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Introducing direction fields to students learning ordinary differential equations (ODEs) through guided inquiry

Hyland, Diarmaid orcid logoORCID: 0000-0003-3787-5153, van Kampen, Paul and Nolan, Brien C. orcid logoORCID: 0000-0002-9356-6833 (2019) Introducing direction fields to students learning ordinary differential equations (ODEs) through guided inquiry. International Journal of Mathematical Education in Science and Technology, 52 (3). pp. 331-348. ISSN 0020-739X

Abstract
This paper reports on an intervention as part of which direction fields were introduced to students learning ordinary differential equations (ODEs). The intervention was designed and implemented to address issues with students’ conceptions of the solutions of ODEs. These were identified by a diagnostic survey and through a review of the literature. The intervention comprised fifteen guided inquiry tutorials, one of which introduced students to direction fields in the context of first order ODEs. A combination of interviews and immediate and delayed post-testing was used to measure the impact of the tutorial. The design of the tutorial and the results of the interviews and post-test data are reported. A large majority of the students who completed the tutorial were able to successfully complete tasks linking direction fields to their study of ODEs. A significant improvement was also observed in relation to students’ conceptions of solutions to an ODE.
Metadata
Item Type:Article (Published)
Refereed:Yes
Uncontrolled Keywords:Differential equations; direction fields; solutions to differential equations; guided inquiry
Subjects:Social Sciences > Education
Mathematics
Mathematics > Differential equations
DCU Faculties and Centres:DCU Faculties and Schools > Faculty of Science and Health > School of Mathematical Sciences
DCU Faculties and Schools > Faculty of Science and Health > School of Physical Sciences
Publisher:Taylor & Francis
Official URL:https://dx.doi.org/10.1080/0020739X.2019.1670367
Copyright Information:© 2019 Taylor & Francis
Use License:This item is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 3.0 License. View License
Funders:National Forum for the Enhancement of Teaching and Learning in Ireland [grant number GOIPG/2014/1529].
ID Code:25834
Deposited On:12 May 2021 12:18 by Prof Brien Nolan . Last Modified 03 Nov 2022 12:34
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