id: 05841121
dt: j
an: 2011a.00622
au: Fernández, Ceneida; Llinares, Salvador; Modestou, Modestina; Gagatsis,
Athanasios
ti: Proportional reasoning: How task variables influence the development of
students’ strategies from primary to secondary school.
so: Acta Didact. Univ. Comen., Math., No. 10, 1-18 (2010).
py: 2010
pu: Comenius University Press, Bratislava
la: EN
cc: F93 F83 C33 D23 K93
ut: proportional reasoning; proportional strategies; additive strategies;
grades 5-10; problem solving; empirical investigations; educational
research; CHIC; implicative statistical analysis
ci:
li:
ab: Summary: This study explores the development of students’ strategies from
primary to secondary school when solving proportional and additive
problems. Its goal is to identify characteristics of the development of
proportional reasoning and how the use of integer and non-integer
ratios and the discrete or continuous nature of quantities influence
this development. The findings indicate that primary school students
use systematically the additive strategy in proportional and additive
situations and that secondary school students present a wider variety
of strategies, which are also used systematically. The type of ratio
and the nature of the quantities influenced differently the development
of these behaviors.
rv: