The Transposition Project: origins, context and early findings

Maryna Lishchynska et al.

Abstract


Within the Department of Mathematics at Cork Institute of Technology and at a wider level across the institute, the topic of transposition or rearranging equations has repeatedly been flagged as one of the most problematic. The transposition project aims to understand the reasons for students difficulties and develop an effective intervention strategy.


Keywords


Transposition; algebra; rearranging equations; changing the subject

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References


Barbieri, C., and Booth, J.L., 2016. Support for struggling students in algebra: Contributions of incorrect worked examples. Learning and Individual Differences, Vol. 48, pp.36-44.

Bush, S., and Karp, K., 2013. Prerequisite algebra skills and associated misconceptions of middle grade students: A review. The Journal of Mathematical Behavior, 32(3), pp.613-632.

Byrd, C.E., McNeil, N.M., Chesney, D.L., and Matthews, P.G., 2015. A specific misconception of the equal sign acts as a barrier to children's learning of early algebra. Learning and Individual Differences, Vol. 38, pp.61-67.

Cummings, K., and Roberts, S. G., 2008. A study of peer instruction methods with high school physics students. s.l., s.n., pp103-106.

Fosnot, C., 2018. Conceptual Understanding. [Online] Available at: http://www.dreambox.com/conceptual-understanding [Accessed 11 March 2019].

Lucariello, J., Tine, M., and Ganley, C., 2014. A formative assessment of students’ algebraic variable misconceptions. The Journal of Mathematical Behavior, Volume 33, pp.30-41.

Marjoram, M., O'Sullivan, C., and Robinson, P., 2012. Structured Teaching Approaches for Students with Under-Developed Mathematical Skills. s.l., s.n.

Mazur, E., 1997. Peer instruction. s.l.:Prentice Hall..

O'Brien, A., and Ní Ríordáin, M., 2017. Examining difficulties in initial algebra: Pre-requisite and algebra content areas for Irish post-primary students. In 10th Congress of European Research in Mathematics Education. European Society for Research in Mat. s.l., s.n.

O'Connor, B.R., and Norton, S.I., 2016. Investigating Students' Mathematical Difficulties with Quadratic Equations. s.l., s.n.

Rittle-Johnson, B., Siegler, R.S., and Alibali, M.W., 2001. Developing conceptual understanding and procedural skill in mathematics: An iterative process. Journal of educational psychology, 93(2), p.346.

Smith, M.K., Wood, W.B., Adams, W.K., Wieman, C., Knight, J.K., Guild, N., and Su, T.T., 2009. Why peer discussion improves student performance on in-class concept questions. Science, 323(5910), pp.122-124.

Smith, M.K., Wood, W.B., Krauter, K., and Knight, J., 2011. Combining peer discussion with instructor explanation increases student learning from in-class concept questions. CBE—Life Sciences Education, 10(1), pp.55-63.

Stephens, A.C., Knuth, E.J., Blanton, M.L., Isler, I., Gardiner, A.M., and Marum, T., 2013. Equation structure and the meaning of the equal sign: The impact of task selection in eliciting elementary students’ understandings. The Journal of Mathematical Behavior, 32(2), pp.173-182.




DOI: https://doi.org/10.21100/msor.v17i2.971

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