NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
PDF on ERIC Download full text
ERIC Number: EJ1111795
Record Type: Journal
Publication Date: 2015-Feb
Pages: 26
Abstractor: As Provided
ISSN: EISSN-2014-3621
Inventing (in) Early Geometry, or How Creativity Inheres in the Doing of Mathematics
Maheux, Jean-Fran├žois; Roth, Wolf-Michael
REDIMAT - Journal of Research in Mathematics Education, v4 n1 p6-29 Feb 2015
Inventing is fundamental to mathematical activity, should one be a professional mathematician or a primary school student. Research on mathematical creativity generally is organized along three axes according to its focus on the final product, the overall process, or the individual person. Through these conceptualizations, however, research rarely considers how mathematical actions themselves are fundamentally creative. In this article, we conceptualize mathematical actions as inherently creative of the activity within which professional mathematicians and primary school students experience (some) mathematics for a first time. To make our case, we develop the microanalysis of an exemplary episode of third-grade geometry (age 8-9 years) in which two children and an adult work with a tangram set. Our analysis characterizes inventing (in) geometry as a serendipitous, open-ended experience of working with traces in the receiving and the offering of something novel. In concluding, we propose considering that inventing in early geometry is also inventing geometry itself: an inventing-in-the-act which also result in being invented as a (professional or school) geometer.
Hipatia Press. Claramunt, 4, Local 2 08030, Barcelona, Spain. Tel: +34-93-302-1226: e-mail:; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: Grade 4; Intermediate Grades; Elementary Education; Grade 3; Primary Education; Early Childhood Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A