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PROBLEM SOLVING WITH TECHNOLOGY: MULTIPLE PERSPECTIVES ON MATHEMATICAL CONJECTURING

Abstract

Research on technology and mathematics education has been a longstanding interest of the PME community. In this paper we revisit the interplay between technology and conjecturing within the process of problem-solving with an intention to capture different aspects of the processes in which students make and explore mathematical conjectures, and roles that both technology and teachers can play in this process. The focus is two-fold: first, to discuss different interpretations of conjectures and conjecturing within mathematics education, as reflected selected current works in mathematics education research; and second, to offer a discussion on progress in the implementation of these ideas with considerations of developments in technology, and our wider understandings of the role of the teachers.

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