• Communications of Mathematical Education
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• v.8
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• pp.17-32
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• 1999

본 논문의 목적은 Cabri II 를 이용하여 형식적이고 연역적인 증명수업 방법의 대안을 찾는 데 있다. 형식적인 증명을 하기 전에 탐구와 추측을 통한 발견과 그 결과에 대한 비형식적인 증명 활동을 강조한다. 역동적인 기하소프트웨어인 Cabri II 는 작도가 편리하고 다양한 예를 제공하여 추측과 탐구 그리고 그 결과의 확인을 위한 풍부한 환경을 제공할 수 있으며, 끌기 기능을 이용한 삼각형의 변화과정에서 관찰할 수 있는 불변의 성질이 형식적인 증명에 중요한 역할을 한다. 또한 도형에 기호를 붙이는 활동은 형식적인 증명을 어렵게 만드는 요인 중의 하나인 명제나 정리의 기호적 표현을 보다 자연스럽게 할 수 있게 해 준다. 그러나, 학생들이 증명은 더 이상 필요 없으며, 실험을 통한 확인만으로도 추측의 정당성을 보장받을 수 있다는 그릇된 ·인식을 심어줄 수도 있다. 따라서 모든 경우에 성립하는 지를 실험과 실측으로 확인할 수는 없다는 점을 강조하여 학생들에게 형식적인 증명의 중요성과 필요성을 인식시킬 필요가 있다. 본 연구에 대한 다음과 같은 후속연구가 필요하다. 첫째, Cabri II 를 이용한 증명 수업이 학생들의 증명 수행 능력 또는 증명에 대한 이해에 어떤 영향을 끼치는지 특히, van Hiele의 기하학습 수준이론에 어떻게 작용하는 지를 연구할 필요가 있다. 둘째, 본 연구에서 제시한 Cabri II 를 이용한 증명 교수학습 방법에 대한 구체적인 사례연구가 요구되며, 특히 탐구, 추측을 통한 비형식적인 중명에서 형식적 증명으로의 전이 과정에서 나타날 수 있는 학생들의 반응에 대한 조사연구가 필요하다.

• Journal of the Korean earth science society
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• v.30 no.7
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• pp.909-927
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• 2009

Inquiry became an essential methodology in science education. Recently, argumentation becomes more important in inquiry, but inquiry-based teaching in school science would not provide enough opportunities for students to have voluntary and active interactions during inquiry activities. Informal science learning can be an alternative for authentic inquiry. Accordingly, this study aims to find interaction patterns in dialogic inquiry of junior high school students in small groups in the natural history gallery. Inquiry elements and interaction patterns are analyzed with 42 dialogues of 13 small groups. As a result, seven interaction patterns are identified. First, five major interaction patterns were drawn as follows; Sharing questions, asking questions and simple response, asking questions and simple explanation, asking questions-simple explanation-(collecting data)-data based explanation, and asking questions-collecting data-data based explanation. Second, pattern 2, 'asking questions and simple response', is subdivided into three categories; passive and/or evasive response, inaccurate response, and repeated patterns of asking questions-simple response. The results of the study provide different patterns of dialogic interactions in a small group inquiry in informal contexts from formal contexts, and provide foundations to understand middle school students' interactive dialogues of inquiry occurred in the natural history gallery.

• Journal of Elementary Mathematics Education in Korea
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• v.20 no.1
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• pp.131-148
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• 2016

Mathematical formal justification may be seen as a bridge towards the proof. By requiring the mathematically gifted students to prove the generalized patterned task rather than the implementation of deductive justification, may present challenges for the students. So the research questions are as follow: (1) What are the difficulties the mathematically gifted elementary students may encounter when formal justification were to be shifted into a generalized form from the given patterned challenges? (2) How should the teacher guide the mathematically gifted elementary students' process of transition to formal justification? The conclusions are as follow: (1) In order to implement a formal justification, the recognition of and attitude to justifying took an imperative role. (2) The students will be able to recall previously learned deductive experiment and the procedural steps of that experiment, if the mathematically gifted students possess adequate amount of attitude previously mentioned as the 'mathematical attitude to justify'. In addition, we developed the process of questioning to guide the elementary gifted students to formal justification.

• Journal of Gifted/Talented Education
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• v.15 no.1
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• pp.85-102
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• 2005

Some properties on the mathematical hyper-dimensional figures by 'the principle of the permanence of equivalent forms' was investigated. It was supposed that there are 2 conjectures on the making n-dimensional figures : simplex (a pyramid type) and a hypercube(prism type). The figures which were made by the 2 conjectures all satisfied the sufficient condition to show the general Euler's Theorem(the Euler's Characteristics). Especially, the patterns on the numbers of the components of the simplex and hypercube are fitted to Binomial Theorem and Pascal's Triangle. It was also found that the prism type is a good shape to expand the Hasse's Diagram. 5 mathematically gifted high school students were mentored on the investigation of the hyper-dimensional figure by 'the principle of the permanence of equivalent forms'. Research products and ideas students have produced are shown and the 'guided re-invention method' used for mentoring are explained.

• Journal for History of Mathematics
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• v.32 no.6
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• pp.281-299
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• 2019

Mathematical problem solving has become a major concern in school mathematics, and methods to enhance children's mathematical problem solving abilities have been the main topics in many mathematics education researches. In addition to previous researches about problem solving, the development of a mathematical problem solving method that enables children to establish mathematical concepts through problem solving, to discover formalized principles associated with concepts, and to apply them to real world situations needs. For this purpose, I examined the necessity of problem solving education and reviewed mathematical problem solving researches and problem solving models for giving the theoretical backgrounds. This study suggested the problem solving approach based on the intuitive and the formal inquiry which are the basis of mathematical discovery and inquiry process. And it is developed to keep the balance and complement of the conceptual understanding and the procedural understanding respectively. In addition, it consisted of problem posing to apply the mathematical principles in the application stage.

