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Scoring Originality in Mathematical Problem-Solving: Comparison of Criterion-Referenced Scoring with Alternate
A Kadir Bahar1, Iclal Can2, C June Maker3
1Department of Educational Psychology, College of Education, University of Georgia, Athens, GA 30602, USA.
Behavioral Sciences (Basel, Switzerland)
|February 27, 2026
Summary
This study compared different scoring methods for originality in math tasks. Criterion-referenced scoring aligned well with other methods, impacting how we assess students' creative mathematical thinking.
Area of Science:
- Educational Psychology
- Cognitive Science
- Mathematics Education
Background:
- Assessing creativity in education is challenging.
- Originality and fluency are key components of creativity.
- Different scoring methods may yield varied results.
Purpose of the Study:
- To compare criterion-referenced originality scores with sample-based and expert-referenced scores in mathematical problem-solving.
- To analyze how different scoring systems describe the relationship between originality and fluency.
- To inform debates on creativity and educational assessment.
Main Methods:
- Psychometric comparison of three scoring approaches: criterion-referenced, sample-based, and expert-referenced.
- Data collected from 520 elementary school students in New South Wales, Australia.
- Analysis of scoring system descriptions of originality-fluency relationships.
Main Results:
- Criterion-referenced originality scores showed a strong relationship with sample-based and expert-referenced scores.
- The study identified how different scoring methods influence the interpretation of originality and fluency.
- Implications for understanding students' mathematical creativity based on scoring methods.
Conclusions:
- Criterion-referenced scoring is a psychometrically sound method for assessing originality in mathematics.
- Scoring methods significantly impact the interpretation of creative mathematical thinking.
- Findings support the development of fair and meaningful assessment practices for creativity.
Keywords:
creativitycreativity assessmentmathematical creativityoriginalityscoring originalityteaching for creativityMore Related Videos
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