The analysis of gender difference on mathematics achievement after learning using CAS on mathematics underachiever

수학학습부진아의 CAS을 도입한 학습 결과를 바탕으로 한 성차분석

  • Kim, In-Kyung (Department of Mathematics Education, Cheongju University)
  • Received : 2011.10.06
  • Accepted : 2011.11.08
  • Published : 2011.11.30

Abstract

This paper analyzed about gender difference in the achievement of underachievers of high school students while learning using technology. Participants were composed of 67 underachievers on first grade in high school located in a metropolitan city. That had never used a mathematics educational calculator before. Target participants were divided into two groups: experiment group that studied activity papers with a CAS calculator. And control group that studied the same activity papers using only paper-and-pencil. The content of the activity papers for the two groups was the same, but the structure differed. The two groups completed mathematics achievement tests both before and after the activity papers. The results are that find out no difference of the mathematics achievement between boys and girls in each group, and that the mathematics achievement of boys in experiment group are better than one of boys in control group, and also girls.

본 논문은 CAS 계산기를 사용한 학습을 하고난 후의 고등학교 수학학습부진아 중 남녀 학생의 수학학업성취도에 차이가 있는지를 살펴보았다. 이를 위해 수학학습부진아를 선정하여 두 집단으로 나누었다. 한 집단은 처치집단으로 지필과 CAS 계산기를 사용하여 활동지를 학습하고, 다른 집단은 통제집단으로 지필만을 사용하여 활동지를 학습하였다. 이러한 학습의 전과 후에 지필평가를 실시하였다. 각 집단 학생들의 수학학업성취도를 살펴본 결과, 통제집단의 남학생과 여학생의 수학학업성취도가 유의미한 차이가 없는 것처럼, 처치집단의 남학생과 여학생의 수학학업성취도에서도 차이가 없었다. 처치집단의 남학생과 통제집단의 남학생의 수학학업성취도 비교와 처치집단의 여학생과 통제집단의 여학생의 수학학업성취도 비교에서는 모두 처치집단의 학생들이 더 높은 성취를 이루었다.

