id: 06270699
dt: j
an: 2014b.00296
au: Teppo, Anne; van den Heuvel-Panhuizen, Marja
ti: Visual representations as objects of analysis: the number line as an
example.
so: ZDM, Int. J. Math. Educ. 46, No. 1, 45-58 (2014).
py: 2014
pu: Springer, Berlin/Heidelberg
la: EN
cc: D40 F20 D20
ut: number line; number line tasks; representational aspects of number line;
subject-related analysis; number line as tool; number line as
structural reference context
ci:
li: doi:10.1007/s11858-013-0518-2
ab: Summary: Our paper examines the representational nature of number lines as
they are used in instructional tasks. The examination is informed by a
so-called mathedidactical analysis of the number line as a tool used in
teaching students mathematics. This analysis led to the identification
of a family of number line models, based on visual aspects of number
lines each reflecting different forms and functions. In the article,
number line tasks are unpacked to illustrate the visual
representational components of particular number line models. We
illuminate how these components of the models provide tools to locate
whole numbers and integers, operate with them, and facilitate reasoning
and understanding of underlying mathematical concepts.
rv: