id: 06134915
dt: a
an: 2013a.00451
au: Breen, Sinead; O’Shea, Ann; Pfeiffer, Kirsten
ti: “The backwards ones?" ‒ Undergraduate students’ reactions and
approaches to example generation exercises.
so: Smith, C. (ed.), Proceedings of the British Society for Research into
Learning Mathematics (BSRLM). Vol. 32, No. 1. Proceedings of the day
conference, University of Manchester, UK, March 3, 2012. London:
British Society for Research into Learning Mathematics (BSRLM). 7-12
(2012).
py: 2012
pu: London: British Society for Research into Learning Mathematics (BSRLM)
la: EN
cc: D55 I45 I55 I25
ut: example generation tasks; conceptual understanding; interview data;
calculus
ci:
li:
ab: Summary: As part of a project exploring the design and use of mathematical
tasks to promote conceptual understanding of calculus concepts, first
year undergraduate students were assigned homework problems which
required them to use various processes including generalising,
conjecturing, evaluating statements, analysing reasoning and generating
examples. In subsequent interviews with five students, a number of them
spontaneously referred to the example generation problems posed as
being the “backwards ones" or requiring them to work backwards as
well as forwards. In this paper, the authors report on the students’
reactions to a particular example generation exercise, the strategies
they adopted in an effort to solve such problems, and what they feel
and they learnt in the process.
rv: