eCite Digital Repository
Relating Flexibility in Concept Image and Understanding of Limits and Derivatives
Citation
Reaburn, R and Oates, G and Dharmadasa, K and Brideson, M, Relating Flexibility in Concept Image and Understanding of Limits and Derivatives, Proceedings of the 8th ICMI-East Asia Regional Conference on Mathematics Education, 7-11 May 2018, Taipei, Taiwan, pp. 239-247. ISBN 978-986-05-5784-8 (2018) [Refereed Conference Paper]
Copyright Statement
Copyright 2018 the authors
Official URL: http://earcome8.math.ntnu.edu.tw/
Abstract
Mathematics educators accept that if students demonstrate procedural knowledge - how to
get to an answer in mathematics - it does not necessarily imply that these students
understand why the procedure works (e.g. Tall, 1992; Rittle-Johnson & Alibali, 1999;
Hiebert, 2013). In contrast, if students have conceptual knowledge, we consider they do
understand these principles. Conceptual knowledge can be described as "Explicit or implicit
understanding of the principles that govern a domain and of the interrelations between
pieces of knowledge in a domain" (Rittle-Johnson & Alibali, 1999, p. 175). One of the ways
that students demonstrate conceptual knowledge is by procedural flexibility, where students have "knowledge of multiple ways to solve problems and when to solve them"
Rittle-Johnson & Star, 2007). Tall and Vinner (1981) defined conceptual understanding of
;the necessary procedures as the concept image, the "total cognitive structure that is
associated with the concept" including ''all the mental pictures and associated properties and processes" that are "built up over the years through experiences of all kinds, changing as the individual meets new stimuli and matures" (p. 152).
Item Details
Item Type: | Refereed Conference Paper |
---|---|
Keywords: | student limit derivative |
Research Division: | Education |
Research Group: | Curriculum and pedagogy |
Research Field: | Mathematics and numeracy curriculum and pedagogy |
Objective Division: | Education and Training |
Objective Group: | Learner and learning |
Objective Field: | Learner and learning not elsewhere classified |
UTAS Author: | Reaburn, R (Dr Robyn Reaburn) |
UTAS Author: | Oates, G (Associate Professor Greg Oates) |
UTAS Author: | Dharmadasa, K (Dr Kumudini Dharmadasa) |
UTAS Author: | Brideson, M (Dr Michael Brideson) |
ID Code: | 125889 |
Year Published: | 2018 |
Deposited By: | Education |
Deposited On: | 2018-05-15 |
Last Modified: | 2019-02-13 |
Downloads: | 0 |
Repository Staff Only: item control page