Understanding Geometric Terms and the Development of Lower Graders’ Geometric Reasoning According to Van Hiele’s Theory

Van Hieleova teorija o razvoju geometrijskog mišljenja pretpostavlja razine učeničkog mišljenja u području geometrije koje ne ovise o godinama starosti učenika. Ovaj rad ukratko predstavlja van Hieleovu teoriju o razvoju geometrijskog mišljenja i geometrijske sadržaje koji se uče u nastavi matematike u nižim razredima osnovne škole, a koji pogoduju tom razvoju. Prema van Hieleovoj teoriji učenici primjerenim aktivnostima razvijaju svoje geometrijsko mišljenje i napreduju po razinama. Rad predstavlja i istraživanje provedeno među 316 učenika nižih razreda osnovne škole kojim se želi ustvrditi napreduju li učenici prema van Hieleovim razinama kroz prva četiri razreda osnovne škole.Van Hiele theory of the development of geometric reasoning presumes a level of student thinking in the field of geometry, which does not depend on the age of students. This paper briefly presents Hiele’s theory of the development of geometric reasoning and geometric content through the teaching of mathematics in primary schools, which should lead to the development of students’ geometric reasoning. According to Hiele’s theory, appropriate activities develop students’ geometric reasoning and enable students’ progress through levels. The paper presents the survey conducted among 316 students in lower grades of primary school, with the aim to determine whether students make progress according to Hiele’s levels in the first four grades of primary school