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Undergraduate mathematics students’ emotional experiences in Linear Algebra courses

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Abstract

Little is known about students’ emotions in the field of Mathematics Education that go beyond students’ emotions in problem solving. To start filling this gap this qualitative research has the aim to identify emotional experiences of undergraduate mathematics students in Linear Algebra courses. In order to obtain data, retrospective focus group interviews were carried out with 27 students. Data analysis is based on the theory of cognitive structure of emotions, which specifies eliciting conditions for each emotion and the variables that affect intensity of emotions. Results show that the participants’ emotional experiences in Linear Algebra courses are: satisfaction and disappointment emotions, fear emotions, distress emotions and self-reproach emotions. These emotions are triggered by the appraisal of different situations like the difficulty attributed to Linear Algebra courses, solving problems, asking questions in class, going to the blackboard to solve problems and failure in a course. The students’ emotional experiences are based on their appraisal of the situations in terms of specific goals and standards. Some implications for future research on affect in Mathematics Education are discussed.

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References

  • Adams, V. M., & McLeod, D. B. (1989). Affect and mathematical problem solving. A new perspective. New York: Springer Verlag.

    Google Scholar 

  • Aydin, S. (2014). Using example generation to explore students’ understanding of the concepts of linear dependence/independence in linear algebra. International Journal of Mathematical Education in Science and Technology, 0(0), 1–14. http://doi.org/10.1080/0020739X.2013.877606

  • Daher, W. (2015). Discursive positionings and emotions in modelling activities. International Journal of Mathematical Education in Science and Technology. doi:10.1080/0020739X.2015.1031836.

    Google Scholar 

  • DeBellis, V. A., & Goldin, G. A. (2006). Affect and meta-affect in mathematical problem solving: a representational perspective. Educational Studies in Mathematics, 63(2), 131–147. doi:10.1007/s10649-006-9026-4

  • De Corte, E., Depaepe, F., Op’t Eynde, P., & Verschaffel, L. (2011). Students’ self-regulation of emotions in mathematics: an analysis of meta-emotional knowledge and skills. ZDM The International Journal on Mathematics Education, 43(4), 483–495. doi:10.1007/s11858-011-0333-6

    Article  Google Scholar 

  • Di Martino, P., & Zan, R. (2011). Attitude towards mathematics: a bridge between beliefs and emotions. ZDM The International Journal on Mathematics Education, 43(4), 471–482. doi:10.1007/s11858-011-0309-6

    Article  Google Scholar 

  • Di Martino, P., Coppola, C., Mollo, M., Pacelli, T., Sabena, C. (2013). Pre-service primary teachers’ emotions: The math-redemption phenomenon. In A. M. Lindmeier & A. Heinze (Eds.), Proceedings of the 37th Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 225–232). Kiel, Germany: PME.

  • Dorier, J. L. (1995). Meta level in the teaching of unifying and generalizing concepts in mathematics. Educational Studies in Mathematics, 29(2), 175–197. doi:10.1007/BF01274212

    Article  Google Scholar 

  • Dorier, J. L. (Ed.). (2002a). On the teaching of linear algebra (Vol. 23). Dordrecht: Kluwer Academic Publishers. http://doi.org/10.1007/0-306-47224-4

  • Dorier, J. L. (2002b). Teaching linear algebra at university. In T. Li (Ed.), Proceedings of the International Congress of Mathematicians, ICM (pp. 875–884). Beijing: Higher Education Press.

  • Dorier, J. L., Robert, A., Robinet, J. R., & Rogalski, M. (2000). The obstacle of formalism in linear algebra. In J. L. Dorie (Ed.), On the teaching of linear algebra (pp. 85–124). Netherlands: Kluwer Academic Publishers.

    Google Scholar 

  • Ellsworth, P. C. (2013). Appraisal theory: Old and new questions. Emotion Review, 5(2), 125–131. doi:10.1177/1754073912463617

  • Ellsworth, P. C., & Scherer, K. R. (2009). Appraisal processes in emotion. In R. J. Davidson, K. R. Scherer, & H. H. Goldsmith (Eds.), Handbook of affective sciences (pp. 572–595). New York: Oxford University Press.

