Advertisement

ZDM

, Volume 50, Issue 5, pp 893–906 | Cite as

The conception and development of textbooks for distance learning courses: a case study of a teacher education course

  • Márcia Maria Fusaro Pinto
  • Gert Schubring
Original Article
  • 101 Downloads

Abstract

The aim is to contribute to the research on the conception and development of mathematics textbooks for undergraduate distance education courses (EAD). In particular, we acknowledge the EAD undergraduate courses in Brazil as an important governmental initiative for teacher education. Amongst other specificities of the Brazilian model of distance education, one aspect consists of writing proper material and textbooks, raising a need to investigate the results of their conception and development. We report on a case study in which a chapter in a written textbook developed by a group of professors is analysed according to hermeneutics, describing the tessiture of the text and context of the implemented task. Aware that the task demanded processes different from those used when writing textbooks for face-to-face lecture courses, though at the same time not coinciding with the wordings of the interactions of a classroom lecture, the group of authors agreed on a notion of lessons on paper. Our analysis faces the challenge of problematising qualitative differences regarding the semiotic means of the mathematics embedded in face-to-face versus distance learning activities, raising questions on the nature of their results and the development of induced thinking in both contexts. Investigating the kind of mathematical knowledge produced for the lessons on paper texts, we drew on whether the written lesson for distance education is closer to the pedagogical-content knowledge than to the classical academic knowledge.

Keywords

Distance education Textbook development Mathematical knowledge Interpretation methodology Hermeneutics 

References

  1. Araújo, J. L. (2010). Brazilian research on modelling in mathematics education. ZDM - The International Journal on Mathematics Education, 42, 337–348.CrossRefGoogle Scholar
  2. Balacheff, N. (1988). Une étude des processus de preuve en mathématique chez des élèves de collège. Thèse, Université J. Fourier, Grenoble.Google Scholar
  3. Barbosa, J. C. (2006). Mathematical modelling in classroom: A socio-critical and discursive perspective. ZDM, 38(3), 293–301.CrossRefGoogle Scholar
  4. Bishop, A. J. (1997). Mathematial enculturation: A cultural perspective on mathematics education. Dordrecht: Kluwer.Google Scholar
  5. Brasil. (2006). Decreto no 5.800, de 9 de junho de 2006. Dispõe sobre o sistema Universidade Aberta do Brasil. Diário Oficial da União, Brasília, DF (p. 9).Google Scholar
  6. Brasil. MEC/SEED Ministério da Educação Secretaria de Educação a Distância. (2007). Referenciais de Qualidade para a Educação Superior a Distância. Agosto de 2007. http://portal.mec.gov.br/seed/arquivos/pdf/legislacao/refead1.pdf. Accessed 15 Nov 2017.
  7. Breen, S., Larson, N., O’Shea, A., & Pettersson, K. (2015). Students’ concept images of inverse functions. In K. Krainer & N. Vondrová (Eds.), Proceedings of CERME 9—ninth congress of the European society for research in mathematics education (pp. 2228–2234). Prague: Charles University.Google Scholar
  8. Carlson, M., & Oehrtman, M. (2005). Key aspects of knowing and learning the concept of function. Research Sampler 9.Google Scholar
  9. Duval, R. (2006). A cognitive analysis of problems of comprehension in a learning of mathematics. Educational Studies in Mathematics, 61, 103–131.CrossRefGoogle Scholar
  10. Farias, S. A. D. (2009). Construção de materiais didáticos impressos para cursos de licenciatura em matemática a distância: o caso da UFPB. Dissertação de Mestrado. Programa de Pós Graduação da Universidade Federal da Paraíba, PPGE/UFPB.Google Scholar
  11. Furinghetti, F., & Radford, L. (2002). Historical conceptual developments and the teaching of mathematics: From philogenesis and ontogenesis theory to classroom practice. In L. D. English, et al. (Eds.), Handbook of international research in mathematics education (pp. 631–654). Mahwah: Erlbaum.Google Scholar
  12. Gárcia Aretio, L. (1997). Unidades didácticas y guías didácticas en la UNED (orientaciones para su elaboración). Madrid: Universidad Nacional de Educación a Distancia.Google Scholar
  13. Gárcia Aretio, L. (2001). La Educación a Distancia. De la teoria a la práctica. Barcelona: Ariel.Google Scholar
  14. Kang, W., & Kilpatrick, J. (1992). Didactic transposition in mathematics textbooks. For the Learning of Mathematics, 12(1), 2–7.Google Scholar
  15. Laaser, W. (1997). Manual de criação e elaboração de materiais para educação a distância. Brasília: CEAD-Edunb.Google Scholar
  16. Lucus, C. A. (2005). Composition of function and inverse function of a function: Main ideas, as perceived by teachers and prospective teachers. Ph.D. thesis. Faculty of Education, Simon Fraser University, Canada.Google Scholar
  17. Moore, M. (1997). Theory of transactional distance. In D. Keegan (Ed.), Theoretical principles of distance education (pp. 22–38). London: Routledge.Google Scholar
  18. Moore, M., & Kearsley, G. M. (2005). Distance education. A systems view. Belmont: Wadsworth.Google Scholar
  19. Moran, J. M. (2016). Avaliação do Ensino Superior a Distância no Brasil. http://www.eca.usp.br/prof/moran/avaliacao.htm. Acessed 15 Nov 2017.
  20. Neves, C. M. C. (2003). Referenciais de Qualidade para a Educação Superior a Distância. Diretoria de Política de Educação a Distância. MEC/SEED, 02 abril 2003.Google Scholar
  21. O’Halloran, K. (2018). A new generation of mathematics textbook research and development. ZDM Mathematics Education, 50(5) (this issue).Google Scholar
  22. Pinto, M. M. F., Araújo, J., & Ferreira, M. C. C. (2008). Cálculo I. Belo Horizonte: Editora UFMG.Google Scholar
  23. Radford, L. (2002). The seen, the spoken and the written: A semiotic approach to the problem of objectification of mathematical knowledge. For the Learning of Mathematics, 22(2), 14–23.Google Scholar
  24. Safavi, A., Rostamy-Malkhalifeh, M., Behzadi, M.-H., & Shahvarani, A. (2013). Study on the efficiency of mathematics distance education. Mathematics Education Trends and Research, 2013, 1–6.CrossRefGoogle Scholar
  25. Saito, K. (2018). Diagrams and traces of oral teaching in Euclid’s elements—labels and references. ZDM Mathematics Education, 50(5) (this issue).Google Scholar
  26. Schubring, G. (2005). Conflicts between generalization, rigor and intuition. Number concepts underlying the development of analysis in 17th–19th century France and Germany. New York: Springer.Google Scholar
  27. Sfard, A. (1991). On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin. Educational Studies in Mathematics, 22(1), 1–36.CrossRefGoogle Scholar
  28. Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14.CrossRefGoogle Scholar
  29. Torres, P. L., & Vianney, J. (2003). A universidade virtual no Brasil: O ensino superior a distância no país. Tubarão: Editora Unisul.Google Scholar
  30. Unguru, S. (1975). On the need to rewrite the history of Greek mathematics. Archive for History of Exact Sciences, 15, 67–114.CrossRefGoogle Scholar
  31. Unguru, S., & Rowe, D. (1982). Does the quadratic equation have Greek roots? A study of “geometric algebra”, “application of areas”, and related problems. Libertas Mathematica, 2, 1–62.Google Scholar
  32. Vianney, J., Torres, P., & Farias, E. (2003). Universidade virtual: Um novo conceito na EAD. In C. Maia (Ed.), ead.br: experiências inovadoras em educação a distância no Brasil: reflexões atuais, em tempo real (pp. 47–62). São Paulo: Editora Anhembi Morumbi.Google Scholar
  33. Weil, A. (1978). Who betrayed Euclid? Archive for History of Exact Sciences, 19, 91–93.CrossRefGoogle Scholar
  34. Wilson, F., Adamson, S., Cox, T., & O’Bryan, A. (2016). Inverse functions: We’re teaching it all wrong. On the teaching and learning of mathematics. American Mathematical Society Blogs. https://blogs.ams.org/matheducation/2016/11/28/inverse-functions-were-teaching-it-all-wrong/. Accessed 17 Sept 2017.
  35. Wolf, F. A. (1839). Vorlesung über die Encyclopaedie der Alterthumswissenschaft; edited by J. D. Gürtler. Leipzig: Lehnhold.Google Scholar
  36. Yin, R. K. (1994). Case study research. Design and methods (2 ed.). Thousand Oaks: Sage Publications.Google Scholar

Copyright information

© FIZ Karlsruhe 2018

Authors and Affiliations

  1. 1.Universidade Federal do Rio de JaneiroRio de JaneiroBrazil

Personalised recommendations