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This volume provides readers with a broad view on the variety of issues related to the educational research and practices in the field of Creativity in Mathematics and Mathematical Giftedness. The book explores (a) the relationship between creativity and giftedness; (b) empirical work with high ability (or gifted) students in the classroom and its implications for teaching mathematics; (c) interdisciplinary work which views creativity as a complex phenomena that cannot be understood from within the borders of disciplines, i.e., to present research and theorists from disciplines such as neuroscience and complexity theory; and (d) findings from psychology that pertain the creatively gifted students. As a whole, this volume brings together perspectives from mathematics educators, psychologists, neuroscientists, and teachers to present a collection of empirical, theoretical and philosophical works that address the complexity of mathematical creativity and giftedness, its origins, nature, nurture and ways forward. In keeping with the spirit of the series, the anthology substantially builds on previous ZDM volumes on interdisciplinarity (2009), creativity and giftedness (2013).
This book is a tribute to Professor Pedro Gil, who created the Department of Statistics, OR and TM at the University of Oviedo, and a former President of the Spanish Society of Statistics and OR (SEIO). In more than eighty original contributions, it illustrates the extent to which Mathematics can help manage uncertainty, a factor that is inherent to real life. Today it goes without saying that, in order to model experiments and systems and to analyze related outcomes and data, it is necessary to consider formal ideas and develop scientific approaches and techniques for dealing with uncertainty. Mathematics is crucial in this endeavor, as this book demonstrates. As Professor Pedro Gil highlighted twenty years ago, there are several well-known mathematical branches for this purpose, including Mathematics of chance (Probability and Statistics), Mathematics of communication (Information Theory), and Mathematics of imprecision (Fuzzy Sets Theory and others). These branches often intertwine, since different sources of uncertainty can coexist, and they are not exhaustive. While most of the papers presented here address the three aforementioned fields, some hail from other Mathematical disciplines such as Operations Research; others, in turn, put the spotlight on real-world studies and applications. The intended audience of this book is mainly statisticians, mathematicians and computer scientists, but practitioners in these areas will certainly also find the book a very interesting read.
Tasks in Primary Mathematics Teacher Education is intended to advance relevant research and innovative international practices in the preparation and professional development of mathematics teachers. Emerging from discussion at the ICMI study on teacher professional development, this volume, focused on primary and elementary teachers, culls a richness that can only be found by gathering wisdom from varied experiences around the world. The choice of tasks, and the associated pedagogies, is a key aspect of teaching and learning mathematics. Arguing that what students learn is largely defined by the tasks they are given, several major themes are presented. One such major strand, the form, function and focus of tasks, is discussed throughout several chapters, offering analysis, discussion of implementation, and exemplars of a broader category of illustrative techniques for developing critical understanding.
This book encourages readers to shift their thinking about problem posing from the "other" to themselves (i.e. that they can develop problems themselves) and offers a broader conception of what can be done with problems.
Teaching and learning within higher education continues to evolve with innovative and new practices such as flipped teaching. This book contributes to the literature by developing a much deeper understanding of the complex phenomenon of flipped classroom approaches within higher education. It also serves as a practical guide to implementing flipped classroom teaching in academic practice across different higher educational institutions and disciplines. Part 1 of this book (Practice) describes the considerations involved in flipped classroom teaching, including the challenges faced in transforming teaching and learning within higher education. Further, it reviews the educational concepts on which the flipped classroom is based, including a selected history of similar innovations in the past. The final sections of Part 1 explore the tools needed for flipping, the design steps, assessment methods and the role of reflective practice within flipped teaching environments. “p>Part 2 of the book (Practices) provides a range of case studies from higher educational institutions in different countries and disciplines to demonstrate the many shapes and sizes of flipped classrooms. Many of the challenges, such as engaging students in their own learning and shifting them from spectators in the learning process to active participants, prove to be universal.
