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Sample records for science history mathematics

  1. History of mathematics and history of science

    OpenAIRE

    Mann, Tony

    2011-01-01

    This essay argues that the diversity of the history of mathematics community in the United Kingdom has influenced the development of the subject and is a significant factor behind the different concerns often evident in work on the history of mathematics when compared with that of historians of science. The heterogeneous nature of the community, which includes many who are not specialist historians, and the limited opportunities for academic\\ud careers open to practitioners have had a profoun...

  2. History of mathematics and history of science.

    Science.gov (United States)

    Mann, Tony

    2011-09-01

    This essay argues that the diversity of the history of mathematics community in the United Kingdom has influenced the development of the subject and is a significant factor behind the different concerns often evident in work on the history of mathematics when compared with that of historians of science. The heterogeneous nature of the community, which includes many who are not specialist historians, and the limited opportunities for academic careers open to practitioners have had a profound effect on the discipline, leading to a focus on elite mathematics and great mathematicians. More recently, reflecting earlier developments in the history of science, an increased interest in the context and culture of the practice of mathematics has become evident.

  3. History of mathematics and history of science reunited?

    Science.gov (United States)

    Gray, Jeremy

    2011-09-01

    For some years now, the history of modern mathematics and the history of modern science have developed independently. A step toward a reunification that would benefit both disciplines could come about through a revived appreciation of mathematical practice. Detailed studies of what mathematicians actually do, whether local or broadly based, have often led in recent work to examinations of the social, cultural, and national contexts, and more can be done. Another recent approach toward a historical understanding of the abstractness of modern mathematics has been to see it as a species of modernism, and this thesis will be tested by the raft of works on the history of modern applied mathematics currently under way.

  4. Mathematical representations in science: a cognitive-historical case history.

    Science.gov (United States)

    Tweney, Ryan D

    2009-10-01

    The important role of mathematical representations in scientific thinking has received little attention from cognitive scientists. This study argues that neglect of this issue is unwarranted, given existing cognitive theories and laws, together with promising results from the cognitive historical analysis of several important scientists. In particular, while the mathematical wizardry of James Clerk Maxwell differed dramatically from the experimental approaches favored by Michael Faraday, Maxwell himself recognized Faraday as "in reality a mathematician of a very high order," and his own work as in some respects a re-representation of Faraday's field theory in analytic terms. The implications of the similarities and differences between the two figures open new perspectives on the cognitive role of mathematics as a learned mode of representation in science. Copyright © 2009 Cognitive Science Society, Inc.

  5. The skeleton in the closet: should historians of science care about the history of mathematics?

    Science.gov (United States)

    Alexander, Amir

    2011-09-01

    Up until the 1950s, the history of mathematics was an integral part of the history of science. To George Sarton and his contemporaries, mathematics was the rational skeleton that organized science and held it together, and its history was a fundamental component of the broader history of science. But when historians began focusing on the cultural roots of science rather than its rational structure, the study of mathematics was marginalized and ultimately excluded from the history of science. The alienation between the two fields is detrimental to both, and in recent years there has been a sustained effort to reestablish meaningful communication between the two. This time, however, mathematics is seen not as the static skeleton of science but, instead, as a dynamic and historically evolving field in its own right-just like science itself. The new approach allows for a culturally sensitive study of mathematics, as well as a new and fruitful relationship between the history of science and the history of mathematics. The essays in this Focus section offer a sampling of the new approaches, opening the way to a rapprochement between fields that have gone their separate ways but should by rights be closely interconnected.

  6. A Brief History of the Most Remarkable Numbers "e," "i" and "?" in Mathematical Sciences with Applications

    Science.gov (United States)

    Debnath, Lokenath

    2015-01-01

    This paper deals with a brief history of the most remarkable Euler numbers "e,"?"i"?and?"?" in mathematical sciences. Included are many properties of the constants "e,"?"i"?and?"?" and their applications in algebra, geometry, physics, chemistry, ecology, business and industry. Special…

  7. History of Mathematics

    DEFF Research Database (Denmark)

    Hansen, Vagn Lundsgaard; Gray, Jeremy

    Volume 1 in Theme on "History of Mathematics", in "Encyclopedia of Life Support Systems (EOLSS), developed under the auspices of the UNESCO.......Volume 1 in Theme on "History of Mathematics", in "Encyclopedia of Life Support Systems (EOLSS), developed under the auspices of the UNESCO....

  8. History, Philosophy and Sociology of Science in Science Education: Results from the Third International Mathematics and Science Study

    Science.gov (United States)

    Wang, Hsingchi A.; Sshmidt, William H.

    Throughout the history of enhancing the public scientific literacy, researchers have postulated that since every citizen is expected to have informal opinions on the relationships among government, education, and issues of scientific research and development, it is imperative that appreciation of the past complexities of science and society and the nature of scientific knowledge be a part of the education of both scientists and non-scientists. HPSS inclusion has been found to be an effective way to reach the goal of enhancing science literacy for all citizens. Although reports stated that HPSS inclusion is not a new educational practice in other part of the world, nevertheless, no large scale study has ever been attempted to report the HPSS educational conditions around the world. This study utilizes the rich data collected by TIMSS to unveil the current conditions of HPSS in the science education of about forty TIMSS countries. Based on the analysis results, recommendations to science educators of the world are provided.

  9. A history of mathematics

    CERN Document Server

    Boyer, Carl B

    1989-01-01

    "Boyer and Merzbach distill thousands of years of mathematics into this fascinating chronicle. From the Greeks to Godel, the mathematics is brilliant; the cast of characters is distinguished; the ebb and flow of ideas is everywhere evident. And, while tracing the development of European mathematics, the authors do not overlook the contributions of Chinese, Indian, and Arabic civilizations. Without doubt, this is--and will long remain--a classic one-volume history of mathematics and mathematicians who create it." --William Dunham Author, Journey Through Genius, The Great Theorems of Mathematics "When we read a book like A History of Mathematics, we get the picture of a mounting structure, ever taller and broader and more beautiful and magnificent--and with a foundation, moreover, that is as untainted and as functional now as it was when Thales worked out the first geometrical theorems nearly 26 centuries ago." --From the Foreword by Isaac Asimov "One of the most useful and comprehensive general introductions t...

  10. A Short History of the Science and Mathematics Education Centre at Curtin University

    Science.gov (United States)

    Treagust, David F.

    2011-01-01

    This article is presented in four parts. In the first part, I describe the foundation of the Science and Mathematics Education Centre (SMEC) at Curtin University. In the second part, I explain the development of SMEC's teaching and research capacity under its three directors. In the third section, I describe how federal government support of SMEC…

  11. And yet it is heard musical, multilingual and multicultural history of the mathematical sciences

    CERN Document Server

    Tonietti, Tito M

    2014-01-01

    We bring into full light some excerpts on musical subjects which were until now scattered throughout the most famous scientific texts. The main scientific and musical cultures outside of Europe are also taken into consideration. The first and most important property to underline in the scientific texts examined here is the language they are written in. This means that our multicultural history of the sciences necessarily also becomes a review of the various dominant languages used in the different historical contexts. In this volume, the history of the development of the sciences is told as it happened in real contexts, not in an alienated ideal world.

  12. A brief history of the most remarkable numbers e, i and γ in mathematical sciences with applications

    Science.gov (United States)

    Debnath, Lokenath

    2015-08-01

    This paper deals with a brief history of the most remarkable Euler numbers e, i and γ in mathematical sciences. Included are many properties of the constants e, i and γ and their applications in algebra, geometry, physics, chemistry, ecology, business and industry. Special attention is given to the growth and decay phenomena in many real-world problems including stability and instability of their solutions. Some specific and modern applications of logarithms, complex numbers and complex exponential functions to electrical circuits and mechanical systems are presented with examples. Included are the use of complex numbers and complex functions in the description and analysis of chaos and fractals with the aid of modern computer technology. In addition, the phasor method is described with examples of applications in engineering science. The major focus of this paper is to provide basic information through historical approach to mathematics teaching and learning of the fundamental knowledge and skills required for students and teachers at all levels so that they can understand the concepts of mathematics, and mathematics education in science and technology.

  13. Mathematics across cultures the history of non-Western mathematics

    CERN Document Server

    2000-01-01

    Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.

  14. The architecture of modern mathematics essays in history and philosophy

    CERN Document Server

    Ferreiros, J

    2006-01-01

    Aimed at both students and researchers in philosophy, mathematics and the history of science, this edited volume, authored by leading scholars, highlights foremost developments in both the philosophy and history of modern mathematics.

  15. The history of mathematics a brief course

    CERN Document Server

    Cooke, Roger

    2005-01-01

    This new edition brings the fascinating and intriguing history of mathematics to life. The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society. In the first edition, each chapter was devoted to a single cultu

  16. Mathematical Sciences in Australia

    Science.gov (United States)

    Thomas, Jan; Muchatuta, Michelle; Wood, Leigh

    2009-01-01

    This article investigates enrolment trends in mathematical sciences in Australian universities. Data has been difficult to extract and the coding for mathematical disciplines has made investigation challenging. We show that the number of mathematics major undergraduates in Australia is steadily declining though the number studying…

  17. Mathematics and art a cultural history

    CERN Document Server

    Gamwell, Lynn

    2016-01-01

    This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell’s comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians’ search for the foundations of their science, such as David Hilbert’s conception of mathematics as an arrangement of meaning-free signs, as well as artists’ search for the essence of their craft, such as Aleksandr Rodchenko’s monochrome paintings. She shows t...

  18. A history of Chinese mathematics

    CERN Document Server

    Martzloff, Jean-Claude

    1997-01-01

    For the English language edition, this completely unique book of J.C. Martzloff has been fully revised and updated. It includes many new recent insights and illustrations, a new appendix on Chinese primary sources and a guide to the to the bibliography. From the reviews: "This book ranks with the most erudite Asian publications, and is the most informative and most broadly informed on its topic in any language." N. Sivin, China Quarterly "... crammed with insights, cautionary tales and a great deal of information about current research ... will surely become a standard reference for students, teachers, and researchers alike", J. N. Crossley, Annals of Science "... a truly scholarly and balanced exposition ... a book that the reviewer believes belongs in the library of every university or college, as well as in that of every individual seriously interested in the history of Chinese mathematics", B. L. McAllister, ZBfM "Martzloff History demonstrates clearly that while the Chinese were adept in applying their m...

  19. A concise history of mathematics

    CERN Document Server

    Struik, Dirk J

    1987-01-01

    This compact, well-written history - first published in 1948, and now in its fourth revised edition - describes the main trends in the development of all fields of mathematics from the first available records to the middle of the 20th century. Students, researchers, historians, specialists - in short, everyone with an interest in mathematics - will find it engrossing and stimulating.Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of C

  20. History of Science

    Science.gov (United States)

    Oversby, John

    2010-01-01

    In this article, the author discusses why the history of science should be included in the science curriculum in schools. He also presents some opportunities that can come out of using historical contexts, and findings from a study assessing the place of history of science in readily available textbooks.

  1. Mathematics and Computer Science | Argonne National Laboratory

    Science.gov (United States)

    Extreme Computing Data-Intensive Science Applied Mathematics Science & Engineering Applications Software Extreme Computing Data-Intensive Science Applied Mathematics Science & Engineering Opportunities For Employees Staff Directory Argonne National Laboratory Mathematics and Computer Science Tools

  2. The History of Mathematics and Mathematical Education

    Science.gov (United States)

    Grattan-Guinness, I.

    1977-01-01

    Answers to questions which were asked after the author's various lectures in Australia are gathered here. Topics touched upon include "new" mathematics, unknown constants and free variables, propositional functions, linear algebra, arithmetic and geometry, and student assessment. (MN)

  3. Science A history

    CERN Document Server

    Gribbin, John

    2002-01-01

    From award-winning science writer John Gribbin, "Science: A History" is the enthralling story of the men and women who changed the way we see the world, and the turbulent times they lived in. From Galileo, tried by the Inquisition for his ideas, to Newton, who wrote his rivals out of the history books; from Marie Curie, forced to work apart from male students for fear she might excite them, to Louis Agassiz, who marched his colleagues up a mountain to prove that the ice ages had occurred. Filled with pioneers, visionaries, eccentrics and madmen, this is the history of science as it has never been told before.

  4. Global Journal of Mathematical Sciences

    African Journals Online (AJOL)

    Global Journal of Mathematical Sciences publishes research work in all areas of ... of new theories, techniques and application to science, industry and society. The journal aims to promote the exchange of information and ideas between all ...

  5. A hypothetical history of Old Babylonian mathematics

    DEFF Research Database (Denmark)

    Høyrup, Jens

    2012-01-01

    Most general standard histories of mathematics speak indiscriminately of “Babylonian” mathematics, presenting together the mathematics of the Old Babylonian and the Seleucid period (respectively 2000–1600 and 300–100 BCE) and neglecting the rest. Specialist literature has always known...

  6. A Mathematics and Science Trail

    Science.gov (United States)

    Smith, Kathy Horak; Fuentes, Sarah Quebec

    2012-01-01

    In an attempt to engage primary-school students in a hands-on, real-world problem-solving context, a large urban district, a mathematics and science institute housed in a college of education, and a corporate sponsor in the southwest United States, joined forces to create a mathematics and science trail for fourth- and fifth-grade students. A…

  7. Mathematical Sciences Institute Workshop

    CERN Document Server

    Scott, Philip

    1990-01-01

    A so-called "effective" algorithm may require arbitrarily large finite amounts of time and space resources, and hence may not be practical in the real world. A "feasible" algorithm is one which only requires a limited amount of space and/or time for execution; the general idea is that a feasible algorithm is one which may be practical on today's or at least tomorrow's computers. There is no definitive analogue of Church's thesis giving a mathematical definition of feasibility; however, the most widely studied mathematical model of feasible computability is polynomial-time computability. Feasible Mathematics includes both the study of feasible computation from a mathematical and logical point of view and the reworking of traditional mathematics from the point of view of feasible computation. The diversity of Feasible Mathematics is illustrated by the. contents of this volume which includes papers on weak fragments of arithmetic, on higher type functionals, on bounded linear logic, on sub recursive definitions ...

  8. Using Mathematics in Science: Working with Your Mathematics Department

    Science.gov (United States)

    Lyon, Steve

    2014-01-01

    Changes to the mathematics and science curriculums are designed to increase rigour in mathematics, and place greater emphasis on mathematical content in science subjects at key stages 3, 4 and 5 (ages 11-18). One way to meet the growing challenge of providing increased emphasis on mathematics in the science curriculum is greater collaboration…

  9. Cognitive science and mathematics education

    CERN Document Server

    Schoenfeld, Alan H

    1987-01-01

    This volume is a result of mathematicians, cognitive scientists, mathematics educators, and classroom teachers combining their efforts to help address issues of importance to classroom instruction in mathematics. In so doing, the contributors provide a general introduction to fundamental ideas in cognitive science, plus an overview of cognitive theory and its direct implications for mathematics education. A practical, no-nonsense attempt to bring recent research within reach for practicing teachers, this book also raises many issues for cognitive researchers to consider.

  10. Lectures in the history of mathematics

    CERN Document Server

    Bos, Henk J M

    1993-01-01

    "[These lectures] are about themes of the history of mathematics which, for various reasons, are dear to me. The early differential and integral calculus, the work of Christiaan Huygens, and the concept of construction in seventeenth- and eighteenth-century mathematics are the three themes around which much of my research has concentrated and which continue to fascinate me by the insights they offer in the development of that special human activity called mathematics." -from the Introduction This volume contains eleven lectures ranging over a variety of topics in the history of mathematics. The lectures, presented between 1970 and 1987, were delivered in a variety of venues and appeared only in less accessible publications. Those who teach mathematics, as well as mathematics historians, will appreciate this insightful, wide-ranging book.

  11. Handbook on the history of mathematics education

    CERN Document Server

    Schubring, Gert

    2014-01-01

    This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and varied history of mathematics education has remained inaccessible to the vast majority of scholars,  not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, however brief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the information they need about historical developments in mathematics education, not only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of the history of education in general, as well as specialists in cultural and even social history...

  12. Mathematical History: Activities, Puzzles, Stories, and Games.

    Science.gov (United States)

    Mitchell, Merle

    Based on the history of mathematics, these materials have been planned to enrich the teaching of mathematics in grades four, five, and six. Puzzles and games are based on stories about topics such as famous mathematicians, numerals of ancient peoples, and numerology. The sheets are arranged by grade level and are designed for easy duplication.…

  13. The history of mathematics a brief course

    CERN Document Server

    Cooke, Roger L

    2012-01-01

    Praise for the Second Edition ""An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource . . . essential."" -CHOICE This Third Edition of The History of Mathematics examines the elementary arithmetic, geometry, and algebra of numerous cultures, tracing their usage from Mesopotamia, Egypt, Greece, India, China, and Japan all the way to Europe during the Medieval and Renaissance periods where calculus was developed. Aimed primarily at undergraduate students studying the history of

  14. National Center for Mathematics and Science

    Science.gov (United States)

    NCISLA logo National Center for Improving Student Learning and Achievement in Mathematics and Wisconsin-Madison Powerful Practices in Mathematics & Sciences A multimedia product for educators . Scaling Up Innovative Practices in Mathematics and Science (Research Report). Thomas P. Carpenter, Maria

  15. Mathematical paradigms of climate science

    CERN Document Server

    Cannarsa, Piermarco; Jones, Christopher; Portaluri, Alessandro

    2016-01-01

    This book, featuring a truly interdisciplinary approach, provides an overview of cutting-edge mathematical theories and techniques that promise to play a central role in climate science. It brings together some of the most interesting overview lectures given by the invited speakers at an important workshop held in Rome in 2013 as a part of MPE2013 (“Mathematics of Planet Earth 2013”). The aim of the workshop was to foster the interaction between climate scientists and mathematicians active in various fields linked to climate sciences, such as dynamical systems, partial differential equations, control theory, stochastic systems, and numerical analysis. Mathematics and statistics already play a central role in this area. Likewise, computer science must have a say in the efforts to simulate the Earth’s environment on the unprecedented scale of petabytes. In the context of such complexity, new mathematical tools are needed to organize and simplify the approach. The growing importance of data assimilation te...

  16. A history of Japanese mathematics

    CERN Document Server

    Smith, David E

    2004-01-01

    One of the first books to show Westerners the nature of Japanese mathematics, this survey highlights the leading features in the development of the wasan, the Japanese system of mathematics. Topics include the use of the soroban, or abacus; the application of sangi, or counting rods, to algebra; the discoveries of the 17th-century sage Seki Kowa; the yenri, or circle principle; the work of 18th-century geometer Ajima Chokuyen; and Wada Nei's contributions to the understanding of hypotrochoids. Unabridged republication of the classic 1914 edition. 74 figures. Index.

  17. History, applications, and philosophy in mathematics education

    DEFF Research Database (Denmark)

    Jankvist, Uffe Thomas

    2013-01-01

    on the observation that a use of history, applications, and philosophy as a 'goal' is best realized through a modules approach, the article goes on to discuss how to actually design such teaching modules. It is argued that a use of primary original sources through a so-called guided reading along with a use......The article first investigates the basis for designing teaching activities dealing with aspects of history, applications, and philosophy of mathematics in unison by discussing and analyzing the different 'whys' and 'hows' of including these three dimensions in mathematics education. Based...... of student essay assignments, which are suitable for bringing out relevant meta-issues of mathematics, is a sensible way of realizing a design encompassing the three dimensions. Two concrete teaching modules on aspects of the history, applications, and philosophy of mathematics-HAPh-modules-are outlined...

  18. History of Science and History of Philologies.

    Science.gov (United States)

    Daston, Lorraine; Most, Glenn W

    2015-06-01

    While both the sciences and the humanities, as currently defined, may be too heterogeneous to be encompassed within a unified historical framework, there is good reason to believe that the history of science and the history of philologies both have much to gain by joining forces. This collaboration has already yielded striking results in the case of the history of science and humanist learning in early modern Europe. This essay argues that first, philology and at least some of the sciences (e.g., astronomy) remained intertwined in consequential ways well into the modern period in Western cultures; and second, widening the scope of inquiry to include other philological traditions in non-Western cultures offers rich possibilities for a comparative history of learned practices. The focus on practices is key; by shifting the emphasis from what is studied to how it is studied, deep commonalities emerge among disciplines--and intellectual traditions--now classified as disparate.

  19. The Language of Mathematics in Science

    Science.gov (United States)

    Boohan, Richard

    2016-01-01

    "The Language of Mathematics in Science" is an ASE/Nuffield project aimed at supporting teachers of 11-16 science in the use of mathematical ideas in the science curriculum. Two publications have been produced. This article focuses on the first of these, "The Language of Mathematics in Science: A Guide for Teachers of 11-16…

  20. A new direction in mathematics for materials science

    CERN Document Server

    Ikeda, Susumu

    2015-01-01

    This book is the first volume of the SpringerBriefs in the Mathematics of Materials and provides a comprehensive guide to the interaction of mathematics with materials science. The anterior part of the book describes a selected history of materials science as well as the interaction between mathematics and materials in history. The emergence of materials science was itself a result of an interdisciplinary movement in the 1950s and 1960s. Materials science was formed by the integration of metallurgy, polymer science, ceramics, solid state physics, and related disciplines. We believe that such historical background helps readers to understand the importance of interdisciplinary interaction such as mathematics–materials science collaboration. The middle part of the book describes mathematical ideas and methods that can be applied to materials problems and introduces some examples of specific studies—for example, computational homology applied to structural analysis of glassy materials, stochastic models for ...

  1. Crossroads in the History of Mathematics and Mathematics Education. The Montana Mathematics Enthusiast: Monograph Series in Mathematics Education

    Science.gov (United States)

    Sriraman, Bharath, Ed.

    2012-01-01

    The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at…

  2. Geometrical objects architecture and the mathematical sciences 1400-1800

    CERN Document Server

    2014-01-01

    This volume explores the mathematical character of architectural practice in diverse pre- and early modern contexts. It takes an explicitly interdisciplinary approach, which unites scholarship in early modern architecture with recent work in the history of science, in particular, on the role of practice in the scientific revolution. As a contribution to architectural history, the volume contextualizes design and construction in terms of contemporary mathematical knowledge, attendant forms of mathematical practice, and relevant social distinctions between the mathematical professions. As a contribution to the history of science, the volume presents a series of micro-historical studies that highlight issues of process, materiality, and knowledge production in specific, situated, practical contexts. Our approach sees the designer’s studio, the stone-yard, the drawing floor, and construction site not merely as places where the architectural object takes shape, but where mathematical knowledge itself is depl...

  3. Mathematics education a spectrum of work in mathematical sciences departments

    CERN Document Server

    Hsu, Pao-sheng; Pollatsek, Harriet

    2016-01-01

    Many in the mathematics community in the U.S. are involved in mathematics education in various capacities. This book highlights the breadth of the work in K-16 mathematics education done by members of US departments of mathematical sciences. It contains contributions by mathematicians and mathematics educators who do work in areas such as teacher education, quantitative literacy, informal education, writing and communication, social justice, outreach and mentoring, tactile learning, art and mathematics, ethnomathematics, scholarship of teaching and learning, and mathematics education research. Contributors describe their work, its impact, and how it is perceived and valued. In addition, there is a chapter, co-authored by two mathematicians who have become administrators, on the challenges of supporting, evaluating, and rewarding work in mathematics education in departments of mathematical sciences. This book is intended to inform the readership of the breadth of the work and to encourage discussion of its val...

  4. The Use of the History of Mathematics in the Teaching Pre-Service Mathematics Teachers

    Science.gov (United States)

    Galante, Dianna

    2014-01-01

    Many scholars have written about using the history of mathematics in the teaching of pre-service mathematics teachers. For this study, pre-service mathematics teachers developed an electronic journal of reflections based on presentations in the history of mathematics in a secondary mathematics education course. The main purpose of the…

  5. Turning points in the history of mathematics

    CERN Document Server

    Grant, Hardy

    2015-01-01

    This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and appreciation. Some of the turning points considered are the rise of the axiomatic method (most famously in Euclid), and the subsequent major changes in it (for example, by David Hilbert); the “wedding,” via analytic geometry, of algebra and geometry; the “taming” of the infinitely small and the infinitely large; the passages from algebra to algebras, from geometry to geometries, and from arithmetic to arithmetics; and the revolutions in the late nineteenth and early twentieth centuries that resulted from Georg Cantor’s creation of transfinite set theory. The origin of each turning point is discussed, along with...

  6. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Ali Reza Ashrafi1 Geetha Venkataraman1 2. Department of Mathematics, University of Kashan, Kashan, Iran; Department of Mathematics and Mathematical Sciences Foundation, St. Stephen's College, Delhi 110 007, India ...

  7. A brief history of mathematics in finance

    Directory of Open Access Journals (Sweden)

    Erdinç Akyıldırım

    2014-03-01

    Full Text Available In the list of possible scapegoats for the recent financial crises, mathematics, in particular mathematical finance has been ranked, without a doubt, as the first among many and quants, as mathematicians are known in the industry, have been blamed for developing and using esoteric models which are believed to have caused the deepening of the financial crisis. However, as Lo and Mueller (2010 state “Blaming quantitative models for the crisis seems particularly perverse, and akin to blaming arithmetic and the real number system for accounting fraud.” Throughout the history, mathematics and finance have always been in a close relationship. Starting from Babylonians, through Thales, and then Fibonacci, Pascal, Fermat, Bernoulli, Bachelier, Wiener, Kolmogorov, Ito, Markowitz, Black, Scholes, Merton and many others made huge contributions to the development of mathematics while trying to solve finance problems. In this paper, we present a brief historical perspective on how the development of finance theory has influenced and in turn been influenced by the development of mathematical finance theory.

  8. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. XIAOXIANG JIAO1 MINGYAN LI2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 101408, China; School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China ...

  9. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    , Sichuan 614202, China; School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, China; School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, ...

  10. The Role of History and Philosophy of in University Mathematics

    DEFF Research Database (Denmark)

    Kjeldsen, Tinne Hoff; Carter, Jessica M H Grund

    2014-01-01

    uses of history and the research direction in philosophy of mathematics denoted ‘Philosophy of Mathematical Practice’. We link history and philosophy of mathematical practices to recent ideas in mathematics education in order to identify different roles history and philosophy can play in the learning...... of mathematics at university level. We present, analyse and discuss different examples of inclusions of history and philosophy in university programmes in mathematics. These presentations are divided into courses in history and philosophy, respectively, since this is the main way they are organised...... at the universities. We shall see, however, that the history courses address philosophical questions and that the philosophy courses employ historical material. The chapter ends with comments on how mathematics educations at university level can benefit from history and philosophy of mathematics...

  11. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Search. Search. Proceedings – Mathematical Sciences. Title. Author. Keywords. Fulltext. Submit. Proceedings – Mathematical Sciences. Current Issue : Vol. 128, Issue 2. Current Issue Volume 128 | Issue 2. April 2018. Home · Volumes & Issues · Special Issues ...

  12. Mathematical Modeling in Combustion Science

    CERN Document Server

    Takeno, Tadao

    1988-01-01

    An important new area of current research in combustion science is reviewed in the contributions to this volume. The complicated phenomena of combustion, such as chemical reactions, heat and mass transfer, and gaseous flows, have so far been studied predominantly by experiment and by phenomenological approaches. But asymptotic analysis and other recent developments are rapidly changing this situation. The contributions in this volume are devoted to mathematical modeling in three areas: high Mach number combustion, complex chemistry and physics, and flame modeling in small scale turbulent flow combustion.

  13. New Avenues for History in Mathematics Education: Mathematical Competencies and Anchoring

    DEFF Research Database (Denmark)

    Jankvist, U. T.; Kjeldsen, T. H.

    2011-01-01

    . The first scenario occurs when history is used as a ‘tool’ for the learning and teaching of mathematics, the second when history of mathematics as a ‘goal’ is pursued as an integral part of mathematics education. We introduce a multiple-perspective approach to history, and suggest that research on history......The paper addresses the apparent lack of impact of ‘history in mathematics education’ in mathematics education research in general, and proposes new avenues for research. We identify two general scenarios of integrating history in mathematics education that each gives rise to different problems...... in mathematics education follows one of two different avenues in dealing with these scenarios. The first is to focus on students’ development of mathematical competencies when history is used a tool for the learning of curriculum-dictated mathematical in-issues. A framework for this is described. Secondly, when...

  14. Mathematics and Computer Science: The Interplay

    OpenAIRE

    Madhavan, Veni CE

    2005-01-01

    Mathematics has been an important intellectual preoccupation of man for a long time. Computer science as a formal discipline is about seven decades young. However, one thing in common between all users and producers of mathematical thought is the almost involuntary use of computing. In this article, we bring to fore the many close connections and parallels between the two sciences of mathematics and computing. We show that, unlike in the other branches of human inquiry where mathematics is me...

  15. History of information science

    OpenAIRE

    Buckland, MK; Liu, Z

    1998-01-01

    This informative volume concentrates on the following areas: Historiography of Information Science; Paul Otlet and His Successors; Techniques, Tools, and Systems; People and Organizations; Theoretical Topics; and Literature.

  16. Assessing mathematics within advanced school science qualifications

    OpenAIRE

    McAlinden, Mary; Noyes, Andrew

    2017-01-01

    Following sustained discussion regarding the relationship between advanced mathematics and science learning in England, the government has pursued a reform agenda in which mathematics is embedded in national, high stakes A-level science qualifications and their assessments for 18-year-olds. For example, A-level Chemistry must incorporate the assessment of relevant mathematics for at least 20% of the qualification. Other sciences have different mandated percentages. This embedding policy is ru...

  17. Science and mathematics teachers of the future

    DEFF Research Database (Denmark)

    Michelsen, Claus; Nielsen, Jan Alexis; Petersen, Morten Rask

    2008-01-01

    This paper presents the project Science and Mathematics Teachers of the Future. The aim of the project is to develop and implement a graduate level equivalent degree program in mathematics and science instruction for in-service teachers of lower secondary education. This aim is achieved...... in the programme through involving the teachers in design, implementation and evaluation of innovative instructional sequences, which deals with a wide range of aspects of mathematics and science, e.g. modern science and the importance of science in society. In the program contemporary science and mathematics...... education research serves as a basis for the design and development of warranted practices with which the teachers may experiment in their classroom. We will focus on the outcomes of offering a program which is intimately tied to (i) contemporary science and mathematics education research, (ii) modern...

  18. Elements of the history of mathematics

    CERN Document Server

    Bourbaki, Nicolas

    1994-01-01

    This work gathers together, without substantial modification, the major­ ity of the historical Notes which have appeared to date in my Elements de M atMmatique. Only the flow has been made independent of the Elements to which these Notes were attached; they are therefore, in principle, accessible to every reader who possesses a sound classical mathematical background, of undergraduate standard. Of course, the separate studies which make up this volume could not in any way pretend to sketch, even in a summary manner, a complete and con­ nected history of the development of Mathematics up to our day. Entire parts of classical mathematics such as differential Geometry, algebraic Geometry, the Calculus of variations, are only mentioned in passing; others, such as the theory of analytic functions, that of differential equations or partial differ­ ential equations, are hardly touched on; all the more do these gaps become more numerous and more important as the modern era is reached. It goes without saying that t...

  19. Studies in the history of Indian mathematics

    CERN Document Server

    2010-01-01

    This volume is the outcome of a seminar on the history of mathematics held at the Chennai Mathematical Institute during January-February 2008 and contains articles based on the talks of distinguished scholars both from the West and from India. The topics covered include: (1) geometry in the oulvasatras; (2) the origins of zero (which can be traced to ideas of lopa in Paoini's grammar); (3) combinatorial methods in Indian music (which were developed in the context of prosody and subsequently applied to the study of tonal and rhythmic patterns in music); (4) a cross-cultural view of the development of negative numbers (from Brahmagupta (c. 628 CE) to John Wallis (1685 CE); (5) Kunnaka, Bhavana and Cakravala (the techniques developed by Indian mathematicians for the solution of indeterminate equations); (6) the development of calculus in India (covering the millennium-long history of discoveries culminating in the work of the Kerala school giving a complete analysis of the basic calculus of polynomial and trigon...

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 123; Issue 2. Notes on Discrete Subgroups of Möbius Transformations ... Department of Applied Mathematics, Hunan University, Changsha 410082, People's Republic of China; School of Mathematics and Computational Science, Wuyi University, Jiangmen, ...

  1. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Department of Mathematics, Teachers College of Qingdao University, Qingdao 266071, People's Republic of China; School of Mathematical Sciences, Ocean University of China, Qingdao 266100, People's Republic of China; School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, People's ...

  2. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Yingqing Xiao1 Weiyuan Qiu2. College of Mathematics and Economics, Hunan University, Changsha 410082, China; School of Mathematical Sciences, Fudan University, Shanghai 200433, China ...

  3. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Dong Jun Jee1 Tuo Yeong Lee1 Nathaniel Zhi-Wei Leon1. Department of Mathematics, Statistics and Computing, NUS High School of Mathematics and Science, 20 Clementi Avenue 1, Singapore 129957, Republic of Singapore ...

  4. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Wenhua Gao1 Lin Tang2. School of Applied Mathematics, Beijing Normal University Zhuhai, Zhuhai 519085, People's Republic of China; LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China ...

  5. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 116; Issue 4 ... by application to a number of examples arising in physics and probability. ... Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF, ...

  6. Connecting Mathematics in Primary Science Inquiry Projects

    Science.gov (United States)

    So, Winnie Wing-mui

    2013-01-01

    Science as inquiry and mathematics as problem solving are conjoined fraternal twins attached by their similarities but with distinct differences. Inquiry and problem solving are promoted in contemporary science and mathematics education reforms as a critical attribute of the nature of disciplines, teaching methods, and learning outcomes involving…

  7. Applied Computational Mathematics in Social Sciences

    CERN Document Server

    Damaceanu, Romulus-Catalin

    2010-01-01

    Applied Computational Mathematics in Social Sciences adopts a modern scientific approach that combines knowledge from mathematical modeling with various aspects of social science. Special algorithms can be created to simulate an artificial society and a detailed analysis can subsequently be used to project social realities. This Ebook specifically deals with computations using the NetLogo platform, and is intended for researchers interested in advanced human geography and mathematical modeling studies.

  8. 5000 years of geometry mathematics in history and culture

    CERN Document Server

    Scriba, Christoph J

    2015-01-01

    The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science, and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultur...

  9. Reforming Science and Mathematics Education

    Science.gov (United States)

    Lagowski, J. J.

    1995-09-01

    Since 1991, the National Science Foundation has signed cooperative agreements with 26 states to undertake ambitious and comprehensive initiatives to reform science, mathematics, and technology education. Collectively, those agreements are known as the State Systemic Initiatives (SSI's). Two complimentary programs, The Urban and Rural Systemic Initiatives (USI's and RSI's), address similar reforms in the nation's largest cities and poorest rural areas. The SSI Program departs significantly from past NSF practice in several ways. The funding is for a longer term and is larger in amount, and the NSF is taking a more activist role, seeking to leverage state and private funds and promote the coordination of programs within states. The Initiatives also have a stronger policy orientation than previous NSF programs have had. The NSF strategy is a reflection of the growing and widely held view that meaningful reforms in schools are most likely to be achieved through state initiatives that set clear and ambitious learning goals and standards; align all of the available policy levers in support of reform; stimulate school-level initiatives; and mobilize human and financial resources to support these changes. Two premises underlie systemic reform: (1) all children can meet significantly higher standards if they are asked to do so and given adequate opportunities to master the content, and (2) state and local policy changes can create opportunities by giving schools strong and consistent signals about the changes in practice and performance that are expected. Because this is an enormous investment of Federal resources that is intended to bring about deep, systemic improvement in the nation's ability to teach science and mathematics effectively, the NSF has contracted with a consortium of independent evaluators to conduct a review of the program. The first of the SSI's were funded in 1991, sufficiently long ago to begin to formulate some initial impressions of their impact. Take

  10. Discrete thoughts essays on mathematics, science, and philosophy

    CERN Document Server

    Kac, Mark; Schwartz, Jacob T

    1992-01-01

    This is a volume of essays and reviews that delightfully explore mathematics in all its moods — from the light and the witty, and humorous to serious, rational, and cerebral. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and applications of mathematics broadly. You will also find history and philosophy covered, including discussion of the work of Ulam, Kant, Heidegger among others. "...these papers reflect on mathematics and its influence on human society. They can help the specialist to notice what is going on around him, and they may lead educated people from other domains to a better understanding of mathematics. Many of these papers can advise educators how to form a modern mathematics education, which develops approved ideas and institutions...I admire the stimulating perspectives of the authors."---American Mathematical Society "‘Mathematicians, like Proust and everyone else, are at their best when writing about their first love’ … They a...

  11. History of Mathematics in Korean Mathematics Textbooks: Implication for Using Ethnomathematics in Culturally Diverse School

    Science.gov (United States)

    Ju, Mi-Kyung; Moon, Jong-Eun; Song, Ryoon-Jin

    2016-01-01

    From a multicultural perspective, this research investigated to what extent Korean mathematics textbooks use history of mathematics. The results show even though educational use of history presented in Korean mathematics textbooks may provide a rich outlook, it does not encourage a fundamental change in the educational practice of school…

  12. History and science of knots

    CERN Document Server

    Turner, J C

    1996-01-01

    This book brings together twenty essays on diverse topics in the history and science of knots. It is divided into five parts, which deal respectively with knots in prehistory and antiquity, non-European traditions, working knots, the developing science of knots, and decorative and other aspects of knots.Its authors include archaeologists who write on knots found in digs of ancient sites (one describes the knots used by the recently discovered Ice Man); practical knotters who have studied the history and uses of knots at sea, for fishing and for various life support activities; a historian of l

  13. African Journal of Educational Studies in Mathematics and Sciences

    African Journals Online (AJOL)

    African Journal of Educational Studies in Mathematics and Sciences. ... Studies in Mathematics and Sciences (AJESMS) is an international publication that ... in the fields of mathematics education, science education and related disciplines.

  14. National Center for Mathematics and Science - teacher resources

    Science.gov (United States)

    Mathematics and Science (NCISLA) HOME | PROGRAM OVERVIEW | RESEARCH AND PROFESSIONAL DEVELOPMENT support and improve student understanding of mathematics and science. The instructional resources listed Resources (CD)Powerful Practices in Mathematics and Science A multimedia product for educators, professional

  15. Secondary School Mathematics Teachers' Knowledge Levels and Use of History of Mathematics

    Science.gov (United States)

    Bütüner, Suphi Önder

    2018-01-01

    This study describes secondary school mathematics teachers' use of history of mathematics in their classes and their knowledge levels in this field. The study population included a total of 58 secondary school mathematics teachers working at the secondary schools located in Yozgat city center, and the sample included 32 mathematics teachers from…

  16. Driven by History: Mathematics Education Reform

    Science.gov (United States)

    Permuth, Steve; Dalzell, Nicole

    2013-01-01

    The advancement of modern societies is fueled by mathematics, and mathematics education provides the foundation upon which future scientists and engineers will build. Society dictates how mathematics will be taught through the development and implementation of mathematics standards. When examining the progression of these standards, it is…

  17. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Ravi P Agarwal1 Jong Kyu Kim2 Donal O' Regan3. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901-6975, USA; Department of Mathematics, Kyungnam University, Masan, Kyungnam 631-701, Korea; Department of Mathematics, National University of Ireland, Galway, Ireland ...

  18. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Jizheng Huang1 Yu Liu2. College of Sciences, North China University of Technology, Beijing 100144, People's Republic of China; School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China ...

  19. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Chengyuan Qu1 Yang Cao2. School of Science, Dalian Nationalities University, Dalian 116600, China; School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China ...

  20. An Example of Using History of Mathematics in Classes

    Science.gov (United States)

    Goktepe, Sevda; Ozdemir, Ahmet Sukru

    2013-01-01

    In recent years, the topic of integrating history to mathematics lessons in teaching-learning processes has been frequently discussed among researchers. The main aim of this study is to present an example activity which enriched with history of mathematics and to take the views of students about teaching course in this way. In addition, to create…

  1. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. A R Aithal. Articles written in Proceedings – Mathematical Sciences. Volume 115 Issue 1 February 2005 pp 93-102. On Two Functionals Connected to the Laplacian in a Class of Doubly Connected Domains in Space-Forms · M H C Anisa A R Aithal · More Details ...

  2. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Editorial Board. Proceedings – Mathematical Sciences. Chief Editor. B V Rajarama Bhat, Indian Statistical Institute, Bengaluru (bhat@isibang.ac.in). Associate Editor. Parameswaran Sankaran, The Institute of Mathematical Sciences, Chennai (sankaran@imsc.res.in). Advisory Board. M S Raghunathan, Indian Institute of ...

  3. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 2 ... Quantum random walk; quantum Lévy process; discrete approximation. ... route de Gray, 25 030 Besançon cedex, France; Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan; Department of Mathematics, ...

  4. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Department of Mathematics, Faculty of Sciences of Ain Chock, University of Hassan II, Casablanca, Morocco; Department of Mathematics, Keio University at Fujisawa, 5322 Endo, Kanagawa 252-8520, Japan; School of Science and Technology, Kwansei Gakuin University, 2-1 Gakuen, Sanda-City 6691337, Japan ...

  5. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. José M Sigarreta. Articles written in Proceedings – Mathematical Sciences. Volume 120 Issue 5 November 2010 pp 593-609. Gromov Hyperbolicity in Cartesian Product Graphs · Junior Michel José M Rodríguez José M Sigarreta María Villeta · More Details Abstract ...

  6. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 127; Issue 1. Projections of Veronese surface and morphisms from projective plane to Grassmannian ... M2, Universite Lille 1, F-59655 Villeneuve d'Ascq Cedex, France; Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600 113, India ...

  7. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Basudeb Datta. Articles written in Proceedings – Mathematical Sciences. Volume 112 Issue 2 May 2002 pp 257-281. Two-Dimensional Weak Pseudomanifolds on Eight Vertices · Basudeb Datta Nandini Nilakantan · More Details Abstract Fulltext PDF. We explicitly ...

  8. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. MEGHA GOYAL. Articles written in Proceedings – Mathematical Sciences. Volume 128 Issue 1 March 2018 pp 2 Research Article. On 3-way combinatorial identities · A K AGARWAL MEGHA GOYAL · More Details Abstract Fulltext PDF. In this paper, we provide ...

  9. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. OLIVIA X M YAO. Articles written in Proceedings – Mathematical Sciences. Volume 127 Issue 3 June 2017 pp 393-410 Research Article. New modular relations involving cubes of the Göllnitz–Gordon functions · OLIVIA X M YAO · More Details Abstract Fulltext PDF.

  10. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. K R Parthasarathy. Articles written in Proceedings – Mathematical Sciences. Volume 113 Issue 1 February 2003 pp 3-13. A Remark on the Unitary Group of a Tensor Product of Finite-Dimensional Hilbert Spaces · K R Parthasarathy · More Details Abstract Fulltext ...

  11. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Arne Jensen1 2. Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan; Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, DK-9220 Aalborg Ø, Denmark ...

  12. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 112; Issue 2. Sums of Two Polynomials with Each having Real Zeros Symmetric with the Other. Seon-Hong Kim. Volume 112 Issue 2 ... Author Affiliations. Seon-Hong Kim1. School of Mathematical Sciences, Seoul National University, Seoul 151-742, Korea ...

  13. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. SENJO SHIMIZU. Articles written in Proceedings – Mathematical Sciences. Volume 127 Issue 5 November 2017 pp 815-831 Special Issue. Qualitative behaviour of incompressible two-phase flows with phase transitions: The isothermal case · JAN PRÜSS SENJO ...

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Proceedings – Mathematical Sciences. Volumes & Issues. Volume 128. Issue 1. Mar 2018; Issue 2. Apr 2018. Volume 127. Issue 1. Feb 2017; Issue 2. Apr 2017; Issue 3. Jun 2017; Issue 4. Sep 2017; Issue 5. Nov 2017. Volume 126. Issue 1. Feb 2016; Issue 2

  15. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Pravir Dutt. Articles written in Proceedings – Mathematical Sciences. Volume 112 Issue 4 November 2002 pp 601-639. Stability Estimates for ℎ- Spectral Element Methods for Elliptic Problems · Pravir Dutt Satyendra Tomar B V Rathish Kumar · More Details Abstract ...

  16. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Satyendra Tomar. Articles written in Proceedings – Mathematical Sciences. Volume 112 Issue 4 November 2002 pp 601-639. Stability Estimates for ℎ- Spectral Element Methods for Elliptic Problems · Pravir Dutt Satyendra Tomar B V Rathish Kumar · More Details ...

  17. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. A GHAFFARI. Articles written in Proceedings – Mathematical Sciences. Volume 127 Issue 4 September 2017 pp 689-705 Research Article. Involutions and trivolutions on second dual of algebras related to locally compact groups and topological semigroups.

  18. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. CHANCHAL KUMAR. Articles written in Proceedings – Mathematical Sciences. Volume 120 Issue 2 April 2010 pp 163-168. Deficiently Extremal Cohen-Macaulay Algebras · Chanchal Kumar Pavinder Singh · More Details Abstract Fulltext PDF. The aim of this paper is ...

  19. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. INDRANIL BISWAS. Articles written in Proceedings – Mathematical Sciences. Volume 111 Issue 3 August 2001 pp 263-269. Stability of Picard Bundle Over Moduli Space of Stable Vector Bundles of Rank Two Over a Curve · Indranil Biswas Tomás L Gómez.

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Q X Yang. Articles written in Proceedings – Mathematical Sciences. Volume 115 Issue 2 May 2005 pp 191-200. L p -Continuity for Calderón–Zygmund Operator · Q X Yang · More Details Abstract Fulltext PDF. Given a Calderón–Zygmund (- for short) operator , ...

  1. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 3. Time-Periodic Solution of a 2D ... Xiaopeng Zhao1 Changchun Liu2. School of Science, Jiangnan University, Wuxi 214122, People's Republic of China; Department of Mathematics, Jilin University, Changchun 130012, People's Republic of China ...

  2. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 127; Issue 3 ... TIFR Centre for Applicable Mathematics, P.O. Box 6503, Sharadanagar, GKVK Post, Bangalore 560 065, India; Indian Institute of Science Education and Research, C/o Sree Rama Engineering College (Transit Campus), Rami Reddy Nagar, ...

  3. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Shobha Madan. Articles written in Proceedings – Mathematical Sciences. Volume 113 Issue 2 May 2003 pp 171-178. Wavelet Subspaces Invariant Under Groups of Translation Operators · Biswaranjan Behera Shobha Madan · More Details Abstract Fulltext PDF.

  4. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Rémi Léandre. Articles written in Proceedings – Mathematical Sciences. Volume 116 Issue 4 November 2006 pp 507-518 Non-commutative Probability Theory. Malliavin Calculus of Bismut Type without Probability · Rémi Léandre · More Details Abstract Fulltext PDF.

  5. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Forthcoming articles. Forthcoming articles. Proceedings – Mathematical Sciences. PMSC-D-14-00136. Combinatorics of tenth order mock theta functions. J K SAREEN M RANA. Abstract. In this paper we are providing the combinatorial interpretations of two tenth ...

  6. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. B V Rao. Articles written in Proceedings – Mathematical Sciences. Volume 116 Issue 1 February 2006 pp 83-96. On Characterisation of Markov Processes Via Martingale Problems · Abhay G Bhatt Rajeeva L Karandikar B V Rao · More Details Abstract Fulltext PDF.

  7. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Hongliang Yao. Articles written in Proceedings – Mathematical Sciences. Volume 120 Issue 2 April 2010 pp 199-207. A T -Algebras and Extensions of A T -Algebras · Hongliang Yao · More Details Abstract Fulltext PDF. Lin and Su classified A T -algebras of real rank ...

  8. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Vijay Kodiyalam. Articles written in Proceedings – Mathematical Sciences. Volume 110 Issue 3 August 2000 pp 263-292. The Algebra of -relations · Vijay Kodiyalam R Srinivasan V S Sunder · More Details Abstract Fulltext PDF. In this paper, we study a tower { A n G ...

  9. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Antonio J Calderón Martín. Articles written in Proceedings – Mathematical Sciences. Volume 118 Issue 3 August 2008 pp 351-356. On Split Lie Algebras with Symmetric Root Systems · Antonio J Calderón Martín · More Details Abstract Fulltext PDF. We develop ...

  10. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. E M El-Kholy1 El-Said R Lashin2 Salama N Daoud2. Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt; Department of Mathematics, Faculty of Science, El-Minufiya University, Shebeen El-Kom, Egypt ...

  11. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. MIHAJA RAKOTOMALALA. Articles written in Proceedings – Mathematical Sciences. Volume 127 Issue 3 June 2017 pp 411-421 Research Article. On a problem of Pillai with Fibonacci numbers and powers of 2 · MAHADI DDAMULIRA FLORIAN LUCA MIHAJA ...

  12. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Bülent Nafi Örnek. Articles written in Proceedings – Mathematical Sciences. Volume 126 Issue 1 February 2016 pp 69-78. Sharpened forms of the generalized Schwarz inequality on the boundary · Tuğba Akyel Bülent Nafi Örnek · More Details Abstract Fulltext PDF.

  13. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. Suprio Bhar. Articles written in Proceedings – Mathematical Sciences. Volume 125 Issue 1 February 2015 pp 113-125. Differential operators on Hermite Sobolev spaces · Suprio Bhar B Rajeev · More Details Abstract Fulltext PDF. In this paper, we compute the Hilbert ...

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. MOHAMED KHALIL ZGHAL. Articles written in Proceedings – Mathematical Sciences. Volume 128 Issue 1 March 2018 pp 13 Research Article. Sharp Adams-type inequality invoking Hardy inequalities · MOHAMED KHALIL ZGHAL · More Details Abstract Fulltext PDF.

  15. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences. K B Sinha. Articles written in Proceedings – Mathematical Sciences. Volume 111 Issue 2 May 2001 pp 179-201. Spectra of Anderson Type Models with Decaying Randomness · M Krishna K B Sinha · More Details Abstract Fulltext PDF. In this paper we consider some ...

  16. Creators of mathematical and computational sciences

    CERN Document Server

    Agarwal, Ravi P

    2014-01-01

    The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life. … presents a picture of mathematics as a creation of the human imagination. … brings the history of mathematics to life by describing the contributions of the world’s greatest mathematicians. —Rex F. Gandy, Provost and Vice President for Academic Affairs, TAMUK   It starts with the explanation and history of numbers, arithmetic, ...

  17. University Science and Mathematics Education in Transition

    DEFF Research Database (Denmark)

    Skovsmose, Ole; Valero, Paola; Christensen, Ole Ravn

    configuration poses to scientific knowledge, to universities and especially to education in mathematics and science. Traditionally, educational studies in mathematics and science education have looked at change in education from within the scientific disciplines and in the closed context of the classroom....... Although educational change is ultimately implemented in everyday teaching and learning situations, other parallel dimensions influencing these situations cannot be forgotten. An understanding of the actual potentialities and limitations of educational transformations are highly dependent on the network...... of educational, cultural, administrative and ideological views and practices that permeate and constitute science and mathematics education in universities today. University Science and Mathematics Education in Transition contributes to an understanding of the multiple aspects and dimensions of the transition...

  18. Mathematical foundation of computer science

    CERN Document Server

    Singh, YN

    2005-01-01

    The interesting feature of this book is its organization and structure. That consists of systematizing of the definitions, methods, and results that something resembling a theory. Simplicity, clarity, and precision of mathematical language makes theoretical topics more appealing to the readers who are of mathematical or non-mathematical background. For quick references and immediate attentions¾concepts and definitions, methods and theorems, and key notes are presented through highlighted points from beginning to end. Whenever, necessary and probable a visual approach of presentation is used. The amalgamation of text and figures make mathematical rigors easier to understand. Each chapter begins with the detailed contents, which are discussed inside the chapter and conclude with a summary of the material covered in the chapter. Summary provides a brief overview of all the topics covered in the chapter. To demonstrate the principles better, the applicability of the concepts discussed in each topic are illustrat...

  19. The `M' in SMEC: a short history of the mathematics education presence

    Science.gov (United States)

    Malone, John A.

    2011-09-01

    In this paper I examine the history of the integration of mathematics education into the Science Education Centre, which had been established by physicist, John de Laeter, within the School of Science and Engineering at Curtin University in Perth, Australia. De Laeter's vision for science education was that teachers should have access to professional education that allowed them to extend their discipline and pedagogical knowledge using strategies that brought together theory and practice in ways that were meaningful for teachers. This model was expanded when mathematics education was also included, paving the way also for technology education. I present the history of this integration laying out the themes that are important for the continued educational effectiveness of the Science and Mathematics Education Centre (SMEC) and the role that mathematics education has played in this process. As the title suggests, this article focuses on the activities of the group of mathematics educators who have worked within the Science and Mathematics Education Centre of Curtin University since it was established 30 or so years ago and who have contributed to its reputation. The two streams operated then and now more-or-less independently in matters of student thesis topic choice but offered students opportunities for interaction that might not have been available if the "M" had not been incorporated into the Science Education Centre (SEC). This article's focus is on the mathematics educators who contributed to the Centre's success and reputation, highlighting the synergistic relationship between mathematics and science that helped to make SMEC a leading center for mathematics and science education.

  20. The history of science fiction

    CERN Document Server

    Roberts, Adam

    2016-01-01

    This book is the definitive critical history of science fiction. The 2006 first edition of this work traced the development of the genre from Ancient Greece and the European Reformation through to the end of the 20th century. This new 2nd edition has been revised thoroughly and very significantly expanded. An all-new final chapter discusses 21st-century science fiction, and there is new material in every chapter: a wealth of new readings and original research. The author’s groundbreaking thesis that science fiction is born out of the 17th-century Reformation is here bolstered with a wide range of new supporting material and many hundreds of 17th- and 18th-century science fiction texts, some of which have never been discussed before. The account of 19th-century science fiction has been expanded, and the various chapters tracing the twentieth-century bring in more writing by women, and science fiction in other media including cinema, TV, comics, fan-culture and other modes.

  1. The role of history in science.

    Science.gov (United States)

    Creath, Richard

    2010-01-01

    The case often made by scientists (and philosophers) against history and the history of science in particular is clear. Insofar as a field of study is historical as opposed to law-based, it is trivial. Insofar as a field attends to the past of science as opposed to current scientific issues, its efforts are derivative and, by diverting attention from acquiring new knowledge, deplorable. This case would be devastating if true, but it has almost everything almost exactly wrong. The study of history and the study of laws are not mutually exclusive, but unavoidably linked. Neither can be pursued without the other. Much the same can be said of the history of science. The history of science is neither a distraction from "real" science nor even merely a help to science. Rather, the history of science is an essential part of each science. Seeing that this is so requires a broader understanding of both history and science.

  2. A study of the Teachers` Academy for Mathematics and Science

    Energy Technology Data Exchange (ETDEWEB)

    Brett, B.; Scheirer, M.A.; Raizen, S.

    1994-09-15

    The Teachers` Academy for Mathematics and Science in Chicago (TAMS) is a freestanding institution founded in 1989 by scientists and a variety of other stakeholders, to advance the systemic reform of mathematics and science education in Chicago`s public schools. It focuses on the ``re-tooling`` of its elementary level teachers. The TAMS program, which has been funded in part by the DOE, contributes to strategic goals two through five of the Office of University and Science Education (OUSE). This evaluation of TAMS by the National Center for Improving Science Education is primarily a qualitative study that summarizes the history and current status of the organization and its programs. Data was obtained through extensive interviews, observations, and document review, using a framework of templates to guide data collection and analyses. The findings are organized around a series of lessons learned from the first three years of TAMS and conclusions about its current status.

  3. Science and Mathematics in Astronomy

    Science.gov (United States)

    Woolack, Edward

    2009-01-01

    A brief historical introduction to the development of observational astronomy will be presented. The close historical relationship between the successful application of mathematical concepts and advances in astronomy will be presented. A variety of simple physical demonstrations, hands-on group activities, and puzzles will be used to understand how the properties of light can be used to understand the contents of our universe.

  4. History of Science and Science Museums

    Science.gov (United States)

    Faria, Cláudia; Guilherme, Elsa; Gaspar, Raquel; Boaventura, Diana

    2015-10-01

    The activities presented in this paper, which are addressed to elementary school, are focused on the pioneering work of the Portuguese King Carlos I in oceanography and involve the exploration of the exhibits belonging to two different science museums, the Aquarium Vasco da Gama and the Maritime Museum. Students were asked to study fish adaptations to deep sea, through the exploration of a fictional story, based on historical data and based on the work of the King that served as a guiding script for all the subsequent tasks. In both museums, students had access to: historical collections of organisms, oceanographic biological sampling instruments, fish gears and ships. They could also observe the characteristics and adaptations of diverse fish species characteristic of deep sea. The present study aimed to analyse the impact of these activities on students' scientific knowledge, on their understanding of the nature of science and on the development of transversal skills. All students considered the project very popular. The results obtained suggest that the activity promoted not only the understanding of scientific concepts, but also stimulated the development of knowledge about science itself and the construction of scientific knowledge, stressing the relevance of creating activities informed by the history of science. As a final remark we suggest that the partnership between elementary schools and museums should be seen as an educational project, in which the teacher has to assume a key mediating role between the school and the museums.

  5. A history of folding in mathematics mathematizing the margins

    CERN Document Server

    Friedman, Michael

    2018-01-01

    While it is well known that the Delian problems are impossible to solve with a straightedge and compass – for example, it is impossible to construct a segment whose length is ∛2 with these instruments – the Italian mathematician Margherita Beloch Piazzolla's discovery in 1934 that one can in fact construct a segment of length ∛2 with a single paper fold was completely ignored (till the end of the 1980s). This comes as no surprise, since with few exceptions paper folding was seldom considered as a mathematical practice, let alone as a mathematical procedure of inference or proof that could prompt novel mathematical discoveries. A few question immediately arise: Why did paper folding become a non-instrument? What caused the marginalisation of this technique? And how was the mathematical knowledge, which was nevertheless transmitted and prompted by paper folding, later treated and conceptualised? Aiming to answer these questions, this volume provides, for the first time, an extensive historical study...

  6. Mathematical statistics essays on history and methodology

    CERN Document Server

    Pfanzagl, Johann

    2017-01-01

    This book presents a detailed description of the development of statistical theory. In the mid twentieth century, the development of mathematical statistics underwent an enduring change, due to the advent of more refined mathematical tools. New concepts like sufficiency, superefficiency, adaptivity etc. motivated scholars to reflect upon the interpretation of mathematical concepts in terms of their real-world relevance. Questions concerning the optimality of estimators, for instance, had remained unanswered for decades, because a meaningful concept of optimality (based on the regularity of the estimators, the representation of their limit distribution and assertions about their concentration by means of Anderson’s Theorem) was not yet available. The rapidly developing asymptotic theory provided approximate answers to questions for which non-asymptotic theory had found no satisfying solutions. In four engaging essays, this book presents a detailed description of how the use of mathematical methods stimulated...

  7. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 115; Issue 3. Volume 115, Issue 3. August 2005, pages 241-369. pp 241-249. Some Properties of ... with some properties which are mathematically and statistically interesting. pp 251-257. Homeomorphisms and the Homology of Non-Orientable Surfaces.

  8. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ... Lecture Workshops · Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 111; Issue 3. On Totally Reducible Binary Forms: I ... Author Affiliations. C Hooley1. School of Mathematics, Cardiff University, Senghennydd Road, PO Box 926, Cardiff CF24 4YH, UK ...

  9. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 125; Issue 4. Yoneda algebras of almost Koszul algebras. Zheng Lijing. Volume 125 Issue 4 November 2015 ... Author Affiliations. Zheng Lijing1. School of Mathematics and Physics, University of South China, Hengyang, Hunan, People's Republic of China ...

  10. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 121; Issue 2. Principal Bundles whose Restrictions to a Curve are Isomorphic. Sudarshan ... Author Affiliations. Sudarshan Rajendra Gurjar1. School of Mathematics, Tata Institute of Fundamental Research, Dr Homi Bhabha Road, Mumbai 400 005, India ...

  11. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 120; Issue 3. The Atiyah Bundle and Connections on a Principal Bundle. Indranil Biswas. Volume 120 Issue 3 ... Author Affiliations. Indranil Biswas1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  12. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 115; Issue 4. Large Time Behaviour of Solutions of a System of Generalized Burgers Equation. K T Joseph ... Author Affiliations. K T Joseph1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  13. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 114; Issue 1. Representability of Hom Implies Flatness. Nitin Nitsure. Volume 114 Issue 1 February 2004 pp 7-14 .... Author Affiliations. Nitin Nitsure1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 1. A Note on Conjugacy Classes of Finite Groups. Hemant Kalra Deepak Gumber. Volume 124 ... Author Affiliations. Hemant Kalra1 Deepak Gumber1. School of Mathematics and Computer Applications, Thapar University, Patiala 147 004, India ...

  15. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 119; Issue 1. On some Frobenius Restriction Theorems for Semistable Sheaves. V B Mehta V Trivedi ... Author Affiliations. V B Mehta1 V Trivedi1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  16. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 119; Issue 2. Sign (di)Lemma for Dimension Shifting. Nitin Nitsure. Volume 119 Issue 2 April 2009 pp 179-186 ... Author Affiliations. Nitin Nitsure1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  17. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 123; Issue 1. One-Parameter Family of Solitons from Minimal Surfaces. Rukmini Dey Pradip Kumar. Volume 123 Issue 1 ... Author Affiliations. Rukmini Dey1 Pradip Kumar1. School of Mathematics, Harish Chandra Research Institute, Allahabad 211 019, India ...

  18. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 113; Issue 2. The Weierstrass–Enneper Representation using Hodographic Coordinates on a Minimal Surface. Rukmini Dey. Volume ... Author Affiliations. Rukmini Dey1. School of Mathematics, Harish-Chandra Research Institute, Allahabad 211 019, India ...

  19. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 2. Some Remarks on the Local Fundamental Group Scheme. V B Mehta S ... Author Affiliations. V B Mehta1 S Subramanian1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 111; Issue 1. Limits of Commutative Triangular Systems on Locally Compact Groups. Riddhi Shah. Volume 111 ... Author Affiliations. Riddhi Shah1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  1. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 122; Issue 2. On Cohomology Theory for Topological Groups. Arati S Khedekar C S Rajan ... Author Affiliations. Arati S Khedekar1 C S Rajan1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  2. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 115; Issue 4. On the Orders of Finite Semisimple Groups. Shripad M Garge. Volume 115 Issue 4 November 2005 pp 411- .... Author Affiliations. Shripad M Garge1. School of Mathematics, Tata Institute of Fundamental Research, Colaba, Mumbai 400 005, India ...

