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Biza, Irene 
ORCID: https://orcid.org/0000-0003-1727-3884, 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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Abstract
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 |
| Related URLs: | |
| Depositing User: | LivePure Connector |
| Date Deposited: | 22 Aug 2019 10:30 |
| Last Modified: | 22 Oct 2022 05:09 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/72032 |
| DOI: | 10.1007/s10763-019-10009-0 |
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