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Exploring the Affordances of SimReal for Learning Mathematics in Teacher Education: A Socio-Cultural Perspective

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Computer Supported Education (CSEDU 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1220))

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Abstract

SimReal is an innovative technology that emerged the last few years in mathematics education. It provides new potentialities for mathematical learning by means of dynamic and interactive visualizations of mathematical concepts. This paper uses SimReal in the context of teacher education to explore the affordances and constraints of the tool for the learning of mathematics. It presents a framework that combines Vygotsky’s socio-cultural theory, the role of mediation, and the notion of affordance at a technological, pedagogical, and socio-cultural level. The aim of the article is to explore the extent to which SimReal as a mediating artifact affords students’ mathematical learning in teacher education.

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References

  1. Drijvers, P., Kieran, C., Mariotti, M.-A.: Integrating technology into mathematics education: theoretical perspectives. In: Hoyles, C., Lagrange, J.-B. (eds.) Mathematics and Technology-Rethinking the Terrain. Springer, Berlin (2010). https://doi.org/10.1007/978-1-4419-0146-0_7

    Chapter  Google Scholar 

  2. Geiger, V., Forgasz, H., Tan, H., Calder, N., Hill, J.: Technology in mathematics education. In: Perry, B., et al. (eds.) Research in Mathematics Education in Australasia 2002–2011, pp. 111–141. Sense Publishers, Boston (2012)

    Chapter  Google Scholar 

  3. Hadjerrouit, S.: Investigating the affordances and constraints of SimReal for mathematical learning: a case study in teacher education. Proc. CSEDU 2019, 27–37 (2019)

    Google Scholar 

  4. Clements, M.A.: Fifty years of thinking about visualization and visualizing in mathematics education: a historical overview. In: Fried, M.N., Dreyfus, T. (eds.) Mathematics & Mathematics Education: Searching for Common Ground. AME, pp. 177–192. Springer, Dordrecht (2014). https://doi.org/10.1007/978-94-007-7473-5_11

    Chapter  Google Scholar 

  5. Presmeg, N.: Visualization and learning in mathematics education. In: Lerman, S. (ed.) Encyclopedia of Mathematics Education, pp. 636–640. Springer, Berlin (2014). https://doi.org/10.1007/978-3-030-15789-0

    Chapter  Google Scholar 

  6. Arcavi, A.: The role of visual representations in the learning of mathematics. Educ. Stud. Math. 52(3), 215–241 (2003)

    Article  Google Scholar 

  7. SimReal. http://grimstad.uia.no/perhh/phh/matric/simreal/no/sim.htm. Accessed 07 June 2019

  8. Brekke, M., Hogstad, P.H.: New teaching methods – using computer technology in physics, mathematics, and computer science. Int. J. Digit. Soc. (IJDS) 1(1), 17–24 (2010)

    Article  Google Scholar 

  9. Hogstad, N.M., Ghislain, M., Vos, P.: Engineering students’ use of visualizations to communicate about representations and applications in a technological environment. In: Proceedings of INDRUM2016, 31 March–2 April, pp. 211–220. Montpellier (2016)

    Google Scholar 

  10. Gautestad, H.V.: Use of SimReal+ in mathematics at the university level. A case study of teacher’s orchestrations in relation to the usefulness of the tool for students. Master thesis. University of Agder, Kristiansand (2015)

    Google Scholar 

  11. Hogstad, N.M.: Use of SimReal+ in mathematics at the university level. A case study of students’ attitudes and challenges. Master thesis. University of Agder, Kristiansand (2012)

    Google Scholar 

  12. Curri, E.: Using computer technology in teaching and learning mathematics in an Albanian upper secondary school. The implementation of SimReal in trigonometry lessons. Master thesis. University of Agder, Kristiansand (2012)

    Google Scholar 

  13. Hadjerrouit, S., Gautestad, H. H.: Using the visualization tool SimReal to orchestrate mathematical teaching for engineering students. In: González, C.S, Castro, M., Nistal M.L. (eds.) Proceedings of EDUCON 2018 - Emerging Trends and Challenges of Engineering Education. IEEE Global Engineering Education Conference, pp. 44–48 (2018)

    Google Scholar 

  14. Hadjerrouit, S.: Evaluating the interactive learning tool SimReal+ for visualizing and simulating mathematical concepts. In: Proceedings of the 12th International Conference on Cognition and Exploratory Learning in Digital Age (CELDA 2015), pp. 101–108 (2015)

    Google Scholar 

  15. Hadjerrouit, S.: Assessing the affordances of SimReal+ and their applicability to support the learning of mathematics in teacher education. Issues Inf. Sci. Inf. Technol. 14, 121–138 (2017)

    Google Scholar 

  16. Vygotsky, L.: Mind in Society. The Development of Higher Psychological Processes. Havard University Press, Cambridge (1978)

    Google Scholar 

  17. Trouche, L.: Analysing the complexity of human/machine interactions in computerized learning environments: guiding students’ command process through instrumental orchestrations. Int. J. Comput. Math. Learn. 9, 281–307 (2004)

    Article  Google Scholar 

  18. Gibson, J.J.: The Ecological Approach to Visual Perception. Houghton Mifflin, Boston (1977)

    Google Scholar 

  19. Osiurak, F., Rossetti, Y., Badets, A.: What is an affordance? 40 years later. Neurosci. Behav. Rev. 77, 403–417 (2017)

    Article  Google Scholar 

  20. Norman, D.A.: The Psychology of Everyday Things. Basic Books, New York (1988)

    Google Scholar 

  21. Turner, P., Turner, S.: An affordance-based framework for CVE evaluation. In: People and Computers XVII – The Proceedings of the Joint HCI-UPA Conference, pp. 89–104. Springer, London (2002). https://doi.org/10.1007/978-1-4471-0105-5_6

  22. Kirchner, P., Strijbos, J.-W., Kreijns, K., Beers, B.J.: Designing electronic collaborative learning environments. Educ. Technol. Res. Dev. 52(3), 47–66 (2004)

    Article  Google Scholar 

  23. Chiappini, G.: Cultural affordances of digital artifacts in the teaching and learning of mathematics. In: Proceedings of ICTMT11 (2013)

    Google Scholar 

  24. DeLanda, E.: Intensive Science and Virtual Philosophy. Bloomsbury Academic, New York (2013)

    Google Scholar 

  25. Pierce, R., Stacey, K.: Mapping pedagogical opportunities provided by mathematical analysis software. Int. J. Math. Learn. 15, 1–20 (2010)

    Article  Google Scholar 

  26. Brousseau, G.: Theory of Didactical Situations In Mathematics. Kluwer Academic Publishers, Boston (1997)

    Google Scholar 

  27. Hadjerrouit, S.: Bronner, A.: An instrument for assessing the educational value of Aplusix (a + x) for learning school algebra. In: Searson, M., Ochoa, M. (eds.). Proceedings of Society for Information Technology and Teacher Education International Conference 2014, pp. 2241–2248. AACE, Chesapeake (2014)

    Google Scholar 

  28. Zbiek, R.M., Heid, M.K., Blume, G.W., Dick, T.P.: Research on technology in mathematics education, a perspective of constructs. In: Lester, F.K. (ed.) Second Handbook of Research on Mathematics Teaching and Learning, pp. 1169–1207. Information Age, Charlotte (2007)

    Google Scholar 

  29. Pythagoras theorem. http://grimstad.uia.no/perhh/phh/MatRIC/SimReal/no/SimRealP/AA_sim/Mathematics/Geometry/KeyWordIcon_Pythagoras_Exercise.htm. Accessed 12 June 2019

  30. Square theorem. http://grimstad.uia.no/perhh/phh/MatRIC/SimReal/no/SimRealP/AA_sim/Mathematics/Basic/KeyWordIcon_Square_Exercise.htm. Accessed 11 June 2019

  31. Bokhove, K., Drijvers, P.: Digital tools for algebra education: Criteria and evaluation. Int. J. Math. Learn. 15, 45–62 (2010)

    Article  Google Scholar 

  32. Burlamaqui, L., Dong, A.: The use and misuse of the concept of affordance. In: Gero, John S., Hanna, S. (eds.) Design Computing and Cognition ‘14, pp. 295–311. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-14956-1_17

    Chapter  Google Scholar 

  33. Latour, B.: Reassembling the Social: An Introduction to Actor-Network-Theory. Oxford University Press, Oxford (2005)

    Google Scholar 

  34. Wright, S., Parchoma, G.: Technologies for learning? An actor-network theory critique of ‘affordances’ in research on mobile learning. Res. Learn. Technol. 19(3), 247–258 (2011)

    Article  Google Scholar 

  35. De Freitas, E., Sinclair, N.: Mathematics and the Body: Material Entanglements in the Classroom. Cambridge University Press, New York (2014)

    Book  Google Scholar 

  36. Withagen, R., Araújo, D., de Poel., H.J.: Inviting affordances and agency. New Ideas Psychol. 45, 11–18 (2017)

    Google Scholar 

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Acknowledgment

This research was supported by MatRIC – The Centre for Research, Innovation and Coordination of Mathematics Teaching, project number 150401. I would like to express my special appreciation to Per Henrik Hogstad, and his great support in designing and teaching mathematics lessons using SimReal.

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Hadjerrouit, S. (2020). Exploring the Affordances of SimReal for Learning Mathematics in Teacher Education: A Socio-Cultural Perspective. In: Lane, H.C., Zvacek, S., Uhomoibhi, J. (eds) Computer Supported Education. CSEDU 2019. Communications in Computer and Information Science, vol 1220. Springer, Cham. https://doi.org/10.1007/978-3-030-58459-7_2

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  • DOI: https://doi.org/10.1007/978-3-030-58459-7_2

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