In 1978, in the foreword to Weeding and Sowing: A Preface to a Science of Mathematics Education, Hans Freudenthal wrote that his book is a preface to a science that does not exist. Almost 20 years later, does his claim still hold true? The present book is the result of the reflection of many individuals in mathematics education on this and related questions. Is mathematics education a science? Is it a discipline? In what sense? What is its place within other domains of research and academic disciplines? What accounts for its specificity? In the book, the reader will find a range of possible answers to these questions, a variety of analyses of the actual directions of research in different countries, and a number of visions for the future of research in mathematics education. The book is a result of an ICMI Study, whose theme was formulated as: `What is Research in Mathematics Education and What are Its Results?'. One important outcome of this study was the realization of the reasons for the difficulty of the questions that the study was posing, leading possibly to a set of other questions, better suited to the actual concerns and research practices of mathematics education researchers. The book addresses itself to researchers in mathematics education and all those working in their neighborhood who are concerned with the problems of the definition of this new scientific domain emerging at their borders.
The book is based on the recently held Symposium on mathematics and its connections to the arts and sciences, namely the second Mathematics and its Connections to the Arts and Sciences (MACAS2)Symposium in Odense, Denmark (May 29-31, 2007). The chapters are an eclectic collection of interdisciplinary research initiatives undertaken by mathematics educators with implications for practitioners concerned with teaching and learning processes. The papers cover a wide genre of research domains within mathematics education (cognition, modelling, problem solving, teacher education, ethnomathematics, mathematical/statistical literacy, curricular and technological initiatives and research related to science education). The major interdisciplinary themes of the papers in this book are: 1. How can modelling activities be used to foster interdisciplinary projects in the school and university setting? 2. How can the intricate connections between mathematics and physics be used to design and research interdisciplinary activities in schools and the university? 3. How can research within the ethnomathematics domain of mathematics education be linked to critical mathematics education and interdisciplinary projects involving mathematics, art and culture? 4. How can the push for mathematical and statistical literacy be connected to other subjects in the school curricula and emphasized via interdisciplinary activities? 5. What are concrete examples of classroom experiments with empirical data that demonstrate new and unusual connections/relations between mathematics, arts and the sciences with implications for pedagogy? 6. What is the role of technology and new ICT interfaces in linking communities of learners in interdisciplinary activities involving problem solving? The book is an important contribution to the literature on educational initiatives in interdisciplinary education increasing vital for emerging professions of the 21st century.
This book is an empirical account of how students experience and conceptualise internationalisation of higher education at the University of the Witwatersrand, South Africa. The conceptual framework presents the University of the Witwatersrand (Wits) within three domains- the official, pedagogical and social- as the context within which the university operates. Adopting phenomenography as the research approach, four main constructs on internationalisation emerged from students' accounts. This book argues that, though students converge to four constructs, their difference on the emphasis and significance points to a scenario of unbalanced institutional mediation with strong mediation within the logic of the dominant pedagogical practice within the university constrained by forms of weak mediation in the social domain.
The book discusses the idea of the learning community as a vehicle for professional learning and school development. As the authors show, the learning community develops in response to building capacity in three domains: personal, interpersonal and organizational. In the personal domain, educators deconstruct and reconstruct their professional narratives to enhance student learning and professional practice. In the interpersonal domain, educators generate norms and values that foster experimentation and critical analysis of educational practice and that promote collective and individual learning. In the organizational domain, visible and invisible structures are constructed that enable community members to enact educational practices in support of profound improvement in teaching and learning. This revised and updated edition of Profound Improvement not only brings this important work up-to-date but also shows how the authors thinking has changed and developed since the book was originally written. The book focuses on the life of educators as it relates to professional learning and growth. It is concerned with human growth and development, human cognition and affect and human interactions and actions in the context of a school community. For the new edition the authors also: elaborate more fully the notion of learning communities based on living systems and ecological perspectives develop their capacity building model They show that building a learning community is a dynamic process that engages the individual, the group and the organization in embedded interdependencies and mutual influences. As the authors clearly demonstrate: education is a living system as opposed to a managed system.
