Communications of Mathematical Education (한국수학교육학회지시리즈E:수학교육논문집)

Korean Society of Mathematical Education (한국수학교육학회)
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A study on the understanding for the limit of sequence in high school students and the gender difference of concept image

고등학생의 수열의 극한에 대한 이해와 개념 이미지의 성차에 관한 연구

  • Received : 2025.05.02
  • Accepted : 2025.06.10
  • Published : 2025.06.30
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Abstract

In this study, 74 third-year high school students were surveyed for their understanding of the limits of sequences, and gender differences in concept images of the limit of sequences were analyzed. The results of developing a test tool based on previous research and applying it are as follows. First, when a constant expression is included in the sequence, the understanding of high school students is relatively lower than that of other questions. For example, there is a sequence in which infinite terms excluding finite number are constants and a sequence in which terms vibrating at the same interval as the constant term are combined. Second, the concept image about the convergence of sequences generally appeared in a form in which the concept of a fixed number and the concept of motion are combined, that is, 'get closer to one number'. On the other hand, the perception of the divergence of sequences appeared in various forms, that is, 'increases or decreases quantitatively'. Finally, this study considered the need to provide with various opportunities to reveal students' conceptual images and make logical judgments through communication in the teaching and learning process related to the limit of sequences.

이 연구에서는 고등학교 3학년 학생 74명을 대상으로 수열의 극한에 대한 이해도를 조사하고, 수열의 극한에 대한 개념 이미지에서의 성차를 분석하였다. 선행 연구를 토대로 검사 도구를 개발하고 이를 적용한 결과는 다음과 같다. 첫째, 수열에 상수 표현이 포함될 경우에 고등학생의 이해도가 다른 문항에 비해 상대적으로 낮았다. 예를 들면, 유한개를 제외한 무한개의 항이 상수인 수열과 상수항과 동일한 간격으로 진동하는 항이 결합된 수열을 들 수 있다. 둘째, 수열의 수렴에 대한 개념 이미지는 대체로 고정된 수의 개념과 운동 개념이 결합된 형태 즉, '하나의 수로 가까워진다.'로 나타났다. 반면, 수열의 발산에 대한 인식은 다양한 형태 즉, '양적으로 증가하거나 작아진다.'로 나타났다. 마지막으로 이러한 결과를 토대로 이 연구에서는 수열의 극한과 관련된 교수·학습 과정에서 의사소통을 통해 학생의 개념 이미지를 드러내고 논리적인 판단을 할 수 있도록 다양한 기회를 제공할 필요가 있다고 보았다.

Keywords

References

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