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Insights about functions from example-generation tasks: combining e-assessment and written responses

Insights about functions from example-generation tasks: combining e-assessment and written responses
Insights about functions from example-generation tasks: combining e-assessment and written responses
In this paper we report on student responses to a sequence of tasks that ask for examples of function graphs with various properties. We gathered large samples of student responses to both an e-assessment (N=322) and written (N=332) version of the tasks, and conducted task-based interviews with a further group of students (N=8 for e-assessment, N=11 for written). In the large samples of responses, we identify common families of correct and incorrect responses. Possible explanations for the incorrect responses offer insights into students’ (mis)understanding of function concepts, which are supported with observations from the task-based interviews.
2399-2406
Kinnear, George
c9735fde-afa7-4a6c-8f5c-a7d68a51e405
Jones, Ian
ede89326-c0a0-456c-adda-91d80c74fb52
Davies, Ben
aa12efcd-c8a4-4abc-9f2a-469afaff2770
Gosztonyi, K
Konya, E
Kinnear, George
c9735fde-afa7-4a6c-8f5c-a7d68a51e405
Jones, Ian
ede89326-c0a0-456c-adda-91d80c74fb52
Davies, Ben
aa12efcd-c8a4-4abc-9f2a-469afaff2770
Gosztonyi, K
Konya, E

Kinnear, George, Jones, Ian and Davies, Ben (2019) Insights about functions from example-generation tasks: combining e-assessment and written responses. Gosztonyi, K and Konya, E (eds.) In Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13). pp. 2399-2406 .

Record type: Conference or Workshop Item (Paper)

Abstract

In this paper we report on student responses to a sequence of tasks that ask for examples of function graphs with various properties. We gathered large samples of student responses to both an e-assessment (N=322) and written (N=332) version of the tasks, and conducted task-based interviews with a further group of students (N=8 for e-assessment, N=11 for written). In the large samples of responses, we identify common families of correct and incorrect responses. Possible explanations for the incorrect responses offer insights into students’ (mis)understanding of function concepts, which are supported with observations from the task-based interviews.

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More information

Published date: 31 January 2019

Identifiers

Local EPrints ID: 493810
URI: http://eprints.soton.ac.uk/id/eprint/493810
PURE UUID: c691241d-c117-4629-ab16-786ce74e256c
ORCID for Ben Davies: ORCID iD orcid.org/0000-0003-1134-7205

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Date deposited: 12 Sep 2024 17:27
Last modified: 13 Sep 2024 02:06

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Contributors

Author: George Kinnear
Author: Ian Jones
Author: Ben Davies ORCID iD
Editor: K Gosztonyi
Editor: E Konya

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