Meta-emotion and Mathematical Modeling Processes in Computerized Environments

Referencias bibliográficas

• Arcavi, A. (2003). The role of visual representations in the learning of mathematics. Educational Studies in Mathematics, 52(3), 215–224.
• Artigue, M. (2002). Learning mathematics in a CAS environment: The genesis of a reflection about instrumentation and the dialectics between technical and conceptual work. International Journal of Computers for Mathematical Learning, 7(3), 245–274.
• Bodin, A., Coutourier, R., & Gras, R. (2000). CHIC: Classification Hiérarchique Implicative et Cohésive-Version sous Windows–CHIC 1.2, Association pour la Recherche en Didactique des Mathématiques Rennes.
• Cobb, P., Cofrey, J., di Sessa, A., Lehrer, R., & Schauble, L. (2003). Design experiments in educational research. Educational Researcher, 32(1), 9–13.
• De Corte, E., Depaepe, F., Op’t Eynde, P., & Verschaffel, L. (2011). Students’ self-regulation of emotions in mathematics: An analysis of meta-emotional knowledge and skills. ZDM, 43, 483–495.
• de Guzmán, M. (2002). The role of visualization in the teaching and learning of mathematical analysis. In Proceedings of the 2nd international conference on the teaching of mathematics (at the undergraduate level). University of Crete, Greece.
• DeBellis, V. A., & Goldin, G. A. (1997). The affective domain in mathematical problem solving. In E. Pekhonen (Ed.), Proceedings of the PME 21 (Vol. 2, pp. 209–216).
• DeBellis, V. A., & Goldin, G. A. (2006). Affect and meta-affect in mathematical problem solving: A representational perspective. Educational Studies in Mathematics, 63(2), 131–147.
• Demetriou, A., & Kazi, S. (2001). Unity and modularity in the mind and the self. London: Routledge.
• Drijvers, P., Kieran, C., & Mariotti, M. A. (2010). Integrating technology into mathematics education: Theoretical perspective. In C. Hoyles & J. B. Lagrange (Eds.), Mathematics education and technology-rethinking the terrain (pp. 89–132). New York: Springer.
• Duval, R. (2006). A cognitive analysis of problems of comprehension in a learning of mathematics. Educational Studies in Mathematics, 61, 103–131.
• Eisenberg, T. (1994). On understanding the reluctance to visualize. Zentralblatt für Didaktik der Mathematik, 26, 109–113.
• Evans, J. (2000). Adults’ mathematical thinking and emotions: A study of numerate practices. London: Routledge Falmer.
• Forgasz, H. J. (2006). Teachers, equity, and computers for secondary mathematics learning. Journal for Mathematics Teacher Education, 9(5), 437–469.
• Galbraith, P., & Haines, C. (2000). Mathematics-computing attitudes scales (Monographs in continuing education). London: City University London.
• Gliner, J. A., Morgan, G. A., & Leech, N. L. (2009). Sampling and introduction to external validity. In J. A. Gliner, G. A. Morgan, & N. L. Leech (Eds.), Research methods in applied setting: An integrated approach to design and analysis (pp. 115–133). New York: Routledge Taylor & Francis Group.
• Goldin, G. A. (2000). Affective pathways and representation in mathematical problem solving. Mathematical Thinking and Learning, 2(3), 209–219.
• Goldin, G. (2002). Affect, meta-affect, and mathematical belief structures. In G. Leder, R. Pehkonen, & G. Törner (Eds.), Beliefs: A hidden variable in mathematics education? (pp. 59–73). Dordrecht: Kluwer Academic Publishers.
• Goldin, G. A. (2004). Characteristics of affect as a system of representation. In M. Johnsen Hoines & A. B. Fuglestad (Eds.), Proceedings of the PME 28 (Vol. 1, pp. 109–114). Bergen: Bergen University College.
• Goldin, G. A., Roesken, B., & Toerner, G. (2009). Beliefs – No longer a hidden variable in mathematics teaching and learning processes. In J. Maass & W. Schlöglmann (Eds.), Beliefs and attitudes in mathematics education: New research results (pp. 1–18). Rotterdam: Sense Publishers.
• Gómez-Chacón, I. M. (1997). Procesos de aprendizaje en matemáticas con poblaciones de fracaso escolar en contextos de exclusión social: Las influencias afectivas en el conocimiento de las matemáticas. Doctoral dissertation of Universidad Complutense de Madrid (Published in electronic version in 2004).
• Gómez-Chacón, I. M. (2000a). Matemática emocional. Los afectos en el aprendizaje matemático [Emotional mathematics. Affects in mathematics learning]. Madrid: Narcea.
• Gómez-Chacón, I. M. (2000b). Affective influences in the knowledge of mathematics. Educational Studies in Mathematics, 43, 149–168.
• Gómez-Chacón, I. M. (2008). Suggesting practical advances in the research on affect in mathematical learning. In ICME-11, 11th international congress on mathematical education, Monterrey, México.
• Gómez-Chacón, I. M. (2011). Mathematics attitudes in computerized environments. A proposal using GeoGebra. In L. Bu & R. Schoen (Eds.), Model-centered learning: Pathways to mathematical understanding using GeoGebra (pp. 147–170). Rotterdam: Sense Publishers.
• Gómez-Chacón, I. M., & Escribano, J. (2011). Teaching geometric locus using GeoGebra. An experience with pre-service teachers. GeoGebra International Journal of Romania (GGIJRO), 2(1), 209–224.
• Gómez-Chacón, I. M., & Kuzniak, A. (2011). Les espaces de travail Géométrique de futurs professeurs en contexte de connaissances technologiques et professionnelles. Annales de Didactique et de Sciences Cognitives, 16, 187–216.
• Gottman, J. M., Katz, L. F., & Hooven, C. (1997). Introduction to the concept of meta-emotion. In J. M. Gottman, L. F. Katz, & C. Hooven (Eds.), Meta-emotion. New families communicate emotionally (pp. 3–8). Mahwah: Lawrence Erlbaum Associates.
• Gras, R., Peter, P., Briand, H., & Philippé, J. (1997). Implicative statistical analysis. In C. Hayashi, N. Ohsumi, K. Yajima, Y. Tanaka, H. Bock, & Y. Baba (Eds.), Proceedings of the 5th conference of the International Federation of Classification Societies (Vol. 2, pp. 412–419). New York: Springer.
• Guin, D., Ruthven, K., & Trouche, L. (Eds.). (2004). The didactical challenge of symbolic calculators: Turning a computational device into a mathematical instrument. New York: Springer.
• Hannula, M. S. (2002). Attitude towards mathematics: Emotions, expectations and values. Educational Studies in Mathematics, 49(1), 25–46.
• Leder, G. C., Pehkonen, E., & Torner, G. (Eds.). (2002). Beliefs: A hidden variable in mathematics education? Dordrecht: Kluwer.
• Liljedahl, P. (2005). Mathematical discovery and affect: The effect of AHA! experiences on undergraduate mathematics students. International Journal of Mathematical Education in Science and Technology, 36(2–3), 219–236.
• Malmivuori, M. L. (2001). The dynamics of affect, cognition, and social environment in the regulation of personal learning processes: The case of mathematics (Research Report 172). Helsinki: Helsinki University Press.
• Malmivuori, M. L. (2006). Affect and self-regulation. Educational Studies in Mathematics, 63, 149–164.
• McCulloch, A. W. (2011). Affect and graphing calculator use. Journal of Mathematical Behavior, 30, 166–179.
• McLeod, D. B. (1992). Research on affect in mathematics education: A reconceptualization. In D. A. Grouws (Ed.), Handbook of research on mathematics learning and teaching (pp. 575–596). New York: Macmillan.
• McLeod, D. B. (1994). Research on affect and mathematics learning in the JRME: 1970 to the present. Journal for Research in Mathematics Education, 25(6), 637–647.
• Monaghan, J. (2004). Teachers’ activities in technology-based mathematics lessons. International Journal of Computers for Mathematical Learning, 9(3), 327–357.
• Op’t Eynde, P., & Turner, J. E. (2006). Focusing on the complexity of emotion-motivation issues in academic learning: A dynamical, component systems approach. Educational Psychology Review, 18, 361–376.
• Pekrun, R. (2006). The control-value theory of achievement emotions: Assumptions, corollaries, and implications for educational research and practice. Educational Psychology Review, 18(4), 315–341.
• Pierce, R., Stacey, K., & Brakatsas, A. (2007). A scale for monitoring students’ attitudes to learning mathematics with technology. Computer and Education, 48, 285–300.
• Presmeg, N. C. (2006). Research on visualization in learning and teaching mathematics. In Handbook of research on the psychology of mathematics education: Past, present and future. PME 1976-2006 (pp. 205–235). Rotterdam: Sense Publishers.
• Presmeg, N. C., & Bergsten, C. (1995). Preference for visual methods: An international study. In L. Meira, & D. Carraher (Eds.), Proceedings of PME 19 (Vol. 3, pp. 58–65), Recife.
• Rabardel, P. (1995). Les hommes et les technologies. Une approche cognitive des instruments contemporains. Paris: Université Paris 8.
• Schlöglmann, W. (2002). Affect and mathematics learning, In A. D. Cockburn, & E. Nardi (Eds.), Proceedings of the 26th PME (Vol. 3, pp. 185–192), Norwich, UK.
• Schlöglmann, W. (2005). Affect and cognition – Two poles of a learning process. In C. Bergsten & B. Grevholm (Eds.), Conceptions of mathematics. Proceedings of Norma 01 (pp. 215–222). Linköping: Svensk Förening för Matematikdidaktisk Forskning.
• Stylianou, D. Α. (2001). On the reluctance to visualize in mathematics: Is the picture changing? In M. van den Heuvel-Panhuizen (Ed.), Proceedings of the 25th PME (Vol. 4, pp. 225–232). Utrecht: Freudenthal Institute.
• Weiner, B. (1985). An attributional theory of achievement motivation and emotion. Psychological Review, 92(4), 548–573.
• Zan, R., Brown, L., Evans, J., & Hannula, M. S. (2006). Affect in mathematics education: An introduction. Educational Studies in Mathematics, 63(2), 113–121.