Dialogical interactions mediated by technology in mathematics education

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Giovannina Albano
Monica Mollo
Maria Polo
Giuseppina Marsico


This paper discusses the results of a research[1] that integrates Digital Interactive Storytelling (DIST), competence-oriented mathematical activities, and argumentation called DIST-M. The general aim is to support a reflective knowledge of mathematical concepts by implementing a digital educational device based on collaborative and dialogical activities proposed by researchers. Within a dialogical dimension of interactions (Bakhtin, 1981), argumentative practice is considered a social activity, where the acquisition and elaboration of new knowledge take place within a social space with multiple interlocutors in a dynamic process. The participants are engaged in constructing and negotiating mathematical meanings within a specific context. This dialogical approach to argumentation tends to create an authentic argumentative culture that is a system of implicit and explicit rules where the exchanges and interactions among participants require a joint elaboration of new meanings, within a given mathematical context, through a dialogical exchange. Learning and development result from a dialogical negotiation process during which new knowledge is developed and those already possessed are re-organized and systematized (Bakhtin, 1981; Vygotskij, 1978). In the current pandemic circumstances, technologies are the main tools to uphold the educational processes. Despite the fact that the DIST-M was implemented and tested before the Covid-19 era, its epistemic bases of dialogism mediated by technology could significantly keep alive the dialogic interaction in educational settings that have been heavily affected by the social distancing and promote mathematical thinking. The articles focus on the United Nations Sustainable Development Goal n. 4,” Ensure inclusive and equitable quality education and promote lifelong learning opportunities for all.”


[1] The research is funded by the Italian Ministry of Education, University and Research under the National Project “Digital Interactive Storytelling in Mathematics: a competence-based social approach”, PRIN 2015, Prot. 20155NPRA5.

Article Details

How to Cite
Albano, G., Mollo, M., Polo, M., & Marsico, G. (2022). Dialogical interactions mediated by technology in mathematics education. Dialogic Pedagogy: A Journal for Studies of Dialogic Education, 10, DT22 - DT40. https://doi.org/10.5195/dpj.2022.517
Special Issue: Digital technologies supporting dialogical education


Albano, G. (2017). E-mathematics engineering for effective learning. In G. Aldon, F. Hitt, L. Bazzini, & U. Gellert (Eds.), Mathematics and Technology (pp. 349–370). Advances in Mathematics Education. Springer.

Albano, G., Coppola, C., Dello Iacono, U. (2021). What Does ‘Inside Out’ Mean in Problem Solving? For the Learning of Mathematics 41(2), 32-36.

Albano, G., Coppola, C., Fiorentino, G. (2021). The Role of Teacher in DIST-M Activities. International Journal for Technology in Mathematics Education (to appear).

Albano, G., Coppola, C., Dello Iacono, U., Fiorentino, G., Pierri, A., & Polo, M. (2020). Technology to enable new paradigms of teaching/learning in mathematics: the digital interactive storytelling case. Journal of e-Learning and Knowledge Society, Special Issue on “Smart Learning in Smart Cities”, Vol 16 No 1, pp. 65-71

Albano, G., Dello Iacono, U. (2019). A scaffolding toolkit to foster argumentation and proofs in mathematics: some case studies. International Journal of Educational Technology in Higher Education, 16:4 (pp. 1-12)

Albano, G., Pierri, A., Polo, M. (2019). Engagement in mathematics through digital interactive storytelling. In U.T. Jankvist, M. Van den Heuvel-Panhuizen, & M. Veldhuis (Eds.): Proc. of CERME 11 Utrecht, the Netherlands: Freudenthal Group & Freudenthal Institute, Utrecht University and ERME, pp. 1501-1508.

Arcidiacono, F. (2015). Argumentation and reflexivity. In G. Marsico, R. Andrisano-Ruggieri & S. Salvatore (Eds.), Reflexivity and Psychology (pp. 169-193). Information Age Publishing.

Antonini, S. & Mariotti, M.A. (2008). Indirect proof: what is specic to this way of proving? ZDM Mathematics Education, 40(3), 401-412.

Asterhan, C. S. C., & Schwarz, B. B. (2009). Argumentation and Explanation in Conceptual Change: Indications from Protocol Analyses of Peer-to-Peer Dialog. Cognitive Science, 33, 374–400.

Austin, John L. (1961). Philosophical Papers. Oxford University Press

Austin, John L. (1962). How to do things with words. Oxford University Press.

Arcidiacono, F. (2015). Argumentation and reflexivity. In G. Marsico, R. Andrisano-Ruggieri & S. Salvatore (Eds.), Reflexivity and Psychology (pp. 169-193). Information Age Publishing.

Asterhan, C. S. C., & Schwarz, B. B. (2009). Argumentation and Explanation in Conceptual Change: Indications from Protocol Analyses of Peer-to-Peer Dialog. Cognitive Science, 33, 374–400.

Bartolini Bussi M. G., Boni M., & Ferri F. (1995). Interazione sociale e conoscenza a scuola: la Discussione Matematica. Centro documentazione educativa.

Bartolini-Bussi, M. G., & Mariotti, M. A. (2008). Semiotic mediation in the mathematics classroom: Artifacts and signs after a Vygotskian perspective. In L. English, M. G. Bartolini-Bussi, G. Jones, R. Lesh, & D. Tirosh (Eds.), Handbook of International Research in Mathematics Education (2nd ed.) (pp. 746–783). Lawrence Erlbaum.

Bakhtin, M. M. (1981). The dialogical imagination: four essays by M. M. Bakhtin. University of Texas Press.

Boero P. (1999). Argumentation and mathematical proof: a complex, productive, unavoidable relationship in mathematic and mathematics education. International Newsletter on the Teaching and Learning of Mathematical Proof, 7/8.

Boero, P., Douek, N., Morselli, F., Pedemonte, B. (2011). Argumentation and proof: A contribution to theoretical perspectives and their classroom implementation. In: M. F. F. Pinto, T.F. Kawasaki (Eds.), Proceedings of the 34th Conference of the International Group for the Psychology of Mathematics Education (pp. 179-205). Belo Horizonte: Exact Sciences Institute

Coppola, C., Mollo, M., Pacelli, T. (2015). The development of logical tools through socially constructed and culturally situated activities. In M.V. Dazzani, M. Ristum, G. Marsico, & A.C. Bastos (Eds), Educational Contexts and Borders through a Cultural Lens. Looking Inside, Viewing Outside. Springer. ISSN 2364-6780 – DOI 10.1007/978-3-319-18765-5

Coppola C., Mollo M., Pacelli T. (2011). An experience of social rising of logical tools: the role of language. International Journal for Mathematics Teaching and Learning, ISSN 1473 – 0111.

Coppola, C., Mollo, M., Pacelli, T. (2015). The Development of Logical Tools Through Socially Constructed and Culturally Based Activities. In: Marsico, G., Dazzani, V., Ristum, M., de Souza Bastos, A. (eds). Educational Contexts and Borders through a Cultural Lens. Cultural Psychology of Education, vol 1. Springer.

Coppola, C., Mollo, M., Pacelli, T. (2019). The worlds' game: collective language manipulation as a space to develop logical abilities in a primary school classroom. European Journal of Psychology of Education. Vol. 34, Issue 4, October 2019. DOI: 10.1007/s10212-018-0401-1.

Ferrari, P.L. (2002). Developing language through communication and conversion of semiotic systems. In A.D. Cockburn & E. Nardi (Eds.), Proc. of the 26th Conf. of the Intern. Group for the Psychology of Math. Ed. Norwich (UK), 2, 353-360.

Friedrich, J. (2012). L'idée d'instrument psychologique chez Vygotski. Rivista italiana di filosofia del linguaggio, 6(2), 189-201.

Grice, P. (1957), “Meaning”, The Philosophical Review 66, pp. 377-388, ora in P. Grice (1989), pp. 213-223.

Grice, P. (1975). Logic and conversation. in P. Cole e J.L. Morgan (a cura di) Syntax and Semantics - Speech Acts, Academic Press, tr. it. in SBISA', M. (a cura di) 1978, ora in P. Grice (1989), pp. 22-40.

Grize, J.-B. (1982). De la logique à l’argumentation. Dolz.

Grize, J.-B., & Piéraut-Le Bonniec, G. (1983). La contradiction: essai sur le opérations de la pensée. Presse Universitaires de France.

Iannaccone, A., Convertini, J., & Perret-Clermont, A.-N. (2016). “Je te raconte une histoire pour t'aider à comprendre”. Pluralité de perspectives conversationnelles et actualisation des pratiques argumentatives chez l’enfant. Congress SSRE 2016 “Où s’arrête l’école? Transformations et déplacements des frontières éducatives”. Lausanne, July 2016.

Iannaccone, A., & Perret-Clermont, A.-N. (2014). Regole ed eccezioni: a propositio del ruolo delle interazioni sociali nei processi di apprendimento e nello sviluppo cognitivo. In A. Smorti (Ed.), L'eccezione e la regola: opposizioni, convergenze, paradossi (pp. 97-122). SEID.

