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The advancement of a scientific discipline depends not only on the "big heroes" of a discipline, but also on a community’s ability to reflect on what has been done in the past and what should be done in the future. This volume combines perspectives on both. It celebrates the merits of Michael Otte as one of the most important founding fathers of mathematics education by bringing together all the new and fascinating perspectives created through his career as a bridge builder in the field of interdisciplinary research and cooperation. The perspectives elaborated here are for the greatest part motivated by the impressing variety of Otte’s thoughts; however, the idea is not to look back, but to find out where the research agenda might lead us in the future. This volume provides new sources of knowledge based on Michael Otte’s fundamental insight that understanding the problems of mathematics education – how to teach, how to learn, how to communicate, how to do, and how to represent mathematics – depends on means, mainly philosophical and semiotic, that have to be created first of all, and to be reflected from the perspectives of a multitude of diverse disciplines.
Mathematics as a Tool
This book puts forward a new role for mathematics in the natural sciences. In the traditional understanding, a strong viewpoint is advocated, on the one hand, according to which mathematics is used for truthfully expressing laws of nature and thus for rendering the rational structure of the world. In a weaker understanding, many deny that these fundamental laws are of an essentially mathematical character, and suggest that mathematics is merely a convenient tool for systematizing observational knowledge. The position developed in this volume combines features of both the strong and the weak viewpoint. In accordance with the former, mathematics is assigned an active and even shaping role in t...
Pathologies of Calcium Channels
Calcium ions represent Mother Nature’s ‘ion-of-choice’ for regulating fundamental physiological functions, as they initiate a new life at the time of fertilization and guide subsequent developmental and physiological functions of the human body. Calcium channels, which act as gated pathways for the movement of calcium ions across the membranes, play a central part in the initiation of calcium signals, and defects in calcium channel function have been found to result in a plethora of human diseases, referred to as the calcium channelopathies. Pathologies of Calcium Channels brings together leading international experts to discuss our current understanding of human diseases associated with the various calcium channels, from their molecular basis to potential future therapeutic targeting of calcium channels.
Index of Patents Issued from the United States Patent Office
pt. 1. List of patentees.--pt. 2. Index to subjects of inventions.
