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Connecting Mathematics and Mathematics Education

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ISBN: 9783030615703 Year: Pages: 318 DOI: 10.1007/978-3-030-61570-3 Language: English
Publisher: Springer Nature
Subject: Education --- Mathematics
Added to DOAB on : 2020-12-16 00:02:34
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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 palpable for students using methods imported from psychology, sociology, educational research and related disciplines. While these fields have made significant contributions to mathematics education in recent decades, it cannot be ignored that mathematics itself, if well understood, provides essential knowledge for teaching mathematics beyond the pure delivery of subject matter. For this purpose, mathematics has to be conceived of as an organism that is deeply rooted in elementary operations of the human mind, which can be seamlessly developed to higher and higher levels so that the full richness of problems of various degrees of difficulty, and different means of representation, problem-solving strategies, and forms of proof can be used in ways that are appropriate for the respective level. This view of mathematics is essential for designing learning environments and curricula, for conducting empirical studies on truly mathematical processes and also for implementing the findings of mathematics education in teacher education, where it is crucial to take systemic constraints into account.

Paths

Authors: --- ---
ISBN: 9783030475451 Year: Pages: 86 DOI: 10.1007/978-3-030-47545-1 Language: English
Publisher: Springer Nature
Subject: Science (General)
Added to DOAB on : 2020-09-23 00:03:35
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This open access book explores the amazing similarity between paths taken by people and many other things in life, and its impact on the way we live, teach and learn. Offering insights into the new scientific field of paths as part of the science of networks, it entertainingly describes the universal nature of paths in large networked structures. It also shows the amazing similarity in the ways humans and other – even nonliving – things navigate in a complex environment, to allow readers to easily grasp how paths emerge in many walks of life, and how they are navigated. Paths is based on the authors recent research in the area of paths on networks, which points to the possible birth of the new science of “paths” as a natural consequence ‘and extension) of the science of “networks.” The approach is essentially story-based, supported by scientific findings, interdisciplinary approaches, and at times, even philosophical points of view. It also includes short illustrative anecdotes showing the amazing similarities between real-world paths and discusses their applications in science and everyday life. Paths will appeal to network scientists and to anyone interested in popular science. By helping readers to step away from the “networked” view of many recent popular scientific books and start to think of longer paths instead of individual links, it sheds light on these problems from a genuinely new perspective. --------------------------------------------------------------------------------- The path is the goal. The essence behind this short sentence is known to many people around the world, expressed through the interpretations of some of the greatest thinkers like Lao-Tze and Gandhi. It means that it is the journey that counts, not the destination. When speaking about such subjective and intangible things, philosophy and religion are some of the only approaches that are addressed. In this book, the authors address this conventional wisdom from the perspective of natural science. They explore a sequence of steps that leads the reader closer to the nature of paths and accompany him on the search for “the path to paths”.

Modeling Excitable Tissue

Authors: --- ---
Book Series: Simula SpringerBriefs on Computing; Reports on Computational Physiology ISBN: 9783030611576 Year: Pages: 100 DOI: 10.1007/978-3-030-61157-6 Language: English
Publisher: Springer Nature
Subject: Science (General) --- Mathematics
Added to DOAB on : 2020-11-19 00:19:52
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This open access volume presents a novel computational framework for understanding how collections of excitable cells work. The key approach in the text is to model excitable tissue by representing the individual cells constituting the tissue. This is in stark contrast to the common approach where homogenization is used to develop models where the cells are not explicitly present. The approach allows for very detailed analysis of small collections of excitable cells, but computational challenges limit the applicability in the presence of large collections of cells.

