Encyclopedia of Mathematics Education

2020 Edition
| Editors: Stephen Lerman

Information and Communication Technology (ICT) Affordances in Mathematics Education

  • Stephen HegedusEmail author
  • Luis Moreno-Armella
Reference work entry
DOI: https://doi.org/10.1007/978-3-030-15789-0_78
  • 4 Downloads

Definition

New forms of technology that enhance access to core mathematical concepts through dynamic representations and classroom connectivity.

Characteristics

Informationhas changed over the past 10 years. Information can be thought of as a knowledge base, and with advances in technology, access to this knowledge is increasing on a daily basis. Knowledge is growing and the impact of such growth on education is wide and varied. In addition to thinking of information as the accumulation of knowledge, it can also be thought of as how knowledge can be represented, and in mathematics education, this has certainly evolved rapidly over the past decade in terms of the representational affordances of new technologies both software and hardware. Information is now embedded in representational media. In mathematics education, this has enabled a transformation of the mathematics from static to dynamic symbolic systems through which teachers and learners can access knowledge and think....

Keywords

Static mathematics Dynamic symbol systems Dragging Invariance Mediation Social technology 
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References

  1. Brady C, White T, Hegedus S (2013) SimCalc and the networked classroom. In: Hegedus S, Roschelle J (eds) Democratizing access to important mathematics through dynamic representations: contributions and visions from the SimCalc research program. Springer, BerlinGoogle Scholar
  2. Deacon T (1997) The symbolic species: the co-evolution of language and the human brain. W. W. Norton & Company, New YorkGoogle Scholar
  3. Donald M (2001) A mind so rare: the evolution of human consciousness. W. W. Norton & Company, New YorkGoogle Scholar
  4. Drijvers P, Kieran C, Mariotti MA (2009) Integrating technology into mathematics education: theoretical perspectives. In: Hoyles C, Lagrange J-B (eds) Mathematics education and technology: rethinking the terrain. Springer, New YorkGoogle Scholar
  5. Falcade R, Laborde C, Mariotti MA (2007) Approaching functions: Cabri tools as instruments of semiotic mediation. Educ Stud Math 66:317–333CrossRefGoogle Scholar
  6. Hegedus S, Moreno-Armella L (2009) Intersecting representation and communication infrastructures. ZDM 41:399–412CrossRefGoogle Scholar
  7. Hegedus SJ, Roschelle J (2012) Highly adaptive, interactive instruction: insights for the networked classroom. In: Dede C, Richards J (eds) Digital teaching platforms. Teachers College Press, New York, pp 103–116Google Scholar
  8. Hoyles C, Lagrange J-B (eds) (2009) Mathematics education and technology: rethinking the terrain. Springer, New YorkGoogle Scholar
  9. Hutchins E (1996) Cognition in the wild. MIT Press, CambridgeGoogle Scholar
  10. Kaput J, Roschelle J (1998) The mathematics of change and variation from a millennial perspective: new content, new context. In: Hoyles C, Morgan C, Woodhouse G (eds) Rethinking the mathematics curriculum. Springer, London, pp 155–170Google Scholar
  11. Kaput J, Noss R, Hoyles C (2001) Developing new notations for learnable mathematics in the computational era. In: English LD (ed) The handbook of international research in mathematics. Kluwer, London, pp 51–73Google Scholar
  12. Moreno-Armella L, Hegedus S, Kaput J (2008) From static to dynamic mathematics: historical and representational perspectives. Educ Stud Math 68(2):99–111CrossRefGoogle Scholar
  13. Nemirovsky R, Tierney C, Wright T (1998) Body motion and graphing. Cogn Instr 16(2):119–172CrossRefGoogle Scholar
  14. Roschelle J, Shechtman N, Tatar D, Hegedus S, Hopkins B, Empson S, Knudsen J, Gallagher L (2010) Integration of technology, curriculum, and professional development for advancing middle school mathematics: three large-scale studies. Am Educ Res J 47(4):833–878CrossRefGoogle Scholar
  15. Stroup W (2003) Understanding qualitative calculus: a structural synthesis of learning research. Int J Comput Math Learn 7(2):167–215CrossRefGoogle Scholar
  16. Stroup W, Ares N, Hurford A (2005) A dialectic analysis of generativity: issues of network-supported design in mathematics and science. Math Think Learn 7(3):181–206CrossRefGoogle Scholar
  17. Wilensky U, Stroup W (1999) Learning through participatory simulations: network-based design for systems learning in classrooms. In: Paper presented at the computer supported collaborative learning (CSCL ’99) conference, Stanford University, 12–15 Dec 1999Google Scholar
  18. Wilensky U, Stroup W (2000) Networked gridlock: students enacting complex dynamic phenomena with the HubNet architecture. In: Proceedings of the fourth annual international conference of the learning sciences, Ann Arbor, 14–17 June 2000Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.University of Massachusetts, DartmouthFairhavenUSA
  2. 2.School of EducationSouthern Connecticut State UniversityNew HavenUSA
  3. 3.Department of Mathematics Education, CINVESTAV-IPNNational Polytechnic InstituteCiudad de MéxicoMexico

Section editors and affiliations

  • Bharath Sriraman
    • 1
  1. 1.Department of Mathematical SciencesThe University of MontanaMissoulaUSA