Two experiments examined the role of numerical distance in updating numerical information in working memory. In the first experiment, participants had to memorize a new number only when it was smaller than a previously memorized number. In the second experiment, updating was based on an external signal, which removed the need to perform any numerical comparison. In both experiments, distance between the memorized number and the new one was manipulated. The results showed that smaller distances between the new and the old information led to shorter updating times. This graded facilitation suggests that the process by which information is substituted in the focus of attention involves maintaining the shared features between the new and the old number activated and selecting other new features to be activated. Thus, the updating cost may be related to amount of new features to be activated in the focus of attention.
Keywords Working memory . Updating . Numerical distanceUpdating is a process which allows people to replace and modify the content of working memory (WM) in order to hold new information (Morris & Jones, 1990), and it is considered a fundamental executive function in cognitive architecture (Miyake, Friedman, Emerson, Witzki, & Howerter, 2000). To investigate this process, tasks have been designed which involved simultaneously maintaining different elements in memory, some of which have to be replaced by new information. Many studies have examined the mechanisms involved in the selective access to the content of WM or in replacing outdated information (Garavan, 1998 . However, little study has been given to the possible role played by the relationship between the information maintained in memory and the new information that replaces it. This study aims to address this question by investigating how the numerical distance between the stored and the new numerical information influences the updating process.Updating tasks have been used to study selective access in WM since Garavan (1998) introduced the double counter task. In this task, participants had to keep two counters in memory for two different figures. Participants updated the appropriate mental count by adding one unit when the corresponding figure was presented. Garavan's main finding was that the time used to update the information was longer when there was a switch from one counter to the other, that is, when the counter to be updated was different from the counter previously updated. These results suggest that people do not have simultaneous access to all of the content of WM, but can only attend to one stimulus at a time. This effect fits the theoretical models which conceive WM as a hierarchical system of active representations in long-term memory (Cowan, 1995;Oberauer, 2002). In this system, Oberauer (2002) has proposed the existence of a focus of attention in WM which maintains the representation which a person is aware of at a given moment and on which the next