The Influence of Computing on Mathematical Research and Education

The Influence of Computing on Mathematical Research and Education PDF Author: Joseph P. La Salle
Publisher: American Mathematical Soc.
ISBN: 9780821867297
Category : Mathematics
Languages : en
Pages : 220

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Book Description

The Influence of Computing on Mathematical Research and Education

The Influence of Computing on Mathematical Research and Education PDF Author: Joseph P. La Salle
Publisher: American Mathematical Soc.
ISBN: 9780821867297
Category : Mathematics
Languages : en
Pages : 220

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Book Description


Uses of Technology in Lower Secondary Mathematics Education

Uses of Technology in Lower Secondary Mathematics Education PDF Author: Paul Drijvers
Publisher: Springer
ISBN: 3319336665
Category : Education
Languages : en
Pages : 41

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Book Description
This topical survey provides an overview of the current state of the art in technology use in mathematics education, including both practice-oriented experiences and research-based evidence, as seen from an international perspective. Three core themes are discussed: Evidence of effectiveness; Digital assessment; and Communication and collaboration. The survey’s final section offers suggestions for future trends in technology-rich mathematics education and provides a research agenda reflecting those trends. Predicting what lower secondary mathematics education might look like in 2025 with respect to the role of digital tools in curricula, teaching and learning, it examines the question of how teachers can integrate physical and virtual experiences to promote a deeper understanding of mathematics. The issues and findings presented here provide an overview of current research and offer a glimpse into a potential future characterized by the effective integration of technology to support mathematics teaching and learning at the lower secondary level.

Mathematics Education and Technology-Rethinking the Terrain

Mathematics Education and Technology-Rethinking the Terrain PDF Author: Celia Hoyles
Publisher: Springer Science & Business Media
ISBN: 1441901469
Category : Education
Languages : en
Pages : 489

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Book Description
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.

Mindstorms

Mindstorms PDF Author: Seymour A Papert
Publisher: Basic Books
ISBN: 154167510X
Category : Education
Languages : en
Pages : 256

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Book Description
In this revolutionary book, a renowned computer scientist explains the importance of teaching children the basics of computing and how it can prepare them to succeed in the ever-evolving tech world. Computers have completely changed the way we teach children. We have Mindstorms to thank for that. In this book, pioneering computer scientist Seymour Papert uses the invention of LOGO, the first child-friendly programming language, to make the case for the value of teaching children with computers. Papert argues that children are more than capable of mastering computers, and that teaching computational processes like de-bugging in the classroom can change the way we learn everything else. He also shows that schools saturated with technology can actually improve socialization and interaction among students and between students and teachers. Technology changes every day, but the basic ways that computers can help us learn remain. For thousands of teachers and parents who have sought creative ways to help children learn with computers, Mindstorms is their bible.

Proof Technology in Mathematics Research and Teaching

Proof Technology in Mathematics Research and Teaching PDF Author: Gila Hanna
Publisher: Springer Nature
ISBN: 3030284832
Category : Education
Languages : en
Pages : 374

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Book Description
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.

Affect and Mathematics Education

Affect and Mathematics Education PDF Author: Markku S. Hannula
Publisher: Springer
ISBN: 3030137619
Category : Education
Languages : en
Pages : 437

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Book Description
This open access book, inspired by the ICME 13 topic study group “Affect, beliefs and identity in mathematics education”, presents the latest trends in research in the area. Following an introduction and a survey chapter providing a concise overview of the state-of-art in the field of mathematics-related affect, the book is divided into three main sections: motivation and values, engagement, and identity in mathematics education. Each section comprises several independent chapters based on original research, as well as a reflective commentary by an expert in the area. Collectively, the chapters present a rich methodological spectrum, from narrative analysis to structural equation modelling. In the final chapter, the editors look ahead to future directions in the area of mathematics-education-related affect. It is a timely resource for all those interested in the interaction between affect and mathematics education.

Learning from Computers: Mathematics Education and Technology

Learning from Computers: Mathematics Education and Technology PDF Author: Christine Keitel-Kreidt
Publisher: Springer Science & Business Media
ISBN: 3642785425
Category : Education
Languages : en
Pages : 351

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Book Description
The NATO Advanced Research Workshop on Mathematics Education and Technology was held in Villard-de-Lans, France, between May 6 and 11, 1993. Organised on the initiative of the BaCoMET (Basic Components of Mathematics Education for Teachers) group (Christiansen, Howson and Otte 1986; Bishop, Mellin-Olsen and van Dormolen 1991), the workshop formed part of a larger NATO programme on Advanced Educational Technology. Some workshop members had already participated in earlier events in this series and were able to contribute insights from them: similarly some members were to take part in later events. The problematic for the workshop drew attention to important speculative developments in the applications of advanced information technology in mathematics education over the last decade, notably intelligent tutoring, geometric construction, symbolic algebra and statistical analysis. Over the same period, more elementary forms of information technology had started to have a significant influence on teaching approaches and curriculum content: notably arithmetic and graphic calculators; standard computer tools, such as spreadsheets and databases; and computer-assisted learning packages and computer microworlds specially designed for educational purposes.

Research and Development in University Mathematics Education

Research and Development in University Mathematics Education PDF Author: Viviane Durand-Guerrier
Publisher: Routledge
ISBN: 1000369285
Category : Education
Languages : en
Pages : 244

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Book Description
In the last thirty years or so, the need to address the challenges of teaching and learning mathematics at university level has become increasingly appreciated by university mathematics teachers, and beyond, by educational institutions around the world. Indeed, mathematics is both a condition and an obstacle to success for students in many educational programmes vital to the 21st century knowledge society, for example in pure and applied mathematics, engineering, natural sciences, technology, economics, finance, management and so on. This breadth of impact of mathematics implies the urgency of developing research in university mathematics education, and of sharing results of this research widely. This book provides a bespoke opportunity for an international audience of researchers in didactics of mathematics, mathematicians and any teacher or researcher with an interest in this area to be informed about state-of-the-art developments and to heed future research agendas. This book emerged from the activities of the research project INDRUM (acronym for International Network for Didactic Research in University Mathematics), which aims to contribute to the development of research in didactics of mathematics at all levels of tertiary education, with a particular concern for the development of early-career researchers in the field and for dialogue with university mathematicians. The aim of the book is to provide a deep synthesis of the research field as it appears through two INDRUM conferences organised in 2016 and 2018. It is an original contribution which highlights key research perspectives, addresses seminal theoretical and methodological issues and reports substantial results concerning the teaching and learning of mathematics at university level, including the teaching and learning of specific topics in advanced mathematics across a wide range of university programmes.

Finnish Innovations and Technologies in Schools

Finnish Innovations and Technologies in Schools PDF Author: Hannele Niemi
Publisher: Springer
ISBN: 9462097496
Category : Education
Languages : en
Pages : 177

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Book Description
This book combines several perspectives on the steps the Finnish educational system has taken to provide students with the skills and competences needed for living in today’s society and in the future. The ecosystem is used as a metaphor for the educational system. The Finnish system aims to achieve sustainable education by ensuring that the system is simultaneously interconnected and open to transformations. The book describes how a flexible curriculum system is succeeding without the pressures of high-stake testing. It also illustrates how the ongoing curriculum reform of the basic education is working. The book brings together knowledge gained in schools through the cooperation of researchers, teachers, school principals, the public sector, and private companies. The book presents case studies of technology integration aimed at crossing boundaries in formal and informal learning settings, locally and globally. The contributors address 21st-century needs and requirements through learner-driven knowledge creation, collaboration, networking, and digital literacies. It opens new scenarios of how to apply digital storytelling and games connecting fun, motivation, and learning. The strong message is that, through collaboration and networking, we can create an educational ecosystem that supports different learners.

Number Theory and Cryptography

Number Theory and Cryptography PDF Author: J. H. Loxton
Publisher: Cambridge University Press
ISBN: 0521398770
Category : Mathematics
Languages : en
Pages : 249

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Book Description
Papers presented by prominent contributors at a workshop on Number Theory and Cryptography, and the annual meeting of the Australian Mathematical Society.