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The Evolution of Research on Teaching Mathematics
This open access book investigates current issues related to the evolution of research on teaching mathematics and examines up to thirty years of presage-process-product research (PPPR) in mathematics with respect to conceptualization, instrumentation, and design. The book discusses the theoretical and methodological challenges associated with PPPR, critically reviews current research, and explores the likely direction of further developments to identify future paths for research on high-quality mathematics teaching in the digital era. Subjects that are covered in this work focus on the relationships between 1) student learning outcomes measured upon completion of the mathematics teaching; 2...
Mathematical Competencies in the Digital Era
This book focuses on the potential interplay between two distinct, yet related paradigm shifts in mathematics education, drawing on the notion of “networking of theories” through illustrative case studies from the Danish educational system and beyond. The first paradigm shift is the massive introduction of digital technology in the teaching and learning of the subject; the second is a shift from the traditional focusing on mastering of skills and knowledge to being concerned with the possession and development of mathematical competencies. This book builds on the Danish KOM (Competencies and the Learning of Mathematics) project, which sources its description of mathematical mastery prima...
Global Classroom
Travel abroad has become a standard feature of global citizenship and many seek help in making sure their travel experiences are fulfilling. University based tours and travel programs are among the most popular for the educated sojourner. This book is aimed at students, professors, and study abroad professionals, but anyone who wants help in preparing for informed and culturally sensitive travel will benefit from its extensive resources. Both a primer for a holistic experience abroad and a practical guide to issues that arise in any travel setting, The Global Classroom is an essential travel companion. It explores the philosophy behind overseas travel, the potential value of the experience, practical preparation for study abroad, selecting the right program, actively engaging in foreign educational settings, reorientation challenges, and exploring pathways for integrating the experience into careers as engaged global citizens. The guide concludes with an appendix containing valuable resources for easy use by all.
The Handbook of Practice and Research in Study Abroad
Co-published with the Association for American Colleges and Universities (AAC&U) If we are all becoming global citizens, what then are our civic responsibilities? Colleges and universities across the United States have responded to this question by making the development of global citizens part of their core mission. A key strategy for realizing this goal is study abroad. After all, there may be no better way for students to acquire the knowledge, skills, and attitudes required to become effective change-agents in international contexts. The Handbook of Practice and Research in Study Abroad is a comprehensive survey of the field. Each chapter eloquently conveys an enthusiasm for study abroad...
The Mathematics of Patterns, Symmetries, and Beauties in Nature
This unique book gathers various scientific and mathematical approaches to and descriptions of the natural and physical world stemming from a broad range of mathematical areas – from model systems, differential equations, statistics, and probability – all of which scientifically and mathematically reveal the inherent beauty of natural and physical phenomena. Topics include Archimedean and Non-Archimedean approaches to mathematical modeling; thermography model with application to tungiasis inflammation of the skin; modeling of a tick-Killing Robot; various aspects of the mathematics for Covid-19, from simulation of social distancing scenarios to the evolution dynamics of the coronavirus i...
International Perspectives on the Teaching and Learning of Geometry in Secondary Schools
This book presents current perspectives on theoretical and empirical issues related to the teaching and learning of geometry at secondary schools. It contains chapters contributing to three main areas. A first set of chapters examines mathematical, epistemological, and curricular perspectives. A second set of chapters presents studies on geometry instruction and teacher knowledge, and a third set of chapters offers studies on geometry thinking and learning. Specific research topics addressed also include teaching practice, learning trajectories, learning difficulties, technological resources, instructional design, assessments, textbook analyses, and teacher education in geometry. Geometry re...
Transforming Study Abroad
Written for study abroad practitioners, this book introduces theoretical understandings of key study abroad terms including “the global/national,” “culture,” “native speaker,” “immersion,” and “host society.” Building theories on these notions with perspectives from cultural anthropology, political science, educational studies, linguistics, and narrative studies, it suggests ways to incorporate them in study abroad practices. Through attention to daily activities via the concept of immersion, it reframes study abroad not as an encounter with cultural others but as an occasion to analyze constructions of “differences” in daily life, backgrounded by structural arrangements.
Conflict Zone, Comfort Zone
By taking students out of their comfort zone, field-based courses—which are increasingly popular in secondary and postsecondary education—have the potential to be deep, transformative learning experiences. But what happens when the field in question is a site of active or recent conflict? In Conflict Zone, Comfort Zone, editors Agnieszka Paczyńska and Susan F. Hirsch highlight new approaches to field-based learning in conflict zones worldwide. As the contributors demonstrate, instructors must leave the comfort zone of traditional pedagogy to meet the challenges of field-based education. Drawing on case studies in the United States and abroad, the contributors address the ethical conside...
Performative Linguistic Space
This volume explores "performative linguistic space", namely a space which ushers or hinders linguistic practices. Space is made productive as a result of individuals who bring linguistic politics from diverse spaces into new ones. By moving away from the notions of discrete units of language and linguistic communities associated with a specific space, this volume suggests a fluid productive aspect of space. It goes beyond the assumed space-linguistic community association through ethnographic accounts that mediate linguistic anthropology, cultural geography, sociolinguistics, and deaf studies.
International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives
This book explores terminology, frameworks, and research being conducted worldwide on virtual manipulatives. It brings together international authors who provide their perspectives on virtual manipulatives in research and teaching. By defining terminology, explaining conceptual and theoretical frameworks, and reporting research, the authors provide a comprehensive foundation on the study and use of virtual manipulatives for mathematics teaching and learning. This foundation provides a common way for researchers to communicate about virtual manipulatives and build on the major works that have been conducted on this topic. By discussing these big ideas, the book advances knowledge for future research on virtual manipulatives as these dynamic tools move from computer platforms to hand-held, touch-screen, and augmented platforms.
