Skip to main content

Advertisement

Log in

Researching online mathematics education: opening a space for virtual learner identities

  • Published:
Educational Studies in Mathematics Aims and scope Submit manuscript

Abstract

This paper is drawn from a doctoral thesis (Rosa, 2008) that examines the relations established between the construction of online identities and the teaching and learning of the definite integral concept in an online learning course. The role-playing game (RPG) is played out through chat and calls for the creation of characters (online identities) by each player. In the research process on online learning in mathematics education, Rosa (2008) discusses the role of the construction of online identities. We characterise how this process, in a general way, draws on qualitative research processes and, in a specific way, is linked to the construction of mathematical knowledge in cyberspace. We discuss who the research subjects are in mathematics education research. The results suggest that: (a) cyberspace is a natural environment in an online RPG context; (b) the playful process in online learning in mathematics education brings important new aspects to our understanding of mathematical knowledge as a social construction; (c) the investigation becomes a game; (d) research subjects are who they want to be while they are in flow, that is, there is intentionality; (e) the challenge of research methodology inside cyberspace must be faced by researchers; and (f) the researcher needs to consider those different identities as integral to the research process.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2

Similar content being viewed by others

Notes

  1. The profile is a character sheet. This is used in RPG to start the construction of a character. In RPG, there are some systems which use specific character sheets. In Rosa (2008), the character sheet was created because the existing systems were not completely adequate for the purposes of the study.

  2. We use the word ‘river’ because the students used that during the course. Although the word ‘dam’ had been shown in the adventure synopsis, this element of the scenario was understood as a river.

  3. TelEduc has free distribution http://www.nied.unicamp.br.

  4. http://www.cnpt.embrapa.br/sist-prod/soja04/; http://www.seprotec.com.br/prod_soja.asp.

  5. Software of architecture and civil engineering. It is available by Pini Engenharia, demo version in http://www.pini.com.br” (Azevedo, 2006; p.2, footnote).

  6. As the objective of the article is not to analyse the language used in the chat, we eliminated all spelling and typing mistakes. However, we kept the way the online identities expressed their thoughts; also recall that the Master was the researcher-teacher.

  7. A non-player character is an online identity conducted by the master of the game whereas the player character (PC) is conducted by a player in RPG.

  8. As was mentioned, the researcher took many identities, among them Gabriela. She was a student just like the others. The researcher used two computers in the data collection; in one computer he was the master of the RPG and in another he conducted this online identity like any other student/participant.

  9. We understand the notion of game as Huizinga (1993, p. 33) who affirms that the game is “[…] a voluntary activity or occupation, which is exerted in a degree of time and space, along freely consenting and absolutely mandatory, with an end in itself, an activity with a sense of tension and joy, and a consciousness of being that is different from that of everyday life”.

References

  • Alves, A. J. (1991). O Planejamento de Pesquisas Qualitativas em Educação [Planning Qualitative Research in Education]. Cadernos de Pesquisas, 77, 53–61.

    Google Scholar 

  • Azevedo, J. L. A. (2006). Trabalhando Conceitos Matemáticos a partir do Uso das Tecnologias Informáticas via Projetos [Working Mathematical Concepts from the Use of Information Technologies through Projects]. In: Anais do X Encontro Brasileiro de Estudantes de Pós-Graduação em Educação Matemática. Conhecimento e Inclusão Social. Belo Horizonte: UFMG; Faculdade de Educação, 1 CD-ROM.

  • Bicudo, M. A. V. (1978). Fundamentos de Orientação Educacional [Fundamentals of Educational Guidance]. São Paulo: Saraiva.

  • Bicudo, M.A.V., Rosa, M. (2007) A Phenomenological Essay on the Cybernetic World: reality and knowledge conceptions In: International Human Science Research Conference: 26. New frontiers of phenomenology, beyond postmodernism in empirical research (CD-ROM). Rovereto: University of Trento.

  • Bogdan, R., & Biklen, S. K. (1996). Investigação Qualitativa em Educação [Qualitative Research for Education]. Porto: Porto Editora.

  • Borba, M. C. (2004). Dimensões da Educação Matemática a distância [Dimensions of Distance Mathematics Education]. In M. V. Bicudo & M. C. Borba (Eds.), Educação Matemática: pesquisa em movimento [Mathematics Education: research in movement] (pp. 296–317). São Paulo: Cortez.

  • Borba, M. C., & Villarreal, M. E. (2005). Humans-with-media and the reorganization of mathematical thinking: information and communication technologies, modeling, visualization, and experimentation. New York: Springer Science.

    Google Scholar 

  • Borba, M. C., Malheiros, A. P. S., & Zulatto, R. A. (2007). Educação a Distância Online [Online Distance Education]. Belo Horizonte: Autêntica.

  • Clareto, S. M. (2005) Etnografias e Pesquisas Interpretativas: crises da modernidade e enfrentamentos de seus impactos [Ethnographies and Interpretive Research: crisis of modernity and its impact clashes]. In: Anais do II Seminário Internacional de Pesquisas e Estudos Qualitativos. Universidade do Sagrado Coração, Sociedade de Estudos e Pesquisa Qualitativos. Available from: http://www.sepq.org.br/livros.htm. Accessed on: September 2006

  • D’Ambrosio, U. (2008) O Programa Etnomatemática: uma síntese [The Ethnomathematics Program: a summary]. Acta Scientiae. Canoas, Vol. 10, n. 1, Jan–Jun. Available from: http://www.ulbra.br/actascientiae/. Accessed on: December 2008

  • Deleuze, G. & Guattari, F. (2005) O que é a filosofia? [What is Philosophy?]. Translated by Bento Prado Jr. and Alberto Alonso Muñoz. São Paulo: Editora 34. Traduction of Qu’est-ce que la philosophie? Paris, Les Éditions de Minuit, 1991.

  • Huizinga, J. (1993). Homo Ludens. São Paulo: Perspectiva.

  • Kanes, C., & Lerman, S. (2008). Analysing concepts of community of practice. In A. Watson & P. Winbourne (Eds.), New directions for situated cognition in mathematics education (pp. 303–328). New York: Springer.

    Chapter  Google Scholar 

  • Lave, J., & Wenger, E. (1991). Situated learning: Legitimate peripheral participation. Cambridge, UK: Cambridge University Press.

    Google Scholar 

  • Lerman, S. (1989) A social view of mathematics—Implications for mathematics education. In Keitel, C. (Ed.), Mathematics Education and Society (pp. 42–44) UNESCO

  • Lerman, S. (2000). The social turn in mathematics education research. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 19–44). Westport, CT: Ablex.

    Google Scholar 

  • Lévy, P. (2000) A Inteligência Coletiva: por uma antropologia do ciberespaço [Collective Intelligence: Mankind’s Emerging World in Cyberspace]. Translated by Luiz Paulo Rouanet. São Paulo: Edições Loyola.Traduction of L’intelligence colective. Pour une anthropologie du cyberspace. Paris: Éditions La Découverte, 1994.

  • Nyabanyana, T. (2002). Examining examination: The ordinary level (O level) mathematics examination in Lesotho and the impact of recent trends on Basotho students’ epistemological access. South África: Unpublished PhD dissertation, University of the Witwatersrand.

    Google Scholar 

  • Olimpio Junior, A. (2006) Compreensões de Cálculo Diferencial no Primeiro Ano de Matemática: uma abordagem integrando oralidade, escrita e informática [Understandings of Differential Calculus in the First Year of Mathematics Course: an approach integrating speaking, writing and computing]. 2005. Tese (Doutorado em Educação Matemática)—Instituto de Geociências e Ciências Exatas, Universidade Estadual Paulista, Rio Claro.

  • Powell, A. & Francisco, J. & Maher, C. (2004) Uma abordagem à Análise de Dados de Vídeo para investigar o desenvolvimento de idéias e raciocínios matemáticos de estudantes [An Approach to Video Data Analysis to Study the Development of Learners’ Mathematical Ideas and Reasoning]. Tradução de Antônio Olimpio Junior. Boletim de Educação Matemática–BOLEMA. Rio Claro, n. 21.

  • Rosa, M. (2004) Role Playing Game Eletrônico: uma tecnologia lúdica para aprender e ensinar matemática [Electronic Role Playing Game: a playful technology]. Dissertação (Mestrado em Educação Matemática)–UNESP, Rio Claro.

  • Rosa, M. (2008) A Construção de Identidades Online por meio do Role Playing Game:relações com o ensino e aprendizagem de matemática em um curso á distância [The Construction of Online Identities through Role Playing Game: relations with teaching and learning of mathematics in a distance course]. Tese (Doutorado em Educação Matemática)–UNESP, Rio Claro.

  • Tikhomirov, O. K. (1981) The psychological consequences of computerization. In.: Wertsch, J. V. The Concept of Activity in Soviet Psychology. Tradução de: James V. Wertsch. New York: M. E. Sharpe. Traslated from Russian. Soviet Copyright Agency, 1979.

  • Turkle, S. (1989) O Segundo Eu: os computadores e o espírito humano. Lisboa: Editorial Presença. Translated from: The Second Self: computers and the Human Spirit. New York: Simon & Schuster, 1984.

  • Turkle, S. (1997) A Vida no Ecrã: a Identidade na Era da Internet. Lisboa: Relógio D’Água Editores. Translated from: Life on the Screen: identity in the age of the Internet. New York: Touchstone Edition, 1995.

  • Zanini, M. C. (2003) Oficina Criando uma Aventura Paradidática. [Workshop - Creating a Paradicdatic Adventure]. Available from: http://www.simposiorpg.com.br/textos.htm. Accessed on: August 2003

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Maurício Rosa.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rosa, M., Lerman, S. Researching online mathematics education: opening a space for virtual learner identities. Educ Stud Math 78, 69–90 (2011). https://doi.org/10.1007/s10649-011-9310-9

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10649-011-9310-9

Keywords

Navigation