Processing Mathematics Through Digital Technologies
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Processing Mathematics Through Digital Technologies
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Author : Nigel Calder
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-01
Processing Mathematics Through Digital Technologies written by Nigel Calder and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-01 with Education categories.
Digital technologies permeate our lives. We use them to communicate, research, process, record, and for entertainment. They influence the way we interact in the world, the way we live. Digital technologies also offer the potential to transform the nature of the learning process in mathematics. The learning environment, the types of tasks learners can engage with, and the nature of that engagement differs from working in other environments. The Internet, for instance, presents greater scope for child-centered, inquiry-based learning. Dynamic geometry software and GoogleEarth offer interactive ways of exploring shape, position and space that is not possible with the pencil-and-paper medium. This book provides insights into how mathematical understanding emerged for primary-aged children (5-13 years) when they investigated mathematical tasks through digital media. It considers learning theories that are frequently used in mathematics education, and situates a contemporary interpretive approach within those perspectives. A key purpose was to provide some practical tasks for teachers/teacher educators to incorporate digital technologies into their mathematics programmes, tasks that have been used successfully for learning. This is a significant reference book for primary-school teacher education and a valuable resource for all schools teaching at that age.
Processing Mathematics Through Digital Technologies
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Author : Nigel Calder
language : en
Publisher:
Release Date : 2012
Processing Mathematics Through Digital Technologies written by Nigel Calder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
Digital Technologies In Designing Mathematics Education Tasks
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Author : Allen Leung
language : en
Publisher: Springer
Release Date : 2016-10-12
Digital Technologies In Designing Mathematics Education Tasks written by Allen Leung and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-12 with Education categories.
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.
Technology In Mathematics Teaching
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Author : Gilles Aldon
language : en
Publisher: Springer
Release Date : 2019-07-01
Technology In Mathematics Teaching written by Gilles Aldon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-01 with Education categories.
This book comprises chapters featuring a state of the art of research on digital technology in mathematics education. The chapters are extended versions of a selection of papers from the Proceedings of the 13th International Conference on Technology in Mathematics Teaching (ICTMT-13), which was held in Lyon, France, from July 3rd to 6th. ICTMT-13 gathered together over one hundred participants from twenty countries sharing research and empirical results on the topical issues of technology and its potential to improve mathematics teaching and learning. The chapters are organised into 4 themed parts, namely assessment in mathematics education and technology, which was the main focus of the conference, innovative technology and approaches to mathematics education, teacher education and professional development toward the technology use, and mathematics teaching and learning experiences with technology. In 13 chapters contained in the book, prominent mathematics educators from all over the world present the most recent theoretical and practical advances on these themes This book is of particular interest to researchers, teachers, teacher educators and other actors interested in digital technology in mathematics education.
Digital Technologies In Designing Mathematics Education Tasks
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Author : Allen Leung
language : en
Publisher: Springer
Release Date : 2016-10-21
Digital Technologies In Designing Mathematics Education Tasks written by Allen Leung and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-21 with Education categories.
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.
Mathematics Education And Technology Rethinking The Terrain
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Author : Celia Hoyles
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-09
Mathematics Education And Technology Rethinking The Terrain written by Celia Hoyles and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-09 with Education categories.
Mathematics Education and Technology-Rethinking the Terrain revisits the important 1985 ICMI Study on the influence of computers and informatics on mathematics and its teaching. The focus of this book, resulting from the seventeenth Study led by ICMI, is the use of digital technologies in mathematics teaching and learning in countries across the world. Specifically, it focuses on cultural diversity and how this diversity impinges on the use of digital technologies in mathematics teaching and learning. Within this focus, themes such as mathematics and mathematical practices; learning and assessing mathematics with and through digital technologies; teachers and teaching; design of learning environments and curricula; implementation of curricula and classroom practice; access, equity and socio-cultural issues; and connectivity and virtual networks for learning, serve to organize the study and bring it coherence. Providing a state-of-the-art view of the domain with regards to research, innovating practices and technological development, Mathematics Education and Technology-Rethinking the Terrain is of interest to researchers and all those interested in the role that digital technology plays in mathematics education.
Uses Of Technology In Primary And Secondary Mathematics Education
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Author : Lynda Ball
language : en
Publisher: Springer
Release Date : 2018-05-14
Uses Of Technology In Primary And Secondary Mathematics Education written by Lynda Ball and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-14 with Education categories.
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.
The Mathematics Teacher In The Digital Era
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Author : Alison Clark-Wilson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-08
The Mathematics Teacher In The Digital Era written by Alison Clark-Wilson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-08 with Education categories.
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
Scratch Ing Below The Surface
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Author : Nigel Calder
language : en
Publisher:
Release Date : 2010
Scratch Ing Below The Surface written by Nigel Calder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
A key element in the examination of how students process mathematics through digital technologies is considering the ways that digital pedagogical media might influence the learning process. How might students' understanding emerge through engagement in a digital-learning environment? Interactive software that has cross-curricula implications and facilitates thinking in rich, problem-solving environments is emerging. "Scratch", a free-to-download graphical programming environment provides opportunities for creative problem solving. This paper is part of an on-going study into the ways mathematical learning evolves through these alternative environments. It reports on a pilot research study involving 10-year-old children using "Scratch" to create mathematical digital learning objects, including games, and examines the ways mathematical thinking was facilitated through this process. (Contains 1 figure.) [For the complete proceedings, "Shaping the Future of Mathematics Education. Proceedings of the Annual Conference of the Mathematics Education Research Group of Australasia (33rd, Freemantle, Western Australia, Australia, July 3-7, 2010)," see ED520764.].
Proof Technology In Mathematics Research And Teaching
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Author : Gila Hanna
language : en
Publisher: Springer Nature
Release Date : 2019-10-02
Proof Technology In Mathematics Research And Teaching written by Gila Hanna and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-02 with Education categories.
This book presents chapters exploring the most recent developments in the role of technology in proving. The full range of topics related to this theme are explored, including computer proving, digital collaboration among mathematicians, mathematics teaching in schools and universities, and the use of the internet as a site of proof learning. Proving is sometimes thought to be the aspect of mathematical activity most resistant to the influence of technological change. While computational methods are well known to have a huge importance in applied mathematics, there is a perception that mathematicians seeking to derive new mathematical results are unaffected by the digital era. The reality is quite different. Digital technologies have transformed how mathematicians work together, how proof is taught in schools and universities, and even the nature of proof itself. Checking billions of cases in extremely large but finite sets, impossible a few decades ago, has now become a standard method of proof. Distributed proving, by teams of mathematicians working independently on sections of a problem, has become very much easier as digital communication facilitates the sharing and comparison of results. Proof assistants and dynamic proof environments have influenced the verification or refutation of conjectures, and ultimately how and why proof is taught in schools. And techniques from computer science for checking the validity of programs are being used to verify mathematical proofs. Chapters in this book include not only research reports and case studies, but also theoretical essays, reviews of the state of the art in selected areas, and historical studies. The authors are experts in the field.