The Communication Lexicon is a new concept; it is a new source of information in the field of language and area studies. Its focus is on people's way of thinking, their frame of reference, their characteristic outlook on life. Compared to the more traditional area studies, our main focus is not on history or religion or geography, not on tangible material realities of existence in a particular country, but rather on people's shared subjective views of those real ities which are dominant in their minds. The focus of the analysis is essentially psychological; it is centered on perceptions and motivations which influence people's choices and behavior. Compared to individual psychology, the information repre sented by this volume is psycho-cultural in that it is centered on the shared perceptions and motivations which people with the same language, backgrounds, and experiences develop together into a shared cultural view or subjective representation of their universe. The attention psycho-cultural factors are receiving these days follows from the growing realization that their influences are powerful and yet they occur without people's awareness. Based on extensive empirical data produced through an analytic technique of indepth assessment, the Communication Lexicon presents the culturally characteristic system of meanings which members of a particular cultural community develop in construing their world. At the level of specifics the lexicon describes how selected themes such as family, society, work, and entertainment are perceived and understood by members of three cultures: Mexicans, Colombians, and U.S.
This book presents the proceedings of International Conference on Knowledge Society: Technology, Sustainability and Educational Innovation (TSIE 2019). The conference, which was held at UTN in Ibarra, Ecuador, on 3–5 July 2019, allowed participants and speakers to share their research and findings on emerging and innovative global issues. The conference was organized in collaboration with a number of research groups: Group for the Scientific Research Network (e-CIER); Research Group in Educational Innovation and Technology, University of Salamanca, Spain(GITE-USAL); International Research Group for Heritage and Sustainability (GIIPS), and the Social Science Research Group (GICS). In addition, it had the endorsement of the RedCLARA, e-science, Fidal Foundation, Red CEDIA, IEEE, Microsoft, Business IT, Adobe, and Argo Systems. The term “knowledge society” can be understood as the management, understanding and co-creation of knowledge oriented toward the sustainable development and positive transformation of society. In this context and on the occasion of the XXXIII anniversary of the Universidad Técnica del Norte (UTN), the Postgraduate Institute through its Master of Technology and Educational Innovation held the I International Congress on Knowledge Society: Technology, Sustainability and Educational Innovation – TSIE 2019, which brought together educators, researchers, academics, students, managers, and professionals, from both the public and private sectors to share knowledge and technological developments. The book covers the following topics: 1. curriculum, technology and educational innovation; 2. media and education; 3. applied computing; 4. educational robotics. 5. technology, culture, heritage, and tourism development perspectives; and 6. biodiversity and sustainability.
This book is a scholarly overview of the modern concepts, definitions, and theories of intellectual giftedness, and of past and current developments in the field of gifted education. The authors consider, in some detail, the roles of intelligence, creativity, and wisdom in giftedness and the interaction between culture and giftedness, as well as how giftedness can be understood in terms of a construct of developing expertise. The authors also review and discuss a set of key studies that address the issues of identification and education of children with intellectual gifts. This volume may be used as a summary overview of the field for educators, psychologists, social workers, and other professionals who serve intellectually gifted children and their families.
Building on their best-selling book Flip Your Classroom: Reach Every Student in Every Class Every Day, flipped education innovators Jonathan Bergmann and Aaron Sams return with a book series that supports flipped learning in the four topic areas of science, math, English and social studies as well as the elementary classroom.
Work is constantly reshaped by technological progress. New ways of production are adopted, markets expand, and societies evolve. But some changes provoke more attention than others, in part due to the vast uncertainty involved in making predictions about the future. The 2019 World Development Report will study how the nature of work is changing as a result of advances in technology today. Technological progress disrupts existing systems. A new social contract is needed to smooth the transition and guard against rising inequality. Significant investments in human capital throughout a person’s lifecycle are vital to this effort. If workers are to stay competitive against machines they need to train or retool existing skills. A social protection system that includes a minimum basic level of protection for workers and citizens can complement new forms of employment. Improved private sector policies to encourage startup activity and competition can help countries compete in the digital age. Governments also need to ensure that firms pay their fair share of taxes, in part to fund this new social contract. The 2019 World Development Report presents an analysis of these issues based upon the available evidence.