Calling a Taxi(cab): Transforming Ideas of Congruence. Issue 4 (21st April 2022)
- Record Type:
- Journal Article
- Title:
- Calling a Taxi(cab): Transforming Ideas of Congruence. Issue 4 (21st April 2022)
- Main Title:
- Calling a Taxi(cab): Transforming Ideas of Congruence
- Authors:
- Prasad, Priya V.
Boyce, Steven - Abstract:
- ABSTRACT: Exploring non-Euclidean geometries is a common way for College Geometry instructors to highlight subtleties in Euclidean geometry. The concept of congruence, going undefined or informally defined in multiple axiomatic systems, is particularly susceptible to conflation with the idea of "same measure." Taxicab geometry provides a context in which congruence (defined as a relationship between figures that can be isometrically mapped to each other) and measure can be disambiguated by investigating the effects of transformations in both Euclidean and Taxicab geometry. This paper describes episodes from our classrooms in which students grappled with their understandings of congruence in Euclidean geometry while completing tasks involving Taxicab geometry.
- Is Part Of:
- PRIMUS. Volume 32:Issue 4(2022)
- Journal:
- PRIMUS
- Issue:
- Volume 32:Issue 4(2022)
- Issue Display:
- Volume 32, Issue 4 (2022)
- Year:
- 2022
- Volume:
- 32
- Issue:
- 4
- Issue Sort Value:
- 2022-0032-0004-0000
- Page Start:
- 562
- Page End:
- 578
- Publication Date:
- 2022-04-21
- Subjects:
- College geometry -- non-Euclidean geometry -- preservice teachers
Mathematics -- Study and teaching (Higher) -- Periodicals
510.711 - Journal URLs:
- http://www.tandf.co.uk/journals/titles/10511970.asp ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/10511970.2021.1871989 ↗
- Languages:
- English
- ISSNs:
- 1051-1970
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 6612.930850
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 21104.xml