• The Mathematical Education
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• v.59 no.3
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• pp.271-294
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• 2020

The purpose of this study was to explore the possibility of digital simulation by which pre-service teachers (PSTs) can approximate the core teaching practice of eliciting student thinking. This study examined PSTs' questions to elicit student thinking, their use of "pause" session and peer feedback, and their reflections on doing a digital simulation. We analyzed a two-hour digital simulation session with 13 PSTs who enrolled in the elementary mathematics methods course. The results showed that PSTs shifted their general questions to more content-specific questions throughout the simulation and made a quick transition to comparing students' strategies. The number of lead PST-initiated "pause" ranged one to four times for various reasons. Their peer-coaches did not voluntarily "pause" the simulation session but actively shared what they noticed from the student work samples and suggested the next teaching moves. Without utilizing the pause session, the dramatic improvement of questioning was not observed. Even though the PSTs felt overwhelmed with interacting with the student-avatars in real-time, they highlighted the benefits of simulations, appreciated the opportunity to learn the core teaching practice, and viewed this digital simulation as "real" and "authentic" experience. The findings of this study provide implications for re-designing a practice-based teacher education program.

• Journal of Elementary Mathematics Education in Korea
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• v.24 no.1
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• pp.89-108
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• 2020

Since arithmetic is the foundation of school mathematics, it needs to be taught meaningfully in the direction of improving arithmetical thinking levels of students beyond the fluency of computing skills. Therefore, in this study, the arithmetical thinking levels of 100 students in 5th grade were analyzed by applying the arithmetical thinking level test. As a result, 82 students were at 1st level and 15 students were at 2nd level of the arithmetical thinking. I analyzed the characteristics of arithmetical thinking and types of errors and misconceptions made by the students, and derived some didactical implications for arithmetic education in elementary school mathematics.

• Education of Primary School Mathematics
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• v.19 no.3
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• pp.223-247
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• 2016

Given the importance of developing algebraic thinking from early grades, this study investigated an overall performance and main characteristics of algebraic thinking from a total of 197 third grade students. The national elementary mathematics curriculum in Korea does not emphasize directly essential elements of algebraic thinking but indicates indirectly some of them. This study compared our students' performance related to algebraic thinking with results of Blanton et al. (2015) which reported considerable progress of algebraic thinking by emphasizing it through a regular curriculum. The results of this study showed that Korean students solved many items correctly as compatible to Blanton et al. (2015). However, our students tended to use 'computational' strategies rather than 'structural' ones in the process of solving items related to equation. When it comes to making algebraic expressions, they tended to assign a particular value to the unknown quantity followed by the equal sign. This paper is expected to explore the algebraic thinking by elementary school students and to provide implications of how to promote students' algebraic thinking.

• Proceedings of The KACE
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• 2017.08a
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• pp.31-34
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• 2017

현재 4차 산업혁명이 사회에 던지는 화두는 다양하다. 첫째, 소프트웨어 중심 사회이다. 빅 데이터, 인공지능 기술 등이 다양한 분야와 결합하고 그 중심에는 소프트웨어가 있다. 앞으로 소프트웨어 교육이 필수적이고 강화되어야 할 이유다. 둘째, 생산과 소비가 결합된다는 것이다. 즉, 더 이상 소비자가 수동적인 소비자로만 남지 않으며, 획일화된 제품과 서비스에 흥미를 느끼지 않고, 소비자가 직접 자신이 구매할 제품 생산과 판매에 관여하는 '프로슈머(prosumer)' 필요한 물건을 직접 만드는 D.I.Y.(Do It Yourself), 3D 프린팅 등이 새로운 소비 방식을 대표한다[3]. 이에 메이커 운동이 떠오르고 있고, 메이커에 대한 관심이 커지고 있다. 우리나라는 2015 개정 교육과정을 통해 소프트웨어 교육을 강화했다. 초등학교에서는 5~6학년 실과 교과의 정보 관련 단원이 ICT활용 중심에서 소프트웨어 기초 소양 내용 중심으로 개편되었다[1]. 아직 교육과정이 시행되기 전이지만 선도학교나 연구학교를 통해 진행된 소프트웨어 교육을 보면 기능을 익히는 프로그래밍 교육이 주류를 이루고 있고, 이래서는 다양하고 창의적인 결과물을 도출할 수 없다. 이를 해결하기 위해서는 디자인 사고를 도입할 수 있다. 디자인 사고는 인간을 관찰하고 공감하여 소비자를 이해한 뒤, 다양한 대안을 찾는 확산적 사고와 주어진 상황에 최선의 방법을 찾는 수렴적 사고의 반복을 통하여 혁신적 결과물을 도출하는 창의적 문제 해결 방법 중 하나이다[5]. 따라서 본 연구에서는 초등학생들의 소프트웨어 교육을 위한 디자인 사고 기반 메이커 교육 프로그램을 개발하고자 한다.

