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Comparing Example Generation with Classification in the Learning of New Mathematics Concepts

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Title: Comparing Example Generation with Classification in the Learning of New Mathematics Concepts
Language: English
Authors: George Kinnear (ORCID 0000-0003-4191-4258)
Source: Research in Mathematics Education. 2024 26(1):109-132.
Availability: Routledge. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Peer Reviewed: Y
Page Count: 24
Publication Date: 2024
Document Type: Journal Articles
Reports - Research
Education Level: Higher Education
Postsecondary Education
Descriptors: Comparative Analysis, Classification, Task Analysis, Mathematics Instruction, Mathematical Concepts, Concept Formation, Correlation, Online Courses, Introductory Courses, Undergraduate Students, Instructional Effectiveness
DOI: 10.1080/14794802.2022.2152086
ISSN: 1479-4802
1754-0178
Abstract: Prompting learners to generate examples has been proposed as an effective way of developing understanding of a new concept. However, empirical support for this approach is lacking. This article presents two empirical studies on the use of example-generation tasks in an online course in introductory university mathematics. The first study compares the effectiveness of a task prompting learners to generate examples of increasing and decreasing sequences, with a task inviting them to classify given examples; it also investigates the effectiveness of different sequences of generation and classification tasks. The second study replicates the investigation of interactions between generation and classification tasks. The findings suggest that there is little difference between the two types of task, in terms of students' ability to answer later questions about the concept.
Abstractor: As Provided
Entry Date: 2024
Accession Number: EJ1421827
Database: ERIC
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  Data: Comparing Example Generation with Classification in the Learning of New Mathematics Concepts
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  Data: Routledge. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
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  Data: Prompting learners to generate examples has been proposed as an effective way of developing understanding of a new concept. However, empirical support for this approach is lacking. This article presents two empirical studies on the use of example-generation tasks in an online course in introductory university mathematics. The first study compares the effectiveness of a task prompting learners to generate examples of increasing and decreasing sequences, with a task inviting them to classify given examples; it also investigates the effectiveness of different sequences of generation and classification tasks. The second study replicates the investigation of interactions between generation and classification tasks. The findings suggest that there is little difference between the two types of task, in terms of students' ability to answer later questions about the concept.
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