Teaching Multiplication with Lesson Study

Authors: --- --- ---
ISBN: 9783030285616 Year: Pages: 296 DOI: 10.1007/978-3-030-28561-6 Language: English
Publisher: Springer Nature
Subject: Education
Added to DOAB on : 2020-12-16 00:02:37
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This open access book is intended to assist teachers, teacher trainers, curriculum designers, editors and authors of textbooks in developing strategies to teach the multiplication of natural numbers based on the experience of the Lesson Study in Japan. This approach to mathematics education dates back to the 1870s and reconciles the emphasis on problem solving with the treatment of the curricular contents. It has gained international recognition since the 1990s and thanks to it mathematics education in Japan has been recognized as one of the most efficient and innovative in the world. This growing international awareness has led to an effort to apply the principles of Lesson Study to other parts of the world and this book shows how experienced authors from Brazil, Chile, Mexico, Spain and Portugal have worked to adapt some of these methods and techniques to the Portuguese and Spanish speaking countries of Ibero-America. Drawing on the impact of Lesson Study on government curriculum decisions and teacher behavior in Japanese classrooms; offering examples of lessons, lesson plans and suggestions for teaching; and presenting examples of the good reception of the principles of Lesson Study in Ibero-America, Teaching Multiplication with Lesson Study – Japanese and Ibero-American Theories for Mathematics Education shows how an efficient and cutting-edge experience in mathematics education can travel the world and help teachers in many different countries. ; Shows how teachers can apply the principles of Japanese Lesson Study to teach the multiplication of natural numbers Presents an approach to mathematics education that reconciles the emphasis on problem solving with the treatment of the curricular contents Provides examples of how a method developed in Japan can be adapted to different cultural contexts, such as the Portuguese and Spanish speaking countries of Ibero-America

Information and Communication Technologies in Tourism 2021

Authors: --- ---
ISBN: 9783030657857 Year: Pages: 581 DOI: 10.1007/978-3-030-65785-7 Language: English
Publisher: Springer Nature
Subject: Business and Management --- Environmental Sciences --- Economics
Added to DOAB on : 2021-01-15 00:49:04
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This open access book is the proceedings of the International Federation for IT and Travel & Tourism (IFITT)’s 28th Annual International eTourism Conference, which assembles the latest research presented at the ENTER21@yourplace virtual conference January 19–22, 2021. This book advances the current knowledge base of information and communication technologies and tourism in the areas of social media and sharing economy, technology including AI-driven technologies, research related to destination management and innovations, COVID-19 repercussions, and others. Readers will find a wealth of state-of-the-art insights, ideas, and case studies on how information and communication technologies can be applied in travel and tourism as we encounter new opportunities and challenges in an unpredictable world.

Data Privacy and Trust in Cloud Computing

Authors: --- --- ---
Book Series: Palgrave Studies in Digital Business & Enabling Technologies ISBN: 9783030546601 Year: Pages: 149 DOI: 10.1007/978-3-030-54660-1 Language: English
Publisher: Springer Nature
Subject: Business and Management --- Computer Science
Added to DOAB on : 2020-11-19 00:19:05
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This open access book brings together perspectives from multiple disciplines including psychology, law, IS, and computer science on data privacy and trust in the cloud. Cloud technology has fueled rapid, dramatic technological change, enabling a level of connectivity that has never been seen before in human history. However, this brave new world comes with problems. Several high-profile cases over the last few years have demonstrated cloud computing's uneasy relationship with data security and trust. This volume explores the numerous technological, process and regulatory solutions presented in academic literature as mechanisms for building trust in the cloud, including GDPR in Europe. The massive acceleration of digital adoption resulting from the COVID-19 pandemic is introducing new and significant security and privacy threats and concerns. Against this backdrop, this book provides a timely reference and organising framework for considering how we will assure privacy and build trust in such a hyper-connected digitally dependent world. This book presents a framework for assurance and accountability in the cloud and reviews the literature on trust, data privacy and protection, and ethics in cloud computing.

