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ZDM

, Volume 49, Issue 3, pp 307–322 | Cite as

Emotions and motivation in mathematics education: theoretical considerations and empirical contributions

  • Stanislaw Schukajlow
  • K. Rakoczy
  • R. Pekrun
Survey Paper
First Online:

Abstract

Emotions and motivation are important prerequisites, mediators, and outcomes of learning and achievement. In this article, we first review major theoretical approaches and empirical findings in research on students’ emotions and motivation in mathematics, including a discussion of how classroom instruction can support emotions and motivation. Based on this review, we encourage researchers from mathematics education and other disciplines of educational research to combine their efforts. Second, we provide an overview of the contributions in this special issue, most of which reflect such a combination of efforts by considering perspectives from both mathematics education and other fields of educational research. Finally, we consider the neglect of intervention studies and outline directions for future research. We identify intervention studies that target emotions and motivation as one promising but so far underrepresented line of research in mathematics education and review results from existing intervention studies. For future research, we suggest that researchers should implement fine-grained concepts, assessment instruments, theoretical hypotheses, and methods of analysis tailored to the specific features of the mathematical domain to adequately investigate students’ emotions and motivation in this domain.

Keywords

Mathematics Education Goal Orientation Cooperative Learning Affective Variable Situational Interest 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

  1. Achmetli, K., Krug, A., & Schukajlow-Wasjutinski, S. (2015). Multiple Lösungsmöglichkeiten und ihre Nutzung beim mathematischen Modellieren. In G. Kaiser & H.-W. Henn (Eds.), Werner Blum und seine Beiträge zum Modellieren im Mathematikunterricht (pp. 25–41, Realitätsbezüge im Mathematikunterricht). Wiesbaden: Springer Fachmedien.CrossRefGoogle Scholar
  2. Achmetli, K., & Schukajlow, S. (2017). Multiple solution, the experience of comptence and interest. In M. Hannula, G. Leder, F. Morselli & Z. Quao Ping (Eds.), Affect, beliefs and identity in mathematics education. Heidelberg: Springer.Google Scholar
  3. Achmetli, K., Schukajlow, S., & Krug, A. (2014). Effects of prompting students to use multiple solution methods while solving real-world problems on students’ self-regulation. In C. Nicol, S. Oesterle, P. Liljedahl & D. Allan (Eds.), Proceedings of the Joint Meeting of PME 38 and PME-NA 36 (Vol. 2, pp. 1–8). Vancouver: PME.Google Scholar
  4. Eccles (Parson), J., Adler, T. F., Futterman, R., Goff, S. B., Kaczala, C. M., Meece, J. L., et al. (1983). Expectancies, values, and academic behaviors. In J. T. Spence (Ed.), Achievement and achievement motivation (pp. 75–146). San Francisco: Freeman.Google Scholar
  5. Ahmed, W., van der Werf, G., Kuyper, H., & Minnaert, A. (2013). Emotions, self-regulated learning, and achievement in mathematics: A growth curve analysis. Journal of Educational Psychology, 105(1), 150–161.CrossRefGoogle Scholar
  6. Bandura, A. (2003). Self-efficacy: The exercise of control (6. printing. ed.). New York: Freeman.Google Scholar
  7. Battista, M., Smith, M. S., Boerst, T., Sutton, J., Confrey, J., White, D., et al. (2009). Research in mathematics education: Multiple methods for multiple uses. Journal for Research in Mathematics Education, 40(3), 216–240.Google Scholar
