From Functions as Process to Functions as Object: A Review of Reification and Encapsulation

Burnett-Bradshaw, Camille S.

A qualifying paper submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics Education. Abstract: This qualifying paper explores the processes of reification (Sfard, 1987, 1989, 1991, 1992) and encapsulation (Dubinsky, 1991a, 1991b; Dubinsky & Harel, 1992a), as they apply to the concept of mathematical functions, and attempts to determine how both p... read more

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