, Volume 48, Issue 5, pp 691–719 | Cite as

Recent research on geometry education: an ICME-13 survey team report

  • Nathalie SinclairEmail author
  • Maria G. Bartolini Bussi
  • Michael de Villiers
  • Keith Jones
  • Ulrich Kortenkamp
  • Allen Leung
  • Kay Owens
Survey Paper


This survey on the theme of Geometry Education (including new technologies) focuses chiefly on the time span since 2008. Based on our review of the research literature published during this time span (in refereed journal articles, conference proceedings and edited books), we have jointly identified seven major threads of contributions that span from the early years of learning (pre-school and primary school) through to post-compulsory education and to the issue of mathematics teacher education for geometry. These threads are as follows: developments and trends in the use of theories; advances in the understanding of visuo spatial reasoning; the use and role of diagrams and gestures; advances in the understanding of the role of digital technologies; advances in the understanding of the teaching and learning of definitions; advances in the understanding of the teaching and learning of the proving process; and, moving beyond traditional Euclidean approaches. Within each theme, we identify relevant research and also offer commentary on future directions.


Geometry Technology Diagrams Definitions Gestures Proving Digital technology Visuospatial reasoning 


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Copyright information

© FIZ Karlsruhe 2016

Authors and Affiliations

  • Nathalie Sinclair
    • 1
    Email author
  • Maria G. Bartolini Bussi
    • 2
  • Michael de Villiers
    • 3
  • Keith Jones
    • 4
  • Ulrich Kortenkamp
    • 5
  • Allen Leung
    • 6
  • Kay Owens
    • 7
  1. 1.Simon Fraser UniversityBurnabyCanada
  2. 2.Università di Modena e Reggio EmiliaReggio EmiliaItaly
  3. 3.University of StellenboschStellenboschSouth Africa
  4. 4.University of SouthamptonSouthamptonUK
  5. 5.University of PotsdamPotsdamGermany
  6. 6.Hong Kong Baptist UniversityKowloon TongHong Kong SAR
  7. 7.Charles Sturt UniversityDubboAustralia

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