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Sample records for mathematical society providence

  1. Mathematics education and the information society

    NARCIS (Netherlands)

    Gravemeijer, K.P.E.; Damlamian, A.; Rodigues, J.F.; Sträßer, R.

    2013-01-01

    Starting point for this chapter is that societal changes ask for adaptations of a foundational mathematics curriculum for all. This chapter especially looks at the effects of information technology and globalization on the job market and employability with an eye on its consequences for the goals of

  2. 21st Annual Conference of Ramanujan Mathematical Society

    Indian Academy of Sciences (India)

    Paper Presentation: Those who want to present papers should send an abstract of the paper along with a hard copy of the paper so as to reach the Local Secretary, 21st Annual. Conference of Ramanujan Mathematical Society, Department of Mathematics and Statis- tics, University of Hyderabad, Hyderabad 500046 on or ...

  3. About the Code of Practice of the European Mathematical Society

    DEFF Research Database (Denmark)

    Jensen, Arne

    2013-01-01

    The Executive Committee of the European Mathematical Society created an Ethics Committee in the Spring of 2010. The first task of the Committee was to prepare a Code of Practice. This task was completed in the Spring of 2012 and went into effect on 1 November 2012. Arne Jensen, author...... of this article, is Chair of the EMS Ethics Committee...

  4. 21st Annual Conference of Ramanujan Mathematical Society

    Indian Academy of Sciences (India)

    Home; Journals; Resonance – Journal of Science Education; Volume 11; Issue 4. 21st Annual Conference of Ramanujan Mathematical Society. Information and Announcements Volume 11 Issue 4 April 2006 pp 108-108. Fulltext. Click here to view fulltext PDF. Permanent link:

  5. Population Growth Rates: Connecting Mathematics to Studies of Society and the Environment

    Science.gov (United States)

    Ninbet, Steven; Hurley, Gabrielle; Weldon, Elizabeth

    2006-01-01

    This article reports on the teaching of a unit of lessons which integrates mathematics with studies of society and the environment. The unit entitled "Population Growth Rates" was taught to a double class of Year 6 students by a team of three teachers. The objectives of the unit were: (1) to provide students with a real-world context in…

  6. Public service providers and users in the information society

    Directory of Open Access Journals (Sweden)

    Bernt Krohn Solvang

    2015-03-01

    Full Text Available The issue to be discussed in this article is to what extent does ICT create new challenges for the relationship between public service providers and users? It is important to recognize the concept of social capital because the concept is vital to the understanding of access to the information society and efficient functioning of government in its service to citizens. In this way we see social capital as a mediating “institution” between public authorities and the citizens (users.

  7. Catastrophes in nature and society mathematical modeling of complex systems

    CERN Document Server

    Khlebopros, Rem G; Fet, Abram I

    2007-01-01

    Many people are concerned about crises leading to disasters in nature, in social and economic life. The book offers a popular account of the causative mechanisms of critical states and breakdown in a broad range of natural and cultural systems - which obey the same laws - and thus makes the reader aware of the origin of catastrophic events and the ways to avoid and mitigate their negative consequences. The authors apply a single mathematical approach to investigate the revolt of cancer cells that destroy living organisms and population outbreaks that upset natural ecosystems, the balance between biosphere and global climate interfered lately by industry, the driving mechanisms of market and related economic and social phenomena, as well as the electoral system the proper use of which is an arduous accomplishment of democracy.

  8. String figures as mathematics? an anthropological approach to string figure-making in oral tradition societies

    CERN Document Server

    Vandendriessche, Eric

    2015-01-01

    This book addresses the mathematical rationality contained in the making of string figures. It does so by using interdisciplinary methods borrowed from anthropology, mathematics, history and philosophy of mathematics. The practice of string figure-making has long been carried out in many societies, and particularly in those of oral tradition. It consists in applying a succession of operations to a string (knotted into a loop), mostly using the fingers and sometimes the feet, the wrists or the mouth. This succession of operations is intended to generate a final figure. The book explores differ

  9. A simple mathematical model of society collapse applied to Easter Island

    Science.gov (United States)

    Bologna, M.; Flores, J. C.

    2008-02-01

    In this paper we consider a mathematical model for the evolution and collapse of the Easter Island society. Based on historical reports, the available primary resources consisted almost exclusively in the trees, then we describe the inhabitants and the resources as an isolated dynamical system. A mathematical, and numerical, analysis about the Easter Island community collapse is performed. In particular, we analyze the critical values of the fundamental parameters and a demographic curve is presented. The technological parameter, quantifying the exploitation of the resources, is calculated and applied to the case of another extinguished civilization (Copán Maya) confirming the consistency of the adopted model.

