Generalization strategies in finding the nth term rule for simple quadratic sequences

Biza, Irene ORCID:, Hewitt, Dave, Watson, Anne and Mason, John (2020) Generalization strategies in finding the nth term rule for simple quadratic sequences. International Journal of Science and Mathematics Education, 18 (6). 1105–1126. ISSN 1571-0068

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In this study, we identify ways in which a sample of 18 graduates with mathematics-related first degrees found the nth term for quadratic sequences from the first values of a sequence of data, presented on a computer screen in various formats: tabular, scattered data pairs and sequential. Participants’ approaches to identifying the nth term were recorded with eye-tracking technology. Our aims are to identify their strategies and to explore whether and how format influences these strategies. Qualitative analysis of eye-tracking data offers several strategies: Sequence of Differences, Building a Relationship, Known Formula, Linear Recursive and Initial Conjecture. Sequence of Differences was the most common strategy, but Building a Relationship was more likely to lead to the right formula. Building from Square and Factor Search were the most successful methods of Building a Relationship. Findings about the influence of format on the range of strategies were inconclusive but analysis indicated sporadic evidence of possible influences.

Item Type: Article
Uncontrolled Keywords: eye-tracking,generalization,quadratic functions,sequences,education,mathematics(all) ,/dk/atira/pure/subjectarea/asjc/3300/3304
Faculty \ School: Faculty of Social Sciences > School of Education and Lifelong Learning
UEA Research Groups: Faculty of Social Sciences > Research Groups > Research in Mathematics Education
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Depositing User: LivePure Connector
Date Deposited: 22 Aug 2019 10:30
Last Modified: 22 Oct 2022 05:09
DOI: 10.1007/s10763-019-10009-0

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