    Google Scholar 

  • Evans, J. (2002). Developing research conceptions of emotion among adult learners of mathematics. Literacy and Numeracy Studies Special Issue on Adults Learning Mathematics, 11(2), 79–94.

    Google Scholar 

  • Evans, J. (2006). Affect in mathematical thinking and learning; the turn to the social: Sociocultural approaches introduction: Recent developments in research on affect. In J. Maasz & W. Schloeglmann (Eds.), New mathematics education research and practice (pp. 233–255). Rotterdam: Sense Publishers.

    Google Scholar 

  • Evans, J., Morgan, C., & Tsatsaroni, A. (2006). Discursive positioning and emotion in school mathematics practices. Educational Studies in Mathematics, 63(2), 209–226. doi:10.1007/s10649-006-9029-1

    Article  Google Scholar 

  • Goldin, G. A. (2000). Affective pathways and representation in mathematical problem solving. Mathematical Thinking and Learning, 2(3), 209–219. doi:10.1207/S15327833MTL0203_3

    Article  Google Scholar 

  • Goldin, G. A. (2014). Perspectives on emotion in mathematical engagement, learning, and problem solving. In R. Pekrun & L. Linnenbrink-Garcia (Eds.), International handbook of emotions in education (pp. 391–414). New York: Routledge.

    Google Scholar 

  • Goldin, G. A., Epstein, Y. M., Schorr, R. Y., & Warner, L. B. (2011). Beliefs and engagement structures: Behind the affective dimension of mathematical learning. ZDM The International Journal on Mathematics Education, 43(4), 547–560. doi:10.1007/s11858-011-0348-z

  • Hannula, M. S. (2006). Motivation in mathematics: Goals reflected in emotions. Educational Studies in Mathematics, 63(2), 165–178. doi:10.1007/s10649-005-9019-8

  • Hannula, M. S. (2012). Exploring new dimensions of mathematics-related affect: Embodied and social theories. Research in Mathematics Education, 14(2), 137–161. doi:10.1080/14794802.2012.694281

  • Hannula, M. S., Pantziara, M., Wæge, K., Schlöglmann, W. (2010). Introduction multimethod approaches to the multidimensional affect in mathematics education. In V. Durand-Guerrier, S. Soury-Lavergne, & F. Arzarello (Eds.), Proceedings of the Sixth Congress of the European Society for Research (pp. 28–33). Lyon, France: CERME.

  • Imada, T., & Ellsworth, P. C. (2011). Proud Americans and lucky Japanese: Cultural differences in appraisal and corresponding emotion. Emotion, 11, 329–345.

  • Keller, M. M., Frenzel, A. C., Goetz, T., Pekrun, R., & Hensley, L. (2014). Exploring teacher emotions. In P. W. Richardson, S. A. Karabenick, & H. M. G. Watt (Eds.), Teacher motivation: Theory and practice (pp. 69–82). New York: Routledge.

    Google Scholar 

  • Mandler, G. (1989). Affect and learning: Causes and consequences of emotional interactions. In D. B. McLeod & V. M. Adams (Eds.), Affect and mathematical problem solving: A new perspective (pp. 3–19). New York: Springer Verlag.

    Chapter  Google Scholar 

  • Martínez-Sierra, G., & García-González, M.D.S. (2014). High school students' emotional experiences in mathematics classes. Research in Mathematics Education, 16 (3), 234–250.

  • McCulloch, A. W. (2011). Affect and graphing calculator use. The Journal of Mathematical Behavior, 30(2), 166–179. doi:10.1016/j.jmathb.2011.02.002

    Article  Google Scholar 

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

    Google Scholar 

  • Meyer, D. K., & Turner, J. C. (2006). Re-conceptualizing emotion and motivation to learn in classroom contexts. Educational Psychology Review, 18(4), 377–390. doi:10.1007/s10648-006-9032-1

    Article  Google Scholar 

  • Moors, A., Ellsworth, P. C., Scherer, K. R., & Frijda, N. H. (2013). Appraisal theories of emotion: State of the art and future development. Emotion Review, 5(2), 119–124. doi:10.1177/1754073912468165

