• The Mathematical Education
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• v.61 no.3
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• pp.375-396
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• 2022

With the importance for teachers of understanding students' strategies and providing appropriate feedback to their students, the purpose of this study is to analyze how prospective elementary teachers interpret and respond students' strategies for fraction tasks with number lines. The findings from analysis of 64 prospective teachers' responses were as follow. First, the prospective teachers in general could identify the students' understanding and errors based on their strategies, however, some prospective teachers overgeneralized students' mathematical thinking at a superficial level. Second, the prospective teachers could pose diverse tasks or activities for revising the students' errors, while some prospective teachers tried to correct students' errors by using only the area models. Based on these results, this study suggests for prospective teachers to have opportunities to understand elementary students' diverse problem strategies and to consider teaching methods with different fraction models.

• School Mathematics
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• v.8 no.3
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• pp.341-364
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• 2006

This paper analyzed contents related to problem solving in the 7th elementary mathematics curriculum in conjunction with main changes in the next curriculum under discussion. This paper then provided detailed analyses of textbooks and workbooks in terms of principal contents, problem solving strategies, content areas, and problem types in order to look closely at how such instructional materials would put the vision of the curriculum into action. It is expected that many issues and suggestions stemming from the analyses will serve basic information to develop next curriculum and its concomitant instructional materials in a way to fostering students' problem solving ability.

• Education of Primary School Mathematics
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• v.23 no.2
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• pp.73-85
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• 2020

The purpose of this study was to examine the influence of the auxiliary questions of word problems presented to students on their problem solving-strategies and mathematical thinking and to discuss the educational implications of the results. As a result of making an analysis, problems that included auxiliary questions to give information on workable problem-solving strategies made it more possible for students of different levels to do relatively equal mathematical thinking than problems that didn't by inducing them to adopt efficient problem-solving strategies. And they were helpful for the students in the middle and lower tiers to find a clue for problem solving without giving up. But it's unclear whether the problems that provided possible strategies through the auxiliary questions stirred up the analogical thinking of the students. In addition, due to the impact of the problems provided, some students failed to adopt a strategy that they could have come up with on their own. On the contrary, when the students solved word problems that just offered basic recommendation by minimizing auxiliary questions, the upper-tiered students could devise various strategies, but in the case of the students in the middle and lower tiers, those who gave up easily or who couldn't find an answer were relatively larger in number.

• Journal of the Korean Chemical Society
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• v.55 no.5
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• pp.857-874
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• 2011

The purposes of this study were to develop teaching strategy enhancing creative problem solving skills and to examine the instructional influences on studints' creative thinking skills, critical thinking skills, creative personality and academic self-regulation. In this study, a model using inter-disciplinary analogies(PDCA model) was designed and applied to the existing 'Teaching model for the enhancement of the creative problem solving skills'. And it was implemented to preservice science teachers for the one semester. Results indicated that the experimental group presented statistically meaningful improvement in creative thinking skills, especially in the originality of identifying a problem, making hypothesis, and controlling variables (p<.05). In addition, the strategy contributed to improving critical thinking skills, especially in inquiry process of recognizing problems, making hypothesis, interpreting and transforming of data (p<.05). This strategy also helped students' academic self-regulation (p<.05). But there was no significant improvement in creative personality(p<.05).

• Communications of Mathematical Education
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• v.16
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• pp.245-267
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• 2003

수학적 문제 해결은 수학 교육에서 중요한 이슈이고 문제 해결 전략으로서의 유추를 주제로 본 연구에서는 중학생들을 대상으로 단순히 유사한 문제를 제시하는 것만으로 문제 해결에 성공을 할 수 있는지, 문제 해결에 성공을 할 수 없다면 중학생들에게 어떤 과정을 제시해야만 문제 해결 과정에서 유추를 사용하여 문제를 해결 할 수 있는지를 알아보고자 한다. 이를 위하여 본 연구에서는 유추에 의한 문제 해결과정을 표상 형성, 인출, 사상, 적합성, 스키마 형성의 과정으로 보고, 이러한 과정 중 사상 단계에서 사상 과정의 명료화를 중심으로 학생들의 유추 추론에 의한 문제해결 과정을 탐구하였다. 연구 결과, 유추 추론 과정에서 근거 문제만을 제시하는 것은 목표 문제를 해결하는데 유추 추론의 성공을 보장한다고 할 수 없었으며, 근거 문제가 제시되었는데도 목표 문제를 해결하지 못하는 경우 사상 과정을 명료화하자 목표 문제를 성공적으로 해결하였다. 또한 학생들은 목표 문제의 성공 이후 유사한 새로운 목표문제를 푸는데 성공하였다.

