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Interest in mathematics = interest in mathematics? What general measures of interest reflect when the object of interest changes

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Abstract

Students’ motivational characteristics, e.g., subject-related interest, are considered important predictors for successful learning processes. However, few empirical studies provide evidence for the assumed chain of effects between high interest and high achievement in mathematics. One reason for this result might be that the applied measures of learners’ interest in mathematics are not well aligned with the characteristics of the learning content in the respective educational settings. At the transition from school to university, the character of mathematics shifts from a strongly application oriented school subject to a scientific discipline. When students are asked to rate their interest concerning mathematics learning in general, it is not clear which character of mathematics they refer to (in their ratings). To provide a more differentiated picture of learners’ interest, we developed questionnaires that survey students’ interest concerning the different characters of mathematics explicitly. With a sample of 323 students from academic mathematics programs, we analysed the quality of the developed scales and whether it is possible to differentiate interest facets according to the different characters of mathematics. In this contribution, we present the development of the instruments. The results of exploratory factor analyses and correlation analyses provide support for the quality of the developed instruments. Our results indicate that indeed the character of mathematics addressed in the questionnaire strongly influences students’ self-reports. Finally, we study how the differentiated interest constructs are related to general ratings of interest in mathematics.

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Notes

  1. Also similar self-concept measures were developed, and an additional type of interest scales that use concrete mathematical tasks as stimuli to situate the interest items (cf. Rach et al., accepted).

  2. FIML: Full Information Maximum Likelihood.

  3. Inclusion of prior knowledge on calculus and secondary school qualification grade did not change the results from model 4. Both new predictors did not show a substantial contribution to variance explanation.

References

  • Ainley, M., Hidi, S., & Berndorff, D. (2002). Interest, learning and the psychological processes that mediate their relationship. Journal of Educational Psychology, 94(3), 545–561.

    Article  Google Scholar 

  • Bless, H., Fellhauer, R., Bohner, G., & Schwarz, N. (1991). Need for cognition: eine Skala zur Erfassung von Engagement und Freude bei Denkaufgaben [Need for cognition: A scale for measuring commitment and joy when solving problems]. Retrieved April 29, 2016, from http://www.ssoar.info/ssoar/handle/document/6889.

  • Burn, H., Mesa, V., & Arbor, A. (2015). The Calculus I curriculum. In D. Bressoud, V. Mesa & C. Rasmussen (Eds.), Insights and recommendations from the MAA National Study of College Calculus (pp. 45–58). MAA press.

  • CCSSI. (2010). Common core state standards for mathematics. Retrieved April 30, 2016, from http://www.corestandards.org/wp-content/uploads/Math_Standards1.pdf.

  • Cronbach, L., & Meehl, P. (1955). Construct validity in psychological tests. Psychological Bulletin, 52(4), 281–302.

    Article  Google Scholar 

  • Deci, R., & Ryan, E. (2000). Self-determination theory and the facilitation of intrinsic motivation, social development, and well-being. American Psychologist, 55(1), 68–78.

    Article  Google Scholar 

  • Dieter, M. (2012). Studienabbruch und Studienfachwechsel in der Mathematik: Quantitative Bezifferung und empirische Untersuchung von Bedingungsfaktoren [Drop-out and change of study in mathematics: Quantification and empirical analysis of factors] (Doctoral dissertation). Retrieved August 29, 2016, from http://duepublico.uni-duisburg-essen.de/servlets/DocumentServlet?id=28564.

  • Dörfler, W., & McLone, R. (1986). Mathematics as a school subject. In B. Christiansen, A. Howson & M. Otte (Eds.), Perspectives on mathematics education (pp. 49–97). Dordrecht: Reidel.

    Chapter  Google Scholar 

  • Eccles, J., & Wigfield, A. (2002). Motivational beliefs, values, and goals. Annual Review of Psychology, 53, 109–132.

    Article  Google Scholar 

  • Eilerts, K. (2009). Kompetenzorientierung in der Mathematik-Lehrerausbildung: Empirische Untersuchung zu ihrer Implementierung [Competence orientation in mathematics teacher education: An empirical study about its implementation]. Zürich: LIT Verlag.

