Definition
Dialogic teaching and learning refers to certain qualities in the interaction between teachers and students and among students. The qualities concern possibilities for the students’ involvement in the educational process, for establishing enquiry processes, and for developing critical competencies.
Characteristics
Sources of Inspiration
There are different sources of inspiration for bringing dialogue into the mathematics classroom, and let me just refer to two rather different.
The notion of dialogue plays a particular role in the pedagogy of Paulo Freire. He sees dialogue as crucial for developing literacy, which refers to a capacity in reading and writing the world: reading it, in the sense that one can interpret sociopolitical phenomena, and writing it, in the sense that one becomes able to make changes.
With explicit reference to mathematics, the crucial role of dialogue can be argued with allusion to Imre Lakatos’ presentation in Proof and Refutations (Lakatos 1976)....
References
Alrø H, Johnsen-Høines M (2012) Inquiry – without posing questions? Math Enthus 9(3):253–270
Alrø H, Skovsmose O (2002) Dialogue and learning in mathematics education: intention, reflection, critique. Kluwer, Dordrecht
Ernest P (1998) Social constructivism as a philosophy of mathematics. State University of New York Press, Albany
Frankenstein M (1983) Critical mathematics education: an application of Paulo Freire’s epistemology. J Educ 164:315–339
Freire P (1972) Pedagogy of the oppressed. Penguin Books, Harmondsworth
Gutstein E (2006) Reading and writing the world with mathematics: toward a pedagogy for social justice. Routledge, New York
Hunter R, Cevil M, Herbel-Eisenmann B, Planas N, Wagner D (eds) (2018) Mathematical discourse that breaks barriers and create space for marginalized learners. Sense, Rotterdam
Jaworski B (2006) Theory and practice in mathematics teaching development: critical inquiry as a mode of learning in teaching. J Math Teach Educ 9(2):187–211
Lakatos I (1976) Proofs and refutations: the logic of mathematical discovery. Cambridge University Press, Cambridge
Skovsmose O (2011) An invitation to critical mathematics education. Sense, Rotterdam
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Skovsmose, O. (2019). Dialogic Teaching and Learning in Mathematics Education. In: Lerman, S. (eds) Encyclopedia of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-77487-9_45-2
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DOI: https://doi.org/10.1007/978-3-319-77487-9_45-2
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