• Journal of the Korean earth science society
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• v.37 no.3
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• pp.173-185
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• 2016

The purpose of this study is to investigate the effects of systems thinking on high school students' self-regulatory efficacy and self-confidence that constitute science self-efficacy. We set self-regulatory efficacy as a factor of students' systems thinking affects their self-confidence on science through self-regulatory efficacy. A total of 210 students were sampled from general high schools and 188 valid cases were analyzed. The instrument has 39 items that consist of 20 items measuring systems thinking and 19 items of science self-efficacy. The result of the exploratory factor analysis indicated that 20 items for systems thinking, 8 items for self-regulatory efficacy, 4 items for self-confidence are reasonable. Testing the goodness of fit of a structural equation model, it turn out to be appropriate (${\chi}^2$=344.498, df=242, TLI= .921, RMSEA= .044) using 24 items (mental model, personal mastery, systems analysis, self-regulatory efficacy, and self-confidence were constructed). In addition, the mental model, which is one factor of systems thinking, is mediated by self-regulatory efficacy that affects self-confidence directly and/or indirectly. The results suggest that systems thinking affects science self-efficacy directly and indirectly. Utilizing systems thinking in science education can produce a theoretical basis in improving students' confidence and self-efficacy about science.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.1
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• pp.165-184
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• 2013

In order to utilize Sphinx Puzzle in shape education or deductive reasoning, a lesson employing Dienes' six-stage theory of learning mathematics was structured to be applied to students of 6th grade of elementary school. 4 students of 6th grade of elementary school, the researcher's current workplace, were selected as subjects. The academic achievement level of 4 subjects range across top to medium, who are generally enthusiastic and hardworking in learning activities. During the 3 lessons, the researcher played role as the guide and observer, recorded observation, collected activity sheet written by subjects, presentation materials, essays on the experience, interview data, and analyzed them to the detail. A task of finding every possible triangle out of pieces of Sphinx Puzzle was given, and until 6 steps of formalization was set, students' attitude to find a better way of mathematical deduction, especially that of operational thinking and deductive thinking, was carefully observed and analyzed.

• Journal of Educational Research in Mathematics
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• v.26 no.4
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• pp.769-789
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• 2016

Pattern activities are useful to develop functional thinking of young students, but there has been lack of research on how to teach patterns. This study explored teaching methods of geometric patterns for developing functional thinking of elementary school students, and then analyzed the lessons in which such methods were implemented. For this, three classrooms of fourth grades in elementary schools were selected and three teachers taught geometric patterns on the basis of the same lesson plan. The lessons emphasized noticing the commonality of a given pattern, expanding the noti ce for the commonality, and representing the commonality. The results of this study showed that experience of analyzing the structure of a geometric pattern had a significant impact on how the fourth graders reasoned about the generalized rules of the given pattern and represented them in various methods. This paper closes with several implications to teach geometric patterns in a way to foster functional thinking.

• Education of Primary School Mathematics
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• v.26 no.2
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• pp.99-113
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• 2023

In this study, I explored the possibility of using ChatGPT math education. For this purpose, students' problem-solving outputs and conversation data between pre-service teachers and a student were selected as an analysis case. A case was analyzed using ChatGPT and compared with the results of mathematics education experts. The results that ChatGPT analyzed students' problem-solving strategies and mathematical thinking skills were similar to those of math education experts. ChatGPT was able to analyze teacher questions with evaluation criteria, and the results were similar to those of math education experts. ChatGPT could also respond with mathematical theory as a source of evaluation criteria. These results demonstrate the potential of ChatGPT to analyze students' thinking and teachers' practice in mathematics education. However, there are limitations in properly applying the evaluation criteria or providing inaccurate information, so the further review of the derived information is required.

• The Journal of Korean Association of Computer Education
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• v.18 no.3
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• pp.1-14
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• 2015

The aim of this paper is to explore and understand the gifted student's characteristics such as NetLogo programming patterns, attitudes, his/her interest in problems solving. Based on transcripts and coding video frames, we explored the meaningful scenes to come up with thinking patterns, NetLogo programming patterns, attitudes, behaviors on tasks such as drawing regular starlike shapes. This case study contrasts with two other students revealing their unique characteristics both in computational thinking patterns and coding activities. The participant reveals his own ways of finding a clue and elaborating it further for coming up with concise NetLogo coding. This paper provides cross-case discussion and future research direction on how to improve gifted education in terms of problem solving in creative ways.

• Journal of the Korean earth science society
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• v.45 no.2
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• pp.157-171
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• 2024

The purposes of this study were: (1) to revalidate the revised Systems Thinking Measuring Instrument (Re_STMI) reported by Lee et al. (2024) among Vietnamese high school students and (2) to investigate the differences in systems thinking abilities between Korean and Vietnamese high school students. To achieve this, data from 234 Vietnamese high school students who responded to translated Re_STMI consisting of 20 items and an Scale consisting of 20 items were used. Validity analysis was conducted through item response analysis (Item Reliability, Item Map, Infit and Outfit MNSQ, DIF between male and female) and exploratory factor analysis (principal axis factor analysis using Promax). Furthermore, structural equation modeling was employed with data from 475 Korean high school students to verify the latent mean analysis. The results were as follows: First, in the item response analysis of the 20 translated Re_STMI items in Vietnamese, the Item Reliability was .97, and the Infit MNSQ ranged from .67 to 1.38. The results from the Item Map and DIF analysis align with previous findings. In the exploratory factor analysis, all items were loaded onto intended sub-factors, with sub-factor reliabilities ranging from .662 to .833 and total reliability at .876. Confirmatory factor analysis for latent mean analysis between Korean and Vietnamese students yielded acceptable model fit indices (χ²/df: 2.830, CFI: .931, TLI: .918, SRMR: .043, RMSEA: .051). Lastly, the latent mean analysis between Korean and Vietnamese students revealed a small effect size in systems analysis, mental models, team learning, and shared vision factors, whereas a medium effect size was observed in personal mastery factors, with Vietnamese high school students showing significantly higher results in systems thinking. This study confirmed the reliability and validity of the Re_STMI items. Furthermore, international comparative studies on systems thinking using Re_STMI translated into Vietnamese, English, and other languages are warranted in the context of students' systems thinking analysis.