Formative assessment of proof comprehension in undergraduate mathematics: affordances of iterative lecturer feedback

Alon Pinto, Jason Cooper

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Research shows that lecturer feedback on students’ proofs is crucial for developing proof comprehension in advanced mathematics courses, yet students often fail to comprehend lecturer feedback, and only rarely receive further feedback on their revisions. In this study we investigate the affordance of a novel formative-assessment scheme, designed and enacted by a mathematics professor, which employed multiple rounds of lecturer-feedback / student-revision. We analyze one such round, focusing on various facets of proof comprehension that underlie the lecturer’s feedback and the student’s subsequent revisions. On the basis of this analysis we discuss various ways in which lecturers can leverage feedback/revision cycles, not only for gaining insight into students’ comprehension, but also for fostering meta-level ideas, and affording opportunities for students to develop agency and holistic proof comprehension.
Original languageEnglish
Title of host publicationProceedings of the Eleventh Congress of the European Society for Research in Mathematics Education
Pages2630-2637
Number of pages8
ISBN (Electronic)978-90-73346-75-8
StatePublished - Feb 2019
Event11th Congress of the European Society for Research in Mathematics Education - Utrecht University, Utrecht, Netherlands
Duration: 6 Feb 201910 Feb 2019
Conference number: 11
https://cerme11.org/
https://hal.archives-ouvertes.fr/CERME11
http://www.mathematik.uni-dortmund.de/~prediger/ERME/CERME11_Proceedings_2019.pdf

Publication series

NameProceedings of the Congress of the European Society for Research in Mathematics Education
Volume11

Conference

Conference11th Congress of the European Society for Research in Mathematics Education
Abbreviated titleCERME
Country/TerritoryNetherlands
CityUtrecht
Period6/02/1910/02/19
Internet address

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