Use of conceptual blending to investigate students approaching functions in an emerging embodied technology

Andrea Ghersi; Lara Monformoso; Sara Bagossi; Sonia Palha; Ornella Robutti

Use of conceptual blending to investigate students approaching functions in an emerging embodied technology

Andrea Ghersi
, Lara Monformoso
, Sara Bagossi
, Sonia Palha
, Ornella Robutti

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

Abstract

When emerging technologies meet embodied activities, new mathematical learning opportunities arise together with new questions about underlying conceptualization processes. In this paper, we present the results of a study involving secondary school students developed upon the use of an emerging embodied technology, GeoGebra plus. To analyse the students' cognitive processes, we used conceptual blending (Fauconnier & Turner) and we built a model to describe the complexity of integrating embodiment, a new technology and mathematics. In this paper we show that GeoGebra plus can support the object-oriented and dynamic view of functions. Moreover, we suggest that such technologies are the engine to move from the paradigm of 'humans-with-media', introduced by Borba and Villarreal, towards a 'humans-in-media' one.

Original language	English
Title of host publication	Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)
Editors	Marianna Bosch Casabò, Susana Carreira, Giorgio Bolondi, Michael Gaidoschick, Camilla Spagnolo
Place of Publication	Bozen-Bolzano
Publisher	Free University of Bozen-Bolzano
Number of pages	8
ISBN (Print)	9791221086553
Publication status	Published - 2025
Event	CERME 14: 14th Congress of the European Society for Research in Mathematics Education - Faculty of Engineering of the Free University of Bozen-Bolzano, Bolzano, Italy Duration: 4 Feb 2025 → 8 Feb 2025 https://www.cerme14.it/scientific-program/

Conference

Conference	CERME 14
Country/Territory	Italy
City	Bolzano
Period	4/02/25 → 8/02/25
Internet address	https://www.cerme14.it/scientific-program/

Funding

This study is funded by the HORIZON-WIDERA project of the European Research Executive Agency (REA) named ‘TransEET’ (Transforming Education with Emerging Technologies - Project No. 101078875). The EU’s support for the production of this contribution does not constitute an endorsement of the content, which reflects the views only of the authors.

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Ghersi, A., Monformoso, L., Bagossi, S., Palha, S., & Robutti, O. (2025). Use of conceptual blending to investigate students approaching functions in an emerging embodied technology. In M. Bosch Casabò, S. Carreira, G. Bolondi, M. Gaidoschick, & C. Spagnolo (Eds.), Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14) Free University of Bozen-Bolzano. https://hal.science/CERME14/hal-05307171v1

Ghersi, Andrea ; Monformoso, Lara ; Bagossi, Sara et al. / Use of conceptual blending to investigate students approaching functions in an emerging embodied technology. Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14). editor / Marianna Bosch Casabò ; Susana Carreira ; Giorgio Bolondi ; Michael Gaidoschick ; Camilla Spagnolo. Bozen-Bolzano : Free University of Bozen-Bolzano, 2025.

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title = "Use of conceptual blending to investigate students approaching functions in an emerging embodied technology",

abstract = "When emerging technologies meet embodied activities, new mathematical learning opportunities arise together with new questions about underlying conceptualization processes. In this paper, we present the results of a study involving secondary school students developed upon the use of an emerging embodied technology, GeoGebra plus. To analyse the students' cognitive processes, we used conceptual blending (Fauconnier \& Turner) and we built a model to describe the complexity of integrating embodiment, a new technology and mathematics. In this paper we show that GeoGebra plus can support the object-oriented and dynamic view of functions. Moreover, we suggest that such technologies are the engine to move from the paradigm of 'humans-with-media', introduced by Borba and Villarreal, towards a 'humans-in-media' one.",

keywords = "secondary education, function, GeoGebra plus, emerging embodied technology, Conceptual blending",

author = "Andrea Ghersi and Lara Monformoso and Sara Bagossi and Sonia Palha and Ornella Robutti",

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booktitle = "Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)",

publisher = "Free University of Bozen-Bolzano",

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Ghersi, A, Monformoso, L, Bagossi, S, Palha, S & Robutti, O 2025, Use of conceptual blending to investigate students approaching functions in an emerging embodied technology. in M Bosch Casabò, S Carreira, G Bolondi, M Gaidoschick & C Spagnolo (eds), Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14). Free University of Bozen-Bolzano, Bozen-Bolzano, CERME 14, Bolzano, Italy, 4/02/25. <https://hal.science/CERME14/hal-05307171v1>

Use of conceptual blending to investigate students approaching functions in an emerging embodied technology. / Ghersi, Andrea; Monformoso, Lara; Bagossi, Sara et al.
Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14). ed. / Marianna Bosch Casabò; Susana Carreira; Giorgio Bolondi; Michael Gaidoschick; Camilla Spagnolo. Bozen-Bolzano: Free University of Bozen-Bolzano, 2025.

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

TY - CHAP

T1 - Use of conceptual blending to investigate students approaching functions in an emerging embodied technology

AU - Ghersi, Andrea

AU - Monformoso, Lara

AU - Bagossi, Sara

AU - Palha, Sonia

AU - Robutti, Ornella

PY - 2025

Y1 - 2025

N2 - When emerging technologies meet embodied activities, new mathematical learning opportunities arise together with new questions about underlying conceptualization processes. In this paper, we present the results of a study involving secondary school students developed upon the use of an emerging embodied technology, GeoGebra plus. To analyse the students' cognitive processes, we used conceptual blending (Fauconnier & Turner) and we built a model to describe the complexity of integrating embodiment, a new technology and mathematics. In this paper we show that GeoGebra plus can support the object-oriented and dynamic view of functions. Moreover, we suggest that such technologies are the engine to move from the paradigm of 'humans-with-media', introduced by Borba and Villarreal, towards a 'humans-in-media' one.

AB - When emerging technologies meet embodied activities, new mathematical learning opportunities arise together with new questions about underlying conceptualization processes. In this paper, we present the results of a study involving secondary school students developed upon the use of an emerging embodied technology, GeoGebra plus. To analyse the students' cognitive processes, we used conceptual blending (Fauconnier & Turner) and we built a model to describe the complexity of integrating embodiment, a new technology and mathematics. In this paper we show that GeoGebra plus can support the object-oriented and dynamic view of functions. Moreover, we suggest that such technologies are the engine to move from the paradigm of 'humans-with-media', introduced by Borba and Villarreal, towards a 'humans-in-media' one.

KW - secondary education

KW - function

KW - GeoGebra plus

KW - emerging embodied technology

KW - Conceptual blending

UR - https://www.cerme14.it/proceedings/

M3 - Chapter

SN - 9791221086553

BT - Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)

A2 - Bosch Casabò, Marianna

A2 - Carreira, Susana

A2 - Bolondi, Giorgio

A2 - Gaidoschick, Michael

A2 - Spagnolo, Camilla

PB - Free University of Bozen-Bolzano

CY - Bozen-Bolzano

T2 - CERME 14

Y2 - 4 February 2025 through 8 February 2025

ER -

Ghersi A, Monformoso L, Bagossi S, Palha S, Robutti O. Use of conceptual blending to investigate students approaching functions in an emerging embodied technology. In Bosch Casabò M, Carreira S, Bolondi G, Gaidoschick M, Spagnolo C, editors, Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14). Bozen-Bolzano: Free University of Bozen-Bolzano. 2025

Use of conceptual blending to investigate students approaching functions in an emerging embodied technology

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