  3. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Jung Rye Lee1 Choonkil Park2 Dong Yun Shin3. Department of Mathematics, Daejin University, Kyeonggi 487-711, Korea; Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Korea; Department of Mathematics, University of Seoul, Seoul 130-743, Korea ...

  4. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Dumitru Popa1. Department of Mathematics, University of Constanta, Bd. Mamaia 124, 8700 Constanta, Romania. Dates. Manuscript received: 21 January 2008; Manuscript revised: 20 June 2008. Proceedings – Mathematical Sciences. Current Issue : Vol. 128, Issue 1 · Current Issue Volume 128 | Issue 1

  5. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Arne Jensen1 Gheorghe Nenciu2 3. Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, DK-9220 Aalborg Ø, Denmark; Department of Theoretical Physics, University of Bucharest, P. O. Box MG11, 76900 Bucharest, Romania; Institute of Mathematics “Simion Stoilow” of the Romanian Academy, ...

  6. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Radu Ioan Boţ1 Anca Dumitru2 Gert Wanka1. Faculty of Mathematics, Chemnitz University of Technology, D-09107 Chemnitz, Germany; Faculty of Mathematics and Computer Science, Babes¸-Bolyai University, Str. Kog˜alniceanu nr. 1, 400084 Cluj-Napoca, Romania ...

  7. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 127; Issue 2. Nonfiniteness of Hilbert–Kunz functions. V TRIVEDI. Research Article Volume 127 Issue 2 April 2017 ... Author Affiliations. V TRIVEDI1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  8. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 1. Boundedness of Composition of Operators Associated with Different Homogeneities on Weighted Besov and ... Author Affiliations. Xinfeng Wu1. Department of Mathematics, China University of Mining and Technology, Beijing 100083, China ...

  9. Student-Made Games to Learn the History of Mathematics

    Science.gov (United States)

    Huntley, Mary Ann; Flores, Alfinio

    2011-01-01

    In this article, the authors describe how prospective secondary mathematics teachers designed their own adaptations of popular board and computer games to learn the history of mathematics. They begin the article by describing some of the games students designed and used, and follow this with a discussion of factors for successful use of games in…

  10. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Jiangtao Shi1 Cui Zhang1 2. School of Mathematics and Information Science, Yantai University, Yantai 264005, China; University of Primorska, IAM, Muzejski trg 2, 6000 Koper, Slovenia ...

  11. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    dimensional stochastic Navier–Stokes equations in the presence of delays. The results extend some of the existing results. Author Affiliations. Huabin Chen1. Department of Mathematics, School of Science, Nanchang University, Nanchang 330031, ...

  12. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 126; Issue 3 ... method on BSDEs with non-uniformly Lipschitz coefficients and its applications ... School of Statistics, Qufu Normal University, Qufu, Shandong 273165, China ...

  13. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    2. Faculty of Mathematics and Computer Science, University of Bucharest, Bucharest, Academiei Str., 14, 010014, Romania; Technical University of Civil Engineering, Bucharest, Lacul Tei Blvd., 122-124, 020396, Romania ...

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    . Articles written in Proceedings – Mathematical Sciences. Volume 121 Issue 1 February 2011 pp 93-109. Analysis of a Malaria Model with Mosquito-Dependent Transmission Coefficient for Humans · G C Hazarika Anuradha Bhattacharjee.

  15. Mathematical logic foundations for information science

    CERN Document Server

    Li, Wei

    2014-01-01

    Mathematical logic is a branch of mathematics that takes axiom systems and mathematical proofs as its objects of study. This book shows how it can also provide a foundation for the development of information science and technology. The first five chapters systematically present the core topics of classical mathematical logic, including the syntax and models of first-order languages, formal inference systems, computability and representability, and Gödel’s theorems. The last five chapters present extensions and developments of classical mathematical logic, particularly the concepts of version sequences of formal theories and their limits, the system of revision calculus, proschemes (formal descriptions of proof methods and strategies) and their properties, and the theory of inductive inference. All of these themes contribute to a formal theory of axiomatization and its application to the process of developing information technology and scientific theories. The book also describes the paradigm of three kinds...

  16. Using History to Teach Mathematics: The Case of Logarithms

    Science.gov (United States)

    Panagiotou, Evangelos N.

    2011-01-01

    Many authors have discussed the question why we should use the history of mathematics to mathematics education. For example, Fauvel (For Learn Math, 11(2): 3-6, 1991) mentions at least fifteen arguments for applying the history of mathematics in teaching and learning mathematics. Knowing how to introduce history into mathematics lessons is a more difficult step. We found, however, that only a limited number of articles contain instructions on how to use the material, as opposed to numerous general articles suggesting the use of the history of mathematics as a didactical tool. The present article focuses on converting the history of logarithms into material appropriate for teaching students of 11th grade, without any knowledge of calculus. History uncovers that logarithms were invented prior of the exponential function and shows that the logarithms are not an arbitrary product, as is the case when we leap straight in the definition given in all modern textbooks, but they are a response to a problem. We describe step by step the historical evolution of the concept, in a way appropriate for use in class, until the definition of the logarithm as area under the hyperbola. Next, we present the formal development of the theory and define the exponential function. The teaching sequence has been successfully undertaken in two high school classrooms.

  17. Interactions Between Mathematics and Physics: The History of the Concept of Function—Teaching with and About Nature of Mathematics

    Science.gov (United States)

    Kjeldsen, Tinne Hoff; Lützen, Jesper

    2015-07-01

    In this paper, we discuss the history of the concept of function and emphasize in particular how problems in physics have led to essential changes in its definition and application in mathematical practices. Euler defined a function as an analytic expression, whereas Dirichlet defined it as a variable that depends in an arbitrary manner on another variable. The change was required when mathematicians discovered that analytic expressions were not sufficient to represent physical phenomena such as the vibration of a string (Euler) and heat conduction (Fourier and Dirichlet). The introduction of generalized functions or distributions is shown to stem partly from the development of new theories of physics such as electrical engineering and quantum mechanics that led to the use of improper functions such as the delta function that demanded a proper foundation. We argue that the development of student understanding of mathematics and its nature is enhanced by embedding mathematical concepts and theories, within an explicit-reflective framework, into a rich historical context emphasizing its interaction with other disciplines such as physics. Students recognize and become engaged with meta-discursive rules governing mathematics. Mathematics teachers can thereby teach inquiry in mathematics as it occurs in the sciences, as mathematical practice aimed at obtaining new mathematical knowledge. We illustrate such a historical teaching and learning of mathematics within an explicit and reflective framework by two examples of student-directed, problem-oriented project work following the Roskilde Model, in which the connection to physics is explicit and provides a learning space where the nature of mathematics and mathematical practices are linked to natural science.

  18. Applied Mathematics, Modelling and Computational Science

    CERN Document Server

    Kotsireas, Ilias; Makarov, Roman; Melnik, Roderick; Shodiev, Hasan

    2015-01-01

    The Applied Mathematics, Modelling, and Computational Science (AMMCS) conference aims to promote interdisciplinary research and collaboration. The contributions in this volume cover the latest research in mathematical and computational sciences, modeling, and simulation as well as their applications in natural and social sciences, engineering and technology, industry, and finance. The 2013 conference, the second in a series of AMMCS meetings, was held August 26–30 and organized in cooperation with AIMS and SIAM, with support from the Fields Institute in Toronto, and Wilfrid Laurier University. There were many young scientists at AMMCS-2013, both as presenters and as organizers. This proceedings contains refereed papers contributed by the participants of the AMMCS-2013 after the conference. This volume is suitable for researchers and graduate students, mathematicians and engineers, industrialists, and anyone who would like to delve into the interdisciplinary research of applied and computational mathematics ...

  19. Mathematics for engineering, technology and computing science

    CERN Document Server

    Martin, Hedley G

    1970-01-01

    Mathematics for Engineering, Technology and Computing Science is a text on mathematics for courses in engineering, technology, and computing science. It covers linear algebra, ordinary differential equations, and vector analysis, together with line and multiple integrals. This book consists of eight chapters and begins with a discussion on determinants and linear equations, with emphasis on how the value of a determinant is defined and how it may be obtained. Solution of linear equations and the dependence between linear equations are also considered. The next chapter introduces the reader to

  20. The Teachers Academy for Mathematics and Science

    Energy Technology Data Exchange (ETDEWEB)

    1992-01-01

    In his State of the Union address on January 31, 1990, President Bush set a goal for US students to be number one in the world in mathematics and science achievement by the year 2000. The Teachers Academy for Mathematics and Science in Chicago is an experiment of unprecedented boldness and scale that can provide a means to the President's goal, both for the Chicago area and as a national model. This document covers organization and governance, program activities, future training goals, and evaluation programs.

  1. Integrating Mathematics and Science: Ecology and Venn Diagrams

    Science.gov (United States)

    Leszczynski, Eliza; Munakata, Mika; Evans, Jessica M.; Pizzigoni, Francesca

    2014-01-01

    Efforts to integrate mathematics and science have been widely recognized by mathematics and science educators. However, successful integration of these two important school disciplines remains a challenge. In this article, a mathematics and science activity extends the use of Venn diagrams to a life science context and then circles back to a…

  2. Mathematical Sciences Research Institute Workshop

    CERN Document Server

    Mirror Symmetry I

    1998-01-01

    This volume is an updated edition of ""Essays on Mirror Manifolds"", the first book of papers published after the phenomenon of mirror symmetry was discovered. The two major groups who made the discovery reported their papers here. Greene, Plesser, and Candelas gave details on their findings; Witten gave his interpretation which was vital for future development. Vafa introduced the concept of quantum cohomology. Several mathematicians, including Katz, Morrison, Wilson, Roan, Tian, Hubsch, Yau, and Borcea discussed current knowledge about Calabi-Yau manifolds. Ferrara and his coauthors addressed special geometry and $N=2$ supergravity. Rocek proposed possible mirrors for Calabi-Yau manifolds with torsion. This collection continues to be an important book on this spectacular achievement in algebraic geometry and mathematical physics.

  3. National Center for Mathematics and Science - publications

    Science.gov (United States)

    : Designing Statistics Instruction for Middle School Students Summer 2003: Algebraic Skills and Strategies for newsletter cover The National Center for Research in Mathematical Sciences Education (NCRMSE) (1987-1995 -Level Reform Fall 1993: Assessment Models Winter 1994: Reforming Geometry Spring 1994: Statistics and

  4. Sharpen Your Skills: Mathematics and Science Braille.

    Science.gov (United States)

    Eulert, Von E.; Cohn, Doris

    1984-01-01

    Three articles about mathematics and science braille are provided for braille transcribers and teachers of the visually handicapped. The first article discusses common problems such as setting braille writers incorrectly, duplicating transcribed materials unnecessarily, and incorrectly transcribing from typescript. The second article provides a…

  5. The European mathematical awakening a journey through the history of mathematics from 1000 to 1800

    CERN Document Server

    Swetz, Frank J

    2013-01-01

    A global survey of the history of mathematics, this collection of 32 articles traces the subject from AD 1000 to 1800. Newly corrected and updated essays introduce fascinating studies by Fibonacci, Descartes, Cardano, Galileo, Pascal, Newton, others.

  6. African Journal of Educational Studies in Mathematics and Sciences ...

    African Journals Online (AJOL)

    African Journal of Educational Studies in Mathematics and Sciences: Advanced Search. Journal Home > African Journal of Educational Studies in Mathematics and Sciences: Advanced Search. Log in or Register to get access to full text downloads.

  7. The Science of Sex Differences in Science and Mathematics

    Science.gov (United States)

    Halpern, Diane F.; Benbow, Camilla P.; Geary, David C.; Gur, Ruben C.; Hyde, Janet Shibley; Gernsbacher, Morton Ann

    2014-01-01

    Summary Amid ongoing public speculation about the reasons for sex differences in careers in science and mathematics, we present a consensus statement that is based on the best available scientific evidence. Sex differences in science and math achievement and ability are smaller for the mid-range of the abilities distribution than they are for those with the highest levels of achievement and ability. Males are more variable on most measures of quantitative and visuospatial ability, which necessarily results in more males at both high- and low-ability extremes; the reasons why males are often more variable remain elusive. Successful careers in math and science require many types of cognitive abilities. Females tend to excel in verbal abilities, with large differences between females and males found when assessments include writing samples. High-level achievement in science and math requires the ability to communicate effectively and comprehend abstract ideas, so the female advantage in writing should be helpful in all academic domains. Males outperform females on most measures of visuospatial abilities, which have been implicated as contributing to sex differences on standardized exams in mathematics and science. An evolutionary account of sex differences in mathematics and science supports the conclusion that, although sex differences in math and science performance have not directly evolved, they could be indirectly related to differences in interests and specific brain and cognitive systems. We review the brain basis for sex differences in science and mathematics, describe consistent effects, and identify numerous possible correlates. Experience alters brain structures and functioning, so causal statements about brain differences and success in math and science are circular. A wide range of sociocultural forces contribute to sex differences in mathematics and science achievement and ability—including the effects of family, neighborhood, peer, and school

  8. National Center for Mathematics and Science - links to related sites

    Science.gov (United States)

    Mathematics and Science (NCISLA) HOME | WHAT WE DO | K-12 EDUCATION RESEARCH | PUBLICATIONS | TEACHER Modeling Middle School Mathematics National Association of Biology Teachers National Association for Mathematics National Science Teachers Assocation Show-Me Center Summit on Science TERC - Weaving Gender Equity

  9. 1st Joint India-AMS Meeting in Mathematics : History of Indian Mathematics at the AMS-India Mathematics Conference

    CERN Document Server

    Sridharan, R; Srinivas, M

    2005-01-01

    This volume consists of a collection of articles based on lectures given by scholars from India, Europe and USA at the sessions on 'History of Indian Mathematics' at the AMS-India mathematics conference in Bangalore during December 2003. These articles cover a wide spectrum of themes in Indian mathematics. They begin with the mathematics of the ancient period dealing with Vedic Prosody and Buddhist Logic, move on to the work of Brahmagupta, of Bhaskara, and that of the mathematicians of the Kerala school of the classical and medieval period, and end with the work of Ramanaujan, and Indian contributions to Quantum Statistics during the modern era. The volume should be of value to those interested in the history of mathematics.

  10. Kaspar Schott's "encyclopedia of all mathematical sciences"

    Science.gov (United States)

    Knobloch, Eberhard

    2011-06-01

    In 1661, Kaspar Schott published his comprehensive textbook "Cursus mathematicus" in Würzburg for the first time, his "Encyclopedia of all mathematical sciences". It was so successful that it was published again in 1674 and 1677. In its 28 books, Schott gave an introduction for beginners in 22 mathematical disciplines by means of 533 figures and numerous tables. He wanted to avoid the shortness and the unintelligibility of his predecessors Alsted and Hérigone. He cited or recommended far more than hundred authors, among them Protestants like Michael Stifel and Johannes Kepler, but also Catholics like Nicolaus Copernicus. The paper gives a survey of this work and explains especially interesting aspects: The dedication to the German emperor Leopold I., Athanasius Kircher's letter of recommendation as well as Schott's classification of sciences, explanations regarding geometry, astronomy, and algebra.

  11. History of science and technology

    Energy Technology Data Exchange (ETDEWEB)

    Jang, Byeong Ju

    1986-04-15

    This book shows origin of technology and development of civilization, origin of science and dissemination of ironware, accumulation of science and technology in the Middle Age society, the era of the Renaissance and science, factory-made manual industry and mechanistic nature view, the era of scientific enlightenment, industrial revolution, science and technology of Korea, formation of modern science and technology, modern technology and approach to science and technology, science and technology in the twenty century such as biochemistry and physics, and cooperation of science and technology.

  12. History of science and technology

    International Nuclear Information System (INIS)

    Jang, Byeong Ju

    1986-04-01

    This book shows origin of technology and development of civilization, origin of science and dissemination of ironware, accumulation of science and technology in the Middle Age society, the era of the Renaissance and science, factory-made manual industry and mechanistic nature view, the era of scientific enlightenment, industrial revolution, science and technology of Korea, formation of modern science and technology, modern technology and approach to science and technology, science and technology in the twenty century such as biochemistry and physics, and cooperation of science and technology.

  13. The National Science Foundation and the History of Science

    Science.gov (United States)

    Rothenberg, Marc

    2014-01-01

    The National Science Foundation (NSF) is the major funder of the history of science in the United States. Between 1958 and 2010, the NSF program for the history of science has given 89 awards in the history of astronomy. This paper analyzes the award recipients and subject areas of the awards and notes significant shifts in the concentration of award recipients and the chronological focus of the research being funded.

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 120; Issue 1. Issue front cover thumbnail. Volume 120, Issue 1. February 2010, pages 1-130. pp 1-6. On the General Dedekind Sums and its Reciprocity Formula · Yuan Yi · More Details Abstract Fulltext PDF. In this paper, we prove an interesting reciprocity ...

  15. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Proceedings – Mathematical Sciences. Current Issue : Vol. 128, Issue 1. Current Issue Volume 128 | Issue 1. March 2018. Home · Volumes & Issues · Special Issues · Forthcoming Articles · Search · Editorial Board · Information for Authors · Subscription ...

  16. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. GUANGYUE HUANG1 2 BINGQING MA1 2. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, People's Republic of China; Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, Xinxiang 453007, People's Republic of China ...

  17. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 121; Issue 4. Issue front cover thumbnail .... On the Affine Isoperimetric Inequalities · Wuyang Yu Gangsong ... On the Existence of Hydrodynamic Instability in Single Diffusive Bottom Heavy Systems with Permeable Boundaries · A K Gupta R G Shandil.

  18. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 122; Issue 3. Issue front cover thumbnail. Volume 122, Issue 3. August 2012, pages 313-484. pp 313-317. On the Dimension of Chowla–Milnor Space · Tapas Chatterjee · More Details .... Isoperimetric Upper Bounds for the First Eigenvalue · G Santhanam.

  19. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 3. Issue front cover thumbnail. Volume 118, Issue 3. August 2008, pages 321-494. pp 321-350. Sharp Bounds on the Ranks of Negativity of Certain Sums · Torben Maack Bisgaard · More Details Abstract Fulltext PDF. If is a complex vector space ...

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 114; Issue 2. A Variational Proof for the Existence of a Conformal Metric with Preassigned Negative Gaussian Curvature for Compact Riemann Surfaces of Genus >1. Rukmini Dey. Erratum Volume 114 Issue 2 May 2004 pp 215-215 ...

  1. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 126; Issue 2. Volume 126, Issue 2. May 2016, pages 143-287. pp 143-151 Research Article. Existence of ..... pp 253-260 Research Article. Rigidity theorem forWillmore surfaces in a sphere · Hongwei Xu Dengyun Yang · More Details Abstract Fulltext PDF.

  2. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 122; Issue 1. Issue front cover thumbnail. Volume 122, Issue 1. February 2012, pages 1-152. pp 1-13. On a Paper of S S Pillai · M Ram Murty R Thangadurai · More Details Abstract Fulltext PDF. In 1935, Erdös proved that all natural numbers can be written as ...

  3. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 125; Issue 2. Issue front cover thumbnail. Volume 125, Issue 2. May 2015, pages 139-270. pp 139-147. On Erdős–Wood's conjecture · S Subburam R Thangadurai · More Details Abstract Fulltext PDF. In this article, we prove that infinite number of integers ...

  4. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 120; Issue 2. Issue front cover thumbnail. Volume 120, Issue 2. April 2010, pages 131-258. pp 131-137. Integral Inequalities for Self-Reciprocal Polynomials · Horst Alzer · More Details Abstract Fulltext PDF. Let n ≥ 1 be an integer and let P n be the class of ...

  5. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 117; Issue 2. Issue front cover thumbnail. Volume 117, Issue 2. May 2007, pages 147-285. pp 147-158. A Variant of Davenport's Constant · R Thangadurai · More Details Abstract Fulltext PDF. Let be a prime number. Let be a finite abelian -group of ...

  6. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ... Motreanu2 Nikolaos S Papageorgiou3. Institute of Computer Science, Jagiellonian University, ul. Nawojki 11, 30072 Cracow, Poland; Département de Mathematiques, Université de Perpignan, 66860 Perpignan, France; Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece ...

  7. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 2. Issue front cover thumbnail. Volume 118, Issue 2. May 2008, pages 159-320. pp 159-160. Note on Plagiarism · Gadadhar Misra N Mukunda · More Details Fulltext PDF. pp 161-182 Invited Article. Large Deviations: An Introduction to 2007 Abel ...

  8. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Dongmei Ren1 Yaming Lu2. School of Mathematics and Statistics, Southwest University, Chongqing 400715, People's Republic of China; Research Center for Basic Science, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, People's Republic of China ...

  9. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 121; Issue 1. Issue front cover thumbnail. Volume 121, Issue 1. February 2011, pages 1-109. pp 1-18. On Counting Twists of a Character Appearing in its Associated Weil Representation · K Vishnu Namboothiri · More Details Abstract Fulltext PDF. Consider an ...

  10. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    On some Vongruence with Application to Exponential Sums. Soon-Mo ... Moreover, we introduce an application of the above result to the study of an estimation of exponential sums. Author Affiliations. Soon-Mo Jung1. Mathematics Section, College of Science and Technology, Hong-Ik University, 339-701 Chochiwon, Korea ...

  11. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    In this paper, we study the matrix multiplication operators on Banach function spaces and discuss their applications in semigroups for solving the abstract Cauchy problem. Author Affiliations. H Hudzik1 Rajeev Kumar2 Romesh Kumar2. Faculty of Mathematics and Computer Science, Adam Mickiewicz University ...

  12. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ... Mid Year Meetings · Discussion Meetings · Public Lectures · Lecture Workshops · Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 122; Issue 1. The Cohomology of Orbit Spaces of Certain Free Circle Group Actions. Hemant Kumar Singh Tej Bahadur Singh.

  13. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Annual Meetings · Mid Year Meetings · Discussion Meetings · Public Lectures · Lecture Workshops · Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 112; Issue 3. Volume 112, Issue 3. August 2002, pages 367-475. pp 367-382. The Determinant Bundle on the ...

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 119; Issue 3. Issue front cover thumbnail. Volume 119, Issue 3. June 2009, pages 267-410. pp 267-274. A Finer Classification of the Unit Sum Number of the Ring of Integers of Quadratic Fields and Complex Cubic Fields · Nahid Ashrafi · More Details Abstract ...

  15. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Proceedings – Mathematical Sciences. Current Issue : Vol. 128, Issue 2. Current Issue Volume 128 | Issue 2. April 2018. Home · Volumes & Issues · Special Issues · Forthcoming Articles · Search · Editorial Board · Information for Authors · Subscription ...

  16. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    In the process, we prove an analogue of the well-known Fefferman–Stein's ... Department of Mathematics, Indian Institute of Science Education and ... Manuscript received: 27 October 2015; Manuscript revised: 12 September ... Early published: Unedited version published online: Final version published online: 23 July 2016 ...

  17. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ... Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 1. Vector-Valued almost Convergence and Classical Properties in Normed Spaces. A Aizpuru R Armario F J Garcia-Pacheco F J Perez-Fernandez. Volume 124 Issue 1 February 2014 pp 93-108 ...

  18. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 113; Issue 3. Volume 113, Issue 3. August 2003, pages 213-353. pp 213-221. Analogues of Euler and Poisson Summation Formulae · Vivek V Rane · More Details Abstract Fulltext PDF. Euler–Maclaurin and Poisson analogues of the summations ∑ a < n ≤ b ...

  19. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 1. Issue front cover thumbnail. Volume 124, Issue 1. February 2014, pages 1-126. pp 1-15. Alexander Duals of Multipermutohedron Ideals · Ajay Kumar Chanchal Kumar · More Details Abstract Fulltext PDF. An Alexander dual of a ...

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 116; Issue 1. Volume 116, Issue 1. February 2006, pages 1-119. pp 1-8 .... in probability but for which no r.c.l.l. solution exists. pp 97-119. Formulation of the Problem of Sonic Boom by a Maneuvering Aerofoil as a One-Parameter Family of Cauchy Problems.

  1. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 123; Issue 2. Issue front cover thumbnail. Volume 123, Issue 2. May 2013, pages 151-302. pp 151- ... Distribution of Residues and Primitive Roots ..... Series Solutions and a Perturbation Formula for the Extended Rayleigh Problem of Hydrodynamic Stability.

  2. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Proceedings – Mathematical Sciences. Current Issue : Vol. 128, Issue 1 · Current Issue Volume 128 | Issue 1. March 2018. Home · Volumes & Issues · Special Issues · Forthcoming Articles · Search · Editorial Board · Information for Authors · Subscription ...

  3. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 113; Issue 2. On the Local ... Let be a local field with finite residue class field k K . We first define (cf. Definition ..... We then discuss the application of Theorem 1.2 on a problem posed by Weil on the construction of a `natural' A G of over C (Problem 1.3).

  4. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 117; Issue 3. Issue front cover thumbnail. Volume 117, Issue 3. August 2007, pages 287-427. pp 287-292. On the Cohomology of Orbit Space of Free Z Z p -Actions on Lens Spaces · Hemant Kumar Singh Tej Bahadur Singh · More Details Abstract Fulltext PDF.

  5. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 119; Issue 1. Issue front cover thumbnail. Volume 119, Issue 1. February 2009, pages 1-135. pp 1-7. On an Extension of a Combinatorial Identity · M Rana A K Agarwal · More Details Abstract Fulltext PDF. Using Frobenius partitions we extend the main results ...

  6. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 128; Issue 1. Issue front cover thumbnail. Volume 128, Issue 1. March 2018. Article ID 1 Research Article. Editorial · More Details Abstract Fulltext PDF. Article ID 2 Research Article. On 3-way combinatorial identities · A K AGARWAL MEGHA GOYAL.

  7. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ... Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 127; Issue 3. On a problem of Pillai with Fibonacci numbers and powers of 2. MAHADI DDAMULIRA FLORIAN LUCA MIHAJA RAKOTOMALALA. Research Article Volume 127 Issue 3 June 2017 pp 411-421 ...

  8. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 124; Issue 2. Issue front cover thumbnail. Volume 124, Issue 2. May 2014, pages 127-279. pp 127-140. A Statistic on -Color Compositions and Related Sequences · Toufik Mansour Mark Shattuck · More Details Abstract Fulltext PDF. A composition of a ...

  9. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 122; Issue 2. Issue front cover thumbnail. Volume 122, Issue 2. May 2012, pages 153-311. pp 153-162. Farey Sequences and Resistor Networks · Sameen Ahmed Khan · More Details Abstract Fulltext PDF. In this article, we employ the Farey sequence and ...

  10. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 1. Issue front cover thumbnail. Volume 118, Issue 1. February 2008, pages 1-157. pp 1-11. On Automorphisms of some Finite -Groups · Manoj K Yadav · More Details Abstract Fulltext PDF. We give a sufficient condition on a finite -group of ...

  11. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Volume 123; Issue 1. Issue front cover thumbnail. Volume 123, Issue 1. February 2013, pages 1-150. pp 1-18. Divisibility of Class Numbers of Imaginary Quadratic Function Fields by a Fixed Odd Number · Pradipto Banerjee Srinivas Kotyada · More Details Abstract ...

  12. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ... Journals; Proceedings – Mathematical Sciences; Volume 118; Issue 4. An Optimal Version of an Inequality Involving the Third Symmetric Means. Wen Jiajin Yuan Jun Yuan Shufeng. Volume 118 Issue 4 November ... Keywords. Third symmetric mean of degree; optimal values; inequality; descending dimension method.

  13. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ... Lecture Workshops · Refresher Courses · Symposia · Live Streaming. Home; Journals; Proceedings – Mathematical Sciences; Volume 127; Issue 4. Contributions to a conjecture of Mueller and Schmidt on Thue inequalities. N SARADHA DIVYUM SHARMA. Research Article Volume 127 Issue 4 September 2017 pp 565- ...

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Fellowship · Fellows · Women Fellows · Deceased Fellows · Deceased women Fellows · Honorary Fellows · Deceased Honorary Fellows · Repository of Publications of Fellows · Oral History Archives · Associateship · Journals · Overview · Bulletin of Materials Science · DIALOGUE: Science, Scientists, and Society · Indian ...

  15. Hypothetical learning trajectory design on the history of Indonesian independence struggle in Mathematics logic instruction

    Directory of Open Access Journals (Sweden)

    Dra Nurjanah

    2017-12-01

    Full Text Available The research was aimed at developing learning resources for mathematics logic using the hypothetical learning trajectory designed through reflection on the history of Indonesian independence struggle. The study was carried out at the Department of Mathematics Education of the Faculty of Teacher Training and Educational Sciences Nusantara Islamic University (Uninus. The study used design research consisted of three stages: preparing the experiments, design the experiments, and retrospective analysis. Preparing the experiments stage has been completed and design the experiments stage is currently under preparation. The main activities accomplished in preparing the experiments stage consisted of: studies of Indonesian independence struggle, curriculum analysis, literature review, and early prototype design. Design the experiments phase has enabled the development of the research instruments. The learning trajectory which has been designed in the first stage involved: reflections on the history of Indonesian independence struggle; implication and bi-implication; implication, bi-implication and their truth in the context of the history of the Indonesian independence struggle; and implication, bi-implication and their truth in the context of mathematics. Based on the results of discussions with colleagues, the students’ ability in mathematical thinking can be developed by using the history of Indonesian independence struggle as the context of learning in a mathematics logics course.

  16. Focus: Global histories of science. Introduction.

    Science.gov (United States)

    Sivasundaram, Sujit

    2010-03-01

    An interest in global histories of science is not new. Yet the project envisioned by this Focus section is different from that pursued by natural historians and natural philosophers in the early modern age. Instead of tracing universal patterns, there is value in attending to the connections and disconnections of science on the global stage. Instead of assuming the precision of science's boundaries, historians might consider the categories of "science" and "indigenous knowledge" to have emerged from globalization. New global histories of science will be characterized by critical reflection on the limits of generalization, as well as a creative adoption of new sources, methods, and chronologies, in an attempt to decenter the European history of science. Such a project holds the promise of opening up new conversations between historians, anthropologists, philosophers, and sociologists of science. It is of critical importance if the discipline is not to fragment into regional and national subfields or become dominated by structural frameworks such as imperialism.

  17. Information for Authors | Proceedings – Mathematical Sciences ...

    Indian Academy of Sciences (India)

    Home; Journals; Proceedings – Mathematical Sciences; Information for Authors ... 4 to 6 November 2016 at Indian Institute of Science Education and Research, Bhopal. ... Focus Area Science Technology Summer Fellowship (FAST-SF).

  18. Who cares about the history of science?

    Science.gov (United States)

    Chang, Hasok

    2017-01-01

    The history of science has many functions. Historians should consider how their work contributes to various functions, going beyond a simple desire to understand the past correctly. There are both internal and external functions of the history of science in relation to science itself; I focus here on the internal, as they tend to be neglected these days. The internal functions can be divided into orthodox and complementary. The orthodox function is to assist with the understanding of the content and methods of science as it is now practised. The complementary function is to generate and improve scientific knowledge where current science itself fails to do so. Complementary functions of the history of science include the raising of critical awareness, and the recovery and extension of past scientific knowledge that has become forgotten or neglected. These complementary functions are illustrated with some concrete examples.

