This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Open AccessSystematic Review
Mathematical Creativity: A Systematic Review of Definitions, Frameworks, and Assessment Practices
by
Yasemin Sipahi
Yasemin Sipahi *
and
A. Kadir Bahar
A. Kadir Bahar
Department of Educational Psychology, University of Georgia, 323 Aderhold Hall, Athens, GA 30602, USA
*
Author to whom correspondence should be addressed.
Educ. Sci. 2025, 15(10), 1348; https://doi.org/10.3390/educsci15101348 (registering DOI)
Submission received: 7 September 2025
/
Revised: 7 October 2025
/
Accepted: 9 October 2025
/
Published: 11 October 2025
Abstract
Mathematical creativity (MC) plays an important role in mathematics and education; however, its conceptualization and assessment remain inconsistent across empirical studies. This systematic review examined how MC has been defined, conceptualized, and assessed across 80 empirical studies involving K-12 populations. Through thematic analysis, the study identified three definition types: divergent thinking, problem-solving, and problem-posing, as well as affective–motivational emphasis. We organized theoretical frameworks into three categories: domain-general, domain-specific, and multidimensional frameworks. Results showed that the most common definitions emphasized divergent thinking components while fewer studies highlighted affective and dispositional factors. Domain-specific frameworks were the most frequently used, followed by multidimensional frameworks. Regarding assessment, studies predominantly relied on divergent-thinking scoring. Most assessments used criterion-referenced rubrics with norm-based comparisons. They were delivered mainly in paper-pencil format. Tasks were typically open-ended multiple-solution problems with fewer studies using self-reports or observational methods. Overall, the field prioritizes product-based scoring (e.g., fluency, flexibility, originality) over evidence about students’ solution processes (e.g., reasoning, metacognitive monitoring). To improve cross-context comparability, future work should standardize and transparently report age, grade, and country coding and scoring practices.
Share and Cite
MDPI and ACS Style
Sipahi, Y.; Bahar, A.K.
Mathematical Creativity: A Systematic Review of Definitions, Frameworks, and Assessment Practices. Educ. Sci. 2025, 15, 1348.
https://doi.org/10.3390/educsci15101348
AMA Style
Sipahi Y, Bahar AK.
Mathematical Creativity: A Systematic Review of Definitions, Frameworks, and Assessment Practices. Education Sciences. 2025; 15(10):1348.
https://doi.org/10.3390/educsci15101348
Chicago/Turabian Style
Sipahi, Yasemin, and A. Kadir Bahar.
2025. "Mathematical Creativity: A Systematic Review of Definitions, Frameworks, and Assessment Practices" Education Sciences 15, no. 10: 1348.
https://doi.org/10.3390/educsci15101348
APA Style
Sipahi, Y., & Bahar, A. K.
(2025). Mathematical Creativity: A Systematic Review of Definitions, Frameworks, and Assessment Practices. Education Sciences, 15(10), 1348.
https://doi.org/10.3390/educsci15101348
Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details
here.
Article Metrics
Article Access Statistics
For more information on the journal statistics, click
here.
Multiple requests from the same IP address are counted as one view.