• Education of Primary School Mathematics
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• v.27 no.1
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• pp.1-18
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• 2024

Teachers' ability to notice is a crucial indicator of their instructional expertise. Despite the significance of this ability, research in mathematics teacher education has predominantly focused on the noticing of preservice teachers, with limited exploration into the noticing abilities of experienced in-service teachers. This study addresses this gap by examining the noticing characteristics of in-service elementary teachers actively developing their competency in elementary mathematics education. For this purpose, 23 elementary school teachers were asked to complete an analysis sheet while viewing the mathematics lesson video depicting on the concept of (fraction)÷(natural number), allowing us to scrutinize their attending, interpreting, and responding skills in detail. The study's results revealed that teachers demonstrated a tendency to attend mathematically significant aspects related to the teaching of fraction division. They interpreted the observed phenomena through the lens of fraction division's instructional principles, proposing specific pedagogical alternatives. These findings offer valuable insights for mathematics teacher education research.

• The Mathematical Education
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• v.61 no.2
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• pp.339-357
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• 2022

This study explores pre-service secondary mathematics teachers (PSTs)' noticing competency. 17 PSTs participated in this study as a part of the mathematics teaching method class. Individual PST's essays regarding the question 'what effective mathematics teaching would be?' that they discussed and wrote at the beginning of the course were collected as the first data. PSTs' written analysis of an expert teacher's teaching video, colleague PSTs' demo-teaching video, and own demo-teaching video were also collected and analyzed. Findings showed that most PSTs' noticing level improved as the class progressed and showed a pattern of focusing on each key aspect in terms of the Teaching for Robust Understanding of Mathematics (TRU Math) framework, but their reasoning strategies were somewhat varied. This suggests that the TRU Math framework can support PSTs to improve the competency of 'what to attend' among the noticing components. In addition, the instructional reasoning strategies imply that PSTs' noticing reasoning strategy was mostly related to their interpretation of noticing components, which should be also emphasized in the teacher education program.

• Journal of Industrial Convergence
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• v.17 no.4
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• pp.103-115
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• 2019

Background: This study was conducted to identify the experiences of nursing students students who participated in jigsaw cooperative learning in medical terminology classes. Methods: Data were collected through in-depth individual interviews and analyzed using the Colaizzi phenomenological analysis methodology. Results: Six categories emerged through experiences of jigsaw cooperative learning of nursing students. The specific categories are 'two contrasting emotions that exist under consciousness', 'progression towards self-directed learning', 'resurrection of community spirit', 'facing the growing self', 'realistic limits', and 'co-operation that has risen above consciousness'. Conclusion: Jigsaw cooperative learning enhances nursing students' self-directed learning and community consciousness. It is a very useful teaching and learning method that encourages growth through community spirit and cooperation. In the future, we propose a study using jigsaw-cooperative learning in various classes.

• Journal of The Korean Association For Science Education
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• v.18 no.4
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• pp.589-600
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• 1998

The present study tested the hypothesis that adolescent's prefrontal lobe growth plateau and spurt exists and that this plateau and spurt influence students' ability to reason scientifically and to learn theoretical science concepts. In theory, maturation of the prefrontal lobes during early adolescence allows for improvements in students' abilities to inhibit task-irrelevant information and coordinate task-relevant information, which along with both physical and social experience, influences scientific reasoning ability and the ability to reject scientific misconceptions and accept scientific conceptions. Two hundred six students ages 13 to 16 years enrolled in four Korean secondary schools were administered tests of prefrontal lobe functions, scientific reasoning, and theoretical concepts derived from kinetic-molecular theory. A series of 14 lessons designed to teach the concepts were then taught. The concepts test was then re-administered following instruction. As predicted among the 14-year-olds, performance on the measures of prefrontal lobe functions, scientific reasoning, and conceptual change remained similar or regressed. Performance then improved considerably among the 15 and 16-year-olds. Because so few of the present students were able to undergo this apparently necessary conceptual change, the value of introducing theoretical concepts to early adolescent is questioned.

