[논문]비와 비율에 대한 한국과 싱가포르 초등학교 수학 교과서 비교 분석

이지영; 서은미

doi:10.7468/mathedu.2022.61.3.499

비와 비율에 대한 한국과 싱가포르 초등학교 수학 교과서 비교 분석
A comparative analysis on ratio and rate in elementary mathematics textbooks of Korea and Singapore 원문보기

Journal of the Korean Society of Mathematical Education. Series A. The Mathematical Education, v.61 no.3, 2022년, pp.499 - 519

이지영 (송신초등학교) , 서은미 (조암초등학교)

초록
AI-Helper

본 연구는 비와 비율에 대한 한국과 싱가포르의 관점을 비교·분석하고 두 나라의 교수·학습 방법이 어떻게 전개되는지를 양적 추론의 측면에서 탐색하였다. 연구 결과 교과서에 제시된 문제 상황, 단위의 유형, 단위 사용 방법, 두 양의 종류와 관계 및 표현 방법 등 전반적으로 많은 차이가 나타났다. 이를 통해 한국과 싱가포르는 비와 비율에 대한 서로 상이한 관점을 취하고 있으며, 특히 한국은 다른 선행연구와는 구분되는 독특한 관점을 취하고 있다는 것을 알 수 있었다. 이를 바탕으로 비와 비율과 관련된 교과서와 교수·학습 방법의 개선을 위한 시사점을 제안하였다.

Abstract ▼ AI-Helper

Ratio and rate are key topics in the area of 'Patterns', but there are various perspectives on them. This study compared and analyzed the perspectives of Korean and Singaporean mathematics textbooks on ratio and rate, and explored how teaching and learning methods develop according to each perspective in terms of quantitative reasoning. To this end, we reorganized the analysis criteria based on some studies, and analyzed the textbooks of the two countries in relation to context, relationship, and representation. The results of the study are as follows. Regarding the context, there were differences in the situations, types of units and use of units of the problems presented in textbooks. In terms of relationship, there were differences in the types of two quantities and relationship of quantities. Lastly, there were differences in the representation of ratio and rate. Through these results, we found that elementary mathematics textbooks in Korea and Singapore take different perspectives on ratio and rate. In particular, the perspective taken by Korean textbooks on ratio and rate had unique points different from that of other previous studies. Considering this Korean perspective, we suggested some implications that could help improve textbooks related to ratio and rate and teach them meaningfully.

주제어

표/그림 (14)

표 Table 1. Perspectives on ratio and rate
표 Table 2. Analytic foci
표 Table 3. Explanation of ratio, rate and percentage in Korean and Singaporean textbooks.
표 Table 4. Development of ratio, rate and percentage in Korean textbooks
그림 Figure 1. Main activites of 6-1-4. 비와 비율 (MOE, 2022a, pp. 74, 76)
그림 Figure 2. Main activites of 6-1-4. 비와 비율 (MOE, 2022a, pp. 78, 80)
$Figure 3. Expressing a fraction as a percentage (MOE, 2022a, p. 83)$ 그림 Figure 3. Expressing a fraction as a percentage (MOE, 2022a, p. 83)
표 Table 5. Development of ratio, rate and percentage in Singaprean textbooks.
그림 Figure 4. Main activites of 5A-7. Ratio (Kheong et al., 2017a, pp. 119-122)
그림 Figure 5. Main activites of 5A-7. Ratio (Kheong et al., 2017a, pp. 124-125)
그림 Figure 6. Main activites of 6A-3. Ratio (Kheong et al., 2018a, p. 69)
그림 Figure 7. Main activities of 5B-10. Percentage (Kheong et al., 2017b, pp. 55, 60)
그림 Figure 8. Main activities of 5B-12. Rate (Kheong et al., 2017b, p. 86)
그림 Figure 9. Main activites of 6B-7. Speed (Kheong et al., 2018b, p. 8)

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상세보기
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원문보기 상세보기
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