• School Mathematics
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• v.8 no.3
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• pp.265-290
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• 2006

The purpose of this study is to search an effective teaching & learning program by examining how much does Excel affect on problem solving of linear function. This study was based on qualitative case study. Teaching experiment was performed for seven periods with five students in 8th graders. Pre and posts tests were attempted to analyze the changes of student's ability on problem solving of linear function. The analysis of tests were performed in category with correct process-object perspective, near process-object perspective, incorrect process-object perspective. According to this study, the subjects showed an improvement on problem solving perspective of linear function. This meant that lessons using Excel had influenced on the problem solving of linear function. We noticed that exploring the learning environment with Excel could supplement paper-and-pencil environment. We believed that Excel with an intuitive dynamic and explorative skills can play a role in scaffolding to support problem solving of linear function.

• Communications of Mathematical Education
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• v.23 no.3
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• pp.545-562
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• 2009

This study is trying to analyze characteristics of mathematical thinking processes of the mathematical gifted students in an objective and a systematic way, by using "Protocol Analysis Method"and "Problem Behavior Graph" which is suggested by Newell and Simon as a qualitative analysis. In this study, four middle school students with high achievement in math were selected as subjects-two students for mathematical gifted group and the other two for control group also with high scores in math. The thinking characteristics of the four subjects, shown in the course of solving problems, were elicited, analyzed and compared, through the use of the creative test questionnaires which were supposed to clearly reveal the characteristics of mathematical gifted students' thinking processes. The results showed that there were several differences between the two groups-the mathematical gifted student group and their control group in their mathematical talents. From these case studies, we could say that it is significant to find out the characteristics of mathematical thinking processes of the mathematical gifted students in a more scientific way, in the sense that this result can be very useful to provide them with the chances to get more proper education by making clear the nature of thinking processes of the mathematical gifted students.

• Journal of The Korean Association For Science Education
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• v.37 no.3
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• pp.523-537
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• 2017

The purpose of this study is to investigate the features of elementary students' intuitive thinking emerged during problem solving activities as it related to thermal phenomena, focusing on when intuitive thinking appears and how it is related to logical thinking. For this, we presented a problem related to thermal phenomena to nine 5th-grade students, and examined how students' thinking emerged in the activities. We conducted clinical interviews to investigate the thinking process of students. The results of this study are as follows. First, students made their own solutions and justified it later during the emergence process of intuitive thinking. It was also found that students connected concrete materials and abstract concepts intuitively. They solved the problem by making predictions even when information is insufficient. Second, it was shown that intuitive thinking can emerge through the intended strategies such as drawing a mental image, thinking from a different perspective, and integrating methods. These results, which are related to the students' intuitive thinking has received little attention and will be the basis for helping students in the context of discovery of their problem solving activities.

• Journal of Elementary Mathematics Education in Korea
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• v.1 no.1
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• pp.1-16
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• 1997

Children should have opportunities to experience problem solving individually with strategies for developing their problem solving abilities. To make an instructional design for individual teaming, problem solving activities were classified into categories like individual activities, individual activities within a group, and team teaching. A flow of teaching and teaming process was designed before, and concrete and semi-concrete materials were used in an experimental teaching, which was analysed in this research.

• Journal of Engineering Education Research
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• v.8 no.1
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• pp.99-112
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• 2005

Problem-Based Learning is focused, experiential learning organized around the investigation and resolution of messy, real-world problem. It is both a curriculum organizer and instructional strategy, two complementary processes. The PBL model developed in this study was composed the two components of Problem Design(curriculum organizer) and Problem Implementation(instructional strategy). The basic process of Problem Implementation Model were composed the 8 steps ; 1) the identification of problem, 2) the specification of problem, 3) the exploration and generation for solution, 4) the selecting of best idea, 5) the specific planning of best idea, 6) the implementation and realization, 7) the evaluation, 8) the applying and reflection.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 1997.04a
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• pp.19-32
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• 1997

소음진동의 문제해결과 연구개발은 산업현장에서 소음 진동 공학자들이 담당하여할 과제로서 별개의 과제로 양립하는 동시에 상호보완되어야 할 기능도 가지고 있다. 이를 위하여 현장문제는 해결 즉시 해결과정의 정식화 및 해석이 수행되어야 차후 유사한 문제 발생시 수월하게 해결할 수 있는 능력이 배양된다. 제어장치나 해석 S/W는 중공업 분야의 다양한 생산 제품에 적절히 이용하기 위해 기존 도구의 응용보다 자체개발을 지향하여야 한다. 개발과정에서 부수적으로 계측 및 해석기술이 향상되며 축적된 기술은 현장문제 해결시 귀중한 도구가 될 수 있기 때문이다. 이 과정은 마치 처음 단순 해석, 계측 단계에서 실험, 개발로 발전한 후 다시 복잡한 해석, 계측, 실험 및 개발에 이르는 단계적 발전 방향과도 같다고 생각된다.

