Download or read book The Mathematics Teacher in the Digital Era written by Alison Clark-Wilson and published by Springer Science & Business Media. This book was released on 2013-12-08 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book A History of Chinese Mathematics written by Jean-Claude Martzloff and published by Springer. This book was released on 2007-08-17 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is made up of two parts, the first devoted to general, historical and cultural background, and the second to the development of each subdiscipline that together comprise Chinese mathematics. The book is uniquely accessible, both as a topical reference work, and also as an overview that can be read and reread at many levels of sophistication by both sinologists and mathematicians alike.

Download or read book Meaning in Mathematics Education written by Jeremy Kilpatrick and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed—theoretical and practical—and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge. This book presents a wide variety of theoretical reflections and research results about meaning in mathematics and mathematics education based on long-term and collective reflection by the group of authors as a whole. It is the outcome of the work of the BACOMET (BAsic COmponents of Mathematics Education for Teachers) group who spent several years deliberating on this topic. The ten chapters in this book, both separately and together, provide a substantial contribution to clarifying the complex issue of meaning in mathematics education. This book is of interest to researchers in mathematics education, graduate students of mathematics education, under graduate students in mathematics, secondary mathematics teachers and primary teachers with an interest in mathematics.

Download or read book The Path to Post Galilean Epistemology written by Danilo Capecchi and published by Springer. This book was released on 2017-07-08 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book casts new light on the process that in the sixteenth and seventeenth centuries led to a profound transformation in the study of nature with the emergence of mechanistic philosophy, the new mixed mathematics, and the establishment of the experimental approach. It is argued that modern European science originated from Hellenistic mathematics not so much because of rediscovery of the latter but rather because its “applied” components, namely mechanics, optics, harmonics, and astronomy, and their methodologies continued to be transmitted throughout the Middle Ages without serious interruption. Furthermore, it is proposed that these “applied” components played a role in their entirety; thus, for example, “new” mechanics derived not only from “old” mechanics but also from harmonics, optics, and astronomy. Unlike other texts on the subject, the role of mathematicians is stressed over that of philosophers of nature and the focus is particularly on epistemological aspects. In exploring Galilean and post-Galilean epistemology, attention is paid to the contributions of Galileo’s disciples and also the impact of his enemies. The book will appeal to both historians of science and scientists.

Download or read book The Structures of Practical Knowledge written by Matteo Valleriani and published by Springer. This book was released on 2017-02-20 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Structures of Practical Knowledge investigates the nature of practical knowledge – why, how, when and by whom it is codified, and once codified, how this knowledge is structured. The inquiry unfolds in a series of fifteen case studies, which range in focus from early modern Italy to eighteenth century China. At the heart of each study is a shared definition of practical knowledge, that is, knowledge needed to obtain a certain outcome, whether that be an artistic or mechanical artifact, a healing practice, or a mathematical result. While the content of practical knowledge is widely variable, this study shows that all practical knowledge is formally equivalent in following a defined workflow, as reflected in a construction procedure, a recipe, or an algorithm. As explored in the volume’s fifteen contributions, there are three levels at which structures of practical knowledge may be understood and examined. At the most immediate level, there are the individual workflows that encompasses practical knowledge itself. Probing further, it is possible to examine the structure of practical knowledge as it is externalized and codified in texts, drawings, and artifacts such as models. Finally, practical knowledge is also related to social structures, which fundamentally determine its dissemination and evolution into new knowledge structures. The social structures of professionals and institutions represent the critical means by which practical knowledge takes form. These actors are the agents of codification, and by means of selection, appropriation, investment, and knowledge development, they determine the formation of new structures of practical knowledge. On a more abstract level, the creation of new knowledge structures is understood as constituting the basis for the further development of scientific knowledge. Rich in subject matter and incisive in the theory it lays out, this volume represents an important contribution to the history of science and epistemology. Individually, the fifteen case studies – encompassing the history of architecture, mining, brewing, glass production, printing, ballistics, mechanics, cartography, cosmology and astronomy – are replete with original research, and offer new insights into the history of science. Taken together, the contributions remodel historical epistemology as a whole, elucidating the underlining knowledge structures that transcend disciplinary boundaries, and that unite practitioners across time and space.

Download or read book Uses of Technology in Primary and Secondary Mathematics Education written by Lynda Ball and published by Springer. This book was released on 2018-05-14 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Mysticism and Logic written by Bertrand Russell and published by . This book was released on 1918 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Giordano Bruno and the Geometry of Language written by Arielle Saiber and published by Routledge. This book was released on 2005 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Giordano Bruno and the Geometry of Language brings to the fore a sixteenth-century philosopher's role in early modern Europe as a bridge between science and literature, or more specifically, between the spatial paradigm of geometry and that of language. Through analysis of Bruno's writings, Saiber exposes the verbal geometry of his language, and shows how his writing necessitates a crafting of space, and is, in essence, a lexicon of spatial concepts. This study constitutes an original contribution both to scholarship on Bruno and to the broader fields of early modern scientific and literary studies.

