id: 06585988
dt: j
an: 2016d.00418
au: Viirman, Olov
ti: Explanation, motivation and question posing routines in university
mathematics teachers’ pedagogical discourse: a commognitive analysis.
so: Int. J. Math. Educ. Sci. Technol. 46, No. 8, 1165-1181 (2015).
py: 2015
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: D45 C75
ut: university education; commognitive framework; function; discourse; teaching
ci:
li: doi:10.1080/0020739X.2015.1034206
ab: Summary: This paper investigates the teaching practices used by university
mathematics teachers when lecturing, a topic within university
mathematics education research which is gaining an increasing interest.
In the study, a view of mathematics teaching as a discursive practice
is taken, and Sfard’s commognitive framework is used to investigate
the teaching practices of seven Swedish university mathematics teachers
on the topic of functions. The present paper looks at the discourse of
mathematics teaching, presenting a categorization of the didactical
routines into three categories ‒ explanation, motivation and question
posing routines. All of these are present in the discourses of all
seven teachers, but within these general categories, a number of
different sub-categories of routines are found, used in different ways
and to different extent by the various teachers. The explanation
routines include known mathematical facts, summary and repetition,
different representations, everyday language, and concretization and
metaphor; the motivation routines include reference to utility, the
nature of mathematics, humour and result focus; and the question posing
routines include control questions, asking for facts, enquiries and
rhetorical questions. This categorization of question posing routines,
for instance, complements those already found in the literature. In
addition to providing a valuable insight into the teaching of functions
at the university level, the categorizations presented in the study can
also be useful for investigating the teaching of other mathematical
topics.
rv: