Students being set up to make mistakes in class through an error-eliciting task

Authors

  • Claire Cornock Sheffield Hallam University
  • Alex Shukie Sheffield Hallam University
  • Ros Porter Sheffield Hallam University
  • David O'Sullivan Sheffield Hallam University

DOI:

https://doi.org/10.21100/msor.v19i2.1120

Keywords:

Making mistakes, error-eliciting problems, tutor reliance, willingness to try, routine approaches

Abstract

In order for students to develop a better understanding and the skills to question future work, a session is introduced into a teaching workshop which sets students up to make common mistakes within a topic are more often made by blindly following procedural methods. The students’ views on these mistakes and how they found the error-eliciting task were gained through focus groups on the day of the activity. Factors such as knowing whether they had the right answer and the amount of staff involvement were discussed. In a follow-on focus group two weeks after the session, there were indications that the session had an impact on how they worked generally as there was more discussion within class and a shift in views about making mistakes.  

References

Cornock, C., 2015. Teaching group theory using Rubik’s cubes. International Journal of Mathematical Education in Science and Technology 46 (7).

Cornock, C., 2021. Student-generated examples and group work in Mathematics, MSOR Connections, 19(1), pp 31-39.

Cornock, C., Majin, W., Robinson, M. and Shukie, A. (submitted) Student use of whiteboards: experimentation, confidence and mistakes.

Eggleton, P.J. and Moldavan, C.C., 2001. The value of mistakes Mathematics Teaching in the Middle School, Reston 7(1), pp. 42-47. Available at https://search.proquest.com/docview/231069603?pq-origsite=gscholar&fromopenview=true [Accessed 25 October 2020].

Fischbein, E., 1994. The interaction between the formal, the algorithmic, and the intuitive components in a Mathematical activity. In R. Biehler, R. W. Scholz, R. Sträßer, B. Winkelmann, eds. Didactics of Mathematics as a Scientific Discipline, pp. 231-245. Available at https://www.researchgate.net/profile/Rudolf_Straesser/publication/227113904_Cultural_Framing_of_Teaching_and_Learning_Mathematics/links/0deec5231ab119d511000000.pdf#page=242 [Accessed 25 October 2020].

Lawson, M.V., 2004. Finite Automata. Chapman & Hall / CRC.

Lim, K.H., 2014. Error-Eliciting problems: fostering understanding and thinking, Mathematics Teaching in the Middle School 20(2), pp. 106-114. DOI: 10.5951/mathteacmiddscho.20.2.0106.

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Published

2021-09-01