id: 05258814
dt: a
an: 2008b.00366
au: Martinez, Mara; Brizuela, Barbara
ti: An unexpected way of thinking about linear function tables.
so: Novotná, Jarmila (ed.) et al., Mathematics in the centre. Proceedings of
the 30th annual conference of the International Group for the
Psychology of Mathematics Education, PME, Prague, Czech Republic, July
16‒21, 2006. Vol. 1-5. Prague: Charles University, Faculty of
Education. Part 4, 153-160 (2006).
py: 2006
pu: Prague: Charles University, Faculty of Education
la: EN
cc: H22 D42 C32
ut: elementary algebra; functional approach; grade 3; concept formation;
function tables; case studies
ci:
li:
ab: Summary: This paper is inscribed within the research effort to produce
evidence regarding primary school students’ learning of algebra.
Given the results obtained so far in the research community, we are
convinced that students as young as third graders can successfully
learn algebra. In our research, we introduce algebra from a functional
perspective. A functional perspective moves away from the mere symbolic
manipulation of equations and focuses on relationships between
variables. In this paper, we present a case study where a third grader,
Marisa, produces an unexpected strategy when trying to come up with the
formula of a linear function while she was working with a function
table.
rv: