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학업성취도에 따른 초등학교 6학년 학생들의 비례 추론 능력 및 전략 분석
엄선영 ( Sun Young Eom ),권혁진 ( Hyuk Jin Kwean ) 한국수학교육학회 2011 수학교육논문집 Vol.25 No.3
본 연구에서는 최근 초등 수학에서 중요시 되고 있는 비례 추론에 초점을 두고 비례 문제를 해결하는 과정에서 학생들의 학업성취도에 따른 비례 추론 능력과 비례 추론 전략 사용의 특징을 분석하였다. 이를 위하여 초등학교 6학년 173명을 대상으로 다양한 유형의 비례 문제를 제시하고 최대 세 가지 추론 전략을 사용하여 해결하도록 하였다. 그 결과 상위권 학생들이 하위권 학생들보다 다양한 비례 추론 전략을 활용하고, 표현하고, 인식하는 능력이 뛰어남을 알 수 있었다. 또한 학생들이 선호하는 비례 추론 전략은 학업성취도에 따라서는 별 차이를 보이지 않았으나 문제 유형과 문제에 제시된 숫자들의 비에 따라 차이가 있는 것으로 나타났다. 이를 통해 학생들의 학습 수준에 따른 능력 차이를 반영하여 적절한 비례적 추론 지도가 필요함을 알 수 있었다. This paper focuses on proportional reasoning being emphasized in today`s elementary math, and analyzes the way students use their proportional reasoning abilities and strategies according to their academic achievement levels in solving proportional problems. For this purpose, various types of proportional problems were presented to 173 sixth-grade elementary school students and they were asked to use a maximum of three types of proportional reasoning strategies to solve those problems. The experiment results showed that upper-ranking students had better ability to use, express and perceive more types of proportional reasoning than their lower-ranking counterparts. In addition, the proportional reasoning strategies preferred by students were shown to be independent of academic achievement. But there was a difference in the proportional reasoning strategy according to the types of the problems and the ratio of the numbers given in the problem. As a result of this study, we emphasize that there is necessity of the suitable proportional reasoning instruction which reflected on the difference of ability according to student`s academic achievement.
수학 영재의 창의적 문제해결 모델(MG-CPS)을 일반학생의 수학 학습에 적용한 사례연구
김수경 ( Su Kyung Kim ),김은진 ( Eun Jin Kim ),권혁진 ( Hyuk Jin Kwean ),한혜숙 ( Hye Sook Han ) 한국수학교육학회 2012 수학교육 Vol.51 No.4
This research is a case study of the change of students`s problem solving ability and affective characteristics when we apply to general students MG-CPS model which is creative problem solving model for gifted students. MG-CPS model which was developed by Kim and Lee(2008) is a problem solving model with 7-steps. For this study, we selected 7 first grade students from girl`s high school in Seoul. They consisted of three high level students, two middle level students, and two low level students and then we applied MG-CPS model to these 7 students for 5 weeks. From the study results, we found that most students`s describing ability in problem understanding and problem solving process were improved. Also we observed that high level students had improvements in overall problem solving ability, middle level students in problem understanding ability and guideline planning ability, and that low level students had improvements in the problem understanding ability. In affective characteristics, there were no significant changes in high and middle level classes but in low level class students showed some progress in all 6 factors of affective characteristics. In particular, we knew that the cause of such positive changes comes from the effects of information collection step and presenting step of MG-CPS model.