Download or read book Using Italian Vocabulary written by Marcel Danesi and published by Cambridge University Press. This book was released on 2003-08-07 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using Italian Vocabulary provides the student of Italian with an in-depth, structured approach to the learning of vocabulary. It can be used for intermediate and advanced undergraduate courses, or as a supplementary manual at all levels - including elementary level - to supplement the study of vocabulary. The book is made up of twenty units covering topics that range from clothing and jewellery, to politics and environmental issues, with each unit consisting of words and phrases that have been organized thematically and according to levels so as to facilitate their acquisition. The book will enable students to acquire a comprehensive control of both concrete and abstract vocabulary allowing them to carry out essential communicative and interactional tasks. • A practical topic-based textbook that can be inserted into all types of course syllabi • Provides exercises and activities for classroom and self-study • Answers are provided for a number of exercises

Download or read book Men of Mathematics written by E.T. Bell and published by Simon and Schuster. This book was released on 2014-03-31 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: From one of the greatest minds in contemporary mathematics, Professor E.T. Bell, comes a witty, accessible, and fascinating look at the beautiful craft and enthralling history of mathematics. Men of Mathematics provides a rich account of major mathematical milestones, from the geometry of the Greeks through Newton’s calculus, and on to the laws of probability, symbolic logic, and the fourth dimension. Bell breaks down this majestic history of ideas into a series of engrossing biographies of the great mathematicians who made progress possible—and who also led intriguing, complicated, and often surprisingly entertaining lives. Never pedantic or dense, Bell writes with clarity and simplicity to distill great mathematical concepts into their most understandable forms for the curious everyday reader. Anyone with an interest in math may learn from these rich lessons, an advanced degree or extensive research is never necessary.

Download or read book Mathematics Education as a Research Domain A Search for Identity written by Anna Sierpinska and published by Springer. This book was released on 2013-03-14 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concepts, producing new teaching materials, and designing teaching units based on 'mathematicians' common sense' (or on logic) have not resulted in a better understanding of mathematics by more students. The failure of such efforts has raised questions suggesting that what was missing at the outset of these proposals, designs, and productions was a more profound knowledge of the phenomena of learning and teaching mathematics in socially established and culturally, politically, and economically justified institutions - namely, schools. Such knowledge cannot be built by mere juxtaposition of theories in disci plines such as psychology, sociology, and mathematics. Psychological theories focus on the individual learner. Theories of sociology of education look at the general laws of curriculum development, the specifics of pedagogic discourse as opposed to scientific discourse in general, the different possible pedagogic rela tions between the teacher and the taught, and other general problems in the inter face between education and society. Mathematics, aside from its theoretical contents, can be looked at from historical and epistemological points of view, clarifying the genetic development of its concepts, methods, and theories. This view can shed some light on the meaning of mathematical concepts and on the difficulties students have in teaching approaches that disregard the genetic development of these concepts.

Download or read book Proceedings of the Fifth International Congress of Mathematicians written by Ernest William Hobson and published by . This book was released on 1913 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Revolutions of Wisdom written by G. E. R. Lloyd and published by Univ of California Press. This book was released on 1987 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: G.E.R. Lloyd's wide-ranging and historical study of the development of Greek science is a valuable contribution to current debates in the philosophy of language, on the analysis of scientific revolutions, and the rationality of science.

Download or read book The House of the Infinite written by and published by Masterpiece. This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spanish architect Alberto Campo Baeza has constructed a radical residential property positioned at the edge of the Atlantic Ocean. referencing the endless sea that stretches out in front of the dwelling, the project is called?house of the infinite?? a design comprised of a podium crowned with an upper horizontal plane. oriented to face the horizon, the home is envisioned as a jetty built from roman Travertine stone that elegantly complements the sandy beach. VT House, also known as "house of the infinite", was conceived by Campo Baeza first and foremost as a piece of landscape architecture, with its architectural elements sunken underneath.00"We have erected a house as if it were a jetty facing out to sea," said the architect. "On this resoundingly horizontal plane, bare and denuded, we face out to the distant horizon."

Download or read book Game Based Marketing written by Gabe Zichermann and published by John Wiley & Sons. This book was released on 2010-03-29 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harness the power of games to create extraordinary customer engagement with Game-Based Marketing. Gamification is revolutionizing the web and mobile apps. Innovative startups like Foursquare and Swoopo, growth companies like Gilt and Groupon and established brands like United Airlines and Nike all agree: the most powerful way to create and engage a vibrant community is with game mechanics. By leveraging points, levels, badges, challenges, rewards and leaderboards – these innovators are dramatically lowering their customer acquisition costs, increasing engagement and building sustainable, viral communities. Game-Based Marketing unlocks the design secrets of mega-successful games like Zynga’s Farmville, World of Warcraft, Bejeweled and Project Runway to give you the power to create winning game-like experiences on your site/apps. Avoid obvious pitfalls and learn from the masters with key insights, such as: Why good leaderboards shouldn’t feature the Top 10 players. Most games are played as an excuse to socialize, not to achieve. Status is worth 10x more than cash to most consumers. Badges are not enough: but they are important. You don’t need to offer real-world prizing to run a blockbuster sweepstakes. And learn even more: How to architect a point system that works Designing the funware loop: the basics of points, badges, levels, leaderboards and challenges Maximizing the value and impact of badges Future-proofing your design Challenging users without distraction Based on the groundbreaking work of game expert and successful entrepreneur Gabe Zichermann, Game-Based Marketing brings together the game mechanics expertise of a decade’s worth of research. Driven equally by big companies, startups, 40-year-old men and tween girls, the world is becoming increasingly more fun. Are you ready to play?

Download or read book Recursive Functions written by Rózsa Péter and published by . This book was released on 1967 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book International Handbook of Mathematics Education written by Alan J. Bishop and published by Springer Science & Business Media. This book was released on 1996 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook presents an overview and analysis of the international `state-of-the-field' of mathematics education at the end of the 20th century. The more than 150 authors, editors and chapter reviewers involved in its production come from a range of countries and cultures. They have created a book of 36 original chapters in four sections, surveying the variety of practices, and the range of disciplinary interconnections, which characterise the field today, and providing perspectives on the study of mathematics education for the 21st century. It is first and foremost a reference work, and will appeal to anyone seeking up-to-date knowledge about the main developments in mathematics education. These will include teachers, student teachers and student researchers starting out on a serious study of the subject, as well as experienced researchers, teacher educators, educational policy-makers and curriculum developers who need to be aware of the latest areas of knowledge development.