Abstract
This paper examines the mechanisms by which students’ cultural background plays an active role in the study of mathematics. It does so with the aid of two main constructs: hybrid discourse and intellective identities. At the center of the article is an analysis of a classroom episode from a preparatory program in which adult ultra-orthodox Jews study high school mathematics for the first time. We show how different cultural resources, among them students’ cultural preference for disagreement, are being used to create a new hybrid discourse of mathematics and the Talmud while discussing the veracity of a mathematical proof. The hybridity can be seen in four characteristics of discourse: routines for endorsement of narratives, interactional routines, authority structure, and purpose of learning. We elaborate on the process by which this hybridity is constructed through students’ positioning actions and the ways in which these positions are supported by students’ intellective identities.
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Notes
All names are pseudonyms
The first author worked as an instructor in such classrooms for several years, both in the Ultra-Orthodox college and in mainstream university and college settings.
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Acknowledgements
The authors wish to thank Prof. Uri Onn, Prof. Adam Lefstein, Prof. Ted Eisenberg, and Mr. Lior Ehrenfeld for their helpful commentary on different versions of this work.
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Portions of this work were previously published in Ehrenfeld N., Heyd-Metzuyanim E. & Onn U. (2015). Between Mathematics and Talmud – the construction of a hybrid discourse in an ultra-orthodox classroom. In Beswick, K., Muir, T., & Wells, J. (Eds.). Proceedings of 39th Psychology of Mathematics Education conference, Vol. 2, pp. 257–265. Hobart, Australia: PME.
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Ehrenfeld, N., Heyd-Metzuyanim, E. Intellective Identities in the Construction of a Hybrid Discourse: the Case of an Ultra-Orthodox Jewish Mathematics Classroom. Int J of Sci and Math Educ 17, 739–757 (2019). https://doi.org/10.1007/s10763-018-9885-z
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DOI: https://doi.org/10.1007/s10763-018-9885-z