Josh's Operational Conjectures: Abductions of a Splitting Operation and the Construction of New Fractional Schemes

• Autores: Anderson Norton
• Localización: Journal for research in mathematics education, ISSN 0021-8251, Vol. 39, Nº 4, 2008, págs. 401-430
• Idioma: inglés
• DOI: 10.5951/jresematheduc.39.4.0401
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• Resumen

  • This article reports on students' learning through conjecturing, by drawing on a semester-long teaching experiment with 6 sixth-grade students. It focuses on 1 of the students, Josh, who developed especially powerful ways of operating over the course of the teaching experiment. Through a fine-grained analysis of Josh�s actions, this article integrates Piaget's scheme theory (1950/2001) and Peirce�s logic of abduction (1998) into a new theory about conjecturing that explains Josh�s learning.