Creativity in Students' Modelling Competencies: Conceptualisation and Measurement

Autor/inn/en	Lu, Xiaoli; Kaiser, Gabriele
Titel	Creativity in Students' Modelling Competencies: Conceptualisation and Measurement
Quelle	In: Educational Studies in Mathematics, 109 (2022) 2, S.287-311 (25 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Kaiser, Gabriele)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0013-1954
DOI	10.1007/s10649-021-10055-y
Schlagwörter	Mathematical Models; Mathematics Skills; Creativity; Problem Solving; Secondary School Students; Measurement Techniques; Student Evaluation; Foreign Countries; China + Suchen Sie Ihr Suchwort? Mathematical model; Mathematisches Modell; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; Kreativität; Problemlösen; Sekundarschüler; Messtechnik; Schulnote; Studentische Bewertung; Ausland
Abstract	Modelling competencies are currently included in numerous curricula worldwide and are generally accepted as a complex, process-oriented construct. Therefore, effective measurement should include multiple dimensions, like the sub-competencies required throughout the modelling process. Departing from the characteristics of modelling problems as open and often underdetermined real-world problems, we propose to enrich the current conceptualisation of mathematical modelling competencies by including creativity, which plays an important role in numerous phases of the mathematical modelling process but has scarcely been considered in modelling discourse. In the study described in this paper, a new instrument for the evaluation of this enriched construct has been developed and implemented. The modelling competencies incorporating creativity of the students were evaluated based on the adequacy of the models and the modelling processes proposed, and the appropriateness and completeness of the approaches were evaluated in detail. Adapting measurement approaches for creativity that have been developed in the problem-solving discourse, certain criteria of creativity were selected to evaluate the creativity of the students' approaches in tackling modelling problems--namely, usefulness, fluency, and originality. The empirical study was conducted among 107 Chinese students at the upper secondary school level, who attended a modelling camp and independently solved three complex modelling problems. The results reveal significant correlations between fluency and originality in students' performances across all tasks; however, the relationships between usefulness and the other two creativity aspects were not consistent. Overall, the results of the study support the importance of the inclusion of creativity in the construct of modelling competencies. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01