Keywords

References

  1. 고정화 . 도종훈 . 송미영, 수학과 국가수준 학업성취도 평가에서의 성별 차이 분석, 수학교육학연구 18(2008), No.2, pp. 179-200.
  2. American Association of University Women Educationl Foundation, Tech-savvy educating girls in the new computer age, Retrieved September 15, 2004, from http://www.aauw.org/member_center/publications/TechSavvy/TechSavvy.pdf.2000.
  3. M. E. Badger, "Why aren't girls better at maths? A review of research," Educational Research 23(1981), pp. 11-23.
  4. C. D. Bain, & M. L. Rice, "The Influence of Gender on Attitudes, Perceptions, and Uses of Technology," Journal of Research on Technology in Education, 39(2006), No. 2, pp. 119-132. https://doi.org/10.1080/15391523.2006.10782476
  5. D. P. Baker, & D. P. Jone, "Creating gender equality: Cross-national gender stratification and mathematical performance," Sociology of Education, 66(1993), pp. 91-103. https://doi.org/10.2307/2112795
  6. A. E. Bame, W. E. Dugger Jr., M. de Vries, & J. McBee, "Pupils'attitudes toward technology-PATT-USA," The Journal of Technology Studies, 19(1993), No. 1, pp. 40-48.
  7. B. Barker, "Girls'world or anxious times: What's really happening at school in the gender war?," Educational review, 49(1997), pp. 221-229. https://doi.org/10.1080/0013191970490301
  8. A. E. Beaton, I. V. Mullis, M. O. Martin, E. J. Gonzalez, D. L. Kelly, & T. A. Smith, Mathematics achievement in the middle school years: IEA Third International Mathematics and Science Study Chestnut Hill, MA: Boston College, 1996.
  9. A. E. Beaton, & L. M. O'Dwyer, Separating school, classroom and student variances and their relationship to socioeconomic status, In D. F. Robitaille & A. E. Beaton(Eds.), Secondary analysis of the TIMSS data (pp. 211-231). Boston, MA: Kluwer Academic Publishers, 2002.
  10. J. Becker, R. Kottkamp, D. Mann, & C. Skakshaft, West Virginia story: Achievement gains from a statewide comprehensive instrucational technology program, Retrieved November 21, 2001, from http://www.mff.org/pubs/ME155.pdf, 1999.
  11. C. P. Benbow, & J. C. Stanley, "Sex differences on SAT-math items," Developmental Psychology, 29(1980a), pp. 805-810.
  12. P. R. Brandon, B. J. Newton, & O. W. Hammond, "The superiority of girls over boys in mathematics achievement in Hawaii," Paper presented at the annual meeting of the American Educational Research Association, Chicago, 1985.
  13. J. R. Campbell, & J. S. Beardry, "Gender gap linked to differential socialization for high achieving senior mathematics students," The Journal of Educational Research, 91(1998), pp. 140-147. https://doi.org/10.1080/00220679809597534
  14. T. P. Carpenter, M. M. Lindquist, W. Mathews, & E. A. Silver, "Results of the third NAEP mathematics assessment: Secondary school," Mathematics Teacher, 76(1983), pp. 652-659.
  15. S. Catsambis, "The path to math: Gender and racial-ethnic differences in mathematics participation from middle school to high school," Sociology of Education, 67(1994), pp. 199-215. https://doi.org/10.2307/2112791
  16. B. C. Clewell, B. T. Anderson, & M. E. Thorpe, Breaking the barriers: Helping female and minority students succeed in mathematics and science, San Francisco, CA: Jossey-Bass Publishers, 1992.
  17. E. Fennema, "Mathematics learning and the sexes: A review," Journal for Research in Mathematics Education, 5(1974), pp. 126-139. https://doi.org/10.2307/748949
  18. E. Fennema & J. Sherman, "Sex related differences in mathematics achievement, spatial visualization and affective factors," American Educational Research Journal, 14(1977), No. 1, pp. 51-71. https://doi.org/10.3102/00028312014001051
  19. H. J. Forgasz, Computer for learning mathematics: Equity factors, In B. Barton, K. C. Irwin, M. Pfannkuch, & M. O. J. Thomas(Eds.), Mathematics education in the South Pacific (pp. 260-267), Auckland: MERGA Inc., 2002.
  20. L. H. Fox, L. Brody, & F. Tobin, (Eds.) Women and the mathematical mystique, Baltimore, MD: Johns Hopkins University Press, 1980.
  21. L. Friedman, "Mathematics and the gender gap: a meta-analysis of recent studies on sex differences in mathematical tasks," Review of Educational Research, 59(1989), pp. 185-213.
  22. L. Friedman, "The space factor in mathematics: Gender differences," Review of Educational research, 65(1995), No. 1, pp. 22-50. https://doi.org/10.3102/00346543065001022
