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손홍찬,고호경,Son, Hong-Chan,Ko, Ho-Kyoung 한국수학사학회 2007 Journal for history of mathematics Vol.20 No.4
In the nineteenth century was Augustus De Morgan, British mathematician, a great mathematics teacher. Although his name is well known to everybody who is interested in set theory, his major mathematical legacy would arise from his novel research in logic. In this article, we first investigate De Morgan's life briefly; we then consider his precious philosophy of mathematics education based on his students' remarks and his works. Finally, by considering his teaching style, we highlight some of the ingredients that go into making a great mathematics teacher.
손홍찬 ( Hong Chan Son ) 한국수학교육학회 2011 한국수학교육학회 학술발표논문집 Vol.2011 No.-
In this paper, we listed and discussed the properties of the Pythagorean triples which 5 gifted 9th graders could draw in spreadsheets environments. And we also discussed their implications. In detail, in spreadsheets environments students could make the table of Pythagorean triples easily under several conditions of generate numbers of Pythagorean triples. And they could draw several properties of Pythagorean triples from the tables and could prove them. In spreadsheets environments it is easy to give students chances of generalization of the properties of Pythagorean triples which they had obtained from the concrete table of Pythagorean triples.
손홍찬 ( Hong Chan Son ) 한국수학교육학회 2011 수학교육논문집 Vol.25 No.1
In this paper, we listed and discussed the properties of the Pythagorean triples which 5 gifted 9th graders could draw in spreadsheets environments. And we also discussed their implications. In detail, in spreadsheets environments students could make the table of Pythagorean triples easily under several conditions of generate numbers of Pythagorean triples. And they could draw several properties of Pythagorean triples from the tables and could prove them. In spreadsheets environments it is easy to give students chances of generalization of the properties of Pythagorean triples which they had obtained from the concrete table of Pythagorean triples.
중학교 수학 영재아의 수학적 정당화에 대한 인식과 특성에 관한 연구
홍영석,손홍찬,Hong, Yong-Suk,Son, Hong-Chan 한국학교수학회 2021 한국학교수학회논문집 Vol.24 No.3
This study identified the meaning of mathematical justification and its characteristics for middle school math gifted students. 17 middle school math gifted students participated in questionnaires and written exams. Results show that the gifted students recognized justification in various meanings such as proof, systematization, discovery, intellectual challenge of mathematical justification, and the preference for deductive justification. As a result of justification exams, there was a difference in algebra and geometry. While there were many deductive justifications in both algebra and geometry questionnaires, the difference exists in empirical justifications: there were many empirical justifications in algebra, but there were few in geometry questions. When deductive justification was completed, the students showed satisfaction with their own justification. However, they showed dissatisfaction when they could not deductively justify the generality of the proposition using mathematical symbols. From the results of the study, it was found that justification education that can improve algebraic translation ability is necessary so that gifted students can realize the limitations and usefulness of empirical reasoning and make deductive justification.
게임개발을 위한 팀 프로젝트 활동이 초등수학영재의 공동체배려와 조직관리능력 기술에 미치는 효과
황용원 ( Yong Won Hwang ),손홍찬 ( Hong Chan Son ) 한국수학교육학회 2015 초등수학교육 Vol.18 No.3
This study investigated the effect of team project activity for game making on the elementary mathematically gifted students’ community care and organizational management capacity. 7 mathematically gifted students of 4th grade are selected and participated. After 15 hours activities during 2 months of team project on game making, their community care and organizational management capacity were improved. This results suggested that leadership education is possible in mathematics curriculum for mathematics gifted students.
최민정 ( Choi Min Jeong ),손홍찬 ( Son Hong Chan ) 부산대학교 과학교육연구소 2016 교사교육연구 Vol.55 No.3
This study investigated the van Hiele levels of 86 high achievement students and 90 low achievement students from 5 middle schools from small and medium-sized cities in urban areas with the aim to provide suggestions to improve teaching and learning methods for low achievement students in mathematics. In this study, most low achievement students were at level 2 or below. Thus according to the van Hiele theory, the teacher must be careful in preparing teaching and learning materials when trying to enhance levels of the lower achievers. This study comments on different kinds of methods including recommendation for the use of dynamic geometry software in mathematics.