• 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.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.8 no.6
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• pp.133-139
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• 2008

Cyber university can easily study the lecture only press the couple of mouse click or keyboard button anywhere and anytime, if you have a computer. Many people believe that virtual university can save time and improve learning. To check How many students learn which selected some of the virtual university courses, instructor must know how to the understanding students and find out their difficult problems. Without checking this condition, it will be a very difficult and boring virtual university course. In this paper, we introduce the intelligent learning system. It has a full duplex direction that teaches understanding students and not understanding students. The computer simulation results confirmed that a full duplex virtual learning system has been proven to be much more efficient than one way direction which unfortunately does not consider to understanding problems.

• Journal of the Korea Computer Industry Society
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• v.5 no.4
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• pp.435-442
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• 2004

Virtual university can easily study the lecture only press the couple of mouse click or keyboard button anywhere and anytime, if you have a computer. Many people believe that virtual university, can save time and improve learning. To check how many students learn which selected some of virtual university courses, instructor must knows how to the understanding students and find out their difficult problems. Without checking this condition, it will be a very difficult and boring virtual university course. In this paper, we introduce the intelligent learning system. It has a full duplex direction that teachs understanding students and not understanding student. The computer simulation results confirms that full duplex virtual learning system has been proven to be much more efficient than one way direction which unfortunately does not consider to understanding problems.

• Journal of the Korean School Mathematics Society
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• v.17 no.2
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• pp.291-319
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• 2014

The purpose of this study is to investigate students' thinking and understanding through working on Worked-out Examples on numbers and operations, specifically, radical and real numbers and operations in the middle grades. For this purpose, we developed a set of Worked-out Examples; middle school students independently worked on them. Then two students were interviewed. These data were analyzed by using the framework of mathematical proficiency. The data analysis suggested that the students seemed to go through the processes involving a combination of understanding and computation, computation and reasoning, and understanding, computation and reasoning. Also, it appeared that most of the students have difficult solving problems involving with radical and real numbers in related to strategic competence.

• Journal of Science Education
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• v.34 no.1
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• pp.93-104
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• 2010

The purpose of this study was to investigate the high school students' interests and and perceptions about the soil concepts. The data were obtained from 72 boys and 82 girls at a high school in Daegu area. The questionnaires were developed 8 questions for students' interest and 10 questions for students' understanding. The results of this study were as follows. In the examination of students' interest on the soil concepts, boys showed 3.2point(64.9%) out of 5point and girls showed 3.2point(64.6%) out of 5 point. Furthermore, a percentage of correct answers for understanding on the soil concepts was 47.4%. In detail, Boys had 48.2% and girls had 46.6%, boys showed higher understanding about soil concepts than girls. And students understood soil concepts by a visible side, to approach the soil concepts from a biological point of view, rather than a geologic one. Also high school students didn't think soil concepts to consist of minerals and rocks from a geologic point of view. Correlation between interest and understanding on the soil concepts was very weak by showing r=.170(p<.05).

• Journal of The Korean Association For Science Education
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• v.27 no.7
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• pp.663-675
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• 2007

Chemical reactions in cells are so complicated and abstract that students have difficulty in understanding them. In this study, classes with the application of systematic analogies used at the interpretation of experimental results were taught to 10th-grade students in order to help them to understand the concept of enzymes, which play an important role in chemical reactions in cells. Effects of the classes on their understanding of the concept of enzymes and the role of systematic analogies were analyzed. The gap of understanding between the test group and the control group was significant at 0.05, indicating that systematic analogies are effective for students' understanding of the concept of enzymes. Looking into the concept of enzymes by individual element, the effect of systematic analogies was shown to be large for equilibrium-like processes, such as the enzyme structure change caused by temperature and pH; and the continuous and random actions of enzymes, which students have difficulty in understanding. For these processes, systematic analogies played a positive role in improving their conceptual status. The visualizations and familiarity of analogs increased their intelligibility regarding the concept of enzyme. Also, the systematic analogies increases their plausibility by helping to connect phenomena, taking place in the enzyme reaction experiments, with scientific concepts as scaffold. Accordingly, it was possible to explain experimental results as scientific concepts in a consistent manner. In addition, analogies familiar to students played a positive role from the affective perspective by promoting students' interest and helping them to approach hard scientific concepts.

• Journal of The Korean Association For Science Education
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• v.38 no.4
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• pp.541-553
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• 2018

The purpose of this study is to explore the relationship between epistemic goals, epistemic considerations and complexity of reasoning of science high school students in an open inquiry and to explore the context on how open inquiry compares with the characteristics of an authentic scientific inquiry. Two teams were selected as focus groups and a case study was conducted. The findings are as follows: First, the contexts, such as 'sharing the value for the phenomenon understanding, reflection on the value of the research, task characteristics that require collaboration and consensus, and sufficient communication opportunities,' promote epistemic goals and considerations. On the other hand, contexts such as 'lack of opportunity for critical review of related literature and environmental constraints' lowered epistemic sides. Second, epistemic goals and considerations influenced the reasoning complexity. The goal of 'scientific sense making' led to reasoning that pose testable hypotheses based on students' own questions. The high justification considerations led to purposely focusing attention to the control designs and developing creative experimental know-how. The high audience considerations led to defending their findings through argumentation and suggesting future research. On the other hand, the goal of 'doing the lesson' and the low justification considerations led to reasoning that did not interpret the meaning of the data and did not control the limit of experiment. The low audience considerations led to reasoning that did not actively defend their findings and not suggest future research. The results of this study suggest that guidance should provide communication and critical review opportunities.

• Journal of The Korean Association For Science Education
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• v.37 no.1
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• pp.39-48
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• 2017

In this study, we investigated the characteristics of analogs generated by high school students to explain ionic bonding in the perspectives of the number of analogs, the understanding of mapping, and the source and type of analogs. We also compared the results by students' conceptual understanding, logical thinking ability, and analogical reasoning ability. Participants in this study were 395 11th graders in Seoul. The results of the study showed that the higher the conceptual understanding, the logical thinking ability, and the analogical reasoning ability, the more the students generated the analogs. The understanding of mapping was related to logical thinking ability and analogical reasoning ability. It is noteworthy that the sources of analogs differed only depending on their conceptual understanding of the target concept among the cognitive variables studied. Students who had higher conceptual understanding also generated analogs from more diverse sources. Some types of the generated analogs were related to the cognitive variables. For examples, the students who had higher conceptual understanding and logical thinking ability generated more verbal/pictorial analogs. The types of analogs were not related to cognitive variables in terms of artificiality, abstraction, and systemicity. Educational implications of these findings were discussed.

• Journal of The Korean Association For Science Education
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• v.33 no.4
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• pp.718-734
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• 2013

The purpose of the study is to investigate high school students' perception and understanding of old metaphorical science terminologies and new metaphorical science terminologies (highly metaphorical science terminologies). For the study, three old metaphorical terminologies and three new metaphorical terminologies have been chosen from the old and new Korean science curricula respectively, and 176 high school students who learned physics based on 7th science curriculum developed in 1997 and 175 highschool students who learned physics based on the science curriculum revised in 2009 were sampled from two high schools in a big city in Korea. The research results are as follows: First, for the old metaphorical terminologies, there are more students who give explanations using scientific terms than those who use the meaning of the metaphors that terminologies had. Second, for the new metaphorical terminologies, there are much less students who give explanations using scientific terms than those who explained using the meaning of the metaphors that the terminologies had. Therefore, it should be emphasized that, for the new metaphorical terminologies, the metaphorical meaning of the terminologies do not mean the concepts themselves in teaching science.

• Journal of the Korean School Mathematics Society
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• v.15 no.4
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• pp.643-671
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• 2012

The purpose of this study was to examine How the exploratory activities using Excel and GSP which are exploratory software, in learning analytic geometry affected on the underachievers' analytic geometry concept development process. The subjects of 5 students who received the 8th~9th grades from their examination of the last semester, participated in a total of 7 units based on Skemp's intelligent learning model. The results of the study showed that there were two important cases found to nearly achieve the category $R_2$. One was reflective thinking could happen through exploratory software in category $R_1$. The other was the exploratory activities which could have the same effectiveness as the relational understanding in category $I_2$, as Skemp mentioned that there is a room to be achieved in the elementary level when such relational understanding is achieved.