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This is easy, you can do it! Feedback during mathematics problem solving is more beneficial when students expect to succeed

  • Emily R. FyfeEmail author
  • Sarah A. Brown
Original Research

Abstract

Students’ problem-solving success depends on more than their knowledge and abilities. One factor that may play a role is the teacher’s expectations of students. The current study focused on how a teacher’s explicitly-stated expectations influence students’ ability to learn from corrective feedback during problem solving. On the one hand, setting low expectations (e.g., this task is hard, you’ll likely fail) may help students avoid disappointment in response to negative feedback, thereby facilitating student learning. On the other hand, setting low expectations may produce a self-fulfilling prophecy in which negative feedback confirms the teacher’s expectations and hinders student learning. In a controlled experiment, undergraduate students (N = 160) were randomly assigned to one of four conditions based on a crossing of two factors: teacher expectations for the student (success or failure) and verification feedback during problem solving (yes or no). Posttest performance revealed that feedback had negative effects when teachers set low expectations for students. Results suggest that basic feedback may be more beneficial when teachers help students set their expectations for success.

Keywords

Feedback Teacher expectancy Mathematics Problem solving 

Notes

Acknowledgements

Support for this research was provided in part by Institute of Education Sciences, U. S. Department of Education, training Grant R305B130007 as part of the Wisconsin Center for Education Research Postdoctoral Training Program. The authors would like to thank Haley Beers and Alexis Hosch for help with data collection and coding.

References

  1. Bangert-Drowns, R. L., Kulik, C.-L. C., Kulik, J. A., & Morgan, M. (1991). The instructional effect of feedback in test-like events. Review of Educational Research,61, 213.  https://doi.org/10.2307/1170535.CrossRefGoogle Scholar
  2. Booth, J., Oyer, M., Pare-Blagoev, J., Elliot, A. J., Barbieri, C., Augustine, A., et al. (2015). Learning algebra by example in real-world classrooms. Journal of Research on Educational Effectiveness,8, 530–551.  https://doi.org/10.1080/19345747.2015.1055636.CrossRefGoogle Scholar
  3. Brophy, J. E., & Good, T. L. (1970). Teachers' communication of differential expectations for children's classroom performance: Some behavioral data. Journal of Educational Psychology,61, 365–374.  https://doi.org/10.1037/h0029908.CrossRefGoogle Scholar
  4. Brosvic, G. M., Epstein, M. L., Cook, M. J., & Dihoff, R. E. (2005). Efficacy of error for the correction of initially incorrect assumptions and of feedback for the affirmation of correct responding: Learning in the classroom. The Psychological Record,55, 401–418.  https://doi.org/10.1007/BF03395518.CrossRefGoogle Scholar
  5. Butler, A. C., Karpicke, J. D., & Roediger, H. L. (2007). The effect of type and timing of feedback on learning from multiple-choice tests. Journal of Experimental Psychology: Applied,13, 273–281.  https://doi.org/10.1037/1076-898X.13.4.273.CrossRefGoogle Scholar
  6. Butler, A. C., Godbole, N., & Marsh, E. J. (2013). Explanation feedback is better than correct answer feedback for promoting transfer of learning. Journal of Educational Psychology,105, 290–298.  https://doi.org/10.1037/a0031026.CrossRefGoogle Scholar
  7. Butterfield, B., & Metcalfe, J. (2001). Errors committed with high confidence are hypercorrected. Journal of Experimental Psychology: Learning, Memory, and Cognition,27, 1491–1494.  https://doi.org/10.1037/0278-7393.27.6.1491.CrossRefGoogle Scholar
  8. Chin, C. (2006). Classroom interaction in science: Teacher questioning and feedback to students’ responses. International Journal of Science Education,28, 1315–1346.  https://doi.org/10.1080/09500690600621100.CrossRefGoogle Scholar
  9. Cianci, A. M., Schaubroeck, J. M., & McGill, G. A. (2010). Achievement goals, feedback, and task performance. Human Performance,23, 131–154.  https://doi.org/10.1080/08959281003621687.CrossRefGoogle Scholar
  10. Cohen, J. (1988). Statistical power analysis for the behavioral sciences. Hillsdale, NJ: Erlbaum.Google Scholar
  11. DeCaro, M. S., & Rittle-Johnson, B. (2012). Exploring mathematics problems prepares children to learn from instruction. Journal of Experimental Child Psychology,113, 552–568.  https://doi.org/10.1016/j.jecp.2012.06.009.CrossRefGoogle Scholar
  12. Dorow, L. G., & Boyle, M. E. (1998). Instructor feedback for college writing assignments in introductory classes. Journal of Behavioral Education,8, 115–129.CrossRefGoogle Scholar
  13. Fazio, L. K., & Marsh, E. J. (2009). Surprising feedback improves later memory. Psychonomic Bulletin Review,16, 88–92.  https://doi.org/10.3758/PBR.16.1.88.CrossRefGoogle Scholar
  14. Fazio, L. K., Huelser, B. J., Johnson, A., & Marsh, E. J. (2010). Receiving right/wrong feedback: Consequences for learning. Memory,18, 335–350.  https://doi.org/10.1080/09658211003652491.CrossRefGoogle Scholar
  15. Friedrich, A., Flunger, B., Nagengast, B., Jonkmann, K., & Trautwein, U. (2015). Pygmalion effects in the classroom: Teacher expectancy effects on students’ math achievement. Contemporary Educational Psychology,41, 1–12.  https://doi.org/10.1016/j.cedpsych.2014.10.006.CrossRefGoogle Scholar
  16. Fyfe, E. R., & Brown, S. A. (2018). Feedback influences children’s reasoning about math equivalence: A meta-analytic review. Thinking & Reasoning, 24(2), 157–178.  https://doi.org/10.1080/13546783.2017.1359208.CrossRefGoogle Scholar
  17. Fyfe, E. R., & Rittle-Johnson, B. (2016). Feedback both helps and hinders learning: The causal role of prior knowledge. Journal of Educational Psychology, 108(1), 82–97.  https://doi.org/10.1037/edu0000053.CrossRefGoogle Scholar
  18. Giambra, L. M. (1995). A laboratory method for investigating influences on switching attention to task-unrelated imagery and thought. Consciousness and Cognition,4, 1–21.CrossRefGoogle Scholar
  19. Hattie, J., & Gan, M. (2011). Instruction based on feedback. In R. Mayer & P. Alexander (Eds.), Handbook of research on learning and instruction (pp. 249–271). New York: Routledge.Google Scholar
  20. Hattie, J., & Timperley, H. (2007). The power of feedback. Review of Educational Research,77(1), 81–112.  https://doi.org/10.3102/003465430298487.CrossRefGoogle Scholar
  21. Hattie, J., & Yates, G. (2014). Using feedback to promote learning. In V. A. Benassi, C. E. Overson, & C. M. Hakala (Eds.), Applying science of learning in education: Infusing psychological science into the curriculum. Retrieved from the Society for the Teaching of Psychology. https://teachpsych.org/ebooks
  22. Hays, M. J., Kornell, N., & Bjork, R. A. (2010). The costs and benefits of providing feedback during learning. Psychonomic Bulletin & Review, 17(6), 797–801.  https://doi.org/10.3758/PBR.17.6.797.CrossRefGoogle Scholar
  23. Hoffrage, U., Kurzenhauser, S., & Gigerenzer, G. (2005). Understanding the results of medical tests: Why the representation of statistical information matters. In R. Bibace, J. D. Laird, K. L. Noller, & J. Valsiner (Eds.), Science and medicine in dialogue: Thinking through particulars and universals (pp. 83–98). Westport: Praeger Publishers/Greenwood Publishing Group.Google Scholar
  24. Hom, H. L., & Maxwell, F. R. (1983). The impact of task difficulty expectations on intrinsic motivation. Motivation and Emotion, 7(1), 19–24.  https://doi.org/10.1007/BF00992962.CrossRefGoogle Scholar
  25. Kahneman, D., & Tversky, A. (1973). On the psychology of prediction. Psychological Review,80, 237–251.  https://doi.org/10.1037/h0034747.CrossRefGoogle Scholar
  26. Kapur, M. (2012). Productive failure in learning the concept of variance. Instructional Science,40(4), 651–672.  https://doi.org/10.1007/s11251-012-9209-6.CrossRefGoogle Scholar
  27. Kluger, A. N., & DeNisi, A. (1996). Effects of feedback intervention on performance: A historical review, a meta-analysis, and a preliminary feedback intervention theory. Psychological Bulletin,119, 254–284.  https://doi.org/10.1037/0033-2909.119.2.254.CrossRefGoogle Scholar
  28. Kluger, A. N., & DeNisi, A. (1998). Feedback interventions: Toward the understanding of a double-edged sword. Current Directions in Psychological Science,7(3), 67–72.CrossRefGoogle Scholar
  29. Koriat, A., & Ma'ayan, H. (2006). The intricate relationships between monitoring and control in metacognition: Lessons for the cause-and-effect relation between subjective experience and behavior. Journal of Experimental Psychology: General,135, 36–69.  https://doi.org/10.1037/0096-3445.135.1.36.CrossRefGoogle Scholar
  30. Kulhavy, R. W., Yekovich, F. R., & Dyer, J. W. (1976). Feedback and response confidence. Journal of Educational Psychology,68, 522–528.  https://doi.org/10.1037/0022-0663.68.5.522.CrossRefGoogle Scholar
  31. Langrall, C. W., & Mooney, E. S. (2005). Characteristics of elementary school students' probabilistic reasoning. In G. A. Jones (Ed.), Exploring probability in school: Challenged for teaching and learning (pp. 95–119). Boston, MA: Springer.CrossRefGoogle Scholar
  32. Mangels, J. A., Good, C., Whiteman, R. C., Maniscalco, B., & Dweck, C. S. (2012). Emotion blocks the path to learning under stereotype threat. Social Cognitive and Affective Neuroscience,7, 230–241.  https://doi.org/10.1093/scan/nsq100.CrossRefGoogle Scholar
  33. Marsh, E. J., Lozito, J. P., Umanath, S., Bjork, E. L., & Bjork, R. A. (2012). Using verification feedback to corret errors made on a multiple-choice test. Memory,20, 645–653.  https://doi.org/10.1080/09658211.2012.684882.CrossRefGoogle Scholar
  34. Merton, R. K. (1948). The self-fulfilling prophecy. The Antioch Review,8, 193–210.  https://doi.org/10.2307/4609267.CrossRefGoogle Scholar
  35. Mory, E. H. (2004). Feedback research revisited. In D. Jonassen (Ed.), Handbook of research on educational communications and technology: A project for the Association for Educational Communications and Technology (2nd ed., pp. 745–783). Mahwah, NJ: Lawrence Erlbaum Associates.Google Scholar
  36. Norem, J. K., & Cantor, N. (1986). Anticipatory and post hoc cushioning strategies: Optimism and defensive pessimism in “risky” situations. Cognitive Therapy and Research,3, 347–362.CrossRefGoogle Scholar
  37. Pashler, H., Cepeda, N. J., Wixted, J. T., & Rohrer, D. (2005). When does feedback facilitate learning of words? Journal of Experimental Psychology, Learning, Memory, and Cognition,31, 3–8.  https://doi.org/10.1037/0278-7393.31.1.3.CrossRefGoogle Scholar
  38. Rosenthal, R. J., & Jacobson, L. (1968). Pygmalion in the classroom: Teacher expectations and pupils’ intellectual development. New York: Holt, Rinehart, & Winston.CrossRefGoogle Scholar
  39. Rubie-Davies, C. M. (2017). Teacher expectations in education. New York: Routledge.CrossRefGoogle Scholar
  40. Rydell, R. J., & Boucher, K. L. (2017). Chapter two: Stereotype threat and learning. Advances in Experimental Social Psychology,56, 81–129.  https://doi.org/10.1016/bs.aesp.2017.02.002.CrossRefGoogle Scholar
  41. Schwartz, D. L., Chase, C. C., Oppezzo, M. A., & Chin, D. B. (2011). Practicing versus inventing with contrasting cases: The effects of telling first on learning and transfer. Journal of Educational Psychology,103(4), 759–775.  https://doi.org/10.1037/a0025140.CrossRefGoogle Scholar
  42. Shute, V. J. (2008). Focus on formative feedback. Review of Educational Research,78, 153–189.  https://doi.org/10.3102/0034654307313795.CrossRefGoogle Scholar
  43. Smallwood, J., Fishman, D. J., & Schooler, J. W. (2007). Counting the cost of an absent mind: Mind wandering as an unrecognized influence on educational performance. Psychonomic Bulletin and Review,14, 230–236.CrossRefGoogle Scholar
  44. Steele, C. M. (1997). A threat in the air: How stereotypes shape intellectual identity and performance. American Psychologist,52, 613–629.CrossRefGoogle Scholar
  45. Swanson, S. D., & Tricomi, E. (2014). Goals and task difficulty expectations modulate striatal responses to feedback. Cognitive, Affective, and Behavioral Neuroscience,14, 610–620.  https://doi.org/10.3758/s13415-014-0269-8.CrossRefGoogle Scholar
  46. Sweller, J., van Merrienboer, J., & Paas, F. (1998). Cognitive architecture and instructional design. Educational Psychology Review,10, 251–296.CrossRefGoogle Scholar
  47. Thomas, R. C., & McDaniel, M. A. (2013). Testing and feedback on front-end control over later retrieval. Journal of Experimental Psychology: Learning, Memory, and Cognition,39, 437–450.  https://doi.org/10.1037/a0028886.CrossRefGoogle Scholar
  48. Timms, M., DeVelle, S., & Lay, D. (2016). Towards a model of how learners process feedback: A deeper look at learning. Australian Journal of Education,60, 128–145.CrossRefGoogle Scholar
  49. Van der Kleij, F. (2015). Effects of feedback in a computer-based learning environment on students’ learning outcomes: A meta-analysis. Review of Educational Research,85, 475–511.  https://doi.org/10.3102/0034654314564881.CrossRefGoogle Scholar

Copyright information

© Springer Nature B.V. 2020

Authors and Affiliations

  1. 1.Department of Psychological and Brain SciencesIndiana UniversityBloomingtonUSA
  2. 2.Department of PsychologyUniversity of Wisconsin-MadisonMadisonUSA

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