RAZLIČITI TEORIJSKI ASPEKTI U ISTRAŽIVANJU NASTAVE MATEMATIKE
Кључне речи:
aspekti istraživanja matematičkog obrazovanja, principijelno-filozofski stavovi u istraživanu matematičkog obrazovanja, teorije matematičkog obrazovanjaАпстракт
Osnovno pitanje u ovom članku jeste kako se nositi sa raznolikošću i bogatstvom postojećih teorija pri podučavanju i učenju matematike. U okviru teme ,,Različite teoretske perspektive istraživanja u nastavi matematike od problema u predavanju do problema u istraživanju“, ukazaćemo na to zašto različitost teoretskih okvira predstavlja izazov za akademsku zajednicu matematičara, realizatora nastave matematike i istraživača matematičkog obrazovanja. Zatim, navešćemo neke važne aspekte i pitanja koja su nastala u diskusiji Radnih grupa na konferencijama ERME-a, (CERME 3 (2003) – CERME 6(2009)) kao što su: problem skrivenih pretpostavki, individualno/društveno dejstvo i izazov za konstruktivizam i pretpostavke vezane za prirodu matematičkog saznanja koje su ključne za analizu sličnosti i razlika meñu teoretskim pristupima. Biće riječi i o povezivanju tih teoretskih pristupa, odnosno o strategijama umrežavanja za povezivanje teoretskih pristupa, kao i o umrežavanju u različitim profilima.
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Референце
Marcus Arnold and Roland Fischer (eds): Disziplinierungen. Kulturen der Wissenschaft im Vergleich [Disciplines. Sciences as cultures in comparison]. Wien : Turia & Kant. 2004
Michèle Artigue, Mariolina Bartolini Bussi, Tommy Dreyfus, Eddie Gray, Susanne Prediger, Different theoretical perspectives and approaches in research in mathematics education, CERME 4 (2005), WG11, 1239-1243
Ferdinando Arzarello, Marianna Bosch, Agnès Lenfant, Susanne Prediger, Different theoretical perspectives in research from teaching problems to research problems, CERME 5 (2007), WG11, 1618-1627
Ferdinando Arzarello, Angelika Bikner-Ahsbahs, & Cristina Sabena: Complementary Networking: Enriching Understanding, CERME 6(2009), wg9, 13-22
Angelika Bikner-Ahsbahs: Mathematikinteresse zwischen Subjekt und Situation [Interest in Mathematics between Subject and Situation]. Hildesheim: Verlag Franzbecker, 2004.
Angelika Bikner-Ahsbahs: Crossing the Border – Integrating Different Paradigms and Perspectives. Proceedings of CERME 4 (2005).
Angelika Bikner-Ahsbahs & Susanne Prediger, Diversity of Theories in Mathematics Education – How can we deal with it?, ZDM, Vol. 38 (1)(2006), 52-57
Alan J.Bishop: International Perspectives on Research in Mathematics Education. In D. A. Grouws (ed). Handbook of Research on Mathematics Teachin and Learning. New York, Oxford: Macmillon Publishing Company, 1992, 710-723.
Wolfgang Brezinka: Meta-Theory of Education, European Contribution for an Empirical – Analitic Point of View; International Journal of Educology, 19(1)(2005), 7-26
Wilhem Dilthey: Einleitung in die Geisteswissensvhaften, [Introduction to the human sciences] Original 1883, 9th edition, (1990). Stuttgart: Vandenhoeck & Ruprecht.
Ed Dubinski and Michael A. McDonald: APOS: A Constructivist Theory of Learning in Undergraduate Mathematics Education Research; ICMP paper, 1-22 (preprint)
Lyn English & Bharath Sriraman: Theories of Mathematics Education: A global survey of theoretical frameworks / trends in mathematics education research. ZDM, 37 (6)(2005), 450-456.
Lyn English & Bharath Sriraman: RF04: Theories of Mathematics Education; In: Chick, H. L. & Vincent, J. L. (Eds.). Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education, 2005, Vol. 1, pp. 170-202.
Lyn English & Bharath Sriraman: Theories of mathematics Education, Seeking New Fropntirs, Springer, Heidelberg, Dordrecht, London and New York 2010.
Paul Ernest, Susanne .Prediger and Maria Viggiani-Bicudo: Philosophy of Mathematics Education – Strands and Issues. in: N.Mogens (ed.), Proceedings of the 10th International Congress on Mathematics Education 2004, Copenhagen. IMFUFA, Roskilde University, Roskilde, 2008, pp. 438-444.
Ruhama Even and Baruch Schwarz: Implications of competing interpretations of practice for research and theory in mathematics education. Educational Studies in Mathematics Education 54 (2-3)(2003), 283-313.
Roland Fischer: Wissenschaft, Argumentation und Widerspruch [Science, argumentation and contradiction]. In R. Fischer et al. (eds). Argumentation und Entscheidung. Zur Idee und Organisation von Wissenschaft. Wien-München: Profil, 1993, 29-43.
Norbert E.Groeben and al. : Das Forschungsprogramm Subjektive Theorien. Eine Einführung in die Psychologie des refleksiven Subjekts [The research program subjective theories. An introduction to the psychology of the reflexive subject]. Tübingen Francke, 1988.
Guershon Harel and Kien H.Lim: Mathematics Teacher’s Knowledge Base: Prelimery results. Proceedings of the 28th Conference on PME (2004), 25-32
Hans W.Heyman, Why Teach Mathematics: A Focus on General Education. Dordrecht: Kluwer, 2003
Michael H.G. Hoffmann and Wolf-Michael Roth: Learning by Developing Knowledge networks. ZDM, 36 (6)(2004), 196-205.
Barbara Jaworski, Inquiry as a pervasive pedagogic process in mathematics education development, CERME 3 (2003), TG 11, 1-10
Djorñe Kadijević: Towards Basic Standards for Research in Mathematics Education; The Teaching of Mathematics, VIII (2005), Broj 2, 73–81
Götz Krummheuer (1995): The Ethnolgraphy of Argumentation. In Cobb, Paul & Beuersfeld, Heinrich (eds). The Emergence oh Mathematical Meaninig: Interaction in Classroom Cultures. Hillsdale, New Jersey: Lawrence Erlbaum Associates, 229-269.
Götz.Krummheuer: Paraphrase und Tradktion. Weinheim: Beltz Verlag, 2001.
Stephen Lamnek: Qualitative Sozialforschung. Bd, 1, Methodologie [Qualitative social research, vol. 1, methodology]. Wienheim: Beltz 1995
John Mason and Andrew Waywood: The role of the theory in mathematics education and research. In A.J. Bishop et al. (eds). International Handbook of Mathematics Education, Kluwer: Dordrecht, 1996, 1055-1089.
John Mason: Discerning in and between theories in mathematics education; CERME 7 (2009), WG 16, pp. 1-10
Susanne Prediger: Intercultural Perspectives on Mathematics Learning – Developing a Theoretical Framework. International Journal of Science and Mathematics Education 2(3) (2004), 377- 406.
Luis Redford: Connecting theories in mathematics education: challenges and possibilities; ZDM Mathematics Education, 40 (2008), 317–327
Luis Redford: Teorije u matemaičkom obrazovanju: Jedna kratka studija o njihovim konceptualnim razlikama; IMO, Vol. I (2009), Broj 1, 11-22
David A. Reid: Enactivism as a Methodology. In L. Puig & A Gutierez, (eds). Proceeding of the 29th Conference of the PME (1996), Vol. 4, 203-210.
Kristin E. Reedal: Jean Piaget’s Cognitive Development Theory in Mathematics Education; 2010 Senior Seminar: Cognitive Development and the Learning of Mathematics, May 2010, pp. 16- 20, Rippon College, http://ripon.edu/macs/summation
Daniel A.Romano: Istraživanje matematičkog obrazovanja; IMO, Vol. I (2009), Broj 1, 1-10
Daniel A.Romano : Metodika matematike – naučna disciplina ? V Symposium “Technology, Informatics and Education for Learning and Knowledge Society”, Novi Sad, 19-20.06.2009. Centar za primenu nauke, tehnologije i informatike Novi Sad, Novi Sad 2010, Knjiga 1, 455- 468
Daniel A.Romano: Matematika, Metodika matematike i Istraživanje matematičkog obrazovanja – tri srodna a tako različita domena; IMO, Vol. II (2010), Broj 2, 3-10
Daniel A.Romano i Vladan Todic: Nekoliko napomena o odnosu teorija i prakse matematičkog obrazovanja učitelja; IMO, Vol. III (2011), Broj 4, 5-16
Alan H.Schoenfeld: Research methods in (mathematics) education. In: L.D. English (ed) Handbook of internationalresearch in mathematics education. 2nd edition, Taylor and Francis, NY 2008, 467-519.
Alan H.Schoenfeld: Namjere i metode u istraživanju matematičkog obrazovanja, IMO, Vol. III (2011), broj 4, 23-34
Lynn Arthur Steen: Theories that Gyre and Gimble in the Wabe; Journal for Research in Mathematics Education. Vol. 30, No. 2, 1999, 235-241
Stephen Lerman, Theories of mathematics education: Is plurality a p roblem?, ZDM, Vol. 38 (1)(2006), 8-13
Bharath Sriraman, Theories of mathematics education: European perspectives, commentaries and viable research directions, ZDM, Vol. 38 (1)(2006), 1-2
Bharath Sriraman, Lyn D. English, Theories of Mathematics Education1: A global survey of theoretical frameworks/trends in mathematics education research, ZDM, Vol. 37 (6) (2005), 450-456
Anna Sierpinska and Stephen Lerman: Epistemologies of Mathematics and of Mathematics Education. In: A.J. Bishop, K. Clements, C. Keitel, J. Kilpatrick and C. Laborde (eds.) International Handbook of Mathematics Education. Dordrecht: Kluwer 1996. (pp. 827-876)
Anna Sierpinska and Jeremy Kilpatrick (eds): Mathematics Education as a Research Domain: A Search for Identity; Kluwer Academic Publisher, Dordrecht, Boston and London, 1998.
Günter Tőrner i Barath Sriraman: A contemporary analysis of the six “Theories of Mathematics Education” theses of Hans-Georg Steiner’ ZDM, 39(1-2)(2007), 155-163
Dieter Ulich: Pädagogische Interaktion. Theorien erzieherischen Handelns und sozialen Lernens [Pedagogical Interactions. Theories of educational action and social learning]. Wienheim, Basel: Beltz, 1976.