  10. 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...

  11. 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...

  12. 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...

  13. Narrative plots of teaching mathematics to improve the breed in Colombian society

    Directory of Open Access Journals (Sweden)

    Néstor Fernando Guerrero Recalde

    2016-06-01

    Full Text Available This article seeks to show the reasons which have led to consider the school as a privileged institution for the civilizing process. In particular understand the reasons which have led to argue that mathematical knowledge are key to the formation of the civilized individual parts. To account for this thesis was chosen in the history of Colombia the period 1873-1960, which have called period of "eugenic math" or "period of improving the race." In this period we are oriented to eliminate those features of our society seen as savage and barbaric speech. Also, this speech was accompanied with the idea of building a new republic from scientific educational devices. The most prominent figure in this period were the german physical and mathematical Julius Sieber.

  14. Overview of the ANS [American Nuclear Society] mathematics and computation software standards

    International Nuclear Information System (INIS)

    Smetana, A.O.

    1991-01-01

    The Mathematics and Computations Division of the American Nuclear Society sponsors the ANS-10 Standards Subcommittee. This subcommittee, which is part of the ANS Standards Committee, currently maintains four ANSI/ANS software standards. These standards are: Recommended Programming Practices to Facilitate the Portability of Scientific Computer Programs, ANS-10.2; Guidelines for the Documentation of Computer Software, ANS-10.3; Guidelines for the Verification and Validation of Scientific and Engineering Computer Programs for the Nuclear Industry, ANS-10.4; and Guidelines for Accommodating User Needs in Computer Program Development, ANS-10.5. 5 refs

  15. PREFACE: X Workshop of the Gravitation and Mathematical Physics Division, Mexican Physical Society

    Science.gov (United States)

    2014-11-01

    The collection of papers in this volume was presented during the X Workshop of the Gravitation and Mathematical Physics Division of the Mexican Physical Society (DGFM-SMF), which was held in Pachuca, Hidalgo, México, December 2-6, 2013. The Workshop is a bi-annual series of conferences sponsored by the DGFM-SMF that started in 1993 with the purposes of discussing and exchanging the research and experience of the gravitational and mathematical physics communities in Mexico. Each Mexican Workshop has been devoted to subjects of broad interest, so that students, in particular, can have access to specialized courses and talks that allow them to raise up their qualifications as professional researchers. Recurrent topics in the Mexican Workshop are supergravity, branes, black holes, the early Universe, observational cosmology, quantum gravity and cosmology and numerical relativity. Following our previous Workshops, distinguished researchers in the field, working in Mexico, were invited to give courses, whereas young researchers were invited for plenary lectures. More specialized talks were also presented in parallel sessions, with ample participation of researchers, and graduate and undergraduate students; most of the presentations have been included in these proceedings. The contributions in this volume have been peer-reviewed, and they represent most of the courses, plenary talks and contributed talks presented during our Workshop. We are indebted to the contributors of these proceedings, as well as to the other participants and organizers, all for making the event a complete success. We acknowledge the professionalism of our reviewers, who helped us to keep high quality standards in all manuscripts. Acknowledgments The organizing committee would like to acknowledge the financial support of the Mexican National Science and Technology Council (CONACyT), the Mexican Physical Society (SMF), as well as several Institutions including: Centro de Investigación y Estudios

  16. International Conference Organized on the Occasion of the Silver Jubilee of the Indian Society of Industrial and Applied Mathematics (ISIAM)

    CERN Document Server

    Lozi, René; Siddiqi, Abul

    2017-01-01

    The book discusses essential topics in industrial and applied mathematics such as image processing with a special focus on medical imaging, biometrics and tomography. Applications of mathematical concepts to areas like national security, homeland security and law enforcement, enterprise and e-government services, personal information and business transactions, and brain-like computers are also highlighted. These contributions – all prepared by respected academicians, scientists and researchers from across the globe – are based on papers presented at the international conference organized on the occasion of the Silver Jubilee of the Indian Society of Industrial and Applied Mathematics (ISIAM) held from 29 to 31 January 2016 at Sharda University, Greater Noida, India. The book will help young scientists and engineers grasp systematic developments in those areas of mathematics that are essential to properly understand challenging contemporary problems.