• The Journal of Korean Academy of Sensory Integration
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• v.15 no.2
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• pp.80-92
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• 2017

Objective : The purpose of this study is to investigate the meaning of students' experience participating in the flipped learning based instruction in sensory integration, and to understand the demand and introspection of participants. Methods : This study used a phenomenological approach of qualitative study. The participants were 10 students in 3rd year of the occupational therapy program in K Univeristy. Data information was collected by one-to-one interview and analyzed through phenomenological research method. Results : Through the interview, 20 units of meaning, 8 central meanings, and 3 themes were drew. The information collected were analyzed into three themes; Learning Experiences in Online and Offline Courses, Request and Introspection of Learners on Flipped Learning. The result showed that online courses brought learners convenience and satisfaction with repeatable learning in every time and space the learner want. However, the learners appealed issues of communication and concentration due to the absence of face-to-face instruction by their instructor. For the offline courses, students showed interest in various practical classwork of sensory integration and changes in their attitude to actively engage in the practical classes. Conclusion : Flipped learning based instruction was effective for the sensory integration classes which require practice in terms of time securement and immersion in practice. The learners requested for adopting flipped learning based instruction to other subjects in occupational therapy curriculum, and introspected that they needed to actively engage in classes through the experience of flipped learning-based classes of sensory integration. The results of this study can be used as a basic resource when flipped learning classes are planned in occupational therapy education.

• Journal of the Korea Convergence Society
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• v.13 no.3
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• pp.239-253
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• 2022

The purpose of this study is to have college students who took 'University Character Education Using YouTube Videos', which was opened as a liberal arts course in college, directly produce UCC assignments with the theme of personality. Despite the recent paradigm shift in learner-centered education, teacher-centered education still hinders learners' motivation to participate in classes. To solve this problem, a learner-led UCC production process is necessary for the practice of effective learner-centered education. For this purpose, a phenomenological research method was applied. The research participants were 10 students, in-depth interview was used for data collection, and Colaizzi's research method was selected for data analysis. As a result of the analysis, 9 themes, 4 theme clusters, and 2 categories were derived. The results are as follows. First, they recognized that the UCC assignments were a field of maturity, such as practicing the right thoughts and actions, and re-establishing the concept of character. Second, they said that the UCC production process was an opportunity to increase their self-esteem. Third, they showed a more mature personality by recognizing that the UCC assignments became a chance to pay attention to others beyond themselves. Fourth, they had the greatest difficulty in selecting a topic while carrying out the UCC project, and they were experiencing the limitations of high-quality projects due to the technical immaturity of UCC production. Finally, this study was concluded by discussing the educational implications based on the results. These results provide a suggestion that more effective character education can be expected when tasks led by learners will be developed and an interactive arena where students can be shared are provided.

• Journal of Elementary Mathematics Education in Korea
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• v.24 no.1
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• pp.1-30
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• 2020

This study was carried out in order to identify the error types of statistical graphs for statistical literacy education. We analyze the meaning of using graphs in statistical problem solving, and identify categories, frequencies, and contexts as the components of statistical graphs. Error types of representing categories and frequencies make statistics consumers see incorrect distributions of data by subjective point of view of statistics producers and visual illusion. Error types of providing contexts hinder the interpretation of statistical information by concealing or twisting the contexts of data. Moreover, the findings show that tasks provide standardized frame already for drawing graphs in order to avoid errors and pay attention to the process of drawing the graph rather than statistical literacy for analyzing data. We suggest some implications about statistical literacy education, ethical problems, and knowledge for teaching to be considered when teaching the statistical graph in elementary mathematics classes.

• School Mathematics
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• v.18 no.3
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• pp.647-666
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• 2016

This study investigates pre-service teacher's understanding of the concept and representations of irrational numbers. We classified the representations of irrational numbers into six categories; non-fraction, decimal, symbolic, geometric, point on a number line, approximation representation. The results of this study are as follows. First, pre-service teachers couldn't relate non-fractional definition and incommensurability of irrational numbers. Secondly, we observed the centralization tendency on symbolic representation and the little attention to other representations. Thirdly, pre-service teachers had more difficulty moving between symbolic representation and point on a number line representation of ${\pi}$ than that of $\sqrt{5}$ We suggested the concept of irrational numbers should be learned in relation to various representations of irrational numbers.