  19. Does science education need the history of science?

    Science.gov (United States)

    Gooday, Graeme; Lynch, John M; Wilson, Kenneth G; Barsky, Constance K

    2008-06-01

    This essay argues that science education can gain from close engagement with the history of science both in the training of prospective vocational scientists and in educating the broader public about the nature of science. First it shows how historicizing science in the classroom can improve the pedagogical experience of science students and might even help them turn into more effective professional practitioners of science. Then it examines how historians of science can support the scientific education of the general public at a time when debates over "intelligent design" are raising major questions over the kind of science that ought to be available to children in their school curricula. It concludes by considering further work that might be undertaken to show how history of science could be of more general educational interest and utility, well beyond the closed academic domains in which historians of science typically operate.

  20. African Journal of Educational Studies in Mathematics and Sciences ...

    African Journals Online (AJOL)

    African Journal of Educational Studies in Mathematics and Sciences. ... on senior high school students' proficiency in solving linear equation word problems ... from parents and teachers' influence on students' mathematics-related self-beliefs ...

  1. Science, Engineering, Mathematics and Aerospace Academy

    Science.gov (United States)

    1997-01-01

    This is an annual report on the Science, Engineering, Mathematics, and Aerospace Academy (SEMAA), which is run as a collaborative effort of NASA Lewis Research Center, and Cuyahgoga Community College. The purpose of SEMA is to increase the percentage of African Americans, and Hispanics in the fields of science and technology. The SEMAA program reaches from kindergarden, to grade 12, involving the family of under-served minorities in the education of the children. The year being reported (i.e., 1996-1997) saw considerable achievement. The program served over 1,939 students, and 120 parents were involved in various seminars. The report goes on to review the program and its implementation for each grade level. It also summarizes the participation, by gender and ethnicity.

  2. Science literacy and natural history museums

    Indian Academy of Sciences (India)

    2010-10-15

    Oct 15, 2010 ... Paradoxically, this is probably the period in the history of advanced countries in which increasing public and personal efforts have been directed toward the dissemination of scientific knowledge to increase public understanding of science. This article vindicates the role of natural history museums in ...

  3. History of Science and Science Museums

    Science.gov (United States)

    Faria, Cláudia; Guilherme, Elsa; Gaspar, Raquel; Boaventura, Diana

    2015-01-01

    The activities presented in this paper, which are addressed to elementary school, are focused on the pioneering work of the Portuguese King Carlos I in oceanography and involve the exploration of the exhibits belonging to two different science museums, the Aquarium Vasco da Gama and the Maritime Museum. Students were asked to study fish…

  4. History | About IASc | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    History. The Indian Academy of Sciences was founded and registered as a society in 1934 with the aim of promoting the progress and upholding the cause of science, in both pure and applied branches. It strives to meet its objectives through promotion of original research and dissemination of scientific knowledge to the ...

  5. A keyword history of Marketing Science

    NARCIS (Netherlands)

    C.F. Mela (Carl); J.M.T. Roos (Jason); Y. Deng (Yanhui)

    2013-01-01

    textabstractThis paper considers the history of keywords used in Marketing Science to develop insights on the evolution of marketing science. Several findings emerge. First, "pricing" and "game theory" are the most ubiquitous words. More generally, the three C's and four P's predominate, suggesting

  6. The history of the priority di∫pute between Newton and Leibniz mathematics in history and culture

    CERN Document Server

    Sonar, Thomas

    2018-01-01

    This book provides a thrilling history of the famous priority dispute between Gottfried Wilhelm Leibniz and Isaac Newton, presenting the episode for the first time in the context of cultural history. It introduces readers to the background of the dispute, details its escalation, and discusses the aftermath of the big divide, which extended well into recent times. One of the unique features of the book is that the mathematics behind the story is very intelligibly explained – an approach that offers general readers interested in the history of sciences and mathematics a window into the world of these two giants in their field. From the epilogue to the German edition by Eberhard Knobloch: Thomas Sonar has traced the emergence and the escalation of this conflict, which was heightened by Leibniz’s rejection of Newton’s gravitation theory, in a grandiose, excitingly written monograph. With absolute competence, he also explains the mathematical context so that non-mathematicians will also profit from the book....

  7. What do mathematics teachers and teacher trainees know about the history of mathematics?

    Science.gov (United States)

    Gazit, Avikam

    2013-06-01

    The aim of this study is to present the findings of a study that examined the knowledge of mathematics teachers and teacher trainees, in different tracks, about the concepts, topics and characters from the history of mathematics. The findings indicate a lack of knowledge concerning most of the topics examined. Only about 40% of the participants knew about the origin of our counting system and the only item that reached above 50% was the item relating to the man who edited the book which is the basis for the plane geometry - Euclid (about 83%). Another meaningful finding was that the group with the highest score was that of mathematics teacher trainees in the accelerated track - a unique training scheme for middle school teachers (65.7%). The group with the lowest score was that of the elementary school mathematics student teachers (19.3%). One obvious conclusion is that we need to strengthen the knowledge of the history of mathematics in teacher training and in-service teachers' advanced studies.

  8. Social Anthropology and Social Science History

    Science.gov (United States)

    2015-01-01

    In the 1970s, when the social science history movement emerged in the United States, leading to the founding of the Social Science History Association, a simultaneous movement arose in which historians looked to cultural anthropology for inspiration. Although both movements involved historians turning to social sciences for theory and method, they reflected very different views of the nature of the historical enterprise. Cultural anthropology, most notably as preached by Clifford Geertz, became a means by which historians could find a theoretical basis in the social sciences for rejecting a scientific paradigm. This article examines this development while also exploring the complex ways cultural anthropology has embraced—and shunned—history in recent years. PMID:26549914

  9. 78 FR 37590 - Advisory Committee for Mathematical and Physical Sciences #66; Notice of Meeting

    Science.gov (United States)

    2013-06-21

    ... Science Foundation and to provide advice and recommendations concerning research in mathematics and... NATIONAL SCIENCE FOUNDATION Advisory Committee for Mathematical and Physical Sciences 66; Notice... National Science Foundation announces the following meeting. Name: Advisory Committee for Mathematical and...

  10. Relocating the history of science essays in honor of Kostas Gavroglu

    CERN Document Server

    Renn, Jurgen; Simoes, Ana

    2015-01-01

    This volume is put together in honor of a distinguished historian of science, Kostas Gavroglu, whose work has won international acclaim, and has been pivotal in establishing the discipline of history of science in Greece, its consolidation in other countries of the European Periphery, and the constructive dialogue of these emerging communities with an extended community of international scholars. The papers in the volume reflect Gavroglu’s broad range of intellectual interests and touch upon significant themes in recent history and philosophy of science. They include topics in the history of modern physical sciences, science and technology in the European periphery, integrated history and philosophy of science, historiographical considerations, and intersections with the history of mathematics, technology and contemporary issues. They are authored by eminent scholars whose academic and personal trajectories crossed with Gavroglu’s. The book will interest historians and philosophers of science and techno...

  11. Mathematics education giving meaning to Social Science students

    DEFF Research Database (Denmark)

    Andersson, Annica; Valero, Paola

    Compulsory mathematics for social science students is problematic. We discuss the case of a group of students in Sweden who met a mathematics course inspired on the ideas of critical mathematics education and ethnomathematics. The evidence collected about students' experiences on this course...

  12. Research in Applied Mathematics, Fluid Mechanics and Computer Science

    Science.gov (United States)

    1999-01-01

    This report summarizes research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, fluid mechanics, and computer science during the period October 1, 1998 through March 31, 1999.

  13. [Research activities in applied mathematics, fluid mechanics, and computer science

    Science.gov (United States)

    1995-01-01

    This report summarizes research conducted at the Institute for Computer Applications in Science and Engineering in applied mathematics, fluid mechanics, and computer science during the period April 1, 1995 through September 30, 1995.

  14. Mathematics, Physics and Computer Sciences The computation of ...

    African Journals Online (AJOL)

    Mathematics, Physics and Computer Sciences The computation of system matrices for biquadraticsquare finite ... Global Journal of Pure and Applied Sciences ... The computation of system matrices for biquadraticsquare finite elements.

  15. A Mathematical Sciences Program at an Upper-Division Campus.

    Science.gov (United States)

    Swetz, Frank J.

    1978-01-01

    The conception, objectives, contents, and limitations of a degree program in the mathematical sciences at Pennsylvania State University, Capitol Campus, are discussed. Career goals that may be pursued include: managerial, science, education, actuarial, and computer. (MP)

  16. All about science philosophy, history, sociology & communication

    CERN Document Server

    Lam, Liu

    2014-01-01

    There is a lot of confusion and misconception concerning science. The nature and contents of science is an unsettled problem. For example, Thales of 2,600 years ago is recognized as the father of science but the word science was introduced only in the 14th century; the definition of science is often avoided in books about philosophy of science. This book aims to clear up all these confusions and present new developments in the philosophy, history, sociology and communication of science. It also aims to showcase the achievement of China's top scholars in these areas. The 18 chapters, divided into five parts, are written by prominent scholars including the Nobel laureate Robin Warren, sociologist Harry Collins, and physicist-turned-historian Dietrich Stauffer.

  17. Thirty years history of Daeduk Science Town

    International Nuclear Information System (INIS)

    2003-11-01

    This book records the history of Daeduk science town for 30 years, which includes plan of construction and selection of location like background of construction and general idea of construction, transition of basic plan to construct Daeduk science town such as change of promotion organization and plan, and establishment of construction general planning, building base for town like land, infrastructure, and measures to control speculative investment, construction and present situation of moving into the science town, management of Daeduk science town, public welfare for researchers, and fruit and image of the future of the town.

  18. Similarity and Equality in Greek Mathematics: Semiotics, History of Mathematics, and Mathematics Education

    Science.gov (United States)

    Fried, Michael N.

    2009-01-01

    The first goal of this article to show the profound difference between how equality and similarity are understood in Greek geometry and how they are presented in modern mathematics classes. It highlights that the formula "equal-and-similar" reflects the distinct character of "equal" and "similar" as signs in Greek…

  19. An Aristotelian realist philosophy of mathematics mathematics as the science of quantity and structure

    CERN Document Server

    Franklin, J

    2014-01-01

    Mathematics is as much a science of the real world as biology is. It is the science of the world's quantitative aspects (such as ratio) and structural or patterned aspects (such as symmetry). The book develops a complete philosophy of mathematics that contrasts with the usual Platonist and nominalist options.

  20. Regaining the Edge in Urban Education: Mathematics and Sciences.

    Science.gov (United States)

    Gallon, Dennis P., Ed.

    In order to remain competitive in the world economy, the United States must develop and improve mathematics and science education. Given that the future workforce in this country will be comprised largely of women and minorities, groups traditionally not entering mathematics and science careers, special recruitment and retention efforts must be…

  1. Encouraging Creativity in Mathematics and Science through Photography

    Science.gov (United States)

    Munakata, Mika; Vaidya, Ashwin

    2012-01-01

    Based on the results of a survey of the science and mathematics students at our university, we observed that students do not consider mathematics and science to be creative endeavors, though the traditional artistic disciplines rank high in this regard. To address this problem in perception, the authors used photography as a means to encourage…

  2. Teaching of Mathematics and Science in English: The Teachers' Voices

    Science.gov (United States)

    Yahaya, Mohamad Fadhili Bin; Noor, Mohd Asri Bin Mohd; Mokhtar, Ahmad Azman Bin; Rawian, Rafizah Binti Mohd; Othman, Mahmod Bin; Jusoff, Kamaruzaman

    2009-01-01

    The policy to change the medium of instruction in the teaching of Mathematics and Science from Bahasa Melayu (Malay Language) to English in 2003 is an important innovation affecting not only the students but also teachers of Mathematics and Science. However, how far the changes affect the teachers is the issue addressed in the paper. In fact the…

  3. The Influence of Reading Literacy on Mathematics and Science Achievement

    Science.gov (United States)

    Caponera, Elisa; Sestito, Paolo; Russo, Paolo M.

    2016-01-01

    The aim of this study was to evaluate the influence of students' reading literacy, measured by the PIRLS (Progress in International Reading Literacy Study) test, on their performance in the TIMSS (Trends in International Mathematics and Science Study) mathematics and science tests. The data on 4,125 Italian students from 199 schools were analyzed:…

  4. Victorian Certificate of Education: Mathematics, Science and Gender

    Science.gov (United States)

    Cox, Peter J.; Leder, Gilah C.; Forgasz, Helen J.

    2004-01-01

    Gender differences in participation and performance at "high stakes" examinations have received much public attention, which has often focused on mathematics and science subjects. This paper describes the innovative forms of assessment introduced into mathematics and science subjects within the Victorian Certificate of Education (VCE)…

  5. Galileo's Religion Versus the Church's Science? Rethinking the History of Science and Religion

    Science.gov (United States)

    Wilson, D. B.

    Galileo's conflict with the Catholic Church is well recognized as a key episode in the history of physics and in the history of science and religion. This paper applies a new, historiographical approach to that specific episode. It advocates eliminating the science and religion. The Church concluded that the plainest facts of human experience agreed perfectly with an omniscient God's revealed word to proclaim the earth at rest. Supported by the Bible, Galileo, God-like, linked the elegance of mathematics to truths about nature. The Church, in effect, resisted Galileo's claim to be able to think like God, instead listening to God himself - and paying close attention to what man himself observed. We can thus see that the phrase ``Galileo's religion versus the Church's science'' is as meaningful (or meaningless) as the usual designation ``Galileo's science versus the Church's religion.''

  6. Rockefeller and the internationalization of mathematics between the two world wars document and studies for the social history of mathematics in the 20th century

    CERN Document Server

    Siegmund-Schultze, Reinhard

    2001-01-01

    Philanthropies funded by the Rockefeller family have been prominent in the social history of the twentieth century for their involvement in medicine and applied science. This book provides the first detailed study of their relatively brief but nonetheless influential foray into the field of mathematics. The careers of a generation of pathbreakers in modern mathematics, such as S.Banach, B.L.van der Waerden and André Weil, were decisively affected by their becoming fellows of the Rockefeller-funded International Education Board in the 1920s. To help promote cooperation between physics and mathematics Rockefeller funds supported the erection of the new Mathematical Institute in Göttingen between 1926 and 1929, while the rise of probability and mathematical statistics owes much to the creation of the Institut Henri Poincaré in Paris by American philanthropy at about the same time. This account draws upon the documented evaluation processes behind these personal and institutional involvements of philanthropies...

  7. Basic mathematics for the biological and social sciences

    CERN Document Server

    Marriott, F H C

    2013-01-01

    Basic Mathematics for the Biological and Social Sciences deals with the applications of basic mathematics in the biological and social sciences. Mathematical concepts that are discussed in this book include graphical methods, differentiation, trigonometrical or circular functions, limits and convergence, integration, vectors, and differential equations. The exponential function and related functions are also considered. This monograph is comprised of 11 chapters and begins with an overview of basic algebra, followed by an introduction to infinitesimal calculus, scalar and vector quantities, co

  8. Science, Engineering, and Mathematics (SEM) at the Timbuktu Academy

    Science.gov (United States)

    2005-07-31

    Science (AAAS) and the first Standards of the National Council of Teachers o f Mathematics ( NCTM ) both appeared in 1989 . They were followed by Scope...National Council of Teachers of Mathematics ( NCTM , 1989, 1991 , and 1995), Science for All Americans (Project 2061) and the Benchmarks of the America n...Documents, Mail Stop SSOP, Washington, DC, 20402-9328 . National Council of Teachers of Mathematics ( NCTM ) . Curriculum and Evaluation Standard s for School

  9. Alchemy and the history of science. Introduction.

    Science.gov (United States)

    Moran, Bruce T

    2011-06-01

    Alchemy is part of the cultural experience of early modern Europe and yet has had to overcome problems of demarcation to be considered relevant to the history of science. This essay considers historiographical and methodological issues that have affected the gradual demarginalization of alchemy among attempts to explain, and find things out about, nature. As an area of historical study, alchemy relates to the history of science as part of an ensemble of practices that explored the natural world through natural philosophy and speculative traditions and by functioning as a nexus of social and intellectual life.

  10. History, philosophy and science teaching new perspectives

    CERN Document Server

    2018-01-01

    This anthology opens new perspectives in the domain of history, philosophy, and science teaching research. Its four sections are: first, science, culture and education; second, the teaching and learning of science; third, curriculum development and justification; and fourth, indoctrination. The first group of essays deal with the neglected topic of science education and the Enlightenment tradition. These essays show that many core commitments of modern science education have their roots in this tradition, and consequently all can benefit from a more informed awareness of its strengths and weaknesses. Other essays address research on leaning and teaching from the perspectives of social epistemology and educational psychology. Included here is the first ever English translation of Ernst Mach’s most influential 1890 paper on ‘The Psychological and Logical Moment in Natural Science Teaching’. This paper launched the influential Machian tradition in education. Other essays address concrete cases of the ...

  11. A keyword history of Marketing Science

    OpenAIRE

    Mela, Carl; Roos, Jason; Deng, Yanhui

    2013-01-01

    textabstractThis paper considers the history of keywords used in Marketing Science to develop insights on the evolution of marketing science. Several findings emerge. First, "pricing" and "game theory" are the most ubiquitous words. More generally, the three C's and four P's predominate, suggesting that keywords and common practical frameworks align. Various trends exist. Some words, like "pricing," remain popular over time. Others, like "game theory" and "hierarchical Bayes," have become mor...

  12. A Categorization Model for Educational Values of the History of Mathematics: An Empirical Study

    Science.gov (United States)

    Wang, Xiao-qin; Qi, Chun-yan; Wang, Ke

    2017-01-01

    There is not a clear consensus on the categorization framework of the educational values of the history of mathematics. By analyzing 20 Chinese teaching cases on integrating the history of mathematics into mathematics teaching based on the relevant literature, this study examined a new categorization framework of the educational values of the…

  13. A Content Analysis Study about the Usage of History of Mathematics in Textbooks in Turkey

    Science.gov (United States)

    Eren, Mehmet; Bulut, Mehmet; Bulut, Neslihan

    2015-01-01

    The present study aimed to investigate how history of mathematics was integrated to some mathematics textbooks in Turkey. On this account, four different textbooks with different grade levels were chosen. In total, 42 cases were detected and studied by three researchers. Results indicated that the usage of history of mathematics was materialized…

  14. Mathematical logic foundations for information science

    CERN Document Server

    Li, Wei

    2010-01-01

    This book presents the basic principles and formal calculus of mathematical logic. It covers core contents, extensions and developments of classical mathematical logic, and it offers formal proofs and concrete examples for all theoretical results.

  15. Atmospheric pollution: history, science, and regulation

    National Research Council Canada - National Science Library

    Jacobson, Mark Z

    2002-01-01

    ..., stratospheric ozone reduction, and global climate change - is provided. Each chapter discusses the history and science behind these problems, their consequences, and the effort made through government intervention and regulation to mitigate them. The book contains numerous student examples and problems, more than 200 color illustrations,...

  16. Rockets: An Educator's Guide with Activities in Science, Mathematics, and Technology.

    Science.gov (United States)

    National Aeronautics and Space Administration, Washington, DC.

    This educational guide discusses rockets and includes activities in science, mathematics, and technology. It begins with background information on the history of rocketry, scientific principles, and practical rocketry. The sections on scientific principles and practical rocketry focus on Sir Isaac Newton's Three Laws of Motion. These laws explain…

  17. Re-Examining Test Item Issues in the TIMSS Mathematics and Science Assessments

    Science.gov (United States)

    Wang, Jianjun

    2011-01-01

    As the largest international study ever taken in history, the Trend in Mathematics and Science Study (TIMSS) has been held as a benchmark to measure U.S. student performance in the global context. In-depth analyses of the TIMSS project are conducted in this study to examine key issues of the comparative investigation: (1) item flaws in mathematics…

  18. Focus: science, history, and modern India. Introduction.

    Science.gov (United States)

    Phalkey, Jahnavi

    2013-06-01

    Histories of science in India are revisitations of the colonial question. Science is ideology to be unraveled and exposed--as modernity and progress making or violence and oppression making--depending on where you stand on the interpretive spectrum. It has been seen as ideologically driven practice, as a mode of knowledge production whose history is inseparable from the social and political uses to which it is tethered. In the colonial as well as the postcolonial context, science and technology have been seen as the "ideology of empire," "tools of empire," "tentacles of progress," and "reasons of state." Yet science and technology are practices and bodies of knowledge that inhabitants of the subcontinent have engaged with enthusiasm, that they have used to invent themselves in their global, national, and individual lives. We know remarkably little about the histories of these complex engagements. A departure from current historiographical preoccupations is called for to map and explain the lives, institutions, practices, and stories of science on the subcontinent as they connect with, and where they break away from, the world at large.

  19. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Department of Applied Mathematics, Andhra University, Visakhapatnam 530 003, India; Department of Mathematics, Gayatri Vidya Parishad College of Engineering for Women, Madhurawada, Visakhapatnam 530 048, India; Department of Mathematics, Sri Prakash College of Engineering, Tuni 533 401, India ...

  20. Interest in mathematics and science among students having high mathematics aptitude

    Science.gov (United States)

    Ely, Jane Alice

    The study investigates why men and women differ in their interest in mathematics and science and in the pursuit of careers in mathematics and science. The most persistent gender differential in educational standard testing is the scores in mathematics achievement. The mean Scholastic Aptitude Test (Mathematics) scores for women are consistently below that of men by about 40 points. One result of this gender differential in mathematics is that few women entertain a career requiring a robust knowledge of higher mathematics (i.e. engineering, computing, or the physical sciences). A large body of literature has been written attempting to explain why this is happening. Biological, cultural, structural and psychological explanations have been suggested and empirically examined. Controlling for mathematical ability is one method of sorting out these explanations. Eliminating mathematical ability as a factor, this dissertation reports the results of a study of men and women college students who all had high mathematics ability. Thus, any differences we found among them would have to be a result of other variables. Using a Mathematics Placement Exam and the SAT-M, forty-two students (12 males and 30 females) with high scores in both were interviewed. Student were asked about their experiences in high school and college mathematics, their career choices, and their attitudes toward mathematics. The findings, that there were no gender differences in the course selection, attitudes towards mathematics, and career choice, differed from my initial expectations. This negative finding suggests that women with high ability in mathematics are just as likely as men to pursue interests in mathematics and related courses in college and in selecting careers.

  1. Physics and Mathematics as Interwoven Disciplines in Science Education

    Science.gov (United States)

    Galili, Igal

    2018-03-01

    The relationship between physics and mathematics is reviewed upgrading the common in physics classes' perspective of mathematics as a toolkit for physics. The nature of the physics-mathematics relationship is considered along a certain historical path. The triadic hierarchical structure of discipline-culture helps to identify different ways in which mathematics is used in physics and to appreciate its contribution, to recognize the difference between mathematics and physics as disciplines in approaches, values, methods, and forms. We mentioned certain forms of mathematical knowledge important for physics but often missing in school curricula. The geometrical mode of codification of mathematical knowledge is compared with the analytical one in context of teaching school physics and mathematics; their complementarity is exemplified. Teaching may adopt the examples facilitating the claims of the study to reach science literacy and meaningful learning.

  2. The reasonable effectiveness of mathematics in the natural sciences

    Science.gov (United States)

    Harvey, Alex

    2011-12-01

    Mathematics and its relation to the physical universe have been the topic of speculation since the days of Pythagoras. Several different views of the nature of mathematics have been considered: Realism—mathematics exists and is discovered; Logicism—all mathematics may be deduced through pure logic; Formalism—mathematics is just the manipulation of formulas and rules invented for the purpose; Intuitionism—mathematics comprises mental constructs governed by self evident rules. The debate among the several schools has major importance in understanding what Eugene Wigner called, The Unreasonable Effectiveness of Mathematics in the Natural Sciences. In return, this `Unreasonable Effectiveness' suggests a possible resolution of the debate in favor of Realism. The crucial element is the extraordinary predictive capacity of mathematical structures descriptive of physical theories.

  3. A Categorization Model for Educational Values of the History of Mathematics. An Empirical Study

    Science.gov (United States)

    Wang, Xiao-qin; Qi, Chun-yan; Wang, Ke

    2017-11-01

    There is not a clear consensus on the categorization framework of the educational values of the history of mathematics. By analyzing 20 Chinese teaching cases on integrating the history of mathematics into mathematics teaching based on the relevant literature, this study examined a new categorization framework of the educational values of the history of mathematics by combining the objectives of high school mathematics curriculum in China. This framework includes six dimensions: the harmony of knowledge, the beauty of ideas or methods, the pleasure of inquiries, the improvement of capabilities, the charm of cultures, and the availability of moral education. The results show that this framework better explained the all-educational values of the history of mathematics that all teaching cases showed. Therefore, the framework can guide teachers to better integrate the history of mathematics into teaching.

  4. Core Support of the Board on Mathematical Sciences

    Energy Technology Data Exchange (ETDEWEB)

    None

    1995-04-04

    This proposal summarizes activities conducted by the Board on Mathematical Sciences (BMS) during the period August 1, 1994 to July 31, 1995 and describes future plans of the Board for the period August 1, 1995 to July 31, 1998. We are requesting core support in the amount of $105,000 ($35,000 each year) from the Department of Energy for the additional three-year period. The BMS activities supported exclusively by core funding are the annual Department Chairs Colloquia, the National Science and Technology Symposia, specific reports, the initiation of all projects, continuous oversight of all activities, and partial core support of the Committee on Applied and Theoretical Statistics (CATS). Other activities of the Board include giving recommendations on research directions to federal agencies, and reports on education in the mathematical sciences, interaction of mathematical sciences with other areas, health of the mathematical sciences, and emerging research directions.

  5. Logic, mathematics, and computer science modern foundations with practical applications

    CERN Document Server

    Nievergelt, Yves

    2015-01-01

    This text for the first or second year undergraduate in mathematics, logic, computer science, or social sciences, introduces the reader to logic, proofs, sets, and number theory. It also serves as an excellent independent study reference and resource for instructors. Adapted from Foundations of Logic and Mathematics: Applications to Science and Cryptography © 2002 Birkhӓuser, this second edition provides a modern introduction to the foundations of logic, mathematics, and computers science, developing the theory that demonstrates construction of all mathematics and theoretical computer science from logic and set theory.  The focus is on foundations, with specific statements of all the associated axioms and rules of logic and set theory, and  provides complete details and derivations of formal proofs. Copious references to literature that document historical development is also provided. Answers are found to many questions that usually remain unanswered: Why is the truth table for logical implication so uni...

  6. Teaching Mathematical Modelling for Earth Sciences via Case Studies

    Science.gov (United States)

    Yang, Xin-She

    2010-05-01

    Mathematical modelling is becoming crucially important for earth sciences because the modelling of complex systems such as geological, geophysical and environmental processes requires mathematical analysis, numerical methods and computer programming. However, a substantial fraction of earth science undergraduates and graduates may not have sufficient skills in mathematical modelling, which is due to either limited mathematical training or lack of appropriate mathematical textbooks for self-study. In this paper, we described a detailed case-study-based approach for teaching mathematical modelling. We illustrate how essential mathematical skills can be developed for students with limited training in secondary mathematics so that they are confident in dealing with real-world mathematical modelling at university level. We have chosen various topics such as Airy isostasy, greenhouse effect, sedimentation and Stokes' flow,free-air and Bouguer gravity, Brownian motion, rain-drop dynamics, impact cratering, heat conduction and cooling of the lithosphere as case studies; and we use these step-by-step case studies to teach exponentials, logarithms, spherical geometry, basic calculus, complex numbers, Fourier transforms, ordinary differential equations, vectors and matrix algebra, partial differential equations, geostatistics and basic numeric methods. Implications for teaching university mathematics for earth scientists for tomorrow's classroom will also be discussed. Refereces 1) D. L. Turcotte and G. Schubert, Geodynamics, 2nd Edition, Cambridge University Press, (2002). 2) X. S. Yang, Introductory Mathematics for Earth Scientists, Dunedin Academic Press, (2009).

  7. Atmospheric pollution: history, science and regulation

    Energy Technology Data Exchange (ETDEWEB)

    Jacobson, M.Z. [Stanford University, Stanford, CA (USA). Dept. of Civil and Environmental Engineering

    2002-07-01

    The book provides an introduction to the history and science of major air pollution issues. It begins with an introduction to the history of discovery of chemicals in the atmosphere, and moves on to a discussion of the evolution of the earth's atmosphere. It then discusses five major atmospheric pollution topics: urban outdoor air pollution, indoor air pollution, acid deposition, stratospheric ozone depletion, and global climate change. The book contains numerous student examples and problems and over 200 color illustrations and photographs.

  8. Mathematics, Science and the Cambridge Tradition

    OpenAIRE

    Nuno Ornelas Martins

    2012-01-01

    Copyright © 2012 World Economics Association. In this paper the use of mathematics in economics will be discussed, by comparing two approaches to mathematics, a Cartesian approach, and a Newtonian approach. I will argue that while mainstream economics is underpinned by a Cartesian approach which led to a divorce between mathematics and reality, the contributions of key authors of the Cambridge tradition, like Marshall, Keynes and Sraffa, are characterised by a Newtonian approach to mathema...

  9. Science teachers and docents as mentors to science and mathematics undergraduates in formal and information settings. Final report

    Energy Technology Data Exchange (ETDEWEB)

    Koran, J.J. Jr. [Florida Museum of Natural History, Gainesville, FL (United States)

    1993-10-15

    Twenty-four undergraduate science and mathematics majors who were juniors and seniors in the colleges of Liberal Arts and Sciences and Engineering were recruited, and paid, to participate in an orientation seminar and act as teacher aides in regional schools and the Florida Museum of Natural History. Aides worked with teachers in the schools one semester and as docents in the natural history museum a second semester. Mentoring took place by the principal investigator and participating teachers and docents throughout the program. Success of the program was measured by a specially prepared attitude instrument which was administered to participants before the mentoring started and when it ended each semester. Written logs (field notes) were also prepared and submitted by participants at the end of each semester. Further, a tally was kept of the number of participants who decided to go into science or mathematics teaching as a result of the experience.

  10. Linking Teaching in Mathematics and the Subjects of Natural Science

    DEFF Research Database (Denmark)

    Michelsen, Claus

    2017-01-01

    teaching programs. This is partly due to the lack of a framework for integrating productive ideas across the disciplines. This paper focus on how to grasp the challenges of an interdisciplinary approach to teaching in mathematics and the subjects of natural science. Based on contemporary mathematics...... and science education we design a didactical framework for interdisciplinary teaching centered on modeling activities across mathematics and the disciplines of natural science. To exemplify the potential of the framework we present a case study of an intensive in-service teacher-training program...... for mathematics and biology teachers. The teachers were presented to the didactical framework and in pairs of two, one mathematics teacher and one biology teacher; they designed and implemented interdisciplinary mathematicsbiology teaching sequences. The teachers’ reports on their development and implementation...

  11. Qualitative mathematics for the social sciences mathematical models for research on cultural dynamics

    CERN Document Server

    Rudolph, Lee

    2012-01-01

    In this book Lee Rudolph brings together international contributors who combine psychological and mathematical perspectives to analyse how qualitative mathematics can be used to create models of social and psychological processes. Bridging the gap between the fields with an imaginative and stimulating collection of contributed chapters, the volume updates the current research on the subject, which until now has been rather limited, focussing largely on the use of statistics. Qualitative Mathematics for the Social Sciences contains a variety of useful illustrative figures, in

  12. Representation and productive ambiguity in mathematics and the sciences

    CERN Document Server

    Grosholz, Emily R

    2007-01-01

    Emily Grosholz offers an original investigation of demonstration in mathematics and science, examining how it works and why it is persuasive. Focusing on geometrical demonstration, she shows the roles that representation and ambiguity play in mathematical discovery. She presents a wide range of case studies in mechanics, topology, algebra, logic, and chemistry, from ancient Greece to the present day, but focusing particularly on the seventeenth and twentieth centuries. Anyone interested in how mathematics works will find this a stimulating read.

  13. Visual cultures in science and technology a comparative history

    CERN Document Server

    Hentschel, Klaus

    2014-01-01

    This book attempts a synthesis. It delves into the rich reservoir of case studies on visual representations in scientific and technological practice that have been accumulated over the past couple of decades by historians, sociologists, and philosophers of science. The main aim is thus located on the meta-level. It adopts an integrative view of recurrently noted general features of visual cultures in science and technology, something hitherto unachieved and believed by many to be a mission impossible. By systematic comparison of numerous case studies, the purview broadens away from myopic microanalysis in search of overriding patterns. The many different disciplines and research areas involved encompass mathematics, technology, natural history, medicine, the geosciences, astronomy, chemistry, and physics. The chosen examples span the period from the Renaissance to the late 20th century. Some pioneers of new visual cultures are portrayed, along with the modes of skill transfer and development. The broad range ...

  14. Mathematics and Computer Science: Exploring a Symbiotic Relationship

    Science.gov (United States)

    Bravaco, Ralph; Simonson, Shai

    2004-01-01

    This paper describes a "learning community" designed for sophomore computer science majors who are simultaneously studying discrete mathematics. The learning community consists of three courses: Discrete Mathematics, Data Structures and an Integrative Seminar/Lab. The seminar functions as a link that integrates the two disciplines. Participation…

  15. CDM: Teaching Discrete Mathematics to Computer Science Majors

    Science.gov (United States)

    Sutner, Klaus

    2005-01-01

    CDM, for computational discrete mathematics, is a course that attempts to teach a number of topics in discrete mathematics to computer science majors. The course abandons the classical definition-theorem-proof model, and instead relies heavily on computation as a source of motivation and also for experimentation and illustration. The emphasis on…

  16. The Preschool Rating Instrument for Science and Mathematics (PRISM)

    Science.gov (United States)

    Brenneman, Kimberly; Stevenson-Garcia, Judi; Jung, Kwanghee; Frede, Ellen

    2011-01-01

    Until recently, few valid and reliable assessments were available to measure young children's mathematics and science learning in a "comprehensive" way. Now, a number of mathematics assessments have been developed and subjected to testing (Klein, Starkey, & Wakeley, 2000; Ginsburg, 2008; Clements & Sarama, 2008), and progress has…

  17. Science Academies' Refresher Course in Mathematics

    Indian Academy of Sciences (India)

    IAS Admin

    2015-06-14

    Jun 14, 2015 ... A two-week Refresher Course in Mathematics will be organized during 1–14 June 2015 at School of Mathematics,. SMVD University, Katra, Jammu & Kashmir in association with School of Innovation and Community Develop- ment, SMVDU. The aim of the Course is to display the beauty of “complex ...

  18. Commonly Shared Foundation of Mathematics, Information Science, Natural Science, Social Science, and Theology

    OpenAIRE

    Wayne, James J.

    2014-01-01

    Through a simple thought experiment, this paper shows that there must be a shared foundation of mathematics, information science, natural science, social science, and theology. The thought experiment is to ask a volunteer to write down an arbitrary real number between 0 and 1 with many digits. For example, 0.19823765010367129462…. would be one of such numbers. Then we analyze this experiment result by asking five simple questions: Is the real number a random real? Can the observed real numbe...

  19. Mathematical sciences for climate change resilience (MS4CR ...

    International Development Research Centre (IDRC) Digital Library (Canada)

    This project will support the African Institute for Mathematical Sciences' Next Einstein Initiative (AIMS-NEI) in building a critical ... IDRC invites applications for the IDRC Research Awards 2019 ... ROSSA's latest bulletin puts a focus on women.

  20. African Journal of Educational Studies in Mathematics and Sciences ...

    African Journals Online (AJOL)

    African Journal of Educational Studies in Mathematics and Sciences. ... The level of detail varies; some disciplines produce manuscripts that comprise discrete .... Duplicate publication, sometimes called self-plagiarism, occurs when an author ...

  1. Gender Representation on Journal Editorial Boards in the Mathematical Sciences

    Science.gov (United States)

    2016-01-01

    We study gender representation on the editorial boards of 435 journals in the mathematical sciences. Women are known to comprise approximately 15% of tenure-stream faculty positions in doctoral-granting mathematical sciences departments in the United States. Compared to this group, we find that 8.9% of the 13067 editorships in our study are held by women. We describe group variations within the editorships by identifying specific journals, subfields, publishers, and countries that significantly exceed or fall short of this average. To enable our study, we develop a semi-automated method for inferring gender that has an estimated accuracy of 97.5%. Our findings provide the first measure of gender distribution on editorial boards in the mathematical sciences, offer insights that suggest future studies in the mathematical sciences, and introduce new methods that enable large-scale studies of gender distribution in other fields. PMID:27536970

  2. How In-Service Science Teachers Integrate History and Nature of Science in Elementary Science Courses

    Science.gov (United States)

    Hacieminoglu, Esme

    2014-01-01

    The purpose of this study is to investigate how the in-service science teachers' (IST) perceptions and practices about curriculum and integration of the history of science (HOS) and the nature of science (NOS) affect their science courses. For this aim, how ISTs integrated the NOS and HOS in their elementary science courses for understanding of…

  3. Inseparability of science history and discovery

    Directory of Open Access Journals (Sweden)

    J. M. Herndon

    2010-04-01

    Full Text Available Science is very much a logical progression through time. Progressing along a logical path of discovery is rather like following a path through the wilderness. Occasionally the path splits, presenting a choice; the correct logical interpretation leads to further progress, the wrong choice leads to confusion. By considering deeply the relevant science history, one might begin to recognize past faltering in the logical progression of observations and ideas and, perhaps then, to discover new, more precise understanding. The following specific examples of science faltering are described from a historical perspective: (1 Composition of the Earth's inner core; (2 Giant planet internal energy production; (3 Physical impossibility of Earth-core convection and Earth-mantle convection, and; (4 Thermonuclear ignition of stars. For each example, a revised logical progression is described, leading, respectively, to: (1 Understanding the endo-Earth's composition; (2 The concept of nuclear georeactor origin of geo- and planetary magnetic fields; (3 The invalidation and replacement of plate tectonics; and, (4 Understanding the basis for the observed distribution of luminous stars in galaxies. These revised logical progressions clearly show the inseparability of science history and discovery. A different and more fundamental approach to making scientific discoveries than the frequently discussed variants of the scientific method is this: An individual ponders and through tedious efforts arranges seemingly unrelated observations into a logical sequence in the mind so that causal relationships become evident and new understanding emerges, showing the path for new observations, for new experiments, for new theoretical considerations, and for new discoveries. Science history is rich in "seemingly unrelated observations" just waiting to be logically and causally related to reveal new discoveries.

  4. Basic training in mathematics a fitness program for science students

    CERN Document Server

    Shankar, R

    1995-01-01

    Based on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students This superb book offers students an excellent opportunity to strengthen their mathematical skills by solving various problems in differential calculus By covering material in its simplest form, students can look forward to a smooth entry into any course in the physical sciences

  5. Reviving ancient Chinese mathematics mathematics, history and politics in the work of Wu Wen-Tsun

    CERN Document Server

    Hudecek, Jiri

    2014-01-01

    Twentieth-century China has been caught between a desire to increase its wealth and power in line with other advanced nations, which, by implication, means copying their institutions, practices and values, whilst simultaneously seeking to preserve China's independence and historically formed identity. Over time, Chinese philosophers, writers, artists and politicians have all sought to reconcile these goals and this book shows how this search for a Chinese way penetrated even the most central, least contested area of modernity: science.Reviving Ancient Chinese Mathematics is a study of the life

  6. International Collaboration in the History of Science of Central Europe

    Czech Academy of Sciences Publication Activity Database

    Štrbáňová, Soňa

    2015-01-01

    Roč. 14, - (2015), s. 347-353 ISSN 1731-6715 Institutional support: RVO:68378114 Keywords : science in Habsburg Monarchy * cooperation in history of science * scientific terminology formation Subject RIV: AB - History

  7. Investigating Gender Differences in Mathematics and Science: Results from the 2011 Trends in Mathematics and Science Survey

    Science.gov (United States)

    Reilly, David; Neumann, David L.; Andrews, Glenda

    2017-06-01

    The underrepresentation of women in science, technology, engineering, and mathematics (STEM)-related fields remains a concern for educators and the scientific community. Gender differences in mathematics and science achievement play a role, in conjunction with attitudes and self-efficacy beliefs. We report results from the 2011 Trends in Mathematics and Science Study (TIMSS), a large international assessment of eighth grade students' achievement, attitudes, and beliefs among 45 participating nations (N = 261,738). Small- to medium-sized gender differences were found for most individual nations (from d = -.60 to +.31 in mathematics achievement, and d = -.60 to +.26 for science achievement), although the direction varied and there were no global gender differences overall. Such a pattern cross-culturally is incompatible with the notion of immutable gender differences. Additionally, there were different patterns between OECD and non-OECD nations, with girls scoring higher than boys in mathematics and science achievement across non-OECD nations. An association was found between gender differences in science achievement and national levels of gender equality, providing support for the gender segregation hypothesis. Furthermore, the performance of boys was more variable than that of girls in most nations, consistent with the greater male variability hypothesis. Boys reported more favorable attitudes towards mathematics and science, and girls reported lower self-efficacy beliefs. While the gender gap in STEM achievement may be closing, there are still large sections of the world where differences remain.

  8. Applied mathematics for science and engineering

    CERN Document Server

    Glasgow, Larry A

    2014-01-01

    Prepare students for success in using applied mathematics for engineering practice and post-graduate studies moves from one mathematical method to the next sustaining reader interest and easing the application of the techniques Uses different examples from chemical, civil, mechanical and various other engineering fields Based on a decade's worth of the authors lecture notes detailing the topic of applied mathematics for scientists and engineers Concisely writing with numerous examples provided including historical perspectives as well as a solutions manual for academic adopters

  9. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Amir Mafi1 2. Department of Mathematics, University of Kurdistan, P.O. Box 416, Sanandaj, Iran; Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran ...

  10. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Deepak Kumar Gumber1 Ram Karan2 Indu Pal2. School of Mathematics and Computer Applications, Thapar University, Patiala 147 004, India; Department of Mathematics, Kurukshetra University, Kurukshetra 136 119, India ...

  11. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. M Subbiah1 V Ganesh2. Department of Mathematics, Pondicherry University, Kalapet, Pondicherry 605 014, India; Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham University, Ettimadai, Coimbatore 641 105, India ...

  12. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Saurav Bhaumik1 Vikram Mehta2. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India; Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India ...

  13. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Hassan Azad1 Indranil Biswas2. Department of Mathematics and Statistics, King Fahd University, Saudi Arabia; School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India ...

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Yanheng Chen1 2 Guiyun Chen1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, People's Republic of China; School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404100, People's Republic of China ...

  15. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Nazim Agayev1 Tahire Özen2 Abdullah Harmanci3. Department of Pedagogy, Qafqaz University, Baku Azerbaijan; Mathematics Department, Ízzet Baysal University, Bolu, Türkiye; Mathematics Department, Hacettepe University, Ankara, Türkiye ...

  16. Science, technology, engineering, mathematics (STEM) as mathematics learning approach in 21st century

    Science.gov (United States)

    Milaturrahmah, Naila; Mardiyana, Pramudya, Ikrar

    2017-08-01

    This 21st century demands competent human resources in science, technology, engineering design and mathematics so that education is expected to integrate the four disciplines. This paper aims to describe the importance of STEM as mathematics learning approach in Indonesia in the 21st century. This paper uses a descriptive analysis research method, and the method reveals that STEM education growing in developed countries today can be a framework for innovation mathematics in Indonesia in the 21st century. STEM education integrate understanding of science, math skills, and the available technology with the ability to perform engineering design process. Implementation of mathematics learning with STEM approach makes graduates trained in using of mathematics knowledge that they have to create innovative products that are able to solve the problems that exist in society.

  17. Adding a Bit More History to Science Courses

    Science.gov (United States)

    DeBuvitz, William

    2011-01-01

    The usual science course is not meant to be a history course and the usual science book is not meant to be a history book. However, most science books do include some historical information. Unfortunately, the history part is usually so brief that it is far from interesting and often so oversimplified that it is totally wrong. Introductory physics…

  18. New directions in the history of modern science in China: global science and comparative history.

    Science.gov (United States)

    Elman, Benjamin A

    2007-09-01

    These essays collectively present new perspectives on the history of modem science in China since 1900. Fa-ti Fan describes how science under the Republic of China after 1911 exhibited a complex local and international character that straddled both imperialism and colonialism. Danian Hu focuses on the fate of relativity in the physics community in China after 1917. Zuoyue Wang hopes that a less nationalist political atmosphere in China will stimulate more transnational studies of modern science, which will in turn reveal the underlying commonalities in different national contexts. Sigrid Schmalzer compares the socialist and the capitalist contexts for science in China and reopens the sensitive question of the "mass line" during the Cultural Revolution. Grace Shen describes the tensions early Chinese scientists felt when choosing between foreign models for modem geology and their own professional identities in China. Taken together, these accounts present us with a comparative history of modern science in China that is both globally and locally informed.

  19. History, Applications, and Philosophy in Mathematics Education: HAPh--A Use of Primary Sources

    Science.gov (United States)

    Jankvist, Uffe Thomas

    2013-01-01

    The article first investigates the basis for designing teaching activities dealing with aspects of history, applications, and philosophy of mathematics in unison by discussing and analyzing the different "whys" and "hows" of including these three dimensions in mathematics education. Based on the observation that a use of history, applications, and…

  20. Colloquy on Minority Males in Science, Technology, Engineering, and Mathematics

    Science.gov (United States)

    Didion, Catherine; Fortenberry, Norman L.; Cady, Elizabeth

    2012-01-01

    On August 8-12, 2010 the National Academy of Engineering (NAE), with funding from the National Science Foundation (NSF), convened the Colloquy on Minority Males in Science, Technology, Engineering, and Mathematics (STEM), following the release of several reports highlighting the educational challenges facing minority males. The NSF recognized the…

  1. Pre-Service Teachers' Beliefs about Knowledge, Mathematics, and Science

    Science.gov (United States)

    Cady, Jo Ann; Rearden, Kristin

    2007-01-01

    This study examines the beliefs of K-8 preservice teachers during a content methods course. The goals of this course included exposing the preservice teachers to student-centered instructional methods for math and science and encouraging the development of lessons that would integrate mathematics and science. Prior research suggested that one must…

  2. Taiwanese Preservice Teachers' Science, Technology, Engineering, and Mathematics Teaching Intention

    Science.gov (United States)

    Lin, Kuen-Yi; Williams, P. John

    2016-01-01

    This study applies the theory of planned behavior as a basis for exploring the impact of knowledge, values, subjective norms, perceived behavioral controls, and attitudes on the behavioral intention toward science, technology, engineering, and mathematics (STEM) education among Taiwanese preservice science teachers. Questionnaires (N = 139)…

  3. Rural Alaska Science and Mathematics Network

    National Research Council Canada - National Science Library

    Brunk, Blanche R

    2005-01-01

    ...), are awarded to Alaska Native students. Academic preparation, lack of exposure to science careers in rural Alaska, and little connection between western science and Native traditional life have combined to impede Native students' interest...

  4. Rural Alaska Science and Mathematics Network

    National Research Council Canada - National Science Library

    Brunk, Blanche R

    2005-01-01

    ... and progress in math and science education. The goal of this project was to develop and deliver, both on-site and through distance learning, a comprehensive program of developmental and college preparatory math and science courses at minority...

  5. MendelWeb: An Electronic Science/Math/History Resource for the WWW.

    Science.gov (United States)

    Blumberg, Roger B.

    This paper describes a hypermedia resource, called MendelWeb that integrates elementary biology, discrete mathematics, and the history of science. MendelWeb is constructed from Gregor Menders 1865 paper, "Experiments in Plant Hybridization". An English translation of Mendel's paper, which is considered to mark the birth of classical and…

  6. Wolfgang Pauli - a portrait. History of science

    International Nuclear Information System (INIS)

    Fischer, E.P.

    2008-01-01

    Wolfgang Pauli (1900-1958) is named by his colleagues in the same breath with Isaac Newton and Albert Einstein, who named Pauli his ''mental son''. The history of science had neglected Pauli for a long time. The reason for this may be found in Pauli's attempts to capture the role of the unconscious in physics and the meaning of dreams in the creation of scientific pictures of the world. For Pauli a scientific method consisted in activating the unconscious and hoping that it would start up that specific type of ''painting viewing'' from which the terms can arise by which we express our understanding

  7. Algorithms in Modern Mathematics and Computer Science.

    Science.gov (United States)

    1980-01-01

    importance, since we will go on doing what we are doing no matter what it is called; after all, other disciplines like Mathematics and Chemistry are no...longer related very strongly to the etymology of their names. However, if I had a chance to vote for the name of my own discipline, I would choose to call

  8. Key Concept Mathematics and Management Science Models

    Science.gov (United States)

    Macbeth, Thomas G.; Dery, George C.

    1973-01-01

    The presentation of topics in calculus and matrix algebra to second semester freshmen along with a treatment of exponential and power functions would permit them to cope with a significant portion of the mathematical concepts that comprise the essence of several disciplines in a business school curriculum. (Author)

  9. Mathematics and Science Learning Opportunities in Preschool Classrooms

    Science.gov (United States)

    Piasta, Shayne B.; Pelatti, Christina Yeager; Miller, Heather Lynnine

    2014-01-01

    Research findings The present study observed and coded instruction in 65 preschool classrooms to examine (a) overall amounts and (b) types of mathematics and science learning opportunities experienced by preschool children as well as (c) the extent to which these opportunities were associated with classroom and program characteristics. Results indicated that children were afforded an average of 24 and 26 minutes of mathematics and science learning opportunities, respectively, corresponding to spending approximately 25% of total instructional time in each domain. Considerable variability existed, however, in the amounts and types of mathematics and science opportunities provided to children in their classrooms; to some extent, this variability was associated with teachers’ years of experience, teachers’ levels of education, and the socioeconomic status of children served in the program. Practice/policy Although results suggest greater integration of mathematics and science in preschool classrooms than previously established, there was considerable diversity in the amounts and types of learning opportunities provided in preschool classrooms. Affording mathematics and science experiences to all preschool children, as outlined in professional and state standards, may require additional professional development aimed at increasing preschool teachers’ understanding and implementation of learning opportunities in these two domains in their classrooms. PMID:25489205

  10. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Department of Mathematics, The University of Texas – Pan American, 1201 West University Drive, Edinburg, TX 78539, USA; School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA; Departamento de Matemáticas, Universidad de Antioquia, Calle 67 N◦53-108, Medellín, Colombia, USA ...

  11. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Universität Bonn, Institut für Angewandte Mathematik, Abt. für Stochastik, 53115 Bonn, Wegelerstr. 6, Deutschland; Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, RO-70700 Bucharest, Romania; Department of Mathematics, University of Illinois at Urbana-Champaign, Altgeld Hall, 1409 ...

  12. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Matija Cencelj1 Dušan Repovš1 Mikhail B Skopenkov2. Institute for Mathematics, Physics and Mechanics and Faculty of Education, University of Ljubljana, P.O. Box 2964, 1001 Ljubljana, Slovenia; Department of Differential Geometry, Faculty of Mechanics and Mathematics, Moscow State University, Moscow 119992, ...

  13. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Taras Radul1 Dušan Repovš2. Department of Mechanics and Mathematics, Lviv National University, Universytetska st., 1, Lviv, Ukraine 79602; Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 21, Ljubljana, Slovenia 1000 ...

  14. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ... Nadeem Ur Rehman2 Joso Vukman3. Faculty of Logistics, University of Maribor, Mariborska cesta 7, 3000 Celje, Slovenia; Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India; Department of Mathematics, Physics and Mechanics, University of Maribor, Gosposvetska 84, 2000 Maribor, Slovenia ...

  15. The Natural Science Underlying Big History

    Directory of Open Access Journals (Sweden)

    Eric J. Chaisson

    2014-01-01

    Full Text Available Nature’s many varied complex systems—including galaxies, stars, planets, life, and society—are islands of order within the increasingly disordered Universe. All organized systems are subject to physical, biological, or cultural evolution, which together comprise the grander interdisciplinary subject of cosmic evolution. A wealth of observational data supports the hypothesis that increasingly complex systems evolve unceasingly, uncaringly, and unpredictably from big bang to humankind. These are global history greatly extended, big history with a scientific basis, and natural history broadly portrayed across ∼14 billion years of time. Human beings and our cultural inventions are not special, unique, or apart from Nature; rather, we are an integral part of a universal evolutionary process connecting all such complex systems throughout space and time. Such evolution writ large has significant potential to unify the natural sciences into a holistic understanding of who we are and whence we came. No new science (beyond frontier, nonequilibrium thermodynamics is needed to describe cosmic evolution’s major milestones at a deep and empirical level. Quantitative models and experimental tests imply that a remarkable simplicity underlies the emergence and growth of complexity for a wide spectrum of known and diverse systems. Energy is a principal facilitator of the rising complexity of ordered systems within the expanding Universe; energy flows are as central to life and society as they are to stars and galaxies. In particular, energy rate density—contrasting with information content or entropy production—is an objective metric suitable to gauge relative degrees of complexity among a hierarchy of widely assorted systems observed throughout the material Universe. Operationally, those systems capable of utilizing optimum amounts of energy tend to survive, and those that cannot are nonrandomly eliminated.

  16. How can history of science matter to scientists?

    Science.gov (United States)

    Maienschein, Jane; Laubichler, Manfred; Loettgers, Andrea

    2008-06-01

    History of science has developed into a methodologically diverse discipline, adding greatly to our understanding of the interplay between science, society, and culture. Along the way, one original impetus for the then newly emerging discipline--what George Sarton called the perspective "from the point of view of the scientist"--dropped out of fashion. This essay shows, by means of several examples, that reclaiming this interaction between science and history of science yields interesting perspectives and new insights for both science and history of science. The authors consequently suggest that historians of science also adopt this perspective as part of their methodological repertoire.

  17. Euler European Libraries and Electronic Resources in Mathematical Sciences

    CERN Document Server

    The Euler Project. Karlsruhe

    The European Libraries and Electronic Resources (EULER) Project in Mathematical Sciences provides the EulerService site for searching out "mathematical resources such as books, pre-prints, web-pages, abstracts, proceedings, serials, technical reports preprints) and NetLab (for Internet resources), this outstanding engine is capable of simple, full, and refined searches. It also offers a browse option, which responds to entries in the author, keyword, and title fields. Further information about the Project is provided at the EULER homepage.

  18. Three views of logic mathematics, philosophy, and computer science

    CERN Document Server

    Loveland, Donald W; Sterrett, S G

    2014-01-01

    Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-orde

  19. Preparing Elementary Mathematics-Science Teaching Specialists.

    Science.gov (United States)

    Miller, L. Diane

    1992-01-01

    Describes a professional development program to train math/science specialists for the upper elementary school grades. Using results from an interest survey, 30 teachers were chosen to participate in a 3-year program to become math/science specialists. Presents the teaching model used and the advantages for teachers and students in having subject…

  20. Making mathematics and science integration happen: key aspects of practice

    Science.gov (United States)

    Ríordáin, Máire Ní; Johnston, Jennifer; Walshe, Gráinne

    2016-02-01

    The integration of mathematics and science teaching and learning facilitates student learning, engagement, motivation, problem-solving, criticality and real-life application. However, the actual implementation of an integrative approach to the teaching and learning of both subjects at classroom level, with in-service teachers working collaboratively, at second-level education, is under-researched due to the complexities of school-based research. This study reports on a year-long case study on the implementation of an integrated unit of learning on distance, speed and time, within three second-level schools in Ireland. This study employed a qualitative approach and examined the key aspects of practice that impact on the integration of mathematics and science teaching and learning. We argue that teacher perspective, teacher knowledge of the 'other subject' and of technological pedagogical content knowledge (TPACK), and teacher collaboration and support all impact on the implementation of an integrative approach to mathematics and science education.

  1. Valeriu Bologa’s studies on the history of science

    Science.gov (United States)

    BÂRSU, CRISTIAN

    2016-01-01

    History of science is a vast and complex domain, comprising many sub-domains, such as: the history of medicine, history of chemistry, history of physics etc. Different specialists in these sub-domains, trying to reach the general and integrative understanding of the history of science, succeeded only after they acquired a rich scientific experience in their fields of activity. One of the scientists who had interesting papers on the history of science was Valeriu Bologa (1892–1971). He was the first Romanian professor of history of medicine. Our paper presents some milestones regarding his preoccupations on the history of science. The aim of our study is to prove that, although he was primarily a historian of medicine, he surpassed this framework, proving to be a skillful historian of science. The topics of his works on the history of science included: the value of the unity of science, the ethical aspects of science during centuries, the interferences between the history of science and the history of medicine etc. PMID:27547069

  2. Valeriu Bologa's studies on the history of science.

    Science.gov (United States)

    Bârsu, Cristian

    2016-01-01

    History of science is a vast and complex domain, comprising many sub-domains, such as: the history of medicine, history of chemistry, history of physics etc. Different specialists in these sub-domains, trying to reach the general and integrative understanding of the history of science, succeeded only after they acquired a rich scientific experience in their fields of activity. One of the scientists who had interesting papers on the history of science was Valeriu Bologa (1892-1971). He was the first Romanian professor of history of medicine. Our paper presents some milestones regarding his preoccupations on the history of science. The aim of our study is to prove that, although he was primarily a historian of medicine, he surpassed this framework, proving to be a skillful historian of science. The topics of his works on the history of science included: the value of the unity of science, the ethical aspects of science during centuries, the interferences between the history of science and the history of medicine etc.

  3. A categorization of the 'whys' and 'hows' of using history in mathematics education

    DEFF Research Database (Denmark)

    Jankvist, Uffe Thomas

    2009-01-01

    This is a theoretical article proposing a way of organizing and structuring the discussion of why and how to use the history of mathematics in the teaching and learning of mathematics, as well as the interrelations between the arguments for using history and the approaches to doing so. The way...... history are placed into three categories of approaches: the illumination, the modules, and the history-based approaches. This categorization, along with a discussion of the motivation for using history being one concerned with either the inner issues (in-issues) or the metaperspective issues (meta-issues...

  4. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Special issue devoted to advances in specific areas of mathematics and proceedings of selected high quality conferences are also published. ... Editorial Manager is a user-friendly online submission and review management system. Authors ...

  5. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. A Carriazo1 L M Fernández1 A Rodríguez-Hidalgo1. Department of Geometry and Topology, Faculty of Mathematics, University of Sevilla, Apartado de Correos 1160, 41080-Sevilla, Spain ...

  6. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Stephen Dias Barreto1 2. Stat. Math. Unit, Indian Statistical Institute, Bangalore 560 059, India; Department of Mathematics, Goa University, Sub P.O. Goa University, Taleigao Plateau, Goa 403 206 ...

  7. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211 019, India; Department of Mathematics and Statistics, Queen's University, Jeffrey Hall, 99 University Avenue, Kingston, ON, Canada K7L 3N6 ...

  8. The Instructional Model for Using History of Science

    Science.gov (United States)

    Seker, Hayati

    2012-01-01

    This paper discusses the levels of The Instructional Model for Using History of Science (UHOS) to explain the relationship between the history of science and science teaching. The UHOS model proposes four levels: Conceptual Level, Epistemological Level, Sociocultural Level, and Interest Level. Each Level has sublevels with regards to types of…

  9. Mathematics for informatics and computer science

    CERN Document Server

    Audibert, Pierre

    2013-01-01

    How many ways do exist to mix different ingredients, how many chances to win a gambling game, how many possible paths going from one place to another in a network ? To this kind of questions Mathematics applied to computer gives a stimulating and exhaustive answer. This text, presented in three parts (Combinatorics, Probability, Graphs) addresses all those who wish to acquire basic or advanced knowledge in combinatorial theories. It is actually also used as a textbook. Basic and advanced theoretical elements are presented through simple applications like the Sudoku game, search engine al

  10. Graph comprehension in science and mathematics education: Objects and categories

    DEFF Research Database (Denmark)

    Voetmann Christiansen, Frederik; May, Michael

    types of registers. In the second part of the paper, we consider how diagrams in science are often composites of iconic and indexical elements, and how this fact may lead to confusion for students. In the discussion the utility of the Peircian semiotic framework for educational studies......, the typological mistake of considering graphs as images is discussed related to litterature, and two examples from engineering education are given. The educational implications for science and engineering are discussed, with emphasis on the need for students to work explicitly with conversions between different...... of representational forms in science is discussed, and how the objects of mathematics and science relate to their semiotic representations....

  11. History, philosophy, and science teaching: The present rapprochement

    Science.gov (United States)

    Matthews, Michael R.

    1992-03-01

    This paper traces the use of, and arguments for, the history and philosophy of science in school science courses. Specific attention is paid to the British National Curriculum proposals and to the recommendations of the US Project 2061 curriculum guidelines. Some objections to the inclusion of historical material in science courses are outlined and answered. Mention is made of the Piagetian thesis that individual psychological development mirrors the development of concepts in the history of science. This introduces the topic of idealisation in science. Some significant instances are itemised where science education has, at its considerable cost, ignored work in philosophy of science. Arguments for the inclusion of the history and philosophy of science in science teacher education programmes are given. The paper finishes with a list of topical issues in present science education where collaboration between science teachers, historians, philosophers, and sociologists would be of considerable benefit.

  12. Science Education for Democratic Citizenship through the Use of the History of Science

    Science.gov (United States)

    Kolsto, Stein Dankert

    2008-01-01

    Scholars have argued that the history of science might facilitate an understanding of processes of science. Focusing on science education for citizenship and active involvement in debates on socioscientific issues, one might argue that today's post-academic science differs from academic science in the past, making the history of academic science…

  13. Internalization of Malaysian mathematical and computer science journals

    OpenAIRE

    Zainab, A. N.

    2008-01-01

    The internationalization characteristics of two Malaysian journals, Bulletin of the Malaysian Mathematical Sciences Society ( indexed by ISI) and the Malaysian Journal of Computer Science ( indexed by Inspec and Scopus) is observed. All issues for the years 2000 to 2007 were looked at to obtain the following information, (i) total articles published between 2000 and 2007; (ii) the distribution of foreign and Malaysian authors publishing in the journals; (iii) the distribution of articles by c...

  14. The Legacy of Alladi Ramakrishnan in the Mathematical Sciences

    CERN Document Server

    Alladi, Krishnaswami; Rao, Calyampudi R

    2010-01-01

    In the spirit of Alladi Ramakrishnan's profound interest and contributions to three fields of science -- Mathematics, Statistics, and Physics -- this volume contains invited surveys and research articles from prominent members of these communities who also knew Ramakrishnan personally and greatly respected his influence in these areas of science. Historical photos, telegrams, and biographical narratives of Alladi Ramakrishnan's illustrious career of special interest are included as well.

  15. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ), Kalasalingam University, Anand Nagar, Krishnankoil 626126, India; School of Electrical Engineering and Computer Science, The University of Newcastle, Newcastle, NSW 2308, Australia; Department of Computer Science, Ball State ...

  16. An Analysis of the Model and Enacted Curricula for a History of Science Course in a Nationwide Teacher Education Program

    Science.gov (United States)

    Nouri, Noushin

    2017-01-01

    The UTeach program, a national model for undergraduate teacher preparation, includes "Perspectives on Science and Mathematics," a class designed to share content about the History of Science (HOS) with preservice teachers. UTeach provides a model curriculum as a sample for instructors teaching "Perspectives." The purpose of…

  17. Heuristic and algorithmic processing in English, mathematics, and science education.

    Science.gov (United States)

    Sharps, Matthew J; Hess, Adam B; Price-Sharps, Jana L; Teh, Jane

    2008-01-01

    Many college students experience difficulties in basic academic skills. Recent research suggests that much of this difficulty may lie in heuristic competency--the ability to use and successfully manage general cognitive strategies. In the present study, the authors evaluated this possibility. They compared participants' performance on a practice California Basic Educational Skills Test and on a series of questions in the natural sciences with heuristic and algorithmic performance on a series of mathematics and reading comprehension exercises. Heuristic competency in mathematics was associated with better scores in science and mathematics. Verbal and algorithmic skills were associated with better reading comprehension. These results indicate the importance of including heuristic training in educational contexts and highlight the importance of a relatively domain-specific approach to questions of cognition in higher education.

  18. Pharmacy students' perceptions of natural science and mathematics subjects.

    Science.gov (United States)

    Prescott, Julie; Wilson, Sarah Ellen; Wan, Kai-Wai

    2014-08-15

    To determine the level of importance pharmacy students placed on science and mathematics subjects for pursuing a career in pharmacy. Two hundred fifty-four students completed a survey instrument developed to investigate students' perceptions of the relevance of science and mathematics subjects to a career in pharmacy. Pharmacy students in all 4 years of a master of pharmacy (MPharm) degree program were invited to complete the survey instrument. Students viewed chemistry-based and biology-based subjects as relevant to a pharmacy career, whereas mathematics subjects such as physics, logarithms, statistics, and algebra were not viewed important to a career in pharmacy. Students' experience in pharmacy and year of study influenced their perceptions of subjects relevant to a pharmacy career. Pharmacy educators need to consider how they can help students recognize the importance of scientific knowledge earlier in the pharmacy curriculum.

  19. God created the integers the mathematical breakthroughs that changed history

    CERN Document Server

    2007-01-01

    Bestselling author and physicist Stephen Hawking explores the "masterpieces" of mathematics, 25 landmarks spanning 2,500 years and representing the work of 15 mathematicians, including Augustin Cauchy, Bernard Riemann, and Alan Turing. This extensive anthology allows readers to peer into the mind of genius by providing them with excerpts from the original mathematical proofs and results. It also helps them understand the progression of mathematical thought, and the very foundations of our present-day technologies. Each chapter begins with a biography of the featured mathematician, clearly explaining the significance of the result, followed by the full proof of the work, reproduced from the original publication.

  20. Science and Mathematics Mentees and Mentors: Who Benefits the Most?

    Science.gov (United States)

    Taylor, Rosemarye T.; Karcinski, Lisa

    2016-01-01

    The purpose of our study was to determine the extent to which differences in a mentor model for science and mathematics teachers accounted for variances in mentoring effectiveness and persistence rates of teachers. School district designee, mentor, and teacher perceptions of mentoring support were collected through the use of interviews and…

  1. Pre-Service Science and Mathematics Teachers' Thoughts about Technology

    Science.gov (United States)

    Aran, Özge Can; Derman, Ipek; Yagci, Esed

    2016-01-01

    This study aims to investigate pre-service teachers' opinions about the technology. In this respect, the opinions of pre-service science and mathematics teachers were taken. The study was carried out at a university, located in the capital of Turkey. The data were collected from 20 pre-service teachers in the department of secondary school science…

  2. Global Journal of Mathematical Sciences - Vol 8, No 2 (2009)

    African Journals Online (AJOL)

    Global Journal of Mathematical Sciences. ... On the choice of schools located outside the walkable neighbourhood of the household · EMAIL FREE FULL TEXT EMAIL FREE FULL TEXT DOWNLOAD FULL TEXT DOWNLOAD FULL TEXT. A.A Osagiede, V.U Ekhosuehi. http://dx.doi.org/10.4314/gjmas.v8i2.53758 ...

  3. Introductory Life Science Mathematics and Quantitative Neuroscience Courses

    Science.gov (United States)

    Duffus, Dwight; Olifer, Andrei

    2010-01-01

    We describe two sets of courses designed to enhance the mathematical, statistical, and computational training of life science undergraduates at Emory College. The first course is an introductory sequence in differential and integral calculus, modeling with differential equations, probability, and inferential statistics. The second is an…

  4. Computers in Science and Mathematics Education in the ASEAN Region.

    Science.gov (United States)

    Talisayon, Vivien M.

    1989-01-01

    Compares policies and programs on computers in science and mathematics education in the six ASEAN countries: Brunei, Indonesia; Malaysia, Philippines, Singapore, and Thailand. Limits discussion to the computer as a teaching aid and object of study, attendant problems, and regional cooperation. (MVL)

  5. ICT Integration in Science and Mathematics Lessons: Teachers ...

    African Journals Online (AJOL)

    The study reported in this paper used Guskey's model (Guskey, 2000) to systematically investigate teachers' experiences about the professional development programme on ICT integration in teaching and learning of Science and Mathematics in secondary schools. The study employed survey research design and an ...

  6. Restructuring STM (Science, Technology, and Mathematics) Education for Entrepreneurship

    Science.gov (United States)

    Ezeudu, F. O.; Ofoegbu, T. O.; Anyaegbunnam, N. J.

    2013-01-01

    This paper discussed the need to restructure STM (science, technology, and mathematics) education to reflect entrepreneurship. This is because the present STM education has not achieved its aim of making graduates self-reliant. Entrepreneurship education if introduced in the STM education will produce graduate who can effectively manage their…

  7. Mathematics and social science : a statistical mechanics approach to immigration

    NARCIS (Netherlands)

    Contucci, P.; Giardinà, C.

    2008-01-01

    Is modern science able to study social matters like those related to immigration phenomena on solid mathematical grounds? Can we for instance determine cultural robustness and the causes behind abrupt changes from cultural legacies? Can we predict, cause or avoid swings? A novel approach is under

  8. Consumer Citizenship Curriculum Guides for Social Studies, English, Science, Mathematics.

    Science.gov (United States)

    MacKenzie, Louise; Smith, Alice

    These four consumer citizenship curriculum guides for social studies, English, science, and mathematics incorporate consumer education into these subject matter areas in grades 8-12. Each guide is organized around 10 main component/goals. They are basic economics in the marketplace, credit, consumer law/protection, banking skills, comparison…

  9. Secondary School Science and Mathematics Teachers, Characteristics and Service Loads.

    Science.gov (United States)

    Mills, Thomas J.

    Determined were the educational and professional backgrounds, and some aspects of the operational environment of teachers of secondary school science and mathematics (Grades 7-12) in the public and private schools of the United States during the school year 1960-61. A stratified random sampling method was used to ensure proportional representation…

  10. Recent developments and applications in mathematics and computer science

    International Nuclear Information System (INIS)

    Churchhouse, R.F.; Tahir Shah, K.; Zanella, P.

    1991-01-01

    The book contains 8 invited lectures and 4 short seminars presented at the College on Recent Developments and Applications in Mathematics and Computer Science held in Trieste from 7 May to 1 June 1990. A separate abstract was prepared for each paper. Refs, figs and tabs

  11. An Alternative to Piagetian Psychology for Science and Mathematics Education

    Science.gov (United States)

    Novak, Joseph D.

    1978-01-01

    Reviews the basic precepts of the learning theories of Piaget and Ausubel. Although Piaget is credited for his contributions to educational psychology, the author supports Ausubel's theory of meaningful learning as more significant for future contributions in science and mathematics education. (CP)

  12. Focus: global currents in national histories of science: the "global turn" and the history of science in Latin America.

    Science.gov (United States)

    McCook, Stuart

    2013-12-01

    The "global turn" in the history of science offers new ways to think about how to do national and regional histories of science, in this case the history of science in Latin America. For example, it questions structuralist and diffusionist models of the spread of science and shows the often active role that people in Latin America (and the rest of the Global South) played in the construction of "universal" scientific knowledge. It suggests that even national or regional histories of science must be situated in a global context; all too often, such histories have treated global processes as a distant backdrop. At the same time, historians need to pay constant attention to the role of power in the construction of scientific knowledge. Finally, this essay highlights a methodological tool for writing globally inflected histories of science: the method of "following".

  13. A Student-Led Feedback Protocol on Writing Assignments in a History of Mathematics Course

    Science.gov (United States)

    White, Diana

    2014-01-01

    History of math courses are commonly offered in mathematics departments. Such courses naturally lend themselves to writing assignments, and a growing body of research supports writing as a means to learn mathematics. This article details two such assignments, providing an overview of the course in which they are situated, and a student-led…

  14. Beyond Motivation - History as a method for the learning of meta-discursive rules in mathematics

    DEFF Research Database (Denmark)

    Kjeldsen, Tinne Hoff; Blomhøj, Morten

    2012-01-01

    In this paper, we argue that history might have a profound role to play for learning mathematics by providing a self-evident (if not indispensable) strategy for revealing meta-discursive rules in mathematics and turning them into explicit objects of reflection for students. Our argument is based...

  15. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Larisa Gromova1 Alexander Vasil'ev2. Department of Mathematics and Mechanics, Saratov State University, Saratov 410026, Russia; Departamento de Matemática, Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile ...

  16. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    The discreteness of isometry groups in complex hyperbolic space is a fundamental problem. In this paper, the discreteness criteria of a -dimensional subgroup of S U ( n , 1 ) are investigated by using a test map which may not be in . Author Affiliations. Huani Qin1 2 Yueping Jiang1. College of Applied Mathematics, ...

  17. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    For the structure of a sonic boom produced by a simple aerofoil at a large distance from its source we take a physical model which consists of a leading shock (LS), a trailing shock (TS) and a one-parameter family of nonlinear wavefronts in between the two shocks. Then we develop a mathematical model and show that ...

  18. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    The aim here is to continue the investigation in [1] of Jacobians of a Klein surface and also to correct an error in [1]. Author Affiliations. Pablo Arés-Gastesi1 Indranil Biswas1. School of Mathematics, Tata Institute of Fundamental Research, Mumbai 400 005, India. Dates. Manuscript received: 23 August 2005. Proceedings ...

  19. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    In this paper, we study the null controllability of the viscous Camassa–Holm equation on the one-dimensional torus. By using a moving distributed control, we obtain that the system is null controllable for a given data with certain regularity. Author Affiliations. Peng Gao1. School of Mathematics and Statistics, and Center for ...

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Author Affiliations. Indranil Biswas1 N Raghavendra1 2. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India; Advanced Technology Centre, Tata Consultancy Services, K.L.K. Estate, Fateh Maidan Road, Hyderabad 500 001, India ...

  1. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    We give a criterion for filtered vector bundles over curves to admit a filtration preserving meromorphic connection that induces a given meromorphic connection on the corresponding graded bundle. Author Affiliations. Indranil Biswas1 Viktoria Heu2. School of Mathematics, Tata Institute of Fundamental Research, Homi ...

  2. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    We classify principal -bundles on the projective line over an arbitrary field of characteristic ≠ 2 or 3, where is a reductive group. If such a bundle is trivial at a -rational point, then the structure group can be reduced to a maximal torus. Author Affiliations. V B Mehta1 S Subramanian1. School of Mathematics, Tata ...

  3. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Under additional hypotheses on we deduce the existence of solutions if is unbounded. Author Affiliations. Marius Ghergu1 Constantin Niculescu1 Vicenţiu Rădulescu1. Department of Mathematics, University of Craiova, 1100 Craiova, Romania. Dates. Manuscript received: 22 February 2002; Manuscript revised: 23 May ...

  4. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    This paper surveys the existing literature on homogeneous operators and their relationships with projective representations of P S L ( 2 , R ) and other Lie groups. It also includes a list of open problems in this area. Author Affiliations. Bhaskar Bagchi1 Gadadhar Misra1. Theoretical Statistics and Mathematics Division, Indian ...

  5. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    ... consistent model for incompressible two-phase flows with phase transitions is considered mathematically. The model is based on first principles, i.e., balance of mass, momentum and energy. In the isothermal case, this problem is analysed to obtain local well-posedness, stability of non-degenerate equilibria, and global ...

  6. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    We find an explicit function approximating at high energies the kernel of the scattering matrix with arbitrary accuracy. Moreover, the same function gives all diagonal singularities of the kernel of the scattering matrix in the angular variables. Author Affiliations. D Yafaev1. Department of Mathematics, University Rennes-1, ...

  7. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    We consider a matrix operator = (-) + in , where ≥ 2, ≥ 1, 4 > + 1, and is the operator of multiplication by a periodic in matrix (). We study spectral ... Yu E Karpeshina1. Department of Mathematics, University of Alabama at Birmingham, 452 Campbell Hall, Birmingham AL 35294-1170, USA ...

  8. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    In particular, algebras with orthogonal involution which split as a tensor product of quaternion algebras with involution are studied. ... of an arbitrary unstable wave must approach zero as the wave length decreases to zero, is established in a mathematically rigorous fashion for plane parallel heterogeneous shear flows with ...

  9. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Appl. 175 (1993) 458), to establish mathematically, the existence of hydrodynamic instability in single diffusive bottom heavy systems, when considered in the more general framework of the boundary conditions of the type specified by Beavers and Joseph (J. Fluid Mech. 30 (1967) 197), in the parameter regime T 0 2 > 1 ...

  10. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Howard's conjecture, which states that in the linear instability problem of inviscid heterogeneous parallel shear flow growth rate of an arbitrary unstable wave must approach zero as the wave length decreases to zero, is established in a mathematically rigorous fashion for plane parallel heterogeneous shear flows with ...

  11. Interactions between Mathematics and Physics: The History of the Concept of Function--Teaching with and about Nature of Mathematics

    Science.gov (United States)

    Kjeldsen, Tinne Hoff; Lützen, Jesper

    2015-01-01

    In this paper, we discuss the history of the concept of function and emphasize in particular how problems in physics have led to essential changes in its definition and application in mathematical practices. Euler defined a function as an analytic expression, whereas Dirichlet defined it as a variable that depends in an arbitrary manner on another…

  12. Finite Mathematics and Discrete Mathematics: Is There a Difference?

    Science.gov (United States)

    Johnson, Marvin L.

    Discrete mathematics and finite mathematics differ in a number of ways. First, finite mathematics has a longer history and is therefore more stable in terms of course content. Finite mathematics courses emphasize certain particular mathematical tools which are useful in solving the problems of business and the social sciences. Discrete mathematics…

  13. Research in applied mathematics, numerical analysis, and computer science

    Science.gov (United States)

    1984-01-01

    Research conducted at the Institute for Computer Applications in Science and Engineering (ICASE) in applied mathematics, numerical analysis, and computer science is summarized and abstracts of published reports are presented. The major categories of the ICASE research program are: (1) numerical methods, with particular emphasis on the development and analysis of basic numerical algorithms; (2) control and parameter identification; (3) computational problems in engineering and the physical sciences, particularly fluid dynamics, acoustics, and structural analysis; and (4) computer systems and software, especially vector and parallel computers.

  14. History, Medicine, and Culture: History for Science Students.

    Science.gov (United States)

    Balog, C. Edward

    1980-01-01

    Describes college level history course entitled "Healers and Persons" for undergraduate medicine students. Topics include Greek medicine and Hippocrates, Galen of Pergamum, Islamic and Roman culture, medieval medicine, the Renaissance, Harvey, Pasteur, Lister, and Mendel. (KC)

  15. Integrating Mathematics, Science, and Language Arts Instruction Using the World Wide Web.

    Science.gov (United States)

    Clark, Kenneth; Hosticka, Alice; Kent, Judi; Browne, Ron

    1998-01-01

    Addresses issues of access to World Wide Web sites, mathematics and science content-resources available on the Web, and methods for integrating mathematics, science, and language arts instruction. (Author/ASK)

  16. Science Night at the Museum of the History of Science

    CERN Multimedia

    2004-01-01

    Would it surprise you to know that you can measure the speed of light using chocolate and a microwave oven? If you're interested in this and in finding out much more, come along to the Museum of the History of Science on 3 and 4 July 2004, when dozens of companies, institutions, colleges and organizations will be running exhibits, shows, and displays on the theme of counting and measuring. CERN will be there with a display stand that includes two particle detectors; one to sense muons arriving from cosmic rays that strike the Earth's atmosphere, and the other a prototype of an element of the OPAL detector which was used in the LEP to measure particle tracks from high energy electron-positron collisions. Full details are available from the Museum website at: http://www.lanuitdelascience.ch/

  17. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Instituto de Matemática e Estatística, Universidade de São Paulo (IME-USP), Caixa Postal 66281, São Paulo, CEP 05315-970, Brasil; Centre for Advanced Study in Mathematics, Panjab University, Chandigarh 160 014, India; Escola de Artes, Ciências e Humanidades, Universidade de São Paulo (EACH-USP), Rua Arlindo ...

  18. The development of mathematics throughout the centuries a brief history in a cultural context

    CERN Document Server

    Evans, Brian

    2014-01-01

    Throughout the book, readers take a journey throughout time and observe how people around the world have understood these patterns of quantity, structure, and dimension around them. The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Contex provides a brief overview of the history of mathematics in a very straightforward and understandable manner and also addresses major findings that influenced the development of mathematics as a coherent discipline. This book: Highlights the contributions made by various world cultures including African, Egyptian, Babyloni

  19. Mathematics Teachers' Response to the Reform Agenda: Results of the 1993 National Survey of Science and Mathematics Education.

    Science.gov (United States)

    Weiss, Iris R.

    The NCTM Standards call for the introduction of challenging mathematics content for all students beginning in the early grades. If teachers are to guide students in their exploration of mathematics concepts, they must themselves have a firm grasp of powerful mathematics concepts. This paper uses data from the 1993 National Survey of Science and…

  20. Employing Genetic "Moments" in the History of Mathematics in Classroom Activities

    Science.gov (United States)

    Farmaki, Vassiliki; Paschos, Theodorus

    2007-01-01

    The integration of history into educational practice can lead to the development of activities through the use of genetic "moments" in the history of mathematics. In the present paper, we utilize Oresme's genetic ideas--developed during the fourteenth century, including ideas on the velocity-time graphical representation as well as geometric…

  1. The Impact of Hands-On-Approach on Student Academic Performance in Basic Science and Mathematics

    Science.gov (United States)

    Ekwueme, Cecilia O.; Ekon, Esther E.; Ezenwa-Nebife, Dorothy C.

    2015-01-01

    Children can learn mathematics and sciences effectively even before being exposed to formal school curriculum if basic Mathematics and Sciences concepts are communicated to them early using activity oriented (Hands-on) method of teaching. Mathematics and Science are practical and activity oriented and can best be learnt through inquiry (Okebukola…

  2. Texas Academy of Mathematics and Science: 25 Years of Early College STEM Opportunities

    Science.gov (United States)

    Sayler, Michael F.

    2015-01-01

    The University of North Texas's Texas Academy of Mathematics and Science began admitting students to its 2-year early college entrance science, technology, engineering, and mathematics (STEM) program in the fall of 1988. This program provided accelerated entry for top students in Texas in the areas of mathematics and science. Approximately 200…

  3. 77 FR 70422 - Agency Information Collection Activities; Comment Request; Mathematics and Science Partnerships...

    Science.gov (United States)

    2012-11-26

    ...; Comment Request; Mathematics and Science Partnerships Program: Annual Performance Report AGENCY: Office of... notice will be considered public records. Title of Collection: Mathematics and Science Partnerships... Mathematics and Science Partnerships (MSP) program is a formula grant program to the States in which states...

  4. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    In this paper, we provide combinatorial meanings to two generalized basic series ... These results are an extension of the work of Goyal and Agarwal (Utilitas Math. ... of Basic and Applied Sciences, University College of Engineering, Punjabi ...

  5. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Exponential function method; nonlinear ordinary differential equations; viscous flow; ... The method is applied to two problems: viscous flow due to a stretching sheet ... School of Computing Sciences and Engineering, The University of Salford, ...

  6. History of Computer Science as an Instrument of Enlightenment

    OpenAIRE

    Fet , Yakov

    2013-01-01

    Part 6: Putting the History of Computing into Different Contexts; International audience; This report focuses on the dangerous problems that are currently facing the society – the negative phenomena in development of education and science. The most important way to solve this problem seems to be education and enlightenment. It is assumed that in the history of Computer Science, the intellectual and moral heritage of this history contains a wealth of material that can be used for the dissemina...

  7. SOME ASPECTS OF USING MATHEMATICS IN MEDICAL SCIENCES

    Directory of Open Access Journals (Sweden)

    Ivana Ilic

    2008-01-01

    Full Text Available The aim of the paper was to present some new possibilities of using mathematicsin medical sciences and medical practice. The so-called mathematical way of thinkingis presented, which is, basically, the starting point of usual way of thinking, and alsothe essence of scientific and technological literacy, necessary for the development oftheoretical and practical modern medicine. The aim of the paper was to show that it isreasonable to choose certain mathematical points of view, present them to thestudents of medicine, and thus, help them to use that knowledge in their futurestudies in order to be more successful in their professions. Modern mathematical andstatistical methods are important in professional and scientific work in clinical andlaboratory environment.

  8. Boundaries and audiences of national histories of science: insights from the history of science and technology of the Netherlands.

    Science.gov (United States)

    Homburg, Ernst

    2008-01-01

    The present paper traces the evolution of writing national-oriented histories of science and technology of the Netherlands. Several episodes are distinguished. A first wave of national histories of science and technology was written during the first decades of the 19th century. These histories had a wide scope, which included science, technology, the humanities and the arts. A second wave, which lasted from about 1865 to 1900, was strongly connected to the rise of the scientific professions. Its focus was on the sciences perse, and on the Dutch "Golden Age" of the 17th century. A third wave occurred during and shortly after the Second World War. Its focus was mainly on the "Second Golden Age" of Dutch science (1870-1910), and its major audience were young boys that were to be recruited to the sciences. The second part of the paper discusses the growing influence of "contextualization" in both the history of science and the history of technology from about 1975 onwards. As a result, local factors often received more attention in historical studies of science and technology than national influences. In 1985, Klaas van Berkel undertook a bold attempt to write a new synthesis of the history of Dutch science, but his approach was too strongly influenced by the three previous waves of national histories. From 1989 to 2003 two projects on the national history of technology resulted in 13 volumes on Dutch technology between 1800 and 1970. New research was initiated, and the issue of "national styles" in the development of technology received ample attention. In his conclusions the author points to lessons to be learned from economic history and the history of art, and he concludes with a plea for more historiographical discussion in the history of science and technology.

  9. Mathematical modeling and signal processing in speech and hearing sciences

    CERN Document Server

    Xin, Jack

    2014-01-01

    The aim of the book is to give an accessible introduction of mathematical models and signal processing methods in speech and hearing sciences for senior undergraduate and beginning graduate students with basic knowledge of linear algebra, differential equations, numerical analysis, and probability. Speech and hearing sciences are fundamental to numerous technological advances of the digital world in the past decade, from music compression in MP3 to digital hearing aids, from network based voice enabled services to speech interaction with mobile phones. Mathematics and computation are intimately related to these leaps and bounds. On the other hand, speech and hearing are strongly interdisciplinary areas where dissimilar scientific and engineering publications and approaches often coexist and make it difficult for newcomers to enter.

  10. Mathematical and Statistical Methods for Actuarial Sciences and Finance

    CERN Document Server

    Legros, Florence; Perna, Cira; Sibillo, Marilena

    2017-01-01

    This volume gathers selected peer-reviewed papers presented at the international conference "MAF 2016 – Mathematical and Statistical Methods for Actuarial Sciences and Finance”, held in Paris (France) at the Université Paris-Dauphine from March 30 to April 1, 2016. The contributions highlight new ideas on mathematical and statistical methods in actuarial sciences and finance. The cooperation between mathematicians and statisticians working in insurance and finance is a very fruitful field, one that yields unique  theoretical models and practical applications, as well as new insights in the discussion of problems of national and international interest. This volume is addressed to academicians, researchers, Ph.D. students and professionals.

  11. History of Science and Medicine in Turkish History Secondary School Textbooks

    Science.gov (United States)

    Karabag, S. Gulin

    2015-01-01

    In this paper, it is aimed to analyze the acquirements and topics in Turkish secondary school history textbooks that are published by the Ministry of National Education (MEB) and by the private sector to determine to what extend the place given to history of science and history of medicine. In the study, the document and content analysis…

  12. Concurrent phenomena of science and history in the 17th century and their essential interdependence.

    Science.gov (United States)

    Bloch, H.

    1992-01-01

    The explanation for the explosion of science in the 17th century lies in history and medical historiography. Without this approach, it becomes fantasy, accidents, or success stories. Sigerist grasped the essential interdependence of science and history, and had no need for devised reasons or speculation. He realized that once the dark night of the Middle Ages was over, the sciences arose with undreamt of force and accelerated development. The advances in astronomy, mathematics, mechanics, and experimental science benefitted a society developing in seafaring, manufacture, and trade in the 17th century. Sigerist's views make the scientific explosion understandable in human and social terms. He did not overlook the capabilities of some extraordinary individuals, such as Paracelsus (1493-1541), to shape the course of medicine, nor the importance of the mechanistic philosophy in the 17th century. Man makes history and science; hence, we find concurrent phenomena of history and science essentially interdependent. The spirit of experimental science of 17th century England was inspired by the new needs of commercial enterprise for more means of transportation and communication. Likewise, the interest in the mechanics of the pump for waterworks and for the drainage of swamps led Harvey to think of the heart as a pump, and to explain the circulation of the blood in terms of its functioning. PMID:1608066

  13. Girls in Engineering, Mathematics and Science, GEMS: A Science Outreach Program for Middle-School Female Students

    Science.gov (United States)

    Dubetz, Terry A.; Wilson, Jo Ann

    2013-01-01

    Girls in Engineering, Mathematics and Science (GEMS) is a science and math outreach program for middle-school female students. The program was developed to encourage interest in math and science in female students at an early age. Increased scientific familiarity may encourage girls to consider careers in science and mathematics and will also help…

  14. Improving the Science and Mathematic Achievement of Mexican American Students Through Culturally Relevant Science. ERIC Digest.

    Science.gov (United States)

    Marinez, Diana I.; Ortiz de Montellano, Bernardo R.

    There are many ways in which science can be made culturally relevant: archeoastronomy, mathematics, geology, ethnobotany, chemistry, and art can all be taught from a perspective celebrating the accomplishments of Mexican American and American Indian science and encouraging exploration. A culturally relevant curriculum provides teachers with…

  15. STEM Education and Leadership: A Mathematics and Science Partnership Approach

    OpenAIRE

    Twyford, John; Järvinen, Esa-Matti

    2010-01-01

    The issue of attracting more young people to choose careers in science, technology, engineering, and mathematics (STEM) has become critical for the United States. Recent studies by businesses, associations, and education have all agreed that the United States’ performance in the STEM disciplines have placed our nation in grave risk of relinquishing its competitive edge in the marketplace (e.g., Rising above the gathering storm, 2007). A Congressional Research Service (2006) report stated that...

  16. Introductory life science mathematics and quantitative neuroscience courses.

    Science.gov (United States)

    Duffus, Dwight; Olifer, Andrei

    2010-01-01

    We describe two sets of courses designed to enhance the mathematical, statistical, and computational training of life science undergraduates at Emory College. The first course is an introductory sequence in differential and integral calculus, modeling with differential equations, probability, and inferential statistics. The second is an upper-division course in computational neuroscience. We provide a description of each course, detailed syllabi, examples of content, and a brief discussion of the main issues encountered in developing and offering the courses.

  17. History, Science And The Dilemma Of Contemporary Sociology: The ...

    African Journals Online (AJOL)

    History and natural sciences are two important fields of study that have informed and influenced sociology as a discipline. Traditionally common to these influences on sociology is the need to generalise. Today, however only the natural sciences can still lay claim to this principle. In generalising, the natural science ...

  18. The History of Archives and the History of Science: Comment.

    Science.gov (United States)

    James, Kathryn

    2016-03-01

    Drawing on Terry Cook's famous challenge to the relationship of historians to the archive, this comment responds to the four preceding Focus essays, offering an examination of the roles, in particular, of acquisition and appraisal, canon formation, and place or location in the relationship that historians of science have with the archive.

  19. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    In this paper, we prove an interesting reciprocity formula for a certain case of a general Dedekind sums using analytic methods and the Fourier expansion of the Bernoulli polynomials. Author Affiliations. Yuan Yi1. Research Center for Basic Science, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, People's Republic of ...

  20. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    All correspondence regarding subscription within India should be addressed to: The Circulation Department Indian Academy of Sciences, C V Raman Avenue, Bengaluru 560 080, India. Download the Order Form (2018): Institution and Personal. Please Note: Starting 2007, all International Subscriptions are handled by ...

  1. Proceedings – Mathematical Sciences | Indian Academy of Sciences

    Indian Academy of Sciences (India)

    Using Ramanujan's identities and the Weierstrass--Enneper representation of minimal surfaces, and the analogue for Born--Infeld solitons, we derive further nontrivial identities. Author Affiliations. RUKMINI DEY1. International Centre for Theoretical Sciences (ICTS)-TIFR, Survey No. 151, Shivakote, Hesaraghatta ...

  2. A reflection on feelings and the history of science.

    Science.gov (United States)

    Dror, Otniel E

    2009-12-01

    This reflection attends to Paul White's call in his introduction to this Focus section for a history of science that is informed by the history of emotions. It offers a succinct historical exemplification of the possibilities of studying the history of science in terms of the history of emotions. It draws on Raymond Williams's concept of "structure of feeling" in arguing for the emergence of an adrenaline structure of feeling during the early twentieth century. It provides a mosaic of different views of the immanence of the adrenaline structure of feeling in diverse scientific realms by broaching some of the major themes that appear in the individual essays in this Focus section.

  3. History of Science as an Instructional Context: Student Learning in Genetics and Nature of Science

    Science.gov (United States)

    Kim, Sun Young; Irving, Karen E.

    2010-01-01

    This study (1) explores the effectiveness of the contextualized history of science on student learning of nature of science (NOS) and genetics content knowledge (GCK), especially interrelationships among various genetics concepts, in high school biology classrooms; (2) provides an exemplar for teachers on how to utilize history of science in…

  4. Representations of Nature of Science in Selected Histories of Science in

    Science.gov (United States)

    Wei, Bing; Li, Yue; Chen, Bo

    2013-01-01

    This study aimed to examine the representations of nature of science (NOS) in the eight histories of science selected from three series of integrated science textbooks used in junior high school in China. Ten aspects of NOS were adopted in the analytical framework. It was found that NOS had not been well treated in the selected histories of…

  5. Enhancing Science and Mathematics Education for Child Care Providers and Preschool Teachers.

    Science.gov (United States)

    White, Jennifer Meux; Hosoume, Kimi

    The Lawrence Hall of Science (LHS), University of California at Berkeley has completed a 3-year project to develop a science and mathematics education course and science curriculum for early childhood educators. This project was in response to the need for improving the science and mathematics knowledge and teaching skills of adults who work with…

  6. Deleuze and the history of mathematics in defence of the 'new'

    CERN Document Server

    Duffy, Simon

    2013-01-01

    Gilles Deleuze's engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges are an opportunity to reconfigure particular philosophical problems - for example, the problem of individuation - and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze's philosophy, as well as addressing the undervalued

  7. Teaching the History and Philosophy of Science in Secondary Schools.

    Science.gov (United States)

    Frazier, Kenneth L.

