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

Anderson Norton

• 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.