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http://dx.doi.org/10.30807/ksms.2022.25.1.003

Development of mobile, online/offline-linked math learning content to promote group creativity  

Kim, Bumi (Wonkwang University)
Publication Information
Journal of the Korean School Mathematics Society / v.25, no.1, 2022 , pp. 39-60 More about this Journal
Abstract
In this study, in order to support the expression of group creativity of high school students, we developed mathematics learning contents linked with mobile and online/offline that obtain the maximum and minimum values of the function within a limited range. This learning content was developed in connection with the 'environment', a cross-curricular learning topic. We explored the concept of group creativity in school mathematics. Its manifestation process, elements of group creativity expression process, and mobile and on/offline implementation functions were also explored. Then, we developed a hybrid app, 'Making the Best Box that Thinks of the Earth', which can express group creativity through mobile and online/offline-linked cooperative learning. A learning management system (LMS) and a teaching and learning guidance plan were also developed to efficiently operate mobile and online/offline-linked math learning using the app in schools. Our study found that the hybrid app, 'Creating the Best Box that Thinks of the Earth', was suitable for promoting collective fluency and collective sophistication based on complementary-metacognitive interaction.
Keywords
Group Creativity; Mobile Application; Relative Maximum.Relative Minimum of a Function; Interaction;
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1 교육부 (2021). 2022 개정 교육과정 '총론 주요사항 발표- 더 나은 미래, 모두를 위한 교육-. 교육부 보도자료(2021.11.24. 배포).
2 김민경, 이지영(2020). 체화된 인지 관점의 수학 중심 융합 수업에서 나타난 초등학생의 집단창의성 발현에 관한 연구. 학습자중심교과교육연구 20(11), 1257-1287.
3 김부미(2012). 우리나라의 ICT 환경 기반 수학 학습 현황 분석. 교과교육학연구, 16(3), 657-687.   DOI
4 김부미(2017). 모바일 기반 수학 학습 어플리케이션 개발 및 활용 방안. 학교수학, 19(3), 593-615.
5 김부미(2018). 모바일, 온/오프라인 연계수학 학습에서 집단창의성 발현을 위한 과제 특성. 수학교육학 논총, 52, 159-161.
6 Song, D. & Kim, P. (2015). Inquiry-based mobilized math classroom with Stanford mobile inquiry-based learning environment(pp.33-46), In H. Crompton & J. Traxler (Eds.). Mobile learning and mathematics: Foundations, Design, and Case studies. Routledge.
7 김부미(2019). 집단창의성 발현을 위한 수학 학습 어플리케이션 개발. 수학교육학논총, 54, 55-56.
8 Heid, M. K. (2018). Digital Tools in Lower Secondary School Mathematics Education: A Review of Qualitative Research on Mathematics Learning of Lower Secondary School Students. In Ball, L., Drijvers, P., Ladel, S., Siller, H-S., Tabach, M., & Vale, C. (Eds.). Uses of Technology in Primary and Secondary Mathematics Education. ICME-13 Monographs. Springer.
9 Kluth, V. S. (2020). Phenomenological Study of a Digital Simulator of the Sine Function Contextualized in a Teaching and Learning Activity. In Viggiani Bicudo, M. A. (Ed.), Constitution and Production of Mathematics in the Cyberspace, Springer.
10 Merrotsy, P. (2017). Pedagogy for creative problem solving. Routledge.
11 김부미, 이종희(2012). 미래 수학 교실 기준과 수업 모형의 개발. 한국학교수학회논문집, 15(4), 673-698.
12 김영채, 정세영, 정혜인(2021). CPS 창의적 문제해결. 박영사.
13 성지현(2017). 수학영재학급 학생들의 집단창의성 발현 과정 연구. 이화여자대학교 대학원 박사학위논문.
14 성지현, 이종희(2017a). 수학 영재의 집단창의성 발현 모델 개발. 수학교육학연구, 27(3), 557-580.
15 성지현, 이종희(2017b). 수학영재의 집단창의성 발현에서 나타나는 산출 및 과정 손실 분석. 한국초등 수학교육학회지, 21(3), 505-530.
16 정혜윤, 이경화(2018). 수학적 모델링에서 집단창의성 발현사례. 수학교육, 57(4), 371-391.
17 정혜윤, 이경화(2019a). 집단창의성 발현을 위한 수학적 모델링 수업의 설계. 수학교육학연구, 29(1), 157-188.
18 Emre-Akdogan, E. & Yazgan-Sag, G. (2018). Ancient school without walls: Collective creativity in the mathematics village. In Freiman, V., & Tassell, J. L. (Eds.), Creativity and Technology in Mathematics Education, Mathematics Eudcation in the Digital Era 10, Springer.
19 Bokhove, C., & Drijvers, P. (2012). Effects of a digital intervention on the development of algebraic expertise. Computers & Education, 58(1), 197-208.   DOI
20 Cobb, P., Confrey, J., diSessa, A., Lehrer, R., & Schauble, L. (2003). Design experiments in educational research. Educational Researcher, 32(1), 9-13.   DOI
21 Ozuun-Koca, S. A., & Edwards, T. G. (2015). Students' mathematical conjectures within interacting with a mobile device(pp.150-163). In H. Crompton, & J. Traxler (Eds.), Mobile learning and mathematics: Foundations, Design, and Case studies. Routledge.
22 Pelton, T., Milford, T., & Pelton L. F. (2018). Developing Mastery of Time Concepts by Integrating Lessons and Apps. In Calder, N., Larkin, K., & Sinclair, N. (Eds.), Using Mobile Technologies in the Teaching and Learning of Mathematics, Mathematics Education in the Digital Era 12, Springer.
23 Randall, S. D., Douglas, L. D. & Nick, B. (2013). Flipping the classroom and instructional technology integration in a college-level information systems spreadsheet course. Education Tech Research, 61(4), 563-580.   DOI
24 Richards, R. (2014). 교실에서의 일상적 창의성: 일곱 가지 제안과 함께하는 시간여행. R. A. Beghetto, & J. C. Kaufman 편저, 교실에서의 창의성 교육 (pp. 309-354) (이경화, 김명숙, 김정희, 김혜진, 박숙희, 성은현, 윤초희, 이명숙, 최병연, 태진미 역). 서울: 학지사, (원저 2019년 출판).
25 Rosa, M., & Pinheiro R. P. (2020). Cybereducation with Mathematics Teachers: Working with Virtual Reality in Mathematics Activities. In Viggiani Bicudo, M. A. (Ed.), Constitution and Production of Mathematics in the Cyberspace, Springer.
26 Suh, J. M., Matson, K.., & Seshaiyer, P. (2017). Engaging elementary students in the creative process of mathematizing their world through mathematical modeling. Education Sciences, 7(2), 62.   DOI
27 Sawer, R. K. (2012). Group creativity. In R. K. Sawyer (Ed), Explaning creativity: The science of human innovation account. (pp. 231-248). New York: Oxford University Press.
28 Sedaghatjou, M., & Rodney, S. (2018). Collaborative Engagement Through Mobile Technology in Mathematics Learing(pp.113-129). In Calder, N., Larkin, K., & Sinclair, N. (Eds.), Using Mobile Technologies in the Teaching and Learning of Mathematics, Mathematics Education in the Digital Era 12. Springer.
29 Sommerauer, P., & Mulller, O. (2014). Augmented reality in informal learning environments: A field experiment in a mathematics exhibition. Computers and Education, 79, 59-68.   DOI
30 Tapscott, D., & Williams, A. D. (2008). Wikinomics: How mass collaboration changes everything. USA: Penguin Group.
31 Greefrath, G., Hertlief, C. & Siller, H. (2018). Mathematical modelling with digital tools-a quantitative study on mathematising with dynamic geometry software, ZDM 50(1), 1-12.   DOI
32 dos Santos, M. R. (2020). Resource and Website Developers for Teaching Mathematics on the Internet. In Viggiani Bicudo, M. A. (Ed.), Constitution and Production of Mathematics in the Cyberspace, Springer.
33 Attard, C. (2018). Mobile technologies in the primary mathematics classroom: Engaging or not(pp.51-65). In Calder, N., Larkin, K., & Sinclair, N. (Eds.), Using Mobile Technologies in the Teaching and Learning of Mathematics, Mathematics Education in the Digital Era 12. Springer.
34 Bokhove, C., Clark-Wilson, A., & Pittalis, M. (2018). Augmenting Mathematics with Mobile Technology. In Calder, N., Larkin, K., & Sinclair, N. (Eds.), Using Mobile Technologies in the Teaching and Learning of Mathematics, Mathematics Education in the Digital Era 12, Springer.
35 Calder, N., & Murphy, C. (2018). How Might Apps Reshape the Mathematical Learing Experience?(pp. 31-50). In Calder, N., Larkin, K., & Sinclair, N. (Eds.), Using Mobile Technologies in the Teaching and Learning of Mathematics, Mathematics Education in the Digital Era 12. Springer.
36 Greefrath, G., & Siller, H-S. (2018). GeoGebra as a Tool in Modelling Processes(pp.363-374). In Ball, L., Drijvers, P., Ladel, S., Siller, H-S., Tabach, M., & Vale, C. (Eds.). Uses of Technology in Primary and Secondary Mathematics Education. ICME-13 Monographs. Springer.
37 Kurtzberg, T., & Amabile, T. M. (2000-2001). From Guilford to creative synergy: Opening the black box of team-level creativity. Creativity Research Journal, 13(3-4), 285-294.   DOI
38 Moyer-Packenham, P. S., & Bolyard, J. J. (2016). Revisiting the definition of a virtual manipulative. In P. Moyer-Packenham (Ed.), International perspectives on teaching and learning mathematics with virtual manipulatives, New York: Springer.
39 Vidakovic, D., Dubinsky, E., & Weller K. (2018). APOS Theory: Use of Computer Programs to Foster Mental Constructions and Student's Creativity. In Freiman, V., & Tassell, J. L. (Eds.), Creativity and Technology in Mathematics Education, Mathematics Eudcation in the Digital Era 10, Springer.
40 Pepin, B., Choppin,J., Ruthwen, K., & Sinclair, N. (2017), Digital curriculum resources in mathematics education: foundations for change, ZDM 49(5), 645-661.   DOI
41 Vorholter, K. (2018). Conceptualization and measuring of metacognitive modelling competencies: Empirical verification of theoretical assumption. ZDM, 50(1-2), 343-354.   DOI
42 Watson, J., & Fitzallen, N. (2016). Statistical software and mathematics education: Affordance for learning(pp.563-594), In L. D. English, & D. Kirshner (Eds.). Handbook of international research in mathematics education(the 3rd edition). Routledge.
43 Wilson, S. G. (2013). The flipped class: A method to address the challenges of an undergraduate statistics course. Teaching of Psychology, 40(3), 193-199.   DOI
44 Daher, W. (2010). Building mathematical knowledge in an authentic mobile phone environment. Australasian Journal of Educational Technology, 26(1), 85-104.   DOI
45 Flores, A., Park, J., & Bernhardt, S. A. (2018), Interactive Technology to Foster Creativity in Future Mathematics Teachers. In Freiman, V., & Tassell, J. L. (Eds.), Creativity and Technology in Mathematics Education, Mathematics Eudcation in the Digital Era 10, Springer.
46 정혜윤, 이경화(2019b). 중학교 3학년 학생의 일상 수업에서 집단 창의성 발현을 통한 수학적 모델링 활동 지원 사례 연구. 한국학교수학회논문집, 22(2), 133-161.   DOI
47 Zhou, C., & Luo, L. (2012). Group creativity in learning context: Understanding in a social-cultural framework and methodology. Creative Education, 3(4), 392-399.   DOI
48 Gulkilik, H. (2020). The Role of Virtual Manipulatives in High School Students' Understanding of Geometric Transformations. In Moyer-Packenham, P. S. (Ed.), International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives, Mathematics Education in the Digital Era 7, Springer.
49 Treffinger, D. J., Isaksen, s. G., & Firestien, R. L. (1982). Handbook of creative learning. Wlliamsville, NY: Center for Creative Learning.
50 Vorholter, K. (2019). Enhancing metacognitive group strategies for modelling. ZDM, 51, 703-716.   DOI
51 Daher, W., & Baya'a, N. (2012). Characteristics of middle school students' learning action in outdoor mathematical activities with the cellular phone. Teaching Mathematics Applications, 31(3), 133-152.   DOI
52 Soldano, C., & Arzarello, F. (2018). Approaching Secondary School Geometry Through the Logic of Inquiry Within Technological Environments. In Calder, N., Larkin, K., & Sinclair, N. (Eds.), Using Mobile Technologies in the Teaching and Learning of Mathematics, Mathematics Education in the Digital Era 12. Springer.