Computers in Science and Mathematics

Author: Robert Plotkin

Publisher: N.A

ISBN: 9780816077571

Category: Computers

Page: 168

View: 8480

Explores how computers have enhanced the study of science and mathematics by improving calculation speeds in such areas as simulation, weather, and cryptography.

Phase Change

The Computer Revolution in Science and Mathematics

Author: Douglas S. Robertson,Adjunct Professor in Department of Geological Sciences a Fellow of the Institute for Research in Environmental Sciences and a Member of the Colorado Center for Chaos and Complexity Douglas S Robertson

Publisher: Oxford University Press, USA

ISBN: 9780195157482

Category: Computers

Page: 190

View: 6094

Robertson's earlier work, The New Renaissance projected the likely future impact of computers in changing our culture. Phase Change builds on and deepens his assessment of the role of the computer as a tool driving profound change by examining the role of computers in changing the face of the sciences and mathematics. He shows that paradigm shifts in understanding in science have generally been triggered by the availability of new tools, allowing the investigator a new way of seeing into questions that had not earlier been amenable to scientific probing.

Computers in Mathematics

Author: V. Chudnovsky,Richard D. Jenks

Publisher: CRC Press

ISBN: 9780824783419

Category: Computers

Page: 432

View: 2532

Talks from the International Conference on Computers and Mathematics held July 29-Aug. 1, 1986, Stanford U. Some are focused on the past and future roles of computers as a research tool in such areas as number theory, analysis, special functions, combinatorics, algebraic geometry, topology, physics,

Systems Approaches in Computer Science and Mathematics

Proceedings of the International Congress on Applied Systems Research and Cybernetics

Author: G.E. Lasker

Publisher: Elsevier

ISBN: 1483149811

Category: Science

Page: 687

View: 2067

Applied Systems and Cybernetics, Volume V: Systems Approaches in Computer Science and Mathematics covers the proceedings of the International Congress on Applied Systems Research and Cybernetics. This book discusses trends and advances in the application of systems science and cybernetics to various fields. This volume reviews the systems approaches in computer science and mathematics and concentrates on several major areas of systems research in computer science and theoretical and applied mathematics. This book will be of great interest to computer scientists interested in the development of the theories and applications of computer science.

Advanced Educational Technologies for Mathematics and Science

Author: David Ferguson

Publisher: Springer Science & Business Media

ISBN: 9783540565314

Category: Education

Page: 756

View: 6650

This book is the outgrowth of a NATO Advanced Research Workshop, held in Milton Keynes (United Kingdom) in the summer of 1990. The workshop brought together about 30 world leaders in the use of advanced technologies in the teaching of mathematics and science. Many of these participants commented that the workshop was one of the more productive and exciting workshops that they had attended. It was not uncommon to see participants engaged in informal discussion far into the evenings and early mornings, long after formal sessions had ended. It is my hope that this book captures the substance and excitement of many of the ideas that were presented at the workshop. Indeed, the process by which this book has come about has given every opportunity for the best thinking to get reflected here. Participants wrote papers prior to the workshop. After the workshop, participants revised the papers at least once. In a few instances, three versions of papers were written. Some participants could not resist the urge to incorporate descriptions of some of the newer developments in their projects. The papers in this book demonstrate how technology is impacting our view of what should be taught, what can be taught, and how we should go about teaching in the various disciplines. As such, they offer great insight into the central issues of teaching and learning in a wide range of disciplines and across many grade levels (ranging from elementary school through undergraduate college education).

Mathematics and Computers in Archaeology

Author: J. E. Doran,F. R. Hodson

Publisher: Harvard University Press

ISBN: 9780674554559

Category: Science

Page: 381

View: 805

This book is for students and practitioners of archaeology. It offers an introductory survey of all the applications of mathematical and statistical techniques to their work. These applications are increasingly concerned with computerized data classification and quantification, and their effect is to reduce the level of uncertainty in the interpretation of the evidence that time and chance have left. Any archaeologist wanting to find out what these new methods have to offer has hitherto been forced to search for information in the specialist handbooks, conference proceedings, and review articles of his own, and very often of other, disciplines. This book brings the information conveniently together, so far as it pertains to archaeology, and permits an assessment of its relevance and quality. Those who have been daunted by the specialist knowledge apparently demanded will now be able to acquire a thorough grasp of principles and practices. Only an elementary knowledge of mathematics is presumed throughout. Part 1 provides a brief introduction to basic concepts in archaeology and mathematics. Part 2 relates the standard archaeological techniques and procedures to mathematics; it concentrates on numerical approaches best suited to archaeological practices. Part 3 examines various automatic seriation techniques and discusses further work that is coming to play an essential part in the development of archaeology.

