id: 06571526
dt: j
an: 2016c.00827
au: Cañadas, María C.; Brizuela, Bárbara M.; Blanton, Maria
ti: Second graders articulating ideas about linear functional relationships.
so: J. Math. Behav. 41, 87-103 (2016).
py: 2016
pu: Elsevier, New York, NY
la: EN
cc: I22 C52
ut: quantities; functional thinking; early algebra; elementary students
ci:
li: doi:10.1016/j.jmathb.2015.10.004
ab: Summary: In this paper, we explore the ideas that second grade students
articulate about functional relationships. We adopt a function-based
approach to introduce elementary school children to algebraic content.
We present results from a design-based research study carried out with
21 second-grade students (approximately 7 years of age). We focus on a
lesson from our classroom teaching experiment in which the students
were working on a problem that involved a linear functional
relationship ($y=2x$). From the analysis of students’ written work
and classroom video, we illustrate two different approaches that
students adopt to express the relationship between two quantities.
Students show fluency recontextualizing the problem posed, moving
between extra-mathematical and intra-mathematical contexts.
rv: