\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2008a.00301}
\itemau{Mamede, Ema; Nunes, Terezinha; Bryant, Peter}
\itemti{The equivalence and ordering of fractions in part-whole and quotient situations.}
\itemso{Chick, H. L. (ed.) et al., Proceedings of the 29th annual conference of the International Group for the Psychology of Mathematics Education, PME 29, Melbourne, Australia, July 10--15, 2005. Vol 1-4. Melbourne: University of Melbourne, Dep. of Science and Mathematics Education. Part III, 281-288 (2005).}
\itemab
Summary: This paper describes children's understanding of equivalence, ordering of fractions, and naming of fractions in part-whole and quotient situations. The study involves eighty first-grade children, aged 6 and 7 years from Braga, Portugal. Three questions were addressed: (1) How do children understand the equivalence of fractions in part-whole and quotient situations? (2) How do they master the ordering of fractions in these situations? (3) How do children learn to represent fractions with numbers in these situations? A quantitative analysis showed that the situations in which the concept of fractions is used affected childrens' understanding; their performance in quotient situations was better than their performance in problems presented in part- whole situations. The strategies used also differed across these two situations.
\itemrv{~}
\itemcc{F42 C32 A62}
\itemut{ordering of fractions; understanding; empirical investigations; grade 1; primary education}
\itemli{emis:proceedings/PME29/PME29RRPapers/PME29Vol3MamedeEtAl.pdf}
\end