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http://dx.doi.org/10.30807/ksms.2021.24.2.003

The Effects of Graphics Representation of Trigonometry Modelling on Question Generating and Idea Sharing  

Yoon, Jae yeon (Gapyong High School)
Shin, Hyun sung (Kangwon University)
Publication Information
Journal of the Korean School Mathematics Society / v.24, no.2, 2021 , pp. 217-241 More about this Journal
Abstract
The purpose of this study is to qualitatively examine the effects of graphics representation of trigonometry modelling concerning question generating and idea sharing. The experimental setting(Experiment Group) was one class (N=26) at a public high school. The modelling process was designed as a process-oriented conceptualization divided into three steps i.e., (1) game with idea sharing and question generating, (2) graphic representation, and (3) symbolization in the mathematical applied tasks related to trigonometry function. The result indicates that Graphic Representation with Game Activity increases the opportunity of question generating and idea sharing during experimental work. Also, the results show that the introduction of computer graphics enhances the teaching of mathematical quantity in highschool classrooms.
Keywords
Computer Graphics; Mathematical Modelling; Modelling Tasks; Idea generating; Idea Sharing;
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1 Weber, K. (2005). Students' understanding of trigonometric functions. Mathematics Education Research Journal, 17(3), 91-112.   DOI
2 교육부. (2015). 개정교육과정 총론. 교육부. 고시 제2015-74호 서울: 교육부.
3 김부윤, 정영우. (2010). 삼각함수의 Mathematization에 관한 연구. East Asian mathematical journal. 26(4), 487-507.
4 신현성. (2021). 새수학운동에 대한 다양한 논의, 대한수학회 소식지 7월 서울: 대한수학회
5 신현성, 전영주. (2019). 유럽수학교육학회 정기발표회 주요내용소개. 대한수학회 소식지 7월. 서울: 대한수학회.
6 박민규. (1996). 중학교 수학에서 모델링 지도가 수학적 응용력에 미치는 영향. 한국교원대학교 대학원 석사학위 논문.
7 신현성. (1985). 수학적 문제해결 과정의 분석 및 풀이 방법의 탐색. 강원대학교 논문집, 제22집. 별책. 107-117.
8 장현석. (2020). 수학적 모델링 교수.학습에서 중학생들의 담화 분석. 학교수학, 23(1), 45-65.
9 최희선, 한혜숙. (2018). 수학적 모델링 기반 수업이 중학교 1학년 학생들의 수학적 문제제기 능력에 미치는 영향. 학습자중심교과교육, 18(14), 755-782.
10 Barbosa, J. C. (2006). Mathematical Modelling in classroom: A critical and discursive perspective. Zentralblatt fur Didaktik der Mathematik, 33(3), 293-301.   DOI
11 Blum, W. (1993). Mathematical Modelling in Mathematics Education and Instruction. Teaching and Learning Math. In Context, Edited by Breiteig.(etc.), Ellis Horwood Limited, Chichester.
12 Blum, W. & Leisss, D. (2005). "Filling Up" - the problem independence preserving teacher interventions in lessons with demanding modelling tasks. Proceedings of the 4th European Congress of Mathematics Education, Spain.
13 Eisenhart, M. A. (1991). Conceptual frameworks for research circa 1991 : Ideas from a cultural anthropologist : Implications for mathematics Education researchers. In R. G. Underhill(ED.), Proceedings of thirteenth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 202-219). Blacksburg, V. A: Division of Curriculum and Instruction, Virginia Polytechnic Institute and State University.
14 Jenkins, H., Clinton, K., Purushotma, R., Ronbinson, A. J., & Weigel, M. (2006). Confront Confronting the challenges of participatory culture : Media education for the 21st century. Chicago: IL: MacArthur.
15 Niss, M., Blum,W. & Galbraith, P. (2007). Introduction. In Blum, W., Galbraith, P. L. (Eds.), Modelling and Application in Mathematics Education. The 14th ICMI Study. New-York: Springer.
16 Dreyfus, T. (1990). Advanced mathematical thinking. In P. Nesher, & Kilpatrick (Eds.), Mathematics and cognition: A research synthesis by the International Group for the Psychology of Mathematics Education. England. : Cambridge University Press.
17 신현성, 전영주. (2017). 유럽수학교육학회 정기발표회 주요내용소개. 대한수학회 소식지 7월. 서울: 대한수학회.
18 강원도교육청 교사 심포지움. (2014). 수업시스템과 교실 환경을 혁신하기 위한 방안. 춘천: 강원 교육연구원.
19 Blum, W. et al (2008). On the Development of Mathematical Modelling Competencies-The Palma Longitudinal Study(1), ICME 2008, Mexico.
20 Dienes, Z. P. (1960). Building up mathematics. New York: Hutchinson Educational Ltd.
21 Erme. (2005). Proceedings of the 4th European Congress of Mathematics Education, Spain.
22 Erme. (2005). Discussion: Mathematical Modelling, Quantity, Problem Solving. Proceedings of the 4th European Congress of Mathematics Education, Spain.
23 Greer, B., Verschaffel, & Mukhopadhyay. (2007). Modelling for life:Mathematics and children's experience. In W. Blum, W. Henne, & M. Niss (Eds), Applications and modelling in mathematics drecht: Reidel.
24 Kaiser & Sriraman. (2008). Six perspectives on research in modelling and application. ICME 2008, Mexico.
25 Van Hiele, P. M. (1986). Structure and Insight. Theory of Mathematics Education. Academic Press Inc.
26 Lingefjard, T. (2005). Applied or pure mathematics. Proceedings of the 4th European Congress of Mathematics Education, Spain.
27 Norman, A. (1992). Teachers' mathematical knowledge of the concept of function. In G. Harel & E. Dubinsky (Eds.). The concepts of function : Aspects of epistemology and pedagogy. (MAA notes. Vol. 25). Washington, DC : Mathematical Association of America.
28 Pollak, H. (2008). The Realistic Perspective On Research in Modelling and Application-Key Reference, ICME 2008, Mexico.
29 Vinner, S. (1991). The role of definitions in the teaching and learning of mathematics. In D. T. all(Ed.) Advanced mathematical thinking. Dordrecht, The Netherlands: Kluwer.
30 Zawojewski, Judith S. (2007). Problem solving and Modelling. In F. Lester (Ed.). Second Handbook of Research on Math, teaching and learning. Reston, V. A. : National Council of Teachers of Mathematics
31 Thompson, P. W. (1985). Experience, Problem Solving, and Learning Mathematices : Consideration in Developing Mathematices Curricula. In Silver, E. A. (Eds.). Teaching and Learning Mathematical Problem Solving. New Jersey, Hill sate: Lawrence Erlbaum Associates Publishers.
32 Confrey, J., & Smith, E. (1991). A framework for function : Prototypes, multiple representations, and transformations. In R. G. Under hill. (ED.). Proceedings of thirteenth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education(Vol. 1, pp. 57-63). Blacksburg: Division of Curriculum and Instruction, Virginia Polytechnic Institute and State University.
33 Even, R. (1990). Subject matter knowledge for teaching and the case of functions.
34 Jordan, A. et al. (2008). On the development of mathematical modelling - The Palma Longitudinal Study(2), ICME 2008, Mexico.
35 Lombardi, D. F. (2008). From classroom to the real world. ICME 2008, Mexico.