Download or read book Advanced Mathematical Thinking written by Annie Selden and published by Routledge. This book was released on 2013-10-15 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is Volume 7, Issue 1 2005, a Special Issue of 'Mathematical Thinking and Learning' which looks at Advanced Mathematical Thinking. Opening with a brief history of attempts to characterize advanced mathematical thinking, beginning with the deliberations of the Advanced Mathematical Thinking Working Group of the International Group for the Psychology of Mathematics Education. The articles follow the recurring themes: (a) the distinction between identifying kinds of thinking that might be regarded as advanced at any grade level and taking as advanced any thinking about mathematical topics considered advanced; (b) the utility of characterizing such thinking for integrating the entire curriculum; (c) general tests, or criteria, for identifying advanced mathematical thinking; and (d) an emphasis on advancing mathematical practices.

Download or read book Mathematics Education as a Research Domain A Search for Identity written by Anna Sierpinska and published by Springer. This book was released on 2013-03-14 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concepts, producing new teaching materials, and designing teaching units based on 'mathematicians' common sense' (or on logic) have not resulted in a better understanding of mathematics by more students. The failure of such efforts has raised questions suggesting that what was missing at the outset of these proposals, designs, and productions was a more profound knowledge of the phenomena of learning and teaching mathematics in socially established and culturally, politically, and economically justified institutions - namely, schools. Such knowledge cannot be built by mere juxtaposition of theories in disci plines such as psychology, sociology, and mathematics. Psychological theories focus on the individual learner. Theories of sociology of education look at the general laws of curriculum development, the specifics of pedagogic discourse as opposed to scientific discourse in general, the different possible pedagogic rela tions between the teacher and the taught, and other general problems in the inter face between education and society. Mathematics, aside from its theoretical contents, can be looked at from historical and epistemological points of view, clarifying the genetic development of its concepts, methods, and theories. This view can shed some light on the meaning of mathematical concepts and on the difficulties students have in teaching approaches that disregard the genetic development of these concepts.

Download or read book Translanguaging with Multilingual Students written by Ofelia García and published by Routledge. This book was released on 2016-06-10 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looking closely at what happens when translanguaging is actively taken up to teach emergent bilingual students across different contexts, this book focuses on how it is already happening in classrooms as well as how it can be implemented as a pedagogical orientation. It extends theoretical understandings of the concept and highlights its promises and challenges. Using a Transformative Action Research design, six empirically grounded ethnographic case studies describe how translanguaging is used in lesson designs and in the spontaneous moves made by teachers and students during specific teaching moments. The cases shed light on two questions: How, when, and why is translanguaging taken up or resisted by students and teachers? What does its use mean for them? Although grounded in a U.S. context, and specifically in classrooms in New York State, Translanguaging with Multilingual Students links findings and theories to different global contexts to offer important lessons for educators worldwide.

Download or read book Beliefs and Attitudes in Mathematics Education written by Jürgen Maasz and published by BRILL. This book was released on 2019-02-11 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tina Besley has edited this collection which examines and critiques the ways that different countries, particularly Commonwealth and European states, assess the quality of educational research in publicly funded higher education institutions. Such assessment often ranks universities, departments and even individual academics, and plays an important role in determining the allocation of funding to support university research.

Download or read book The AMTE Handbook of Mathematics Teacher Education written by Babette M. Benken and published by IAP. This book was released on 2024-02-01 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new volume of The Association of Mathematics Teacher Educators (AMTE) Professional Book Series is a critical and timely resource that paves the way and guides the future of mathematics teacher education. The collection of work in this AMTE Handbook of Mathematics Teacher Education reflects on research and what we know about how best to prepare and support both mathematics teachers and mathematics teacher educators and presents what is happening in the field. Examples included in the 22 chapters highlight how we are preparing teachers across multiple contexts (e.g., within district, in content courses for the major) and grade ranges (K-20+) and all chapters highlight relevant connections to the AMTE Standards for Preparing Teachers of Mathematics. Most importantly, this volume explores what we do not yet fully understand and where we are going. In essence, it considers how we can move the field forward. The 95 contributing authors range from graduate students to those who have served as leaders in the field in multiple ways for many years. Authors include K-12 teachers, school administrators, district leaders, graduate students, higher education faculty, and professional development facilitators.

