A funçao quadráticavariaçao, transparência e duas tipologias de exemplos

  1. Figueiredo, Carlos Alberto Abrantes de
  2. Contreras González, Luis Carlos
Revista:
Avances de investigación en educación matemática

ISSN: 2254-4313

Año de publicación: 2013

Número: 3

Páginas: 45-68

Tipo: Artículo

DOI: 10.35763/AIEM.V0I3.62 DIALNET GOOGLE SCHOLAR lock_openDialnet editor

Otras publicaciones en: Avances de investigación en educación matemática

Referencias bibliográficas

  • Blanco L. J., Figueiredo, C. A., Contreras, L. C., & Mellado, V. (2010). The use and classification of examples in learning the concept of function: A case study. In R. V. Nata (Ed.), Progress in Education 9, (pp. 129-156), New York, USA: Nova Publishers.
  • Bills, L., Dreyfus, T., Mason, J., Tsamir, P., Watson, A., & Zaslavsky, O. (2006). Exemplification in Mathematics Education. In J. Novotna, H. Moraová, M. Krátká, & N. Stehlíková (Eds.), Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 126-154). Prague, Czech Republic: PME
  • Bills, L., & Watson, A. (2008). Editorial introduction. Educational Studies in Mathematics, 69(2), 77-79.
  • Figueiredo, C. A. (2010). Los Ejemplos en Clase de Matemáticas de Secundaria como Referente del Conocimiento Profesional. (Tese de Doutoramento), Universidad de Extremadura, Badajoz, Espanha.
  • Lesh, R., Behr, M., & Post, T. (1987). Rational number relations and proportions. In C. Janvier (Ed), Problems of Representation in the Teaching and Learning of Mathematics (pp. 41- 58). Hillsdale, New Jersey, USA: Lawrence Erlbaum.
  • Marton, F., & Booth, S. (1997). Learning and Awareness. Hillsdale, USA: Lawrence Erlbaum.
  • Marton, F., Runesson, U., & Tsui, A. (2003). The space of learning. In F. Marton & A. Tsui (Eds.), Classroom discourse and the space of learning. Mahwah, NJ: Lawrence Erlbaum.
  • Mason, J. (2005 não publicado). What is Exemplified in Mathematics Classrooms? Descarregado em Maio de 2006 da página: http://mcs.open.ac.uk/jhm3/OtherPapers/Mason%202005%20What%20is%20Eg%27d.
  • Mason, J. (2011a). Explicit and Implicit Pedagogy: variation theory as a case study. In C. Smith (Ed.), Proceedings of the British Society for Research into Learning Mathematics, 31(3), 107-112.
  • Mason, J. (2011b). Phenomenology of Example Construction. ZDM, 43(2), 195-204.
  • Mason, J., & Watson, A. (2005). Mathematical Exercises: what is exercised, what is attended to, and how does the structure of the exercises influence these? Invited Presentation to SIG on Variation and Attention. EARLI, Nicosia.
  • Mishra, P., & Koehler, M. J. (2006). Technological Pedagogical Content Knowledge: A framework for teacher knowledge. Teachers College Record 108, 1017-1054.
  • Rowland, T. (2008). The purpose, design and use of examples in the teaching of elementary mathematics. Educational Studies in Mathematics, 69(2), 149-163.
  • Strauss, A., & Corbin, J. (1990). Basics of qualitative research, London, Sage.
  • Watson, A., & Mason, J. (2004). The Exercise as Mathematical Object: Dimension of Possible Variation in Practice. Proceedings of the 24th Conference of the British Society of Research in Learning Mathematics, (Vol. 2, pp. 107-112). Leeds, U.K.: BSRLM.
  • Watson, A., & Mason, J. (2005). Mathematics as a constructive activity: Learners generating examples. Mahwah, NJ, USA: Lawrence Erlbaum Associates.
  • Watson, A., & Mason, J. (2006). Seeing an exercise as a single mathematical object: using variation to structure sense-making. Mathematics Thinking and Learning, 8(2), 91-111.
  • Watson, A., & Chick, H. (2011). Qualities of examples in learning and teaching. ZDM, 43(2), 283-294.
  • Zaslavsky, O. (2010). The explanatory power of examples in mathematics. Challengs for teaching. In M. K. Stein, & L. Kucan (Eds.), Instructional explanations in the disciplines. New York, USA: Springer.
  • Zaslavsky, O., & Lavie, O. (2005). Teachers’ use of instructional examples. Paper presented at the 15th ICMI study conference: The Professional Education and Development of Teachers of Mathematics. Águas de Lindóia, Brazil.
  • Zaslavsky, O., Harel, G., & Manaster, A. (2006). A teacher’s treatment of examples as reflection of her knowledge-base. In J. Novotná, H. Moraová, M. Krátká, & N. Stehlíková http://mcs.open.ac.uk/jhm3/OtherPapers/Mason%202005%20What%20is%20Eg%27d (Eds.), Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. (Vol. 5, pp. 457–464) Prague, Czech Republic.
  • Zazkis, R. (2005) Representing numbers: prime and irrational. International Journal of Mathematical Education in Science and Technology, 36(2-3), 207-217.
  • Zazkis, R., & Gadowsky, K. (2001). Attending to transparent features of opaque representations of natural numbers. In A. Cuoco (Ed.), NCTM 2001 Yearbook: The roles of representation in school mathematics (pp. 41-52). Reston, VA, USA: NCTM.
  • Zazkis, R., & Liljedahl, P. (2004). Understanding primes: The role of representation. Journal for Research in Mathematics Education, 35(3), 164–186.
  • Zazkis, R & Sirotic, N. (2004). Making sense of irrational numbers: Focusing on representation. In M.J. Hoines, & A.B. Fuglestad (Eds.), Proceedings of 28th International Conference for Psychology of Mathematics Education. (Vol. 4, pp. 497-505). Bergen, Norway.
  • Zodik, I., & Zaslavsky, O. (2007). Exemplification in the mathematics classroom: what is it like and what does it imply? Paper presented at the 5th Conference of the European Society for Research in Mathematics Education (CERME5), Larnaka, Cyprus.