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In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an "arithmetic" of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Gr...
Medien jeglicher Art prägen unseren Alltag und sind mittlerweile unverzichtbarer Bestandteil der menschlichen Kultur weltweit, sei es in analoger oder digitaler Form. Auch und gerade aus pädagogischer sowie fachdidaktischer Sicht eröffnen Medien ein spannendes Feld, das nicht zuletzt auch immer wieder stark durch kontroverse Diskussionen und Debatten geprägt ist. Hier setzt das Buch an und präsentiert auf Basis einer forschungsgeleiteten empirischen Medienpädagogik und -didaktik aktuelle Studien und deren Befunde. Entsprechend finden sich verschiedene Kapitel, die den aktuellen Forschungsstand darlegen und darauf basierend Handlungsempfehlungen geben. Dies umfasst sowohl die Medienpädagogik und -didaktik allgemein als auch fachspezifische mediendidaktische Themen- und Handlungsfelder.
At the interface between chemistry and mathematics, this book brings together research on the use mathematics in the context of undergraduate chemistry courses. These university-level studies also support national efforts expressed in the Next Generation Science Standards regarding the importance of skills, such as quantitative reasoning and interpreting data. Curated by award-winning leaders in the field, this book is useful for instructors in chemistry, mathematics, and physics at the secondary and university levels.
Virtual exchange refers to education programmes in which constructive communication and interaction takes place between individuals or groups from different cultural backgrounds with the support of educators or facilitators. Evaluating and Upscaling Telecollaborative Teacher Education (EVALUATE, http://www.evaluateproject.eu/) was a European policy experimentation financed by Erasmus+ which studied the impact of a telecollaborative model of virtual exchange on student teachers. Between 2017-2018, the project consortium trained teacher trainers and organised virtual exchanges which involved over 1,000 student teachers at initial teacher education institutions. This entailed students interacti...
Experts investigate the reasons for low female participation in computing and suggest strategies for moving toward parity through studies of middle and high school girls, female students and postsecondary computer science programs, and women in the information technology workforce.
This volume provides a state of the art overview of Online Intercultural Exchange (OIE) in university education and demonstrates how educators can use OIE to address current challenges in university contexts such as internationalisation, virtual mobility and intercultural foreign language education. Since the 1990s, educators have been using virtual interaction to bring their classes into contact with geographically distant partner classes to create opportunities for authentic communication, meaningful collaboration and first-hand experience of working and learning with partners from other cultural backgrounds. Online exchange projects of this nature can contribute to the development of lear...
How does the internet really work? This book explains the technology behind it all, in simple question and answer format.
Collected Stories includes both volumes of the National Book Award–winning author Shirley Hazzard’s short-story collections—Cliffs of Fall and People in Glass Houses—alongside uncollected works and two previously unpublished stories Shirley Hazzard's Collected Stories is a work of staggering breadth and accomplishment. Taken together, these twenty-eight short stories are masterworks in telescoping focus, ranging from quotidian struggles between beauty and pragmatism to satirical send-ups of international bureaucracy, from the Italian countryside to suburban Connecticut. Hazzard's heroes are high-minded romantics who attempt to fit their feelings into the twentieth-century world of of...