Reciprocal relations of relative size in the instructional context of fractions as measures

Cortina, Jose Luis and Visnovska, Jana (2016). Reciprocal relations of relative size in the instructional context of fractions as measures. In: C. Csikos, A. Rausch and J. Szitanyi, How to solve it?. 40th Conference of the International Group for the Psychology of Mathematics Education, Szeged, Hungary, (179-186). 3-7 August 2016.

Author Cortina, Jose Luis
Visnovska, Jana
Title of paper Reciprocal relations of relative size in the instructional context of fractions as measures
Conference name 40th Conference of the International Group for the Psychology of Mathematics Education
Conference location Szeged, Hungary
Conference dates 3-7 August 2016
Proceedings title How to solve it?
Place of Publication Szeged, Hungary
Publisher PME
Publication Year 2016
Sub-type Fully published paper
Open Access Status Not yet assessed
Editor C. Csikos
A. Rausch
J. Szitanyi
Volume 2
Start page 179
End page 186
Total pages 8
Collection year 2018
Language eng
Abstract/Summary The presented study is part of a bigger design and research enterprise in the teaching of fractions as measures. We analyze extracts of a teaching session with a single fifth grade student, in which he flexibly compared the relative sizes of the lengths of three drinking straws, skillfully using unitary, proper, and improper fractions. We identify aspects of his prior instructional experiences that supported the emergence of his relatively sophisticated ways of reasoning. Findings suggest that supporting students' reasoning about reciprocal relations of relative size can be a viable goal in an instructional agenda on fractions as measures.
Keyword fraction learning
design research
Q-Index Code E1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Conference Paper
Collections: HERDC Pre-Audit
School of Education Publications
 
Versions
Version Filter Type
Citation counts: Google Scholar Search Google Scholar
Created: Thu, 13 Apr 2017, 11:58:42 EST by Dr Jana Visnovska on behalf of School of Education