The development of diagrammatic logics is strongly motivated by the desire to make formal reasoning accessible to broad audiences. One major research problem, for which surprisingly little progress has been made, is to understand how to choose between semantically equivalent diagrams from the perspective of human cognition. The particular focus of this paper is on choosing between diagrams that represent either the presence or absence of individuals. To understand how to best make this choice, we conducted an empirical study. We (...) found that representing the presence of individuals supported task performance either significantly better than, or no worse than, representing the absence of individuals. The particularly striking feature of our results was that representing the absence of individuals in a way that makes the diagram highly cluttered is detrimental to human cognition. As a result, diagrams with this feature should be avoided, but diagrams using presence or low-cluttered absence can be used to support cognition in the context of the tasks performed in our study. (shrink)

Free rides and observational advantages occur in visualizations when they reveal facts that must be inferred from an alternative representation. Understanding whether these concepts correspond to cognitive advantages is important: do they facilitate information extraction, saving the ‘deductive cost’ of making inferences? This paper presents the first evaluations of free rides and observational advantages in visualizations of sets compared to text. We found that, for Euler and linear diagrams, free rides and observational advantages yielded significant improvements in task performance. For (...) Venn diagrams, whilst their observational advantages yielded significant performance benefits over text, this was not universally true for free rides. The consequences are two-fold: more research is needed to establish when free rides are beneficial, and the results suggest that observational advantages better explain the cognitive advantages of diagrams over text. A take-away message is that visualizations with observational advantages are likely to be cognitively advantageous over competing representations. (shrink)

These essays on the way medieval Arabic philosophy was first introduced into European universities explain their formal working and provide fascinating accounts of the hardy souls who first ventured, literally, into hitherto unknown terrain.

This paper extends the dialogue of educational philosophy to the experience of beginners entering the teaching profession. Rather than impose the ideas of any specific philosopher or theorist, or indeed official standard, the exploration presented here owes its origins to phenomenology and the use of grounded theory. Working from a narrative data base and focussing on the knowing of name in the first instance, the authors develop their emergent ideas on self and identity in relation to children taught, through connection (...) to a wider literature that includes reference to Giddens, Illeris, Deleuze and Heidegger, for example. The paper is thus also an exercise in suggesting that research on practice by academics working in professional education, who are non-philosophers, can lead to constructive and relevant engagement with philosophy in developing theory from and about about practice, even though the approach, in the initial stages, may well be serendipitous and eclectic in nature. (shrink)