Although learning mathematics certainly depends upon accurate understanding of the facts of multiplication, it requires much more. This study examines the relationship between a meaningful understanding of arithmetic operations and the mastery of basic facts. The study began with a joke about a mistaken mathematical fact. The children appreciated…

This article presents an extended version of the convolution-correlation memory model TODAM (theory of distributed associative memory) that eliminates some inadequacies of previous versions and provides a unified treatment of item, associative, and serial-order information. TODAM2 extends the chunking model to provide a general model for episodic…

It is argued that human memory is adaptively designed and that much can be learned by understanding its adaptiveness. The information-retrieval problem is framed, and optimal memory behavior is derived. Applying this framework to the classic free-recall paradigm is discussed. (SLD)

A model of category effects found in reports of episodic memory is proposed. The model holds that stimuli are presented at a fine-grain level of detail and a category. Four experiments involving a total of 131 University of Chicago (Illinois) students and faculty are reported in support of the model. (SLD)

This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…