Mathematical Competencies In The Digital Era

Author : Uffe Thomas Jankvist,Eirini Geraniou
Publisher : Springer Nature
Page : 359 pages
File Size : 47,7 Mb
Release : 2023-02-20
Category : Education
ISBN : 9783031101410

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Mathematical Competencies in the Digital Era by Uffe Thomas Jankvist,Eirini Geraniou Pdf

This book focuses on the potential interplay between two distinct, yet related paradigm shifts in mathematics education, drawing on the notion of “networking of theories” through illustrative case studies from the Danish educational system and beyond. The first paradigm shift is the massive introduction of digital technology in the teaching and learning of the subject; the second is a shift from the traditional focusing on mastering of skills and knowledge to being concerned with the possession and development of mathematical competencies. This book builds on the Danish KOM (Competencies and the Learning of Mathematics) project, which sources its description of mathematical mastery primarily on the notion of a “mathematical competency” rather than on lists of topics, concepts, and results. This allows for an overarching framework, which captures the perspectives of mathematics teaching and learning at whichever educational level. While the KOM framework does not in detail address the role of digital technologies in relation to its description of different types of mathematical competencies, etc., the chapters of this book set out to do exactly this, while in the process also drawing on a selection of other theoretical constructs and frameworks from mathematics education research. Starting with introductory chapters by key researchers in the area, the book brings forth chapters for each of the KOM framework’s eight mathematical competencies, authored by Nordic researchers in combination with international scholars. The KOM framework also operates with three types of overview and judgement, which are specifically addressed in relation to the role of digital technologies in the third part of the book. The fourth and final part of the book broadens the scene and provides chapters of a more perspective nature in relation to mathematical competencies in the digital era. The book’s preface is by Susanne Prediger.

Author : Agida Manizade,Nils Buchholtz,Kim Beswick
Publisher : Springer Nature
Page : 380 pages
File Size : 46,8 Mb
Release : 2023-09-11
Category : Education
ISBN : 9783031311932

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The Evolution of Research on Teaching Mathematics by Agida Manizade,Nils Buchholtz,Kim Beswick Pdf

This open access book investigates current issues related to the evolution of research on teaching mathematics and examines up to thirty years of presage-process-product research (PPPR) in mathematics with respect to conceptualization, instrumentation, and design. The book discusses the theoretical and methodological challenges associated with PPPR, critically reviews current research, and explores the likely direction of further developments to identify future paths for research on high-quality mathematics teaching in the digital era. Subjects that are covered in this work focus on the relationships between 1) student learning outcomes measured upon completion of the mathematics teaching; 2) student learning activities in the classroom; 3) interactive mathematics teacher activities, and best practices in mathematics classrooms conducted in the presence of students; 4) pre-post-active mathematics teacher activities such as planning, assessment, and other teaching-related activities outside of the classroom; 5) mathematics teachers’ competencies, knowledge, and skills; and 6) mathematics teachers’ characteristics, including beliefs, attitudes, and motivation. This book discusses the evolution of such research in mathematics teaching and teacher education in the digital era and is of interest to researchers exploring the field of mathematics teaching and mathematics teacher education as well as educators.

Author : Alain Kuzniak,Elizabeth Montoya-Delgadillo,Philippe R. Richard
Publisher : Springer Nature
Page : 285 pages
File Size : 46,8 Mb
Release : 2022-03-31
Category : Education
ISBN : 9783030908508

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Mathematical Work in Educational Context by Alain Kuzniak,Elizabeth Montoya-Delgadillo,Philippe R. Richard Pdf

This book is a friendly and complete introduction to one of the most comprehensive contemporary theories of mathematics teaching and learning. By focusing on mathematical work performed by students and teachers during mathematics session, the theory of Mathematical Workings Spaces (MWS) has opened up new perspectives and avenues on mathematics education and mathematical thinking. In particular, it enables the identification of students' knowledge production processes and helps teachers to shape them. The first part of the book explores the heart of the theory and aims to further describe and understand epistemological and cognitive aspects of mathematical work. The second part develops the different MWS dedicated to observing how this work depends on the expectations of educational systems, how it is formed and taught, and how individuals appropriate it. In the last part, some applications and perspectives are discussed regarding topics of major importance today in mathematics education which relate to technological and digital tools, teacher training and modeling activities. In line with the spirit of the theory, the book was written to reflect the conceptual unity at the heart of the theory of MWS and, at the same time, to show the freedom and diversity of approaches given space therein. Written for researchers and professionals in mathematics education, it offers plenty of concrete examples from different educational systems around the world to illustrate the theoretical concepts and show the applicability of the theory to practice and research.

