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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.
Mathematics Education --- Teaching and Teacher Education --- Curriculum Studies --- Mathematics, general --- Mathematics --- Relating Mathematics to Mathematics Education --- Mathematics Education as a Design Science --- Substantial Learning Environments --- Integrating Theory and Practice --- Curriculum Development --- Developing mathematics education courses --- Open Access --- Teaching of a specific subject --- Teacher training --- Curriculum planning & development
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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”.
Popular Science in Mathematics --- Mathematics --- network science --- graph theory --- path --- shortest path --- internet --- brain --- routing policy --- social networks --- artificial networks --- computer networks --- road networks --- open access --- Popular and recreational mathematics
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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.
Mathematical and Computational Biology --- Applications of Mathematics --- Mathematical Modeling and Industrial Mathematics --- applied mathematics --- scientific computing --- computational physiology --- finite element methods --- cardiac modelling --- biomechanics --- numerical methods --- preconditioning --- open access --- Maths for scientists --- Mathematical modelling --- Maths for engineers
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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
Mathematics Education --- Teaching and Teacher Education --- Curriculum Studies --- International and Comparative Education --- Curriculum --- Lesson study --- Teaching multiplication --- Comparative education --- Ethnomathematics --- Mathematics education in Japan --- Mathematics education in Latin America --- Learning to multiply --- Multiply by zero --- Multiplication facts --- Multiplication properties --- Algorithms to multiply --- Vertical multiplication --- Mathematics teacher education --- Instructional activities and practices --- Elementary school education --- Problem solving --- Mathematics textbooks --- open access --- Teaching of a specific subject --- Mathematics --- Teacher training --- Curriculum planning & development --- Education
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Mathematics, general --- Education, general --- Mathematics Education --- General Mathematics and Education --- Didactics and Teaching Methodology --- Assessment and Testing --- Open Access --- Open Source Software --- Digitales Selbststudium --- Mathematikdidaktik --- Lernmanagementsystem ILIAS --- Studienvorbereitung in der Mathematik --- Test- und Assessment in der Mathematik --- Adaptive Lernempfehlungen in der Mathematik --- Überfachliche Lernmodule --- MINT-Fächer --- optes --- Digitale Lernmodelle --- E-Learning an der Hochschule --- E-Portfolio --- Mentoring / Tutoring an Hochschulen --- Kompetenzmanagement --- Mathematics --- Education --- Teaching of a specific subject
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Operations Research/Decision Theory --- Business Mathematics --- Management --- Operations Research and Decision Theory --- Open Access --- Eigentumswohnungen --- Wohnungseigentum --- Wohnungseigentümergemeinschaften --- Immobilien --- Wohnimmobilien --- Investition --- Bewertung von Eigentumswohnungen --- Einkommensteuern --- Nutzwertanalyse --- Zustands-Grenzpreismodell --- ZGPM --- Wohnungseigentumsgesetz --- Investitionstheorie --- Funktionale Bewertungstheorie --- § 32a EStG --- Operational research --- Management decision making --- Business mathematics & systems --- Management & management techniques
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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.
Tourism Management --- IT in Business --- Environmental Management --- Cultural Economics --- Open access book --- Augmented reality in tourism --- Virtual reality tourism --- ICT for tourism --- Smart tourism --- IFITT --- ENTER conference --- Hospitality, leisure & tourism industries --- Business mathematics & systems --- Business applications --- Environmental management, --- Economics
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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.
Innovation/Technology Management --- Big Data/Analytics --- Security --- e-Commerce/e-business --- Business and Management --- IT in Business --- Computer Science --- e-Commerce and e-Business --- GDPR --- Data regulation --- accountability --- ethics in computing --- HIPAA --- it --- information management --- internet --- open access --- Research & development management --- Industrial applications of scientific research & technological innovation --- Business mathematics & systems --- Computer security --- Business applications --- E-commerce: business aspects
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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
Entrepreneurship --- IT in Business --- Innovation/Technology Management --- Business and Management --- Open Access --- Digital transformation and entrepreneurship --- ICT based business models --- AR and VR startups --- Digitalization and entrepreneurial ecosystems --- Digital entrepreneurship strategies --- Business models for digital business --- Creating digital intrapreneurs --- Business mathematics & systems --- Business applications --- Research & development management --- Industrial applications of scientific research & technological innovation
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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.
Human Resource Development --- Knowledge Management --- Business Process Management --- Business Information Systems --- Human Resource Management --- Management --- IT in Business --- Agile organisations --- Scrum for crowdsourcing --- Future of work --- Cultural change --- Employee participation and qualification --- Collective experience and knowledge --- Open Access --- Personnel & human resources management --- Business mathematics & systems
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