id: 06434152
dt: a
an: 2015c.00125
au: Dreher, Anika; Kuntze, Sebastian; Winkel, Kirsten
ti: Empirical study of a competence structure model regarding conversions of
representations ‒ the case of fractions.
so: Nicol, Cynthia (ed.) et al., Proceedings of the 38th conference of the
International Group for the Psychology of Mathematics Education
“Mathematics education at the edge", PME 38 held jointly with the
36th conference of PME-NA, Vancouver, Canada, July 15‒20, 2014, Vol.
2. [s. l.]: International Group for the Psychology of Mathematics
Education (ISBN 978-0-86491-360-9/set; 978-0-86491-362-3/v.2). 425-432
(2014).
py: 2014
pu: [s. l.]: International Group for the Psychology of Mathematics Education
la: EN
cc: C30 F40 D20
ut: competencies; competence structure; conversion of representations;
fractions
ci:
li:
ab: Summary: Given the key role of conversions of representations for
mathematical understanding, it is highly relevant to investigate in
detail competencies regarding conversions of representations. In
particular, a corresponding competence model should not only be
developed theoretically, but also examined empirically. However, such
empirical studies are rather scarce, especially concerning content
domains other than functions. Consequently, this study focuses on the
design and empirical validation of a competence structure model
regarding conversions of representations in the domain of fractions
using multidimensional item response modelling. The results suggest
that the data support the theoretically developed structure of the
model and moreover, they indicate a hierarchical relationship which may
give rise to a competence level model.
rv: