DOI QR코드

DOI QR Code

Assessing Korean Middle School Students' Spatial Ability: The Relationship with Mathematics, Gender, and Grade

  • Park, Sung Sun (Chuncheon National University of Education) ;
  • Yoon, So Yoon (Institute for P-12 Engineering Research and Learning (INSPIRE), School of Engineering Education, Purdue University)
  • Received : 2011.11.14
  • Accepted : 2012.05.01
  • Published : 2012.06.30

Abstract

Spatial ability has been valued as a talent domain and important skill in mathematics education because it enhanced an intuitive view and an understanding in many areas of mathematic. In addition, spatial ability highly correlates with mathematics achievement, indicating its crucial role in success in mathematics education. Some researchers founded gender differences in mathematics and spatial ability, and indicated that spatial ability served as a mediator of gender difference in mathematics. This study explored the spatial ability of 349 Korean middle school students (Grade 7-9), and investigated the association among students' spatial ability and their mathematics achievement, gender, and grade. The result of this study shows that spatial ability correlates positively with mathematics achievement. While gender difference did not exist in mathematics, significant gender difference existed in spatial ability favoring male students.

Keywords

References

  1. Alkhateeb, H. M. (2004). Spatial visualization of undergraduate education majors classified by thinking styles. Perceptual and motor skills 98, 865-868. https://doi.org/10.2466/pms.98.3.865-868
  2. Battista, M. T. (1990). Spatial visualization and gender differences in high school geometry. Journal for Research in Mathematics Education 21(1), 47-60. ME 1990f.00801 ERIC EJ407521 https://doi.org/10.2307/749456
  3. 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, J. Res. Math. Educ.13(5), 332-340. ME 1983a.04688 ERIC EJ270203 https://doi.org/10.2307/749007
  4. Beller, M., Gafni, N. (1996). The 1991 international assessment of educational progress in mathematics and science: The gender differences perspective. J. Educ. Psychol. 88(2), 365-377. ME 1997a.00274 ERIC EJ 531717 https://doi.org/10.1037/0022-0663.88.2.365
  5. Benbow, C. O. & Lubinski, D. (1993). Consequences of gender differences in mathematical reasoning ability and some biological linkages. In: M. Haug, R. E. Whale, C. Aron & K. L. Olsen (Eds.), The development of sex differences and similarities in behavior (pp. 87-109). Boston, MA: Kluwer Academic.
  6. 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.
  7. Casey, M. B.; Nuttall, R. L. & Pezaris, E. (1997). Mediators of gender differences in mathematics college entrance test scores: A comparison of spatial skills with internalized beliefs and anxieties. Dev. Psychol. 33, 669-680. ME 1998d.02389 ERIC EJ 549594 https://doi.org/10.1037/0012-1649.33.4.669
  8. Casey, M. B.; Nuttall, R. L.; Pezaris, E. & Benbow, C. P. (1995). The influence of spatial ability on gender differences in mathematics college entrance test scores across diverse samples. Developmental Psychology 31, 697-705. https://doi.org/10.1037/0012-1649.31.4.697
  9. Chae, Y.; Chae, S. & Mann, R. L. (2008). Gifted spatial learners: Class selection and gender. Paper presented at Poster session of the Research Gala of Research and Evaluation Division at the 55th Annual Convention of the National Association for Gifted Children in Tampa, Florida.
  10. 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
  11. Clements, M. A. (1981). Spatial ability, visual imagery, and mathematical learning. Paper presented at the Annual Meeting of the American Educational Research Association held at Los Angeles; April 1981. ERIC ED202696
  12. Cohen, J. (1988). Statistical power analysis for the behavioral sciences. Hillsdale, NJ: Lawrence Erlbaum.
  13. Crawford, M.; Chaffin, R. & Fitton, L. (1995). Cognition in social context. Learning and Individual Differences 7, 341-362. https://doi.org/10.1016/1041-6080(95)90006-3
  14. 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 Clearinghouse for Sciences, Mathematics, and Environmental Education. ERIC ED128195 http://www.eric.ed.gov/ERICWebPortal/contentdelivery/servlet/ERICServlet?accno=ED128195
  15. Field, A. (2009). Discovering statistics using SPSS. 3rd Ed. London: SAGE Publications Ltd.
  16. Freudenthal, H. (1973). Mathematics as an educational task. Dordercht: D. Reidel Publishing Company.
  17. Gardner, H. (1993). Multiple intelligences. New York: Basic Books.
  18. Geary, D. C. (1996). Sexual selection and sex differences in mathematical abilities. Behavioral and Brain Sciences 19, 229-284. https://doi.org/10.1017/S0140525X00042400
