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Predicting adaptive expertise with rational number arithmetic
Authors:Jake McMullen  Minna M Hannula-Sormunen  Erno Lehtinen  Robert S Siegler
Institution:1. Department of Teacher Education, University of Turku, Finland;2. Department of Teacher Education, University of Turku, Finland

Contribution: Conceptualization (equal), Methodology (equal), Writing - review & editing (equal);3. Department of Teacher Education, University of Turku, Finland

Vytautas Magnus University, Kaunas, Lithuania

Contribution: Conceptualization (equal), Methodology (equal), Writing - review & editing (equal);4. Teacher’s College, Columbia University, New York City, New York, USA

The Siegler Center for Innovative Learning (SCIL), Advanced Technology Center, Beijing Normal University, China

Contribution: Conceptualization (equal), Methodology (equal), Writing - review & editing (equal)

Abstract:
Keywords:adaptive expertise  flexibility  mathematical development  rational numbers  spontaneous mathematical focusing tendency
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