Abstract
Little research in the field of Mathematics Education is directed towards emotions of students beyond their emotions in problem-solving. In particular, the daily emotions of students in a mathematics class have been sparsely studied in the field of mathematics education. In order to fill this gap, this qualitative research aims to identify high school students’ emotional experiences in the mathematics classroom and identify the appraisal structures that support such emotional experiences. Focus group interviews were carried out until theoretical saturation of the data was achieved (N = 53 in nine focus groups interviews). Data analysis is based on the theory of cognitive structure of emotions, which specifies eliciting situations for each emotion and the variables that affect intensity. The emotional experiences in this structure are as follows: satisfaction, disappointment, hope, fear, joy, distress, boredom, interest, pride, reproach, self-reproach, like and dislike. These results show that the emotional experiences of students are based on their appraisals of events, objects and agents in terms of a structure of goals.
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References
Adams, V. M. & McLeod, D. B. (1989). Affect and mathematical problem solving. A new perspective. New York, NY: Springer Verlag.
Ainley, M. (2007). Being and feeling interested: Transient state, mood, and disposition. In P. A. Schutz & R. Pekrun (Eds.), Emotion in education (pp. 147–163). San Diego, CA: Elsevier.
Ainley, M. (2010). Interest. In S. Järvelä (Ed.), Social and emotional aspects of learning (pp. 3–8). Oxford, United Kingdom: Elsevier.
Ashcraft, M. H. & Krause, J. A. (2007). Working memory, math performance, and math anxiety. Psychonomic Bulletin & Review, 14(2), 243–248. doi:10.3758/BF03194059.
Bekdemir, M. (2010). The pre-service teachers’ mathematics anxiety related to depth of negative experiences in mathematics classroom while they were students. Educational Studies in Mathematics, 75(3), 311–328. doi:10.1007/s10649-010-9260-7.
Belton, T. & Priyadharshini, E. (2007). Boredom and schooling: A cross-disciplinary exploration. Cambridge Journal of Education, 37(4), 579–595. doi:10.1080/03057640701706227.
Brousseau, G. (1997). Theory of didactical situations in mathematics 1970–1990. Dordrecht, The Netherlands: Kluwer.
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.
Frenzel, A. C., Pekrun, R., & Goetz, T. (2007). Perceived learning environment and students’ emotional experiences: A multilevel analysis of mathematics classrooms. Learning and Instruction, 17(5), 478–493. doi:10.1016/j.learninstruc.2007.09.001.
Frijda, N. H. (2007). The laws of emotion. New York, NY: Erlbaum.
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.
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, NY: Routledge.
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: INRP.
Hembree, R. (1990). The nature, effects, and relief of mathematics anxiety. Journal for Research in Mathematics Education, 21(1), 33–46. doi:10.2307/749455.
Hidi, S. (2006). Interest: A unique motivational variable. Educational Research Review, 1(2), 69–82. doi:10.1016/j.edurev.2006.09.001.
Kim, C. & Pekrun, R. (2014). Emotions and motivation in learning and performance. In J. M. Spector, M. D. Merrill, J. Elen & M. J. Bishop (Eds.), Handbook of research on educational communications and technology (pp. 65–75). New York, NY: Springer. doi:10.1007/978-1-4614-3185-5.
Kitzinger, J. (1995). Education and debate qualitative research: Introducing focus groups. British Medical Journal, 302, 299–302.
Krueger, R. (1994). Focus groups: A practical guide for applied research. Thousand Oaks, CA: Sage.
Larkin, K. & Jorgensen, R. (2015). “I hate Maths: Why do we need to do Maths?” Using iPad video diaries to investigate attitudes and emotions towards mathematics in year 3 and year 6 students. International Journal of Science and Mathematics Education. Advance online publication. doi:10.1007/s10763-015-9621-x.
Lazarus, R. (1991). Emotion and adaptation. New York, NY: Oxford University Press.
Lewis, G. (2013). Emotion and disaffection with school mathematics. Research in Mathematics Education, 15(1), 70–86. doi:10.1080/14794802.2012.756636.
Ma, X., Xu, J. & Xu, J. (2004). The causal ordering of mathematics anxiety and mathematics achievement: A longitudinal panel analysis. Journal of Adolescence, 27(2), 165–179. doi:10.1016/j.adolescence.2003.11.003.
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. doi:10.1080/14794802.2014.895676.
Martínez-Sierra, G., & García-González, M. S. (2015). Undergraduate mathematics students’ emotional experiences in linear algebra. Educational Studies in Mathematics 1–20. doi: 10.1007/s10649-015-9634-y
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.
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.
Morgan, D. (1997). Focus groups as qualitative research. Thousand Oaks, CA: Sage.
Nett, U. E., Goetz, T. & Hall, N. C. (2011). Coping with boredom in school: An experience sampling perspective. Contemporary Educational Psychology, 36(1), 49–59. doi:10.1016/j.cedpsych.2010.10.003.
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, MA: Academic Press.
Ortony, A., Clore, G. L. & Collins, A. (1988). The cognitive structure of emotions. Cambridge, United Kingdom: Cambridge University Press.
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.
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.
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). Gewerbestrasse, Switzerland: Springer International. doi:10.1007/978-3-319-06808-4_2.
Richardson, F. & Siunn, R. (1972). The mathematics anxiety rating scale: Psychometric data. Journal of Counseling Psychology, 196, 551–554.
Schoenfeld, A. H. (1985). Mathematical problem solving. San Diego, CA: Academic Press.
Schorr, R. Y. & Goldin, G. A. (2008). Students’ expression of affect in an inner-city simcalc classroom. Educational Studies in Mathematics, 68(2), 131–148. doi:10.1007/s10649-008-9117-5.
Silvia, P. J. (2005). What is interesting? Exploring the appraisal structure of interest. Emotion, 5(1), 89–102. doi:10.1037/1528-3542.5.1.89.
Silvia, P. J. (2008). Interest—The curious emotion. Current Directions in Psychological Science, 17(1), 57–60. doi:10.1111/j.1467-8721.2008.00548.x.
Wigfield, A. & Meece, J. L. (1988). Math anxiety in elementary and secondary school students. Journal of Educational Psychology, 80(2), 210–216. doi:10.1037//0022-0663.80.2.210.
Acknowledgments
The National Council of Science and Technology of Mexico (CONACYT, Basic Scientific Research 2012: 178564) and its Mixed Fund with the Government of the State of Guerrero supported this research. We appreciate the help of the teacher Maria Patricia Colin Uribe in conducting the fieldwork and the help of Marisa Miranda Tirado in revising this manuscript.
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Martínez-Sierra, G., García-González, M. Students’ Emotions in the High School Mathematical Class: Appraisals in Terms of a Structure of Goals. Int J of Sci and Math Educ 15, 349–369 (2017). https://doi.org/10.1007/s10763-015-9698-2
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DOI: https://doi.org/10.1007/s10763-015-9698-2