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        분류 활동을 통한 직각삼각형 개념 지도에 관한 연구

        노은환,김정훈,강미정,신한영,장송이,Roh, Eun Hwan,Kim, Jung Hoon,Kang, Mi Jeong,Shin, Han Young,Jang, Song Yi 영남수학회 2018 East Asian mathematical journal Vol.34 No.4

        The researchers set up a research question to find out how to teach the concept of a right triangle through classification activities after listening to the conversations of fellow teachers about the recently revised textbooks. First, a questionnaire was created to confirm the objectivity of the research problem, data were collected through online and offline, and interviews were conducted with some of the respondents. As a result, it confirmed that there was a considerable difference in the perception of the research study about the direction of revising the curriculum called 'student participation centered' and 'the possibility of achieving the learning objective'. Then, we analyzed the critical interpretations used in the third grade math textbook Lesson 2. 'Plane Figure' part 4 and 5. Finally, by analyzing the results of the recognition analysis and textbook analysis, we proposed two learning methods which can link the triangle classification activity and the right triangle concept. Based on the results of the research, we obtained suggestions that a teaching should be made regarding that the classification process may be changed according to the student's prior knowledge and the process of classification activities may be different according to the viewpoint and classification criteria.

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        Surface Charge on Ferroelectric Thin Film by the High Electric Field Induced at Scanning Probe Microscope Tip

        J. Y. Son,H. Kim,A. I. Ali,이한보람,J. H. Cho,신한영 한국물리학회 2007 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.51 No.II

        We report the surface charge on ferroelectric thin film by the high electric field induced at a scanning probe microscope tip and its influence on the signal obtained in the measurement of surface potential. To calculate the electric field induced at a SPM tip when a domain of the ferroelectric thin film is switched by a given bias, two schematic models of a spherical SPM tip and a cone-shaped SPM tip are considered. For the cone-shaped SPM tip, the electric field was larger than that of the spherical SPM tip, which is probably due to its relatively high capacitance. Based on the consideration of Schottky emission, the Schottky currents of the two models showed values large enough to induce a charge on the surface of the ferroelectric thin film. From the Schottky currents, the induced charge densities of the two models were obtained and these induced charge densities exceed the charge density of saturated polarization in ferroelectric PbZr$_{0.53}$Ti$_{0.47}$O$_{3}$ thin film above 1.1 V for the cone-shaped SPM tip or 2.0 V for the spherical SPM tip We report the surface charge on ferroelectric thin film by the high electric field induced at a scanning probe microscope tip and its influence on the signal obtained in the measurement of surface potential. To calculate the electric field induced at a SPM tip when a domain of the ferroelectric thin film is switched by a given bias, two schematic models of a spherical SPM tip and a cone-shaped SPM tip are considered. For the cone-shaped SPM tip, the electric field was larger than that of the spherical SPM tip, which is probably due to its relatively high capacitance. Based on the consideration of Schottky emission, the Schottky currents of the two models showed values large enough to induce a charge on the surface of the ferroelectric thin film. From the Schottky currents, the induced charge densities of the two models were obtained and these induced charge densities exceed the charge density of saturated polarization in ferroelectric PbZr0.53Ti0.47O3 thin film above 1.1 V for the cone-shaped SPM tip or 2.0 V for the spherical SPM tip.

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