The van Hiele levels of geometric thought of secondary school and junior college students

Abstract

The van Hiele model for geometric thinking was first proposed by two Dutch educators, Pierre Marie van Hiele and Dina van Hiele-Geldolf in 1957. The model postulated that a learner, with appropriate instructional experiences, passes sequentially through five levels of thinking (namely, level 1 to 5) and each level is characterised by descriptions of student behaviour. The van Hieles also proposed five phases of learning which each learner will have, to go through in order to move from one level to the next.