RUME 26
2024
Omaha, Nebraska
Instructors’ Grounding Metaphors for Quotient Groups
Page: 153
In this report, we examine the use of grounding metaphors across three abstract algebra instructors in their discussion of quotient group instruction. We identified three primary categories: construction metaphors, equivalence metaphors, and positional metaphors. The construct metaphors were further refined into building metaphors and demolition metaphors. In this paper, we provide an overview of the types of grounding metaphors in usage and provide insight into how the different instructors took on these metaphors when describing quotient groups and their instruction. We conclude with some considerations as to how these metaphors provide insight into quotient structure and considerations for future research.