Education of Primary School Mathematics (한국수학교육학회지시리즈C:초등수학교육)

Korean Society of Mathematical Education (한국수학교육학회)
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Spatial Ability and Mathematical Achievement of Elementary School Students

초등학생의 공간시각화능력 및 수학성취도에 관한 연구

  • Received : 2013.11.17
  • Accepted : 2013.12.09
  • Published : 2013.12.31
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Abstract

Spatial ability has been valued as one component of intelligence and associated with the achievements in science, technology, engineering, and mathematics (STEM) disciplines and important in STEM education. The purpose of this study is to assess elementary school students' spatial ability and analyze the relationship with mathematical achievement, gender and grade level. This study explored the spatial visualization ability of 1288 elementary school students (grade 4-6) in Seoul and Gangwon province and investigated association between spatial ability and students' mathematics achievement, the students' spatial ability according to their gender and grade level. As a result, this study showed that there were significant correlations between spatial ability and mathematical achievement. And also, boy students were better than girl students in spatial ability and higher grader were better than lower graders in spatial ability. According to these results, spatial ability should be included as one of the important components in identifying students for gifted education programs. Furthermore, more research is needed on how to effectively structure educational opportunities to students both who have high spatial ability and have low spatial ability.

공간능력은 수학의 직관적 관점과 수학적 이해 및 수학적 성취도와도 밀접한 관련이 있다는 점에서 매우 중요한 능력으로 평가될 수 있다. 본 연구에서는 초등학교 4, 5, 6학년 학생 1228명을 대상으로 공간시각화능력을 조사하였다. 이를 통하여 다음과 같은 연구결과를 얻을 수 있었다. 첫째, 공간시각화 능력과 수학성취도, 공간시각화 능력과 공간시각화 검사시간 사이에 상관관계가 있다. 둘째, 공간능력은 남녀 사이에 차이가 있었으며, 남학생이 여학생보다 더 높게 나타났다. 셋째, 공간능력은 학년수준에서 4학년보다는 5학년이 높았으며, 5학년보다는 6학년이 더 높게 나타났다.

Keywords

References

  1. 교육인적자원부 (1997). 초등학교 7차 교육과정. 서울:대한교과서주식회사. Ministry of Education, Science and Technology (1997). 7th elementary school curriculum manual IV: Mathematics, Science, Practical Course. Seoul: Daehan Textbook.
  2. 교육과학기술부 (2012). 수학 지도서 6-1. 서울: 두산동아. Ministry of Education, Science and Technology (2012). Mathematics teachers' guide 6-1. Seoul: Doosan-Donga.
  3. 김혜정 (2003). 공간시각화 활동을 통한 기하학습이 공간감각능력과 의사소통능력에 미치는 효과. 한국교원대학교 교육대학원 석사학위논문. Kim, H. J. (2003). The effects of geometry learning through spatial visualization activities on spatial sensibility and communicative ability. Unpublished Master's thesis, Korea National University of Education.
  4. 류현아․정영옥․송상헌 (2007). 입체도형에 대한 6-7학년 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 figures. School Mathematics, 9(2), 277-289.
  5. 박성선 (2012). 초등학생용 공간 시각화 검사지 개발 및 표준화. 한국연구재단연구보고서. Park, S. S. (2012). The Development of Spacial Visualization Test for Elementary Students. Research Report. National Research Foundation of Korea.
  6. 성은현 (1997). 여성과 남성은 인지적 측면에서 다른가?: 창의력, 공간지각력, 시각화 전략을 중심으로. 한국심리학회지, 2(1), 30-43. Sung, E. H. (1997). Is there a gender differecne in the cognitive aspect?: Creative thinking, ability of the visuo-spatial perception, strategy of the visualization. Korean Journal of Psychology:Women, 2(1), 30-43.
  7. 신준식 (1992). 공간감각 배양을 위한 교수-학습 방법 및 자료개발. 과학교육연구, 26, 39-68. Shin, J. S. (2002). Development of teaching-learning methods and materials for cultivation of spatial sense. Journal of Research in Science Education. 26, 39-68.
  8. 황정규 (1984). 인간의 지능. 서울: 민음사. Hwang, J. G. (1984). Intelligence of human. Seoul: Minum.
  9. Baroody, A. J., & Coslick, R. T. (1998). Fostering children's mathematical power. Hillsdale, NJ:Lawrence Erlbaum Associates.
  10. 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
  11. Battista, M. (2007). Learning with understanding: Principles and processes in the construction of meaning for geometric ideas. In G. Martin, M. Strutchens, & P. Elliot (Eds.), The learning of mathematics, 2007 Yearbook of the NCTM (pp. 65-80). Reston, VA: NCTM.
  12. Beller, M., Gafni, N. (1996). The 1991 international assessment of educational progress in mathematics and science: The gender differences perspective. Journal of Educational Psychology, 88, 365-377. https://doi.org/10.1037/0022-0663.88.2.365
  13. Benbow, C. O., & Lubinski, D. (1993). Consequences of gender differences in mathematical reasoning ability and some biological linkages. In J. Haug, R. E. Whale, C. Aron, & K. L. Olsen (Eds.), The development of sex differences and similarities in behavior (pp.87-110).Boston : Kluwer Academic.
  14. Bishop, M. A. (1983). Spatial abilities and mathematical thinking. Proceeding of the 4th International Congress on Mathematical Education, Boston: Brikhauser Boston.
  15. 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. Developmental Psychology, 33, 669-680. https://doi.org/10.1037/0012-1649.33.4.669
  16. 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
  17. 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
  18. Clements, M. A. (1981). Spatial ability, visual imagery, and mathematical learning.(ERIC Document Reproduction Service, NO.ED202696).
  19. 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
  20. Eliot, J., & Smith, I. M. (1983). An international directory of spatial tests. Windsor, Berkshire: NFER-Nelson.
  21. 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.
  22. Fennma, E., & Tartre, L. (1985). The use of spatial visualization in mathematics by girls and boys. Journal for Research in Mathematics Education, 16, 184-206. https://doi.org/10.2307/748393
  23. Freudenthal, H. (1973). Mathematics as an educational task. Dordercht: D. Reidel Publishing Company.
  24. Guay, R. B. (1976). Purdue Spatial Visualization Test. West Lafayette. IN: Purdue Research Foundation.
  25. 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
  26. 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
  27. Kersh, M. E., & Cook, K. H. (1979). Improving mathematics ability and attitude: A manual. Seattle, WA : University of Washington. Mathematics Learning Institute.
  28. Krutetskii., V A. (1976). The psychology of mathematical abilities in school children. Chicago: University of Chicago Press.
  29. 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
  30. Lohman, D. E. (1979). Spatial ability: A review and re-analysis of correlational literature. Technical Report, 8, 25-27.
  31. 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
  32. 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
  33. 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
  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. 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.
  36. 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
  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. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Author.
  40. NCTM (2000). Principles and standards for school mathematics. Reston, VA: The National Council of Teachers of Mathematics, Inc.
  41. 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
  42. Reams, R., Charmard, D., & Robinson, N. (1990). The race in not necessarily to the swift: Validity of WISC-R bonus point for speed. Gifted Child Quarterly, 34, 108-110. https://doi.org/10.1177/001698629003400304
  43. 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
  44. Strumpf, H. (1998). Gender-related differences in academically talented students' scores and use of time on tests of spatial ability. Gifted Child Quarterly, 42, 157-171. https://doi.org/10.1177/001698629804200304
  45. 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.
  46. 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.
  47. 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
  48. 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
  49. 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
  50. 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
  51. 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.

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