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A comparative study of two nationwide examinations: Maths with calculus and maths with statistics

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Abstract

In recent years a group at Auckland University has made an analysis of the results in the nationwide Year 12 calculus examination and the ‘Equity in Mathematics Education’ team in Wellington has done a similar investigation of the corresponding statistics paper. Both groups initially analysed the raw (unscaled) marks from the candidates for the 1987 and 1988 examinations on the basis of gender, school authority and school type. Of these three effects the first two were significant for the statistics examination and the last two for the calculus paper. The candidates were then divided into cohorts depending on whether they took both or just one of these mathematics papers. The effect of the number of mathematics papers a student took was highly significant, consequently the three-way analysis was repeated for each cohort. Gender was then no longer significant in either study but type and authority were significant for both analyses. An overview of the effect of gender in a question by question analysis of each examination has been included.

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References

  • Armstrong, J. M.: 1985, ‘A national assessment of participation and achievement of women in mathematics’, in S. Chipman, L. Brush and D. Wilson (eds.),Women and Mathematics: Balancing the Equation, Lawrence Erlbaum Associates, New Jersey, pp. 59–94.

    Google Scholar 

  • Battersby, D., Cocklin, B. and Vincent, C.: 1983,Beyond the Crossroads: An Investigation into Single-sex and Co-educational Secondary Schooling in Blenheim, New Zealand, Department of Education, Massey University, Palmerston North, New Zealand.

    Google Scholar 

  • Bradberry, J.: 1989, ‘Gender differences in mathematical attainment at 16+’,Educational Studies 15(3), 301–314.

    Google Scholar 

  • British Royal Society: 1986,Girls and Mathematics, A Report by the Joint Mathematical Education Committee, The Royal Society and The Institute of Mathematics and Its Applications, London.

    Google Scholar 

  • Ethington, C.: 1990, ‘Gender differences in mathematics: An international perspective’,Journal for Research in Mathematics Education 21(1), 74–80.

    Google Scholar 

  • Fennema, E.: 1979, ‘Women and females in mathematics’,Educational Studies in Mathematics 10, 389–401.

    Google Scholar 

  • Fennema, E. and Carpenter, T.: 1981, ‘Sex-related differences in mathematics: Results from national assessment’,Mathematics Teacher 74(7), 554–559.

    Google Scholar 

  • Forbes, S., Blithe, T., Clark, M. and Robinson, E.: 1990,Mathematics for All? Summary of a Study of Participation, Performance, Gender and Ethnic Differences in Mathematics in New Zealand Secondary Schools, A Report to the Ministry of Education, Wellington, New Zealand.

  • Garden, R.: 1989, ‘Students' Achievements: Population B’, in D. Robitaille and R. Garden (eds.),The IEA Study of Mathematics II: Contexts and Outcomes of School Mathematics, Pergamon Press, NSW, Australia, pp. 126–152.

    Google Scholar 

  • Hanna, G., Kundiger, E. and Larouche, C.: 1990, ‘Mathematical achievement of grade 12 girls in fifteen countries’, in L. Burton (ed.),Gender and Mathematics: An International Perspective, Cassell, London, pp. 87–97.

    Google Scholar 

  • Hyde, J., Fennema, E. and Lamon, S.: 1990, ‘Gender differences in mathematics performance: A meta-analysis’,Psychological Bulletin 107(2), 139–155.

    Google Scholar 

  • Kaur, B.: 1992, ‘Gender and mathematics: The Singapore perspective’, paper presented at the Seventh International Congress on Mathematical Education, Quebec City, Canada.

  • Lee, V. and Bryk, A.: 1986, ‘Effects of single-sex secondary schools on student achievement and attitudes’,Journal of Educational Psychology 78(5), 381–395.

    Google Scholar 

  • Marsh, H. W., Owens, L., Marsh, M. R. and Smith, I. D.: 1989, ‘From single-sex to coed schools’, in G. C. Leder and S. N. Sampson (eds.),Educating Girls: Practice and Research, Allen and Unwin, Australia, pp. 144–157.