  23. A. M. Gallagher, & R. DeLisi, "Gender differences in Scholastic Aptitude Test- Mathematics Problem solving among high ability students," Journal of Educational Psychology, 86(1994), pp. 204-211. https://doi.org/10.1037/0022-0663.86.2.204
  24. M. Gray, Gender and mathematics: Mythology and misogyny, In G. Hanna(Ed.), Towards gender equity in mathematics education: An ICMI study (pp. 27-38). Boston, MA: Kluwer Academic Publishers, 1996.
  25. D. F. Halpern, Sex differences in cognitive abilities(2nd Ed.), Hillsdale, New Jersey: Lawrence Erlbaum, 1992.
  26. H. C. Hawn, C. D. Ellet, & L. Des Jardines, "Differences in mathematics achievement between males and females in Grades 1-3," Paper presented at the annual meeting of the Eastern Educational Research Association, Philadelphia, 1981.
  27. L. V. Hedges, & A. Nowell, "Sex differences in mental test scores, variability and numbers of high scoring individuals," Science, 269(1995), pp. 41-45. https://doi.org/10.1126/science.7604277
  28. J. S. Hyde, E.,Fennema, & S. J. Lamon, "Gender differences in mathematics performance: A meta-analysis," Psychological Bulletin, 107(1990), pp. 139-155. https://doi.org/10.1037/0033-2909.107.2.139
  29. T. Kellaghan, & G. F. Madaus, Teachers'sources and uses of assessment information, In D. F. Robitaille & A. E. Beation(Eds.), Secondary analysis of the TIMSS data, Boston: Kluwer Academic Publishers, 2002.
  30. E. W. Kifer, Students'attitudes and perceptions, In D. F. Robitaille & A. E. Beation(Eds.), Secondary analysis of the TIMSS data, Boston: Kluwer Academic Publishers, 2002.
  31. M. M. Kimball, "A new perspective on women's math achievement," Psychological Bulletin, 105(1989), pp. 198-214. https://doi.org/10.1037/0033-2909.105.2.198
  32. D. Kimura, "Sex differences in the brain," Scientific American, 267(1992), pp. 119-125. https://doi.org/10.1038/scientificamerican0892-119
  33. H. Kirkpatrick, & L. Cuban, "Should we be worried? What the research says about gender differences in access, use, attitudes, and achievement with computers," Educational Technology, 38(1998), No. 4, pp. 56-61.
  34. J. Knodel, "The closing of the gender gap in schooling: The case of Thailand," Comparative Education, 33(1997), No. 1, pp. 66-86.
  35. G. C. Leder, "Sex-related differences in mathematics: An overview," Educational Studies in Mathematics, 16(1985), pp. 304-309. https://doi.org/10.1007/BF00776737
  36. M. Lummis, & H. W. Stevenson, "Gender differences in beliefs and achievement: A cross-cultural study," Developmental Psychology, 26(1990), pp. 254-263. https://doi.org/10.1037/0012-1649.26.2.254
  37. X. Ma, "Gender differences in mathematics achievement between Canadian and Asian education systems," The Journal of Educational Research, 89(1995), pp. 11-127.
  38. E. E. Maccoby, & C. N. Jacklin, The psychology of sex differences, Stanford: Stanford University Press, 1974.
  39. J. Mark, & K. Hanson, Beyond equal access: Gender equity in learning with computers, Office of Educational Research and Improvement(ED), Washington, DC. (ERIC Report No. ED 370879), 1992.
  40. S. P. Marshall, "Sex differences in children's mathematics achievement: Solving computations and story problems," Journal of Educational Psychology, 69(1984), pp. 797-811.
  41. J. Meece, & G. Jones, "Girls in mathematics and science: Constructivism as a feminist perspective," The High School Journal, 79(1996), No. 3, pp. 242-249.
  42. I. V. S. Mullis, M. O. Martin, A. E. Beaton, E. J. Gonzalez, D. L. Kelly, & T. A. Smith, Mathematics achievement in the primary school years: IEAs Third International and Mathematics and Science Study, Chestnut Hill, MA: Boston College, 1997.
  43. I. V. S. Mullis, M. O. Martin, E. G. Fierros, A. L. Goldberg, & S. E. Stemler, Gender differences in achievement: IEA's Third International Mathematics and Science Study, Chestnut Hill, MA: Boston College, 2000.
  44. R. Nathan, & L. Baron, "The effects of gender, programtype, and content on elementary children's'software preferences," Journal of Research on Computing in Education, 27(1995), No. 3, pp. 348-361. https://doi.org/10.1080/08886504.1995.10782137
  45. National Science Board(1998). Science and Engineering Indicators, Arlington, Va.: National Science Foundation, NSB 98-1.
