[논문]초등 수학교과서의 문제해결 역량 및 과제 유형 분석: 수와 연산 영역의 도전/생각 수학과 탐구 수학을 중심으로

여승현; 서희주; 한선영; 김진호

doi:10.7468/mathedu.2021.60.4.431

초등 수학교과서의 문제해결 역량 및 과제 유형 분석: 수와 연산 영역의 도전/생각 수학과 탐구 수학을 중심으로
Analysis of problem solving competency and types of tasks in elementary mathematics textbooks: Challenging/Thinking and inquiry mathematics in the domain of number and operation 원문보기

Journal of the Korean Society of Mathematical Education. Series A. The Mathematical Education, v.60 no.4, 2021년, pp.431 - 449

여승현 (앨러바마대학교) , 서희주 (성균관대학교) , 한선영 (성균관대학교) , 김진호 (대구교육대학교)

초록
AI-Helper

본 연구는 초등학교 교과서가 반영하고 있는 문제해결 양상을 수와 연산 단원들을 중심으로 살펴보았다. 문제해결의 하위요소를 중심으로 수학적 활동에 대해 코딩을 실시한 결과 실행이 강조되는 가운데 학년별로 강조되는 하위 요소들이 다르게 나타났고, 잠재집단분석을 통해서 과제의 유형을 분류해 보았다. 향후 교과서 개발과 교사지원에 대한 시사점을 제공하고자 한다.

Elementary mathematics textbooks present contents for enhancing problem solving competency. Still, teachers find teaching problem solving to be challenging. To understand the supports textbooks are suggesting, this study examined tasks from the challenging/thinking and inquiry mathematics. We analyzed 288 mathematical activities based on an analytic framework from the 2015 revised mathematics curriculum. Then, we employed latent class analysis to classify 83 mathematical tasks as a new approach to categorize tasks. As a result, execution of the problem solving process was emphasized across grade levels but understanding of problems was varied by grade levels. In addition, higher grade levels had more opportunities to be engaged in collaborative problem solving and problem posing. We identified three task profiles: 'execution focus', 'collaborative-solution focus', 'multifaceted-solution focus'. In Grade 3, about 80% of tasks were categorized as the execution profile. The multifaceted-solution was about 40% in the thinking/challenging mathematics and the execution profile was about 70% in Inquiry mathematics. The implications for developing mathematics textbooks and designing mathematical tasks are discussed.

주제어

표/그림 (16)

표 [Table 1] The domain of number and operation in textbooks
그림 [Fig. 1] Sample of tasks and mathematical activities
표 [Table 2] Units of analysis
표 [Table 3] Analytic framework
표 [Table 4] Model fit by the number of latent classes
그림 [Fig. 2] A sample task concentrated on 'Look back'(MOE, 2019f, p. 46)
표 [Table 5] Frequency and percentage of mathematical activities regarding problem solving process
표 [Table 6] Frequency and percentage of mathematical activities regarding collaborative problem solving
그림 [Fig. 3] Probability graph of problem solving components by mathematical task profile
표 [Table 8] Probability of problem solving components by mathematical task profile
표 [Table 7] Frequency and percentage of mathematical activities regarding problem posing
그림 [Fig. 5] An example of collaborative-solution-focus task profile(MOE, 2019a, pp. 22-23)
그림 [Fig. 4] An example of execution-focus task profile(MOE, 2019c, p. 81)
그림 [Fig. 6] An example of multifaceted-solution-focus task profile(MOE, 2019e, pp. 42-43)
표 [Table 9] Task profiles by grade levels
표 [Table 10] Task profiles by activities

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저자의 다른 논문 :

표제어: PCR

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용어 설명: PCR은 세균 특이성이 있는 primer를 이용하여 적은 수의 세균이 있을지라도 쉽게 검출할 수 있는 유용한 방법이며, 이를 이용하여 구강 내 치면세균막이나 타액에서 직접 세균을 검출할 수 있게 되었다[8].

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