Download or read book And the Rest is Just Algebra written by Sepideh Stewart and published by Springer. This book was released on 2016-10-20 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses college students' weak foundation in algebra, its causes, and potential solutions to improve their long-term success and understanding in mathematics as a whole. The authors, who are experts in a wide variety of fields, emphasize that these difficulties are more complex than just forgotten rules, and offer strategic approaches from a number of angles that will increase the chances of student understanding. Instructors who are frustrated with their students’ lack of skills and knowledge at college level will find this volume helpful, as the authors confront the deeper reasons why students have difficulties with Algebra and reveal how to remedy the issue.

Download or read book Global Issues and Comparative Education written by Wendy Bignold and published by Learning Matters. This book was released on 2009-06-30 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Almost every Education Studies degree includes an element of comparative education, and this book provides an accessible undergraduate-level introduction to the theme. It begins by defining what is meant by the term ′comparative education′ and examines the benefits of studying it to students, policy makers, educators and academics. The book then takes a largely age-phase approach with a comparative analysis of selected education systems from around the world, including the impact of globalisation.

Download or read book New Ground written by Karen S. Sullenger and published by Springer. This book was released on 2015-05-07 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Between 2004 and 2009, university educators, practicing scientists, museum and science-centre personnel, historians, and K-12 teachers in Canada’s eastern Atlantic provinces came together as a research community to investigate informal learning in science, technology, and mathematics. The interdisciplinary collaboration, known as CRYSTAL Atlantique, was sponsored by Canada’s National Science and Engineering Research Council. In this volume, the CRYSTAL participants look back on their collective experience and describe research projects that pushed the boundaries of informal teaching and learning. Those projects include encounters between students and practicing scientists in university laboratories and field studies; summer camps for science engagement; after-school science clubs for teachers and students; innovative software for computer assisted learning; environmental problem-solving in a comparative, international context; online communities devoted to solving mathematical problems; and explorations of ethonomathematics among Canadian aboriginal peoples. The editors and contributors stress the need for research on informal learning to be informed continuously by a notion of science as culture, and they analyze the forms of resistance that studies of informal learning frequently encounter. Above all, they urge a more central place for informal science learning in the larger agenda of educational research today.

Download or read book Lesson Study with Mathematics and Science Preservice Teachers written by Sharon Dotger and published by Taylor & Francis. This book was released on 2023-10-13 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This insightful volume offers an overview of the fundamentals of lesson student practice in US teacher education as well as examples from math and science teacher educators using lesson study in their local contexts. The number of teacher educators using lesson study with preservice teachers is small but growing. This book is aimed at teacher educators who may want to try lesson study in university contexts without the challenge of translating the practice from the K-12 context on their own. In this volume, lesson study is broadly overviewed, attention is given to its constituent steps, and examples of lesson study in preservice contexts are shared. Given the broad array of teacher education program designs, numerous contingencies guide teacher educators in their implementation of lesson study, given their contextual affordances and limitations. The lesson study descriptions and cases in this book will support teacher educators and scholars across subject specialities and geographic lines, as they seek instructional frameworks to advance their pedagogical goals.

Download or read book Invited Lectures from the 13th International Congress on Mathematical Education written by Gabriele Kaiser and published by Springer. This book was released on 2018-02-05 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the Invited Lectures given at 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 – the biggest ICME so far - brought together about 3500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. The scholars came together to share their work on the improvement of mathematics education at all educational levels.. The papers present the work of prominent mathematics educators from all over the globe and give insight into the current discussion in mathematics education. The Invited Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.

Download or read book Curriculum and Teaching Dialogue written by Bradley Conrad and published by IAP. This book was released on 2024-10-01 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Curriculum and Teaching Dialogue is a peer-reviewed journal sponsored by the American Association for Teaching and Curriculum (AATC). The purpose of the journal is to promote the scholarly study of teaching and curriculum. The aim is to provide readers with knowledge and strategies of teaching and curriculum that can be used in educational settings. The journal is published annually in two volumes and includes traditional research papers, conceptual essays, as well as research outtakes and book reviews. Publication in CTD is always free to authors. Information about the journal is located on the AATC website and can be found on the Journal tab.

