Concept maps capture knowledge about the concepts and concept relationships in a domain, using a two-dimensional visually-based representation. Computer tools for concept mapping empower experts to directly construct, navigate, share, and criticize rich knowledge models. This paper describes ongoing research on augmenting concept mapping tools with systems to support the user by proactively sug...

Traditionally, concepts are assumed to be situational invariant mental knowledge entities (conceptual stability), which are represented in a unitary brain system distinct from sensory and motor areas (amodality). However, accumulating evidence suggests that concepts are embodied in perception and action in that their conceptual features are stored within modality-specific semantic maps in the s...

In this case, the authors propose a pathway of visual mapping through which the science education system from professional educators who produce representations of national and state standards to curriculum coordinators at the school district level to individual teachers and students in the classroom could be aligned in order to promote meaningful learning of a connected set of concepts. Concep...

We use the conceptual idea of “maps on orbifolds” and the theory of the nonEuclidian crystallographic groups (NEC groups) to enumerate rooted and unrooted maps (both sensed and unsensed) on surfaces regardless of genus. As a consequence we deduce a formula for the number of chiral pairs of maps. The enumeration principle used in this paper is due to A. D. Mednykh (2006), it counts the number of...