• School Mathematics
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• v.18 no.1
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• pp.127-141
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• 2016

This study analyzes modes related to use of graph representation that appears to solve high school students quadratic function problem based on the graph using modes of Chauvat. It was examined the extent of understanding of the quadratic function of students through the flexibility of the representation of the Bannister (2014) from the analysis. As a result, the graph representation mode in which a high school students are mainly used is a nomographic specific mode, when using operational mode, it was found to be an error. The flexibility of Bannister(2014) that were classified to the use of representation from the point of view of the object and the process in the understanding of the function was constrained operation does not occur between the two representations in understanding the function in the process of perspective. Based on these results, the teaching on use graph representation for the students in classroom is required and the study of teaching and learning methods can understand the function from various perspectives is needed.

• Korean Journal of Comparative Education
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• v.26 no.4
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• pp.105-124
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• 2016

This research aims to analyse the features and meaning of students' participation in lifelong learning city project in Germany. Lifelong learning city project has been running for several years to develop a new learning culture in the grass root level. In Germany, many students in elementary, middle and high school have actively participated in diverse lifelong learning projects such as learning support, career development, community participation. This case study shows us to reshape a new model of lifelong learning and widen the range of target group for lifelong learning in Korea. Student participation can enrich the quality of lifelong learning city project, which could make a significant contribution to embodying the lifelong learning society by creating a new learning culture.

• Communications of Mathematical Education
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• v.18 no.3 s.20
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• pp.149-161
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• 2004

영재교육 프로그램 참여와 관련하여 학생들의 수학학습실태를 분석하고 암묵적 이론의 관점에서 영재교육 프로그램 참여학생들의 수학학습활동에 영향을 주는 요인은 무엇이고 어떻게 구성되어 있으며, 이러한 동기화 요인의 구성은 비슷한 학령의 일반학생 및 과학고등학교에 재학중인 학생들과는 어떤 차이가 있는지를 밝히는데 주된 목적을 두고 있다.

• Journal of Gifted/Talented Education
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• v.21 no.2
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• pp.511-530
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• 2011

This study aims to find out science talented students' percentage of cognition about the views of nature of science and science inquiry which are essential for having a good understanding with science concepts. Each group of 40 science gifted students and 35 ordinary students was tested with a test of views of nature of science and science inquiry which consisted of 19 items with index of content validity 97% and reliability index 0.86, then its results being compared and analyzed. A group of science gifted students' percentage of cognition about the views of nature of science ranges from 20% to 97.5% -although it differs according to detailed views-showing its mean of 67% (50% in a group of ordinary students). Especially, the percentage of cognition about the sub view that there can be different opinions among scientists was high among woman science gifted students. A group of science gifted students' percentage of cognition about the views of science inquiry ranges from 27.5% to 77.5% -although it differs according to detailed views- showing 53% in their mean (41.8% in a group of ordinary students). Especially, the percentage of cognition about the sub view that scientists can have different research methods was high among woman science gifted students. The percentage of mistaken cognition by science gifted students about views of nature of science and about views of science inquiry was 33%, 47% respectively.

• Journal of the Korean School Mathematics Society
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• v.8 no.1
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• pp.1-17
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• 2005

The purpose of this paper was to investigate the mathematical knowledge and perspective of elementary school teachers in the development and evaluation of students' mathematical tests, analyse test questions, and suggest several principles for the several issues of making and evaluating test-questions. The researcher surveyed 268 elementary school teachers who attended a teachers training program at the A university during January, 2005. The data were analysed by the patterns. The patterns were ambiguity or uncorrectly-described test questionnaires, wrong interpretation of students' responses by the teachers, teacher's deficiency of student' levels and perspectives of mathematics, problematic questionnaires against test-making method, and so forth. Teachers are encourages to cross check to avoid the above problems, to have a strong mathematical knowledge, and to see students' mathematical answers in a flexible manners.

• Journal of the Korean Chemical Society
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• v.56 no.6
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• pp.731-738
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• 2012

The purpose of this study is to analyze the understandings of science high school students on the conception of chemical cell in relation to chemical equilibrium from the microscopic viewpoint at molecular level through questionnaires and follow-up interviews. The results show that they have high understandings on the chemical equilibrium states in the electrochemical cell and on the redox reaction taking place simultaneously when a metal electrode is immersed in the metal ion solution. However, they do not fully comprehend the development of electrical potential difference, electron movement, electrode potential measurement in the half-cells, and calculation of the net cell voltage between anode and cathode in the chemical cell because of difficulties in the microscopic understanding the interaction on the interface at the electrode and the electrolyte solution.

• Education of Primary School Mathematics
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• v.14 no.1
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• pp.1-12
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• 2011

This paper provides an outline of mathematics education based on the classroom ecology. Ecology is the subject that concentrates on the relations of human and environment. As mathematics education consists of many factors, it is natural that mathematics education should be interest in the perspective of ecology. This paper examines the meaning of ecology and classroom ecology of mathematics education in the perspective of ecology. And it provides the directions of ecological mathematics education. In special, I set the frame of mathematics classroom in the perspective of ecology. The ecological structure divides microsystem(teacher, student, content), mesosysten(relations of microsystems), exosystem(school), and macrosystem(the objects of mathematics education). Lastly, I suggest the ways of mathematical learning and research of classroom ecology in mathematics education. For we should focus the improvement of students' mathematical ability, we must search for the various teaching and learning methods and the ares of research in the perspective of ecology classroom. Therefore, we should be interested in the classroom environments as well as teaching methods, contents based on the ecology classroom in mathematics education.

• School Mathematics
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• v.9 no.1
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• pp.141-160
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• 2007

The purpose of this paper was to evaluate how students apply prior knowledge or experience in solving algebra word problems from the chain of signification-based perspective. Three middle school students were evaluated in this case study. The results showed that the subjects formed similarities in the process of applying knowledge needed for solving a problem. The student A and C used semi-open-end formulas and closed formulas as solutions. They then formed concrete shape for each solution using the chain of signification that was applied for solution by forming procedural similarity. At this time, the chain of signification could be the combination of numbers, words, and pictures (such as diagrams or graphs) or just numbers or words. On the other hand, the student C who recognized closed formulas and her own rule as a solution method could not formulate completely procedural similarity due to many errors arising from number information. Nonetheless, all of the subjects showed something in common in the process of coming up with a algorithm that was semi-open-end formula or closed formula.

• School Mathematics
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• v.5 no.1
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• pp.59-76
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• 2003

Algebraic signs are important on learning and problem solving of algebra. This study investigated the contents of letters and expressions in textbooks by syntactics, semantics and pragmatics, and considered the introduction and extension processes of algebraic signs didactically. We also categorized the signs, and looked into textbook problems in view of semiotic. The result is that textbook is constructed in syntactics and semantics. Finally, the assessment of 7th grade students' competence in syntactics, semantics, syntactics+- semantics, pragmatics, and problem solving shows that students' ability in syntactics and pragmatics Is a predictive variable for algebraic problem solving.

• Journal of The Korean Association For Science Education
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• v.38 no.4
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• pp.481-494
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• 2018

This study investigated elementary students' understanding of Earth revolution and its accompanied apparent motion of constellation in terms of spatial reasoning. We designed a set of multi-tiered constructed response items in which students described their own idea about the reason of consecutive movement of constellations for three months and drew a diagram about relative locations of the Sun, the Earth, and the constellations. Sixty-five sixth grade students from four elementary schools participated in the tests both before and after science classes on the relative movement of Earth and Moon. Their answers to the items were categorized inductively in terms of transforming frames of reference which are observed on the Earth and designed from the Space-based perspective. We analyzed those categories by the levels of spatial reasoning and depicted the change of students' levels between pre/post-tests so that we could get an idea on the preliminary developmental pathway of students' understanding of this topic. The lower anchor description was that constellations move around the Earth with geocentric perspective. Intermediate level descriptions were planar understanding of Earth movement, intuitive idea on constellation movement along with the Earth. Students with intermediate levels did not reach understanding of the apparent motion of constellations. As the upper anchor description students understood the apparent motion of constellations according to the Earth revolution and could transform their frames of reference between Earth-based view and Space-based view. The features as the case of evolutionary learning progressions and critical points of students' development for this topic were discussed.