  17. Technology solutions to support supervisory activities and also to provide information access to the society

    Science.gov (United States)

    Paladini, D.; Mello, A. B.

    2016-07-01

    Inmetro's data about the conformity of certificated products, process and services are, usually, displayed at fragmented databases of difficult access for several reasons, for instance, the lack of computational solutions which allow this kind of access to its users. A discussion about some of the technological solutions to support supervisory activities by the appropriate regulatory bodies and also to provide information access to society in general is herein presented, along with a theoretical explanation of the pros and cons of such technologies to the conclusion that a mobile platform seems to be the best tool for the requirements of Inmetro.

  18. Scientific support, soil information and education provided by the Austrian Soil Science Society

    Science.gov (United States)

    Huber, Sigbert; Baumgarten, Andreas; Birli, Barbara; Englisch, Michael; Tulipan, Monika; Zechmeister-Boltenstern, Sophie

    2015-04-01

    The Austrian Soil Science Society (ASSS), founded in 1954, is a non-profit organisation aiming at furthering all branches of soil science in Austria. The ASSS provides information on the current state of soil research in Austria and abroad. It organizes annual conferences for scientists from soil and related sciences to exchange their recent studies and offers a journal for scientific publications. Annually, ASSS awards the Kubiena Research Prize for excellent scientific studies provided by young scientists. In order to conserve and improve soil science in the field, excursions are organized, also in cooperation with other scientific organisations. Due to well-established contacts with soil scientists and soil science societies in many countries, the ASSS is able to provide its members with information about the most recent developments in the field of soil science. This contributes to a broadening of the current scientific knowledge on soils. The ASSS also co-operates in the organisation of excursions and meetings with neighbouring countries. Several members of the ASSS teach soil science at various Austrian universities. More detail on said conferences, excursions, publications and awards will be given in the presentation. Beside its own scientific journal, published once or twice a year, and special editions such as guidebooks for soil classification, the ASSS runs a website providing information on the Society, its activities, meetings, publications, awards and projects. Together with the Environment Agency Austria the ASSS runs a soil platform on the internet. It is accessible for the public and thus informs society about soil issues. This platform offers a calendar with national and international soil events, contacts of soil related organisations and networks, information on national projects and publications. The society has access to products, information material and information on educational courses. Last but not least information on specific soil

  19. Mathematical modeling provides kinetic details of the human immune response to vaccination

    Directory of Open Access Journals (Sweden)

    Dustin eLe

    2015-01-01

    Full Text Available With major advances in experimental techniques to track antigen-specific immune responses many basic questions on the kinetics of virus-specific immunity in humans remain unanswered. To gain insights into kinetics of T and B cell responses in human volunteers we combine mathematical models and experimental data from recent studies employing vaccines against yellow fever and smallpox. Yellow fever virus-specific CD8 T cell population expanded slowly with the average doubling time of 2 days peaking 2.5 weeks post immunization. Interestingly, we found that the peak of the yellow fever-specific CD8 T cell response is determined by the rate of T cell proliferation and not by the precursor frequency of antigen-specific cells as has been suggested in several studies in mice. We also found that while the frequency of virus-specific T cells increases slowly, the slow increase can still accurately explain clearance of yellow fever virus in the blood. Our additional mathematical model describes well the kinetics of virus-specific antibody-secreting cell and antibody response to vaccinia virus in vaccinated individuals suggesting that most of antibodies in 3 months post immunization are derived from the population of circulating antibody-secreting cells. Taken together, our analysis provides novel insights into mechanisms by which live vaccines induce immunity to viral infections and highlight challenges of applying methods of mathematical modeling to the current, state-of-the-art yet limited immunological data.

  20. Mathematical modeling provides kinetic details of the human immune response to vaccination.

    Science.gov (United States)

    Le, Dustin; Miller, Joseph D; Ganusov, Vitaly V

    2014-01-01

    With major advances in experimental techniques to track antigen-specific immune responses many basic questions on the kinetics of virus-specific immunity in humans remain unanswered. To gain insights into kinetics of T and B cell responses in human volunteers we combined mathematical models and experimental data from recent studies employing vaccines against yellow fever and smallpox. Yellow fever virus-specific CD8 T cell population expanded slowly with the average doubling time of 2 days peaking 2.5 weeks post immunization. Interestingly, we found that the peak of the yellow fever-specific CD8 T cell response was determined by the rate of T cell proliferation and not by the precursor frequency of antigen-specific cells as has been suggested in several studies in mice. We also found that while the frequency of virus-specific T cells increased slowly, the slow increase could still accurately explain clearance of yellow fever virus in the blood. Our additional mathematical model described well the kinetics of virus-specific antibody-secreting cell and antibody response to vaccinia virus in vaccinated individuals suggesting that most of antibodies in 3 months post immunization were derived from the population of circulating antibody-secreting cells. Taken together, our analysis provided novel insights into mechanisms by which live vaccines induce immunity to viral infections and highlighted challenges of applying methods of mathematical modeling to the current, state-of-the-art yet limited immunological data.