• Journal of Educational Research in Mathematics
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• v.20 no.3
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• pp.305-322
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• 2010

The epistemological obstacles in the area learning of plane figure can be categorized into two types that is closely related to an attribute of measurement and is strongly connected with unit square. First, reasons for the obstacle related to an attribute of measurement are that 'area' is in conflict. with 'length' and the definition of 'plane figure' is not accordance with that of 'measurement'. Second, the causes of epistemological obstacles related to unit square are that unit square is not a basic unit to students and students have little understanding of the conception of the two dimensions. Thus, To overcome the obstacle related to an attribute of measurement, students must be able to distinguish between 'area' and 'length' through a variety of measurement activities. And, the definition of area needs to be redefined with the conception of measurement. Also, the textbook should make it possible to help students to induce the formula with the conception of 'array' and facilitate the application of formula in an integrated way. Meanwhile, To overcome obstacles related to unit square, authentic subject matter of real life and the various shapes of area need to be introduced in order for students to practice sufficient activities of each measure stage. Furthermore, teachers should seek for the pedagogical ways such as concrete manipulable activities to help them to grasp the continuous feature of the conception of area. Finally, it must be study on epistemological obstacles for good understanding. As present the cause and the teaching implication of epistemological obstacles through the research of epistemological obstacles, it must be solved.

• Koreanishche Zeitschrift fur Deutsche Sprachwissenschaft
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• v.7
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• pp.1-24
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• 2003

