we propose the following three implications as conclusions for the successful use of native korean mathematical terms in this viewpoint. First, attempts to coin native korean mathematical terms should be continued. Second, it is necessary to identify the survival power of well-preserved native korean mathematical terms. Third, it is necessary to identify the failure factors of native korean mathematical terms which does not survive today.

• Communications of Mathematical Education
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• v.21 no.1 s.29
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• pp.107-124
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• 2007

This study, at this point where a national attention is being focused on the special education for brilliant children after the enactment of the law regarding the promotion of the special education for brilliant children and the establishments of various policies on the education of excellence, investigated and analyzed the perceptions of students who are participating in the program for elementary school brilliant children on mathematics. First, the understanding of the area of the definition of brilliant students by the teachers with the institutions for the special education for brilliant children that use the program for elementary school brilliant children on mathematics should be increased. Second, the professionality of the teachers should be secured for an efficient operation of the program for elementary school brilliant children on mathematics. Third, the students who participated in the special education lot brilliant children tended to be self-initiative in participating in the program but the self-initiative aspect was insufficient in the lessons. Fourth, the students who are participating in the special education for brilliant children have positive opinions on the contents and methods of the lessons. Fifth, as for the materials for brilliant children's learning supplied to the program for elementary school brilliant children on mathematics, the brilliant students perceive them as the teaching materials for brilliant children. In this thesis, the program for special education for brilliant children was assessed and analyzed through the questionnaires to the teachers and students participating in the program. More abundant brilliant children programs should be developed so that the programs suitable the brilliant students can be provided to the students and the studies to improve the programs with regards to the effectiveness etc should be continually done from now on.