  1. Providing Open-Access Know How for Directors of Quantitative and Mathematics Support Centers

    Directory of Open Access Journals (Sweden)

    Michael Schuckers

    2017-01-01

    Full Text Available The purpose of this editorial is to introduce the quantitative literacy community to the newly published A Handbook for Directors of Quantitative and Mathematics Centers. QMaSCs (pronounced “Q-masks” can be broadly defined as centers that have supporting students in quantitative fields of study as part of their mission. Some focus only on calculus or mathematics; others concentrate on numeracy or quantitative literacy, and some do all of that. A QMaSC may be embedded in a mathematics department, or part of a learning commons, or a stand-alone center. There are hundreds of these centers in the U.S. The new handbook, which is the outgrowth of a 2013 NSF-sponsored, national workshop attended by 23 QMaSC directors from all quarters of the U.S., is available open access on the USF Scholar Commons and in hard copy from Amazon.com. This editorial by the handbook’s editors provides background and overview of the 20 detailed chapters on center leadership and management; community interactions; staffing, hiring and training; center assessment; and starting a center; and then a collection of ten case studies from research universities, four-year state colleges, liberal arts colleges, and a community college. The editorial ends by pointing out the need and potential benefits of a professional organization for QMaSC directors.

  2. Hand Society and Matching Program Web Sites Provide Poor Access to Information Regarding Hand Surgery Fellowship.

    Science.gov (United States)

    Hinds, Richard M; Klifto, Christopher S; Naik, Amish A; Sapienza, Anthony; Capo, John T

    2016-08-01

    The Internet is a common resource for applicants of hand surgery fellowships, however, the quality and accessibility of fellowship online information is unknown. The objectives of this study were to evaluate the accessibility of hand surgery fellowship Web sites and to assess the quality of information provided via program Web sites. Hand fellowship Web site accessibility was evaluated by reviewing the American Society for Surgery of the Hand (ASSH) on November 16, 2014 and the National Resident Matching Program (NRMP) fellowship directories on February 12, 2015, and performing an independent Google search on November 25, 2014. Accessible Web sites were then assessed for quality of the presented information. A total of 81 programs were identified with the ASSH directory featuring direct links to 32% of program Web sites and the NRMP directory directly linking to 0%. A Google search yielded direct links to 86% of program Web sites. The quality of presented information varied greatly among the 72 accessible Web sites. Program description (100%), fellowship application requirements (97%), program contact email address (85%), and research requirements (75%) were the most commonly presented components of fellowship information. Hand fellowship program Web sites can be accessed from the ASSH directory and, to a lesser extent, the NRMP directory. However, a Google search is the most reliable method to access online fellowship information. Of assessable programs, all featured a program description though the quality of the remaining information was variable. Hand surgery fellowship applicants may face some difficulties when attempting to gather program information online. Future efforts should focus on improving the accessibility and content quality on hand surgery fellowship program Web sites.

  3. 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…

  4. CESAME: Providing High Quality Professional Development in Science and Mathematics for K-12 Teachers

    Science.gov (United States)

    Hickman, Paul

    2002-04-01

    It is appropriate that after almost half a century of Science and Mathematics education reform we take a look back and a peek forward to understand the present state of this wonderfully complex system. Each of the components of this system including teaching, professional development, assessment, content and the district K-12 curriculum all need to work together if we hope to provide quality science, mathematics and technology education for ALL students. How do the state and national standards drive the system? How do state policies on student testing and teacher licensure come into play? How do we improve the preparation, retention and job satisfaction of our K-12 teachers? What initiatives have made or are making a difference? What else needs to be done? What can the physics community do to support local efforts? This job is too big for any single organization or individual but we each can contribute to the effort. Our Center at Northeastern University, with support from the National Science Foundation, has a sharply defined focus: to get high quality, research-based instructional materials into the hands of K-12 classroom teachers and provide the support they need to use the materials effectively in their classrooms.

