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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.
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.
This survey addresses the use of technology in upper secondary mathematics education from four points of view: theoretical analysis of epistemological and cognitive aspects of activity in new technology mediated learning environments, the changes brought by technology in the interactions between environment, students and teachers, the interrelations between mathematical activities and technology, skills and competencies that must be developed in teacher education. Research shows that the use of some technologies may deeply change the solving processes and contribute to impact the learning processes. The questions are which technologies to choose for which purposes, and how to integrate them, so as to maximize all students' agency. In particular the role of the teacher in classrooms and the content of teacher education programs are critical for taking full advantage of technology in teaching practice. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.
Mathematics Education with Digital Technology examines ways in which widely available digital technologies can be used to benefit the teaching and learning of mathematics. The contributors offer their insights to locate the value of digital technology for mathematics learning within the context of evidence from documented practice, prior research and of educational policy making. Key pedagogical uses of digital technologies are evaluated in relation to effective mathematics learning and practical ideas for teaching and learning mathematics with digital technology are critically analysed. The volume concludes by looking at future developments and by considering the ways in which ICT could be used as a catalyst for cross-curricular work to achieve greater curricular coherence.
This document contains papers presented at the 19th annual conference of the Mathematics Education Research Group of Australasia. Topics of the presentations include learning research, mathematical representations, problem solving, strategic learning behaviors, algebraic thinking and learning environments, teaching and learning of algebra, assessment, disabilities, calculators, collective argumentation, teachers' beliefs and practice, primary mathematics, differential calculus, teachers' knowledge, trigonometry and geometry, professional development, issues in teaching, standardizing the curriculum, team writing, statistics, Newman error analysis, gender issues, Internet, transition to secondary mathematics, computers and technology, negative numbers, subtraction, aboriginal educators' views, graphics calculators, language, area, probability, word problems, classroom communication, mathematical investigations, ethics and morality, integrating science and mathematics concepts, students' attitudes, instructional computing, expository writing, mathematical autobiographies, problem posing, misconceptions, discussion-based teaching, the Riemann integral, diagrams for solving word problems, fairness and fractions in early childhood, children's probability judgments, phenomenology of writing-to-learn, teachers' beliefs about teaching behaviors, and linear programming. An author index and a subject index are also included. (JRH)
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.
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
“This is a book all mathematics teachers and teacher educators should read! It brings together a wealth of insights from a range of authors… The major issues confronting teachers of mathematics who wish to use ICT in different domains of mathematics are addressed in a clear and accessible way.” Professor Celia Hoyles OBE, Dean of Research and Consultancy, Institute of Education, University of London Teaching Secondary Mathematics with ICT shows the reader how to use Information and Communication Technology (ICT) effectively to enhance the teaching of mathematics in the secondary school. The book explains which forms of technology can be used to improve mathematics teaching and learning, how to get started and where to go for further information. The first two chapters provide a useful introduction for those new to teaching mathematics with ICT. Further chapters cover topics including: ICT and the curriculum: number, algebra, geometry and statistics Making use of interactive whiteboards in the classroom Using the internet and video-conferencing to enhance teaching The book includes practical classroom scenarios and case studies (for example, the government-funded MathsAlive! Initiative), as well as discussions of general issues, such as the role of feedback and the use of ICT in whole-class teaching. It draws on current research and is supplemented by a linked web site, which provides access to demonstration copies of software and sample files. It also includes a directory of resources with lists of organisations, web sites, projects and further reading. Key reading for Education students specialising in Mathematics and all those teaching secondary mathematics, including non-specialists and those on professional development courses. Visit the text-supporting website: www.openup.co.uk/jwp
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.