한국수학교육학회지시리즈D:수학교육연구 (Research in Mathematical Education)

  • 제15권1호
  • /
  • Pages.1-14
  • /
  • 2011
  • /
  • 1226-6191(pISSN)
  • /
  • 2287-9943(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
권호 표지
DOI QR코드

DOI QR Code

Representation Systems of Building Blocks in Logo-based Microworld

  • Lee, Ji-Yoon (Department of Mathematics Education, Seoul National University) ;
  • Cho, Han-Hyuk (Department of Mathematics Education, Seoul National University) ;
  • Song, Min-Ho (Korea Foundation for the Advancement of Science and Creativity) ;
  • Kim, Hwa-Kyung (Department of Mathematics Education, Sangmyung University)
  • 투고 : 2011.02.15
  • 심사 : 2011.03.25
  • 발행 : 2011.03.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

Logo has influenced many researchers and learners for the past decades as a 20 turtle geometry environment in the perspective of constructionism. Logo uses the metaphor of 'playing turtle' that is intrinsic, local and procedural. We, then, design an environment in which the metaphor of 'playing turtle' is applied to construct 3D objects, and we figure out ways to represent 3D objects in terms action symbols and 3D building blocks. For this purpose, design three kinds of representation systems, and asked students make various 3D artifacts using various representation systems. We briefly introduce the results of our investigation into students' cognitive burden when they use those representation systems, and discuss the future application measures and the design principles of Logo-based 3D microworld.

키워드

과제정보

연구 과제 주관 기관 : National Research Foundation of Korea Grant

참고문헌

  1. Abelson, H. & diSessa, A. (1980) Turtle geometry. Cambridge, MA: MIT Press. ME 1982a.00251
  2. Ackermann, E. K. (2004). Constructing knowledge and transforming the world. In: M. Tokoro and L. Steels (Eds.), A learning zone of one's own: Sharing representations and flow in collaborative learning environments, Amsterdam: IOS Press.
  3. Bruner, J. (1966). Towards a Theory of Instruction. NY: Norton.
  4. Christou, C.; Jones, K.; Pitta, D.; Pittalis, M.; Mousoulides, N. & Boytchev, P. (2007). Developing Student Spatial Ability with 3-Dimensional Applications. In: Congress of European Society for Research in Mathematics Education (Ed.), The 5th CERME Conference (CERME-5), held in Larnaka, Cyprus, February 22-26, 2007. http://www.elica.net/site/papers/papers.html
  5. Christou, C.; Pittalis, M.; Mousoulides, N.; Pitta, D.; Jones, K.; Sendova, E. & Boytchev, P. (2007). Developing an Active Learning Environment for the Learning of Stereometry. In: EuroLogo 2007. http://www.elica.net/site/papers/papers.html
  6. Gonzalez, E. G. & Kolers, P. A. (1982). Mental manipulation of arithmetic symbols. J. Exp. Psychol. Learn. Mem. Cogn. 8(4), 308-319. ME 1983f.07061 ERIC EJ270610 https://doi.org/10.1037/0278-7393.8.4.308
  7. Kafai, Y. & Resnick, M. (1996). Constructionism in practice. Mahwah, NJ: Lawrence Erlbaum Associates, Publishers.
  8. Kynigos, C. & Latsi, M. (2007). Turtle's navigation and manipulation of geometrical figures constructed by variable processes in a 3d simulated space. Inf. Educ. 6(2), 359-372. ME 2007f.00522
  9. Morgan, C. & Alshwaikh, J. (2008). Imag(in)ing three-dimensional movement with gesture: 'playing turtle' or pointing? In: M. Joubert, (Ed.), Proceedings of the British Society for Research into Learning Mathematics 28(3), 136-141. http://www.bsrlm.org.uk/IPs/ip28-3/BSRLM-IP-28-3-24.pdf
  10. National Council of Teachers of Mathematics (NCTM) (2000). Principles and standards for school mathematics. Reston,VA: NCTM. ME 1999f.03937 for discussion draft (1998)
  11. Norman, D. A. (1993). Things that make us smart: Defending human attributes in the age of the machine. New York: Perseus Books.
  12. Papert, S. (1980). Mindstorms: Children, computers, and powerful ideas. Brighton, UK: Harvester Press. ME 1982j.09086
  13. Resnick, M. (2008). Falling in love with Seymour's ideas. Presented at a Special Session of the 2008 American Educational Research Association Annual Meeting, New York. http://web.media.mit.edu/-mres/papers/AERA-seymour-final.pdf
  14. Resnick, M. & Silverman, B. (2005). Some reflections on designing construction kits for kids. In; Proceeding of interaction design and children conference, Boulder, CO (pp. 117-122). http://web.media.mit.edu/-mres/papers/IDC-2005.pdf

피인용 문헌

  1. 논리·비판적 사고 신장을 위한 로봇 프로그래밍의 수학교육 적용 방안 vol.53, pp.3, 2011, https://doi.org/10.7468/mathedu.2014.53.3.413