  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. Computational benchmark problems: a review of recent work within the American Nuclear Society Mathematics and Computation Division

    International Nuclear Information System (INIS)

    Dodds, H.L. Jr.

    1977-01-01

    An overview of the recent accomplishments of the Computational Benchmark Problems Committee of the American Nuclear Society Mathematics and Computation Division is presented. Solutions of computational benchmark problems in the following eight areas are presented and discussed: (a) high-temperature gas-cooled reactor neutronics, (b) pressurized water reactor (PWR) thermal hydraulics, (c) PWR neutronics, (d) neutron transport in a cylindrical ''black'' rod, (e) neutron transport in a boiling water reactor (BWR) rod bundle, (f) BWR transient neutronics with thermal feedback, (g) neutron depletion in a heavy water reactor, and (h) heavy water reactor transient neutronics. It is concluded that these problems and solutions are of considerable value to the nuclear industry because they have been and will continue to be useful in the development, evaluation, and verification of computer codes and numerical-solution methods

  7. Mathematics

    CERN Document Server

    Eringen, A Cemal

    2013-01-01

    Continuum Physics: Volume 1 - Mathematics is a collection of papers that discusses certain selected mathematical methods used in the study of continuum physics. Papers in this collection deal with developments in mathematics in continuum physics and its applications such as, group theory functional analysis, theory of invariants, and stochastic processes. Part I explains tensor analysis, including the geometry of subspaces and the geometry of Finsler. Part II discusses group theory, which also covers lattices, morphisms, and crystallographic groups. Part III reviews the theory of invariants th

  8. Sociedade, cultura, matemática e seu ensino Society, culture, mathematics and its teaching

    Directory of Open Access Journals (Sweden)

    Ubiratan D’Ambrósio

    2005-03-01

    strong pressure from international studies and evaluations, inevitably comparative, and sadly competitive. As a result, one observes the gradual elimination of cultural components in the definition of education systems. The constitution of new social imaginaries becomes clear; imaginaries empty of historical, geographical and temporal referents, characterized by a strong presence of the culture of the image. The criteria of classification establish an inappropriate reference that has as its consequence the definition of practices and even of education systems. On the other hand, resistance mechanisms, often unconscious, are activated seeking to safeguard and recover the identifying features of a culture, such as its traditions, cuisine, languages, artistic manifestations in general, and, in doing so, to contribute to cultural diversity, an essential factor to encourage creativity. In this article, the sociocultural basis of mathematics and of its teaching are examined, and also the consequences of globalization and its effects on multicultural education. The concept of culture is discussed, as well as issues related to culture dynamics, resulting in the proposition of a theory of transdisciplinar and transcultural knowledge. Upon such basis the Ethnomathematics Program is presented. A critique is also made of the curriculum presently used, which is in its conception and detailing, obsolete, uninteresting and of little use. A different concept of curriculum is proposed, based on the communicative (literacy, analytical (matheracy, and material (technoracy instruments.

  9. Model to identify mathematics topics in MXit lingo to provide tutors quick access to supporting documentation

    CSIR Research Space (South Africa)

    Butgereit, L

    2011-11-01

    Full Text Available Dr MathTM is a mobile, online tutoring system where learners can use MXitTM on their mobile phones to receive help with their mathematics homework from volunteer tutors. These conversations between learners and Dr Math are held in MXit lingo. MXit...

  10. Mathematics

    CERN Document Server

    Stein, Sherman K

    2010-01-01

    Anyone can appreciate the beauty, depth, and vitality of mathematics with the help of this highly readable text, specially developed from a college course designed to appeal to students in a variety of fields. Readers with little mathematical background are exposed to a broad range of subjects chosen from number theory, topology, set theory, geometry, algebra, and analysis. Starting with a survey of questions on weight, the text discusses the primes, the fundamental theorem of arithmetic, rationals and irrationals, tiling, tiling and electricity, probability, infinite sets, and many other topi

  11. Mathematics

    International Nuclear Information System (INIS)

    Demazure, M.

    1988-01-01

    The 1988 progress report of the Mathematics center (Polytechnic School, France), is presented. The Center is composed of different research teams: analysis, Riemann geometry, group theory, formal calculus and algorithm geometry, dynamical systems, topology and singularity. For each team, the members, the research topics, the national and international cooperations, are given. The papers concerning the investigations carried out in 1988, are listed [fr

  12. American Society of Clinical Oncology Summit on Addressing Obesity Through Multidisciplinary Provider Collaboration: Key Findings and Recommendations for Action.