'Kate Hefferon and Ilona Boniwell have done an excellent job on this introduction to Positive Psychology! I encourage educators, students and everyone else interested in an updated, well-written and culturally balanced approach to the scientific study of human flourishing, to read this highly accessible, yet rigorously crafted text; and to get it under your skin by ways of carefully chosen tests and exercises.' Hans Henrik Knoop, Aarhus University, Denmark and President, European Network for Positive Psychology 'This accessible, yet comprehensive, book provides an excellent new resource in the area of positive psychology. Students, researchers and practitioners alike will benefit from the skilful and lively integration of theory, research and application. The authors are prominent members of the international positive psychology movement and as such are able to deliver a confident, practical and overarching assessment of the area, integrated into psychology more widely.' Angela Clow, University of Westminster, UK 'This is an exceptional book that synthesizes more than a decade of positive psychology research into chapters that are engaging, accessible, and educational. Hefferon and Boniwell demonstrate a mastery of the literature through the ways in which they have marshaled the evidence from research and practice into this invaluable resource. This book will become an essential reference guide for researchers, educators and practitioners of positive psychology around the world.' Professor Alex Linley, Founding Director, Capp 'This book is a valuable resource for students looking for an introduction to Positive Psychology, but also wanting to get a comprehensive and updated overview of this innovative approach to the study of human behaviour and experience. It provides a broad coverage of the most relevant theories and constructs developed within Positive Psychology, and of their relevance for intervention and application in the most diverse life domains. Hefferon and Boniwell use a rigorous though accessible and friendly style of presentation. By means of effective learning supports, they stimulate readers' active engagement in critical reflections on each topic. The authors address the several issues and open questions which still characterize Positive Psychology as a relatively recent domain through a balanced and objective approach.' Antonella Delle Fave, University of Milano, Italy 'Kate Hefferon and Ilona Boniwell have produced the first textbook which has set out purposefully to support students and teachers in higher education in the exciting new area of positive psychology. The authors have experience of teaching the lectures described in each chapter and the book is written in a way that students will find engaging and fun. Each chapter has clear learning objectives, mock essay questions, measurement tools, summaries and a guide to further resources. The content has been well researched and the early chapters cover the main concepts of positive psychology such as emotions, happiness, wellbeing, optimism, and resilience. The later chapters are more novel and cover interventions and applications all with a critical eye. Of particular note is the chapter on the body in positive psychology - a topic which is frequently omitted from the 'thoughts and feelings' approach of other texts in this area. I would strongly recommend this book to all students and teachers of psychology.' Nanette Mutrie, Professor of Exercise and Sport Psychology, Strathclyde University, UK 'The text is well written, clear and engaging making it an invaluable resource to those seeking an introductory text or for a more comprehensive coverage of the applications of positive psychology. I would highly recommend this text to all students and higher education lecturers studying or teaching the psychology of happiness and wellbeing.' Charlotte Taylor, Research Assistant, University of Worcester, UK 'The authors utilise their own multidisciplinary experiences in the field of psychology in an endeavour to provide an effective textbook to accompany university level courses on Positive Psychology, an endeavour which appears to have been accomplished with a high degree of success.' Steven Southworth, Postgraduate Psychology student, University
Following the great success of the earlier books, this fourth book in the Mathematics Recovery series equips teachers with detailed pedagogical knowledge and resources for teaching number to 7 to 11-year olds. Drawing on extensive programs of research, curriculum development, and teacher development, the book offers a coherent, up-to-date approach emphasising computational fluency and the progressive development of students' mathematical sophistication. The book is organized in key domains of number instruction, including structuring numbers 1 to 20, knowledge of number words and numerals, conceptual place value, mental computation, written computation methods, fractions, and early algebraic reasoning. Features include: ' fine-grained progressions of instruction within each domain; ' detailed descriptions of students' strategies and difficulties; ' assessment tasks with notes on students' responses; ' classroom-ready instructional activities; ' an accompanying CD with extensive instructional resources. This book is designed for classroom and intervention teachers, special education teachers and classroom assistants. The book is an invaluable resource for mathematics advisors and coaches, learning support staff, numeracy consultants, curriculum developers, teacher educators and researchers.
