Undergraduate students’ second-order covariational reasoning when conceptualizing paraboloids supported by digital tools

Sara Bagossi; Roberto Capone; Federica Mennuni

Undergraduate students’ second-order covariational reasoning when conceptualizing paraboloids supported by digital tools

Sara Bagossi, Roberto Capone, Federica Mennuni

Program of Science & Technology Education

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

Abstract

In this paper, we aim to investigate undergraduate students’ second-order covariational reasoning. For this purpose, we designed a teaching sequence concerning the characterization of paraboloids and involving the use of two combined digital tools, GeoGebra AR and GeoGebra 3D, to help students develop covariational reasoning. The teaching sequence was experimented with 30 undergraduate students in mathematics. The research data were collected over two collective discussions and consisted of audio and video recordings. The data analysis was based on a descriptive coding of the emerging forms of covariational reasoning. Findings revealed that the adopted digital tools supported students’ covariational reasoning when conceptualizing paraboloids.

Original language	English
Title of host publication	Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, 2023
Editors	Michal Ayalon, Boris Koichu, Roza Leikin, Laurie Rubel, Michal Tabach
Publisher	Psychology of Mathematics Education (PME)
Pages	67-74
Number of pages	8
ISBN (Print)	9789659311224
State	Published - 1 Jan 2023
Event	46th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2023 - Haifa, Israel Duration: 16 Jul 2022 → 21 Jul 2022

Publication series

Name	Proceedings of the International Group for the Psychology of Mathematics Education
Volume	2
ISSN (Print)	0771-100X
ISSN (Electronic)	2790-3648

Conference

Conference	46th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2023
Country/Territory	Israel
City	Haifa
Period	16/07/22 → 21/07/22

ASJC Scopus subject areas

Mathematics (miscellaneous)
Developmental and Educational Psychology
Experimental and Cognitive Psychology
Education

Cite this

Bagossi, S., Capone, R., & Mennuni, F. (2023). Undergraduate students’ second-order covariational reasoning when conceptualizing paraboloids supported by digital tools. In M. Ayalon, B. Koichu, R. Leikin, L. Rubel, & M. Tabach (Eds.), Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, 2023 (pp. 67-74). (Proceedings of the International Group for the Psychology of Mathematics Education; Vol. 2). Psychology of Mathematics Education (PME).

Bagossi, Sara ; Capone, Roberto ; Mennuni, Federica. / Undergraduate students’ second-order covariational reasoning when conceptualizing paraboloids supported by digital tools. Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, 2023. editor / Michal Ayalon ; Boris Koichu ; Roza Leikin ; Laurie Rubel ; Michal Tabach. Psychology of Mathematics Education (PME), 2023. pp. 67-74 (Proceedings of the International Group for the Psychology of Mathematics Education).

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title = "Undergraduate students{\textquoteright} second-order covariational reasoning when conceptualizing paraboloids supported by digital tools",

abstract = "In this paper, we aim to investigate undergraduate students{\textquoteright} second-order covariational reasoning. For this purpose, we designed a teaching sequence concerning the characterization of paraboloids and involving the use of two combined digital tools, GeoGebra AR and GeoGebra 3D, to help students develop covariational reasoning. The teaching sequence was experimented with 30 undergraduate students in mathematics. The research data were collected over two collective discussions and consisted of audio and video recordings. The data analysis was based on a descriptive coding of the emerging forms of covariational reasoning. Findings revealed that the adopted digital tools supported students{\textquoteright} covariational reasoning when conceptualizing paraboloids.",

author = "Sara Bagossi and Roberto Capone and Federica Mennuni",

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Bagossi, S, Capone, R & Mennuni, F 2023, Undergraduate students’ second-order covariational reasoning when conceptualizing paraboloids supported by digital tools. in M Ayalon, B Koichu, R Leikin, L Rubel & M Tabach (eds), Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, 2023. Proceedings of the International Group for the Psychology of Mathematics Education, vol. 2, Psychology of Mathematics Education (PME), pp. 67-74, 46th Annual Conference of the International Group for the Psychology of Mathematics Education, PME 2023, Haifa, Israel, 16/07/22.

Undergraduate students’ second-order covariational reasoning when conceptualizing paraboloids supported by digital tools. / Bagossi, Sara; Capone, Roberto; Mennuni, Federica.
Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, 2023. ed. / Michal Ayalon; Boris Koichu; Roza Leikin; Laurie Rubel; Michal Tabach. Psychology of Mathematics Education (PME), 2023. p. 67-74 (Proceedings of the International Group for the Psychology of Mathematics Education; Vol. 2).

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

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Bagossi S, Capone R, Mennuni F. Undergraduate students’ second-order covariational reasoning when conceptualizing paraboloids supported by digital tools. In Ayalon M, Koichu B, Leikin R, Rubel L, Tabach M, editors, Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, 2023. Psychology of Mathematics Education (PME). 2023. p. 67-74. (Proceedings of the International Group for the Psychology of Mathematics Education).

Undergraduate students’ second-order covariational reasoning when conceptualizing paraboloids supported by digital tools

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