    Science.gov (United States)

    Ligibel, Jennifer A; Alfano, Catherine M; Hershman, Dawn L; Merrill, Janette K; Basen-Engquist, Karen; Bloomgarden, Zachary T; Demark-Wahnefried, Wendy; Dixon, Suzanne; Hassink, Sandra G; Jakicic, John M; Morton, John Magaña; Okwuosa, Tochi M; Powell-Wiley, Tiffany M; Rothberg, Amy E; Stephens, Mark; Streett, Sarah E; Wild, Robert A; Westman, Eric A; Williams, Ronald J; Wollins, Dana S; Hudis, Clifford A

    2017-11-01

    Given the increasing evidence that obesity increases the risk of developing and dying from malignancy, the American Society of Clinical Oncology (ASCO) launched an Obesity Initiative in 2013 that was designed to increase awareness among oncology providers and the general public of the relationship between obesity and cancer and to promote research in this area. Recognizing that the type of societal change required to impact the obesity epidemic will require a broad-based effort, ASCO hosted the "Summit on Addressing Obesity through Multidisciplinary Collaboration" in 2016. This meeting was held to review current challenges in addressing obesity within the respective health care provider communities and to identify priorities that would most benefit from a collective and cross-disciplinary approach. Efforts focused on four key areas: provider education and training; public education and activation; research; and policy and advocacy. Summit attendees discussed current challenges in addressing obesity within their provider communities and identified priorities that would most benefit from multidisciplinary collaboration. A synopsis of recommendations to facilitate future collaboration, as well as examples of ongoing cooperative efforts, provides a blueprint for multidisciplinary provider collaboration focused on obesity prevention and treatment. © 2017 The Obesity Society.

  13. A model to identify mathematics topics in MXit lingo to provide tutors quick access to supporting documentation

    Directory of Open Access Journals (Sweden)

    Laurie Butgereit

    2011-11-01

    Full Text Available Dr MathTM is a mobile, online tutoring system where learners can use MXitTM on their mobile phones to receive help with their mathematics homework from volunteer tutors. These conversations between learners and Dr Math are held in MXit lingo. MXit lingo is a heavily abbreviated, English-like language that is evolving between users of mobile phones that communicate using MXit. The Dr Math project has been running since January 2007 and uses volunteer tutors who are mostly university students who readily understand and use MXit lingo. However, due to the large number of simultaneous conversations that the tutors are often involved in and the diversity of topics discussed, it would often be beneficial to provide assistance regarding the mathematics topic to the tutors. This article explains how the μ model identifies the mathematics topic in the conversation. The model identifies appropriate mathematics topics in just over 75% of conversations in a corpus of conversations identified to be about mathematics topics in the school curriculum.

  14. Critical Mathematics education: Past, present and future

    DEFF Research Database (Denmark)

    contribution to the shaping of those concerns in the international community of mathematics educators and mathematics education researchers. This book gathers contributions of researchers from five continents, for whom critical mathematics education has been an inspiration to think about many different topics...... such as the dialogical and political dimensions of teacher education, mathematical modeling, the philosophy of mathematics from social and political perspectives, teaching practices in classrooms, the connection between mathematics and society, the scope and limits of critical thinking in relation to mathematics......Critical mathematics education brings together a series of concerns related to mathematics and its role in society, the practices of teaching and learning of mathematics in educational settings, and the practices of researching mathematics education. The work of Ole Skovsmose has provided a seminal...

  15. A Study on the Effect of Mathematics Teaching Provided through Drama on the Mathematics Ability of Six-Year-Old Children

    Science.gov (United States)

    Erdogan, Serap; Baran, Gulen

    2009-01-01

    This study was conducted to examine the effect of mathematics teaching given through the drama method on the mathematical ability of six-year-old children. The research was conducted in Ankara on 105 children from the kindergarten classes of two different primary schools of the Ministry of National Education, which are at middle socio-economic…

  16. Mathematics Connection

    African Journals Online (AJOL)

    MATHEMATICS CONNECTION aims at providing a forum topromote the development of Mathematics Education in Ghana. Articles that seekto enhance the teaching and/or learning of mathematics at all levels of theeducational system are welcome.

