id: 06390817
dt: j
an: 2015a.00457
au: Kilhamn, Cecilia
ti: When does a variable vary? Identifying mathematical content knowledge for
teaching variables.
so: Nord. Mat.didakt. 19, No. 3-4, 83-100 (2014).
py: 2014
pu: Nationellt Centrum för Matematikutbildning (NCM), Göteborgs Universitet,
Göteborg
la: EN
cc: D69 H29 D20
ut: algebraic expressions; specialized content knowledge; mathematical
knowledge for teaching; variables
ci:
li:
ab: Summary: In what sense is $x$ in the expression $x+2$ a variable? What do
teachers need to know about variables in order to create optimal
learning conditions for students? The aim of this study is to
understand the mathematical issues and demands of teaching the concept
of variables, to outline a body of specialized content knowledge for
teaching (SCK). Data from two lessons in two Swedish grade 6
classrooms, with complimentary focus group interviews, were analysed
using the mathematical knowledge for teaching framework. Findings
suggest some aspects of SCK to be an awareness of the different roles
of the algebraic letter $x$ in the expression $x+3$, the equation
$x+3=8$ and the formula $x+3=y$, an appropriate use of the terms
unknown and variable, and the importance of mathematical contexts for
expressions.
rv: