• Communications of Mathematical Education
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• v.19 no.2 s.22
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• pp.389-407
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• 2005

수학은 위계적이고 구조적인 특성을 가지고 있어서 학생들이 적절하게 학습하면 내적 동기유발이 가능하고 흥미 있게 학습해 나갈 수 있는 반면 단편적인 지식들로 학습하려 한다면 그 양이 방대해지고 제대로 이해하기가 어렵다. 그러므로 교사는 수학적 지식의 구조를 깨달아 지식의 본체가 내적으로 어떻게 조직되고 상호 관련되어 있는지 알아야 하고 학생들이 수학적인 아이디어와 절차를 획득하고 탐구하게 하는 적절한 문제를 제시하여 문제해결을 통해 가르쳐 가는 방법을 생각해야 할 것이다. 이 때에 학생들은 문제해결 과정에서 능동적인 역할을 하면서 자신이 학습하고 있는 것의 핵심을 인식하고 호기심을 갖고 유의미한 기능들을 이끌어내는 학습을 해야 하는데, 이는 오랜 전통의 탐구 학습과 그 맥락을 같이 하는 것이다. 수학교과 고유의 특성을 살려 지식의 구조를 가르침에 있어서 교수 방법으로의 문제해결을 통한 지도와 학습 방법으로의 탐구학습 과정은 잘 조화될 수 있다. 이러한 조화된 모습을 드러나게 하고자 초등학교 5학년 가 단계에서 '평면도형의 넓이와 둘레 사이의 관계'를 탐구하게 하는 문제해결을 통한 탐구학습 과제를 제시해 보았다. 30-40년을 거슬러 올라가는 역사를 갖는 지식의 구조나 탐구학습, 문제해결에 대한 관심은 오늘날에도 여전히 시사하는 바가 크다고 하겠다. 수학교육에 관한 연구들은 완전히 새로운 것이기보다는 이전의 것들이 주는 의미를 되새기고 오늘의 상황에 비추어 해석할 때 수학교육은 한 단계 올라서게 된다.

• Journal of the Korean earth science society
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• v.30 no.3
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• pp.366-380
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• 2009

The purpose of this study was to investigate the differences of reflective inquiry according to students' characteristics and interaction modes of small group in three contexts of the classroom and to obtain educational implications about using small group and teacher's intervention for an effective reflective inquiry. We transcribed and analyzed the students' conversation in inquiry activities of small group with frameworks of linguistic behavior and three contexts of the classroom. The result of the study indicated that individual and group reflective inquiry could be affected by the relationship with peers more than their own characteristics.

• Journal of The Korean Association For Science Education
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• v.23 no.5
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• pp.494-504
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• 2003

The primary purpose of the study was to determine the appropriateness of the inquiry processes described in Science VII's written based on the 7th National Science Curriculum. It was found that the basic processes were well reflected on the textbooks analyzed for the research. However, only a few integrated processes and the inquiry activities could be seen on the same textbooks. Furthermore, a larger majority of the inquiry processes and activities were not agreed with what the tasks and titles say. Especially, the none of as many as 71 experiments were not coincided with their titles' intentions. Also suggested in the paper were the implications of the results for the science education in the Korean middle schools.

• Journal of Gifted/Talented Education
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• v.19 no.3
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• pp.647-667
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• 2009

This study intends to analyze open-ended inquiry activities of elementary science-gifted students in terms of how similar they are to authentic science inquiry and suggest desirable ways to make more effective programs for the gifted. For this study, we selected a small group with five elementary science-gifted students who had participated in the open inquiry program of summer camp held in the Institute for Science Gifted Education and collected data through recording and video-taping their discussion and performance from planning to coordinating inquiry results. The data was analyzed in terms of epistemological features and cognitive process in authentic science inquiry. The results is as follows. In terms of epistemology, students' inquiry methods were theory laden and they constructed knowledge in collaborative groups. For example, the students often discussed about performing the thought experiment and scientific concept related to inquiry task or their opinion. And in terms of cognitive process, their designing inquiry was similar to authentic science inquiry especially selecting variables, planning procedures, controlling variables, planning measures.

• Journal of The Korean Association For Science Education
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• v.26 no.1
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• pp.16-24
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• 2006

The purpose of this study was to compare student-student verbal interaction from two type's experiments; problem-solving and task-solving. For this study, five 3rd grade middle school students were selected and their verbal interactions recorded via voice and video; and later transcribed. The student-student verbal interactions were classified as questions, explanations, thoughts, or metacognition fields, which were separated into deep versus surface learning approaches. For the problem-solving experiment, findings revealed that the number of verbal interactions is more than doubled and in particular, the number of verbal interactions using deep-approach is more than quadrupled from the point of problem-recognition to problem-solution. As for the task-solving experiment, findings showed that verbal interactions remained evenly distributed throughout the entire experiment. Finally, it was also discovered that students relied upon a more deep learning approach during the problem-solving experiment than the task-solving experiment.

• Education of Primary School Mathematics
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• v.14 no.1
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• pp.43-55
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• 2011

The purpose of this study was to investigate the effects of inquiry oriented instruction on the learning of area formulas. For this purpose, current elementary mathematics textbook(2007 revised version) which deal with area formulas was reviewed and then the experimental research on inquiry oriented instruction in area formulas was conducted. The results of this study as follow; First, there was no significant effect of inquiry oriented instruction on the mathematical achievement in area formula problems. Second, there was no significant effect on the memorization of area formulas. Third, there was significant effect on the generalization of area formulas. Forth, there was significant effect on the methods of generalization of area formulas. Fifth, through inquiry activities, the students can learn mathematical ideas and develop creative mathematical ideas. Finally, implications for teaching area formulas through inquiry activity was discussed. We have to introduce new area formula through prior area formulas which had been studied, and make the students inquire the connection between each area formulas.

• Communications of Mathematical Education
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• v.35 no.2
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• pp.193-212
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• 2021

This study is to support the school's mathematics exploration activities. Mathematics exploration is a very important mathematical activity not only for mathematics teachers, but also for students. Looking at the development of mathematics, it has been extended from one mathematical fact to a new mathematical fact. Mathematics exploration activities are not unique to mathematicians, and opportunities are equally given to all ordinary people who are learning mathematics and teaching mathematics. Therefore, the purpose of this study is to develop a method of mathematics exploration activities that teachers and students can perform in schools, based on mathematics exploration activities based on one mathematical fact. Specifically, the cosine law was selected as one mathematical fact, and mathematical exploration activities were performed based on the cosine law. By analyzing the results of these mathematics exploration activities, we developed a method to explore school mathematics. Through the results of this study, it is expected that mathematics exploration activities will be conducted equally by students and teachers in the mathematics classroom.

• Journal of The Korean Association For Science Education
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• v.19 no.3
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• pp.448-460
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• 1999

Worksheets with various levels are major instructional material in open classroom, but sometimes they have been arbitrarily developed in elementaryschools. Especially, pedagogical elements of science course seem to have been neglected in developing science learning papers. To solve these problems, a model of worksheets was developed considering the contextual nature of science knowledge and educational constructivism. The frame of this model is composed of inquiry skill and context, which are two dimensions of each learning task. The level of each worksheet was determined by the level of inquiry skills and the familiarity of contexts.

• Journal for History of Mathematics
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• v.17 no.3
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• pp.109-120
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• 2004

This study investigated three pre-service teachers' mathematical problem solving among hand-in-write-ups and final projects for each subject. All participants' activities and computer explorations were observed and video taped. If it was possible, an open-ended individual interview was performed before, during, and after each exploration. The method of data collection was observation, interviewing, field notes, students' written assignments, computer works, and audio and videotapes of pre- service teachers' mathematical problem solving activities. At the beginning of the mathematical problem solving activities, all participants did not have strong procedural and conceptual knowledge of the graph, making a model by using data, and general concept of a sine function, but they built strong procedural and conceptual knowledge and connected them appropriately through mathematical problem solving activities by using the computer technology.

• Journal of The Korean Association For Science Education
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• v.37 no.5
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• pp.879-889
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• 2017

The purpose of this study is to develop the evaluation criteria for students' research reports on online science inquiry problems that promote thinking abilities. The steps of developing the evaluation criteria are as follows; First, based on previous study results and literature review, the evaluation categories of the science inquiry contents were determined: 1) knowledge, 2) logical and analytical thinking, 3) critical thinking, 4) science process skills, 5) problem-solving, and 6) creative thinking. Second, evaluation criteria are developed according to the following steps: 1) define each category, 2) identify sub-category, 3) develop evaluation criteria for all categories that could serve as guidelines in the development of scoring rubrics, and 4) expert validation processes were performed. Finally, the usability test for these evaluation categories and criteria were done by being applied to the development of real scoring rubrics for 24 problems included in e-learning contents. Then the users' feedbacks were filed and the implications of this study were discussed.