The University of Montana
Department of Mathematical Sciences

Technical report #9/2005

Exploring Young Children's Geometrical Strategies through Dynamic Transformation of Polygons and Geometrical Models

Athanasios Gagatsis
University of Cyprus, Cyprus

Bharath Sriraman
The University of Montana, USA

Iliada Elia & Modestina Modestou
University of Cyprus, Cyprus


Abstract

This study explores young children's strategies while transforming polygons, through the use of geometrical models. Data were collected from 291 children ranging from 4 to 8 years of age in Cyprus. Children were asked to draw a stairway of specific polygons, with each shape being bigger or smaller than its preceding one. Relationships between children's responses in the transformation tasks, their ability to recognize geometric shapes and their IQ level were investigated. Results showed that children used three alternative strategies in the transformation tasks. Children's IQ score was directly associated with their transformation strategies, while only a low recognition ability was associated with the use of a defective strategy.

Keywords: geometric models, geometric transformation, dynamic intuition, polygons, van Hiele levels, geometric shapes' recognition, IQ, implicative and similarity diagram

AMS Subject Classification: 97

Pre-print of: Gagatsis, A., Sriraman, B ., Elia,I., and Modestou, M (2006) Exploring Young Children’s Geometrical Strategies through Dynamic Transformation of Polygons and Geometrical Models. In press in Nordic Studies in Mathematics Education.

Download Technical Report: Pdf (235 KB)