• Journal of the Korean earth science society
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• v.25 no.7
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• pp.576-585
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• 2004

This study was conducted to analyze the relationships between terms, learning concepts and inquiries in ocean unit, the National Common Basic Curriculum. The several science textbooks were selected to use for study, written in accordance with the 7 current national curriculum for the fourth grade of elementary school, the seventh of middle school and the tenth of high school. The higher the school level becomes, the frequencies of using terms related with ocean region get. The explanation of terms, however, has a tendency to be less frequent in the high school level. In the perspective of learning concept, there are more concrete concepts than formal concepts regardless of school level. Pure scientific context appears most often in inquiry contest through the whole course of every school level. In respect to inquiry process, the frequency of integrative inquiry process is on the increase as the school level gets higher. From the viewpoint of inquiry activity, there have been a lot of discussions, experiments and investigations in every school level, while high school does not the present any field study and project. Through these result, it is considered that the explanation of main terms is inevitable in the textbooks as basic educational material without regard to school level. In learning concept and inquiry context, a well-rounded learning is needed in relation to students' cognitive development and science-technology-society. Especially for the inquiry activity of earth science education, the educational effect is remarkable through field study; its appropriate application is required, accordingly.

• Journal of The Korean Association For Science Education
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• v.18 no.4
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• pp.539-544
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• 1998

The consistency and balance of objectives by objective domains in units, sub-units and instructional units were investigated. The 6th elementary biology curricular teaching guidebooks were analysed. Domains of objectives are cognitive, inquiry process, instrumental skill, creative, affective and STS. Cognitive objectives were most dominant in all units, sub-units and instructional units. But no objective for creative domain were suggested. In unit and sub-unit, proportions of objectives were cognitive, inquiry process, affective, instrumental skill and STS domains in order. Objectives for cognitive and inquiry process domains were more than others in instructional units, Except cognitive and inquiry process domains, objectives for the others were not consistent in all units, sub-units and instructional units. Especially, the percentages of objectives for affective domain decreased in units, sub-units and instructional units orderly. These resulted from teaching objective domains categorized formally, Thus, it is necessary to develope curriculum and textbook to be consistent and balanced with objective domains and reflect upon the characteristics of them.

• Journal of Educational Research in Mathematics
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• v.13 no.4
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• pp.495-506
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• 2003

In this study, 1 investigated some properties on the special hyper-dimensional figures made by the principle of the performance of equivalent forms representation. I supposed 2 definitions on the making n-dimensional figure : a cone type(hypercube) and a pillar type(simplex). We can explain that there exists only 6 4-dimensional regular polytopes as there exists only 5 regular polygons. And there are many hyper-dimensional figures, they all have sufficient condition to show the general Euler' Characteristics. And especially, we could certificate that the simplest cone type and pillar types are fitted to Pascal's Triangle and Hasse's Diagram, each other.

• The Journal of the Korea Contents Association
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• v.13 no.2
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• pp.100-107
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• 2013

Agn$\grave{e}$s Varda is a French representative female film director. In particular, the method combining subjectivity and objectivity is the most outstanding characteristics. However, it can be said that the method to support this is not only theme of the film but also creation of structure including the exploration for the filmic form different from classical film form. Such an approach accords with No$\ddot{e}$l Burch's refined analysis of filmic form. Therefore, This study aims to aesthetical analysis of the form of producing the structure in modern movies through which is one of the representative work by Agn$\grave{e}$sVarda and won the Golden Lion award in 1985 Venice Film Festival. The theme of the film, the recovery of relationships among people and contacts through the tragic death of drifting life, created a new filmic structure by formative experiment of the film. The formative experiment is the fragmented and repetitive construction with the introductory voice-over, and consists of movement and editing of camera and specific use of flashback and sound through the representation of figures and situations, mixture of narrative and non-narrative style.

• Journal of The Korean Association For Science Education
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• v.39 no.4
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• pp.545-562
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• 2019

The purpose of this study is to develop cognitive scaffolding tools and to explore their effects on integrated science process skills of high school students. For this purpose, we developed cognitive scaffolding tools including one kind of classroom instruction for training integrated process skills and two kinds of individual learning materials that students can selectively study according to their level of inquiry ability. In addition, we developed hypothetico-deductive inquiry tasks as a tool to investigate the level of students on the integrated process skills for pre-test and post-test respectively. In order to verify the effectiveness of the cognitive scaffolding tools, we conducted inferential statistics on the pre-and post-tests of the experimental group and control group to examine statistical significance of students' inquiry level change depending on the usage of the cognitive scaffolding tools. We also produced Wrightmaps based on Rasch model to compare the change of inquiry ability depending on usage of the cognitive scaffolding tools. As a result, the experimental group using the cognitive scaffolding tools showed a significantly higher scores in all the components of integrated process skills namely, designing inquiry, collecting data, analyzing data, and forming conclusion than the control group. In addition, students who used cognitive scaffolding tools improved their inquiry ability and showed a distinct transition to higher level in each component of the integrated process skills. The results of this study suggest that high school students need cognitive scaffolding to alleviate or eliminate the functional barriers they face in conducting scientific inquiries.