id: 05157073
dt: j
an: 2007a.00091
au: Warren, Elizabeth A.; Cooper, Tom J.; Lamb, Janeen T.
ti: Investigating functional thinking in the elementary classroom: foundations
of early algebraic reasoning.
so: J. Math. Behav. 25, No. 3, 208-223 (2006).
py: 2006
pu: Elsevier, New York, NY
la: EN
cc: C32
ut: learning; elementary algebra; function; functional thinking; algebraic
reasoning
ci:
li: doi:10.1016/j.jmathb.2006.09.006
ab: Summary: This paper examines the development of student functional thinking
during a teaching experiment that was conducted in two classrooms with
a total of 45 children whose average age was nine years and six months.
The teaching comprised four lessons taught by a researcher, with a
second researcher and classroom teacher acting as participant
observers. These lessons were designed to enable students to build
mental representations in order to explore the use of function tables
by focusing on the relationship between input and output numbers with
the intention of extracting the algebraic nature of the arithmetic
involved. All lessons were videotaped. The results indicate that
elementary students are not only capable of developing functional
thinking but also of communicating their thinking both verbally and
symbolically.
rv: