Sangwin_art_10.1007_s10649-016-9725-4.pdf (457.49 kB)

Asymmetry in student achievement on multiple-choice and constructed-response items in reversible mathematics processes

Download (457.49 kB)
journal contribution
posted on 26.07.2016 by Chris Sangwin, Ian Jones
In this paper we report the results of an experiment designed to test the hypothesis that when faced with a question involving the inverse direction of a reversible mathematical process, students solve a multiple-choice version by verifying the answers presented to them by the direct method, not by undertaking the actual inverse calculation. Participants responded to an online test contain- ing equivalent multiple-choice and constructed-response items in two reversible algebraic techniques: factor/expand and solve/verify. The ndings supported this hypothesis: Overall scores were higher in the multiple-choice condition compared to the constructed-response condition, but this advantage was significantly greater for items concerning the inverse direction of reversible processes compared to those involving direct processes.

History

School

  • Science

Department

  • Mathematics Education Centre

Published in

Educational Studies in Mathematics: an international journal

Citation

SANGWIN, C.J. and JONES, I., 2017. Asymmetry in student achievement on multiple-choice and constructed-response items in reversible mathematics processes. Educational Studies in Mathematics, 94(2), pp.205-22.

Publisher

Springer Verlag / © The Authors

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution- 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/

Acceptance date

14/07/2016

Publication date

2017

Notes

This is an Open Access Article. It is published by Springer under the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/

ISSN

1573-0816

Language

en

Licence

Exports

Logo branding

Categories

Licence

Exports