Computer Aided Assessment of Mathematics

Author: Chris Sangwin

Publisher: OUP Oxford

ISBN: 0191635863

Category: Mathematics

Page: 200

View: 9820

Assessment is a key driver in mathematics education. This book examines computer aided assessment (CAA) of mathematics in which computer algebra systems (CAS) are used to establish the mathematical properties of expressions provided by students in response to questions. In order to automate such assessment, the relevant criteria must be encoded and, in articulating precisely the desired criteria, the teacher needs to think very carefully about the goals of the task. Hence CAA acts as a vehicle to examine assessment and mathematics education in detail and from a fresh perspective. One example is how it is natural for busy teachers to set only those questions that can be marked by hand in a straightforward way, even though the constraints of paper-based formats restrict what they do and why. There are other kinds of questions, such as those with non-unique correct answers, or where assessing the properties requires the marker themselves to undertake a significant computation. It is simply not sensible for a person to set these to large groups of students when marking by hand. However, such questions have their place and value in provoking thought and learning. This book, aimed at teachers in both schools and universities, explores how, in certain cases, different question types can be automatically assessed. Case studies of existing systems have been included to illustrate this in a concrete and practical way.

Mathematics and Computers in Contemporary Science

(icba '13), (mabe '13)

Author: WSEAS LLC Staff,WSEAS (Organization)

Publisher: N.A

ISBN: 9781618041524


Page: 129

View: 9603

7th WSEAS International Conference on Business Administration (ICBA '13) 10th WSEAS International Conference on Mathematical Biology and Ecology (MABE '13)

Mathematical Modelling and Computers in Endocrinology

Author: Rosalind McIntosh

Publisher: Springer Science & Business Media

ISBN: 3642814018

Category: Medical

Page: 340

View: 9360

The building of conceptual models is an inherent part of our interaction with the world, and the foundation of scientific investigation. Scientists often perform the processes of modelling subconsciously, unaware of the scope and significance of this activity, and the techniques available to assist in the description and testing of their ideas. Mathematics has three important contributions to make in biological modelling: (1) it provides unambiguous languages for expressing relationships at both qualitative and quantitative levels of observation; (2) it allows effective analysis and prediction of model behaviour, and can thereby organize experimental effort productively; (3) it offers rigorous methods of testing hypotheses by comparing models with experimental data; by providing a means of objectively excluding unsuitable concepts, the development of ideas is given a sound experimental basis. Many modern mathematical techniques can be exploited only with the aid of computers. These machines not only provide increased speed and accuracy in determining the consequences of model assumptions, but also greatly extend the range of problems which can be explored. The impact of computers in the biological sciences has been widespread and revolutionary, and will continue to be so.

From Calculus to Computers

Using the Last 200 Years of Mathematics History in the Classroom

Author: Amy Shell-Gellasch,Dick Jardine

Publisher: Cambridge University Press

ISBN: 9780883851784

Category: Mathematics

Page: 255

View: 3278

To date, much of the literature prepared on the topic of integrating mathematics history into undergraduate teaching contains, predominantly, ideas from the 18th century and earlier. This volume focuses on nineteenth- and twentieth-century mathematics, building on the earlier efforts but emphasizing recent history in the teaching of mathematics, computer science, and related disciplines. From Calculus to Computers is a resource for undergraduate teachers that provides ideas and materials for immediate adoption in the classroom and proven examples to motivate innovation by the reader. Contributions to this volume are from historians of mathematics and college mathematics instructors with years of experience and expertise in these subjects. Examples of topics covered are probability in undergraduate statistics courses, logic and programming for computer science, undergraduate geometry to include non-Euclidean geometries, numerical analysis, and abstract algebra.

Renewing U.S. Mathematics

A Plan for the 1990s

Author: National Research Council (U.S.). Committee on the Mathematical Sciences: Status and Future Directions

Publisher: National Academies


Category: Mathematics

Page: 133

View: 6746

As requested by the National Science Foundation (NSF) and the Interagency Committee for Extramural Mathematics Programs (ICEMAP), this report updates the 1984 Report known as the "David Report." Specifically, the charge directed the committee to (1) update that report, describing the infrastructure and support for U.S. mathematical sciences research; (2) assess trends and progress over the intervening five years against the recommendations of the 1984 Report; (3) briefly assess the field scientifically and identify significant opportunities for research, including cross-disciplinary collaboration; and (4) make appropriate recommendations designed to ensure that U.S. mathematical sciences research will meet national needs in coming years. Of the several components of the mathematical sciences community requiring action, its wellspring--university research departments--is the primary focus of this report. The progress and promise of research--described in the 1984 Report relative to theoretical development, new applications, and the refining and deepening of old applications--have if anything increased since 1984, making mathematics research ever more valuable to other sciences and technology. Although some progress has been made since 1984 in the support for mathematical sciences research, the goals set in the 1984 Report have not been achieved. Practically all of the increase in funding has gone into building the infractructure, which had deteriorated badly by 1984. While graduate and postdoctoral research, computer facilities, and new institutes have benefited from increased resources, some of these areas are still undersupported by the standards of other sciences. And in the area of research support for individual investigators, almost no progress has been made. A critical storage of qualified mathematical sciences researchers still looms, held at bay for the moment by a large influx of foreign researchers, an uncertain solution in the longer term. While government has responded substantially to the 1984 Report's recommendations, particularly in the support of infrastructure, the universities generally have not, so that the academic foundations of the mathematical sciences research enterprise are as shaky now as in 1984. The greatet progress has been made in the mathematics sciences community, whose members have shown a growing awareness of the problems confronting their discipline and increased interest in dealing with the problems, particularly in regard to communication with the public and government agencies and involvement in education. (AA)

Handbook of Research on New Literacies

Author: Julie Coiro,Michele Knobel,Colin Lankshear,Donald J. Leu

Publisher: Routledge

ISBN: 1136650857

Category: Education

Page: 1386

View: 5798

Situated at the intersection of two of the most important areas in educational research today — literacy and technology — this handbook draws on the potential of each while carving out important new territory. It provides leadership for this newly emerging field, directing scholars to the major issues, theoretical perspectives, and interdisciplinary research pertaining to new literacies. Reviews of research are organized into six sections: Methodologies Knowledge and Inquiry Communication Popular Culture, Community, and Citizenship: Everyday Literacies Instructional Practices and Assessment Multiple Perspectives on New Literacies Research FEATURES Brings together a diverse international team of editors and chapter authors Provides an extensive collection of research reviews in a critical area of educational research Makes visible the multiple perspectives and theoretical frames that currently drive work in new literacies Establishes important space for the emerging field of new literacies research Includes a unique Commentary section: The final section of the Handbook reprints five central research studies. Each is reviewed by two prominent researchers from their individual, and different, theoretical position. This provides the field with a sense of how diverse lenses can be brought to bear on research as well as the benefits that accrue from doing so. It also provides models of critical review for new scholars and demonstrates how one might bring multiple perspectives to the study of an area as complex as new literacies research. The Handbook of Research on New Literacies is intended for the literacy research community, broadly conceived, including scholars and students from the traditional reading and writing research communities in education and educational psychology as well as those from information science, cognitive science, psychology, sociolinguistics, computer mediated communication, and other related areas that find literacy to be an important area of investigation.

The Influence of Computers and Informatics on Mathematics and Its Teaching

Proceedings From a Symposium Held in Strasbourg, France in March 1985 and Sponsored by the International Commission on Mathematical Instruction

Author: R. F. Churchhouse

Publisher: CUP Archive

ISBN: 9780521311892

Category: Computers

Page: 155

View: 1897

First published in 1986, the first ICMI study is concerned with the influence of computers and computer science on mathematics and its teaching in the last years of school and at tertiary level. In particular, it explores the way the computer has influenced mathematics itself and the way in which mathematicians work, likely influences on the curriculum of high-school and undergraduate students, and the way in which the computer can be used to improve mathematics teaching and learning. The book comprises a report of the meeting held in Strasbourg in March 1985, plus several papers contributed to that meeting.

Computer Science with MATHEMATICA ®

Theory and Practice for Science, Mathematics, and Engineering

Author: Roman Maeder

Publisher: Cambridge University Press

ISBN: 9780521663953

Category: Computers

Page: 389

View: 6697

This introductory course shows scientists and engineers how Mathematica can be used to do scientific computations.