Author ORCID Identifier
Rachel L. Rupnow: https://orcid.org/0000-0001-6022-9630
Document Type
Article
Abstract
While many aspects of the teaching and learning of advanced mathematics have been explored, the role, construction, and values of homework have been virtually ignored. This report draws on task-based interviews with six mathematicians to explore the relationship between an instructor’s learning goals and factors considered when selecting homework problems. All participants viewed homework as critical to student learning, and the majority of the participants’ claims focused on either the mathematics or how the problem would help students learn; no instructor gave primacy to evaluative reasons for homework. We highlight six themes used by participants to evaluate and select items for inclusion in homework. They are (1) knowing and recalling ax- ioms and definitions, (2) developing an arsenal of examples, (3) developing new problem ap- proaches, (4) remediating misconceptions, (5) making connections to prior and future material, and (6) valuing reading notes or text.
Publication Date
1-1-2021
Recommended Citation
Rupnow, R., Hegg, M., Fukawa-Connelly, T., Johnson, E., Weber, K. (2021). How mathematicians assign homework problems in abstract algebra courses. Journal of Mathematical Behavior, 64, 100914.
Original Citation
Rupnow, R., Hegg, M., Fukawa-Connelly, T., Johnson, E., Weber, K. (2021). How mathematicians assign homework problems in abstract algebra courses. Journal of Mathematical Behavior, 64, 100914.
Department
Department of Mathematical Sciences
Language
eng
Comments
Embargo of 24 months from article publication