
06270699
j
2014b.00296
Teppo, Anne
van den HeuvelPanhuizen, Marja
Visual representations as objects of analysis: the number line as an example.
ZDM, Int. J. Math. Educ. 46, No. 1, 4558 (2014).
2014
Springer, Berlin/Heidelberg
EN
D40
F20
D20
number line
number line tasks
representational aspects of number line
subjectrelated analysis
number line as tool
number line as structural reference context
doi:10.1007/s1185801305182
Summary: Our paper examines the representational nature of number lines as they are used in instructional tasks. The examination is informed by a socalled 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.