  8. Beilock, S. L., Gunderson, E. A., Ramirez, G., & Levine, S. C. (2010). Female teachers’ math anxiety affects girls’ math achievement. Proceedings of the National Academy of Sciences, 107, 1860–1863.CrossRefGoogle Scholar
  9. Beswick, K. (2011). Putting context in context: An examination of the evidence for the benefits of contextualised tasks. International Journal of Science and Mathematics Education, 9(2), 367–390. doi: 10.1007/s10763-010-9270-z.CrossRefGoogle Scholar
  10. Bieg, M., Goetz, T., Sticca, F., Brunner, E., Becker, E., Morger, V., & Hubbard, K. (2017). Teaching methods and their impact on students’ emotions in mathematics: An experience-sampling approach. ZDM Mathematics Education. doi: 10.1007/s11858-017-0840-1.Google Scholar
  11. Bikner-Ahsbahs, A., & Halverscheid, S. (2014). Introduction to the theory of interest-dense situations (IDS). In Networking of theories as a research practice in mathematics education (pp. 97–113). Berlin: Springer.Google Scholar
  12. Blum, W., & Leiss, D. (2007). How do students and teachers deal with mathematical modelling problems? The example sugarloaf and the DISUM project. In C. Haines, P. L. Galbraith, W. Blum & S. Khan (Eds.), Mathematical modelling (ICTMA 12): Education, engineering and economics (pp. 222–231). Chichester: Horwood.CrossRefGoogle Scholar
  13. Bong, M., & Skaalvik, E. M. (2003). Academic self-concept and self-efficacy: How different are they really? Educational Psychology Review, 15, 1–40.CrossRefGoogle Scholar
  14. Brophy, J. E., & Good, T. L. (1986). Teacher behavior and student achivement. In M. C. Wittrock (Ed.), Handbook of research on teaching (3rd edn., pp. 328–375). New York: Macmillan.Google Scholar
  15. Buff, A., Reusser, K. & Dinkelmann, I. (2017). Parental support and enjoyment of learning in mathematics: Does change in parental support predict change in enjoyment of learning? ZDM Mathematics Education. doi: 10.1007/s11858-016-0823-7.Google Scholar
  16. Cambria, J., Brandt, H., Nagengast, B., & Trautwein, U. (2017). Frame of Reference effects on values in mathematics: Evidence from German secondary school students. ZDM Mathematics Education, 49. doi: 10.1007/s11858-017-0841-0.
  17. Campbell, R. J., Kyriakides, L., Muijs, R. D., & Robinson, W. (2004). Effective teaching and values: Some implications for research and teacher appraisal. Oxford Review of Education, 30(4), 451–465.CrossRefGoogle Scholar
  18. Carmichael, C., Callingham, R., & Watt, H. M. G. (2017). Classroom motivational environment influences on emotional and cognitive dimensions of student interest in mathematics. ZDM Mathematics Education. doi: 10.1007/s11858-016-0831-7.Google Scholar
  19. Chang, H., & Beilock, S. L. (2016). The math anxiety-math performance link and its relation to individual and environmental factors: A review of current behavioral and psychophysiological research. Current Opinion in Behavioral Science, 10, 33–38.CrossRefGoogle Scholar
  20. Deci, E. L., & Ryan, R. M. (2000). The “What” and “Why” of goal pursuits: Human needs and the selfdetermination of behavior. Psychological Inquiry, 11(4), 227–268.CrossRefGoogle Scholar
  21. Di Martino, P., Gómez-Chacón, I., Liljedahl, P., Morselli, F., Pantziara, M., & Schukajlow, S. (2015). Introduction to the papers of TWG08: Affect and mathematical thinking. In K. Krainer, & N. Vondrová (Eds.), Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education (pp. 1104–1108). Prague: Faculty of Education and ERME, Charles University in Prague.Google Scholar
  22. Dweck, C. S., & Elliott, S. (1983). Achievement motivation. In P. Mussen (Ed.), Handbook of child psychology: Socialization, personality, and social development (pp. 643–691). New York: Wiley.Google Scholar
  23. Eccles, J. S., & Wigfield, A. (2002). Motivational beliefs, values, and goals. Annual Review of Psychology, 53, 109–132.CrossRefGoogle Scholar
  24. Ekman, P. (1992). An argument for basic emotions. Cognition and Emotion, 6(3–4), 169–200.CrossRefGoogle Scholar
  25. Feng, S.-L., & Tuan, H.-L. (2005). Using ARCS model to promote 11th graders’ motivation and achievement in learning about acids and bases. International Journal of Science and Mathematics Education, 3(3), 463–484.CrossRefGoogle Scholar
  26. Frenzel, A. C. (2014). Teacher emotions. In R. Pekrun & E. A. Linnenbrink (Eds.), International handbook of emotions in education (pp. 494–519). New York: Routledge.Google Scholar
  27. Frenzel, A. C., Goetz, T., Ludtke, O., Pekrun, R., & Sutton, R. E. (2009). Emotional transmission in the classroom: Exploring the relationship between teacher and student enjoyment. Journal of Educational Psychology, 101(3), 705–716.CrossRefGoogle Scholar
  28. Frenzel, A. C., 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.CrossRefGoogle Scholar
  29. Gläser-Zikuda, M., Fuß, S., Laukenmann, M., Metz, K., & Randler, C. (2005). Promoting students’ emotions and achievement—instructional design and evaluation of the ECOLE-approach. Learning and Instruction, 15, 481–495.CrossRefGoogle Scholar
  30. Goetz, T., Frenzel, A. C., Pekrun, R., Hall, N. C., & Lüdtke, O. (2007). Between- and within-domain relations of students’ academic emotions. Journal of Educational Psychology, 99, 715–733.CrossRefGoogle Scholar
  31. Goetz, T., Lüdtke, O., Nett, U. E., Keller, M. M., & Lipnevich, A. A. (2013). Characteristics of teaching and students’ emotions in the classroom: Investigating differences across domains. Contemporary Educational Psychology, 38(4), 383–394.CrossRefGoogle Scholar
  32. Goldin, G. A. (2000). Affective pathways and representation in mathematical problem solving. Mathematical Thinking and Learning, 2(3), 209–219.CrossRefGoogle Scholar
  33. Gómez-Chacón, I. (2017). Emotions and heuristics: The state of perplexity in mathematics. ZDM Mathematics Education, 49. doi: 10.1007/s11858-017-0854-8.
  34. Grigutsch, S., Raatz, U., & Törner, G. (1998). Einstellungen gegenüber Mathematik bei Mathematiklehrern. Journal für Mathematikdidaktik, 98, 3–45.CrossRefGoogle Scholar
  35. Guthrie, J. T., Wigfield, A., Humenick, N. H., Perencevich, K. C., Taboada, A., & Barbosa, P. (2006). Influences of stimulating tasks on reading motivation and comprehension. Journal of Educational Research, 99(4), 232–247.CrossRefGoogle Scholar
  36. Hannula, M. S. (2006). Motivation in mathematics: Goals reflected in emotions. Educational Studies in Mathematics, 63, 165–178.CrossRefGoogle Scholar
  37. Hannula, M. S. (2015). Emotions in Problem Solving. In S. J. Cho (Ed.), Selected Regular Lectures from the 12th International Congress on Mathematical Education (pp. 269–288). Berlin: Springer.CrossRefGoogle Scholar
  38. Hannula, M. S., Evans, J., Philippou, G., & Zan, R. (2004). Affect in mathematics education–exploring theoretical frameworks. In Research Forum Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 107–136). Norway, Bergen: PME.Google Scholar
  39. Hidi, S., & Renninger, K. A. (2006). The four phase model of interest development. Educational Psychologist, 41(2), 111–127.CrossRefGoogle Scholar
  40. Hiebert, J., Gallimore, R., Garnier, H., Givvin, K. B., Hollingsworth, H., Jacobs, J., et al. (2003). Teaching mathematics in seven countries. Results from the TIMSS 1999 video study. Washington, DC: NCES.CrossRefGoogle Scholar
  41. Jacob, B., Frenzel, A. C., & Stephens, E. G. (2017). Good teaching feels good–but what is “good teaching”? Exploring teachers’ definitions of teaching success in mathematics. ZDM Mathematics Education, 49. doi: 10.1007/s11858-017-0848-6.
  42. Jacobs, J. E., Lanza, S., Osgood, D. W., Eccles, J. S., & Wigfield, A. (2002). Changes in children’s self-competence and values: Gender and domain differences across grades one through twelve. Child Development, 73(2), 509–527.CrossRefGoogle Scholar
  43. Klieme, E., Lipowsky, F., Rakoczy, K., & Ratzka, N. (2006). Qualitätsdimensionen und Wirksamkeit von Mathematikunterricht. Theoretische Grundlagen und ausgewählte Ergebnisse des Projekts “Pythagoras”. In M. Prenzel & L. Allolio-Nacke (Eds.), Untersuchungen zur Bildungsqualität von Schule. Abschlussbericht des DFG-Schwerpunktprogramms (pp. 127–146). Münster: Waxmann.Google Scholar
  44. 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.CrossRefGoogle Scholar
  45. Krapp, A. (2002). Structural and dynamic aspects of interest development: Theoretical considerations from an ontogenetic perspective. Learning and Instruction, 12, 383–409.CrossRefGoogle Scholar
  46. Krapp, A. (2005). Basic needs and the development of interest and intrinsic motivational orientations. Learning and Instruction, 15, 381–395.CrossRefGoogle Scholar
  47. Kunter, M., & Baumert, J. (2006). Who is the expert? Construct and criteria validity of student and teacher ratings of instruction. Learning Environments Research, 9(3), 231–251.CrossRefGoogle Scholar
  48. Larson, R. W., & Richards, M. H. (1991). Boredom in the middle school years. Blaming schools versus blaming students. American Journal of Education, 99(4), 418–443.CrossRefGoogle Scholar
  49. Lauermann, F., Eccles, J. S., & Pekrun, R. (2017). Why do children worry about their academic achievement? An expectancy-value perspective on elementary students’ worries about their mathematics and reading performance. ZDM Mathematics Education. doi: 10.1007/s11858-017-0832-1.Google Scholar
  50. Lazowski, R. A., & Hulleman, C. S. (2016). Motivation interventions in education: A meta-analytic review. Review of Educational Research, 86, 602–640.CrossRefGoogle Scholar
  51. Lichtenfeld, S., Pekrun, R., Stupnisky, R. H., Reiss, K., & Murayama, K. (2012). Measuring students’ emotions in the early years: The Achievement Emotions Questionnaire-Elementary School (AEQ-ES). Learning and Individual Differences, 22(2), 190–201.CrossRefGoogle Scholar
  52. Liebendörfer, M., & Schukajlow, S. (2017). Interest development during the first year at university: Do mathematical beliefs predict interest in mathematics? ZDM Mathematics Education. doi: 10.1007/s11858-016-0827-3.Google Scholar
  53. Lipowsky, F., Rakoczy, K., Pauli, C., Drollinger-Vetter, B., Klieme, E., & Reusser, K. (2009). Quality of geometry instruction and its short-term impact on students’ understanding of the Pythagorean Theorem. Learning and Instruction, 19(6), 527–537.CrossRefGoogle Scholar
  54. Marcou, A., & Lerman, S. (2007). Changes in students’ motivational beliefs and performance in a self-regulated mathematical problem-solving environment (pp. 288–297). Cyprus: CERME 5.Google Scholar
  55. Marsh, H. W., Pekrun, R., Lichtenfeld, S., Guo, J., Arens, A. K., & Murayama, K. (2016). Breaking the double-edged sword of effort/trying hard: Developmental equilibrium and longitudinal relations among effort, achievement, and academic self-concept. Developmental Psychology, 52, 1273–1290.CrossRefGoogle Scholar
  56. 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
  57. Murayama, K., Goetz, T., Malmberg, L.-E., Pekrun, R., Tanaka, A., & Martin, A. J. Within-person analysis in educational psychology: Importance and illustrations. In D. W. Putwain & K. Smart (Eds.), British Journal of Educational Psychology Monograph Series II: Psychological Aspects of Education—Current Trends: The Role of Competence Beliefs in Teaching and Learning. Oxford: Wiley (in press).Google Scholar
  58. Nett, U. E., Goetz, T., & Hall, N. C. (2011). Coping with boredom in school: An experience sampling perspective. Contemporary Educational Psychology, 36, 49–59.CrossRefGoogle Scholar
  59. Oatley, K., & Johnson-Laird, P. N. (1987). Towards a cognitive theory of emotions. Cognition and emotion, 1(1), 29–50.CrossRefGoogle Scholar
  60. 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.CrossRefGoogle Scholar
  61. Pauli, C., & Reusser, K. (2006). Von international vergleichenden Video Surveys zur videobasierten Unterrichtsforschung und -entwicklung. Zeitschrift für Pädagogik, 52(6), 774–798.Google Scholar
  62. Pekrun, R. (1993). Facets of students’ academic motivation: A longitudinal expectancy-value approach. In M. Maehr & P. Pintrich (Eds.), Advances in Motivation and Achievement (Vol. 8, pp. 139–189). Greenwich: JAI Press.Google Scholar
  63. Pekrun, R. (2006). The control-value theory of achievement emotions: Assumptions, corollaries, and implications for educational research and practice. Educational Psychology Review, 18, 315–341.CrossRefGoogle Scholar
  64. Pekrun, R., Goetz, T., Daniels, L. M., Stupnisky, R. H., & Perry, R. P. (2010). Boredom in achievement settings: Exploring control-value antecedents and performance outcomes of a neglected emotion. Journal of Educational Psychology, 102(3), 531–549.CrossRefGoogle Scholar
  65. Pekrun, R., Goetz, T., Frenzel, A. C., Barchfeld, P., & Perry, R. P. (2011). Measuring emotions in students’ learning and performance: The Achievement Emotions Questionnaire (AEQ). Contemporary Educational Psychology, 36, 36–48.CrossRefGoogle Scholar
  66. 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.CrossRefGoogle Scholar
  67. Pekrun, R., Lichtenfeld, S., Marsh, H. W., Murayama, K., & Goetz, T. (2017). Achievement emotions and academic performance: Longitudinal models of reciprocal effects. Child Development. doi: 10.1111/cdev12704 (Published online first).Google Scholar
  68. Pekrun, R., & Linnenbrink-Garcia, L. (2014a). Introduction to emotions in education. In R. Pekrun & L. Linnenbrink-Garcia (Eds.), International handbook of emotions in education (pp. 1–10). New York: Taylor & Francis.Google Scholar
  69. Pekrun, R., & Linnenbrink-Garcia, L. (2014b). Conclusions and future directions. In R. Pekrun & L. Linnenbrink-Garcia (Eds.), International handbook of emotions in education (pp. 659–675). New York: Taylor & Francis.Google Scholar
  70. Pekrun, R., & Perry, R. P. (2014). Control-value theory of achievement emotions. In R. Pekrun & L. Linnenbrink-Garcia (Eds.), International handbook of emotions in education (pp. 120–141). New York: Taylor & Francis.  Google Scholar
  71. Pekrun, R., & Stephens, E. G. (2012). Academic emotions. In K. R. Harris, S. Graham, T. Urdan, S. Graham, J. M. Royer, & M. Zeidner (Eds.), APA educational psychology handbook (Vol. 2, pp. 3–31). Washington, DC: American Psychological Association.Google Scholar
  72. Pekrun, R., vom Hofe, R., Blum, W., Frenzel, A. C., Goetz, T., & Wartha, S. (2007). Development of mathematical competencies in adolescence: The PALMA longitudinal study. In M. Prenzel (Ed.), Studies on the educational quality of schools (pp. 17–37). Münster: Waxmann.Google Scholar
  73. Perels, F., Gürtler, T., & Schmitz, B. (2005). Training of self-regulatory and problem-solving competence. Learning and Instruction, 15, 123–139.CrossRefGoogle Scholar
  74. Perels, F., Otto, B., Schmitz, B., & Bruder, R. (2007). Evaluation of a training programme to improve mathematical as well as self-regulatory competences. In M. Prenzel, & PISA-Konsortium Deutschland (Ed.), Studies on the educational quality of schools (pp. 197–219). Münster: Waxmann.Google Scholar
