Mathematical poetic structures: The sound shape of collaboration

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Abstract

This paper outlines a new method of mathematical discourse analysis focused on identifying poetic structures in students’ mathematical conversations. Following the linguistic anthropology tradition inspired by Roman Jakobson, poetic structures refer to any conversational repetition of sounds, words or syntax; this repetition draws attention to the form of the message. In mathematical conversations, poetic structures can express patterns, rhythms, similarities or dissimilarities associated with a task. Methodological dilemmas associated with identifying and representing poetic structures and pragmatic responses are highlighted. An analysis of a nine minute algebraic problem-solving conversation revealed eight types of mathematical poetic structures that collectively assisted all of the students’ vital mathematical insights. The paper aims to demonstrate that poetic analysis of mathematical conversations can bridge the illusory distinction between mathematical discourse and mathematical reasoning.

Original languageEnglish (US)
Article number100846
JournalJournal of Mathematical Behavior
Volume62
DOIs
StatePublished - Jun 2021

Bibliographical note

Publisher Copyright:
© 2021 Elsevier Inc.

Keywords

  • Collaborative problem-solving
  • Conversational repetition
  • Language as a resource
  • Multimodal mathematics discourse
  • Poetic structures

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