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공간 능력과 공간 기하적 사고에서 SketchUp활용의 효과 -중학교 1학년 입체도형의 측정 단원을 중심으로-

The impact of Google SketchUp on spatial ability and 3D geometric thinking of 7th grade students in volume measurement of solid figures

  • 투고 : 2013.07.15
  • 심사 : 2013.11.12
  • 발행 : 2013.11.30

초록

The purpose of the study is to examine how effects of activities using Google SketchUp on students' spatial ability and 3D geometric thinking in measuring the volume of solid figures. By comparing the results from pre- and post-tests between the experimental group and control group, we found that activities using Google SketchUp help students improve their spatial ability in the spatial orientation and visualization. In addition, more than half students in the experimental group moved from level 4 up to level 7 in thinking process of measuring the volume in terms of Battista(2004)'s levels. This study suggests that the instruction with Google SketchUp can help to improve students' spatial ability and 3D geometric thinking in the regular class in middle school. In addition, SketchUp can be an advanced technological tool to support students' self-directed learning, which create an efficient educational environment and a great opportunity to learn geometry in an effective manner.

키워드

참고문헌

  1. 고상숙, 정인철, 박만구 (2009). 교구를 활용한 중학교 공간능력 향상을 위한 수업에서 학습의 효과, 수학교육 48(1), 1-20.(Choi-Koh, S. S., Jung, I., Park, M. (2009). An Effect of Students' Learning for Spatial Ability Using a Geometric Manipulative, The mathematical Education 48(1), 1-20.)
  2. 권오남 (2002). 웹 기반 가상현실 프로그램과 지필 학습 프로그램이 공간시각화 능력에 미치는 영향 - 성별을 중심으로, 수학교육 41(1), 45-57.(Kwon, O. N. (2002). The Gender - Related Effects of a Web - Based Virtual Reality Program and a Paper - Based Program on Spatial Visualization Skills of Middle School Students, The mathematical Education 41(1), 45-57.)
  3. 김주일 (2012). 스케치 업을 활용한 학습이 공간 감각 능력에 미치는 효과. 석사학위 논문, 공주교육대학교.(Kim, J. I. (2012). The effect of learning using sketchup on spatial sense abilities. master's thesis, Gongju national university of education.)
  4. 나귀수 (2009). 분석법을 중심으로 한 기하 증명 지도에 대한 연구, 수학교육학연구 19(2), 185-206.(Na, G. S. (2009). Teaching Geometry Proof with focus on the Analysis, Journal of Educational Research in Mathematics 19(2), 185-206.)
  5. 이혜미 (2008). 3D 탐구형 소프트웨어 활용을 통한 수학적 사고력 및 수학성취도 향상에 관한 연구 - 초등학교 6학년 '도형' 영역을 중심으로. 석사학위논문, 전주교육대학교.(Lee, H. M. (2008). A Study of Improvement of Mathematical Thinking Ability and Achievement through 3D Software Application : Focused on Diagram area in 6 Grade Elementary School. master's thesis, Jeonju national university of education.)
  6. 전평국, 정부용 (2003). 공간 시각화 과정에서의 교구의 역할, 수학교육 논문집 15, 87-92.(Jeon, P. K. & jeong, B. Y. The role of tools in spatial visualization process, Communications of Mathematical Education 15, 87-92.)
  7. Battista, M. T., & Clements, D. H. (1996). Students' understanding of three-dimensional rectangular arrays of cubes, Journal for Research in Mathematics Education 27(3), 258-292. https://doi.org/10.2307/749365
  8. Battista, M. T. (2004). Applying Cognition-Based Assessment to Elementary School Students' Development of Understanding of Area and Volume Measurement, Mathematical Thinking and Learning 6(2), 185-204. https://doi.org/10.1207/s15327833mtl0602_6
  9. Clements, D. H., & Sarama, J. (2007). Effects of a preschool mathematics curriculum: Summative research on the building blocks project, Journal for Research in Mathematics Education 38(2), 136-163.
  10. Ekstrom, R. B., French. J. W., Harmon, H. H., & Derman, D. (1976). Manual for Kit of Factor-Referenced Cognitive Tests, Princeton: Educational Testing Service.
  11. Fennema, E. (1979). Women and girls in mathematics-equity in mathematics education, Educational Studies in Mathematics 10, 389-401. https://doi.org/10.1007/BF00417086
  12. Hegarty, M., & Waller, D. A. (2004). A dissociation between mental rotation and perspective-talking spatial abilities, Intelligence 32, 175-191. https://doi.org/10.1016/j.intell.2003.12.001
  13. Kurtulus, A., & Uygan, C. (2010). The effects of Google Sketchup based geometry activities and projects on spatial visualization ability of student mathematics teachers, Procedia-Social and Behavioral Sciences 9, 384-389. https://doi.org/10.1016/j.sbspro.2010.12.169
  14. Lean, G., & Clements, M. A. (1981). Spatial ability, visual imagery, and mathematical performance, Educational Studies in Mathematics 12, 267-299. https://doi.org/10.1007/BF00311060
  15. Livingstone, J., & Fleron, J. F. (2012). Exploring Three-Dimensional Worlds Using Google SketchUp, Mathematics Teacher 105(6), 469-473. https://doi.org/10.5951/mathteacher.105.6.0469
  16. Markopoulos, C. (2003). Teaching and learning of solids with the use of technological tools. Doctoral dissertation, University of Patra.
  17. McGee, M. G. (1979). Human spatial abilities: Psychometric studies and environmental, genetic, hormonal, and neurological influences, Psychological Bulletin 86(5), 889-918. https://doi.org/10.1037/0033-2909.86.5.889
  18. Pittalis, M., & Christou, C. (2010). Types of reasoning in 3D geometry thinking and their relation with spatial ability, Educational Studies in Mathematics 75(2), 191-212. https://doi.org/10.1007/s10649-010-9251-8
  19. Shafer, K. G., Severt, G., & Olson, Z. A. (2011). Sketching up the Digital Duck, Mathematics Teacher 105(4), 262-268. https://doi.org/10.5951/mathteacher.105.4.0262
  20. Tartre, L. A. (1984). The role of spatial orientation skill in the solution of mathematics problems and associated sex-related differences. Doctoral dissertation, University of Wisconsin.
  21. Tartre, L. A. (1990). Spatial orientation skill and mathematical problem solving, Journal for Research in Mathematics Education 21(3), 216-229. https://doi.org/10.2307/749375

피인용 문헌

  1. 원기둥을 이용한 중학생의 공간기하 이해 능력 분석 vol.59, pp.2, 2013, https://doi.org/10.7468/mathedu.2020.59.2.113