In recent years, the use of Artificial Intelligence (AI) techniques has been greatly increased. The term &#8220;intelligence&#8221; seems to be a &#8220;must&#8221; in a large number of European and International project calls. AI Techniques have been used in almost any domain. Application-oriented systems usually incorporate some kind of &#8220;intelligence&#8221; by using techniques stemming from intelligent search, knowledge representation, machine learning, knowledge discovery, intelligent agents, computational intelligence etc. The Workshop on &#8220;Applications with Artificial Intelligence&#8221; seeks for quality papers on computer applications that incorporate some kind of AI technique. The objective of the workshop was to bring together scientists, engineers and practitioners, who work on designing or developing applications that use intelligent techniques or work on intelligent techniques and apply them to application domains (like medicine, biology, education etc), to present and discuss their research works and exchange ideas in this book.
The overall objective of this book is to provide standards for the knowledge, skills, and attitudes expected of all hospitalists and to provide a framework for ongoing professional and curriculum development for learners at all levels. The framework is intended for use by hospital medicine program directors, directors of medical student clerkships, residency programs, fellowships, and continuing medical education, as well as other educators involved in curriculum development. The competencies do not focus on specific content, but rather general learning objectives within the skills, knowledge, and attitudes related to each topic. Attaining competency in the areas defined in these chapters is expected to require post-residency training. This training is most likely to be obtained through a combination of work experience, local mentorship, and engagement in specific educational programs or fellowship. Hospitalists, directors, and educators can create specific instructional activities and methods chosen to reflect the characteristics of the intended learners and context of the practice environment.Within each section, individual chapters on focused topics provide competencies in three domains of educational outcomes: the Cognitive Domain (Knowledge), the Psychomotor Domain (Skills), and the Affective Domain (Attitudes). To reflect the emphasis of hospital medicine practice on improving healthcare systems, a fourth section entitled Systems Organization and Improvement is also included. An attempt has been made to make the objectives timeless, allowing for creation of curriculum that can be nimble and reactive to new discoveries.Although the entire document can be a resource for comprehensive program development, each chapter is intended to stand-alone and thus support curriculum development specific to the needs of individual programs.
Information and communications technology (ICT) pervades virtually all domains of modern life-educational, professional, social, and personal. Yet although there have been numerous calls for linkages that enable ICT competencies acquired in one domain to benefit another, this goal has largely remained unrealized. In particular, while technology skills and applications at work could be greatly enhanced by earlier complementary learning at school-particularly in K-12 education, a formative and influential stage in a person's life-little progress has been made on such linkages. At present, the curricula of most U.S. high schools focus on skills in the use of tools such as specific word-processing software or contemporary Internet search engines. Although these kinds of skills are certainly valuable-at least for a while-they comprise just one component, and the most rudimentary component, of ICT competencies. The National Academies held a workshop in October 2005 to address the specifics of ICT learning during the high school years would require an explicit effort to build on that report. The workshop was designed to extend the work begun in the report Being Fluent with Information Technology, which identified key components of ICT fluency and discussed their implications for undergraduate education. ICT Fluency and High Schools summarizes the workshop, which had three primary objectives: (1) to examine the need for updates to the ICT-fluency framework presented in the 1999 study; (2) to identify and analyze the most promising current efforts to provide in high schools many of the ICT competencies required not only in the workplace but also in people's day-to-day functioning as citizens; and (3) to consider what information or research is needed to inform efforts to help high school students develop ICT fluency.