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Mathematics performance and the role played by affective and background factors peter grootenboer and brian hemmings

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Abstract

In this article, we report on a study examining those factors which contribute to the mathematics performance of a sample of children aged between 8 and 13 years. The study was designed specifically to consider the potency of a number of mathematical affective factors, as well as background characteristics (viz., gender, ethnicity, and socioeconomic status), on children’s mathematics performance. Data were collected by surveying the children and drawing on performance ratings from their teachers. A correlation analysis revealed that the relationships between the respective dispositional and background variables with mathematics performance were significant and in the direction as predicted. Moreover, the findings from a logistic regression showed that a combination of these variables was able to appropriately classify students who either were below-average or above-average mathematics performers. We pay particular attention to the influence of certain dispositions with respect to mathematics performance and conclude by detailing the implications of the study for teachers and researchers.

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References

  • Ai, X. (2002). Gender differences in growth in mathematics achievement: Three-level longitudinal and multilevel analyses of individual, home, and school influences.Mathematical Thinking and Learning, 4(1), 1–22.

    Article  Google Scholar 

  • Ambrose, R. (2004). Initiating change in prospective elementary school teachers’ orientations to mathematics teaching by building on beliefs.Journal of Mathematics Teacher Education, 7, 91–119.

    Article  Google Scholar 

  • Antonnen, R. G. (1969). A longitudinal study in mathematics attitude.The Journal of Educational Research, 62, 467–471.

    Google Scholar 

  • Atweh, B., Meaney, T., McMurchy-Pilkington, C., Neyland, J., & Trinick, T. (2004). Social justice and sociocultural perspectives in mathematics education. In B. Perry, C. Diezmann, & G. Anthony (Eds.),Review of mathematics education in Australasia 2000–2003 (pp. 29–52). Flaxton, QLD: Post Pressed.

    Google Scholar 

  • Barkatsas, A. (2005). A new scale for monitoring students’ attitudes to learning mathematics with technology. In P. Clarkson, A. Downtown, D. Gronn, M. Horne, A. McDonough R. Pierce, & A. Roche (Eds.),Building connections: Theory, research and practice (Proceedings of the 28th annual conference of the Mathematics Education Research group of Australasia, Vol. 1, pp. 129–135). Sydney: MERGA.

    Google Scholar 

  • Bouchey, H. A., & Harter, S. (2005). Reflected appraisals, academic perceptions, and math/science performance during early adolescence.Journal of Educational Psychology, 97(4), 673–686.

    Article  Google Scholar 

  • Brahier, D. J., & Speer, W. R. (1995). Mathematical disposition: An attitude check(list). In R. Hunting, G. E. FitzSimons, P.C. Clarkson & A. J. Bishop (Eds.),Regional collaboration in mathematics education (pp. 147–156). Melbourne: International Commission on Mathematics Instruction.

    Google Scholar 

  • Clarkson, P. C., FitzSimons, G. E., & Seah, W. T. (1999). Values relevant to mathematics? I’d like to see that! In D. Tynam, N. Scott, K. Stacey, G. Asp, J. Dowsey, H. Hollingsworth, & B. McRae (Eds.),Mathematics: Across the ages. (pp. 129–132). Melbourne: Mathematics Association of Victoria.

    Google Scholar 

  • Crooks, T., & Flockton, L. (2002).Mathematics assessment results 2001: National Education Monitoring Report 23. Wellington, NZ: Ministry of Education.

    Google Scholar 

  • Demie, F. (2001). Ethnic and gender differences in educational achievement and implications for school improvement strategies.Educational Research, 43(1), 91–106.

    Article  Google Scholar 

  • de Vaus, D. A. (2002).Surveys in social research (5th ed.). Crows Nest, NSW: Allen & Unwin.

    Google Scholar 

  • Eaves, R. C., Williams, P., Winchester, K, & Darch, C. (1994). Using teacher judgment and IQ to estimate reading and mathematics achievement in a remedial-reading program.Psychology in the Schools, 31(4), 261–272.

    Article  Google Scholar 

  • Ernest, P. (1989). The impact of beliefs on the teaching of mathematics. In P. Ernest (Ed.),Mathematics teaching: The state of the art (pp. 249–254). London: Falmer Press.

    Google Scholar 

  • Fennema, E., & Sherman, J. (1978). Sex-related differences in mathematics achievement and related factors: Afurther study.Journal for Research in Mathematics Education, 9(3), 189–203.

    Article  Google Scholar 

  • Garden, R. A. (1997).Mathematics and science performance in middle primary school: Results from New Zealand’s participation in the Third International Mathematics and Science Study. Wellington, NZ: Research and International Section, Ministry of Education.

    Google Scholar 

  • Goldin, G. A. (2002). Affect, meta-affect, and mathematical belief structures. In G. C. Leder, E. Pehkonen, & G. Törner (Eds.),Beliefs: A hidden variable in mathematics education? (pp. 59–72). Dordrecht, The Netherlands: Kluwer.

    Google Scholar 

  • Gresalfi, M.S., & Cobb, P. (2006). Cultivating students’ discipline-specific dispositions as a critical goal for pedagogy and equity.Pedagogies: An International Journal, 1(1), 49–57.

