Skip to main content

Lerman’s Perspectives on Information and Communication Technology

  • Chapter
  • First Online:
Shifts in the Field of Mathematics Education

Abstract

In many of his recent publications, Lerman discusses the use of information and communication technology (ICT) in mathematics teaching and learning, addressing several issues such as numeracy, classroom interactions, scaffolding, teacher education, pedagogy, online education, the use of whiteboards, and so forth. In our research, we have addressed sociocultural perspectives to conceptualize the role of ICT as cultural artifacts in mathematical learning and activity. We have built on the notion of humans-with-media to emphasize mathematical knowledge production as a social, collective, and object-directed undertaking. In this chapter, we present (a) the way Lerman dealt with ICT in different publications and (b) potential links between his perspective and part of the work of our research group GPIMEM at Sao Paulo State University, in Brazil. We also discuss potential theoretical insights to our current interest on the use of digital technology and the performance arts for multimodal mathematical communication.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  • Borba, M. C. (1993). Students’ understanding of transformations of functions using multirepresentational software. Doctoral dissertation, Cornell University, USA. Lisbon: Associação de Professores de Matemática.

    Google Scholar 

  • Borba, M. C. (2004). Dimensões da educação matemática à distância [Dimensions of distance mathematics education]. In M. A. V. Bicudo & M. C. Borba (Eds.), Educação Matemática: Pesquisa em movimento [Mathematics education: Research in movement]. São Paulo: Editora Cortez.

    Google Scholar 

  • Borba, M. C. (2009). Potential scenarios for Internet use in the mathematics classroom. ZDM, 41(4), 453–465.

    Article  Google Scholar 

  • Borba, M. C., Malheiros, A. P. S., & Zulatto, R. B. A. (2010). Online distance education. New York: Sense Publishers.

    Google Scholar 

  • Borba, M. C. (2012). Humans-with-media and continuing education for mathematics teachers in online environments. ZDM, 44(6), 801–814.

    Article  Google Scholar 

  • Borba, M. C., & Pentado, M. G. (2001). Informática e Educação Matemática [Informatics and mathematics education]. Belo Horizonte: Editora Autêntica.

    Google Scholar 

  • Borba, M. C., & Villarreal, M. E. (2005). Humans-with-media and the reorganization of mathematical thinking. New York: Springer.

    Google Scholar 

  • Borba, M., & Zulatto, R. (2010). Dialogical education and learning mathematics online from teachers. In R. Leikin & R. Zazkis (Eds.), Learning through teaching mathematics. New York: Springer.

    Google Scholar 

  • Borba, M. C., Malheiros, A. P. S., & Zulatto, R. B. A. (2010). Online distance education. Rotterdam: Sense Publishers.

    Google Scholar 

  • Bruner, J. S. (1996). The culture of education. Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Cobb, P. (1994). Where is the mind? Constructivist and sociocultural perspectives on mathematical development. Educational Researcher, 23(7), 13–20.

    Article  Google Scholar 

  • Crisan, C., Lerman, S., & Winbourne, P. (2006). Mathematics and ICT: A framework for conceptualising secondary school mathematics teachers’ classroom practices. Technology, Pedagogy and Education, 16(1), 21–39.

    Article  Google Scholar 

  • Crisan, C., Lerman, S., & Winbourne, P. (2007). Mathematics and ICT: A framework for conceptualising secondary school teachers’ classroom practices. Technology, Pedagogy and Education, 16(2), 21–39.

    Article  Google Scholar 

  • Doll, W. (1993). Curriculum possibilities in a “post-future”. Journal of Curriculum and Supervision, 8(4), 277–292.

    Google Scholar 

  • Gadanidis, G. (2009). I heard this great math story the other day! Education Canada, 49(5), 44–46.

    Google Scholar 

  • Gadanidis, G., & Borba, M. C. (2008). Our lives as performance mathematicians. For the Learning of Mathematics, 28(1), 44–51.

    Google Scholar 

  • Gadanidis, G., & Geiger, V. (2010). A social perspective on technology enhanced mathematical learning – From collaboration to performance. ZDM – The International Journal on Mathematics Education, 42(2), 91–104.

    Article  Google Scholar 

  • Gadanidis, G., & Hoogland, C. (2003). The aesthetic in mathematics as story. Canadian Journal of Science, Mathematics, and Technology Education, 3(4), 487–498.

    Article  Google Scholar 

  • Gadanidis, G., Hughes, J., & Borba, M. C. (2008). Students as performance mathematicians. Mathematics Teaching in the Middle School, 14(3), 168–176.

    Google Scholar 

  • Gadanidis, G., Hughes, J., & Cordy, M. (2011). Mathematics for gifted students in an arts- and technology-rich setting. Journal for the Education of the Gifted, 34(3), 397–433.

    Article  Google Scholar 

  • Gadanidis, G., Borba, M. C., & Scucuglia, R. (in press). Language diversity and new media: Issues of multimodality and performance. In P. Clarkson & M. C. Domite (Eds.), ICMI study 21: Mathematics education and language diversity. Springer.

    Google Scholar 

  • Goos, M., Galbraith, P., Renshaw, P., & Geiger, V. (2000). Reshaping teacher and student roles in technology-enriched classrooms. Mathematics Education Research Journal, 12(3), 303–320.

    Article  Google Scholar 

  • Jewitt, C. (2006). Technology, literacy and learning: A multimodal approach. New York: Routledge.

    Google Scholar 

  • Kress, G. (1997). Before writing: Rethinking the paths to literacy. New York: Routledge.

    Google Scholar 

  • Kress, G. (2003). Literacy in the new media age. London: Routledge.

    Book  Google Scholar 

  • Laborde, C. (2000). Dynamic geometry environments as a source of rich learning contexts for the complex activity of proving. Educational Studies in Mathematics, 44(1), 151–156.

    Article  Google Scholar 

  • Lerman, S. (1996). Intersubjectivity in mathematics learning: A challenge to the radical constructivist paradigm? Journal for Research in Mathematics Education, 27(2), 133–150.

    Article  Google Scholar 

  • Lerman, S. (1998). The intension/intention of teaching mathematics. Keynote to MERGA conference. http://www.merga.net.au/documents/Keynote_Lerman_1998.pdf

  • Lerman, S. (2004). Researching numeracy teaching and learning with ICT: Facing the problems of innovation. In I. J. Putt, R. Faragher, & M. McLean (Eds.), Mathematics education for the third millennium: Towards 2010 (Proceedings of the 27th annual conference of the Mathematics Education Research Group of Australasia (pp. 618–621). Sydney: MERGA.

    Google Scholar 

  • Lerman, S., & Zevenbergen, R. (2004). The socio-political context of the mathematics classroom: Using Bernstein’s theoretical framework to understand classroom communications. In P. Valero & R. Zevenbergen (Eds.), Researching the social dimensions of mathematics education: Theoretical, methodological and practical issues. Dordrecht: Kluwer.

    Google Scholar 

  • Lerman, S., & Zevenbergen, R. (2006). Maths, ICT and pedagogy: An examination of equitable practice across diverse settings. In J. Novotna, H. Morova, M. Kratka, & N. Stehlikova (Eds.), Mathematics in the centre: Proceedings of the 30th conference of the international group for the Psychology of Mathematics Education (Vol. 4, pp. 49–56). Prague: PME.

    Google Scholar 

  • Lerman, S., & Zevenbergen, R. (2007). Interactive whiteboards as mediating tools for teaching mathematics: Rhetoric or reality? In Proceedings of the 31st conference of the international group for the Psychology of Mathematics Education. Seoul: PME.

    Google Scholar 

  • Levy, P. (1993). Tecnologias da Inteligência: O futuro do pensamento na era da informática [Technologies of intelligence: The future of thinking in the informatics era]. Rio de Janeiro: Editora 34.

    Google Scholar 

  • Levy, P. (1997). Collective intelligence: Mankind’s emerging world in cyberspace. New York: Basic Books.

    Google Scholar 

  • Levy, P. (1998). Becoming virtual: Reality in the digital age. New York: Plenum Press.

    Google Scholar 

  • Levy, P. (2000). Cibercultura [Cyberculture]. Rio de Janeiro: Editora 34.

    Google Scholar 

  • Lévy, P. (2001). Cyberculture (Electronic mediations). Minneapolis: University of Minnesota Press.

    Google Scholar 

  • Mazzi, L. C., Siqueira, M. N., & Borba, M. C. (2012). As possibilidades e limitações do uso da lousa digital na Educação Matemática [Possibilities and limitations on the use of digital board in mathematics education]. Perspectivas da Educação Matemática [Perspectives of Mathematics Education], 5(1), 07–18.

    Google Scholar 

  • Noss, R., & Hoyles, C. (1996). Windows on mathematical meaning. Learning culture and computers. Dordrecht: Kluwer.

    Book  Google Scholar 

  • Pahl, K., & Rowsell, J. (2005). Literacy and education: Understanding the new literacy studies in the classroom. Thousand Oaks: Sage.

    Google Scholar 

  • Papert, S. (1980). Mindstorms: Children, computers and powerful ideas. New York: Basic Books.

    Google Scholar 

  • 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 à distância [Online identity construction through role playing game: Relations with teaching and learning mathematics in a distance course]. Doctoral dissertation, Sao Paulo State University, Rio Claro, SP, Brazil.

    Google Scholar 

  • Rosa, M., & Lerman, S. (2011). Researching online mathematics education: Opening a space for virtual learner identities. Educational Studies in Mathematics, 78(1), 69–90.

    Article  Google Scholar 

  • Rowsell, J., & Walsh, M. (2011). Rethinking literacy education in new times: Multimodality, multiliteracies, & new literacies. Brock Education, 21(1), 53–62.

    Google Scholar 

  • Scucuglia, R. (2012). On the nature of students’ digital mathematical performances: When elementary school students produce mathematical multimodal artistic narratives. Germany: Verlag/LAP Lambert Academic Publishing.

    Google Scholar 

  • Scucuglia, R., Gadanidis, G., & Borba, M. C. (2011). Thinking collectives and digital mathematical performance. In M. Setati, T. Nkambule, & L. Goosen (Eds.), Proceedings of the ICMI study 21 mathematics and language diversity (pp. 348–355). Sao Paulo, Brazil.

    Google Scholar 

  • Tall, D. (1991). Advanced mathematical thinking. Dordrecht: Kluwer Academic Publishers.

    Book  Google Scholar 

  • The New London Group. (1996). A pedagogy of multiliteracies: Designing social futures. Harvard Educational Review, 66(1), 60–92.

    Google Scholar 

  • Tikhomirov, O. K. (1981). The psychological consequences of computerization. In J. Wertsch (Ed.), The concept of activity in Soviet psychology. Armonk: M. E. Sharpe.

    Google Scholar 

  • Vygotsky, L. S. (1978). Mind and society: The development of higher psychological processes. Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Walsh, M. (2011). Multimodal literacy: Researching classroom practice. Sydney: e:lit, Primary Teachers Association of Australia.

    Google Scholar 

  • Zevenbergen, R., & Lerman, S. (2005). Classroom interactions: Scaffolding students learning with ICTS. In M. Goos, C. Kanes, & R. Brown (Eds.), Proceedings of the 4th international conference of the Mathematics Education and Society Group. Brisbane: Centre for Learning Research.

    Google Scholar 

  • Zevenbergen, R., & Lerman, S. (2006). Maths, ICT and pedagogy: An examination of equitable practice in diverse contexts. In J. Novotna, H. Moraova, M. Kratka, & N. Stehlikova (Eds.), Proceedings of the thirtieth meeting of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 49–56). Prague: Charles University.

    Google Scholar 

  • Zevenbergen, R., & Lerman, S. (2007). Interactive Whiteboards as mediating tools for teaching mathematics: Rhetoric or reality? In J.-H. Woo, H.-C. Lew, K.-S. Park, & D.-Y. Seo (Eds.), Proceedings of the thirty-first meeting of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 169–176). Seoul: The Korea Society of Educational Studies in Mathematics.

    Google Scholar 

  • Zevenbergen, R., & Lerman, S. (2008). Learning environments using interactive whiteboards: New learning spaces or reproduction of old technologies? Mathematics Education Research Journal, 20(1), 107–125.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Marcelo C. Borba .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer Science+Business Media Singapore

About this chapter

Cite this chapter

Borba, M.C., Scucuglia, R. (2015). Lerman’s Perspectives on Information and Communication Technology. In: Gates, P., Jorgensen (Zevenbergen), R. (eds) Shifts in the Field of Mathematics Education. Springer, Singapore. https://doi.org/10.1007/978-981-287-179-4_15

Download citation

Publish with us

Policies and ethics