    1980-01-01

    Lists educational objectives, course syllabus, audiovisual materials, and bibliography for a secondary school course on the history and philosophy of science. The class consists of discussions, lectures, use of film and filmstrips, and student research papers. (KC)

  8. Goals for the Correlation of Elementary Science and Mathematics; The Report of the Cambridge Conference on the Correlation of Science and Mathematics in Schools.

    Science.gov (United States)

    Cambridge Conference on School Mathematics, Newton, MA.

    This is The Report of the 1967 Cambridge Conference on the Correlation of Science and Mathematics in the Schools. It is addressed to professionals in education, and is designed to stimulate dialogue among them concerning the mathematics-science curriculum. The report is organized in five chapters, each dealing respectively with (1) educational…

  9. What's Luck Got to Do with It? The History, Mathematics, and Psychology of the Gambler's Illusion

    CERN Document Server

    Mazur, Joseph

    2010-01-01

    Why do so many gamblers risk it all when they know the odds of winning are against them? Why do they believe dice are "hot" in a winning streak? Why do we expect heads on a coin toss after several flips have turned up tails? What's Luck Got to Do with It? takes a lively and eye-opening look at the mathematics, history, and psychology of gambling to reveal the most widely held misconceptions about luck. It exposes the hazards of feeling lucky, and uses the mathematics of predictable outcomes to show when our chances of winning are actually good. Mathematician Joseph Mazur traces the history of

  10. Mathematical Concepts and Proofs from Nicole Oresme: Using the History of Calculus to Teach Mathematics

    Science.gov (United States)

    Babb, Jeff

    2005-01-01

    This paper examines the mathematical work of the French bishop, Nicole Oresme (c. 1323-1382), and his contributions towards the development of the concept of graphing functions and approaches to investigating infinite series. The historical importance and pedagogical value of his work will be considered in the context of an undergraduate course on…

  11. Interdisciplinary Navigation Unit for Mathematics and Earth Science Using Geospatial Technology

    Science.gov (United States)

    Smaglik, S. M.; Harris, V.

    2006-12-01

    Central Wyoming College (CWC) is located northeast of the Wind River Mountains. Although many people find recreation in the wilderness and remote areas surrounding the area, people still lose their lives because they become lost or disoriented. Creating an interdisciplinary field-based curriculum unit within mathematics (MATH 1000) and earth science (GEOL 1070) courses for non-science and education majors, provides students an opportunity to develop critical thinking skills and quantitative literacy. It also provides some necessary skills for survival and an understanding of landscape formation and wilderness navigation using geoscience. A brief history of navigation, including the importance of finding latitude and longitude, and the fairly recent implementation of the Global Positioning System, precedes activities in which students learn to use a basic compass. In addition to learning how to adjust for magnetic declination they read topographic maps, specifically USGS quadrangles, and learn how to use the scale in the legend to verify calculations using the Pythagorean Theorem. Students learn how to estimate distance and time required for traveling a pre- determined distance while using dimensional analysis to convert from the English system to metric. They learn how to read and measure latitude and longitude, as well as universal transverse Mercator projection measurements (UTM's), to find their position. The basic mathematical skills are assessed through hands-on activities such as finding their location on a map using a compass, a GPS unit, and Google Earth, and using a combination of maps, compasses, and GPS units to navigate through a course. Our goal is to provide life-saving information to students while incorporating necessary core curriculum from both mathematics and earth science classes. We work to create field-based activities, as well as assessments, to insure that students who complete the course are prepared to safely enjoy the outdoors and are

  12. Eric Davidson, his philosophy, and the history of science.

    Science.gov (United States)

    Deichmann, Ute

    2017-10-16

    Eric Davidson, a passionate molecular developmental biologist and intellectual, believed that conceptual advances in the sciences should be based on knowledge of conceptual history. Convinced of the superiority of a causal-analytical approach over other methods, he succeeded in successfully applying this approach to the complex feature of organismal development by introducing the far-reaching concept of developmental Gene Regulatory Networks. This essay reviews Davidson's philosophy, his support for the history of science, and some aspects of his scientific personality.

  13. Logical studies of paraconsistent reasoning in science and mathematics

    CERN Document Server

    Verdée, Peter

    2016-01-01

    This book covers work written by leading scholars from different schools within the research area of paraconsistency. The authors critically investigate how contemporary paraconsistent logics can be used to better understand human reasoning in science and mathematics. Offering a variety of perspectives, they shed a new light on the question of whether paraconsistent logics can function as the underlying logics of inconsistent but useful scientific and mathematical theories. The great variety of paraconsistent logics gives rise to various, interrelated questions, such as what are the desiderata a paraconsistent logic should satisfy, is there prospect of a universal approach to paraconsistent reasoning with axiomatic theories, and to what extent is reasoning about sets structurally analogous to reasoning about truth. Furthermore, the authors consider paraconsistent logic’s status as either a normative or descriptive discipline (or one which falls in between) and which inconsistent but non-trivial axiomatic th...

  14. Challenging hyperprofessionalisation vs. hyperpopularisation in the history of science

    DEFF Research Database (Denmark)

    Nielsen, Kristian Hvidtfelt

    , the history of science profession now suffers from a crisis of readership?. In contrast, ever since the publication of Dava Sobel?s surprising bestseller, Longitude, popular history of science has dramatically increased its readership. Some historians of science lament the Sobel Effect, whereas others take up......Recently, Steven Shapin have identified a pathological form of professionalism in the history of science. He calls the disease hyperprofessionalism. Its symptoms include self-referentiality, self-absorption, and a narrowing of intellectual focus. Partly as a result of hyperprofessionalism...... the challenge by writing books for a broader audience. In effect, historians of science seemed to be faced with the choice between hyperprofessionalisation and hyperpopularisation. This paper attempts a first deconstruction of the twin notions of hyperprofessionalisation vs. hyperpopularisation....

  15. A mathematical approach to research problems of science and technology theoretical basis and developments in mathematical modeling

    CERN Document Server

    Ei, Shin-ichiro; Koiso, Miyuki; Ochiai, Hiroyuki; Okada, Kanzo; Saito, Shingo; Shirai, Tomoyuki

    2014-01-01

    This book deals with one of the most novel advances in mathematical modeling for applied scientific technology, including computer graphics, public-key encryption, data visualization, statistical data analysis, symbolic calculation, encryption, error correcting codes, and risk management. It also shows that mathematics can be used to solve problems from nature, e.g., slime mold algorithms. One of the unique features of this book is that it shows readers how to use pure and applied mathematics, especially those mathematical theory/techniques developed in the twentieth century, and developing now, to solve applied problems in several fields of industry. Each chapter includes clues on how to use "mathematics" to solve concrete problems faced in industry as well as practical applications. The target audience is not limited to researchers working in applied mathematics and includes those in engineering, material sciences, economics, and life sciences.

  16. International collaboration in the history of science of Central Europe

    Directory of Open Access Journals (Sweden)

    Soňa ŠTRBÁŇOVÁ

    2015-12-01

    Full Text Available In the last ten years, approximately, we could witness an evolution in informal international collaboration focusing on shared and interconnected history of science in the Habsburg Monarchy and in Central Europe in general. This effort, which includes mainly historians of science from Austria, Czech Republic, Hungary and Poland, has already produced a number of important results and contributed to the thematization of some timeless topics of history of sciences such as, for instance, nationalization and internationalization of science. In the context of this cooperation, the seminar of Jan Surman, a historian of science of Polish descent, held at the Institute of Contemporary History of the Czech Academy of Sciences in Prague in May 2015, concentrated on the formation of national scientific terminologies. It also underlined the necessity and usefulness of international collaboration in achieving a deeper understanding of the “national” histories of science, which cannot be separated from the “international” history.

  17. Navigation and history of science: Scurvy

    Directory of Open Access Journals (Sweden)

    Ignacio Jáuregui-Lobera

    2017-09-01

    Full Text Available The history of scurvy might be summarized in terms of mystery, death, tenacity and finally success. In this history three very important people deserve special mention, two of them were doctors, the other one was a famous navigator: Lind, Blane and Cook. The first one had the glory of having been the author of the first clinical trial, as we understand it nowadays, with all the criticisms that could be done at present. However, the joint effort of these three men led to the solution of something, which seemed to be an irresolvable mystery.

  18. Navigation and History of Science: Beriberi

    Directory of Open Access Journals (Sweden)

    Ignacio Jáuregui-Lobera

    2017-10-01

    Full Text Available The history of beriberi is an example of national pride, different social classes, research efforts and also luck. All histories have their main protagonists. In this case, perhaps the most significant people were Christiaan Eijkman, William Fletcher and Kanehiro Takaki. Infection, toxicity and feeding, among other factors, were the starting points to support the initial etiopathogenic bases of the disease. The experimental and epidemiological work of these authors gave the key about the cause of beriberi and its effective treatment. As in the case of scurvy, the mystery was solved not without very hard work and many previous mistakes.

  19. The history of mathematics in the Krakow University of Technology (1945–2015 (in Polish

    Directory of Open Access Journals (Sweden)

    Jan Koroński

    2015-12-01

    Full Text Available The subject of the paper is the history of Mathematics at the Krakow University of Technology since 1945 up to 2015. It presents profiles of the most famous mathematicians in the history of the Krakow University of Technology (M. Krzyżański, J. Bochenek, F. Barański, I. Łojczyk-Królikiewicz and some information about their scientific achievements.

  20. New trends and advanced methods in interdisciplinary mathematical sciences

    CERN Document Server

    2017-01-01

    The latest of five multidisciplinary volumes, this book spans the STEAM-H (Science, Technology, Engineering, Agriculture, Mathematics, and Health) disciplines with the intent to generate meaningful interdisciplinary interaction and student interest. Emphasis is placed on important methods and applications within and beyond each field. Topics include geometric triple systems, image segmentation, pattern recognition in medicine, pricing barrier options, p-adic numbers distribution in geophysics data pattern, adelic physics, and evolutionary game theory. Contributions were by invitation only and peer-reviewed. Each chapter is reasonably self-contained and pedagogically presented for a multidisciplinary readership.

  1. Nonlinearity: The History and Philosophy of the Science

    Science.gov (United States)

    Burke, Kenneth M.

    2009-01-01

    This article provides for a concise history of nonlinearity from the context of the changing assumptions in science throughout the turn of the twentieth century. Concerned with the development of an ethics of technology in higher education, it establishes a background for ongoing research on quantitative methods in the social sciences. The history…

  2. Brief history of patient safety culture and science.

    Science.gov (United States)

    Ilan, Roy; Fowler, Robert

    2005-03-01

    The science of safety is well established in such disciplines as the automotive and aviation industry. In this brief history of safety science as it pertains to patient care, we review remote and recent publications that have guided the maturation of this field that has particular relevance to the complex structure of systems, personnel, and therapies involved in caring for the critically ill.

  3. Reflections on the History of Science and Technology in Austria

    International Nuclear Information System (INIS)

    Broda, E.

    1972-01-01

    This text was written for a talk given by E. Broda in Vienna on the symposium “The future of Science a Technology” held within the framework of the Austrian National Day in Vienna in 1972 and it addresses amongst other Victor Weisskopf. The text is about reflections on the history of science and technology in Austria. (nowak)

  4. Documenting Collections: Cornerstones for More History of Science in Museums

    Science.gov (United States)

    Lourenço, Marta C.; Gessner, Samuel

    2014-01-01

    Historians of science have recently become increasingly involved with collections and scientific instruments. This creates opportunities for a more significant role of history in museums of science, as well as more meaningful and contextualized exhibitions and educational programmes. However, complementing the mainstream focus on universal…

  5. Medicine, 1450-1620, and the history of science.

    Science.gov (United States)

    Siraisi, Nancy G

    2012-09-01

    History of science and history of medicine are today largely organized as distinct disciplines, though ones widely recognized as interrelated. Attempts to evaluate the extent and nature of their relation have reached varying conclusions, depending in part on the historical period under consideration. This essay examines some characteristics of European medicine from the fifteenth to the early seventeenth century and considers their relevance for the history of science. Attention is given to the range of interests and activities of individuals trained in or practicing medicine, to the impact of changes in natural philosophy, to the role of observation, description, and accumulation of information, and to the exchange of knowledge among the medical community.

  6. 2016 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics

    CERN Document Server

    Schlimm, Dirk

    2017-01-01

    This volume contains fourteen papers that were presented at the 2016 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held at the University of Calgary in Alberta, Canada. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of topics in the history and philosophy of mathematics, this meeting also honored the life and work of the logician and philosopher of mathematics Aldo Antonelli (1962-2015). The first four papers in this book are part of that remembrance and have a philosophical focus. Included in these are a discussion of Bolzano’s objections to Kant’s philosophy of mathematics and an examination of the influence of rhetorical and poetic aesthetics on the development of symbols in the 16th and 17thCenturies. The remaining papers deal with the history of mathematics and cover such subjects as Early schemes for polar ordinates in the work of L’Hôpital, bas...

  7. Revising Teacher Candidates' Views of Science and Self: Can Accounts from the History of Science Help?

    Science.gov (United States)

    Lewthwaite, Brian; Murray, John; Hechter, Richard

    2012-01-01

    Our inquiry uses accounts from the history of science to develop teacher-candidate (student teacher) understanding of the nature of science (NOS) in a science teacher education methods course. This understanding of the NOS is then used as a foundation for developing teacher candidate appreciation of the attributes of authentic science lessons.…

  8. Enhancing student engagement to positively impact mathematics anxiety, confidence and achievement for interdisciplinary science subjects

    Science.gov (United States)

    Everingham, Yvette L.; Gyuris, Emma; Connolly, Sean R.

    2017-11-01

    Contemporary science educators must equip their students with the knowledge and practical know-how to connect multiple disciplines like mathematics, computing and the natural sciences to gain a richer and deeper understanding of a scientific problem. However, many biology and earth science students are prejudiced against mathematics due to negative emotions like high mathematical anxiety and low mathematical confidence. Here, we present a theoretical framework that investigates linkages between student engagement, mathematical anxiety, mathematical confidence, student achievement and subject mastery. We implement this framework in a large, first-year interdisciplinary science subject and monitor its impact over several years from 2010 to 2015. The implementation of the framework coincided with an easing of anxiety and enhanced confidence, as well as higher student satisfaction, retention and achievement. The framework offers interdisciplinary science educators greater flexibility and confidence in their approach to designing and delivering subjects that rely on mathematical concepts and practices.

  9. Aspects of Mathematical Modelling Applications in Science, Medicine, Economics and Management

    CERN Document Server

    Hosking, Roger J

    2008-01-01

    The construction of mathematical models is an essential scientific activity. Mathematics has long been associated with developments in the exact sciences and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in many other fields. The contributors to this book demonstrate the application of mathematics to modern research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.

  10. Partial Support of Meeting of the Board on Mathematical Sciences and Their Applications

    Energy Technology Data Exchange (ETDEWEB)

    Weidman, Scott [National Academy of Sciences, Washington DC (United States)

    2014-08-31

    During the performance period, BMSA released the following major reports: Transforming Combustion Research through Cyberinfrastructure (2011); Assessing the Reliability of Complex Models: Mathematical and Statistical Foundations of Verification, Validation, and Uncertainty Quantification (2012); Fueling Innovation and Discovery: The Mathematical Sciences in the 21st Century (2012); Aging and the Macroeconomy: Long-Term Implications of an Older Population (2012); The Mathematical Sciences in 2025 (2013); Frontiers in Massive Data Analysis (2013); and Developing a 21st Century Global Library for Mathematics Research (2014).

  11. History of Mathematics: Three Activities to Use with Undergraduate Students and In-Service Teachers

    Science.gov (United States)

    Loats, Jim; White, Diana; Rubino, Carmen

    2014-01-01

    We provide in-depth information and analysis on three activities for use in History of Mathematics courses taught either in a traditional semester format for undergraduates or in a summer professional development course for middle school teachers. These activities require students to be active participants in their own learning. They also…

  12. Gender Differences in Online Participation: Examining a History and a Mathematics Open Foundation Online Course

    Science.gov (United States)

    Morante, Annette; Djenidi, Valerie; Clark, Helene; West, Susan

    2017-01-01

    With enrolment and completion rates in the University of Newcastle's online Open Foundation enabling program being considerably higher for women than for men, this case study investigates the engagement of male and female students in two different subject areas. History and Mathematics students' online behaviour is examined to identify whether…

  13. Applying science and mathematics to big data for smarter buildings.

    Science.gov (United States)

    Lee, Young M; An, Lianjun; Liu, Fei; Horesh, Raya; Chae, Young Tae; Zhang, Rui

    2013-08-01

    Many buildings are now collecting a large amount of data on operations, energy consumption, and activities through systems such as a building management system (BMS), sensors, and meters (e.g., submeters and smart meters). However, the majority of data are not utilized and are thrown away. Science and mathematics can play an important role in utilizing these big data and accurately assessing how energy is consumed in buildings and what can be done to save energy, make buildings energy efficient, and reduce greenhouse gas (GHG) emissions. This paper discusses an analytical tool that has been developed to assist building owners, facility managers, operators, and tenants of buildings in assessing, benchmarking, diagnosing, tracking, forecasting, and simulating energy consumption in building portfolios. © 2013 New York Academy of Sciences.

  14. Research in progress in applied mathematics, numerical analysis, and computer science

    Science.gov (United States)

    1990-01-01

    Research conducted at the Institute in Science and Engineering in applied mathematics, numerical analysis, and computer science is summarized. The Institute conducts unclassified basic research in applied mathematics in order to extend and improve problem solving capabilities in science and engineering, particularly in aeronautics and space.

  15. Instrumentation for Scientific Computing in Neural Networks, Information Science, Artificial Intelligence, and Applied Mathematics.

    Science.gov (United States)

    1987-10-01

    include Security Classification) Instrumentation for scientific computing in neural networks, information science, artificial intelligence, and...instrumentation grant to purchase equipment for support of research in neural networks, information science, artificail intellignece , and applied mathematics...in Neural Networks, Information Science, Artificial Intelligence, and Applied Mathematics Contract AFOSR 86-0282 Principal Investigator: Stephen

  16. Strategies to Recruit and Retain Students in Physical Science and Mathematics on a Diverse College Campus

    Science.gov (United States)

    Chang, Jen-Mei; Kwon, Chuhee; Stevens, Lora; Buonora, Paul

    2016-01-01

    This article presents implementation details and findings of a National Science Foundation Scholarship in Science, Technology, Engineering, and Mathematics Program (S-STEM) consisting of many high-impact practices to recruit and retain students in the physical sciences and mathematics programs, particularly first-generation and underrepresented…

  17. Enhancing Student Engagement to Positively Impact Mathematics Anxiety, Confidence and Achievement for Interdisciplinary Science Subjects

    Science.gov (United States)

    Everingham, Yvette L.; Gyuris, Emma; Connolly, Sean R.

    2017-01-01

    Contemporary science educators must equip their students with the knowledge and practical know-how to connect multiple disciplines like mathematics, computing and the natural sciences to gain a richer and deeper understanding of a scientific problem. However, many biology and earth science students are prejudiced against mathematics due to…

  18. History of Science and Technology - I.

    Science.gov (United States)

    Mauskopf, Seymour; Roland, Alex

    1987-01-01

    Describes a one-semester course designed to examine the relationship between science and technology in Western civilization during the period between the earliest organized social life and the inception of the Industrial Revolution. Includes a list of readings, schedule of topics and assignments, and student requirements. (TW)

  19. Radioactivity a history of a mysterious science

    CERN Document Server

    Malley, Marjorie C

    2011-01-01

    Beginning with an obscure discovery in 1896, radioactivity led researchers on a quest for understanding that ultimately confronted the intersection of knowledge and mystery. This book tells the story of a new science that profoundly changed physics and chemistry, as well as areas such as medicine, geology, meteorology, archaeology, industry, politics, and popular culture.

  20. History, Philosophy and Science Teaching: Some Answers to ``How?''

    Science.gov (United States)

    Pessoa de Carvalho, Anna Maria; Infantosi Vannucchi, Andréa

    The study of the history and philosophy of science in school science courses is highly recommended. This paper deals with the methodological aspects derived from research in science education and how they have to be taken into account in order to generate effective classroom activities, so that history and philosophy are not relegated to the status of additional rhetoric of conclusions in an extensive curricula. This is illustrated with the analysis of episodes ___ transcribed from videotape records ___ which took place when such activity was introduced into high school physics classes. This analysis has shown that students, when working in cooperative groups over problematic historical episodes, may come to discuss essential features of science. This not only provides a more realistic view of science, but also enhances cognitive and argumentation skills, besides emphasizing the importance of teachers' guidance.

  1. International Conference on Applied Mathematics, Modeling and Computational Science & Annual meeting of the Canadian Applied and Industrial Mathematics

    CERN Document Server

    Bélair, Jacques; Kunze, Herb; Makarov, Roman; Melnik, Roderick; Spiteri, Raymond J

    2016-01-01

    Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines. The book offers a valuable source of methods, ideas, and tools developed for a variety of disciplines, including the natural and social sciences, medicine, engineering, and technology. Original results are presented on both the fundamental and applied level, accompanied by an ample number of real-world problems and examples emphasizing the interdisciplinary nature and universality of mathematical modeling, and providing an excellent outline of today’s challenges. Mathematical modeling, with applied and computational methods and tools, plays a fundamental role in modern science a...

  2. 2015 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics

    CERN Document Server

    Landry, Elaine

    2016-01-01

    This volume contains seventeen papers that were presented at the 2015 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held in Washington, D.C. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of general topics in the history and philosophy of mathematics, this meeting also honored the memories of Jacqueline (Jackie) Stedall and Ivor Grattan-Guinness; celebrated the Centennial of the Mathematical Association of America; and considered the importance of mathematical communities in a special session. These themes and many others are explored in these collected papers, which cover subjects such as New evidence that the Latin translation of Euclid’s Elements was based on the Arabic version attributed to al-Ḥajjāj Work done on the arc rampant in the seventeenth century The history of numerical methods for finding roots of nonlinear equations An original play feat...

  3. [The new history of science: an interview with Dominique Pestre].

    Science.gov (United States)

    Pestre, Dominique; Romero, Mariza

    2016-01-01

    Originally a physicist, Dominique Pestre is now a leading historian of science, particularly in the realm of the transformations that have marked the history of science and technology in recent decades. In this interview, he offers some of his thoughts on the role of science and knowledge in our contemporary world. He underscores the deep bonds between scientific knowledge and political and economic power and makes clear society's participation in this production. Critical of the notion of progress, Pestre invites us to also take the prejudicial effects of science into account.

  4. The Integration of Mathematics in Middle School Science: Student and Teacher Impacts Related to Science Achievement and Attitudes towards Integration

    Science.gov (United States)

    McHugh, Luisa

    2016-01-01

    Contemporary research has suggested that in order for students to compete globally in the 21st century workplace, pedagogy must shift to include the integration of science and mathematics, where teachers effectively incorporate the two disciplines seamlessly. Mathematics facilitates a deeper understanding of science concepts and has been linked to…

  5. Development of Contextual Mathematics teaching Material integrated related sciences and realistic for students grade xi senior high school

    Science.gov (United States)

    Helma, H.; Mirna, M.; Edizon, E.

    2018-04-01

    Mathematics is often applied in physics, chemistry, economics, engineering, and others. Besides that, mathematics is also used in everyday life. Learning mathematics in school should be associated with other sciences and everyday life. In this way, the learning of mathematics is more realstic, interesting, and meaningful. Needs analysis shows that required contextual mathematics teaching materials integrated related sciences and realistic on learning mathematics. The purpose of research is to produce a valid and practical contextual mathematics teaching material integrated related sciences and realistic. This research is development research. The result of this research is a valid and practical contextual mathematics teaching material integrated related sciences and realistic produced

  6. Framing discourse for optimal learning in science and mathematics

    Science.gov (United States)

    Megowan, Mary Colleen

    2007-12-01

    This study explored the collaborative thinking and learning that occurred in physics and mathematics classes where teachers practiced Modeling Instruction. Four different classes were videotaped---a middle school mathematics resource class, a 9th grade physical science class, a high school honors physics class and a community college engineering physics course. Videotapes and transcripts were analyzed to discover connections between the conceptual structures and spatial representations that shaped students' conversations about space and time. Along the way, it became apparent that students' and teachers' cultural models of schooling were a significant influence, sometimes positive and sometimes negative, in students' engagement and metaphor selection. A growing number of researchers are exploring the importance of semiotics in physics and mathematics, but typically their unit of analysis is the individual student. To examine the distributed cognition that occurred in this unique learning setting, not just among students but also in connection with their tools, artifacts and representations, I extended the unit of analysis for my research to include small groups and their collaborative work with whiteboarded representations of contextual problems and laboratory exercises. My data revealed a number of interesting insights. Students who constructed spatial representations and used them to assist their reasoning, were more apt to demonstrate a coherent grasp of the elements, operations, relations and rules that govern the model under investigation than those who relied on propositional algebraic representations of the model. In classrooms where teachers permitted and encouraged students to take and hold the floor during whole-group discussions, students learned to probe one another more deeply and conceptually. Shared representations (whether spatial or propositional/algebraic), such as those that naturally occurred when students worked together in small groups to

  7. The History of Popularization of Science in France

    Directory of Open Access Journals (Sweden)

    Marina D. Romanova

    2015-01-01

    Full Text Available The article discusses the process of popularization of science in France in terms of bilateral cooperation between scientists and the media. Mediator in the relationship of the two parties is a science journalist. The long history of interaction between researchers and journalists in France can serve as a theoretical model applicable to the Russian media system. Science journalist, acting primarily as a popularizer of science, is intended to bring to the uninitiated reader scientific facts in an accessible form. In this connection, still the question remains about the specialized education of science journalists: whether he should specialize in a particular field or possess the basics of writing and be able to transpose the complex scientific language. French popular science magazines are not only popular among scientists themselves who are willing to cooperate with publishers and participate in the preparation of the editions, but also among readers. Relations between science journalists and scientists should be considered at the theoretical and practical levels. The paper analyzes in detail the first level, which includes the history of the emergence of scientific journalism in France since the first edition of the scientificjournal in Europe, as well as peculiarities of the educational system in this field. A special role in shaping ideas about the role of science journalists belongs to the Association of Science Journalists of informational press, organization, which is actively involved in the development of trust between scientists and journalists.

  8. History of Science Content Analysis of Chinese Science Textbooks from the Perspective of Acculturation

    Science.gov (United States)

    Ma, Yongjun; Wan, Yanlan

    2017-01-01

    Based on previous international studies, a content analysis scheme has been designed and used from the perspective of culture to study the history of science (HOS) in science textbooks. Nineteen sets of Chinese science textbooks have been analyzed. It has been found that there are noticeable changes in the quantity, content, layout, presentation,…

  9. Using History of Science to Teach Nature of Science to Elementary Students

    Science.gov (United States)

    Fouad, Khadija E.; Masters, Heidi; Akerson, Valarie L.

    2015-01-01

    Science lessons using inquiry only or history of science with inquiry were used for explicit reflective nature of science (NOS) instruction for second-, third-, and fourth-grade students randomly assigned to receive one of the treatments. Students in both groups improved in their understanding of creative NOS, tentative NOS, empirical NOS, and…

  10. NASA Imaging for Safety, Science, and History

    Science.gov (United States)

    Grubbs, Rodney; Lindblom, Walt; Bowerman, Deborah S. (Technical Monitor)

    2002-01-01

    Since its creation in 1958 NASA has been making and documenting history, both on Earth and in space. To complete its missions NASA has long relied on still and motion imagery to document spacecraft performance, see what can't be seen by the naked eye, and enhance the safety of astronauts and expensive equipment. Today, NASA is working to take advantage of new digital imagery technologies and techniques to make its missions more safe and efficient. An HDTV camera was on-board the International Space Station from early August, to mid-December, 2001. HDTV cameras previously flown have had degradation in the CCD during the short duration of a Space Shuttle flight. Initial performance assessment of the CCD during the first-ever long duration space flight of a HDTV camera and earlier flights is discussed. Recent Space Shuttle launches have been documented with HDTV cameras and new long lenses giving clarity never before seen with video. Examples and comparisons will be illustrated between HD, highspeed film, and analog video of these launches and other NASA tests. Other uses of HDTV where image quality is of crucial importance will also be featured.

  11. Reading The History Manifesto as a Historian of Mathematics in Ancient China.

    Science.gov (United States)

    Chemla, Karine

    2016-06-01

    The History Manifesto invites historians to consider the social and political responsibilities attached to their profession. This general concern is equally meaningful for the field of history and for the history and philosophy of science and technology. The specific concerns that motivate Jo Guldi and David Armitage lead them to advocate the "longue durée" and to insist primarily on social inequality, climate change, and governance. The concern on which this response to The History Manifesto centers is historians' social.responsibility in the waging of wars and their ethical responsibility at least not to contribute to mounting tensions. For the historian Lucien Febvre, in the immediate aftermath of World War II, a history of science and culture practiced in a certain way had a specific part to play in this regard. Febvre's practice of long-term history differed from Fernand Braudel's approach to the longue durée, in the tradition of which Guldi and Armitage situate their manifesto. This essay suggests that a historical approach to long-term history, sensitive to the concern Febvre voiced, might be helpful. It argues that long-term histories of science and technology practiced in a certain way have contributed to shaping collectives that perceive themselves as communities. Critical analysis of our practices as historians could certainly help develop awareness in our field in this respect.

  12. What the World Needs Now: More Women in Mathematics and Science.

    Science.gov (United States)

    Wallace, Joy

    1989-01-01

    "Expanding Your Horizons in Science and Mathematics" conferences in Berkeley, California, are designed to nurture girls' interest in science and math courses and encourage them to consider nontraditional career options. (TE)

  13. Mathematical and statistical methods for actuarial sciences and finance

    CERN Document Server

    Sibillo, Marilena

    2014-01-01

    The interaction between mathematicians and statisticians working in the actuarial and financial fields is producing numerous meaningful scientific results. This volume, comprising a series of four-page papers, gathers new ideas relating to mathematical and statistical methods in the actuarial sciences and finance. The book covers a variety of topics of interest from both theoretical and applied perspectives, including: actuarial models; alternative testing approaches; behavioral finance; clustering techniques; coherent and non-coherent risk measures; credit-scoring approaches; data envelopment analysis; dynamic stochastic programming; financial contagion models; financial ratios; intelligent financial trading systems; mixture normality approaches; Monte Carlo-based methodologies; multicriteria methods; nonlinear parameter estimation techniques; nonlinear threshold models; particle swarm optimization; performance measures; portfolio optimization; pricing methods for structured and non-structured derivatives; r...

  14. Ordering the discipline: classification in the history of science. Introduction.

    Science.gov (United States)

    Weldon, Stephen P

    2013-09-01

    Classification of the history of science has a long history, and the essays in this Focus section explore that history and its consequences from several different angles. Two of the papers deal with how classifying schemes in bibliography have evolved. A third looks at the way archival organization has changed over the years. Finally, the last essay explores the intersection of human and machine classifying systems. All four contributions look closely at the ramifications of the digital revolution for the way we organize the knowledge of the discipline.

  15. TDmat--Mathematics Diagnosis Evaluation Test for Engineering Sciences Students

    Science.gov (United States)

    Pinto, J. S.; Oliveira, M. P.; Anjo, A. B.; Pais, S. I. Vieira; Isidro, R. O.; Silva, M. H.