  19. Guay, R. B. (1976). Purdue Spatial Visualization Test. West Lafayette, IN: Purdue Research Foundation.
  20. Guay, R. B. (1980). Spatial ability measurement: A critique and an alternative. Paper presented at the Annual Meeting of the American Educational Research Association, Boston, MA. ERIC ED189166.
  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. Hyde, J. S.; Fennema, E., & Lamon, S. J. (1990). Gender differences in mathematics performance: A meta-analysis. Psychological Bulletin 107, 139-155. https://doi.org/10.1037/0033-2909.107.2.139
  23. Hedges, L. V., Nowell, A. (1995). Sex differences in mental tests scores, variability, and numbers of high-scoring individuals. Science 269, 41-45. https://doi.org/10.1126/science.7604277
  24. 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
  25. Hwang, J. K. (1984). Intelligence of human beings (in Korean: 인간의 지능). Seoul: Mineumsa.
  26. Kersh, M. E., & Cook, K. H. (1979). Improving mathematics ability and attitude: A manual. Seattle, WA: University of Washington. Mathematics Learning Institute.
  27. Krutetskii., V A. (1976). The psychology of mathematical abilities in school children. Chicago: University of Chicago Press.
  28. 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
  29. Lohman, D. F. (1979). Spatial ability: A review and re-analysis of the correlational literature. Technical Report No. 8. Aptitudes Research Project. Stanford, CA: School of Education, Stanford University.
  30. 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
  31. Lohman, D. F. (2008). Identifying academically gifted English-language learners using nonverbal tests: A comparison of the Raven, NNAT, and CogAt. Gifted Child Quarterly 52, 275-296. https://doi.org/10.1177/0016986208321808
  32. 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
  33. Maeda, Y. & Yoon, S. Y. (2011). Scaling the Revised PSVT-R: Characteristics of the first year engineering students' spatial ability. In: Proceedings of the American Society for Engineering Education (ASEE) Annual Conference and Exposition, 2011-2582, Vancouver, BC, Canada.
  34. Masters, M. S., & Sanders, B. (1993). Is the gender differences in mental rotation disappearing? Behavior Genetics 23, 337-341. https://doi.org/10.1007/BF01067434
  35. 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
  36. McGuinness, D. (1993). Sex differences in cognitive style: Implications for mathematics performance and achievement. In: L. A. Penner, G. M, Batsche, H. M. Knoff, & D. L. Nelson (Eds.), The challenge of mathematics and science education: Psychology's response (pp. 251-274). Washington, DC: American Psychological Association.
  37. 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
  38. Naglieri, J. A., & Ford, D. Y. (2005). Increasing minority children's participation in gifted classes using the NNAT: A response to Lohman. Gifted Child Quarterly 49, 29-36. https://doi.org/10.1177/001698620504900104
  39. National Council of Teachers of Mathematics (NCTM) (2000). Principles and standards for school mathematics. Reston, VA: NCTM. ME 1999f.03937 for discussion draft (1998)
  40. Sherman, J. A. (1979). Predicting mathematical performance in high school girls and boys. Journal of Educational Psychology 71, 242-249. https://doi.org/10.1037/0022-0663.71.2.242
  41. Sorby, S. A. (2000). Spatial abilities and their relationship to effective learning of 3-D solid modeling software. Engineering Design Graphics Journal, 64(3), 30-35.
  42. Sorby, S. A., & Baartmans, B. J. (1996). A course for the development of 3-D spatial visualization skills. Engineering Design Graphics Journal 60(1), 13-20.
  43. 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
  44. Tartre, L. A. (1990). Spatial skills, gender and mathematics. In: E. Fennema & G. Leder (Eds.), Mathematics and gender: Influences on teachers and students (pp. 27-59). New York: Teachers' College Press.
  45. 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.
  46. Voyer, D., Voyer, S, & Bryden, M. P. (1995). Magnitude of sex differences in spatial abilities: A meta-analysis and consideration of critical variables. Psychological Bulletin 117, 250-270. https://doi.org/10.1037/0033-2909.117.2.250
  47. 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
  48. 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
  49. Wheatley, G. H. (1983). A mathematics curriculum for the gifted and talented. Gifted Child Quarterly 27, 77-80. https://doi.org/10.1177/001698628302700205
  50. Yoon, S. Y. (2011). Psychometric properties of the Revised Purdue Spatial Visualization Tests: Visualization of Rotations (The Revised PSVT:R). Unpublished doctoral dissertation. West Lafayette, IN: Purdue University.