Biza2020_Article_GeNeralizatioNStrategiesINFiNd.pdf (1004.43 kB)
Download file

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

Download (1004.43 kB)
journal contribution
posted on 02.09.2019, 09:31 by Irene Biza, Dave HewittDave Hewitt, Anne Watson, John Mason
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.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

International Journal of Science and Mathematics Education

Volume

18

Pages

1105 - 1126

Publisher

Springer

Version

VoR (Version of Record)

Rights holder

© The Authors

Publisher statement

This is an Open Access Article. It is published by Springer under the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/

Acceptance date

04/08/2019

Publication date

2019-08-17

Copyright date

2019

ISSN

1571-0068

eISSN

1573-1774

Language

en

Depositor

Dr Dave Hewitt

Usage metrics

Categories

Licence

Exports