  • Oatley, K., & Johnson-Laird, P. N. (2014). Cognitive approaches to emotions. Trends in Cognitive Sciences, 18(3), 134––40. doi:10.1016/j.tics.2013.12.004

    Article  Google Scholar 

  • Op’ T Eynde, P., De Corte, E., & Verschaffel, L. (2006). Accepting emotional complexity”: A socio-constructivist perspective on the role of emotions in the mathematics classroom. Educational Studies in Mathematics, 63(2), 193–207. doi:10.1007/s10649-006-9034-4

  • Op’ T Eynde, P., De Corte, E., & Verschaffel, L. (2007). Students’ emotions: A key component of self-regulated learning? In P. A. Schutz & R. Pekrun (Eds.), Emotion in education (pp. 185–204). Burlington: Academic.

    Chapter  Google Scholar 

  • Ortony, A., Clore, G. L., & Collins, A. (1988). The cognitive structure of emotions. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  • Pantziara, M., & Philippou, G. N. (2015). Students’ motivation in the mathematics classroom. Revealing causes and consequences. International Journal of Science and Mathematics Education, 13(2), 385–411. doi:10.1007/s10763-013-9502-0

    Article  Google Scholar 

  • Parraguez, M., & Oktaç, A. (2010). Construction of the vector space concept from the viewpoint of APOS theory. Linear Algebra and Its Applications, 432(8), 2112–2124. doi:10.1016/j.laa.2009.06.034

    Article  Google Scholar 

  • Pekrun, R. (2006). The control-value theory of achievement emotions: Assumptions, corollaries, and implications for educational research and practice. Educational Psychology Review, 18(4), 315–341. doi:10.1007/s10648-006-9029-9

  • Pekrun, R., Goetz, T., Titz, W., & Perry, R. P. (2002). Academic emotions in students’ self-regulated learning and achievement: A program of qualitative and quantitative research. Educational Psychologist, 37(2), 91–105. doi:10.1207/S15326985EP3702_4

  • Pekrun, R., Frenzel, A. C., Goetz, T., & Perry, R. P. (2007). The control-value theory of achievement emotions: An integrative approach to emotions in education. In P. A. Schutz & R. Pekrun (Eds.), Emotion in education (pp. 13–36). Amsterdam: Academic.

    Chapter  Google Scholar 

  • Pepin, B., & Roesken-Winter, B. (Eds.) (2015). From beliefs to dynamic affect systems in mathematics education. Zürich, Switzerland: Springer. http://doi.org/10.1007/978-3-319-06808-4

  • Radford, L. (2015). Of Love, Frustration, and Mathematics: A Cultural-Historical Approach to Emotions in Mathematics Teaching and Learning. In B. Pepin & B. Roesken-Winter (Eds.), From beliefs to dynamic affect systems in mathematics education (pp. 25–49). Springer International Publishing. http://doi.org/10.1007/978-3-319-06808-4_2

  • Schoenfeld, A. H. (1985). Mathematical problem solving. San Diego: Academic.

    Google Scholar 

  • Turner, J. C., Warzon, K. B., & Christensen, A. (2010). Motivating mathematics learning: Changes in teachers’ practices and beliefs during a nine-month collaboration. American Educational Research Journal, 48(3), 718–762. doi:10.3102/0002831210385103

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Acknowledgments

The research reported in this article was supported by the National Council of Science and Technology of Mexico (CONACYT, Basic Scientific Research 2012: 178564) and by Autonomous University of Guerrero (México). We appreciate the help of the teacher Ofelia Montelongo in conducting the fieldwork and the help of Marisa Miranda Tirado in revising this manuscript. We are very grateful to the anonymous reviewers for their valuable suggestions for improving this paper.

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Correspondence to Gustavo Martínez-Sierra.

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Martínez-Sierra, G., García-González, M. Undergraduate mathematics students’ emotional experiences in Linear Algebra courses. Educ Stud Math 91, 87–106 (2016). https://doi.org/10.1007/s10649-015-9634-y

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