  75. Pintrich, P. R. (1991). Editor’s comment. Educational Psychologist, 26(3–4), 199–205.CrossRefGoogle Scholar
  76. Pólya, G. (1945). How to solve it: A new aspect of mathematical method. New Jersey: Princeton University Press.Google Scholar
  77. Rakoczy, K. (2008). Motivationsunterstützung im Mathematikunterricht–Unterricht aus der Perspektive von Lernenden und Beobachtern. Münster: Waxmann.Google Scholar
  78. Rakoczy, K., Harks, B., Klieme, E., Blum, W., & Hochweber, J. (2013). Written feedback in mathematics: Mediated by students’ perception, moderated by goal orientation. Learning and Instruction, 27, 63–73.CrossRefGoogle Scholar
  79. Rakoczy, K., Klieme, E., Drollinger-Vetter, B., Lipowsky, F., Pauli, C., & Reusser, K. (2007). Structure as a quality feature in mathematics instruction: Cognitive and motivational effects of a structured organisation of the learning environment vs. a structured presentation of learning content. In M. Prenzel. (Ed.), Studies on the educational quality of schools. The final report on the DFG Priority Programme (pp. 101–120). Münster: Waxmann.Google Scholar
  80. Rellensmann, J. & Schukajlow, S. (2017). Does students’ interest in a mathematical problem depend on the problem’s connection to reality? An analysis of students’ interest and pre-service teachers’ judgments of students’ interest in problems with and without a connection to reality. ZDM Mathematics Education. doi: 10.1007/s11858-016-0819-3.Google Scholar
  81. Renninger, K. A., Shumar, W., Barab, S., Kling, R., & Gray, J. (2004). The centrality of culture and community to participant learning at and with The Math Forum. In S. Barab, R. Kling, & J. Gray (Eds.), Designing for virtual communities in the service of learning (pp. 181–209). Cambridge: Cambridge University Press.Google Scholar
  82. Reuman, D., MacIver, D., Eccles, J. S., & Wigfield, A. (1987). Changes in students’ mathematics motivation and behavior at the transition to junior high school. Washington, DC: Annual meeting of the American Educational Research Association.Google Scholar
  83. Robinson, D. H., Levin, J. R., Thomas, G. D., Pituch, K. A., & Vaughn, S. (2007). The incidence of “causal” statements in teaching-and-learning research journals. American Educational Research Journal, 44(2), 400–413.CrossRefGoogle Scholar
  84. Ruthig, J. C., Perry, R. P., Hall, N. C., & Hladkyj, S. (2004). Optimism and attributional retraining: Longitudinal effects on academic achievement, test anxiety, and voluntary course withdrawal in college students. Journal of Applied Social Psychology, 34(4), 709–730.CrossRefGoogle Scholar
  85. Ryan, R. M. (2012). The Oxford handbook of human motivation. Oxford: Oxford University Press.CrossRefGoogle Scholar
  86. Ryan, R. M., & Deci, E. L. (2000). Self-determination theory and the facilitation of intrinsic motivation, social development, and well-being. American Psychologist, 55, 68–78.CrossRefGoogle Scholar
  87. Ryan, R. M., & Deci, E. L. (2002). Overview of self-determination theory: An organismic-dialectical perspective. In E. L. Deci & A. M. Ryan (Eds.), Handbook of self-determination research. Rochester: University Press, pp. 3–33.Google Scholar
  88. Savelsbergh, E. R., Prins, G. T., Rietbergen, C., Fechner, S., Vaessen, B. E., Draijer, J. M., et al. (2016). Effects of innovative science and mathematics teaching on student attitudes and achievement: A meta-analytic study. Educational Research Review, 19, 158–172.CrossRefGoogle Scholar
  89. Scherer, K., Schorr, A., & Johnstone, T. (2001). Appraisal processes in emotion: Theory, methods, research. Oxford: Oxford University Press.Google Scholar
