id: 06585983
dt: j
an: 2016d.00784
au: Camacho-Machín, M.; Guerrero-Ortiz, C.
ti: Identifying and exploring relationships between contextual situations and
ordinary differential equations.
so: Int. J. Math. Educ. Sci. Technol. 46, No. 8, 1077-1095 (2015).
py: 2015
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: I75
ut: ordinary differential equations; mathematical models; digital tools;
representation registers
ci:
li: doi:10.1080/0020739X.2015.1025877
ab: Summary: The aim of this paper is to present and discuss some of the
evidence regarding the resources that students use when they establish
relationships between a contextual situation and an ordinary
differential equation (ODE). We present research results obtained from
work by seven students in a graduate level course in mathematics
education, where they were involved in solving tasks based on the study
of ODEs. The students’ mastery of digital tools allowed them to use
and articulate different mathematical representations to comprehend how
phenomena develop. The use of digital tools helped to enhance the
students’ interpretation of the relationships between the context and
the mathematical model associated with it. We also found that
difficulties related to interpretation are grounded in the literal
relationship that students make between their mental model of how a
phenomenon develops and its mathematical representations.
rv: