id: 06297567
dt: a
an: 2014c.00696
au: Chrysostomou, Marilena; Christou, Constantinos
ti: Examining 5th grade students’ ability to operate on unknowns through
their levels of justification.
so: Lindmeier, Anke M. (ed.) et al., Proceedings of the 37th conference of the
International Group for the Psychology of Mathematics Education
“Mathematics learning across the life span", PME 37, Kiel, Germany,
July 28‒August 2, 2013. Vol. 2. Kiel: IPN‒Leibniz Institute for
Science and Mathematics Education at the University of Kiel (ISBN
978-3-89088-288-8). 185-192 (2013).
py: 2013
pu: Kiel: IPN‒Leibniz Institute for Science and Mathematics Education at the
University of Kiel
la: EN
cc: H23 C33 C43
ut: levels of justification; students’ ability; operating on unknowns;
algebraic expressions
ci:
li:
ab: Summary: The study examines students’ ability to operate on unknowns
through students’ levels of justification in generalized arithmetic
tasks in which algebraic expressions are present. Two tasks about
generalization of properties of numbers were administered to 73
fifth-grade elementary school students and then 10 semi-structured
interviews were carried out. Results indicate that a respectable
percentage of students can operate on one unknown by providing
generalizable arguments about the result of an “$\text{unknown even
number}+3$" without the need of reducing abstraction. On the contrary,
most of the students face difficulties to think at an abstract level
when confronted with the operation that involves two unknowns and
provide numerical examples as justifications. Implications of these
findings are discussed.
rv: