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<https://discovery.ucl.ac.uk/id/eprint/10019961> <http://purl.org/ontology/bibo/abstract> "Although diagrams are considered part and parcel of mathematics, mainstream\nmathematicians exhibit prejudice against the use of diagrams in public. Adopting a\nmultimodality social semiotics approach, I consider diagrams as a semiotic mode of\nrepresentation and communication which enable us to construct mathematical\nmeaning. Mathematics is a multimodal discourse, where different modes of\nrepresentation and communication are used, such as (spoken and written) language,\nalgebraic notations, visual forms and gestures. These different modes have different\nmeaning potentials. I suggest an analytic framework that can be used as a tool to\nanalyse the kinds of meanings afforded by diagrams in mathematical discourse,\nfocusing on geometry.\nStarting from characteristics of diagrams identified in the literature, I construct the\nframework using an iterative methodology tested with data from classrooms in the\nUK and the Occupied Palestinian territories and from textbooks. The classroom data\nconsist of approximately 350 written mathematical texts in English and Arabic\nproduced by 13- and 14-year-old students as a response to two geometrical problems,\naccompanied by audio and video records of their verbal and gestural interactions\nwith each other while solving the problems.\nI then present the critical aspects of the development journey of the framework\nfollowed by a discussion of each of the three (meta)functions: ideational,\ninterpersonal and textual. Each of these functions is illustrated by examples of\ndiagrams from mathematical texts collected from the empirical data, textbooks and\nthe Internet. Because I consider mathematics to be a social and cultural practice, I\ndiscuss the issue of culture and language in relation to the meanings of diagrams.\nLastly, I discuss the implications of the study on representation and communication\nin mathematical discourse, with possible applications for the framework in learning\nand teaching mathematics."^^<http://www.w3.org/2001/XMLSchema#string> .
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