Digital Entrepreneurship

Authors: --- --- --- --- et al.
Book Series: Future of Business and Finance ISBN: 9783030539146 Year: Pages: 327 DOI: 10.1007/978-3-030-53914-6 Language: English
Publisher: Springer Nature
Subject: Business and Management
Added to DOAB on : 2020-12-16 00:03:30
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This open access book explores the global challenges and experiences related to digital entrepreneurial activities, using carefully selected examples from leading companies and economies that shape world business today and tomorrow. Digital entrepreneurship and the companies steering it have an enormous global impact; they promise to transform the business world and change the way we communicate with each other. These companies use digitalization and artificial intelligence to enhance the quality of decisions and augment their business and customer operations. This book demonstrates how cloud services are continuing to evolve; how cryptocurrencies are traded in the banking industry; how platforms are created to commercialize business, and how, taken together, these developments provide new opportunities in the digitalized era. Further, it discusses a wide range of digital factors changing the way businesses operate, including artificial intelligence, chatbots, voice search, augmented and virtual reality, as well as cyber threats and data privacy management. “Digitalization mirrors the Industrial Revolution’s impact. This book provides a complement of perspectives on the opportunities emanating from such a deep seated change in our economy. It is a comprehensive collection of thought leadership mapped into a very useful framework. Scholars, digital entrepreneurs and practitioners will benefit from this timely work.” Gina O’Connor, Professor of Innovation Management at Babson College, USA “This book defines and delineates the requirements for companies to enable their businesses to succeed in a post-COVID19 world. This book deftly examines how to accomplish and achieve digital entrepreneurship by leveraging cloud computing, AI, IoT and other critical technologies. This is truly a unique “must-read” book because it goes beyond theory and provides practical examples.” Charlie Isaacs, CTO of Customer Connection at Salesforce.com, USA "This book provides digital entrepreneurs useful guidance identifying, validating and building their venture. The international authors developed new perspectives on digital entrepreneurship that can support to create impact ventures.” Felix Staeritz, CEO FoundersLane, Member of the World Economic Forum Digital Leaders Board and bestselling author of FightBack, Germany

Internal Crowdsourcing in Companies

Authors: --- --- --- --- et al.
Book Series: Contributions to Management Science ISBN: 9783030528812 Year: Pages: 220 DOI: 10.1007/978-3-030-52881-2 Language: English
Publisher: Springer Nature
Subject: Business and Management
Added to DOAB on : 2020-12-16 00:04:00
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This open access book examines the implications of internal crowdsourcing (IC) in companies. Presenting an employee-oriented, cross-sector reference model for good IC practice, it discusses the core theoretical foundations, and offers guidelines for process-management and blueprints for the implementation of IC. Furthermore, it examines solutions for employee training and competence development based on crowdsourcing. As such, the book will appeal to scholars of management science, work studies, organizational and participation research and to readers interested in inclusive approaches for cooperative change management and the IT implications for IC platforms.

Model-Based Engineering of Collaborative Embedded Systems

Authors: --- --- --- --- et al.
ISBN: 9783030621360 Year: Pages: 404 DOI: 10.1007/978-3-030-62136-0 Language: English
Publisher: Springer Nature
Subject: Computer Science --- Business and Management --- Agriculture (General)
Added to DOAB on : 2021-01-15 00:50:00
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This Open Access book presents the results of the "Collaborative Embedded Systems" (CrESt) project, aimed at adapting and complementing the methodology underlying modeling techniques developed to cope with the challenges of the dynamic structures of collaborative embedded systems (CESs) based on the SPES development methodology. In order to manage the high complexity of the individual systems and the dynamically formed interaction structures at runtime, advanced and powerful development methods are required that extend the current state of the art in the development of embedded systems and cyber-physical systems. The methodological contributions of the project support the effective and efficient development of CESs in dynamic and uncertain contexts, with special emphasis on the reliability and variability of individual systems and the creation of networks of such systems at runtime. The project was funded by the German Federal Ministry of Education and Research (BMBF), and the case studies are therefore selected from areas that are highly relevant for Germany’s economy (automotive, industrial production, power generation, and robotics). It also supports the digitalization of complex and transformable industrial plants in the context of the German government's "Industry 4.0" initiative, and the project results provide a solid foundation for implementing the German government's high-tech strategy "Innovations for Germany" in the coming years.

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