  90. Scherer, K., Shuman, V., Fontaine, J., & Soriano, C. (2013). The GRID meets the wheel: Assessing emotional feeling via self-report. Components of emotional meaning: A sourcebook, 281–298Google Scholar
  91. Schukajlow, S. (2015). Is boredom important for students’ performance? In K. Krainer, & N. Vondrová (Eds.), Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education (pp. 1273–1279). Prague: Faculty of Education and ERME, Charles University in Prague.Google Scholar
  92. Schukajlow, S., & Achmetli, K. (2017, accepted). Multiple solutions for real-world problems and students’ enjoyment, and boredom. In Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education.Google Scholar
  93. Schukajlow, S., & Krug, A. (2012). Effects of treating multiple solutions on students’ self-regulation, self-efficacy and value. In T. Y. Tso (Ed.), Proceedings of the 36th Conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 59–66). Taipei: PME.Google Scholar
  94. Schukajlow, S., & Krug, A. (2014). Do multiple solutions matter? Prompting multiple solutions, interest, competence, and autonomy. Journal for Research in Mathematics Education, 45(4), 497–533.CrossRefGoogle Scholar
  95. Schukajlow, S., Leiss, D., Pekrun, R., Blum, W., Müller, M., & Messner, R. (2012). Teaching methods for modelling problems and students’ task-specific enjoyment, value, interest and self-efficacy expectations. Educational Studies in Mathematics, 79, 215–237.CrossRefGoogle Scholar
  96. Schukajlow, S., & Rakoczy, K. (2016). The power of emotions: Can enjoyment and boredom explain the impact of individual preconditions and teaching methods on interest and performance in mathematics? Learning and Instruction, 44, 117–127.CrossRefGoogle Scholar
  97. Schunk, D. H., & Meece, J. L. (2006). Self-efficacy development in adolescence. In F. Pajares & T. Urdan (Eds.), Self-efficacy beliefs of adolescents (pp. 71–96). Greenwich: Information Age.Google Scholar
  98. Schutz, P. A., & Lanehart, S. L. (2002). Introduction: Emotions in education. Educational Psychologist, 37(2), 67–68. doi: 10.1207/S15326985EP3702_1.CrossRefGoogle Scholar
  99. Schütze, B., Rakoczy, K., Klieme, E., Besser, M., & Leiss, D. (2017). Training effects on teachers’ feedback practice: The mediating function of feedback knowledge and the moderating role of self-efficacy. ZDM Mathematics Education. doi: 10.1007/s11858-017-0855-7.
  100. Seidel, T., & Shavelson, R. J. (2007). Teaching effectiveness research in the past decade: The role of theory and research design in disentangling meta-analysis results. Review of Educational Research, 77(4), 454–499.CrossRefGoogle Scholar
  101. Sherman, D. K., Hartson, K. A., Binning, K. R., Purdie-Vaughns, V., Garcia, J., Taborsky-Barba, S., et al. (2013). Deflecting the trajectory and changing the narrative: How self-affirmation affects academic performance and motivation under identity threat. Journal of Personality and Social Psychology, 104(4), 591.CrossRefGoogle Scholar
  102. Shuman, V., & Scherer, K. R. (2014). Concepts and structures of emotions. In R. Pekrun & L. Linnenbrink-Garcia (Eds.), International handbook of emotions in education (pp. 13–35). New York: Taylor & Francis.Google Scholar
  103. Street, K. E. S., Malmberg, L.-E., & Stylianides, G. J. (2017). Level, strength, and facet-specific self-efficacy in mathematics test performance. ZDM Mathematics Education. doi: 10.1007/s11858-017-0833-0.Google Scholar
  104. Stylianides, A. J., & Stylianides, G. J. (2014). Impacting positively on students’ mathematical problem solving beliefs: An instructional intervention of short duration. The Journal of Mathematical Behavior, 33, 8–29.CrossRefGoogle Scholar
