File(s) not publicly available

Reason: This item is currently closed access.

A spectrum of pedagogical awareness for undergraduate mathematics: from "tricks" to "techniques"

journal contribution
posted on 09.07.2015 by Elena Nardi, Barbara Jaworski, Stephen Hegedus
We describe a four-level spectrum of pedagogical awareness (SPA) that emerged from the analysis of six undergraduate mathematics tutors' (1) conceptualizations of their first-year students' difficulties; (2) descriptive accounts of their strategies for facilitating the overcoming of these difficulties; and (3) self-reflective accounts regarding their teaching practices. These were recorded in 45 semistructured interviews conducted during the 8-week Oxford University term and following minimally participant observation of their tutorials. We exemplify the four levels of SPA, across these three strands, in 12 characteristic examples where tutors discuss episodes from the observed tutorials. The design and analysis of the study reflect three underlying theoretical perspectives: constructivist, sociocultural, and enactivist. Finally, we draw on participants' comments to suggest that our methodology encouraged reflection, raised awareness, and demonstrated the pedagogical potential of collaboration between mathematicians and mathematics educators. We see such awareness and collaborative goodwill as prerequisites to conceptualizing and implementing reform of pedagogical practice.
Logo branding

Categories

Keyword(s)

Funding

We gratefully acknowledge the support of the ESRC [project R000222688].

History

School

  • Science

Department

  • Mathematics Education Centre

Published in

Journal for Research in Mathematics Education

Volume

36

Issue

4

Pages

284 - 316

Citation

NARDI, E., JAWORSKI, B. and HEGEDUS, S., 2005. A spectrum of pedagogical awareness for undergraduate mathematics: from "tricks" to "techniques". Journal for Research in Mathematics Education, 36 (4), pp. 284 - 316.

Publisher

© National Council of Teachers of Mathematics

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2005

Notes

This article is closed access.

ISSN

0021-8251

Language

en

Exports

Logo branding

Categories

Keyword(s)

Exports