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Author(s): Leuders, Timo; Bruder, Regina; Kröhne, Ulf; Naccarella, Dominik; Nitsch, Renate; Henning-Kahmann, Jan; Kelava, Augustin; Wirtz, Markus
Title: Development, validation and application of a competence model for mathematical problem solving by using and translating representations of functions
In: Leutner, Detlev;Fleischer, Jens;Grünkorn, Juliane;Klieme, Eckhard (Hrsg.): Competence assessment in education: Research, models and instruments, Cham: Springer, 2017 (Methodology of educational measurement and assessment), S. 389-406
DOI: 10.1007/978-3-319-50030-0_23
Publication Type: 4. Beiträge in Sammelwerken; Sammelband (keine besondere Kategorie)
Language: Englisch
Keywords: Adaptives Testen; Computerunterstütztes Verfahren; Mathematikunterricht; Problemlösen; Kompetenz; Modell; Mathematische Kompetenz; Psychometrie
Abstract: In mathematics education, the student's ability to translate between different representations of functions is regarded as a key competence for mastering situations that can be described by mathematical functions. Students are supposed to interpret common representations like numerical tables (N), function graphs (G), verbally or pictorially represented situations (S), and algebraic expressions (A). In a multi-step project (1) a theoretical competence model was constructed by identifying key processes and key dimensions and corresponding item pools, (2) different psychometric models assuming theory-based concurrent competence structures were tested empirically, and (3) finally, a computerized adaptive assessment tool was developed and applied in school practice. (DIPF/Orig.)
DIPF-Departments: Bildungsqualität und Evaluation