    Google Scholar 

  • Morton, M., Pemberton, J., Reilly, B., Reilly, I. and Lee, A.: 1988, ‘Is the gender gap in bursaries mathematics with calculus narrowing?’,NZ Mathematics Magazine 25(4), 3–21.

    Google Scholar 

  • Morton, M., Pemberton, J., Reilly, B., Reilly, I. and Lee, A.: 1989, ‘Bursaries mathematics with calculus revisited’,NZ Mathematics Magazine 26(3), 17–40.

    Google Scholar 

  • Pattison, P. and Grieve, N.: 1984, ‘Do spatial skills contribute to sex differences in different types of mathematical problems’,Journal of Educational Psychology 76(4), 678–689.

    Google Scholar 

  • Pattison, P., Holton, D. and Gordon, R.: 1984, ‘Describing sex differences in mathematics’, preprint.

  • Reilly, B., Reilly, I., Pemberton, J. and Lee, A.: 1987, ‘Gender differences in performance in bursaries pure mathematics’,NZ Mathematics Magazine 24 (1), 19–33.

    Google Scholar 

  • Reilly, B. and Morton, M.: 1991, ‘Performance in a nationwide mathematics examination at teriary entrance level’,Contributions to the Sixth International Conference on Gender and Science and Technology 1, 301–309.

    Google Scholar 

  • Robitaille, D.: 1989, ‘Students' achievements: Population A’, in D. Robitaille and R. Garden (eds.),The IEA Study of Mathematics II: Contexts and Outcomes of School Mathematics, Pergamon Press, NSW, Australia, pp. 102–125.

    Google Scholar 

  • SAS Institute Inc.: 1989,SAS/STAT User's Guide, Version 6, Fourth Edition, Volume 1, Cary, NC: SAS Institute Inc., 943 pp.

    Google Scholar 

  • Senk, S. and Usiskin, Z.: 1983, ‘Geometry proof writing: A new view of sex differences in mathematics ability’,American Journal of Education 91, 187–201.

    Google Scholar 

  • Shuard, H. B.: 1982, ‘Differences in mathematical performance between girls and boys’, in W.H. Cockcroft (chairman),Mathematics Counts, Her Majesty's Stationery Office, London, pp. 273–287.

    Google Scholar 

  • Smith, S.: 1986,Separate Tables?: An Investigation into Single Sex Setting in Mathematics, Manchester Equal Opportunities Commission.

  • Smith, S. and Walker, W.: 1988, ‘Sex differences in New York State Regents Examination: Support for the differential course taking hypothesis’,Journal for Research in Mathematics Education 19, 81–85.

    Google Scholar 

  • Steedman, J.: 1980,Progress in Secondary Schools: Findings from the National Child Development Study, National Children's Bureau.

  • Stewart, C.: 1981,Sex Differences in Mathematics, Research Report Series No. 4, Research and Statistics Division, Department of Education, Wellington, New Zealand.

    Google Scholar 

  • Williams, T. and Carpenter, P.: 1990, ‘Private schooling and public achievement’,Australian Journal of Education 34(1), 3–24.

    Google Scholar 

  • Willis, S. and Kenway, J.: 1986, ‘On overcoming sexism in schooling: To marginalize or mainstream’,Australian Journal of Education 30, 132–49.

    Google Scholar 

  • Wily, H.: 1986, ‘Women in mathematics: Some gender differences from the IEA survey in New Zealand’,NZ Mathematics Magazine 23(2), 39–49.

    Google Scholar 

  • Wood, R.: 1976, ‘Sex differences in mathematics achievement at GCE ordinary level’,Educational Studies 2(2), 141–160.

    Google Scholar 

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Morton, M., Reilly, B., Robinson, E. et al. A comparative study of two nationwide examinations: Maths with calculus and maths with statistics. Educ Stud Math 26, 367–387 (1994). https://doi.org/10.1007/BF01279521

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