id: 06576074
dt: j
an: 2016c.01085
au: Guerrero-Ortiz, Carolina; Mejía-Velasco, Hugo R.; Camacho-Machín, Matías
ti: Representations of a mathematical model as a means of analysing growth
phenomena.
so: J. Math. Behav. 42, 109-126 (2016).
py: 2016
pu: Elsevier, New York, NY
la: EN
cc: U75 I75 I25 M55
ut: digital tools; interpreting; ordinary differential equations;
representations; mathematical models
ci:
li: doi:10.1016/j.jmathb.2016.03.001
ab: Summary: In the context of qualitative research, this paper presents and
analyses the strategies students used and the mathematical ideas that
come to light when working with two tasks involving the study of
relationships arising between a contextual situation and an associated
mathematical model. The results show that by studying the different
mathematical representations with the support of digital tools, it is
possible for students to develop different analysis strategies that
help them to understand the behaviour of the phenomenon and the
connections between the associated representations. Extensive use of
registers of representation could be seen as a means of interpreting
and establishing the relationship between the mathematical model and
the corresponding context. These results are an extension of the work
on the qualitative study of differential equations and how students
interpret them.
rv: