Author: J. E. Doran,F. R. Hodson
Publisher: Harvard University Press
View: 1603This 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.
Proceedings of the International Congress on Applied Systems Research and Cybernetics
Author: G.E. Lasker
View: 5164Applied 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.
Author: Chris Sangwin
Publisher: OUP Oxford
View: 3928Assessment 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.
A Plan for the 1990s
Author: National Research Council (U.S.). Committee on the Mathematical Sciences: Status and Future Directions
Publisher: National Academies
View: 2701As 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)
Author: Julie Coiro,Michele Knobel,Colin Lankshear,Donald J. Leu
View: 768Situated 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.
Author: Rosamund Sutherland,John Mason
Publisher: Springer Science & Business Media
View: 5479The advent of fast and sophisticated computer graphics has brought dynamic and interactive images under the control of professional mathematicians and mathematics teachers. This volume in the NATO Special Programme on Advanced Educational Technology takes a comprehensive and critical look at how the computer can support the use of visual images in mathematical problem solving. The contributions are written by researchers and teachers from a variety of disciplines including computer science, mathematics, mathematics education, psychology, and design. Some focus on the use of external visual images and others on the development of individual mental imagery. The book is the first collected volume in a research area that is developing rapidly, and the authors pose some challenging new questions.
proceedings of a conference sponsored by the National Science Foundation and conducted at the Science Teaching Center of the University of Maryland, College Park, Dec., 8-9, 1967
Author: National Science Foundation (U.S.),University of Maryland. Science Teaching Center
Author: B. J. Allen-Conn,Kim Rose
Publisher: Viewpoints Research Institute, Inc.
Category: Computer-assisted instruction
View: 9569Book contains 12 computer based projects children can create to help understand concepts in Math and Science. Also contains suggestions for off-computer activities to enhance computer projects.
What International Assessments Tell Us about Math Achievement
Author: Tom Loveless
Publisher: Brookings Institution Press
View: 4852Standards for education achievement are under scrutiny throughout the industrial world. In this technological age, student performance in mathematics is seen as being particularly important. For more than four decades, international assessments conducted by the International Association for Evaluation of Educational Achievement (IEA) have measured how well students are learning mathematics in different countries. The latest round of mathematics testing of the Trends in Mathematics and Science Study (TIMSS) takes place in 2007. Beyond the horse race—the rankings that compare nations—what have we learned from the wealth of data collected in these assessments? How do US math curriculums compare to those used overseas? Is the effect of technology in the classroom uniform across nations? How do popular math reforms fare abroad? Those are some of the critical issues tackled in this important book. The authors use the database to address several pressing questions about school policy and educational research. For example, Ina Mullis and Michael Martin review the major lessons learned over the history of TIMSS testing. William Schmidt and Richard T. Houang examine whether curricular breadth affects student achievement. Jeremy Kilpatrick, Vilma Mesa, and Finbarr Sloane evaluate American performance in algebra relative to other nations and pinpoint strengths and weaknesses in American students' learning of algebra.
Using the Last 200 Years of Mathematics History in the Classroom
Author: Amy Shell-Gellasch,Dick Jardine
Publisher: Cambridge University Press
View: 9722To 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.
Author: Betty A. Collis,Gerald A. Knezek,Kwok-Wing Lai,Keiko T. Miyashita,Willem J. Pelgrum
View: 4954This volume integrates research findings from three multinational studies conducted to examine the impact of children's use of computers in school. Conclusions are drawn from in-depth analyses of trends in more than 20 nations. Its seven authors from four nations were key researchers on these projects. Both a study and a product of the information age, this work is of prime importance to teachers, teacher educators, and school administrators. This work is unique in three important ways: * it presents data gathered in many regions of the world; * many of the authors are well-known and respected for their previous work in educational studies; and * the chapters are designed in such a way that the majority of the book is easily accessible to professionals such as classroom teachers who are interested primarily in findings, results, and outcomes rather than the methodology of the research.
Eight Learning Strategies that Promote Understanding
Author: Logan Fiorella,Richard E. Mayer
Publisher: Cambridge University Press
View: 7789During the past twenty-five years, researchers have made impressive advances in pinpointing effective learning strategies (namely, activities the learner engages in during learning that are intended to improve learning). In Learning as a Generative Activity: Eight Learning Strategies that Promote Understanding, Logan Fiorella and Richard E. Mayer share eight evidence-based learning strategies that promote understanding: summarizing, mapping, drawing, imagining, self-testing, self-explaining, teaching, and enacting. Each chapter describes and exemplifies a learning strategy, examines the underlying cognitive theory, evaluates strategy effectiveness by analyzing the latest research, pinpoints boundary conditions, and explores practical implications and future directions. Each learning strategy targets generative learning, in which learners actively make sense out of the material so they can apply their learning to new situations. This concise, accessible introduction to learning strategies will benefit students, researchers, and practitioners in educational psychology, as well as general readers interested in the important twenty-first-century skill of regulating one's own learning.
Author: V. Chudnovsky,Richard D. Jenks
Publisher: CRC Press
View: 9288Talks 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,
Author: David Ferguson
Publisher: Springer Science & Business Media
View: 5728This 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).