Author : Philippe R. Richard,M. Pilar Vélez,Steven Van Vaerenbergh
Publisher : Springer Nature
Page : 464 pages
File Size : 53,5 Mb
Release : 2022-03-09
Category : Education
ISBN : 9783030869090

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Mathematics Education in the Age of Artificial Intelligence by Philippe R. Richard,M. Pilar Vélez,Steven Van Vaerenbergh Pdf

This book highlights the contribution of artificial intelligence for mathematics education. It provides concrete ideas supported by mathematical work obtained through dynamic international collaboration, and discusses the flourishing of new mathematics in the contemporary world from a sustainable development perspective. Over the past thirty years, artificial intelligence has gradually infiltrated all facets of society. When it is deployed in interaction with the human designer or user, AI certainly raises new ethical questions. But as soon as it aims to augment intelligence in a kind of human-machine partnership, it goes to the heart of knowledge development and the very performance of work. The proposed themes and the sections of the book address original issues relating to the creation of AI milieus to work on mathematics, to the AI-supported learning of mathematics and to the coordination of « usual » paper/pencil techniques and « new » AI-aided educational working spaces. The authors of the book and the coordinators of each section are all established specialists in mathematics didactics, mathematics and computer science. In summary, this book is a must-read for everyone interested in the teaching and learning of mathematics, and it concerns the interaction between the human and the machine in both directions. It contains ideas, questions and inspiration that invite to take up the challenge of Artificial Intelligence contributing to Mathematical Human Learning.

Author : Claus Michelsen,Astrid Beckmann,Viktor Freiman,Uffe Thomas Jankvist,Annie Savard
Publisher : Springer Nature
Page : 560 pages
File Size : 54,5 Mb
Release : 2022-12-19
Category : Education
ISBN : 9783031105180

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Mathematics and Its Connections to the Arts and Sciences (MACAS) by Claus Michelsen,Astrid Beckmann,Viktor Freiman,Uffe Thomas Jankvist,Annie Savard Pdf

This book celebrates the 15th anniversary of the bi-annual symposium series Mathematics and its Connections to the Arts and Sciences (MACAS), which was first held in 2005 following the continued collaboration of an international group of researchers from ICME Topic Study Group 21. The MACAS-conferences bring together scientists and educators who are interested in the connection between mathematics, arts and science in educational curriculum, while emphasizing on, as well as researching about, the role of mathematics. By pooling together these different approaches and viewpoints between mathematics, arts and sciences, this book reveals possible synergies and paths for collaborations. In view of the challenges of the 21st century, a modern approach to education with a focus on multi- and interdisciplinarity is more important than ever. The role of mathematics assumes a key role in this approach as it is connected to all other disciplines, such as STEM education, physics, chemistry, biology, aesthetics and language, and can serve as a bridge between them. This book discusses, amongst others, the curricular approaches to integrate mathematics and other disciplines, the importance of mathematical modelling and the interdisciplinarity ways for learning and studying of mathematics, as well as the intercultural dimensions of mathematics and mathematics in the digital era. All topics will be presented from very different perspectives and regarding very different contexts, including digitization, culture and sustainability. This unique collection will serve as a very valuable and compact source for all above mentioned scientists and educators, as well as for use in advanced teacher education courses.

Author : Eleonora Faggiano,Francesca Ferrara,Antonella Montone
Publisher : Unknown
Page : 128 pages
File Size : 55,7 Mb
Release : 2017
Category : Educational innovations
ISBN : 3319614894

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Innovation and Technology Enhancing Mathematics Education by Eleonora Faggiano,Francesca Ferrara,Antonella Montone Pdf

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 : Annie Savard,Alexandre Cavalcante
Publisher : Springer Nature
Page : 115 pages
File Size : 54,8 Mb
Release : 2021-08-27
Category : Education
ISBN : 9783030735883

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Financial Numeracy in Mathematics Education by Annie Savard,Alexandre Cavalcante Pdf

This book presents the important role of mathematics in the teaching of financial education. Through a conceptualization of financial numeracy as a social practice, it focuses on the teaching practices, resources, and needs of secondary mathematics teachers (grades 7-12) to incorporate financial concepts in their classes. The editors and authors bring forth a novel perspective regarding mathematics education in the digital era. By focusing on financial numeracy, a key component of skills required in the digital era, they discuss important issues related to the teaching and learning of mathematics and finance. In contrary to most research in the field of financial education coming from scholars in areas such as business, accounting, management and economics, this book introduces the contribution of researchers from the field of education to the debate. The book appeals to an international audience composed of researchers, stakeholders, policymakers, teachers, and teacher educators.

Author : Anonim
Publisher : BRILL
Page : 414 pages
File Size : 54,5 Mb
Release : 2021-09-06
Category : Education
ISBN : 9789004501577

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Authentic Assessment and Evaluation Approaches and Practices in a Digital Era by Anonim Pdf

This book expertly illustrates the important process of authentic assessment and evaluation in the construction and dissemination of educational knowledge. One of the key strengths of this book is the diversity of contexts in which the various aspects of assessment are evidenced and discussed.

Author : Alison Clark-Wilson,Ornella Robutti,Nathalie Sinclair
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 40,7 Mb
Release : 2013-12-08
Category : Education
ISBN : 9789400746381

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The Mathematics Teacher in the Digital Era by Alison Clark-Wilson,Ornella Robutti,Nathalie Sinclair Pdf

This volume addresses the key issue of the initial education and lifelong professional learning of teachers of mathematics to enable them to realize the affordances of educational technology for mathematics. With invited contributions from leading scholars in the field, this volume contains a blend of research articles and descriptive texts. In the opening chapter John Mason invites the reader to engage in a number of mathematics tasks that highlight important features of technology-mediated mathematical activity. This is followed by three main sections: An overview of current practices in teachers’ use of digital technologies in the classroom and explorations of the possibilities for developing more effective practices drawing on a range of research perspectives (including grounded theory, enactivism and Valsiner’s zone theory). A set of chapters that share many common constructs (such as instrumental orchestration, instrumental distance and double instrumental genesis) and research settings that have emerged from the French research community, but have also been taken up by other colleagues. Meta-level considerations of research in the domain by contrasting different approaches and proposing connecting or uniting elements

Author : Marcel Danesi
Publisher : Springer
Page : 185 pages
File Size : 51,9 Mb
Release : 2016-04-29
Category : Education
ISBN : 9783319322803

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Learning and Teaching Mathematics in The Global Village by Marcel Danesi Pdf

This book provides a fundamental reassessment of mathematics education in the digital era. It constitutes a new mindset of how information and knowledge are processed by introducing new interconnective and interactive pedagogical approaches. Math education is catching up on technology, as courses and materials use digital sources and resources more and more. The time has come to evaluate this new dynamic, which transcends all previous use of ancillary devices to supplement classroom math instruction. Interactivity and interconnectivity with the online world of math and math texts (such as television programs and internet sites) can be integrated with our traditional modes for delivery of math instruction. This book looks at how this integration can unfold practically by applying these relevant pedagogical principles to elementary topics such as numeration, arithmetic, algebra, story problems, combinatorics, and basic probability theory. The book further exemplifies how mathematics can be connected to topics in popular culture, information technologies, and other such domains.

Author : Birgit Pepin
Publisher : Springer Nature
Page : 1405 pages
File Size : 46,9 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9783031456671

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Handbook of Digital Resources in Mathematics Education by Birgit Pepin Pdf

Author : Jonathan Borwein,E.M. Rocha,Jose Francisco Rodrigues
Publisher : CRC Press
Page : 325 pages
File Size : 48,9 Mb
Release : 2008-10-31
Category : Mathematics
ISBN : 9781439865231

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Communicating Mathematics in the Digital Era by Jonathan Borwein,E.M. Rocha,Jose Francisco Rodrigues Pdf

The digital era has dramatically changed the ways that researchers search, produce, publish, and disseminate their scientific work. These processes are still rapidly evolving due to improvements in information science, new achievements in computer science technologies, and initiatives such as DML and open access journals, digitization projects, sci

Author : Anonim
Publisher : Comunicacion Científica
Page : 319 pages
File Size : 49,6 Mb
Release : 2024-06-26
Category : Education
ISBN : 9786079104382

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Educación 4.0 en la época de pandemia y pospandemia : retos y oportunidades by Anonim Pdf

El libro que aquí se presenta Educación 4.0 en la época de Pandemia y Pospandemia: retos y oportunidades representa un esfuerzo consistente y pertinente que expone lecciones, aprendizajes y áreas de oportunidad que tienen las organizaciones de educación superior a partir del uso generalizado de tecnologías de la información y la comunicación (tic), durante y posterior a la pandemia por COVID-19. Esta obra está dirigida a los docentes y actores involucrados en los procesos educativos, pues no es conveniente dar vuelta a la hoja y retomar las antiguas prácticas presenciales y tradicionales después de todo el aprendizaje acumulado que se gestó durante esta etapa de contingencia, sino que estas experiencias nos conduzcan hacia escenarios de la Educación 4.0, indispensable para la conformación de ciudadanos del México del siglo XXI. DOI: https://doi.org/10.52501/cc.164

Author : Anonim
Publisher : BRILL
Page : 362 pages
File Size : 50,6 Mb
Release : 2023-10-09
Category : Education
ISBN : 9789004687912

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Programming and Computational Thinking in Technology Education by Anonim Pdf

In the last decade, programming and computational thinking (CT) have been introduced on a large scale in school curricula and standards all over the world. In countries such as the UK, a new school subject—computing—was created, whereas in countries such as Sweden, programming was included in existing subjects, notably mathematics and technology education. The introduction of programming and CT in technology education implies a particular relationship between programming and technology. Programming is usually performed with technological artefacts—various types of computers—and it can also be seen as a specific branch of engineering. This book analyses the background to and current implementation of programming and computational thinking in a Swedish school technology context, in relation to international developments. The various chapters deal with pertinent issues in technology education and its relation to computers and computing, for example, computational thinking and literacy, teachers’ programming competence, and computational thinking, programming, and learning in technology education. The book includes examples from educational research that could also be used as inspiration for school teaching, teacher education and curriculum development.

Author : Pee Choon Toh,Berinderjeet Kaur
Publisher : World Scientific
Page : 292 pages
File Size : 43,9 Mb
Release : 2016-05-20
Category : Mathematics
ISBN : 9789813143630

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Developing 21st Century Competencies in the Mathematics Classroom by Pee Choon Toh,Berinderjeet Kaur Pdf

The aim of this book is to contribute towards literature in the field of mathematics education, specifically the development of 21st century competencies amongst learners of mathematics. The book comprising fourteen chapters, written by renowned researchers in mathematics education, provides readers with approaches and applicable classroom strategies to foster skills and dispositions that will enable learners to thrive in the fast-changing and complex world that we live in today. The chapters in the book can be classified into three broad themes. The first is an examination of what is meant by 21st century competencies and how they can be developed within the context of the mathematics curriculum. The second is an in-depth discussion of evidence-based practices aimed at fostering specific competencies like metacognition and reflective thinking, critical thinking and communication skills. The last and third theme is about teaching approaches that are likely to feature increasingly in the 21st century classroom, for example flipped learning or the use of comics and storytelling. Contents:21st Century Competencies in Mathematics Classrooms (Pee Choon TOH & Berinderjeet KAUR)Mathematics Education, Virtues and 21st Century Competencies (Stephen THORNTON)Enriching Secondary Mathematics Education with 21st Century Competencies (WONG Khoon Yoong)Mathematics in 21st Century Life (Barry KISSANE)Mathematics Subject Mastery — A Must for Developing 21st Century Skills (Berinderjeet KAUR, WONG Lai Fong & Divya BHARDWAJ)Teaching in the 21st Century Mathematics Classroom: Metacognitive Questioning (Cynthia SETO)Listening and Responding to Children's Reflective Thinking: Two Case Studies on the Use of the National Assessment in Japan (Keiko HINO)Using Open-Ended Tasks to Foster 21st Century Learners at the Primary Level (YEO Kai Kow Joseph)Productive Talk in the Primary Mathematics Classroom (KOAY Phong Lee)Justification in Singapore Secondary Mathematics (CHUA Boon Liang)Examples in the Teaching of Mathematics: Teachers' Perceptions (Lay Keow NG & Jaguthsing DINDYAL)On the Efficacy of Flipped Classroom: Motivation and Cognitive Load (Weng Kin HO & Puay San CHAN)Use of Comics and Storytelling in Teaching Mathematics (TOH Tin Lam, CHENG Lu Pien, JIANG Heng & LIM Kam Ming)Game Theory: An Alternative Mathematical Experience (Ein-Ya GURA) Readership: Graduate students, researchers, practitioners and teachers in mathematics.