Download or read book Exploiting Mental Imagery with Computers in Mathematics Education written by Rosamund Sutherland and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advent of fast and sophisticated computer graphics has brought dynamic and interactive images under the control of professional mathematicians and mathematics teachers. This volume in the NATO Special Programme on Advanced Educational Technology takes a comprehensive and critical look at how the computer can support the use of visual images in mathematical problem solving. The contributions are written by researchers and teachers from a variety of disciplines including computer science, mathematics, mathematics education, psychology, and design. Some focus on the use of external visual images and others on the development of individual mental imagery. The book is the first collected volume in a research area that is developing rapidly, and the authors pose some challenging new questions.
Download or read book Meaning in Mathematics Education written by Jeremy Kilpatrick and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed—theoretical and practical—and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge. This book presents a wide variety of theoretical reflections and research results about meaning in mathematics and mathematics education based on long-term and collective reflection by the group of authors as a whole. It is the outcome of the work of the BACOMET (BAsic COmponents of Mathematics Education for Teachers) group who spent several years deliberating on this topic. The ten chapters in this book, both separately and together, provide a substantial contribution to clarifying the complex issue of meaning in mathematics education. This book is of interest to researchers in mathematics education, graduate students of mathematics education, under graduate students in mathematics, secondary mathematics teachers and primary teachers with an interest in mathematics.
Download or read book Subject Teaching and Teacher Education in the New Century written by Yin Cheong Cheng and published by Springer Science & Business Media. This book was released on 2002-03-31 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 544-page book has 22 chapters prepared by experienced and renowned scholars and researchers from different parts of the world. Grouped into three sections- "Information Technology, Science and Mathematics", "Social Sciences and General Studies", and "Languages" - the chapters represent an important collection of international endeavours committed to facilitate the much needed paradigm shift in subject curriculum and pedagogy and reinforce the quest for a new knowledge base that can support the search for new conceptions, models, perspectives, innovations, and practices for teaching effectiveness and teacher development in different parts of the world. The target audiences are teacher educators, educators, graduate students, researchers, policy makers and those interested to reform education and teacher education in the new century.
Download or read book Transformation A Fundamental Idea of Mathematics Education written by Sebastian Rezat and published by Springer Science & Business Media. This book was released on 2013-12-13 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: The diversity of research domains and theories in the field of mathematics education has been a permanent subject of discussions from the origins of the discipline up to the present. On the one hand the diversity is regarded as a resource for rich scientific development on the other hand it gives rise to the often repeated criticism of the discipline’s lack of focus and identity. As one way of focusing on core issues of the discipline the book seeks to open up a discussion about fundamental ideas in the field of mathematics education that permeate different research domains and perspectives. The book addresses transformation as one fundamental idea in mathematics education and examines it from different perspectives. Transformations are related to knowledge, related to signs and representations of mathematics, related to concepts and ideas, and related to instruments for the learning of mathematics. The book seeks to answer the following questions: What do we know about transformations in the different domains? What kinds of transformations are crucial? How is transformation in each case conceptualized?
Download or read book Second International Handbook of Mathematics Education written by Alan Bishop and published by Springer Science & Business Media. This book was released on 2012-02-02 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt: ALAN 1. BISHOP The first International Handbook on Mathematics Education was published by Kluwer Academic Publishers in 1996. However, most of the writing for that handbook was done in 1995 and generally reflected the main research and development foci prior to 1994. There were four sections, 36 chapters, and some 150 people contributed to the final volume either as author, reviewer, editor, or critical friend. The task was a monumental one, attempting to cover the major research and practice developments in the international field of mathematics education as it appeared to the contributors in 1995. Inevitably there were certain omissions, some developments were only starting to emerge, and some literatures were only sketchy and speculative. However that Handbook has had to be reprinted three times, so it clearly fulfilled a need and I personally hope that it lived up to what I wrote in its Introduction: The Handbook thus attempts not merely to present a description of the international 'state-of-the-field', but also to offer synthetic and reflective overviews on the different directions being taken by the field, on the gaps existing in our present knowledge, on the current problems being faced, and on the future possibilities for development. (Bishop et aI. , 1996) Since that time there has been even more activity in our field, and now seems a good time to take stock again, to reflect on what has happened since 1995, and to create a second Handbook with the same overall goals.
