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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...
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...
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.
Mathematics Education in the Age of Artificial Intelligence
This book highlights the contribution of artificial intelligence for mathematics education. It provides concrete ideas supported by mathematical work obtained through dynamic international collaboration, and discusses the flourishing of new mathematics in the contemporary world from a sustainable development perspective. Over the past thirty years, artificial intelligence has gradually infiltrated all facets of society. When it is deployed in interaction with the human designer or user, AI certainly raises new ethical questions. But as soon as it aims to augment intelligence in a kind of human-machine partnership, it goes to the heart of knowledge development and the very performance of work...
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...
Mathematical Work in Educational Context
This book is a friendly and complete introduction to one of the most comprehensive contemporary theories of mathematics teaching and learning. By focusing on mathematical work performed by students and teachers during mathematics session, the theory of Mathematical Workings Spaces (MWS) has opened up new perspectives and avenues on mathematics education and mathematical thinking. In particular, it enables the identification of students' knowledge production processes and helps teachers to shape them. The first part of the book explores the heart of the theory and aims to further describe and understand epistemological and cognitive aspects of mathematical work. The second part develops the d...
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...
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 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.
