DOI QR코드

DOI QR Code

Development and Validation of Spatial Visualization Tests for Elementary School Children

초등학생용 공간 시각화 검사지 개발 및 표준화

  • Received : 2014.08.05
  • Accepted : 2014.08.26
  • Published : 2014.08.31

Abstract

Spatial ability has been valued as one component of intelligence and as an talented domain. And it is associated with the achievements in science, technology, engineering, and mathematics (STEM) disciplines. So, the instrument for measuring spatial ability is very important. The purpose of this study is to develop Spatial Visualization Tests for Elementary School Children and examine internal consistency reliability evidence and construct validity evidence on confirmatory factor analysis of that instrument. For this purpose, 'The Spatial Visualization Tests for Elementary School Children was administered to 1482 Korean elementary school students. As a result, this study show that internal consistency reliability evidence using Cronbach' alpha showed item consistency and construct validity evidence from confirmatory factor analysis in the Spatial Visualization Tests for Elementary School Children. And also, this study show ed that item difficulty and item discrimination of the Spatial Visualization Tests for Elementary School Children were within an acceptable range.

본 연구는 초등학생용 공간시각화 검사지를 개발하고 표준화하는데 목적이 있다. 이를 위하여 총 24문항으로 구성된 초등학생용 공간시각화 검사지를 개발하였으며, 초등학생 1482명을 대상으로 검사를 실시하여 신뢰도와 타당도를 분석하였다. 분석결과는 다음과 같다. 첫째, 초등학생용 공간시각화 검사지의 문항내적일관성 신뢰도는 Cronbach's ${\alpha}$=.794로 양호한 것으로 나타났다. 둘째, 검사지의 24문항에 대한 타당도를 검증하기 위하여 확인적 요인분석을 한 결과, 검사지의 타당도가 양호한 것으로 판단되었다. 셋째, 검사지 24문항에 대한 문항난이도는 .200에서부터 .886으로 나타났으며, 평균 문항난이도는 .544인 것으로 나타났다. 이상의 연구 결과로 볼 때, 본 연구에서 개발한 초등학생용 공간시각화 검사지는 신뢰도와 타당도를 확보한 것으로 보이므로, 초등학생들의 공간시각화 능력을 측정하는데 활용할 수 있을 것이다.