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 The SAGE Handbook of Special Education written by Lani Florian and published by SAGE. This book was released on 2013-12-14 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of The SAGE Handbook of Special Education provides a comprehensive overview of special education, offering a wide range of views on key issues from all over the world. The contributors bring together up-to-date theory, research and innovations in practice, with an emphasis on future directions for the role of special education in a global context of inclusion. This brand new edition features: " New chapters on families, interagency collaboration and issues of lifelong learning " The UN Convention on the Rights of Persons with Disabilities " Policy reform proposals " Equity and social justice in education " The impact of new thinking on assessment " Issues and developments in classification " The preparation and qualifications that teachers need The Handbook′s breadth, clarity and academic rigour will make it essential reading for researchers and postgraduate students, and also for practitioners, teachers, school managers and administrators.

Download or read book The Role of Mathematics Discourse in Producing Leaders of Discourse written by Libby Knott and published by IAP. This book was released on 2010-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intent of this monograph is to showcase successful implementation of mathematical discourse in the classroom. Some questions that might be addressed are: * How does a teacher begin to learn about using discourse purposefully to improve mathematics teaching and learning? * How is discourse interwoven into professional development content courses to provide teachers with the tools necessary to begin using discourse in their own classrooms? * What does a discourse-rich classroom look like and how is it different from other classrooms, from both the teacher's and the students' perspectives? * How can teachers of pre-service teachers integrate discourse into their content and methods courses? * How can we use discourse research to inform work with teachers, both pre- and in-service, for example, to help them know how to respond to elicited knowledge from students in their classrooms? * What are the discourse challenges in on-line mathematics courses offered for professional development? Can on-line classrooms also be discourse-rich? What would that look like? * In what ways does mathematical discourse differ from discourse in general?

Download or read book Mental Computation and Estimation written by Charalampos Lemonidis and published by Routledge. This book was released on 2015-12-01 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mental calculations and estimations are basic, everyday skills that are essential for real-life arithmetic operations and number sense. This book presents a much needed overview and analysis of mental computation and estimation, drawing on contemporary research and empirical studies that were conducted on students, teachers and adults to cover all aspects of this complex field. Mental Computation and Estimation analyses the implications that are involved in the research, teaching and learning of mathematics and delivers effective practices that will enhance everyday learning for students. Focusing on a range of international research and studies from the School of Nature and Life Mathematics in Greece, it answers a number of important questions including: What mental calculations and estimations are, why they are important and what other mathematical concepts and cognitive behaviors are they related to? What strategies are used on mental additions, subtractions, multiplications and divisions and how are multiplication tables learned? What are the new trends in the teaching of mental calculation and estimation? An invaluable resource for all those involved in the practice and research of mathematics education, Mental Computation and Estimation will also be a useful tool for researchers, policy makers and developers of educational programs.

Download or read book Teacher Noticing Bridging and Broadening Perspectives Contexts and Frameworks written by Edna O. Schack and published by Springer. This book was released on 2017-05-16 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reflects on the continuing development of teacher noticing through an exploration of the latest research. The authors and editors seek to clarify the construct of teacher noticing and its related branches and respond to challenges brought forth in earlier research. The authors also investigate teacher noticing in multiple contexts and frameworks, including mathematics, science, international venues, and various age groups.

Download or read book Text Sets written by Joanne Kilgour Dowdy and published by BRILL. This book was released on 2018-07-17 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Text Sets: Multimodal Learning for Multicultural Students integrates a multicultural approach to teaching with standards-based instruction and multimodal learning opportunities in a variety of content areas. This unique combination allows teachers to meet the demands of their curriculum while recognizing and honoring the diverse students in their classroom. Each chapter provides an annotated text set with a specific theme, curricular goals, and instructional activities that suggest ways for students to interact with the texts. In addition to providing ready-made text sets, it models a framework for teachers to build their own text sets based on the individual needs of their schools and communities.