  105. Tarim, K., & Akdeniz, F. (2008). The effects of cooperative learning on Turkish elementary students’ mathematics achievement and attitude towards mathematics using TAI and STAD methods. Educational Studies in Mathematics, 67(1), 77–91.CrossRefGoogle Scholar
  106. Toerner, G. & Arzarello, F. (2012). Grading mathematics education research journals. In L. Di Visio & V. Munoz (Eds.), Newsletter of the European Mathematical Society (pp. 54–56).Google Scholar
  107. Tornare, E., Czajkowski, N. O., & Pons, F. (2015). Children’s emotions in math problem solving situations: Contributions of self-concept, metacognitive experiences, and performance. Learning and Instruction, 39, 88–96.CrossRefGoogle Scholar
  108. Tulis, M., & Ainley, M. (2011). Interest, enjoyment and pride after failure experiences? Predictors of students’ state-emotions after success and failure during learning in mathematics. Educational Psychology: An International Journal of Experimental Educational Psychology, 31(7), 779–807.CrossRefGoogle Scholar
  109. Tuohilampi, L., Näveri, L., & Laine, A. (2015). The restricted yet crucial impact of an intervention on pupils’ mathematics-related affect. In N. Vondrova & J. Novotna (Eds.), Ninth Congress of the European Society for Research in Mathematics Education (pp. 1287–1293). Prague: Charles University of Prague.Google Scholar
  110. Ufer, S., Rach, S., & Kosiol, T. (2017). Interest in mathematics = interest in mathematics? What general measures of interest reflect when the object of interest changes. ZDM Mathematics Education. doi: 10.1007/s11858-016-0828-2.Google Scholar
  111. Vierhaus, M., Lohaus, A., & Wild, E. (2016). The development of achievement emotions and coping/emotion regulation from primary to secondary school. Learning and Instruction, 42, 12–21.CrossRefGoogle Scholar
  112. Volet, S. (2001). Understanding learning and motivation in context: A multi-dimensional and multi-level cognitive-situative perspective. In S. Volet & S. Järvelä (Eds.), Motivation in learning contexts: Theoretical advances and methodological implications (pp. 57–82). Elmsford: Pergamon Press.Google Scholar
  113. Vollmeyer, R., & Rheinberg, F. (2005). A surprising effect of feedback on learning. Learning and Instruction, 15(6), 589–602.CrossRefGoogle Scholar
  114. Weiner, B. (1985). An attributional theory of achievement motivation and emotion. Psychological Review, 92(4), 548.CrossRefGoogle Scholar
  115. Wigfield, A., & Eccles, J. S. (2000). Expectancy–value theory of achievement motivation. Contemporary Educational Psychology, 25, 68–81.CrossRefGoogle Scholar
  116. Wigfield, A., & Meece, J. L. (1988). Math anxiety in elementary and secondary school students. Journal of Educational Psychology, 80(2), 210.CrossRefGoogle Scholar
  117. Winberg, T. M., Hellgren, J., & Palm, T. (2014). Stimulating positive emotional experiences in mathematics learning: Influence of situational and personal factors. European Journal of Psychology of Education, 29(4), 673–691.CrossRefGoogle Scholar
  118. Zan, R., Brown, L., Evans, J., & Hannula, M. S. (2006). Affect in mathematics education: An introduction. Educational Studies in Mathematics, 63(2), 113–122.CrossRefGoogle Scholar

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© FIZ Karlsruhe 2017

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of MünsterMünsterGermany
  2. 2.Center for Research on Educational Quality and EvaluationGerman Institute for International Educational ResearchFrankfurt am MainGermany
  3. 3.Department of PsychologyUniversity of MunichMunichGermany
  4. 4.Institute for Positive Psychology and EducationAustralian Catholic UniversitySydneyAustralia

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