한국과 미국 중학교 교과서의 통계 영역 수학과제가 제시하는 통계적 추론에 대한 학습기회 탐색
How middle-school mathematics textbooks of Korea and the US support to develop students’ statistical reasoning
0
조회
0
다운로드
15
인용
0
참고문헌
키워드
초록
This study attempts to examine statistical tasks in the middle-school mathematics textbooks of Korea and Connected Mathematics 3 [CMP] of the US in terms of an opportunity-to-learn for statistical reasoning. We utilized an analytical framework consisting of types of context, statistical reasoning level, cognitive demand of the tasks, and types of student response. The findings from the task analysis suggested that Korean textbooks focused on finding answers by applying previously learned algorithms or formulas and thus provided students with very limited opportunities to experience statistical reasoning. Also, the results proposed that the mathematical tasks in statistics unit of CMP3 offer more essential and complex tasks that promote students’ conceptual understanding of various statistical ideas and statistical reasoning in a meaningful way.
Abstract
This study attempts to examine statistical tasks in the middle-school mathematics textbooks of Korea and Connected Mathematics 3 [CMP] of the US in terms of an opportunity-to-learn for statistical reasoning. We utilized an analytical framework consisting of types of context, statistical reasoning level, cognitive demand of the tasks, and types of student response. The findings from the task analysis suggested that Korean textbooks focused on finding answers by applying previously learned algorithms or formulas and thus provided students with very limited opportunities to experience statistical reasoning. Also, the results proposed that the mathematical tasks in statistics unit of CMP3 offer more essential and complex tasks that promote students’ conceptual understanding of various statistical ideas and statistical reasoning in a meaningful way.
참고문헌 (40)
- 강옥기, "중학교 수학 3" (2014), 동아
- 고상미, "통계적 소양의 관점에서 살펴본 중학교 3학년 통계단원 문항 분석", 학교수학, 19(4), pp.731~749 (2017), 대한수학교육학회
- "교육부", 2015
- 권지현, "중학교 수학 교과서에 제시된 기하영역의 수학 과제 분석", 수학교육, 52(1), pp.111~128 (2013), 한국수학교육학회
- 김구연, "중학교 수학교과서가 학생에게 제공하는 함수 학습기회 탐색", 학교수학, 19(2), pp.289~317 (2017), 대한수학교육학회
- 김구연, "수업지도안 분석을 통한 수학교사의 수업설계역량(Pedagogical Design Capacity) 탐색", 수학교육, 56(4), pp.365~385 (2017), 한국수학교육학회[DOI]
- 김미희, "고등학교 교과서의 수학과제 분석", 학교수학, 15(1), pp.37~59 (2013), 대한수학교육학회
- 김민혁, "수학교사의 교과서 및 교사용 지도서 활용도 조사", 학교수학, 15(3), pp.503~531 (2013), 대한수학교육학회
- 김원, "담론적 관점에서 그래프 해석에 대한 분석틀 재구성 및 적용-우리나라 수학 교과서와 미국 CMP 교과서 중심으로-", 수학교육, 57(4), pp.433~452 (2018), 한국수학교육학회[DOI]
- 박교식, "중학교 수학 1" (2018), 동아출판
- 신항균, "중학교 수학 3" (2014), 지학사
- 장경윤, "중학교 수학 1" (2018), 지학사
- 전미현, "예비교사들의 지식(MKT) 측정 및 분석 연구", 수학교육학연구, 25(4), pp.691~715 (2015), 대한수학교육학회
- 정영옥, "수학 교육과정 국제 비교 분석 연구 - 미국, 싱가포르, 영국, 일본, 호주의 중학교와 고등학교 교육과정을 중심으로 -", 수학교육학연구, 26(3), pp.371~402 (2016), 대한수학교육학회
- 홍창준, "중학교 함수 단원의 수학과제 분석", 학교수학, 14(2), pp.213~232 (2012), 대한수학교육학회[DOI]
- Ben-Zvi, D., "The challenge of developing statistical literacy, reasoning and thinking", pp.3~15 (2004), Kluwer
- Cain J. S., "An evaluation of the Connected Mathematics Project", Journal of Educational Research, 95(4), pp.224~233 (2002)
- Charalambous, C. Y., "A comparative anlysis of the addition and subtraction of fractions in textbooks from three countries", Mathematical thinking and learning, 12, pp.117~151 (2010)
- Davies, N., "Assessment methods in statistical education: An international perspective", pp.3~19 (2010), John Wiley &Sons
- DelMas, R. C., "Statistical literacy, reasoning, and learning: A commentary", Journal of Statistics Education, 10(3) (2002)
- Franklin. C. A., "The GAISE Project: Developing statistics education guidelines for grades Pre-K-12 and college courses" (2006), National Council of Teachers of Mathematics
- Graumann, G., "Real-world problems for secondary school mathematics students: Case studies", pp.113~122 (2011), Sense Publishers
- Haggarty, L., "An investigation of mathematics textbooks and their use in English, French and German classroom: Who gets an opportunity to learn what?", British Educational Research Journal, 28(4), pp.567~590 (2002)
- Jolliffe, F., "Assessment Methods in Statistical Eduction: An International Perspective", pp.71~74 (2010), John Wiley & Sons
- Kader, G. D., "Developing essential understanding of statistics for teaching mathematics in grades 6-8" (2013), National Council of Teachers of Mathematics
- Lappan, G., "Connected Mathematics3; Grade 7" (2014), Pearson
- Lappan, G., "Connected mathematics 3; grade 8" (2014), Pearson
- Lavine, N. C., "Statistical reasoning of middle school children engaged in survey inquiry", Contemporary Educational Psychology, 32(4), pp.630~666 (2007)
- Muller, E., "Modeling and applications in mathematics education: The 14th ICMI study", pp.267~274 (2007), Springer
- National Council of Teachers of Mathematics, "Curriculum and evaluation standards for school mathematics" (2000), National Council of Teachers of Mathematics
- National Council of Teachers of Mathematics, "Principles to actions: Ensuring mathematical success for all" (2014), National Council of Teachers of Mathematics
- IASE study, "Teaching statistics in school mathematics-challenges for teaching and teacher education: A joint ICMI", pp.2011, Pfannkuch, M.
- Reys, B. J., "Why mathematics textbooks matter", Educational Leadership, pp.61~66 (2004)
- Reys, R. E, "Assessing the impact of Standard-based middle grades mathematics curriculum materials on student achievement", Journal for Research in Mathematics Education, 34, pp.74~95 (2003)
- Schield, M., "Assessment Methods in Statistical Eduction: An International Perspective", pp.134~152 (2010), John Wiley & Sons
- Senk, S. L., "Standards-based school mathematics curricula: What are they? What do students learn?", pp.181~191 (2003), Lawrence Erlbaum
- Smith, M. S., "Selecting and creating mathematical tasks : from research to practice", Mathematics Teaching in the Middle School, 3, pp.344~350 (1998)
- Stein, M. K., "Instructional tasks and the development of student capacity to think and reason : An analysis of the relationship between teaching and learning in a reform mathematics project", Educational Research and Evaluation, 2, pp.50~80 (1996)
- Stein, M. K., "Implementing standards-based mathematics instruction" (2000), National Council of Teachers of Mathematics
- Wijaya, A., "Opportunity-to-learn context-based tasks provided by mathematics textbooks", Educational Studies in Mathematics, 89, pp.41~65 (2015)
