Transformation - A Fundamental Idea of Mathematics Education

Transformation - A Fundamental Idea of Mathematics Education PDF Author: Sebastian Rezat
Publisher: Springer Science & Business Media
ISBN: 1461434890
Category : Education
Languages : en
Pages : 409

Book Description
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?

Proceedings of the 13th International Congress on Mathematical Education

Proceedings of the 13th International Congress on Mathematical Education PDF Author: Gabriele Kaiser
Publisher: Springer
ISBN: 3319625977
Category : Education
Languages : en
Pages : 766

Book Description
This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 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 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.

The Post-pandemic Landscape of Education and Beyond: Innovation and Transformation

The Post-pandemic Landscape of Education and Beyond: Innovation and Transformation PDF Author: Anna Wing Bo TSO
Publisher: Springer Nature
ISBN: 9811992177
Category : Education
Languages : en
Pages : 316

Book Description
With the purpose of exploring the critical possibilities offered by the global crisis of coronavirus pandemic, this volume presents the collected works of scholars, educators and practitioners worldwide, bringing to the readers a broad array of perspectives on how COVID-19 inspires us to rethink, redefine, and make sense of the theoretical and pedagogical approaches that can be applied in various educational contexts. Part One of the book provides an insightful exploration of the technology-mediated innovations used in English language learning and teaching. Part Two reflects on the online learning experiences of students, as well as the teachers’ strategies to cope with changes as the COVID-19 pandemic unleashed unprecedented disruptions in class. Part Three looks into a range of case studies regarding the digital divide, cross-border schooling, cyberbullying, and cross-disciplinary skill training in the post-pandemic workplace, highlighting the importance of creating a positive learning environment. Part Four draws on the observations and experiences of frontline teachers, to examine ways to optimize the digital learning experiences of students in and outside the classroom. This volume will be a useful reference for scholars in Education, Communication, Applied Linguistics, Social Work, and Positive Psychology.

The Theory of Objectification

The Theory of Objectification PDF Author: Luis Radford
Publisher: BRILL
ISBN: 9004459669
Category : Education
Languages : en
Pages : 273

Book Description
The theory of objectification offers a perspective to conceptualize learning as a collective cultural-historical process and to transform classrooms into sites of communal life where students make the experience of an ethics of solidarity, plurality, and inclusivity.

Digital Technologies in Designing Mathematics Education Tasks

Digital Technologies in Designing Mathematics Education Tasks PDF Author: Allen Leung
Publisher: Springer
ISBN: 3319434233
Category : Education
Languages : en
Pages : 352

Book Description
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.

Signs of Signification

Signs of Signification PDF Author: Norma Presmeg
Publisher: Springer
ISBN: 3319702874
Category : Education
Languages : en
Pages : 368

Book Description
This book discusses a significant area of mathematics education research in the last two decades and presents the types of semiotic theories that are employed in mathematics education. Following on the summary of significant issues presented in the Topical Survey, Semiotics in Mathematics Education, this book not only introduces readers to semiotics as the science of signs, but it also elaborates on issues that were highlighted in the Topical Survey. In addition to an introduction and a closing chapter, it presents 17 chapters based on presentations from Topic Study Group 54 at the ICME-13 (13th International Congress on Mathematical Education). The chapters are divided into four major sections, each of which has a distinct focus. After a brief introduction, each section starts with a chapter or chapters of a theoretical nature, followed by others that highlight the significance and usefulness of the relevant theory in empirical research.

Transforming Mathematics Instruction

Transforming Mathematics Instruction PDF Author: Yeping Li
Publisher: Springer
ISBN: 3319049933
Category : Education
Languages : en
Pages : 586

Book Description
This book surveys and examines different approaches and practices that contribute to the changes in mathematics instruction, including (1) innovative approaches that bring direct changes in classroom instructional practices, (2) curriculum reforms that introduce changes in content and requirements in classroom instruction, and (3) approaches in mathematics teacher education that aim to improve teachers’ expertise and practices. It also surveys relevant theory and methodology development in studying and assessing mathematics instruction. Classroom instruction is commonly seen as one of the key factors contributing to students’ learning of mathematics, but much remains to be understood about teachers’ instructional practices that lead to the development and enactment of effective classroom instruction, and approaches and practices developed and used to transform classroom instruction in different education systems. Transforming Mathematics Instruction is organized to help readers learn not only from reading individual chapters, but also from reading across chapters and sections to explore broader themes, including: - Identifying what is important in mathematics for teaching and learning emphasized in different approaches; - Exploring how students’ learning is considered and facilitated through different approaches and practices; - Understanding the nature of various approaches that are valued in different systems and cultural contexts; - Probing culturally valued approaches in identifying and evaluating effective instructional practices. The book brings new research and insights into multiple approaches and practices for transforming mathematics instruction to the international community of mathematics education, with 25 chapters and four section prefaces contributed by 56 scholars from 10 different education systems. This rich collection is indispensable reading for mathematics educators, researchers, teacher educators, curriculum developers, and graduate students interested in learning about different instructional practices, approaches for instructional transformation, and research in different education systems. It will help readers to reflect on approaches and practices that are useful for instructional changes in their own education systems, and also inspire them to identify and further explore new areas of research and program development in improving mathematics teaching and learning.

Visual-spatial Ability in STEM Education

Visual-spatial Ability in STEM Education PDF Author: Myint Swe Khine
Publisher: Springer
ISBN: 3319443852
Category : Education
Languages : en
Pages : 263

Book Description
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.

Transitions in Mathematics Education

Transitions in Mathematics Education PDF Author: Ghislaine Gueudet
Publisher: Springer
ISBN: 3319316222
Category : Education
Languages : en
Pages : 34

Book Description
This book examines the kinds of transitions that have been studied in mathematics education research. It defines transition as a process of change, and describes learning in an educational context as a transition process. The book focuses on research in the area of mathematics education, and starts out with a literature review, describing the epistemological, cognitive, institutional and sociocultural perspectives on transition. It then looks at the research questions posed in the studies and their link with transition, and examines the theoretical approaches and methods used. It explores whether the research conducted has led to the identification of continuous processes, successive steps, or discontinuities. It answers the question of whether there are difficulties attached to the discontinuities identified, and if so, whether the research proposes means to reduce the gap – to create a transition. The book concludes with directions for future research on transitions in mathematics education.

Approaches to Qualitative Research in Mathematics Education

Approaches to Qualitative Research in Mathematics Education PDF Author: Angelika Bikner-Ahsbahs
Publisher: Springer
ISBN: 9401791813
Category : Education
Languages : en
Pages : 592

Book Description
This volume documents a range of qualitative research approaches emerged within mathematics education over the last three decades, whilst at the same time revealing their underlying methodologies. Continuing the discussion as begun in the two 2003 ZDM issues dedicated to qualitative empirical methods, this book presents astate of the art overview on qualitative research in mathematics education and beyond. The structure of the book allows the reader to use it as an actual guide for the selection of an appropriate methodology, on a basis of both theoretical depth and practical implications. The methods and examples illustrate how different methodologies come to life when applied to a specific question in a specific context. Many of the methodologies described are also applicable outside mathematics education, but the examples provided are chosen so as to situate the approach in a mathematical context.