Abstract
The aim of this work is to present a study concerning primary and secondary in-service teacher professional development in the perspective of carrying out some innovations related to usual practice. The first results show that one major difference among the teachers groups involved is represented by the voluntary nature as well as by the training duration; the latter would permit the overcoming of a natural resistance to the change. We claim, as a base of our work, the need and the pertinence of a debate on the necessity of comparative studies concerning the teacher’s position according to the results of the pedagogical, psychological and sociological research on the role of the teacher.
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Notes
- 1.
In the scope of the activities of the “Centre of Research and Experimentation in Mathematics Education” (Centro di Ricerca e Sperimentazione dell’Educazione Matematica - CRSEM http://cli.sc.unica.it/crsem/) established in 1980 at the Department of Mathematics and Information Technology of the University of Cagliari.
- 2.
We distinguish between the teacher’s and student’s position to indicate the system’s element and not the institutional roles. In the analysis of teaching practices (also in relation to multimedia learning environments) who undertakes the teacher’s position can be a peer , a tutor or a specific practice, also in ITC or e-learning . With regards to this, read the chapter by Albano G. (2017) in this volume.
- 3.
“Milieu ” in the terminology introduced by Brousseau (1986).
- 4.
These examples are more pertinent in Italian since in this language these words are a single term (maremoto, mareggiata, ammaraggio).
- 5.
In the group G1 of teachers under training who worked with us, the same phenomenon appeared in the case of training on astronomy contents, which were not part of their background .
- 6.
Knowing concerning students in E i position completes the model, presented by Comiti et al. (1995).
- 7.
The term noosphere is used here in the sense of Chevallard (1985). In this context it indicates, more precisely , a teacher’s certainties on a cultural, epistemological and institutional level on a certain mathematics subject .
- 8.
In Brousseau’s sense .
- 9.
http://www.indire.it/
- 10.
http://risorsedocentipon.indire.it/offerta_formativa/f/index.php?action=home&area_t=f& d_ambiente=7
- 11.
- 12.
- 13.
- 14.
I thank G. Deiana, M.G. Sciabica, I. Arthemalle (who have developed the activities) and teacher S. Deplano (trainer during the Course).
- 15.
I thank M. Alberti, who accepted to describe here training experience also personally during the presentation of this work during the CIEAEM65 . A synthesis of the activities realized in the third, fourth and fifth classes of the primary school can be found on the CRSEM website.
- 16.
S stands for a given knowledge.
References
A. A (2009a). Attività di monitoraggio, PON MATEMATICA - CORSO 1, Report finale, Giugno 2009 http://www.liceovallone.gov.it/vecchio/M@t.abel/Monitoraggio_2007.08.pdf
A. A (2009b). Attività di monitoraggio, PON MATEMATICA - CORSO 2, Report finale, Dicembre 2009 http://www.liceovallone.gov.it/vecchio/M@t.abel/Monitoraggio_2008.09.pdf
A. A (2010). INVALSI M@t.abel, Rapporto di analisi dei diari di bordo http://www.invalsi.it/invalsi/ri/matabel/Documenti/Report_Diari_di_bordo.pdf
A. A (2012) M@t.abel project, INDIRE – ANSAS http://mediarepository.indire.it/iko/uploads/allegati/M7PWITOE.pdf
Albano, G. (2017). e-mathematics engineering for effective learning. In G. Aldon, F. Hitt, L. Bazzini, & U. Guellert (Eds.), Mathematics and technology, a CIEAEM sourcebook. Cham: Springer.
Artigue, M. (2012). Challenges in basic mathematics education. Paris: UNESCO.
Artigue, M., Lai, S., Polo, M., & Veillard, L. (2002). Le milieu: Groupe d’étude avancé di cours. In J. L. Dorier (Ed.), XIe Ecole d’Eté de Didactique de Mathématique (pp. 157–166). Grenoble: La Pensée Sauvage.
Artigue, M., Kidron, I., Bosch, M., Dreyfus, T., & Haspekian, M. (2014). Context, Milieu, and Media-Milieus Dialectic: A case study on networking of AiC, TDS, and ATD. In A. Bikner-Ahsbahs & S. Prediger (Eds.), Networking of theories as a research practice in mathematics education (pp. 153–177). New York: Springer.
Arzarello, F., Robutti, O., Sabena, C., Cusi, A., Garuti, R., Malara, N. A., & Martignone, F. (2014). Meta-didactical transposition: A theoretical model for teacher education programmes. In A. Clark-Wilson, O. Robutti, & N. Sinclair (Eds.), The mathematics teacher in the digital era: An international perspective on technology focused professional development (pp. 347–372). Dordrecht: Springer.
Assude, T., & Grugeon, B. (2003). Enjeux et développements d’ingénieries de formation des enseignants pour l’intégration des TICE. Paper presented at Congrès ITEM, 20-22 June, Reims.
Assude, T., & Loisy, C. (2008). La dialectique acculturation/déculturation au cœur des systèmes de formation des enseignants aux TIC. Informations, Savoirs, Décisions et Médiations, 32, n.p.
Assude, T., Mercier, A., & Sensevy, G. (2007). L’action didactique du professeur dans la dynamique des milieux. Recherche en Didactique des Mathématiques, 27(2), 221–252.
Ball, D. L., & Bass, H. (2003). Toward a practice-based theory of mathematical knowledge for teaching. In B. Davis & E. Simmt (Eds.), Proceedings of the 2002 annual meeting of the Canadian Mathematics Education Study Group (pp. 3–14). Edmonton: CMESG/GDEDM.
Ball, D. L., Hill, H. H., & Bass, H. (2005). Knowing mathematics for teaching: Who knows mathematics well enough to teach third grade, and how can we decide? American Educator, 29(1), 14–46.
Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59(5), 389–407.
Brousseau, G. (1986). Fondements et méthodes de la didactique des mathématiques. Recherche en Didactique des Mathématiques, 7(2), 33–115.
Chevallard, Y. (1985). La transposition didactique. Grenoble: La Pensée Sauvage.
Chevallard, Y. (1999). L’analyse des pratiques enseignantes en théorie anthropologique du didactique. Recherche en Didactique des Mathématiques, 19(2), 221–266.
Cobb, P. (1997). Descrizione dell’apprendimento matematico nel contesto sociale della classe. L’Educazione Matematica, 2(2), 65–81 &, 2(3), 124–142.
Comiti, C., Grenier, D., & Margolinas, C. (1995). Niveaux de connaissances en jeu lors d’interactions en situation de classe et modélisation de phénomènes didactiques. In A. Arsac, J. Gréa, D. Grenier, & A. Tiberghien (Eds.), Différents types de savoirs et leur articulation (pp. 93–127). Grenoble: La Pensée Sauvage.
Even, R., & Ball, D. L. (Eds.). (2009). The professional education and development of teachers of mathematics. Dordrecht: Springer.
Korthagen, F. A. J. (2001). Linking practice and theory: The pedagogy of realistic teacher education. Paper presented at the annual AERA meeting, 10-14 April, Seattle.
Korthagen, F. A. J., & Vasalos, A. (2005). Levels in reflection: Core reflection as a means to enhance professional growth. Teachers and Teaching: Theory and Practice, 11(1), 47–71.
Lai, S. (2003). Phénomènes didactiques et dynamiques relationnelles: Une intégration possible: L’étude d’un cas d’observation de classes ordinaires. CD supplementary to Actes de la XIème Ecole d’Eté de Didactique de Mathématique. Grenoble: La Pensée Sauvage.
Lai, S., & Polo, M. (2002). Un outil théorique d’analyse de la contingence: Le concept de milieu a l’épreuve. CD supplementary to Actes de la XIème Ecole d’Eté de Didactique de Mathématique. Grenoble: La Pensée Sauvage.
Lai, S., & Polo, M. (2012). Construction d’une culture scientifique pour tous: Engagement de l’enseignant et de l’élève dans la rupture de pratiques habituelle. In J.-L. Dorier & S. Coutat (Eds.), Enseignement des mathématiques et contrat social: Enjeux et défis pour le 21e siècle (pp. 1213–1226). Geneva: Université de Genève.
Margolinas, C. (2004). Point de vue de l’élève et du professeur: Essai de développement de la théorie des situations. Unpublished Habilitation thesis, Université de Provence, Aix-Marseille I.
Polo, M. (2002). Verso un modello di analisi della pratica didattica: Il caso di un percorso di insegnamento/apprendimento su contenuti di geometria nella scuola elementare. In N. Malara, C. Marchini, & G. Navarra (Eds.), Processi innovativi per la matematica nella scuola dell’obbligo (pp. 237–251). Bologna: Pitagora.
Polo, M. (2008). Processi decisionali dell’insegnante: Analisi di vincoli specifici dell’insegnare matematica. Paper presented at XVIII Congresso UMI, 24-26 September, Bari.
Polo, M., Alberti, M., Cirina, L., & Saba, S. (2008). La gestione di una situazione di classe: Uno studio sulla moltiplicazione in seconda primaria. L’Educazione Matematica, 29(1), 8–24 & 29(2), 1–6.
Radford, L., & Demers, D. (2006). Comunicazione e apprendimento. Bologna: Pitagora.
Robert, A. (2007). Stabilité des pratiques des enseignants de mathématiques (second degré): Une hypothèse, des inférences en formation. Recherches en Didactique des Mathématiques, 27(3), 271–312.
Ruthven, K. (2014). Frameworks for analysing the expertise that underpins successful integration of digital technologies into everyday teaching practice. In A. Clark-Wilson, O. Robutti, & N. Sinclair (Eds.), The mathematics teacher in the digital era: An international perspective on technology focused professional development (pp. 373–394). Dordrecht: Springer.
Shulman, L. S. (1987). Knowledge and teaching: Foundations of the new reform. Harvard Educational Review, 57, 1–22.
Sensevy, G., Mercier, A., & Schubauer-Leoni, M. L. (2000). Vers un modèle de l’action didactique du professeur. Recherche en Didactique des Mathématiques, 20(3), 264–304.
Vygotskij, L. (1990). Pensiero e linguaggio. Roma: La Terza.
Wenger, E. (1998). Communities of practice: Learning, meaning, and identity. Cambridge: Cambridge University Press.
Wilson, A. C., Aldon, G., Cusi, A., Goos, M., Haspekian, M., Robutti, O., & Thomas, M. (2014). The challenges of teaching mathematics with digital technologies: The evolving role of the teacher. Proceedings PME, 38(1), 87–116.
Wood, T. (Ed.). (2008). The international handbook of mathematics teacher education. Rotterdam: Sense.
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Polo, M. (2017). The Professional Development of Mathematics Teachers: Generality and Specificity. In: Aldon, G., Hitt, F., Bazzini, L., Gellert, U. (eds) Mathematics and Technology. Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-51380-5_23
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