Iannaccone, A., & Zittoun, T. (2014). Overview: The activity of thinking on social spaces. In T. Zittoun & A. Iannaccone (Eds.), Activities of Thinking in Social Spaces (pp. 1-12). Nova Science Publishers.

Inhelder, B., Sinclair, H., & Bovet, M. (1974). Apprentissage et structures de la connaissance. Presses Universitaires de France.

Leitao, S. (2000). The potential of argument in knowledge building. Human Development, 43, 332-360.

Linell, P. (2009). Rethinking Language, Mind, and World Dialogicality. Information Age Publishing.

Manzi, F., Savarese, G., Mollo, M., Iannaccone, A. (2020) Editorial: Sociomateriality in Children with Typical and/or Atypical Development. FRONTIERS IN PSYCHOLOGY. Vol. 11.

Mariotti, M. A. (2006). Proof and proving in mathematics education. In A. Gutiérrez, & P. Boero (Eds.), Handbook of research on the psychology of mathematics education, (pp. 173–204). Sense Publishers

Mariotti, M. A., Durand-Guerrier, V., & Stylianides, G. J. (2018). Argumentation and proof. In T. Dreyfus, M. Artigue, D. Potari, S. Prediger, & K. Ruthven (Eds.), Developing Research in Mathematics Education: Twenty Years of Communication, Cooperation and Collaboration in Europe (1st ed., pp. 75–89). Routledge.

Marsico, G., (2017). Jerome S. Bruner: Manifesto for the Future of Education, Infancia y Aprendizaje, Journal for the Study of Education and Development, 40(4), 754-781, DOI: 10.1080/02103702.2017.1367597;

Marsico, G., (2018). The challenges of the Schooling from Cultural Psychology of Education. Integrative Psychological and Behavioural Sciences. 52(3),474-489 DOI: 10.1007/s12124-018-9454-6;

Marsico, G., Mollo, M., Albano, G., Pierri, A. (2019). Digital Storytelling and Mathematical Thinking: An Educational Psychology Embrace. International Journal of Innovation in Science and Mathematics Education, 27(6), 36-44.

Marsico, G., Dazzani, V., Ristum, M. & Bastos A.C. (Eds). (2015). Educational contexts and borders through a cultural lens – Looking inside. Viewing outside. Cultural Psychology of Education, 1, Springer;

Mellone, M., Tortora, R. (2015). Ambiguity as a cognitive and didactic resource. In Krainer K., Vondrová N. (Eds.), Proc. of CERME 9, Praga, pp. 1434-1439.

Mollo, M. (2018). Il potere intrinseco dell’argomentazione nei processi di apprendimento. In P.Maturi, F. Piro, L.M. Sicca, M. Squillante, M. Striano (Eds.), Sfide didattiche. Il pensiero critico nella scuola e nell’università. Editoriale Scientifica.

Mollo, M. (2021). Academic Cultures: Psychology of Education Perspective. Hu Arenas (2021). https://doi.org/10.1007/s42087-021-00238

Muller Mirza, N. (2012). Interactions sociales et dispositifs de formation: Une perspective psychosociale. In V. Rivière (Ed.), Spécificités et diversités des interactions didactiques (pp. 67-90). Riveneuve.

Muller Mirza N., & Buty, C. (2015). L’argumentation dans les contexte de l’éducation: enjeux et questions vives. In N. Muller-Mirza & C. Buty (Eds.), L’argumentation dans les contextes de l’éducation. Lang.

Muller Mirza, N., & Perret-Clermont, A.-N. (Eds.) (2009) Argumentation and education: Theoretical foundations and practices. Springer.

Niss, M. (2015). Mathematical competencies and PISA. In K. Stacey & R. Turner (Eds.), Assessing mathematical literacy, pp. 35–56. Springer.

Nonnon, E. (2015). Préface. In N. Muller Mirza & C. Buty (Eds.), L’argumentation dans les contextes de l’éducation. Lang.

Perret-Clermont, A.-N. (2004). The thinking spaces of the young. In A.-N. Perret-Clermont, C. Pontecorvo, L. Resnick, T. Zittoun & B. Burge (Eds.), Joining Society: Social Interactions and Learning in Adolescence and Youth (pp. 310). Cambridge University Press.

Perret-Clermont, A.-N. (2015). The architecture of social relationships and thinking spaces for growth. In C. Psaltis, A. Gillespie & A.-N. Perret-Clermont (Eds.), Social Relations in Human and Societal Development (pp. 51-70). Palgrave Macmillan.

Perret-Clermont, A.-N., Perret, J.-F., & Bell, N. (1991). The social construction of meaning. In L. B. Resnick, J.-M. Levine & S. D. Teasley (Eds.), Perspectives on socially shared cognition. American Psychological Association.

Polo M, (2017). The Professional Development of Mathematics Teachers: Generality and Specificity. In G. Aldon, F. Hitt, L. Bazzini, U. Gellert (eds.), Mathematics and Technology, Advances in Mathematics Education, DOI, © Springer International Publishing, pp. 495-521.

Rigotti E., Greco S. (2010) Comparing the Argumentum Model of Topics to Other Contemporary Approaches to Argument Schemes: The Procedural and Material Components, Argumentation 24(4): 489-512

Robin, B. (2008). The effective uses of digital storytelling as a teaching and learning tool. Handbook of Research on Teaching Literacy through the Communicative and Visual Arts, Vol. 2, (pp. 429-440). Lawrence Erlbaum Associates.

Schubauer-Leoni, M. L. (1986). Maître-élève-savoir: analyse psychosociale du jeu et des enjeux de la relation didactique. Ph.D. Thesis, Faculty of Psychology and Educational Sciences, University of Geneva.

Searle, John R. (1973), “Austin on locutionary and illocutionary acts”, in I. Berlin et al. (1973), pp. 141-59.

Savarese, G., Iannaccone, A., Mollo, M., Pecoraro, N., Fasano, O., Carpinelli L. (2019). Academic Performance-related Stress Levels and Reflective Awareness: The Role of the Elicitation Approaching an Italian University’s Psychological Counselling. British Journal of Guidance and Counselling. Vol. 47. Pag.1-10 ISSN:0306-9885.

Searle, John R. (1975a), “A taxonomy of illocutionary acts”, in K. Gunderson (a cura di), Language, Mind and Knowledge, Minneapolis, University of Minnesota Press, ora in J.R.

Searle (1979), tr. it. in M. Sbisà (a cura di) (1978), pp. 168-198.

Searle, John R. (1975b), “Indirect speech acts”, in P. Cole e J. L. Morgan (a cura di), Syntax and Semantics III: Speech Acts, New York, Academic Press, ora in J.R. Searle (1979), tr. it. in M. Sbisà (a cura di) (1978), pp. 252-280.

Sfard, A. (2001). Learning mathematics as developing a discourse. In Proceedings of 21st Conference of PME-NA (pp. 23-44). Columbus, OH: Clearing House for Science, mathematics, and Environmental Education.

Sfard, A. (2008). Thinking as communicating: Human development, the growth of discourses, and mathematizing. New York: Cambridge University Press

Sfard, A. (2011). There is more to discourse than meets the ears: looking at thinking as communicating to learn more about mathematical learning. Educational Studies in Mathematics, 46, 13-57.

Szulevicz T., May Eckerdal R., Marsico G., Valsiner, J. (2016). When disruptive behaviour meets outcome-based education. Psihologija. Vol. 49(4), 447–468, DOI: 10.2298/PSI1604447S;

Traverso, V. (1990). L’analyse des conversations. Nathan.

van Eemeren, F.H., & Grootendorst, R. (1984). Speech Acts in argumentative discussions. Foris Publications.

van Eemeren, F.H., & Grootendorst, R. (1992). Argumentation, communication and fallacies. A pragma-dialectical perspective. Lawrence Erlbaum Associates.

van Eemeren, F.H., Grootendorts, R., & Snoeck Henkemans, F. (1996). Fundamentals of argu- mentation theory: A handbook of historical backgrounds and contemporary developments.mLawrence Erlbaum Associates.

Vergnaud, G. (2015). Argumentation et conceptualisation: commentaires. In N. Muller Mirza & C. Buty (Eds.), L’argumentation dans les contextes de l’éducation (pp. XX-XX). Lang.

Vygotsky, L.S. (1930/1978). Mind in society: e development of higher psychological processes. Ed. by M. Cole, V. John-Steiner, S. Scribner, & E. Souberman. Harvard University Press.

Vygotskij, L. (1978). Mind and society: The development of higher psychological processes. Harvard University Press.

Walton D., Krabbe E. (1995). Commitment in Dialogue. Basic concepts of interpersonal reasoning. State University of New York Press.

Wegerif, R. (2013). Dialogic: Education for the Internet Age. Routledge.

Wertsch, J. V. (1998). Mind as action. Oxford University Press

Zan, R. (2012). La dimensione narrativa di un problema: il modello C&D per l'analisi e la (ri)formulazione del testo. Parte I. L’insegnamento della matematica e delle scienze integrate. Vol.35 A N.2 marzo 2012.