• The Mathematical Education
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• v.61 no.2
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• pp.273-286
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• 2022

The purpose of this study is to analyze the teacher's discourse structure in the process of solving mathematics problems based on the communication between teachers and students. To achieve this goal, we observed a semester class by a teacher with experience who practiced a teaching method that creates mathematical meanings based on students' participation in class. In order to solve problems based on the participation of students in each class, the similarities between the processes of creating the structure of the discourse were analyzed. As a result of the analysis, the teacher was able to focus on the goal in the process of starting a discourse, and in the process of developing the discourse, the problem was solved by focusing on understanding the problem. In the process of arranging the discourse, the problem-solving process and the core of the result is summarized. Based on the possibility of generalization of the teacher discourse structure, it will be able to provide practical help in the process of implementing a teaching method that solves mathematics problems by communicating with students in the future.

• Journal of The Korean Association For Science Education
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• v.40 no.4
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• pp.385-398
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• 2020

This study aims to examine genetics problem-solving processes of high school students with different learning approaches. Two second graders in high school participated in a task that required solving the complicated pedigree problem. The participants had similar academic achievements in life science but one had a deep learning approach while the other had a surface learning approach. In order to analyze in depth the students' problem-solving processes, each student's problem-solving process was video-recorded, and each student conducted a think-aloud interview after solving the problem. Although students showed similar errors at the first trial in solving the problem, they showed different problem-solving process at the last trial. Student A who had a deep learning approach voluntarily solved the problem three times and demonstrated correct conceptual framing to the three constraints using rule-based reasoning in the last trial. Student A monitored the consistency between the data and her own pedigree, and reflected the problem-solving process in the check phase of the last trial in solving the problem. Student A's problem-solving process in the third trial resembled a successful problem-solving algorithm. However, student B who had a surface learning approach, involuntarily repeated solving the problem twice, and focused and used only part of the data due to her goal-oriented attitude to solve the problem in seeking for answers. Student B showed incorrect conceptual framing by memory-bank or arbitrary reasoning, and maintained her incorrect conceptual framing to the constraints in two problem-solving processes. These findings can help in understanding the problem-solving processes of students who have different learning approaches, allowing teachers to better support students with difficulties in accessing genetics problems.

• Journal of Educational Research in Mathematics
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• v.19 no.2
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• pp.207-231
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• 2009

The purpose of this study is to examine the state of problem solving in Korean elementary mathematics. To do this, we considered the meaning of problem and problem solving in mathematics education, and analyzed the mathematics curricula in the longitudinal-latitudinal dimensions respectively. The longitudinal one consists in examining and comparing the all-time Korean elementary mathematics curricula. Meanwhile the latitudinal one consists in examining and comparing the elementary mathematics curricula of Singapore, the United Kingdom, Japan, and France. As a result of analysis, we selected ten sieves for analysing Korean elementary mathematics textbooks according to the 7th mathematics curriculum. By the analysis, we conclude that we teach problem solving quite positively in school mathematics relative to another countries, in particular we have to reconsider some issues including dealing problem solving as a independent content not a process integrated in other contents.

• 한국정보교육학회:학술대회논문집
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• 2010.01a
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• pp.83-88
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• 2010

본 논문은 다양한 사고력 향상을 위한 문제 중심의 이야기를 만들어 스크래치 EPL 프로그래밍 교육과정에 접목시켜 전통적 수업방식인 시범, 실습 프로그래밍 교육과정과 비교하여 문제해결력, 프로그래밍 학습에 대한 흥미도를 통하여 새로 개발한 문제 중심의 스토리텔링 기법을 이용한 스크래치 EPL 프로그래밍 교육과정의 효과를 분석한다. 이를 통해서 학생들에게 흥미로운 이야기에 문제상황을 가미한 스크래치 EPL 프로그래밍 교육과정이 학생들의 문제해결력 및 흥미도를 향상 시키는 내용임을 검증한다.