PME-NA

Reversible Partitive Fraction Scheme in a PST: The Case of Annie

• In Event: Fractions and Teacher Education

Description

This paper describes the trajectory of a preservice elementary teacher’s (PST) construction of a reversible partitive fraction scheme (RPFS) and its role in the construction of a scheme to solve sharing fraction division problems (SFDPs). Two PSTs participated in a 10-episode teaching experiment to explore their construction of fraction knowledge. In this paper, we document part of the trajectory of one PST, Annie, who had not constructed an RPFS at the beginning of the experiment. We found that the lack of construction of an RPFS led to Annie solving SFDPs as measurement fraction division problems (MFDPs). However, in later episodes, Annie showed evidence of the initial construction of both her RPFS and a scheme to solve SFDPs.

Authors

• Jonathan Valero, Indiana University Bloomington

• Amy J Hackenberg, Indiana University-Bloomington