Keywords

References

  1. 교육인적자원부 (1997). 초등학교 7차 교육과정. 서울: 대한교과서주식회사. (Ministry of Education, Science and Technology (1997). 7th elementary school curriculum and manual IV: Mathematics, Science, Practical Course. Seoul: Daehan Textbook.)
  2. 류현아, 정영옥, 송상헌 (2007). 입체도형에 대한 6-7 학년 수학영재들의 공간시각화 능력분석. 학교수학, 9(2), 277-289. (Ryue, H. A., Chong, Y. O., & Song, S. H. (2007). Analysis of the mathematically gifted 6th and 7th graders' spatial visualization ability of solid figure. School Mathematics, 9(2), 277-289.)
  3. 박성선 (2012). 펴듀 공간 시각화 검사-회전의 시각화 (한글판)의 타당화 및 문항분석. 교원교육, 28(1), 143-163. (Park, S. S. (2012). Validation of Korean version of the Revised PSVT:R. Korean Journal of Teacher Education, 28(1), 143-163.)
  4. 우종필 (2012). 구조방정식모델 개념과 이해. 서울: 한나래출판사. (Wu, J. P. (2012). Structural equation modeling. Seoul: Hannarae.)
  5. 황정규 (1984). 인간의 지능. 서울: 민음사. (Hwang J. G. (1984). Intelligence of human, Seoul: Minum.)
  6. Battista, M. T. (1990). Spatial visualization and gender differences in high school geometry. Journal for Research in Mathematics Education, 21, 47-60. https://doi.org/10.2307/749456
  7. Battista, M. T., Wheatley, G. H., & Talsma, G. (1982). The importance of spatial visualization and cognitive development for geometry learning in pre-service elementary teachers, Journal for Research in Mathematics Education, 13, 332-340. https://doi.org/10.2307/749007
  8. Branoff, T. J. (2000). Spatial Visualization Measurement: A Modification of the Purdue Spatial Visualization Test-Visualization of Rotations. Engineering Design Graphics Journal, 64(2), 14-22.
  9. Burton, L. J., & Fogarty, G. J. (2003). The factor structure of visual imagery and spatial abilities. Intelligence, 31, 289-318. https://doi.org/10.1016/S0160-2896(02)00139-3
  10. Carroll, J. B. (1993). Human cognitive abilities: A survey of factor-analytic studies. New York: Cambridge University Press.
  11. Clements, M. A. (1981). Spatial ability, visual imagery, and mathematical learning. (ERIC Document Reproduction Service, NO. ED202696).
  12. Chan, D. W. (2010). Developing the Impossible Figures Task to assess visual-spatial talents among Chinese students: A Rasch measurement model analysis. Gifted Child Quarterly, 54, 59-71. https://doi.org/10.1177/0016986209352685
  13. Del Grande, J. J. (1987). Spatial perception and primary geometry. In M. M. Lindquist & A. P. Shulte(Eds.), Learning and teaching geometry, K-12(pp. 126-135). Reston, VA: The National Council of Teachers of Mathematics, Inc.
  14. Eliot, J., & Smith, I. M. (1983). An international directory of spatial tests. Windsor, Berkshire: NFER-Nelson.
  15. Fennema, E. (1975). Spatial ability, mathematics, and the sexes. In E. Fennema (Ed.), Mathematics learning: What search says about sex differences (pp. 33-43). Columbus, OH: ERIC Clearing house for Sciences, Mathematics, and Environmental Education.
  16. Field, A. (2009). Discovering statistics using SPSS(3rd Ed.). London: SAGE Publications Ltd.
  17. Freudenthal, H. (1973). Mathematics as an educational task. Dordercht: D. Reidel Publishing Company.
  18. Gardner, H. (1993). Multiple intelligences. New York: Basic Books.
  19. Gohm, C. L., Humphreys, L. G., & Yao, G. (1998). Underachievement among spatially gifted students. American Educational Research Journal, 35, 515-531. https://doi.org/10.3102/00028312035003515
  20. Guay, R. B. (1976). Purdue Spatial Visualization Test. West Lafayette, IN: Purdue Research Foundation.
  21. Guay, R. B., & McDaniel, E. (1978). Correlates of performance on spatial aptitude tests. (A final report on Grant No. DAHC 19-77-G-0019) Alexandria, VA: U. S. Army Research Institute for the Behavioral and Social Sciences.
  22. Ho, C.H., & Eastman, C. (2006). An investigation of 2D and 3D spatial and mathematical abilities. Design Studies, 27, 505-524. https://doi.org/10.1016/j.destud.2005.11.007
  23. Humphreys, L. G., Lubinski, D., & Yao, G. (1993). Utility of predicting group membership: Exemplified by the role of spatial visualization for becoming an engineer, physical scientist, or artist. Journal of Applied Psychology, 78, 250-261. https://doi.org/10.1037/0021-9010.78.2.250
  24. Kersh, M. E., & Cook, K. H. (1979). Improving mathematics ability and attitude: A manual. Seattle, WA : University of Washington. Mathematics Learning Institute.
  25. Krutetskii, V A. (1976). The psychology of mathematical abilities in school children. Chicago: University of Chicago Press.
  26. Linn, M. C., & Petersen, A. C. (1985). Emergence and characterization of sex differences in spatial ability: A meta-analysis. Child Development, 56, 1479-1498. https://doi.org/10.2307/1130467
