Identifying and fostering higher levels of geometric thinking

Škrbec, Maja (author), Hodnik, Tatjana (author)

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.

• Language: English
• Keywords: geometry, levels of geometric thinking, second triad, the promotion of geometric thinking
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education
• Publication status: Published
• Publication version: Version of Record
• Year: 2015
• Number of pages: Str. 601-617
• Numbering: Vol. 11, no. 3
• PID: 20.500.12556/RUL-70756
• UDC: 373.32.016:51
• ISSN on article: 1305-8223
• DOI: 10.12973/eurasia.2015.1339a
• COBISS.SI-ID: 10548809

Copyright

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

• Publication date in RUL: 10.07.2015

Record is a part of a journal

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

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: druga triada, matematika, geometrija, mišljenje, osnovnošolski pouk