중학교 삼각비 단원 과제의 수학적 연결성 구성요소 분석 및 교사의 인식과 실천적 방안 조사
Analysis of mathematical connection components of the trigonometric ratio tasks in middle school and survey of teachers’ perceptions and practical measures
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본 연구의 목적은 2015 개정 수학과 교육과정의 중3 교과서 삼각비 단원에 포함된 과제의 수학적 연결성 구성요소를 분석하고 이에 대한 교사의 인식 및 실천적 방안을 조사하는 것이다. 이를 위하여 중학교 3학년 수학교과서 9종을 대상으로 삼각비 단원에 포함된 수학적 연결성 과제의 특징을 분석하고, 이에 대한 인식과 실천적 방안을 조사하기 위해 예비 연구에서 현직 수학 교사 1인, 본 연구에서 현직 수학 교사 2인을 대상으로 설문지 조사와 인터뷰를 진행하였다. 연구 결과, 중학교 3학년 삼각비 단원에서는 외적 연결성의 과제가 내적 연결성의 과제보다 적은 것으로 나타났다. 또한 교사의 인식 및 실천적 방안에서는 교사의 관점에 따라 과제에 포함된 수학적 연결성에 대한 분석이 다르게 나타났으며, 이에 따른 실천적 방안 또한다양하게 나타났다. 이러한 연구 결과는 학생들의 효과적인 수학적 연결성 함양을 위해 수학 과제, 교사의 인식, 교사의 실천적 방안 사이의 관계성을 밝혔다는 점에서 의의가 있다고 볼 수 있다.
Abstract
The purpose of this study is to analyze the mathematical connection components of the tasks included in the trigonometric ratio unit of 3rd grade middle school textbook based on the 2015 revised mathematics curriculum and investigate teachers' perceptions and practical measures regarding these components. To this end, we analyzed the characteristics of mathematical connection tasks included in the trigonometric ratio units in nine types of 3rd grade middle school mathematics textbooks, and we conducted a questionnaire survey and interviews with one inservice math teachers in pre interview and with two in-service math teachers in this interview to investigate their perceptions and practical measures. As a result of the study, the number of tasks with external connection in the trigonometric ratio unit were less than those of internal connection. In addition, in terms of teachers' perceptions and practical measures, the perspective of analyzing tasks with mathematical connections varied depending on the teacher's perspective, and the practical measures varied accordingly. These findings are significant in that they reveal the relationship between mathematical tasks, teacher perceptions and measures to foster effectively students' mathematical connections.
참고문헌 (38)
- Ahn, S. J., "Analysis of the 2009 revised second-grade middle school mathematics textbook in terms of mathematical connectivity: Focusing on the areas of letters and expressions", Master, pp.2009
- Cho, M., "External connections in middle school mathematics", Master, pp.1999
- Chu, Y. J., "Analysis of geometric areas in third-grade middle school textbooks and development of lesson plans from an empiricist perspective", Master, pp.2015
- Doyle, W., "Academic Work", Review of Educational Research, 53(2), pp.159~199 (1983)[DOI]
- Gang, M. N, "Analysis of external connectivity in the geometry domain of third grade middle school mathematics textbooks according to the 2009 revised curriculum", Master, pp.2009
- Gang, Y. G., "Middle school mathematics 3" (2021), Doosan Donga
- Gang, Y. H., "Analysis of first-year middle school mathematics textbooks based on external connections to mathematics", Master, pp.2016
- Go, H. G., "Middle school mathematics 3" (2021), Kyohaksa
- Graneheim, U. H., "Qualitative content analysis in nursing research : Concepts, procedures and measures to achieve trustworhiness", Nurse Education Today, 24(2), pp.105~112 (2004)[DOI]
- Guba, E., "Fourth generation evaluation" (1989), SAGE Publications
- Han, A. R., "Analysis of mathematical connectivity in the geometry area of third grade middle school mathematics", Master, pp.2012
- Hsieh, H. F., "Three approaches to qualitative content analysis", Qualitative Health Research, 15(9), pp.1277~1288 (2005)[DOI]
- Hwang, S. Y., "Middle school mathematics 3" (2021), Mirae-n
- Jang, G. Y., "Middle school mathematics 3" (2021), Jihaksa
- Kim, J. H., "Analysis of high school mathematics textbooks from the perspective of mathematical connectivity: Focusing on the complex numbers unit", Master, pp.2012
- Kim, J. Y., "Analysis of first-year high school mathematics textbooks from the perspective of formal aspects of mathematical connectivity", Master, pp.2019
- Kim, M. G., "Analysis of external connectivity between letters and expressions in first-year middle school textbooks according to the 2015 revised mathematics curriculum", Master, pp.2015
- Kim, S. M., "Analysis of the 2015 revised 2nd grade middle school mathematics textbook on mathematical connectivity", Master, pp.2015
- Kim, W. G., "Middle school mathematics 3" (2021), Visang
- Kim, Y. K., "A survey of elementary school teachers’ perceptions and actual conditions regarding the implementation of mathematical connectivity", The Korean School Mathematic Society, 16(3), pp.601~620 (2013)
- Lee, J. H., "Research into mathematical connectivity : Connections between mathematics and art", Curriculum Pdagogy Research, 3(2), pp.147~160 (1999)
- Lee, J. H., "Secondary mathematics teachers’ perceptions and practical concerns regarding mathematics subject competency", Master, pp.2019
- Lee, J. Y., "Analysis of high school mathematics textbooks from the perspective of mathematical connectivity: Focusing on the complex numbers unit", Master, pp.2021
- Lee, J. Y., "Middle school mathematics 3" (2021), Genius education
- Lee, S. H., "Analysis of geometry tasks in middle school mathematics textbooks from the perspective of reasoning competency and creative convergence competency: Focusing on the 2009 revised curriculum and the 2015 revised curriculum", Master, pp.2015
- Lee, Y. J., "Analysis of first-year high school mathematics textbooks from the perspective of mathematical connectivity", Master, pp.2019
- , 2015
- , 2022
- NCTM, "Curriculum and evaluation standards for school mathematics", NCTM, ~ (1989)
- Park, G. S., "Middle school mathematics 3" (2021), Doosan Donga
- Park, S. G., "Analysis of the 2015 revised curriculum high school mathematics textbook from the perspective of mathematical connectivity: Focusing on the function section", Master, pp.2015
- Ru, H. C., "Middle school mathematics 3" (2021), Genius education
- Sin, Y. L., "Analysis of high school mathematics Ⅱ textbook from the perspective of mathematical connectivity", Master, pp.2020
- Stein, M. K., "Second handbook of research on mathematics teaching and learning", pp.319~369 (2007), Information Age
- Tirole, J., "One great mind, three great question: The secret of the platform empire" (2022), Educational broadcasting system
- Um, G. H., "Analysis of the 2015 revised middle school mathematics textbook from the perspective of mathematical connectivity: Focusing on the sections on equations, inequalities and functions", Master, pp.2015
- Yu, B. A, "Analysis of the 2009 revised second-grade middle school mathematics textbook from the perspective of mathematical connectivity: Focusing on external connectivity", Master, pp.2009