    Google Scholar 

  • Engelbrecht, J. (2010). Adding structure to the transition process to advanced mathematical activity. International Journal of Mathematical Education in Science and Technology, 41(2), 143–154.

    Article  Google Scholar 

  • Epp, S. (2003). The role of logic in teaching proof. The American Mathematical Monthly, 110(10), 886–899.

    Article  Google Scholar 

  • Fenollar, P., Román, S., & Cuestas, P. (2007). University students’ academic performance: An integrative conceptual framework and empirical analysis. The British Psychological Society, 77(4), 873–891.

    Google Scholar 

  • Frenzel, A., Pekrun, R., Dicke, A.-L., & Goetz, T. (2012). Beyond quantitative decline: Conceptual shifts in adolescents’ development of interest in mathematics. Developmental Psychology, 48(4), 1069–1082.

    Article  Google Scholar 

  • Frenzel, A. C., Goetz, T., Pekrun, R., & Watt, H. (2010). Development of mathematics interest in adolescence: Influences of gender, family, and school context. Journal of Research on Adolescence, 20(2), 507–537.

    Article  Google Scholar 

  • Gogol, K., Brunner, M., Preckel, F., Goetz, T., & Martin, R. (2016). Developmental dynamics of general and school-subject-specific components of academic self-concept, academic interest, and academic anxiety. Frontiers in Psychology, 7, 356.

    Article  Google Scholar 

  • Gueudet, G. (2008). Investigating the secondary-tertiary transition. Educational Studies in Mathematics, 67(3), 237–254.

    Article  Google Scholar 

  • Hailikari, T., Nevgi, A., & Komulainen, E. (2008). Academic self-beliefs and prior knowledge as predictors of student achievement in mathematics: A structural model. Educational Psychology: An International Journal of Experimental Educational Psychology, 28(1), 59–71.

    Article  Google Scholar 

  • Healy, L., & Hoyles, C. (1998). Technical report on the nationwide survey: Justifying and proving in school mathematics. London: University of London.

    Google Scholar 

  • Heinze, A., Reiss, K., & Rudolph, F. (2005). Mathematics achievement and interest in mathematics from a differential perspective. ZDM-The International Journal on Mathematics Education, 37(3), 212–220.

    Article  Google Scholar 

  • Hidi, S. (1990). Interest and its contribution as a mental resource for learning. Review of Educational Research, 60(4), 549–571.

    Article  Google Scholar 

  • Hidi, S. (1995). A reexamination of the role of attention in learning from text. Educational Psychology Review, 7(4), 323–350.

    Article  Google Scholar 

  • Hidi, S., & Renninger, K. A. (2006). The four-phase model of interest development. Educational Psychologist, 41(2), 111–127.

    Article  Google Scholar 

  • Hoyles, C., Newman, K., & Noss, R. (2001). Changing patterns of transition from school to university mathematics. International Journal of Mathematical Education in Science and Technology, 32(6), 829–845.

    Article  Google Scholar 

  • John, P., Naumann, L., & Soto, C. (2010). Paradigm shift to the integrative big five trait taxonomy: History, measurement, and conceptual issues. In P. John, R. Robins & L. Perwin. (Eds.), Handbook of personality: Theory and practice (pp. 114–159). New York: Guilford Press.

    Google Scholar 

  • Jordan, A., Krauss, S., Löwen, K., Blum, W., Neubrand, M., Brunner, M., et al. (2008). Aufgaben im COACTIV-Projekt: Zeugnisse des kognitiven Aktivierungspotentials im deutschen Mathematikunterricht [Tasks in the COACTIV-Project: Evidence of the potential for cognitive activation in German mathematics classes]. Journal für Mathematik-Didaktik, 29(2), 83–107.

    Article  Google Scholar 

  • Kiemer, K., Gröschner, A., Pehmer, A.-K., & Seidel, T. (2015). Effects of a classroom discourse intervention on teachers’ practice and students’ motivation to learn mathematics and science. Learning and Instruction, 35, 94–103. doi:10.1016/j.learninstruc.2014.10.003.

