
06589119
a
2016c.00741
Jones, Keith
Fujita, Taro
Kunimune, Susumu
Representations and reasoning in 3D geometry in lower secondary school.
Tso, TaiYih (ed.), Proceedings of the 36th conference of the International Group for the Psychology of Mathematics Education ``Opportunities to learn in mathematics education", PME 36, Taipei, Taiwan, July 1822, 2012, Vol. 2. Taipei: National Taiwan Normal University. 339346 (2012).
2012
Taipei: National Taiwan Normal University
EN
G43
E53
reasoning
geometric objects
representation
3D geometry
Summary: A key question for research in geometry education is how learners' reasoning is influenced by the ways in which geometric objects are represented. When the geometric objects are threedimensional, a particular issue is when the representation is twodimensional (such as in a book or on the classroom board). This paper reports on data from lower secondary school pupils (aged 1215) who tackled a 3D geometry problem that used a particular representation of the cube. The analysis focuses on how the students used the representation in order to deduce information and solve the 3D problem. This analysis shows how some students can take the cube as an abstract geometrical object and reason about it beyond reference to the representation, while others need to be offered alternative representations to help them `see' the proof.