Humans-with-Media and the Reorganization of Mathematical Thinking PDF Download
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Author: Marcelo C. Borba
Publisher: Springer Science & Business Media
ISBN: 9780387242637
Category : Education
Languages : en
Pages : 264
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Book Description
This book offers a new conceptual framework for reflecting on the role of information and communication technology in mathematics education. Discussion focuses on how computers, writing and oral discourse transform education at an epistemological as well as a political level. Building on examples, research and theory, the authors propose that knowledge is not constructed solely by humans, but by collectives of humans and technologies of intelligence.
Author: Marcelo C. Borba
Publisher: Springer Science & Business Media
ISBN: 9780387242637
Category : Education
Languages : en
Pages : 264
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Book Description
This book offers a new conceptual framework for reflecting on the role of information and communication technology in mathematics education. Discussion focuses on how computers, writing and oral discourse transform education at an epistemological as well as a political level. Building on examples, research and theory, the authors propose that knowledge is not constructed solely by humans, but by collectives of humans and technologies of intelligence.
Author: Susana Carreira
Publisher: Springer
ISBN: 331924910X
Category : Education
Languages : en
Pages : 269
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Book Description
This book contributes to both mathematical problem solving and the communication of mathematics by students, and the role of personal and home technologies in learning beyond school. It does this by reporting on major results and implications of the Problem@Web project that investigated youngsters’ mathematical problem solving and, in particular, their use of digital technologies in tackling, and communicating the results of their problem solving, in environments beyond school. The book has two focuses: Mathematical problem solving skills and strategies, forms of representing and expressing mathematical thinking, technological-based solutions; and students ́ and teachers ́ perspectives on mathematics learning, especially school compared to beyond-school mathematics.
Author: Lim Chap Sam
Publisher: Penerbit USM
ISBN: 9674614117
Category : Mathematics
Languages : en
Pages : 302
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Book Description
This book presents an exceptional collection of 11 articles on contemporary research studies that address current and critical issues of researches, theories and practices in the fields of mathematics education at various levels from primary to tertiary education. In addition, the book covers various innovative research studies from both local and abroad such as cognitive diagnostic assessment (CDA) and assessment for learning (AfL), teaching and learning of mathematics using the dynamic geometry software (DGS), action-process-object-schema (APOS) theory and relationship mapping and inverse (RMI) principle, as well as mathematics lesson structure (MLS) and collaborative lesson research (CLR). The contents of this book should be of interest to both national and international researchers and scholars, particularly mathematics educators, mathematics education researchers, teacher trainers, university students, teachers, curriculum planners, as well as policymakers.
Author: Birgit Pepin
Publisher: Springer Nature
ISBN: 303145667X
Category :
Languages : en
Pages : 1405
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Book Description
Author: Eleonora Faggiano
Publisher: Springer
ISBN: 3319614886
Category : Education
Languages : en
Pages : 258
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Book Description
This book addresses key issues of Technology and Innovation(s) in Mathematics Education, drawing on heterogeneous ways of positioning about innovation in mathematical practice with technology. The book offers ideas and meanings of innovation as they emerge from the entanglement of the various researchers with the mathematical practice, the teacher training program, the student learning and engagement, or the research method that they are telling stories about. The multiple theoretical or empirical perspectives capture a rich landscape, in which the presence of digital technology entails the emergence of new practices, techniques, environments and devices, or new ways of making sense of technology in research, teaching and learning.
Author: Ángel Gutiérrez
Publisher: Springer
ISBN: 9463005617
Category : Education
Languages : en
Pages : 571
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Book Description
Since its establishment in 1976, PME (The International Group for the Psychology of Mathematics Education) is serving as a much sought after venue for scientific debate among those at the cutting edge of the field, as well as an engine for the development of research in mathematics education. A wide range of research activities conducted over the last ten years by PME members and their colleagues are documented and critically reviewed in this handbook, released to celebrate the Group’s 40 year anniversary milestone. The book is divided into four main sections: Cognitive aspects of learning and teaching content areas; Cognitive aspects of learning and teaching transverse areas; Social aspects of learning and teaching mathematics; and Professional aspects of teaching mathematics. The selection for each chapter of a team of at least two authors, mostly located in different parts of the world, ensured effective coverage of each field. High quality was further enhanced by the scrupulous review of early chapter drafts by two leaders in the relevant field. The resulting volume with its compilation of the most relevant aspects of research in the field, and its emphasis on trends and future developments, will be a rich and welcome resource for both mature and emerging researchers in mathematics education.
Author: Kay Owens
Publisher: Springer
ISBN: 3319024639
Category : Education
Languages : en
Pages : 404
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Book Description
This book develops the theoretical perspective on visuospatial reasoning in ecocultural contexts, granting insights on how the language, gestures, and representations of different cultures reflect visuospatial reasoning in context. For a number of years, two themes in the field of mathematics education have run parallel with each other with only a passing acquaintance. These two areas are the psychological perspective on visuospatial reasoning and ecocultural perspectives on mathematics education. This volume examines both areas of research and explores the intersection of these powerful ideas. In addition, there has been a growing interest in sociocultural aspects of education and in particular that of Indigenous education in the field of mathematics education. There has not, however, been a sound analysis of how environmental and cultural contexts impact visuospatial reasoning, although it was noted as far back as the 1980s when Alan Bishop developed his duality of visual processing and interpreting visual information. This book provides this analysis and in so doing not only articulates new and worthwhile lines of research, but also uncovers and makes real a variety of useful professional approaches in teaching school mathematics. With a renewed interest in visuospatial reasoning in the mathematics education community, this volume is extremely timely and adds significantly to current literature on the topic.
Author: Lynda Ball
Publisher: Springer
ISBN: 3319765752
Category : Education
Languages : en
Pages : 430
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Book Description
This book provides international perspectives on the use of digital technologies in primary, lower secondary and upper secondary school mathematics. It gathers contributions by the members of three topic study groups from the 13th International Congress on Mathematical Education and covers a range of themes that will appeal to researchers and practitioners alike. The chapters include studies on technologies such as virtual manipulatives, apps, custom-built assessment tools, dynamic geometry, computer algebra systems and communication tools. Chiefly focusing on teaching and learning mathematics, the book also includes two chapters that address the evidence for technologies’ effects on school mathematics. The diverse technologies considered provide a broad overview of the potential that digital solutions hold in connection with teaching and learning. The chapters provide both a snapshot of the status quo of technologies in school mathematics, and outline how they might impact school mathematics ten to twenty years from now.
Author: Lingguo Bu
Publisher: Springer Science & Business Media
ISBN: 946091618X
Category : Education
Languages : en
Pages : 249
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Book Description
Model-Centered Learning: Pathways to Mathematical Understanding Using GeoGebra is the first book to report on the international use of GeoGebra and its growing impact on mathematics teaching and learning. Supported by new developments in model-centered learning and instruction, the chapters in this book move beyond the traditional views of mathematics and mathematics teaching, providing theoretical perspectives and examples of practice for enhancing students’ mathematical understanding through mathematical and didactical modeling. Designed specifically for teaching mathematics, GeoGebra integrates dynamic multiple representations in a conceptually rich learning environment that supports the exploration, construction, and evaluation of mathematical models and simulations. The open source nature of GeoGebra has led to a growing international community of mathematicians, teacher educators, and classroom teachers who seek to tackle the challenges and complexity of mathematics education through a grassroots initiative using instructional innovations. The chapters cover six themes: 1) the history, philosophy, and theory behind GeoGebra, 2) dynamic models and simulations, 3) problem solving and attitude change, 4) GeoGebra as a cognitive and didactical tool, 5) curricular challenges and initiatives, 6) equity and sustainability in technology use. This book should be of interest to mathematics educators, mathematicians, and graduate students in STEM education and instructional technologies.
Author: Tom Lowrie
Publisher: Springer
ISBN: 9401795177
Category : Education
Languages : en
Pages : 318
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Book Description
Digital games offer enormous potential for learning and engagement in mathematics ideas and processes. This volume offers multidisciplinary perspectives—of educators, cognitive scientists, psychologists and sociologists—on how digital games influence the social activities and mathematical ideas of learners/gamers. Contributing authors identify opportunities for broadening current understandings of how mathematical ideas are fostered (and embedded) within digital game environments. In particular, the volume advocates for new and different ways of thinking about mathematics in our digital age—proposing that these mathematical ideas and numeracy practices are distinct from new literacies or multiliteracies. The authors acknowledge that the promise of digital games has not always been realised/fulfilled. There is emerging, and considerable, evidence to suggest that traditional discipline boundaries restrict opportunities for mathematical learning. Throughout the book, what constitutes mathematics learnings and pedagogy is contested. Multidisciplinary viewpoints are used to describe and understand the potential of digital games for learning mathematics and identify current tensions within the field. Mathematics learning is defined as being about problem solving; engagement in mathematical ideas and processes; and social engagement. The artefact, which is the game, shapes the ways in which the gamers engage with the social activity of gaming. In parallel, the book (as a te xtual artefact) will be supported by Springer’s online platform—allowing for video and digital communication (including links to relevant websites) to be used as supplementary material and establish a dynamic communication space.
