Building the body: Active learning laboratories that emphasize practical aspects of anatomy and integration with radiology

Active learning exercises were developed to allow advanced medical students to revisit and review anatomy in a clinically meaningful context. In our curriculum, students learn anatomy two to three years before they participate in the radiology clerkship. These educational exercises are designed to review anatomy content while highlighting its relevance to the study of radiology. Laboratory exercises were developed using inexpensive materials in the form of hands‐on stations designed for use by students working together in small groups. Station exercises include model building, exploring relevant radiological imaging, and practicing clinical techniques. Students are encouraged to move from abstract conceptualization of the anatomy using models to applying knowledge to living tissues by using a portable ultrasound to explore superficial anatomy on each other. Stations are designed to integrate knowledge and reemphasize concepts in different contexts, so that upon completion students have a reinforced understanding of the three‐dimensional anatomy of the region in question, the appearance of the anatomy on radiological images, and an appreciation of the relevance of the anatomy to radiological procedures. Anat Sci Educ, 2010 © 2010 American Association of Anatomists.     

Zooming in on infinitesimal 1–.9.. in a post-triumvirate era

The view of infinity as a metaphor, a basic premise of modern cognitive theory of embodied knowledge, suggests in particular that there may be alternative ways in which one could formalize mathematical ideas about infinity. We discuss the key ideas about infinitesimals via a proceptual analysis of the meaning of the ellipsis “...” in the real formula (hbox{.999ldots = 1}). Infinitesimal-enriched number systems accommodate quantities in the half-open interval [0,1) whose extended decimal expansion starts with an unlimited number of repeated digits 9. Do such quantities pose a challenge to the unital evaluation of the symbol “.999...”? We present some non-standard thoughts on the ambiguity of the ellipsis in the context of the cognitive concept of generic limit of B. Cornu and D. Tall. We analyze the vigorous debates among mathematicians concerning the idea of infinitesimals.