  17. Practical Theology and providing service: The service through love of the Mamas Africa in the South African society

    Directory of Open Access Journals (Sweden)

    Amanda L. du Plessis

    2014-02-01

    Full Text Available A fundamental principle of the Christian faith is that man is saved by the grace and by faith in the Triune God, not by deeds. Yet, James emphasises the importance of works after the Christian has been saved. Jesus said during his ministry on earth that he did not come to be served, but to serve. Faith is therefore seen in deeds, specifically deeds of love, that is, deeds that indicate that the Christian is not leading an egocentric life anymore, but a life characterised by considering his or her fellow human beings and reaching out to them. Eighteen years after apartheid, South Africa is still a country striving to build a nation and to be healed. Marches and protests against poor public service deliveries have become a well-known sight in society. Despite the larger picture of inadequate service, there are those who serve their fellow humans and society every day. The Mamas Africa utilising the minimum resources available, are examples of people who make a difference in society every day. The concept Mama Africa indicates all women from all races who are making a difference in the South African society by promoting mutual bonding. The motivation for their deeds is a deep faith in God, who is the source of hope and a conviction that a Christian has to serve others.

  18. A Mathematical Model of Metabolism and Regulation Provides a Systems-Level View of How Escherichia coli Responds to Oxygen

    Directory of Open Access Journals (Sweden)

    Michael eEderer

    2014-03-01

    Full Text Available The efficient redesign of bacteria for biotechnological purposes, such as biofuel production, waste disposal or specific biocatalytic functions, requires a quantitative systems-level understanding of energy supply, carbon and redox metabolism. The measurement of transcript levels, metabolite concentrations and metabolic fluxes per se gives an incomplete picture. An appreciation of the interdependencies between the different measurement values is essential for systems-level understanding. Mathematical modeling has the potential to provide a coherent and quantitative description of the interplay between gene expression, metabolite concentrations and metabolic fluxes. Escherichia coli undergoes major adaptations in central metabolism when the availability of oxygen changes. Thus, an integrated description of the oxygen response provides a benchmark of our understanding of carbon, energy and redox metabolism. We present the first comprehensive model of the central metabolism of E. coli that describes steady-state metabolism at different levels of oxygen availability. Variables of the model are metabolite concentrations, gene expression levels, transcription factor activities, metabolic fluxes and biomass concentration. We analyze the model with respect to the production capabilities of central metabolism of E. coli. In particular, we predict how precursor and biomass concentration are affected by product formation.

  19. European Society of Cardiology smartphone and tablet applications for patients with atrial fibrillation and their health care providers.

    Science.gov (United States)

    Kotecha, Dipak; Chua, Winnie W L; Fabritz, Larissa; Hendriks, Jeroen; Casadei, Barbara; Schotten, Ulrich; Vardas, Panos; Heidbuchel, Hein; Dean, Veronica; Kirchhof, Paulus

    2018-02-01

    We are in the midst of a digital revolution in health care, although the application of new and useful technology in routine clinical practice is variable. The Characterizing Atrial fibrillation by Translating its Causes into Health Modifiers in the Elderly (CATCH ME) Consortium, in collaboration with the European Society of Cardiology (ESC), has funded the creation of two applications (apps) in atrial fibrillation (AF) for use in smartphones and tablets. The patient app aims to enhance patient education, improve communication between patients and health care professionals, and encourage active patient involvement in the management of their condition. The health care professional app is designed as an interactive management tool incorporating the new ESC Practice Guidelines on AF and supported by the European Heart Rhythm Association (EHRA), with the aim of improving best practice approaches for the care of patients with AF. Both stand-alone apps are now freely available for Android and iOS devices though the Google Play, Amazon, and Apple stores. In this article, we outline the rationale for the design and implementation of these apps. Our objective is to demonstrate the value of integrating novel digital technology into clinical practice, with the potential for patient engagement, optimization of pharmacological and interventional therapy in AF, and ultimately to improve patient outcomes. © The Author 2017. Published by Oxford University Press on behalf of the European Society of Cardiology.