    2007-01-01

    Since 1989, the Mathematics Education Project (PmatE--Projecto Matematica Ensino) has developed several strategies to improve the success of students in Mathematics. The most important of these are mathematical games for all grades above primary school. The online evaluation of Mathematics subjects is one of PmatE's goals. The implementation of an…

  16. A history of animal welfare science.

    Science.gov (United States)

    Broom, Donald M

    2011-06-01

    Human attitudes to animals have changed as non-humans have become more widely incorporated in the category of moral agents who deserve some respect. Parallels between the functioning of humans and non-humans have been made for thousands of years but the idea that the animals that we keep can suffer has spread recently. An improved understanding of motivation, cognition and the complexity of social behaviour in animals has led in the last 30 years to the rapid development of animal welfare science. Early attempts to define welfare referred to individuals being in harmony with nature but the first usable definition incorporated feelings and health as part of attempts to cope with the environment. Others considered that welfare is only about feelings but it is argued that as feelings are mechanisms that have evolved they are a part of welfare rather than all of it. Most reviews of welfare now start with listing the needs of the animal, including needs to show certain behaviours. This approach has used sophisticated studies of what is important to animals and has replaced the earlier general guidelines described as freedoms. Many measures of welfare are now used and indicate how good or how poor the welfare is. Naturalness is not a part of the definition of welfare but explains why some needs exist. In recent years, welfare has become established as one of various criteria used to decide on whether a system is sustainable because members of the public will not accept systems that cause poor welfare. The study of welfare has become part of the scientific basis upon which important political decisions are made.

  17. Safety of nuclear reactors - Part A - unsteady state temperature history mathematical model

    International Nuclear Information System (INIS)

    El-Shayeb, M.; Yusoff, M.Z.; Boosroh, M.H.; Ideris, F.; Hasmady Abu Hassan, S.; Bondok, A.

    2004-01-01

    A nuclear reactor structure under abnormal operations of near meltdown will be exposed to a tremendous amount of heat flux in addition to the stress field applied under normal operation. Temperature encountered in such case is assumed to be beyond 1000 Celsius degrees. A 2-dimensional mathematical model based on finite difference methods, has been developed for the fire resistance calculation of a concrete-filled square steel column with respect to its temperature history. Effects due to nuclear radiation and mechanical vibrations will be explored in a later future model. The temperature rise in each element can be derived from its heat balance by applying the parabolic unsteady state, partial differential equation and numerical solution into the steel region. Calculation of the temperature of the elementary regions needs to satisfy the symmetry conditions and the relevant material properties. The developed mathematical model is capable to predict the temperature history in the column and on the surface with respect to time. (authors)

  18. 2014 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics

    CERN Document Server

    Landry, Elaine

    2015-01-01

    This volume contains thirteen papers that were presented at the 2014 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held on the campus of Brock University in St. Catharines, Ontario, Canada. It contains rigorously reviewed modern scholarship on general topics in the history and philosophy of mathematics, as well as on the meeting’s special topic, Early Scientific Computation. These papers cover subjects such as •Physical tools used by mathematicians in the seventeenth century •The first historical appearance of the game-theoretical concept of mixed-strategy equilibrium •George Washington’s mathematical cyphering books •The development of the Venn diagram •The role of Euler and other mathematicians in the development of algebraic analysis •Arthur Cayley and Alfred Kempe’s influence on Charles Peirce's diagrammatic logic •The influence publishers had on the development of mathematical...

  19. Pre-Service Secondary Science and Mathematics Teachers' Classroom Management Styles in Turkey

    Science.gov (United States)

    Yilmaz, Kursad

    2009-01-01

    The aim of this study is to determine Pre-service secondary science and mathematics teachers' classroom management styles in Turkey. In addition, differences in pre-service secondary science and mathematics teachers' classroom management styles by gender, and field of study were examined. In the study, the survey model was employed. The research…

  20. Persisting mathematics and science high school teachers: A Q-methodology study

    Science.gov (United States)

    Robbins-Lavicka, Michelle M.

    There is a lack of qualified mathematics and science teachers at all levels of education in Arkansas. Lasting teaching initiative programs are needed to address retention so qualified teachers remain in the classroom. The dearth of studies regarding why mathematics and science teachers persist in the classroom beyond the traditional 5-year attrition period led this Q-methodological study to evaluate the subjective perceptions of persistent mathematics and science teachers to determine what makes them stay. This study sought to understand what factors persisting mathematics and science teachers used to explain their persistence in the classroom beyond 5 years and what educational factors contributed to persisting mathematics and science teachers. Q-methodology combines qualitative and quantitative techniques and provided a systematic means to investigate personal beliefs by collecting a concourse, developing a Q-sample and a person-sample, conducting a Q-sorting process, and analyzing the data. The results indicated that to encourage longevity within mathematics and science classrooms (a) teachers should remain cognizant of their ability to influence student attitudes toward teaching; (b) administrators should provide support for teachers and emphasize the role and importance of professional development; and (c) policy makers should focus their efforts and resources on developing recruitment plans, including mentorship programs, while providing and improving financial compensation. Significantly, the findings indicate that providing mentorship and role models at every level of mathematics and science education will likely encourage qualified teachers to remain in the mathematics and science classrooms, thus increasing the chance of positive social change.

  1. Using the Tower of Hanoi Puzzle to Infuse Your Mathematics Classroom with Computer Science Concepts

    Science.gov (United States)

    Marzocchi, Alison S.

    2016-01-01

    This article suggests that logic puzzles, such as the well-known Tower of Hanoi puzzle, can be used to introduce computer science concepts to mathematics students of all ages. Mathematics teachers introduce their students to computer science concepts that are enacted spontaneously and subconsciously throughout the solution to the Tower of Hanoi…

  2. Correlation Educational Model in Primary Education Curriculum of Mathematics and Computer Science

    Science.gov (United States)

    Macinko Kovac, Maja; Eret, Lidija

    2012-01-01

    This article gives insight into methodical correlation model of teaching mathematics and computer science. The model shows the way in which the related areas of computer science and mathematics can be supplemented, if it transforms the way of teaching and creates a "joint" lessons. Various didactic materials are designed, in which all…

  3. Does Gender Inequality Influence Interest in Pursuing a Career in Science or Mathematics Teaching?

    Science.gov (United States)

    Morales, Marie Paz E.; Avilla, Ruel A.; Espinosa, Allen A.

    2016-01-01

    The present study explored gender inequality in K to 12 basic education, based on the experiences of first year pre-service science and mathematics teachers. It also determined if pre-service teachers' pursuit of a career in science or mathematics teaching was related to gender influences. A survey instrument was used to gather data for the study.…

  4. Teachers Perspective of Using English as a Medium of Instruction in Mathematics and Science Subjects

    Science.gov (United States)

    Mansor, Norudin; Badarudin, Mohamed Ishak; Mat, Azman Che

    2011-01-01

    The policy of changing the medium of instruction in the teaching of mathematics and science from Bahasa Melayu to English is an important innovation affecting teachers of mathematics and science. It poses special challenges not only for teachers who have been trained in the Malay medium but also for those trained in English. This investigation…

  5. Gender Gaps in Mathematics, Science and Reading Achievements in Muslim Countries: A Quantile Regression Approach

    Science.gov (United States)

    Shafiq, M. Najeeb

    2013-01-01

    Using quantile regression analyses, this study examines gender gaps in mathematics, science, and reading in Azerbaijan, Indonesia, Jordan, the Kyrgyz Republic, Qatar, Tunisia, and Turkey among 15-year-old students. The analyses show that girls in Azerbaijan achieve as well as boys in mathematics and science and overachieve in reading. In Jordan,…

  6. A Complex Formula: Girls and Women in Science, Technology, Engineering and Mathematics in Asia

    Science.gov (United States)

    Salmon, Aliénor

    2015-01-01

    What factors might be causing the low participation of women Science, Technology, Engineering and Mathematics (STEM) fields? What can be done to attract more girls and women into STEM in Asia and beyond? The report, "A Complex Formula. Girls and Women in Science, Technology, Engineering and Mathematics in Asia", answers three fundamental…

  7. Professional Development Strategically Connecting Mathematics and Science: The Impact on Teachers' Confidence and Practice

    Science.gov (United States)

    Baxter, Juliet A.; Ruzicka, Angie; Beghetto, Ronald A.; Livelybrooks, Dean

    2014-01-01

    The press to integrate mathematics and science comes from researchers, business leaders, and educators, yet research that examines ways to support teachers in relating these disciplines is scant. Using research on science and mathematics professional development, we designed a professional development project to help elementary teachers improve…

  8. Opinions of Secondary School Science and Mathematics Teachers on STEM Education

    Science.gov (United States)

    Yildirim, Bekir; Türk, Cumhur

    2018-01-01

    In this study, the opinions of middle school science teachers and mathematics teachers towards STEM education were examined. The research was carried out for 30 hours with 28 middle school science and mathematics teachers who were working in Istanbul during the spring semester of 2016-2017 academic year. 75% of these teachers are female teachers…

  9. An investigation of mathematics and science instruction in English and Spanish for English language learners

    Science.gov (United States)

    Rodriguez-Esquivel, Marina

    The contextual demands of language in content area are difficult for ELLS. Content in the native language furthers students' academic development and native language skills, while they are learning English. Content in English integrates pedagogical strategies for English acquisition with subject area instruction. The following models of curriculum content are provided in most Miami Dade County Public Schools: (a) mathematics instruction in the native language with science instruction in English or (b) science instruction in the native language with mathematics instruction in English. The purpose of this study was to investigate which model of instruction is more contextually supportive for mathematics and science achievement. A pretest and posttest, nonequivalent group design was used with 94 fifth grade ELLs who received instruction in curriculum model (a) or (b). This allowed for statistical analysis that detected a difference in the means of .5 standard deviations with a power of .80 at the .05 level of significance. Pretreatment and post-treatment assessments of mathematics, reading, and science achievement were obtained through the administration of Aprenda-Segunda Edicion and the Florida Comprehensive Achievement Test. The results indicated that students receiving mathematics in English and Science in Spanish scored higher on achievement tests in both Mathematics and Science than the students who received Mathematics in Spanish and Science in English. In addition, the mean score of students on the FCAT mathematics examination was higher than their mean score on the FCAT science examination regardless of the language of instruction.

  10. A Special Assignment from NASA: Understanding Earth's Atmosphere through the Integration of Science and Mathematics

    Science.gov (United States)

    Fox, Justine E.; Glen, Nicole J.

    2012-01-01

    Have your students ever wondered what NASA scientists do? Have they asked you what their science and mathematics lessons have to do with the real world? This unit about Earth's atmosphere can help to answer both of those questions. The unit described here showcases "content specific integration" of science and mathematics in that the lessons meet…

  11. Science and Mathematics Teachers' Experiences, Needs, and Expectations regarding Professional Development

    Science.gov (United States)

    Chval, Kathryn; Abell, Sandra; Pareja, Enrique; Musikul, Kusalin; Ritzka, Gerard

    2008-01-01

    High quality teachers are essential to improving the teaching and learning of mathematics and science, necessitating effective professional development (PD) and learning environments for teachers. However, many PD programs for science and mathematics teachers fall short because they fail to consider teacher background, experience, knowledge,…

  12. Perceptions of Support, Induction, and Intentions by Secondary Science and Mathematics Teachers on Job Retention

    Science.gov (United States)

    Bond, Sharon C.

    2012-01-01

    This study was designed to examine the teacher characteristics, workplace factors, and type of induction supports that contribute to the retention of secondary science and mathematics teachers. Using the sample of secondary science and mathematics teachers extracted from the National Center for Educational Statistics (NCES) 2007-2008 Schools and…

  13. Using the Mixture Rasch Model to Explore Knowledge Resources Students Invoke in Mathematic and Science Assessments

    Science.gov (United States)

    Zhang, Danhui; Orrill, Chandra; Campbell, Todd

    2015-01-01

    The purpose of this study was to investigate whether mixture Rasch models followed by qualitative item-by-item analysis of selected Programme for International Student Assessment (PISA) mathematics and science items offered insight into knowledge students invoke in mathematics and science separately and combined. The researchers administered an…

  14. Survey of Mathematics and Science Requirements for Production-Oriented Agronomy Majors.

    Science.gov (United States)

    Aide, Michael; Terry, Danny

    1996-01-01

    Analyzes course requirements to determine the amount of required mathematics and science for production-oriented agronomy majors. Reports that mathematics requirements center around college algebra and statistics; science requirements generally include chemistry, biology, plant physiology, and genetics; and land-grant institutions have a…

  15. Noted astrophysicist Michael S. Turner to Head NSF'S mathematical and physical sciences directorate

    CERN Multimedia

    2003-01-01

    "The National Science Foundation has named celebrated astrophysicist Michael S. Turner of the University of Chicago as Assistant Director for Mathematical and Physical Sciences. He will head a $1 billion directorate that supports research in mathematics, physics, chemistry, materials and astronomy, as well as multidisciplinary programs and education" (1/2 page).

  16. Brain Science and Teaching: A Forty-Year Personal History

    Science.gov (United States)

    Kirby, Linda Faye

    2016-01-01

    This paper is the sharing of a record, the personal history of an educator pursuing an interest in knowledge of the brain. Over the years, this fascination sparked the idea to create a course for teachers based on brain science, with a twist. Certain course assignments would require teachers to interpret knowledge of the brain in the context of…

  17. Exploring the Intersections of Science and History Learning

    Science.gov (United States)

    Hughes, Catherine; Cosbey, Allison

    2016-01-01

    How can history museums incorporate Science, Technology, Engineering and Math (STEM) activities while preserving their missions and identities? How do interdisciplinary experiences lead to learning? A cross-institutional exhibit development and evaluation team wrestled with these ideas as they developed "Create.Connect," an National…

  18. Heuristic Diagrams as a Tool to Teach History of Science

    Science.gov (United States)

    Chamizo, Jose A.

    2012-01-01

    The graphic organizer called here heuristic diagram as an improvement of Gowin's Vee heuristic is proposed as a tool to teach history of science. Heuristic diagrams have the purpose of helping students (or teachers, or researchers) to understand their own research considering that asks and problem-solving are central to scientific activity. The…

  19. Introducing the History of Science at the French Middle School

    Science.gov (United States)

    Fauque, Danielle M. E.

    2009-01-01

    In scientific teaching, especially in physics and chemistry, some historical aspects have been introduced at the secondary level in France, since 1993. Particularly, in 2007, the syllabuses of 11'-15' years old level ("college") propose precise activities in history of science and technology. Detailed guidance has been distributed in…

  20. An Overview of the History of Library Science Teaching Materials.

    Science.gov (United States)

    Metzger, Philip A.

    1986-01-01

    This introduction to, and overview of, history of library science instructional materials covers the Williamson Report, teaching materials from early Columbia days onward, American Library Association book publishing activity, media in curricula and library school publication of syllabi, commercial publishing of textbooks, and periodicals in…

  1. Enhancing interdisciplinary, mathematics, and physical science in an undergraduate life science program through physical chemistry.

    Science.gov (United States)

    Pursell, David P

    2009-01-01

    BIO2010 advocates enhancing the interdisciplinary, mathematics, and physical science components of the undergraduate biology curriculum. The Department of Chemistry and Life Science at West Point responded by developing a required physical chemistry course tailored to the interests of life science majors. To overcome student resistance to physical chemistry, students were enabled as long-term stakeholders who would shape the syllabus by selecting life science topics of interest to them. The initial 2 yr of assessment indicates that students have a positive view of the course, feel they have succeeded in achieving course outcome goals, and that the course is relevant to their professional future. Instructor assessment of student outcome goal achievement via performance on exams and labs is comparable to that of students in traditional physical chemistry courses. Perhaps more noteworthy, both student and instructor assessment indicate positive trends from year 1 to year 2, presumably due to the student stakeholder effect.

  2. Archimedes in the 21st Century : World Conference at the Courant Institute of Mathematical Sciences

    CERN Document Server

    2017-01-01

    This book is a collection of papers presented at the “Archimedes in the 21st Century” world conference, held at the Courant Institute of Mathematical Sciences in 2013. This conference focused on the enduring and continuing influence of Archimedes in our modern world, celebrating his centuries of influence on mathematics, science, and engineering.  Archimedes planted the seeds for a myriad of seminal ideas that would grow over the ages. Each chapter surveys the growth of one or more of these seeds, and the fruit that they continue to bear to this day. The conference speakers contributing to this book are actively involved in STEM fields whose origins trace back to Archimedes, many of whom have conducted and published research that extends Archimedes’ work into the 21st century. The speakers are not historians, so while historical context is provided, this book is uniquely focused on the works themselves as opposed to their history.   The breadth and depth of Archimedes’ influence will inspire, deligh...

  3. [THE ORIGINS AND ACCOMPLISHMENTS OF ZESPÓŁ HISTORII MATEMATYKI (THE TEAM OF THE HISTORY OF MATHEMATICS)].

    Science.gov (United States)

    Wójcik, Wiesław

    2014-01-01

    In this presentation of the activities of Zespół Historii Matematyki (the Team of the History of Mathematics), an undertaking is made to synthesise the most important projects and events that have taken place during the eight years since its founding in 2007. The main directions of the research of the Team are outlined, which include: the exploration of the development of Polish mathematics in the late 19TH and early 20th century in relation to the major discoveries of the European mathematics of that period; the presentation of the most important achievements in the history of the study of the foundations of mathematics; the history of the Riemann zeta function and the history of the emergence of computer methods in mathematics and the study on the relationship between physics and mathematics in the historical perspective. This presentation also introduces important research projects, which emerged during the discussions at the meetings of the Team--it is particularly important to offer an analysis of the speeches of the Polish scholars at the first international congresses of mathematicians and to underline the importance of the new ideas presented there for the development of the mathematical environment in Poland. Additionally, four papers on the history of mathematics, presented in this Kwartalnik, representative for the researches conducted by the Team, are also briefly discussed here.

  4. Sketching together the modern histories of science, technology, and medicine.

    Science.gov (United States)

    Pickstone, John V

    2011-03-01

    This essay explores ways to "write together" the awkwardly jointed histories of "science" and "me dicine"--but it also includes other "arts" (in the old sense) and technologies. It draws especially on the historiography of medicine, but I try to use terms that are applicable across all of science, technology, and medicine (STM). I stress the variety of knowledges and practices in play at any time and the ways in which the ensembles change. I focus on the various relations of "science" and "medicine," as they were understood for a succession of periods--from mainly agricultural societies, through industrial societies, to our biomedical present--trying to sketch a history that encompasses daily practices and understandings as well as major conceptual and technical innovations. The model is meant to facilitate inquiry across topics and across times, including those to come.

  5. Heuristic Diagrams as a Tool to Teach History of Science

    Science.gov (United States)

    Chamizo, José A.

    2012-05-01

    The graphic organizer called here heuristic diagram as an improvement of Gowin's Vee heuristic is proposed as a tool to teach history of science. Heuristic diagrams have the purpose of helping students (or teachers, or researchers) to understand their own research considering that asks and problem-solving are central to scientific activity. The left side originally related in Gowin's Vee with philosophies, theories, models, laws or regularities now agrees with Toulmin's concepts (language, models as representation techniques and application procedures). Mexican science teachers without experience in science education research used the heuristic diagram to learn about the history of chemistry considering also in the left side two different historical times: past and present. Through a semantic differential scale teachers' attitude to the heuristic diagram was evaluated and its usefulness was demonstrated.

  6. Viewpoint: The History Manifesto and the History of Science. Editor's Introduction.

    Science.gov (United States)

    Cohen, H Floris

    2016-06-01

    This "Viewpoint" section takes up the question of what, if anything, historians of science can learn from The History Manifesto, initially published in the fall of 2014. One summary, two essay reviews, and nine short comments are followed by remarks by the authors of the manifesto, Jo Guldi and David Armitage.

  7. The changing role of continuity and discontinuity in the history of philosophy and mathematics

    Directory of Open Access Journals (Sweden)

    Danie F.M. Strauss

    2017-01-01

    Full Text Available The aim of this article is to highlight the inevitability of employing discreteness and continuity as primitive (indefinable modes of explanation in the history of philosophy and mathematics. It embodies the general challenge to account for the coherence of what is unique. Gödel emphasises the coherence of ‘primitive concepts’. Greek philosophy already discovered the spatial whole and/or parts relation with its infinite divisibility. During and after the medieval era philosophers toggled between an atomistic appreciation of the continuum and its opposite, for example found in the thought of Leibniz who postulated his law of continuity (lex continui. The discovery of incommensurability (irrational numbers by the Greeks caused the first foundational crisis of mathematics, as well as its geometrisation. Leibniz and Newton did not resolve the problems surrounding the limit concept and soon it induced the third foundational crisis of mathematics. It caused Frege and the ‘continuum theoreticians’ to assign priority to the continuum – discreteness is a catastrophe. Recently Smooth Infinitesimal Analysis appreciated what is ‘continuous’ as constituting ‘an unbroken or uninterrupted whole’. Intuitionistic mathematics once more proceeded from an emphasis on the whole and/or parts relation. In spite of alternating attempts to understand continuity exclusively, either in arithmetical or in spatial terms, the history of philosophy and mathematics undeniably confirms that the co-conditioning role of these two modes of explanation remains a constant element in reflections on continuity and discontinuity. (The role of continuity and discontinuity within the disciplines of physics and biology will be discussed in a separate article.

  8. National Center for Mathematics and Science - who we are

    Science.gov (United States)

    Massachusetts-Dartmouth Expertise Areas Classroom discourse Sociocultural theory in mathematics teacher education The learnability of new ideas, such as complexity, chaos and nonlinear systems Center Research students' mathematical understanding Program evaluation Curriculum theory and reform Center Research

  9. Learning transfer of geospatial technologies in secondary science and mathematics core areas

    Science.gov (United States)

    Nielsen, Curtis P.

    The purpose of this study was to investigate the transfer of geospatial technology knowledge and skill presented in a social sciences course context to other core areas of the curriculum. Specifically, this study explored the transfer of geospatial technology knowledge and skill to the STEM-related core areas of science and mathematics among ninth-grade students. Haskell's (2001) research on "levels of transfer" provided the theoretical framework for this study, which sought to demonstrate the experimental group's higher ability to transfer geospatial skills, higher mean assignment scores, higher post-test scores, higher geospatial skill application and deeper levels of transfer application than the control group. The participants of the study consisted of thirty ninth-graders enrolled in U.S. History, Earth Science and Integrated Mathematics 1 courses. The primary investigator of this study had no previous classroom experiences with this group of students. The participants who were enrolled in the school's existing two-section class configuration were assigned to experimental and control groups. The experimental group had ready access to Macintosh MacBook laptop computers, and the control group had ready access to Macintosh iPads. All participants in U.S. History received instruction with and were required to use ArcGIS Explorer Online during a Westward Expansion project. All participants were given the ArcGIS Explorer Online content assessment following the completion of the U.S. History project. Once the project in U.S. History was completed, Earth Science and Integrated Mathematics 1 began units of instruction beginning with a multiple-choice content pre-test created by the classroom teachers. Experimental participants received the same unit of instruction without the use or influence of ArcGIS Explorer Online. At the end of the Earth Science and Integrated Math 1 units, the same multiple-choice test was administered as the content post-test. Following the

  10. Counterfactuals and history: Contingency and convergence in histories of science and life.

    Science.gov (United States)

    Hesketh, Ian

    2016-08-01

    This article examines a series of recent histories of science that have attempted to consider how science may have developed in slightly altered historical realities. These works have, moreover, been influenced by debates in evolutionary science about the opposing forces of contingency and convergence in regard to Stephen Jay Gould's notion of "replaying life's tape." The article argues that while the historians under analysis seem to embrace contingency in order to present their counterfactual narratives, for the sake of historical plausibility they are forced to accept a fairly weak role for contingency in shaping the development of science. It is therefore argued that Simon Conway Morris's theory of evolutionary convergence comes closer to describing the restrained counterfactual worlds imagined by these historians of science than does contingency. Copyright © 2015 Elsevier Ltd. All rights reserved.

  11. The Generalized Principle of the Golden Section and its applications in mathematics, science, and engineering

    Energy Technology Data Exchange (ETDEWEB)

    Stakhov, A.P. [International Club of the Golden Section, 6 McCreary Trail, Bolton, ON, L7E 2C8 (Canada)] e-mail: goldenmuseum@rogers.com

    2005-10-01

    The 'Dichotomy Principle' and the classical 'Golden Section Principle' are two of the most important principles of Nature, Science and also Art. The Generalized Principle of the Golden Section that follows from studying the diagonal sums of the Pascal triangle is a sweeping generalization of these important principles. This underlies the foundation of 'Harmony Mathematics', a new proposed mathematical direction. Harmony Mathematics includes a number of new mathematical theories: an algorithmic measurement theory, a new number theory, a new theory of hyperbolic functions based on Fibonacci and Lucas numbers, and a theory of the Fibonacci and 'Golden' matrices. These mathematical theories are the source of many new ideas in mathematics, philosophy, botanic and biology, electrical and computer science and engineering, communication systems, mathematical education as well as theoretical physics and physics of high energy particles.

  12. The Generalized Principle of the Golden Section and its applications in mathematics, science, and engineering

    International Nuclear Information System (INIS)

    Stakhov, A.P.

    2005-01-01

    The 'Dichotomy Principle' and the classical 'Golden Section Principle' are two of the most important principles of Nature, Science and also Art. The Generalized Principle of the Golden Section that follows from studying the diagonal sums of the Pascal triangle is a sweeping generalization of these important principles. This underlies the foundation of 'Harmony Mathematics', a new proposed mathematical direction. Harmony Mathematics includes a number of new mathematical theories: an algorithmic measurement theory, a new number theory, a new theory of hyperbolic functions based on Fibonacci and Lucas numbers, and a theory of the Fibonacci and 'Golden' matrices. These mathematical theories are the source of many new ideas in mathematics, philosophy, botanic and biology, electrical and computer science and engineering, communication systems, mathematical education as well as theoretical physics and physics of high energy particles

  13. HISTORY OF THE ENGINEERING PHYSICS AND MATHEMATICS DIVISION 1955-1993

    Energy Technology Data Exchange (ETDEWEB)

    Maskewitz, B.F.

    2001-09-14

    A review of division progress reports noting significant events and findings of the Applied Nuclear Physics, Neutron Physics, Engineering Physics, and then Engineering Physics and Mathematics divisions from 1955 to 1993 was prepared for use in developing a history of the Oak Ridge National Laboratory in celebration of its 50th year. The research resulted in an accumulation of historic material and photographs covering 38 years of effort, and the decision was made to publish a brief history of the division. The history begins with a detailed account of the founding of the Applied Nuclear Physics Division in 1955 and continues through the name change to the Neutron Physics Division in the late 1950s. The material thereafter is presented in decades--the sixties, seventies, and eighties--and ends as we enter the nineties.

  14. Choice--Chance--Control. That's Life. Learning about Insurance through Secondary School Courses. Insurance Basics for Everyone; Social Sciences; Mathematics; Consumer Economics.

    Science.gov (United States)

    Insurance Education Foundation, Indianapolis, IN.

    This guide, which is designed for use with secondary school students, contains four units of activities that teach the fundamentals of insurance within the context of a broad range of subjects, including social sciences, history, civics, government, mathematics, consumer economics, business, economics, life skills, family management, home…

  15. A Network for Integrated Science and Mathematics Teaching and Learning Conference Plenary Papers. NSF/SSMA Wingspread Conference (Racine, Wisconsin, April 1991). School Science and Mathematics Association Topics for Teachers Series Number 7.

    Science.gov (United States)

    Berlin, Donna F., Ed.

    The integration of mathematics and science is not a new concept. However, during recent years it has been a major focus in education reform. A Wingspread conference promoted discussion regarding the integration of mathematics and science and explored ways to improve science and mathematics education in grades K-12. Papers from the conference…

  16. A Discipline-Specific Approach to the History of U.S. Science Education

    Science.gov (United States)

    Otero, Valerie K.; Meltzer, David E.

    2017-01-01

    Although much has been said and written about the value of using the history of science in teaching science, relatively little is available to guide educators in the various science disciplines through the educational history of their own discipline. Through a discipline-specific approach to a course on the history of science education in the…

  17. From established science to class room science, or how to take into account didactic activity in the history of science

    Directory of Open Access Journals (Sweden)

    Bruno Belhoste

    2012-02-01

    Full Text Available This paper deals with the relationship between science and education in historiography, questioning the separation between the two activities, and highlighting the role of education to scientific activity. First, it distinguishes the largely accepted needs of historical contextualization from the epistemological problem, related to the place of history education in the history of science. It defends that the history of science education is not foreign to the history of science. It criticizes Chevallard’s notion of didactic transposition for reinforcing the gap between scientific knowledge and teaching knowledge. Finally, it argues that the sciences are in permanent reconstruction and that scientific knowledge is not tied to socio-cultural contexts from which it emerged.

  18. Cosmic Times: Astronomy History and Science for the Classroom

    Science.gov (United States)

    Lochner, James C.; Mattson, B.

    2008-05-01

    Cosmic Times is a series of curriculum support materials and classroom activities for upper middle school and high school students which teach the nature of science by exploring the history of our understanding of the universe during the past 100 years. Starting with the confirmation of Einstein's theory of gravity in 1919 to the current conundrum posed by the discovery of dark energy, Cosmic Times examines the discoveries, the theories, and the people involved in this changing [understanding] of the universe. Cosmic Times takes the form of 6 posters, each resembling the front page of a newspaper from a particular time in this history with articles describing the discoveries. Each poster is accompanied by 4-5 classroom lessons which enable students to examine the science concepts behind the discoveries, develop techniques to improve science literacy, and investigate the nature of science using historical examples. Cosmic Times directly connects with the IYA theme of Astronomy in the Classroom, as well as the general theme of the impact of astronomy history. Cosmic Times has been developed with a freelance writer to write the articles for the posters, a group of teachers to develop the lessons, and evaluator to provide testing of the materials with a group of rural teachers in underserved communities. This poster presentation previews the Cosmic Times materials, which are posted on http://cosmictimes.gsfc.nasa.gov/ as they become available. Cosmic Times is funded in part via a NASA IDEAS grant.

  19. Science Curiosity as a Correlate of Academic Performance in Mathematics Education: Insights from Nigerian Higher Education

    OpenAIRE

    Abakpa , Benjamin ,; Abah , Joshua ,; Okoh Agbo-Egwu , Abel

    2018-01-01

    International audience; This study investigated the relationship between the science curiosity levels of undergraduate of mathematics education in a Nigerian higher educational institution and their academic grade point averages. The study employed a correlational survey research design on a random sample of 104 mathematics education students. The Science Curiosity Scale – Comparative Self Report was adapted to measure the students' distinctive appetite for consuming science-related media for...

  20. Air Force-Wide Needs for Science, Technology, Engineering, and Mathematics (STEM) Academic Degrees

    Science.gov (United States)

    2014-01-01

    anthropology (0190), mathematical statistics (1529), general math (AFIT faculty only), metallurgy (1321), and actuarial science (1510). 97 Tier II. Few...linking or frEE DownloAD At www.rand.org C O R P O R A T I O N Research Report Air Force–Wide Needs for Science , Technology, Engineering, and...00-00-2014 4. TITLE AND SUBTITLE Air Force-Wide Needs for Science , Technology, Engineering, and Mathematics (STEM) Academic Degrees 5a. CONTRACT