id: 06540168
dt: a
an: 2016b.00843
au: Geiger, Vince; Frejd, Peter
ti: A reflection on mathematical modelling and applications as a field of
research: theoretical orientation and diversity.
so: Stillman, Gloria Ann (ed.) et al., Mathematical modelling in education
research and practice. Cultural, social and cognitive influences. Cham:
Springer (ISBN 978-3-319-18271-1/hbk; 978-3-319-18272-8/ebook).
International Perspectives on the Teaching and Learning of Mathematical
Modelling, 161-171 (2015).
py: 2015
pu: Cham: Springer
la: EN
cc: M10 D20
ut: modeling; mathematical applications; diversity of theory
ci:
li: doi:10.1007/978-3-319-18272-8_12
ab: Summary: This chapter explores the nature of theoretical approaches used in
mathematical applications and modelling research literature focusing on
the orientation and diversity of these approaches within this field.
The study is based on the document analysis of a sample of book
chapters from significant scholarly volumes dedicated to applications
and modelling published between 2002 and 2011. Our analysis reveals
that: research is oriented towards learners and teachers rather than to
contexts for learning; the number of chapters that tied theory to
practice increased whilst chapters focused on purely professional
issues decreased; the diversity of theoretical approaches utilised
increased over time; and, use of local theories specific to
mathematical modelling coalesce around two approaches.
rv: