• Proceedings of the Korean Society of Computer Information Conference
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• 2017.07a
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• pp.227-228
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• 2017

본 논문에서는 초등학생에게 공학적 설계를 기반으로 컴퓨터 프로그램을 처치한 초등 발명교육 프로그램을 설계 제안하고자 한다. 지오지브라 프로그램을 처음 접하는 5~6학년 학생들도 쉽게 결과물을 도출할 수 있고, 4D프레임으로 움직이는 조형물(키네틱 아트) 결과물을 도출할 수 있도록 총 12차시로 구성하였다. 추후에 공학적 설계를 강조한 컴퓨터프로그램 기반 발명수업을 통해 초등학생의 과학 태도와 창의성 함양에 어떤 영향을 주는지에 대한 후속연구를 진행하고자 한다.

• Communications of Mathematical Education
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• v.28 no.4
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• pp.457-474
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• 2014

Recently, with the development of technology, intuitive understanding of abstract mathematical concepts through visualizations is growing in popularity within college mathematics. In this study, we introduce free visualization tools developed for better understanding of topics which students learn in Calculus. We visualize important concepts of Calculus as much as we can according to the order of most Calculus textbooks. In this process, we utilized a well-known, free mathematical software called GeoGebra. Finally, we discuss our experience with visualizations in Calculus using GeoGebra in our class and discuss how it can be effectively adopted to other university math classes and high school math education.

• Journal for History of Mathematics
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• v.27 no.5
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• pp.313-327
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• 2014

Based on the importance and the necessity of the study on history of mathematics and mathemtics education using history of mathematics for finding the cultural identity and values of our traditional mathematics, we refer to two types of teaching and learning methods utilizing 'WonYongSamBangHoGu', the second theme of 'SanSulGwanGyeon' written by Lee Sang Hyuk. First, we present various cases of 'WonYongSamBangHoGu' constructed utilizing kind of mathematics learning software, GeoGebra by high school freshmen belonging to the Education Centers for the Gifted in Seoul Science Park. Second, We modernly reinterpret the questions contained in 'WonYongSamBangHoGu' and show several developed items using it.

• Proceedings of the Korean Society of Computer Information Conference
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• 2019.01a
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• pp.319-321
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• 2019

본 논문에서는 수학교육용 소프트웨어에서 확률적 현상을 경험한 이후 과학 그래프 해석에 있어 확률론적 관점을 도입하여 해석하는 학습자의 관점의 변화를 제시한다. 이 연구에서 11명의 고등학교 1학년 학생은 수학교육용 소프트웨어인 지오지브라(GeoGebra)를 활용하여 학습자가 평면 상에서 수직선이나 반원 위에 점을 찍는 활동을 통하여 기하학적 확률을 경험하였으며 이와 같은 경험을 토대로 물의 상평형 그래프를 해석하였다. 물의 상평형 그래프에 나타나는 얼음(고체), 물(액체), 수증기(기체)의 상태 변화에 대하여 각 상태가 나타나는 온도-압력의 영역 간의 경계에 대하여 학습자는 기하학적 확률을 적용하여 해석하려고 하였으나 경계선 위의 온도-압력의 물의 미시적 구조를 표현하는 과정에서 4명의 학생만 확률론적 관점으로 해석하고 그렇지 못한 학생들은 상태의 공존을 물질적 관점이나 과정적 관점으로 이해하였다.

• Journal of Educational Research in Mathematics
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• v.27 no.3
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• pp.391-410
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• 2017

This study aims to analyze mathematically gifted students' characteristics of generalization and justification for a given mathematical task and induce didactical implications for individual teaching methods by students' learning styles. To do this, we identified the learning styles of three mathematically gifted 6th graders and observed their processes in solving a given problem. Paper-pencil environment as well as dynamic geometrical environment using Geogebra were provided for three students respectively. We collected and analyzed qualitatively the research data such as the students' activity sheets, the students' records in Geogebra, our observation reports about the processes of generalization and justification, and the records of interview. The results of analysis show that the types of the students' generalization are various while the level of their justifications is identical. Futhermore, their preference of learning environment is also distinguished. Based on the results of analysis, we induced some implications for individual teaching for mathematically gifted students by learning styles.

• School Mathematics
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• v.16 no.2
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• pp.317-334
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• 2014

The purpose of this study is to grasp pre-service secondary teachers' understanding-realities for Taylor series convergence conceptions and to examine a teaching way using GeoGebra based on the understanding-realities. In this study, most pre-service teachers have abilities to calculate the Taylor series and radius of convergence, but they are vulnerable to conceptual problems which give meaning of the equality between a given function and its Taylor series at any point. Also they have some weakness in determining the change of radius of convergence according to the change of Taylor series' center. To improve their weakness, we explore a teaching way using dynamic and CAS functionality of GeoGebra. This study is expected to improve the pedagogical content knowledge of pre-service secondary mathematics teachers for infinite series treated in high school mathematics.

• Communications of Mathematical Education
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• v.35 no.2
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• pp.173-191
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• 2021

This study noted that a survey of teachers in a leading study conducted in Korea during the Pandemics period pointed out that the "real-time interactive" classes account for a significantly small portion of the remote class format. Contentually, the study reported cases of developing and applying "real-time interactive" class materials based on "planar decision requirements" of high school mathematics subject geometry. The teacher who participated in the development was a math teacher who worked at a Seoul-based high school with 28 years of high school teaching experience, and a teacher who was in charge of geometry in the math department in 2020. The development teacher decided to develop real-time interactive classes. In particular, the materials were developed by organizing the class guidance plan in four stages: 'Meeting and Class Guidance', 'Giving motivation', 'Suggesting tasks', 'Individual Investigative Activities and Teacher Feedback' and 'Reflection and Evaluation' which were selected through the process of selecting the class contents and selecting online class tools. At this time, the development teacher produced and presented about five minutes of video material using the videooscribe, a whiteboard animation program. And in case of task number 8, it consisted of recording the students' free thoughts after class, which served as a role of assessment by students themselves and providing feedback to their teachers. This study is a case study that introduces a series of courses in which field teachers develop class materials, and in addition to presenting class materials that can be applied directly to classes, is a result of a study that focuses on the role of presenting samples for future class data development. The materials developed were verified as class materials based on the opinions of the students who participated in the class and the results of the evaluation commissioned by the three math teachers.