, Volume 45, Issue 2, pp 167181
First online:
Connecting mathematical creativity to mathematical ability
 Maria KattouAffiliated withDepartment of Education, University of Cyprus Email author
 , Katerina KontoyianniAffiliated withDepartment of Education, University of Cyprus
 , Demetra PittaPantaziAffiliated withDepartment of Education, University of Cyprus
 , Constantinos ChristouAffiliated withDepartment of Education, University of Cyprus
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This study aims to investigate whether there is a relationship between mathematical ability and mathematical creativity, and to examine the structure of this relationship. Furthermore, in order to validate the relationship between the two constructs, we will trace groups of students that differ across mathematical ability and investigate the relationships amongst these students’ performance on a mathematical ability test and the components of mathematical creativity. Data were collected by administering two tests, a mathematical ability and a mathematical creativity test, to 359 elementary school students. Mathematical ability was considered as a multidimensional construct, including quantitative ability (number sense and prealgebraic reasoning), causal ability (examination of cause–effect relations), spatial ability (paper folding, perspective and spatial rotation abilities), qualitative ability (processing of similarity and difference relations) and inductive/deductive ability. Mathematical creativity was defined as a domainspecific characteristic, enabling individuals to be characterized by fluency, flexibility and originality in the domain of mathematics. The data analysis revealed that there is a positive correlation between mathematical creativity and mathematical ability. Moreover, confirmatory factor analysis suggested that mathematical creativity is a subcomponent of mathematical ability. Further, latent class analysis showed that three different categories of students can be identified varying in mathematical ability. These groups of students varying in mathematical ability also reflected three categories of students varying in mathematical creativity.
Keywords
Mathematical creativity Mathematical ability Alternative models Fluency Flexibility Originality Title
 Connecting mathematical creativity to mathematical ability
 Journal

ZDM
Volume 45, Issue 2 , pp 167181
 Cover Date
 201304
 DOI
 10.1007/s1185801204671
 Print ISSN
 18639690
 Online ISSN
 18639704
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Mathematical creativity
 Mathematical ability
 Alternative models
 Fluency
 Flexibility
 Originality
 Authors

 Maria Kattou ^{(1)}
 Katerina Kontoyianni ^{(1)}
 Demetra PittaPantazi ^{(1)}
 Constantinos Christou ^{(1)}
 Author Affiliations

 1. Department of Education, University of Cyprus, P.O. Box 20537, 1678, Nicosia, Cyprus