Download or read book Visual spatial Ability in STEM Education written by Myint Swe Khine and published by Springer. This book was released on 2016-10-13 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each chapter in this book makes a unique contribution to the body of the literature and enhances the understanding of spatial ability and its influence on learning in the STEM disciplines. It addresses spatial abilities, ways to measure them as well as their impact and how they can affect learning subjects in scientific, technology and engineering domains. The volume deliberately covers a wide range perspectives from cognitive psychology, educational psychology, science, technology, engineering and mathematics, computer science, information technology disciplines to human development. Taking a broad view on the topic, chapters in the book discuss how to define spatial ability and its factors, the measurement of spatial ability and psychometric analyses, and educational strategies to improve spatial skills and their implications for science and technology education. The book thus provides an overview of current thinking about visual-spatial ability, spatial reasoning, and spatial skills.
Download or read book Information and Communications Technologies in School Mathematics written by David Tinsley and published by Springer. This book was released on 2013-06-05 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Federation for Information Processing, IFIP, is a multinational federation of professional technical organisations concerned with information processing. IFIP is dedicated to improving communication and increased understanding among practitioners of all nations about the role information processing can play in all walks of life. This Working Conference, Secondary School Mathematics in the World of Communication Technologies: Learning, Teaching and the Curriculum, was organised by Working Group 3.1, Informatics in Secondary Education, ofiFIP Technical Committee for Education, TC3. This is the third conference on this theme organised by WG 3.1, the previous two were held in Varna, Bulgaria, 1977, and Sofia, Bulgaria, 1987-proceedings published by North-Holland Elsevier. The aim of the conference was to take a forward look at the issue of the relationships between mathematics and the new technologies of information and communication in the context of the increased availability of interactive and dynamic information processing tools. The main focus was on the mathematics education of students in the age range of about ll to 18 years and the following themes were addressed: • Curriculum: curriculum evolution; relationships with informatics; • Teachers: professional development; methodology and practice; • Learners: tools and techniques; concept development; research and theory; • Human and social issues: culture and policy; personal impact.
Download or read book Theorems in School written by Paolo Boero and published by Sense Publishers. This book was released on 2007 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, addressing mathematics educators, teacher-trainers and teachers, is published as a contribution to the endeavour of renewing the teaching of proof (and theorems) on the basis of historical-epistemological, cognitive and didactical considerations.
Download or read book The Learning and Teaching of Geometry in Secondary Schools written by Pat Herbst and published by Taylor & Francis. This book was released on 2017-03-16 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Geometry in Secondary Schools reviews past and present research on the teaching and learning of geometry in secondary schools and proposes an approach for design research on secondary geometry instruction. Areas covered include: teaching and learning secondary geometry through history; the representations of geometric figures; students’ cognition in geometry; teacher knowledge, practice and, beliefs; teaching strategies, instructional improvement, and classroom interventions; research designs and problems for secondary geometry. Drawing on a team of international authors, this new text will be essential reading for experienced teachers of mathematics, graduate students, curriculum developers, researchers, and all those interested in exploring students’ study of geometry in secondary schools.
Download or read book Handbook of International Research in Mathematics Education written by Lyn D. English and published by Routledge. This book was released on 2010-04-02 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition continues the mission of bringing together important new mathematics education research that makes a difference in both theory and practice. It updates and extends the Handbook’s original key themes and issues for international research in mathematics education for the 21st century, namely: priorities in international mathematics education research lifelong democratic access to powerful mathematical ideas advances in research methodologies influences of advanced technologies. Each of these themes is examined in terms of learners, teachers, and learning contexts, with theory development being an important component of all these aspects. This edition also examines other catalysts that have gained increased import in recent years including a stronger focus on the teacher and teacher practice, a renewed interest in theory development, an increased focus on the mathematics needed in work place settings, and a proliferation of research designs and methodologies that have provided unprecedented opportunities for investigating (and ultimately improving) mathematical teaching and learning. This edition includes ten totally new chapters; all other chapters are thoroughly revised and updated.
Download or read book Digital Technologies in Designing Mathematics Education Tasks written by Allen Leung and published by Springer. This book was released on 2016-10-12 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the role and potential of using digital technology in designing teaching and learning tasks in the mathematics classroom. Digital technology has opened up different new educational spaces for the mathematics classroom in the past few decades and, as technology is constantly evolving, novel ideas and approaches are brewing to enrich these spaces with diverse didactical flavors. A key issue is always how technology can, or cannot, play epistemic and pedagogic roles in the mathematics classroom. The main purpose of this book is to explore mathematics task design when digital technology is part of the teaching and learning environment. What features of the technology used can be capitalized upon to design tasks that transform learners’ experiential knowledge, gained from using the technology, into conceptual mathematical knowledge? When do digital environments actually bring an essential (educationally, speaking) new dimension to classroom activities? What are some pragmatic and semiotic values of the technology used? These are some of the concerns addressed in the book by expert scholars in this area of research in mathematics education. This volume is the first devoted entirely to issues on designing mathematical tasks in digital teaching and learning environments, outlining different current research scenarios.
