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

George Kinnear; Paola Iannone; Ben Davies

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

George Kinnear, Paola Iannone, Ben Davies

School of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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.

Original language	English
Title of host publication	Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13)
Editors	P Drijvers, C Csapodi, H Palmer, K Gosztonyi, E Konya
Publisher	HAL
Pages	2399-2406
Number of pages	8
Publication status	Published - 19 Jan 2024
Event	Thirteenth Congress of the European Society for Research in Mathematics Education - Budapest, Hungary Duration: 10 Jul 2023 → 14 Jul 2023 https://cerme13.renyi.hu/

Conference

Conference	Thirteenth Congress of the European Society for Research in Mathematics Education
Abbreviated title	CERME13
Country/Territory	Hungary
City	Budapest
Period	10/07/23 → 14/07/23
Internet address	https://cerme13.renyi.hu/

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Kinnear, G., Iannone, P., & Davies, B. (2024). Insights about functions from example-generation tasks: combining e-assessment and written responses. In P. Drijvers, C. Csapodi, H. Palmer, K. Gosztonyi, & E. Konya (Eds.), Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13) (pp. 2399-2406). HAL. https://hal.science/hal-04406716

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title = "Insights about functions from example-generation tasks: combining e-assessment and written responses",

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{\textquoteright} (mis)understanding of function concepts, which are supported with observations from the task-based interviews.",

author = "George Kinnear and Paola Iannone and Ben Davies",

year = "2024",

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editor = "P Drijvers and C Csapodi and H Palmer and K Gosztonyi and E Konya",

booktitle = "Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13)",

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Kinnear, G , Iannone, P & Davies, B 2024, Insights about functions from example-generation tasks: combining e-assessment and written responses. in P Drijvers, C Csapodi, H Palmer, K Gosztonyi & E Konya (eds), Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13). HAL, pp. 2399-2406, Thirteenth Congress of the European Society for Research in Mathematics Education, Budapest, Hungary, 10/07/23. <https://hal.science/hal-04406716>

Insights about functions from example-generation tasks: combining e-assessment and written responses. / Kinnear, George ; Iannone, Paola; Davies, Ben.
Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13). ed. / P Drijvers; C Csapodi; H Palmer; K Gosztonyi; E Konya. HAL, 2024. p. 2399-2406.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Insights about functions from example-generation tasks: combining e-assessment and written responses

AU - Kinnear, George

AU - Iannone, Paola

AU - Davies, Ben

PY - 2024/1/19

Y1 - 2024/1/19

N2 - 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.

AB - 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.

M3 - Conference contribution

SP - 2399

EP - 2406

BT - Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13)

A2 - Drijvers, P

A2 - Csapodi, C

A2 - Palmer, H

A2 - Gosztonyi, K

A2 - Konya, E

PB - HAL

T2 - Thirteenth Congress of the European Society for Research in Mathematics Education

Y2 - 10 July 2023 through 14 July 2023

ER -

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

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