id: 05704947
dt: j
an: 2010c.00137
au: Llinares, Salvador; Roig, Ana Isabel
ti: Secondary school students’ construction and use of mathematical models in
solving word problems.
so: Int. J. Sci. Math. Educ. 6, No. 3, 505-532 (2008).
py: 2008
pu: Springer Netherlands, Dordrecht
la: EN
cc: C33 D53 F93
ut: abstraction; conceptual learning; mathematical competence; mathematical
models; mathematical modelling; word problems; problem solving; stages
of learning; lower secondary; empirical investigations
ci:
li: doi:10.1007/s10763-006-9055-6
ab: Summary: This study focussed on how secondary school students construct and
use mathematical models as conceptual tools when solving word problems.
The participants were 511 secondary-school students who were in the
final year of compulsory education (15-16 years old). Four levels of
the development of constructing and using mathematical models were
identified using a constant-comparative methodology to analyse the
student’s problem-solving processes. Identifying the general in the
particular and using the particular to endow the general with meaning
were the key elements employed by students in the processes of
construction and use of models in the different situations. In
addition, attention was paid to the difficulties that students had in
using their mathematical knowledge to solve these situations. Finally,
implications are provided for drawing upon student’s use of
mathematical models as conceptual tools to support the development of
mathematical competence from socio-cultural perspectives of learning.
rv: