Skip to main content

Ancient School Without Walls: Collective Creativity in the Mathematics Village

  • Chapter
  • First Online:
  • 1511 Accesses

Part of the book series: Mathematics Education in the Digital Era ((MEDE,volume 10))

Abstract

This study is designed as a qualitative research in order to examine (i) how the Mathematics Village promotes mathematical creativity and (ii) the transformation of Mathematics Village from a non-virtual environment to Social Media, which is a virtual environment. Our data collection tools include individual interviews with two mathematicians, who teach at the Mathematics Village as well as focus group interviews with seven high school, undergraduate, and graduate students and classroom observations. We have analyzed the collected data via content analysis. The findings of this study reveal that the Mathematics Village promotes mathematical creativity of students and enables mathematicians to activate their own creativity. From that perspective, having an educational setting that provides freedom can positively affect students’ state of mind and creativity. Therefore, it is of importance to transfer basic characteristics of a non-virtual environment (Mathematics Village) into a virtual environment (Social Media), which brings people together with the aim of doing mathematics.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   199.99
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

Learn about institutional subscriptions

References

  • Alladi, K., & Rino Nesin, G. A. (2015). The Nesin Mathematics Village in Turkey. Notices of the American Mathematical Society, 62(6), 652–658. https://doi.org/10.1090/noti1258.

    Article  Google Scholar 

  • Amabile, T. M. (1983). The social psychology of creativity. New York, NY: Springer.

    Book  Google Scholar 

  • Amabile, T. M. (1988). A model of creativity and innovation in organizations. In B. M. Staw & L. L. Cummings (Eds.), Research in organizational behavior (Vol. 10, pp. 123–167). Greenwich, CT: JAI Press.

    Google Scholar 

  • Amabile, T. M. (1996). Creativity in context: Update to the social psychology of creativity. New York, NY: Westview Press.

    Google Scholar 

  • Ayık, G., Ayık, H., Bugay, L., & Kelekci, O. (2013). Generating sets of finite singular transformation semigroups. Semigroup Forum, 86(1), 59–66.

    Article  Google Scholar 

  • Baya’a, N., & Daher, W. (2013). Facebook as an educational environment for mathematics learning. In G. Mallia (Ed.), The social classroom: Integrating social network use in education (pp. 171–191). Hershey, PA: IGI Global.

    Google Scholar 

  • Cropley, A. J. (2001). Creativity in education and learning: A guide for teachers and educators. London, UK: Kogan Page.

    Google Scholar 

  • Csikszentmihalyi, M. (1988). Society, culture, and person: A systems view of creativity. In R. J. Sternberg (Ed.), The nature of creativity (pp. 325–339). Cambridge, MA: Cambridge University Press.

    Google Scholar 

  • Csikszentmihalyi, M. (1996). Creativity: Flow and the psychology of discovery and invention. New York, NY: Harper Collins.

    Google Scholar 

  • Csikszentmihalyi, M. (2000). Implications of a systems perspective for the study of creativity. In R. J. Sternberg (Ed.), Handbook of creativity (pp. 313–338). Cambridge, UK: Cambridge University Press.

    Google Scholar 

  • Dabbagh, N., & Kitsantas, A. (2012). Personal learning environments, social media, and self-regulated learning: A natural formula for connecting formal and informal learning. The Internet and Higher Education, 15(1), 3–8. https://doi.org/10.1016/j.iheduc.2011.06.002.

    Article  Google Scholar 

  • Dabbagh, N., & Reo, R. (2011). Back to the future: Tracing the roots and learning affordances of social software. In M. J. W. Lee & C. McLoughlin (Eds.), Web 2.0-based e-learning: Applying social informatics for tertiary teaching (pp. 1–20). Hershey, PA: IGI Global.

    Google Scholar 

  • Fleith, S. D. (2000). Teacher and student perceptions of creativity in the classroom environment. Roeper Review, 22(3), 148–153. https://doi.org/10.1080/02783190009554022.

    Article  Google Scholar 

  • Göral, H., & Sertbaş, D. C. (2017). Almost all hyperharmonic numbers are not integers. Journal of Number Theory, 171, 495–526.

    Article  Google Scholar 

  • Ito, M., Baumer, S., Bittanti, M., Boyd, D., Cody, R., Herr-Stephenson, B., et al. (2009). Hanging out, messing around, and geeking out: Kids living and learning with new media. Cambridge, MA: MIT press.

    Google Scholar 

  • Levenson, E. (2011). Exploring collective mathematical creativity in elementary school. Journal of Creative Behaviour, 45(3), 215–234. https://doi.org/10.1002/j.2162-6057.2011.tb01428.x.

    Article  Google Scholar 

  • Lu, J., Hao, Q., & Jing, M. (2016). Consuming, sharing, and creating content: How young students use new social media in and outside school. Computers in Human Behavior, 64, 55–64. https://doi.org/10.1016/j.chb.2016.06.019.

    Article  Google Scholar 

  • Mann, E. L. (2006). Creativity: The essence of mathematics. Journal for the Education of the Gifted, 30(2), 236–262. https://doi.org/10.4219/jeg-2006-264.

    Article  Google Scholar 

  • McLoughlin, C., & Lee, M. J. W. (2011). Pedagogy 2.0: Critical challenges and responses to web 2.0 and social software in tertiary teaching. In M. J. W. Lee & C. McLoughlin (Eds.), Web 2.0-based e-learning: Applying social informatics for tertiary teaching (pp. 43–69). Hershey, PA: IGI Global.

    Google Scholar 

  • Meusburger, P. (2009). Milieus of creativity: The roles of places, environments, and spatial contexts. In P. Meusburger, J. Funke, & E. Wunder (Eds.), Milieus of creativity: An interdisciplinary approach to spatiality of creativity (pp. 97–153). Dordrecht, The Netherlands: Springer.

    Chapter  Google Scholar 

  • Nesin, A. (2008). Matematik ve develerle eşekler [Mathematics with camels and donkeys] Istanbul, Turkey: Nesin Yayınevi.

    Google Scholar 

  • Nesin Mathematics Village. (2017). Nesin Mathematics Village from http://nesinkoyleri.org/eng/. Accessed January 15, 2017.

  • Patton, M. Q. (2002). Qualitative research and evaluation options. Thousand Oaks, CA: Sage.

    Google Scholar 

  • Pehkonen, E. (1997). The state-of-art in mathematical creativity. International Journal on Mathematical Education, 29(3), 63–67. https://doi.org/10.1007/s11858-997-0001-z.

    Article  Google Scholar 

  • Peppler, K. (2013). Social media and creativity. In D. Lemish (Ed.), International handbook of children, adolescents, and media (pp. 193–200). New York, NY: Routledge.

    Google Scholar 

  • Peppler, K. A., & Solomou, M. (2011). Building creativity: Collaborative learning and creativity in social media environments. On the Horizon, 19(1), 13–23. https://doi.org/10.1108/10748121111107672.

    Article  Google Scholar 

  • Personalize Learning. (2017). Schools Without Classroom. Retrieved from http://www.personalizelearning.com/2014/06/schools-without-classrooms.html.

  • Plucker, J. A., Beghetto, R. A., & Dow, G. T. (2004). Why isn’t creativity more important to educational psychologists? Potentials, pitfalls, and future directions in creativity research. Educational Psychologist, 39(2), 83–96.

    Article  Google Scholar 

  • Sriraman, B. (2004). The characteristics of mathematical creativity. The Mathematics Educator, 14(1), 19–34.

    Google Scholar 

  • Zaman, M., Ananda rajan, M., & Dai, Q. (2010). Experiencing flow with instant messaging and its facilitating role on creative behaviors. Computers in Human Behavior, 26(5), 1009–1018.

    Google Scholar 

Download references

Acknowledgements

We would like to thank Dr. Ali Nesin and Dr. Özlem Beyarslan for their contributions to the study.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Elçin Emre-Akdoğan .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Emre-Akdoğan, E., Yazgan-Sağ, G. (2018). Ancient School Without Walls: Collective Creativity in the Mathematics Village. In: Freiman, V., Tassell, J. (eds) Creativity and Technology in Mathematics Education. Mathematics Education in the Digital Era, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-319-72381-5_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-72381-5_17

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-72379-2

  • Online ISBN: 978-3-319-72381-5

  • eBook Packages: EducationEducation (R0)

Publish with us

Policies and ethics