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October 15, 2025Education Sciences6 citationsOpen Access

Mathematical Creativity: A Systematic Review of Definitions, Frameworks, and Assessment Practices

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YSYasemin SipahiKBKadir Bahar

Key Points

  • The most common definitions of mathematical creativity emphasized divergent thinking components, with affective factors receiving less focus.
  • Categorization of theoretical frameworks revealed domain-specific frameworks were the most frequently used, followed by multidimensional frameworks.
  • Assessment methods mainly utilized divergent-thinking scoring, predominantly through criterion-referenced rubrics with norm-based comparisons.
  • The study emphasizes the need for standardized reporting practices to improve cross-context comparability of mathematical creativity assessment.

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.

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Cite This Study

Sipahi et al. (2025) studied this question.

synapsesocial.com/papers/68efd921056559ef42877440https://doi.org/10.3390/educsci15101348
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