    Article  Google Scholar 

  • KMK (2012). Bildungsstandard im Fach Mathematik für die Allgemeine Hochschulreife [Education standards in mathematics for the higher education entrance qualification]. Retrieved April 29, 2016, from http://www.kmk.org/fileadmin/Dateien/veroeffentlichungen_beschluesse/2012/2012_10_18-Bildungsstandards-Mathe-Abi.pdf.

  • Köller, O., Baumert, J., & Schnabel, K. (2001). Does interest matter? The relationship between academic interest and achievement in mathematics. Journal for Research in Mathematics Education, 32(5), 448–470.

    Article  Google Scholar 

  • Kolter, J., Liebendörfer, M., & Schukajlow, S. (2016). Mathe–nein danke? Interesse, Beliefs und Lernstrategien im Mathematikstudium bei Grundschullehramtsstudierenden mit Pflichtfach [Mathematics–no thanks? Interest, beliefs, and learning strategies of primary teacher students with compulsory subject mathematics]. In A. Hoppenbrock, R. Biehler, R. Hochmuth & H.-G. Rück (Eds.), Lehren und Lernen von Mathematik in der Studieneingangsphase (pp. 567–583). Wiesbaden: Springer Spektrum.

    Chapter  Google Scholar 

  • Krapp, A. (2002). Structural and dynamic aspects of interest development: Theoretical considerations from an ontogenetic perspective. Learning and Instruction, 12(4), 383–409.

    Article  Google Scholar 

  • Krapp, A., & Prenzel, M. (2011). Research on interest in science: Theories, methods, and findings. International Journal of Science Education, 33(1), 27–50.

    Article  Google Scholar 

  • Krug, A., & Schukajlow, S. (2013). Problems with and without connection to reality and students’ task-specific interest. In A. Lindmeier & A. Heinze (Eds.), Proceedings of the 37th Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 209–216). Kiel: PME.

  • Lapan, R., Shaughnessy, P., & Boggs, K. (1996). Efficacy expectations and vocational interests as mediators between sex and choice of math/science college majors: A longitudinal study. Journal of Vocational Behavior, 49(3), 277–291.

    Article  Google Scholar 

  • Lee, W., Lee, M.-J., & Bing, M. (2014). Testing interest and self-efficacy as predictors of academic self-regulation and achievement. Contemporary Educational Psychology, 39, 86–99.

    Article  Google Scholar 

  • Liebendörfer, M., & Hochmuth, R. (2013). Interest in mathematics and the first steps at the university. In Proceedings of the Eighth Conference of European Research in Mathematics Education (pp. 2386–2395).

  • Malmivuori, M.-L. (2006). Affect and self-regulation. Educational Studies in Mathematics, 63(2), 149–164.

    Article  Google Scholar 

  • Marsh, H., Trautwein, U., Lüdtke, O., Köller, O., & Baumert, J. (2005). Academic self-concept, interest, grades, and standardized test scores: Reciprocal effects models of causal ordering. Child Development, 76(2), 397–416.

    Article  Google Scholar 

  • Murphy, P., & Alexander, P. A. (2000). A motivated exploration of motivation terminology. Contemporary Educational Psychology, 25, 3–53.

    Article  Google Scholar 

  • Muthén, B., & Muthén, L. (1998–2015). Mplus (Version 7). Los Angeles, CA: Muthén & Muthén.

  • OECD (2016). “PISA 2015 mathematics framework”. In: PISA 2015 assessment and analytical framework: Science, reading, mathematic and financial literacy. Paris: OECD Publishing.

    Chapter  Google Scholar 

  • Ottinger, S., Kollar, I., & Ufer, S. (2016). Content and form: All the same or different qualities of mathematical arguments? In C. Csíkos, A. Rausch, A., J. & Szitányi (Eds.), Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 19–26). Szeged, Hungary: PME.

  • Pekrun, R., Goetz, T., Titz, W., & Perry, R. P. (2002). Positive emotions in education. In E. Frydenberg (Ed.), Beyond coping. Meeting goals, visions, and challenges (pp. 149–173). Oxford: Oxford University Press.