    Article  Google Scholar 

  • Grootenboer, P. J. (2003a). The affective views of primary school children. In N. A. Pateman, B.J. Dougherty & J. Zilliox (Eds.),Navigating between theory and practice (Proceedings of the 27th conference of the International Group for the Psychology of Mathematics Education, Vol. 3, pp. 1–8). Honolulu, HI: PME.

    Google Scholar 

  • Grootenboer, P. J. (2003b).Preservice primary teachers’ affective development in mathematics. Unpublished doctoral dissertation, University of Waikato, NZ.

    Google Scholar 

  • Hersh, R. (1986). Some proposals for revising the philosophy of mathematics. In T. Tymoczko (Ed.),New directions in the philosophy of mathematics (pp. 9–28). Boston: Birkhauser.

    Google Scholar 

  • Higgins, K. M. (1997). The effect of year-long instruction in mathematical problem solving on middle-school students’ attitudes, beliefs, and abilities.Journal of Experimental Education, 66(1), 5–29.

    Article  Google Scholar 

  • Hyde, J. S., Fennema, E., Ryan, M., Frost, L. A., & Hopp, C. (1990). Gender comparisons of mathematics attitudes and affect.Psychology of Women Quarterly, 14(3), 299–324.

    Article  Google Scholar 

  • Kabiri, M., & Kiamanesh, A.R. (2004). The role of self-efficacy, anxiety, attitudes and previous math achievement in students’ math performance. In J. Baumert, H. Marsh, U. Trautwein & G. E. Richards (Eds.),Proceedings of the 3rd International Biennial SELF Research Conference (pp. 175–177). Berlin: SELF Research Centre.

    Google Scholar 

  • Ladson-Billings, G. (1997). It doesn’t add up: African American students’ mathematics achievement.Journal for Research in Mathematics Education, 28(6), 697–708.

    Article  Google Scholar 

  • Leder, G. C. (1992). Mathematics and gender: Changing perspectives. In D. Grouws (Ed.),Handbook of research on mathematics teaching and learning (pp. 597–622). New York: Macmillan.

    Google Scholar 

  • Leder, G. C., & Forgasz, H. J. (2006). Affect and mathematics education: PME perspectives. In A. Gutiérrez & P. Boero (Eds.),Handbook of research on the psychology of mathematics education: Past, present and future (pp. 403–427). Rotterdam, The Netherlands: Sense Publishers.

    Google Scholar 

  • Lokan, J., Greenwood, L., & Cresswell, J. (2001).15-up and counting, reading, writing, reasoning... How literate are Australia’s students? The PISA 2000 survey of students’ reading, mathematical and scientific literacy skills. Melbourne: Australian Council for Educational Research.

    Google Scholar 

  • Ma, X. (1997). Reciprocal relationships between attitude toward mathematics and achievement in mathematics.The Journal of Educational Research, 90(4), 221–229.

    Google Scholar 

  • Marcou, A., & Philippou, G. (2005). Motivational beliefs, self-regulated learning and mathematical problem solving. In H. L. Chick & J. L. Vincent (Eds.),Proceedings of the 29th conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 297–304). Melbourne: PME.

    Google Scholar 

  • May, S. (2003, December).Some factors underlying high and low achievement in PISA 2000. Paper presented at the NZARE/AARE conference, University of Auckland, NZ.

  • McCoach, D. B., & Siegle, D. (2003). Factors that differentiate underachieving gifted students from high-achieving gifted students.Gifted Child Quarterly, 47(2), 144–154.

    Article  Google Scholar 

  • McLeod, D.B. (1992). Research on affect in mathematics education: Areconceptualization. In D. Grouws (Ed.),Handbook of research on mathematics teaching and learning (pp. 575–596). New York: Macmillan.

    Google Scholar 

  • McLeod, D. B., & McLeod, S. H. (2002). Synthesis — beliefs and mathematics education: Implications for learning, teaching, and research. In G. C. Leder, E. Pehkonen, & G. Törner (Eds.),Beliefs: A hidden variable in mathematics education? (pp. 115–123). Dordrecht, The Netherlands: Kluwer.

    Google Scholar 

  • Mullins, I. V, Martin, M. O., Gonzalez, E.J., Gregory, K. D., Garden, R. A., O’Conner, K. M., Chrostowski, S. J., & Smith, T. A. (2000).TIMMS 1999 international mathematics report. Findings of the IEA’s repeat of the third International mathematics and science study at the eighth grade. Chestnut Hill, MA: Boston College.

    Google Scholar 

  • Op’t Eynde, P., de Corte, E., & Verschaffel, L. (2002). Framing students’ mathematicsrelated beliefs. A quest for conceptual clarity and a comprehensive categorization. In G. C. Leder, E. Pehkonen & G. Törner (Eds.),Beliefs: A hidden variable in mathematics education? (pp. 13–37). Dordrecht, The Netherlands: Kluwer.