  27. Lohman, D. E. (1979). Spatial ability: A review and re-analysis of correlational literature. Technical Report, 8, 25-27.
  28. Lohman, D. E. (1994). Spatial ability. In R. J. Sternberg (Ed.), Encyclopedia of intelligence (Vol. 2, pp. 1000-1007). New York: Macmillan.
  29. Lohman, D. F. (2005). The role of nonverbal ability tests in identifying academically gifted students: An aptitude perspective. Gifted Child Quarterly, 49, 111-138. https://doi.org/10.1177/001698620504900203
  30. Lubinski, D., & Benbow, C. P. (2006). Study of Mathematically Precocious Youth after 35 years: Uncovering antecedents for the development of math-science expertise. Perspectives on Psychological Science, 1, 316-345. https://doi.org/10.1111/j.1745-6916.2006.00019.x
  31. McGee, M. G. (1979). Human spatial abilities: Psychometric studies and environmental, genetic, hormonal, and neurological influences. Psychological Bulletin, 86, 889-918. https://doi.org/10.1037/0033-2909.86.5.889
  32. Muthen, L. K., & Muthen, B. O. (1998-2010). Mplus User's Guide. 6th Ed. Los Angeles, CA: Muthen & Muthen.
  33. Naglieri, J. A., & Ford, D. Y. (2003). Addressing underrepresentation of gifted minority children using the Naglieri Nonverbal Ability Test (NNAT). Gifted Child Quarterly, 47, 155-160. https://doi.org/10.1177/001698620304700206
  34. NCTM (2000). Principles and standards for school mathematics. Reston, VA: The National Council of Teachers of Mathematics, Inc.
  35. Park, S. S., Yoon, S. Y. (2012). Assessing Korean middle school students' spatial ability: The relationship with mathematics, gender, and grade. Research in Mathematical Education, 16(2), 91-106.
  36. Peter, M., Laeng, B., Lathan, K., Jackson, J., Zaiouna, R., & Richardson, C. (1995). A redrawn Vandenberg and Kuse Mental Rotations Test: Difference versions and factors that affect performance. Brain and Cognition, 28, 39-58. https://doi.org/10.1006/brcg.1995.1032
  37. Plucker, J. A., Callahan, C. M., Tomchin, E. M. (1996). Wherefore art thou, multiple intelligences? Alternative assessments for identifying talent in ethnically diverse and low income students. Gifted Child Quarterly, 40, 81-91. https://doi.org/10.1177/001698629604000205
  38. Reid, C., Udall, A., Romanoff, B., & Algozzine, B. (1999). Comparison of traditional and problem solving assessment criteria. Gifted Child Quarterly, 43, 252-264. https://doi.org/10.1177/001698629904300404
  39. Shepard, R. N., & Melzler, J. (1971). Mental rotation of three-dimensional objects. Science, 171, 701-713. https://doi.org/10.1126/science.171.3972.701
  40. Sorby, S. A., & Baartmans, B. J. (2000). The development and assessment of a course for enhancing the 3-D spatial visualization skills of first year engineering students. Journal of Engineering Education, 89, 301-307. https://doi.org/10.1002/j.2168-9830.2000.tb00529.x
  41. Stanley, J. C. (1996). In the beginning: The study of mathematically precocious youth. In C. P. Benbow & D. Lubinski (Eds.). Intellectual talent (pp. 225-235). Baltimore: Johns Hopkis University Press.
  42. Tartre, L. A. (1990). Spatial skills, gender & mathematics. In E. Fennema & G. Leder (Eds.), Mathematics and gender: Influences on teachers and students (pp. 27-59). New York: Teachers' College Press.
  43. Usiskin, Z. (1987). Resolving the continuing dilemmas in school geometry. In M. M. Lindquist & A. P. Shulte (Eds.), Learning and teaching geometry, K-12 (pp. 17-31). Reston, VA: National Council of Teachers of Mathematics.
  44. Vandenberg, S. G., & Kuse, A. R. (1978). Mental rotations: A group test of three-dimensional spatial visualization. Perceptual and Motor skills, 47, 599-604. https://doi.org/10.2466/pms.1978.47.2.599
  45. Wai, J., Lubinski, D., & Benbow, C. P. (2009). Spatial ability for STEM domains: Aligning over 50 years of cumulative psychological knowledge solidifies its importance. Journal of Educational Psychology. 101, 817-835. https://doi.org/10.1037/a0016127
  46. Webb, R.M., Lubinski, D., & Benbow, C.P. (2007). Spatial ability: A neglected dimension in talent searches for intellectually precocious youth. Journal of Educational Psychology, 99, 397-420. https://doi.org/10.1037/0022-0663.99.2.397
  47. Wheatley, G. H. (1983). A mathematics curriculum for the gifted and talented. Gifted Child Quarterly, 27, 77-80. https://doi.org/10.1177/001698628302700205
  48. Yoon, S. Y. (2011). Psychometric properties of the Revised Purdue Spatial Visualization Tests: Visualization of Rotations(The Revised PSVT:R). Unpublished Doctoral Dissertation, Purdue University.