  46. M. Ocak, "The Relationship Between Gender and Student's Attitude and Experience of Using a Computer Algebra System," The Journal of Computers in Mathematics and Science Teaching, 27(2008), No. 3, pp. 287-297.
  47. P. Peterson, & E. Fennema, "Effective teaching, students engagement in classroomactivities, and sex-related differences in learning mathematics," American Educational Research Journal, 22(1985), No. 63, pp. 309-335. https://doi.org/10.3102/00028312022003309
  48. I. Ramos, & J. Lambating, "Gender differences in risk-taking behavior and their relationship to mathematics performance," School Science and Mathematics, 96(1996), No. 4, pp. 202-207. https://doi.org/10.1111/j.1949-8594.1996.tb10225.x
  49. B. S. Randhawa, "Self-efficacy in mathematics, attitudes, and achievement of boys and girls from restricted samples in two countries," Perceptual and Moter Skills, 79(1994), pp. 1011-1018. https://doi.org/10.2466/pms.1994.79.2.1011
  50. C. L. Raymond, & C. P. Benbow, "Gender differences in mathematics: A function of parental support and student sex typing?," Developmental Psychology, 22(1986), pp. 808-819. https://doi.org/10.1037/0012-1649.22.6.808
  51. A. J. Reynolds, & H. J. Walberg, "A structural model of high school mathematics outcomes," Journal of Educational Research, 85(1991), pp. 150-158.
  52. S. Scarr, "Biological and cultural diversity: the legacy of Darwin for development," Child Development, 64(1993), No. 5, pp. 1333-1353. https://doi.org/10.2307/1131538
  53. J. P. Sheldon, "Gender stereotypes in educational software for young children," Sex Roles, 51(2004), pp. 433-444. https://doi.org/10.1023/B:SERS.0000049232.90715.d9
  54. S. Silverman, & A. M. Pritchard, "Building their future: girls and technology education in Connecticut," Journal of Technology Education, 7(1996), No. 2, pp. 41-54.
  55. J. O. Swafford, "Sex differences in first year algebra," Journal for Research in Mathematics Education, 11(1980), pp. 335-345. https://doi.org/10.2307/748624
  56. S. Teasdale, & J. L. Lupart, "Gender differences in computer attitudes, skills, and perceived ability," Paper presented at the Canadian Society for Studies in Education, Quebec, Canada, Retrieved January 19, 2004, from http://www.geomatics.ucalgary.ca/cwse/CompAtt.pdf, 2001.
  57. H. Thomas, "A theory explaining sex differences in high mathematical ability has been around for some time," Behavioral and Brain Sciences, 16(1993), pp. 187-215. https://doi.org/10.1017/S0140525X00029575
  58. S. L. sai, & H. J. Walberg, "Math achievement and attitude productivity in junior high school," Journal of Educational Research, 76(1983), pp. 267-272. https://doi.org/10.1080/00220671.1983.10885464
  59. E. F. Valentine, Gender Differences in Learning and Achievement in Mathematics, Science, and Technology and Strategies for Equity, ED446915, Psychology Foundations of Education for Pre-Service Teachers, EDCI 4124. 2000.
  60. M. Volman, & E. Van Eck, "Gender equity and information technology in Education: The second decade," Review of Educational Research, 71(2001), No. 4, pp. 613-634. https://doi.org/10.3102/00346543071004613
  61. H. J.Walberg, "Improving the productivity of America's schools," Educational Leadership, 5(1984), pp. 19-27.
  62. J. L. M. Wilkins, M. Zembylas, & K. J. Travers, Investigating correlates of mathematics and science literacy in the final year fo secondary school, In D. F. Robitaille & A. E. Beation (Eds.), Secondary analysis of the TIMSS data, Boston: Kluwer Academic Publishers, 2002.
  63. F. K. Wolters, "A PATT study among 10 to 12-year old students in the Netherlands," Journal of Technology Education, 1(1989), No.1, Retrieved February 15, 2004, from http://scholar.lib.vt.edu/ejournals/JTE/v1n1/falco.jte-v1n1.html
  64. D. J. Young, A. J. Reynolds, & H. J. Walberg, "Science achievement and educational productivity: A hierarchical linear model," Journal of Educational Research, 89(1996), pp. 272-278. https://doi.org/10.1080/00220671.1996.9941328
  65. R. Zambo, "Gender-related differences in the process of solving mathematical word problems to the 6th and the 8th grade levels," Focus on Learning Problems in Mathematics, 16(1994), No. 2, pp. 20-38.