    Google Scholar 

  • Peard, R. (2002). Socioeconomic background and pupil achievement in mathematics. In D. Edge & B. H. Yeap (Eds.),Mathematics education for a knowledge-based era (Proceedings of the 2nd East Asia Regional Conference on Mathematics Education and 9th Southeast Asian Conference on Mathematics Education, Singapore, Vol. 2, pp. 21–27). Singapore: National Institute of Education.

    Google Scholar 

  • Peng, C. J., Lee, K. L., & Ingersoll, G. M. (2002). An introduction to logistic regression analysis and reporting.The Journal of Educational Research, 96(1), 3–14.

    Article  Google Scholar 

  • Richardson, V. (1996). The role of attitudes and beliefs in learning to teach. In J. Sikula (Ed.),Handbook of research on teacher education (2nd ed.) (pp. 102–119). New York: Association of Teacher Educators.

    Google Scholar 

  • Rothman, S., & McMillan, J. (2003).Influences on achievement in literacy and numeracy. LSAY Research Report Number 36. Melbourne: Australian Council for Educational Research.

  • Rothman, S., & McMillan, J. (2004). Signposts to improved test scores in literacy and numeracy.EQ Australia, 1, 24–26.

    Google Scholar 

  • Schloss, P. J., & Smith, M. A. (1999).Conducting research. Upper Saddle River, NJ: Prentice-Hall.

    Google Scholar 

  • Schreiber, J. B. (2002). Institutional and student factors and their influence on advanced mathematics achievement.The Journal of Educational Research, 95(5), 274–286.

    Article  Google Scholar 

  • Schuck, S., & Grootenboer, P. J. (2004). Affective issues in mathematics education. In B. Perry, C. Diezmann & G. Anthony (Eds.),Review of mathematics education in Australasia 2000–2003 (pp. 53–74). Flaxton, QLD: Post Pressed.

    Google Scholar 

  • Spangler, D. A. (1992). Assessing students’ beliefs about mathematics.Arithmetic Teacher, 39(3), 109–113.

    Google Scholar 

  • Stevens, J. (1996).Applied multivariate statistics for the social sciences (3rd ed.). Mahwah, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Stevens, T., Olivarez, A., Lan, W. Y., & Tallent-Runnels, M. K. (2004). Role of mathematics self-efficacy and motivation in mathematics performance across ethnicity.The Journal of Educational Research, 97(4), 208–221.

    Article  Google Scholar 

  • Tabachnick, B. G., & Fidell, L. S. (2001).Using multivariate statistics (4th ed.). Needham Heights, MA: Allyn & Bacon.

    Google Scholar 

  • Tate, W. F., & D’Ambrosio, B. S. (1997). Equity, mathematics reform, and research.Journal for Research in Mathematics Education, 28(6), 650–651.

    Article  Google Scholar 

  • Tovey, M. D. (1999).Mentoring in the workplace: A guide for mentors and mangers. Surry Hills, NSW: Prentice Hall.

    Google Scholar 

  • Walker, M., & Chamberlain, M. (1999). A brief overview of the Third International Mathematics and Science Study (TIMSS) including the conceptual framework for the study, sampling procedures, and a summary of key results for New Zealand.The Research Bulletin, 10(October), 41–55.

    Google Scholar 

  • Way, J., & Relich, J. (1993). Development of positive attitudes to mathematics: The perspective of pre-service teachers. In B. Atweh, C. Kanes, M. Carss, & G. Booker (Eds.),Contexts in Mathematics Education (Proceedings of the 16th annual conference of the Mathematics Education Research Group of Australasia, pp. 581–586). Brisbane, Australia: MERGA.

    Google Scholar 

  • Wilkins, J. L.M. (2000). Preparing for the 21st century: The status of quantitative literacy in the United States.School Science and Mathematics, 100(8), 405–418.

    Article  Google Scholar 

  • Wilkins, J. L. M., & Ma, X. (2003). Modeling change in student attitude toward and beliefs about mathematics.The Journal of Educational Research, 97(1), 52–63.

    Article  Google Scholar 

  • Young-Loveridge, J. (1992). Attitudes towards mathematics: Insights into the thoughts and feelings of nine-year-olds. In B. Bell, A. Begg, F. Biddulph, M. Carr, M. Carr, J. McChesney, & J. Young-Loveridge (Eds.),SAMEpapers 1992 (pp. 90–116). Hamilton, NZ: Centre for Science and Mathematics Education Research.

    Google Scholar 

  • Young-Loveridge, J., Taylor, M., Sharma, S., & Hawera, N. (2006). Students’ perspectives on the nature of mathematics. In P. Grootenboer, R. Zevenbergen, & M. Chinnappan (Eds.)Identities, cultures and learning spaces (Proceedings of the 29th annual conference of Mathematics Education Research Group of Australasia, Vol. 2, pp. 583–590). Sydney: MERGA.

    Google Scholar 

  • Zembylas, M. (2004). Young children’s emotional practices while engaged in long-term science investigation.Journal of Research in Science Teaching, 41(7), 693–719.

    Article  Google Scholar 

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Grootenboer, P., Hemmings, B. Mathematics performance and the role played by affective and background factors peter grootenboer and brian hemmings. Math Ed Res J 19, 3–20 (2007). https://doi.org/10.1007/BF03217459

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