Early-years teachersâ€™ concept images and concept definitions: triangles, circles, and cylinders. (English)

ZDM, Math. Educ. 47, No. 3, 497-509 (2015).

Summary: This study investigates practicing early-years teachersâ€™ concept images and concept definitions for triangles, circles, and cylinders. Teachers were requested to define each figure and then to identify various examples and non-examples of the figure. Teachersâ€™ use of correct and precise mathematical language and reference to critical and non-critical attributes was also investigated. Results indicated that, in general, teachers were able to identify examples and non-examples of triangles and define triangles, were able to identify examples and non-examples of circles but had difficulties defining circles, and had some difficulties in both identifying examples and non-examples of cylinders and defining cylinders. Possible reasons for these results are discussed.