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Design Science and Its Importance in the German Mathematics Educational Discussion
This ICME-13 Topical Survey reviews the state-of-the-art by first exploring the roots and scope of design science. Second, it presents two examples of current design science projects that focus on substantial learning environments including a student and a teacher perspective. Subsequently, the book elaborates on how empirical research can be conceptualised within design science. Lastly, it explores developments in design science from a national and international perspective, while also discussing current trends in design research. Within the German-language tradition, considering ‘mathematics education as a design science’ primarily draws on the works of Wittmann. The core of this approach constitutes designing and investigating learning environments that involve substantial mathematics.
Reckoning in Normandy
Reckoning In Normandy: The Last Gathering Of The Greatest Generation concerns the authors experience at the 60th anniversary of the Normandy invasion in June 2004. As the son of a WWII paratrooper, he came to honor his father, a man who died young, and someone he hardly knew. In the process, he witnessed the return of the Normandy veterans for a last look back at their greatest achievement, and their middle aged children, seeking to discover the depth of their fathers souls after a lifetime of love and alienation. This book illuminates the difficult road the two groups traveled, and chronicles the emergence of respect, admiration, and above all, forgiveness on the beaches of Normandy. The second volume will be available next Spring.
Connecting Mathematics and Mathematics Education
This open access book features a selection of articles written by Erich Ch. Wittmann between 1984 to 2019, which shows how the “design science conception” has been continuously developed over a number of decades. The articles not only describe this conception in general terms, but also demonstrate various substantial learning environments that serve as typical examples. In terms of teacher education, the book provides clear information on how to combine (well-understood) mathematics and methods courses to benefit of teachers. The role of mathematics in mathematics education is often explicitly and implicitly reduced to the delivery of subject matter that then has to be selected and made ...
Lonely Planet Discover Vietnam
Lonely Planet: The world's leading travel guide publisher Lonely Planet's Discover Vietnam is your passport to the most relevant, up-to-date advice on what to see and skip, and what hidden discoveries await you. Immerse yourself in history in the warren-like lanes of Hoi An Old Town; cruise through shimmering seas past karst limestone peaks in Halong Bay; and kayak through ethereal caves or trek verdant rainforest mountains in Phong Nha-Ke Bang National Park. All with your trusted travel companion. Get to the heart of Vietnam and begin your journey now! Inside Lonely Planet's Discover Vietnam: Full-color maps and images throughout Highlights and itineraries help you tailor your trip to your ...
Cognitive Activation in the Mathematics Classroom and Professional Competence of Teachers
This work reports the findings of the Professional Competence of Teachers, Cognitively Activating Instruction, and Development of Students ́ Mathematical Literacy project (COACTIV). COACTIV applies a broad, innovative conceptualization of teacher competence to examine how mathematics teachers’ knowledge, beliefs, motivational orientations, and self-regulation skills influence their instructional practice and teaching outcomes In this project data was collected on various aspects of teacher competence and classroom instruction from the perspective of both the teachers themselves and their students. Moreover, it gauges the effects of these teacher characteristics on student learning, as indexed by the progress students in each class. Questions addressed in the study which are reported in this volume include: What are the characteristics of successful teaching? What distinguishes teachers who succeed in their profession? How can the quality of instruction be improved?
Developing Deep Knowledge in Middle School Mathematics
This textbook is for prospective teachers of middle school mathematics. It reflects on the authors’ experience in offering various mathematics education courses to prospective teachers in the US and Canada. In particular, the content can support one or more of 24-semester-hour courses recommended by the Conference Board of the Mathematical Sciences (2012) for the mathematical preparation of middle school teachers. The textbook integrates grade-appropriate content on all major topics in the middle school mathematics curriculum with international recommendations for teaching the content, making it relevant for a global readership. The textbook emphasizes the inherent connections between math...
Make a Splash!
Wild babies have a variety of ways they move through water, if they move through water at all. Mallard ducklings kick with webbed feet. Penguin chicks pretend their wings are flippers. Hippopotamus calves dive deep. The cuties in this book show kids how they maneuver in water.
Perspectives on German Popular Music
In this book, native popular musicologists focus on their own popular music cultures from Germany, Austria and Switzerland for the first time: from subcultural to mainstream phenomena; from the 1950s to contemporary acts. Starting with an introduction and two chapters on the histories of German popular music and its study, the volume then concentrates on focused, detailed and yet concise close readings from different perspectives (including particular historical East and West German perspectives), mostly focusing on the music and its protagonists. Moreover, these analyses deal with very original specific genres such as Schlager and Krautrock as well as transcultural genres such as Punk or Hip Hop. There are additional chapters on characteristically German developments within music media, journalism and the music industry. The book will contribute to a better understanding of German, Austrian and Swiss popular music, and will interconnect international and especially Anglo-American studies with German approaches. The book, as a consequence, will show close connections between global and local popular music cultures and diverse traditions of study.
Lonely Planet Best of Vietnam
Lonely Planet: The world's leading travel guide publisher Lonely Planet's Best of Vietnam is your passport to the most relevant, up-to-date advice on what to see and skip, and what hidden discoveries await you. Immerse yourself in history in the warren-like lanes of Hoi An Old Town; cruise through shimmering seas past karst limestone peaks in Halong Bay, and kayak through ethereal caves or trek verdant rainforest mountains in Phong Nha-Ke Bang National Park. All with your trusted travel companion. Discover the best of Vietnam and begin your journey now! Inside Lonely Planet's Best of Vietnam: Full-colour images throughout Highlights and itineraries help you tailor your trip to your personal ...
Diversifying Mathematics Teaching: Advanced Educational Content And Methods For Prospective Elementary Teachers
'What one takes away from this book is the notion that there’s a lot of potential to do more with these students, and the book stands as a resource for anyone who shares that opinion … Books like Abramovich’s are a welcome addition to our options as we try to do our best by these students, and by extension, their future students.'MAA ReviewsThe book is written to enhance the preparation of elementary teacher candidates by offering teaching ideas conducive to the development of deep understanding of concepts fundamental to the mathematics curriculum they are to teach. It intends to show how the diversity of teaching methods stems from the knowledge of mathematics content and how the app...
