Writing mathematics collaboratively in online workshops
DOI:
https://doi.org/10.21100/msor.v20i1.1311Keywords:
Mathematical writing, group work, study skills, online learningAbstract
This case study examines the changes that were made to workshops for first year mathematics students when moving from in-person to online in the 2020/21 academic year. In the workshops, students tackle unfamiliar problems in small groups, with a focus on group work and mathematical communication skills. Transitioning to online workshops presented several difficulties around how best to enable students to have meaningful mathematical discussions and collaborate in writing their solutions when working online. We discuss the changes and mitigations we implemented in order to move the workshops online and how this will inform future in-person workshops.References
Alcock, L., Brown, G. & Dunning, C., 2015. Independent study workbooks for proofs in group theory. International Journal of Research in Undergraduate Mathematics Education, 1(1), pp.3-26. https://doi.org/10.1007/s40753-015-0009-7
Gibbs, G. & Simpson, C., 2004. Conditions under which assessment supports students' learning. Learning and Teaching in Higher Education, 1(1), pp.3-31. http://eprints.glos.ac.uk/3609/
Gunns, J., Carey, R., Butler, L. & Donald, A., 2020. Teaching students to write and read mathematics. In: Proceedings of the British Society for Research into Learning Mathematics, 40(2). Available at: https://bsrlm.org.uk/wp-content/uploads/2020/10/BSRLM-CP-40-2-05.pdf [Accessed 8 April 2022].
Healey, M., Matthews, H., Livingstone, I. & Foster, I., 1996. Learning in small groups in university geography courses: designing a core module around group projects. Journal of Geography in Higher Education, 20(2), pp.167-80. https://doi.org/10.1080/03098269608709364
Lew, K. & MejÃa-Ramos, J. P., 2019. Linguistic conventions of mathematical proof writing at the undergraduate level: mathematicians' and students' perspectives. Journal for Research in Mathematics Education, 50(2), pp.121-155. https://doi.org/10.5951/jresematheduc.50.2.0121
Lew, K. & MejÃa-Ramos, J. P., 2020. Linguistic conventions of mathematical proof writing across pedagogical contexts. Educational Studies in Mathematics, 103(1), pp.43-62. https://doi.org/10.1007/s10649-019-09915-5
Nilson, L., 2016. Teaching at its best: a research-based resource for college instructors. Somerset: Wiley.
QAA, 2019. QAA subject benchmark statement for mathematics, statistics and operational research. Gloucester: QAA. Available at: https://www.qaa.ac.uk/docs/qaa/subject-benchmark-statements/subject-benchmark-statement-mathematics-statistics-and-operational-research.pdf [Accessed 26 October 2021].
Schleppegrell, M. J., 2007. The linguistic challenges of mathematics teaching and learning: A research review. Reading & Writing Quarterly, 23(2), pp.139-159. https://doi.org/10.1080/10573560601158461
Schoenfeld, A. H., 1992. Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. In: D. A. Grouws, ed. Handbook of Research on Mathematics Teaching and Learning. New York: Macmillan Publishing Company, pp.355-358. https://doi.org/10.1177/002205741619600202
Selden, A. & Selden, J., 2003. Validations of proofs considered as texts: Can undergraduates tell whether an argument proves a theorem? Journal for Research in Mathematics Education, 34(1), pp.4-36. https://doi.org/10.2307/30034698
Taylor, J. A. & McDonald, C., 2007. Writing in groups as a tool for non-routine problem solving in first year university mathematics. International Journal of Mathematical Education in Science and Technology, 38(5), pp.639-655. https://doi.org/10.1080/00207390701359396