• Journal of Convergence for Information Technology
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• v.11 no.3
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• pp.147-158
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• 2021

The purpose of this study is to perform of composition of young children teacher's verbal interactions and problem solving strategies by semantic network analysis. The data was collected the narrative of teacher in young children's environmental education. Additionally, this study used categories as a unit of analysis in order to find out structural characteristics. The results of this study were as follows. First, teacher's verbal interactions, providing information was the most cental, high influence appeared along with integration. Second, teacher's problem solving strategies, suggestion was the most cental, high influence appeared along with divergent thinking. Third, teacher's verbal interactions and problem solving strategies, suggestion was the most cental, providing information and divergent thinking appeared a strong connection. Besides, suggestion and decision were mediated by concern of problem, assessment appeared connection. Through these results from this study it is suggested that in order to interact and support problem solving process in young children's environmental education, teacher education to respond and understand contextually with young children is necessary.

• Journal of KIISE
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• v.44 no.1
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• pp.63-70
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• 2017

This paper considers the problem of combining multiple strategies for solving sleeping bandit problems with stochastic rewards and stochastic availability. It also proposes an algorithm, called sleepComb(${\Phi}$), the idea of which is to select an appropriate strategy for each time step based on ${\epsilon}_t$-probabilistic switching. ${\epsilon}_t$-probabilistic switching is used in a well-known parameter-based heuristic ${\epsilon}_t$-greedy strategy. The algorithm also converges to the "best" strategy properly defined on the sleeping bandit problem. In the experimental results, it is shown that sleepComb(${\Phi}$) has convergence, and it converges to the "best" strategy rapidly compared to other combining algorithms. Also, we can see that it chooses the "best" strategy more frequently.

• Communications of Mathematical Education
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• v.17
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• pp.159-168
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• 2003

본 연구는 창의적 수학문제해결력의 검사도구의 요소들을 제시하고 있다. 수학적 창의성을 과정적 관점에서 출발하여 수학적 창의성을 창의적 수학문제제해결과 동일시하고 그에 따른 검사도구의 기본요소들을 Polya의 문제해결기법에서 나타나는 메타인지적 전략과 수학적 마인드를 검사하는 요소들로 구성하였다.

• Proceedings of the Korea Database Society Conference
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• 2001.11a
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• pp.536-554
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• 2001

인터넷 이용자의 증가와 멀티미디어 등 대용량 콘텐츠에 대한 수요의 증가로 인해 데이터 트래픽은 기하 급수적으로 늘어나는 데 비해 네트웍 성능향상에 대한 투자는 이에 미치지 못함으로서 결과적으로 인터넷은 트래픽의 병목현상, 즉 정체현상이 발생하게 되었으며 점차 그 정도가 심해지고 있다. 이 문제를 해결하기 위해 제안하는 방안이 바로 전략적 CDN(Content Delivery Network) 이다. 현실적으로, 본 연구는 물리적인 망 증설만으로는 트래픽 체증 문제를 해결하기는 어려우므로 주요 ISP 네트웍에 전략적 캐시서버를 설치하여 CP의 콘텐츠를 각 ISP 네트웍마다 분산하여 저장하고 이용자의 요청 시 이용자의 인터넷 회선이 물려 있는 ISP 네트웍에서 바로 콘텐츠를 전송하여 데이터 손실과 속도 저하 등의 문제를 해결하는 CDN의 구성과 그 효과를 실증적으로 밝혔다.

• Journal of The Korean Association For Science Education
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• v.38 no.5
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• pp.681-691
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• 2018

The purpose of this study is to investigate the impacts of Collaborative Problem solving for Character competency (CoProC) strategy on the practical character competency and collaborative problem solving competency in middle school. For this study, 49 seventh grade students (two classes) were selected for use applying the CoProC strategy (CoProC group) while 46 students (two classes) were used for traditional lecture and experimental class (comparative group). In the result, CoProC group showed a statistically significant result in practical character competency than the comparative group. In the sub items of the competency, the CoProC group showed result statistically significant in cooperation, communication, responsibility, and positive self-understanding than the comparative group. Analysis of the effect size of students' practical character competency showed that the CoProC group results showed more effective than the comparative group in terms of care, cooperation, communication, honesty, responsibility, positive self-understanding, and self-regulation. In addition, we investigated the effect of the CoProC strategy on collaborative problem solving competency. As a result, it showed a large effect in the total score of collaborative problem solving competency. Among the sub items of the competency, 'exploration and understanding of members' showed a small size of effect and 'Establishing and maintaining team organization' showed a medium size of effect. 'Communication' and 'self-reflection' showed a large effect. CoProC strategy embedded in Science subject could improve students' collaborative problem solving competency through the process of scientific communication in the scientific inquiry process.