우리는 지금까지 독일어와 한국어 두 언어간의 오류분석을 논의해 왔다. 특히 언어유형학적인 측면에서 몇 가지 오류유형과 분석을 시도했다. 그 결과는 대체로 다음과 같이 요약될 수 있다. 독일어와 한국어가 서로 근본적으로 상반되는 언어현상과 더불어 약간의 공통성을 나타내며 일정한 유형을 나타낸다. 이는 두로 인간의 언어습득장치에 기인된 언어습득의 결정주의(Determinismus)에서 비롯될 것이다. 언어특성/문제의 체계성/규칙성 또는 일관성은 이를 반영한다. 거대한 언어자료 중에 극히 미미한 일부, 즉 언어최소량를 정복함으로써 그 효용성을 극대화할 수 있는 것은 매우 중요한 의미를 지닌다. 이를 연구 이용하는 경우에는 엄청난 효과와 가능성을 기대할 수 있을 것이다. (1) 독일어와 한국어의 학습 및 오류분석에서 가장 핵심적인 것은 언어유형학적으로 드러난 언어특성, 즉 전치성(독일어/영어)과 후치성(한국어)이다. 이를 토대로 형성된 대립적인 면과 공통적인 문제를 체계화하는 것이 역시 오류분석 문제의 관건이다. 또한 독일어가 아직 후치성 언어(한국어(TXV))에서 출발해서 전치성 언어(영어(SVX))로 발전/변화해 가는 과정, 즉 중간단계인 TVX에 머물고 있다는 사실이 중요한 의미를 지닌다. 즉 그들의 대극성과 유사성을 연결하는 실마리로 볼 수 있기 때문이다. (2) 일치(Kongruenz)/상관(Korrelation) 및 반복(Wiederholung) 현상, 그리고 격변화와 인칭변화 현상은 어순문제와 더불어 형태론적 문제를 통해 문법적인 확인수단으로 작용한다. 이들은 대부분 체계적/구조적으로 나타나기 때문에 학습자는 흔히 같은 유형에서 반복적으로 오류를 범하기 마련이다. 이를 극복하기 위해서 언어 유형학적 오류분석을 이해하고 또한 이를 통해 오류를 줄이거나 예방하는 학습이 필요하다. (3) 명사가 한정사구 안에서 성/수/격에 따라 변화하는 것과 동사가 동사구에서 주어의 인칭/수에 따라 인칭변화 하는 것은 우리 한국인에게는 아주 이색적인 현상이다. 이는 양면적인 수식구조에 대한 확인수단 및 원자가에 의한 강력한 형식위주 언어인 독일어와 전위적인 단일 수식구조와 부정형 동사를 특성으로 형성된 핵/최소문 언어간의 필연적인 적응관계 및 결과라고 볼 수 있다. 이 두 가지 유형 역시 언어특성에 따라 도식화/공식화 할 수 있다. (4) 괄호현상, 즉 으뜸머리(Hauptkopf)가 버금머리(Nebenkopf)와 분리하는 것은 우리 한국인에게는 아주 이색적인 언어현상이다. 한국어에는 머리의 이동이 없기 때문이다. 긴 구문에서 버금머리를 잊어버리거나 실수하는 것은 모든 괄호구문에서 예견되는 결과이다. 그러나 이는 정치성과 후치성 언어간의 전이 과정으로 이해될 수 있다. 으뜸머리가 원래의 자리를 박차고 소속 구/문의 앞자리로 도약한 것처럼 느껴지기 때문이다. (5) 전치 및 후치 수식이 유동적으로 작용하는 독일어는 전치 수식만으로 고정된 한국어보다 복잡하지만 균형적인 언어구조이다. 이러한 수식구조에서 한국인은 흔히 형태 및 어순에서, 그리고 번역에서 오류를 범하고 만다. (6) 그러나 가장 중요한 것은 아는 것을 제대로 이용하는 문제이다. 모국어/L2를 자유로이 말하고 쓸 때까지, 즉 언어습득에는 일체이 문법이나 도표/도식을 이용할 필요가 없다는 사실이다. 이는 17세기 서구의 이성주의 철학자들의 한결같은 경고이다. 오늘날 초고속 과학문명에서 더욱 빛을 발하는 것은 당연한 결과이다. 한 언어 속에 들어있는 문법체계를 익혀 가는 것이 곧 언어습득 과정이지만, 이를 달성하는 가능성 내지 첩경은 실제적인 언어자료와 체험이지 결코 문법이나 추상적인 개념적 접근이 아님을 웅변하고 있기 때문이다. 핵심적인 문제는 모국어교육에서도 최대 장점인 대화를 통한 언어연습/대화 기회를 최대한 보장하는 데 있다. 또한 언어간섭 현상을 조장하는 분위기를 막아야 할 것이다. 이러한 의미에서 교수법 개발이 외국어/L2 성공의 관건일 것이다. (7) 언어학습에서 오류를 극복하는 데는 일차적인 실제 상황에 부합하는 대화적인 연습, 그리고 효과적인 언어자료 접촉, 즉 독서와 모방이 중요하다. 이차적이고 직접적인 것은 통사(Syntax) 및 형태론(Morphologie)를 익힐 수 있는 말/문을 끊임없이 익히는 일이다. 이것이 또한 언어최소량을 충족시켜 언어습득에 이르는 첩경이다. 자연 생태적인 모국어 학습 또는 조정 및 제도적인 언어학습에서도 실제상황에 어긋나는 문법적인 체계에 얽매이는 도식 및 도표 위주의 텟스트는 일시적인 기대일 뿐이다. 인간의 언어습득장치를 이해하지 못한 결과이기 때문이다. 문법적인 개념위주 접근은 상당한 설명이 필요해서 절박한 자료와 체험까지 앗아가기 마련이다. 더구나 이를 위해 수준을 무시하고 모국어로 일관하여 벙어리와 문맹을 자초하는 것은 참으로 어리석은 일이다. 지식 정보화 시대 및 세계화 시대에는 무엇보다도 교육 및 언어정책이 국가 발전의 원동력이다. 특히 영어를 비롯한 외국어 학습능력과 학습방법은 매우 중요하다. 학습자에게 말하고 쓰는 기본 능력을 보장하는 것이 급선무이다. 이를 위한 작업의 하나가 바로 언어간의 오류분석일 것이다. 언어의 습득과 활용이 체계적이듯이 오류분석 역시 상당히 체계적이다. 그래서 인간의 언어습득과 언어습득장치를 두고 결정론(Determinismus)이 지배적이다. 이러한 의미에서 언어습득의 3대 요소, 즉 언어습득장치를 구비한 인간으로 태어나고, 해당 언어를 통한 일관된 언어체험/학습으로 언어최소량을 충족해야 한 언어를 정복할 수 있다는 것은 결정적인 사실이다. 학생고객에게 다가서는 책임교육으로 교육개방에 대비하는 일 역시 시대적인 상황이요 또한 결정적인 단계임엔 틀림이 없을 것이다.