Identifying and fostering higher levels of geometric thinking

Škrbec, Maja (avtor), Hodnik, Tatjana (avtor)

Pierre M. Van Hiele created five levels of geometric thinking. We decided to identify the level of geometric thinking in the students in Slovenia, aged 9 to 11 years. The majority of students (60.7 %) are at the transition between the zero (visual) level and the first (descriptive) level of geometric thinking. Nearly a third (31.7%) of students is at the first level whereas 4.3 % of students are at the zero level. Only 1.4 % of students reached the second level of geometric thinking. Students had the most difficulty with the use of appropriate geometric language, so a teaching approach to improve mathematical language was created, in an attempt to accelerate the transition to a higher level of geometric thinking. The teaching approach that proved successful was based on the use of different materials, concrete experiences, promoting the use of appropriate geometric language and motivation of students.

• Jezik: Angleški jezik
• Ključne besede: geometry, levels of geometric thinking, second triad, the promotion of geometric thinking
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2015
• Št. strani: Str. 601-617
• Številčenje: Vol. 11, no. 3
• PID: 20.500.12556/RUL-70756
• UDK: 373.32.016:51
• ISSN pri članku: 1305-8223
• DOI: 10.12973/eurasia.2015.1339a
• COBISS.SI-ID: 10548809

Avtorske pravice

Podatek o licenci CC BY je naveden na pristajalni strani članka (glej zgoraj izvorni URL). (Datum opombe: 11. 8. 2025)

• Datum objave v RUL: 10.07.2015

Gradivo je del revije

• Naslov: Eurasia journal of mathematics, science and technology education
• Založnik: Modestum
• ISSN: 1305-8223
• COBISS.SI-ID: 17061128

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: druga triada, matematika, geometrija, mišljenje, osnovnošolski pouk