Download or read book Computers and Exploratory Learning written by Andrea A. DiSessa and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computers are playing a fundamental role in enhancing exploratory learning techniques in education. This volume in the NATO Special Programme on Advanced Educational Technology covers the state of the art in the design and use of computer systems for exploratory learning. Contributed chapters treat principles, theory, practice, and examples of some of the best contemporary computer-based learning environments: Logo, Boxer, Microworlds, Cabri-Géomètre, Star Logo, Table Top, Geomland, spreadsheets, Function Machines, and others. Emphasis is on mathematics and science education. Synthetic chapters provide an overview of the current scene in computers and exploratory learning, and analyses from the perspectives of epistemology, learning, and socio-cultural studies.
Download or read book A Design Approach to Research in Technology Enhanced Mathematics Education written by and published by Yishay Mor. This book was released on 2010 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Thesis Submitted for the Degree of Doctor of Philosophy, Institute of Education - University of London
Download or read book Broadening the Scope of Research on Mathematical Problem Solving written by Nélia Amado and published by Springer. This book was released on 2018-11-30 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore mathematical problem-solving across many fields: mathematics education, psychology of education, technology education, mathematics popularization, and more. The volume’s three major themes—technology, creativity, and affect—represent key issues that are crucially embedded in the activity of problem solving in mathematics teaching and learning, both within the school setting and beyond the school. Through the book’s new pedagogical perspectives on these themes, it advances the field of research towards a more comprehensive approach on mathematical problem solving. Broadening the Scope of Research on Mathematical Problem Solving will prove to be a valuable resource for researchers and teachers interested in mathematical problem solving, as well as researchers and teachers interested in technology, creativity, and affect.
Download or read book The Resource Approach to Mathematics Education written by Luc Trouche and published by Springer Nature. This book was released on 2019-11-29 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume will help educators better analyze methodological and practical tools designed to aid classroom instruction. It features papers that explore the need to create a system in order to fully meet the uncertainties and developments of modern educational phenomena. These have emerged due to the abundance of digital resources and new forms of collective work. The collected papers offer new perspectives to a rising field of research known as the Documentational Approach to Didactics. This framework was first created by the editors of this book. It seeks to develop a deeper understanding of mathematics teaching expertise. Readers will gain insight into how to meet the theoretical questions brought about by digitalization. These include: how to analyze teachers’ work when they prepare for their teaching, how to conceptualize the relationships between individual and collective work, and how to follow the related processes over the long term. The contributors also provide a comparative view in terms of contrasting selected phenomena across different educational cultures and education systems. For instance, they consider how differences in curriculum resources are available to teachers and how teachers make use of them to shape instruction. Coverage also considers the extent to which teachers make use of additional material, particularly those available through the global marketplace on the Internet. This book builds on works from the Re(s)sources 2018 Conference, Understanding teachers’ work through their interactions with resources for teaching, held in Lyon, France.
Download or read book Forging Connections in Early Mathematics Teaching and Learning written by Virginia Kinnear and published by Springer. This book was released on 2017-12-12 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book promotes thinking, dialogue, research and theorisation on multiple ways of making connections in mathematics teaching and learning in early childhood education. The book addresses some key challenges in research, policy and practice in early childhood mathematics education. It examines diverse ways for learning experiences to connect young children to mathematics, and the importance of forging connections between mathematics and young children’s lives as key elements in their engagement with mathematics. Each chapter provides research or theoretical provocations and pedagogical implications for connecting children’s lived experiences and ways of learning in mathematics teaching. The chapters are drawn from a range of international authors who raise important ideas within the overall context of current research and consider the theoretical and practical implications of their research. As such, the book advances current thinking on mathematics teaching and learning for children in the early years from birth to eight years with an emphasis on children aged birth to 5 years. It considers the purpose and value in connecting mathematics teaching and learning to children’s lives, and provides provocations for both educators and researchers on the many under-researched and under-represented aspects of early years mathematics teaching and learning.
Download or read book Learning and Teaching Mathematics written by Peter Bryant and published by Psychology Press. This book was released on 2016-01-28 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Newly available in paperback. Results of exciting new research.