    Chapter  Google Scholar 

  • Rach, S. (2014). Charakteristika von Lehr-Lern-Prozessen im Mathematikstudium: Bedingungsfaktoren für den Studienerfolg im ersten Semester [Characteristics of teaching-learning-processes: Conditional factors of study success in the first semester]. Münster: Waxmann.

    Google Scholar 

  • Rach, S., & Heinze, A. (2016). The transition from school to university in mathematics: Which influence do school-related variables have? International Journal of Science and Mathematics Education (online first). doi:10.1007/s10763-016-9744-8.

    Google Scholar 

  • Rach, S., Kosiol, T., & Ufer, S. (accepted). Interest and self-concept concerning two characters of mathematics: All the same, or different effects? KHDM-reports.

  • Schiefele, U. (2009). Situational and individual interest. In K. R. Wentzel & A. Wigfield (Eds.), Handbook of motivation at school Educational Psychology Handbook Series, (pp. 197–222). New York: Routledge.

    Google Scholar 

  • Schiefele, U., Krapp, A., & Winteler, A. (1992). Interest as a predictor of academic achievement: A meta-analysis of research. In K. A. Renninger, S. Hidi & A. Krapp (Eds.), The role of interest in learning and development (pp. 183–212). Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.

    Google Scholar 

  • Schukajlow, S., & Krug, A. (2014). Are interest and enjoyment important for students’ performance? In P. Liljedahl, C. Nicol, S. Oesterle & D. Allan (Eds.), Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education (Vol. 5, pp. 129–136). Vancouver: PME.

  • Schupp, J., & Gerlitz, J.-Y. (2014). Big five inventory-SOEP (BFI-S). Zusammenstellung sozialwissenschaftlicher Items und Skalen. [Big five inventory-SOEP (BFI-S): Compilation of sociological items and scales]. doi:10.6102/zis54.

  • Silvia, P. (2005). What is interesting? Exploring the appraisal structure of interest. Emotion, 5(1), 89–102.

    Article  Google Scholar 

  • Sonnert, G., & Sadler, P. (2015). The impact of instructor and institutional factors on students’ attitudes. In D. Bressoud, V. Mesa & C. Rasmussen (Eds.), Insights and recommendations from the MAA National Study of College Calculus (pp. 17–30). MAA press.

  • Stroet, K., Opdenakker, M.-C., & Minnaert, A. (2015). What motivates early adolescents for school? A longitudinal analysis of associations between observed teaching and motivation. Contemporary Educational Psychology, 42, 129–140.

    Article  Google Scholar 

  • Thomas, M., & Klymchuk, S. (2012). The school-tertiary interface in mathematics: Teaching style and assessment practice. Mathematics Education Research Journal, 24(3), 283–300.

    Article  Google Scholar 

  • Ufer, S. (2015). The role of study motives and learning activities for success in first semester mathematics studies. In K. Beswick, T. Muir & J. Wells (Eds.), Proceedings of the 39th Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 265–272). Hobart, Australia: PME.

  • Vollstedt, M., Heinze, A., Gojdka, K., & Rach, S. (2014). Framework for examining the transformation of mathematics and mathematics learning in the transition from school to university. In S. Rezat, M. Hattermann & A. Peter-Koop (Eds.), Transformation: A fundamental idea of mathematics education (pp. 29–50). New York: Springer.

    Chapter  Google Scholar 

  • von Stumm, S., Hell, B., & Chamorro-Premuzic, T. (2011). The hungry mind: Intellectual curiosity is the third pillar of academic performance. Perspectives on Psychological Science, 6(6), 574–588. doi:10.1177/1745691611421204.

    Article  Google Scholar 

  • Wiernik, B. M., Dilchert, S., & Ones, D. S. (2016). Creative interests and personality: Scientific versus artistic creativity. Zeitschrift für Arbeits-und Organisationspsychologie, 60(2), 65–78.

    Article  Google Scholar 

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Correspondence to Stefan Ufer.

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Ufer, S., Rach, S. & Kosiol, T. Interest in mathematics = interest in mathematics? What general measures of interest reflect when the object of interest changes. ZDM Mathematics Education 49, 397–409 (2017). https://doi.org/10.1007/s11858-016-0828-2

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