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Combining Exploratory Learning With Structured Practice to Foster Conceptual and Procedural Fractions Knowledge

Rummel, Nikol; Mavrikis, Manolis; Wiedmann, Michael; Loibl, Katharina; Mazziotti, Claudia; Holmes, Wayne and Hansen, Alice (2016). Combining Exploratory Learning With Structured Practice to Foster Conceptual and Procedural Fractions Knowledge. In: Transforming Learning, Empowering Learners: 2016 Conference Proceedings Volume I (Looi, Chee-Kit; Polman, Joseph; Cress, Ulrike and Reimann, Peter eds.), International Conference of the Learning Sciences, International Society of the Learning Sciences (ISLS), Singapore, pp. 58–65.

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Robust domain knowledge consists of conceptual and procedural knowledge. The two types of knowledge develop together, but are fostered by different learning tasks. Exploratory tasks enable students to manipulate representations and discover the underlying concepts. Structured tasks let students practice problem-solving procedures step-by-step. Educational technology has mostly relied on providing only either task type, with a majority of learning environments focusing on structured tasks. We investigated in two quasi-experimental studies with 8-10 years old students from UK (N = 121) and 10-12 years old students from Germany (N = 151) whether a combination of both task types fosters robust knowledge more than structured tasks alone. Results confirmed this hypothesis and indicate that students learning with a combination of tasks gained more conceptual knowledge and equal procedural knowledge compared to students learning with structured tasks only. The results illustrate the efficacy of combining both task types for fostering robust fractions knowledge.

Item Type: Conference or Workshop Item
Copyright Holders: 2016 International Society of the Learning Sciences
ISBN: 0-9903550-9-8, 978-0-9903550-9-0
ISSN: 1814-9316
Extra Information: Presented at Transforming Learning, Empowering Learners: 12th International Conference of the Learning Science; Singapore National Institute of Education, Nanyang Technological University, Singapore; 20-24 Jun 2016.
Keywords: conceptual knowledge; procedural knowledge; exploratory learning environments; intelligent tutoring systems; mathematics education
Academic Unit/School: Faculty of Wellbeing, Education and Language Studies (WELS)
Item ID: 53007
Depositing User: Alan Stiles
Date Deposited: 31 Jan 2018 14:49
Last Modified: 11 Jun 2019 12:01
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