  20. European Society of Cardiology smartphone and tablet applications for patients with atrial fibrillation and their health care providers

    Science.gov (United States)

    Kotecha, Dipak; Chua, Winnie W L; Fabritz, Larissa; Hendriks, Jeroen; Casadei, Barbara; Schotten, Ulrich; Vardas, Panos; Heidbuchel, Hein; Dean, Veronica; Kirchhof, Paulus

    2018-01-01

    Abstract We are in the midst of a digital revolution in health care, although the application of new and useful technology in routine clinical practice is variable. The Characterizing Atrial fibrillation by Translating its Causes into Health Modifiers in the Elderly (CATCH ME) Consortium, in collaboration with the European Society of Cardiology (ESC), has funded the creation of two applications (apps) in atrial fibrillation (AF) for use in smartphones and tablets. The patient app aims to enhance patient education, improve communication between patients and health care professionals, and encourage active patient involvement in the management of their condition. The health care professional app is designed as an interactive management tool incorporating the new ESC Practice Guidelines on AF and supported by the European Heart Rhythm Association (EHRA), with the aim of improving best practice approaches for the care of patients with AF. Both stand-alone apps are now freely available for Android and iOS devices though the Google Play, Amazon, and Apple stores. In this article, we outline the rationale for the design and implementation of these apps. Our objective is to demonstrate the value of integrating novel digital technology into clinical practice, with the potential for patient engagement, optimization of pharmacological and interventional therapy in AF, and ultimately to improve patient outcomes. PMID:29040548

  1. Mathematical Articles for the general public

    DEFF Research Database (Denmark)

    Hansen, Vagn Lundsgaard

    2003-01-01

    Report on an article competition for mathematical articles addressing the general public arranged by the European Mathematical Society.......Report on an article competition for mathematical articles addressing the general public arranged by the European Mathematical Society....

  2. What is the quality of information on social oocyte cryopreservation provided by websites of Society for Assisted Reproductive Technology member fertility clinics?

    Science.gov (United States)

    Avraham, Sarit; Machtinger, Ronit; Cahan, Tal; Sokolov, Amit; Racowsky, Catherine; Seidman, Daniel S

    2014-01-01

    To evaluate adequacy and adherence to American Society for Reproductive Medicine (ASRM) guidelines of internet information provided by Society for Assisted Reproductive Technology (SART)-affiliated clinics regarding social oocyte cryopreservation (SOC). Systematic evaluation of websites of all SART member fertility clinics. The internet. None. All websites offering SOC services were scored using a 0-13 scale, based on 10 questions designed to assess website quality and adherence to the ASRM/SART guidelines. The websites were analyzed independently by two authors. Whenever disagreement occurred, a third investigator determined the score. Scores defined website quality as excellent, ≥9; moderate, 5-8; or poor, ≤4 points. Of the 387 clinics registered as SART members, 200 offered oocyte cryopreservation services for either medical or social reasons; 147 of these advertised SOC. The average website scores of those clinics offering SOC was 3.4 ± 2.1 (range, 2-11) points. There was no significant difference in scores between private versus academic clinics or clinics performing more or less than 500 cycles per year. The majority of the websites do not follow the SART/ASRM guidelines for SOC, indicating that there is a need to improve the type and quality of information provided on SOC by SART member websites. Copyright © 2014 American Society for Reproductive Medicine. Published by Elsevier Inc. All rights reserved.

  3. Financial Education Through Mathematics and IT Curricula: Pocket Money Management

    OpenAIRE

    Gortcheva, Iordanka

    2013-01-01

    Report published in the Proceedings of the National Conference on "Education in the Information Society", Plovdiv, May, 2013 Mathematics and IT classes in the Bulgarian school provide various opportunities for developing students’ logical, mathematical, and technological thinking. Being an important part of mathematical literacy, financial literacy can be systematically built in the frame of national mathematics and IT curricula. Following that objective, exemplary word problems ...

  4. Creating the Royal Society's Sylvester Medal

    OpenAIRE

    Cantor, G.

    2004-01-01

    Following the death of James Joseph Sylvester in 1897, contributions were collected in order to mark his life and work by a suitable memorial. This initiative resulted in the Sylvester Medal, which is awarded triennially by the Royal Society for the encouragement of research into pure mathematics. Ironically the main advocate for initiating this medal was not a fellow mathematician but the chemist and naturalist Raphael Meldola. Religion, not mathematics, provided the link between Meldola and...

  5. Transforming Society

    DEFF Research Database (Denmark)

    Enemark, Stig; Dahl Højgaard, Pia

    2017-01-01

    , was a result of transforming society from a feudal system to a capitalistic and market based economy. This story is interesting in itself - but it also provides a key to understanding the cadastral system of today. The system has evolved over time and now serves a whole range of functions in society. The paper...

  6. Mathematics and Computation in Music

    DEFF Research Database (Denmark)

    The 5th Biennial International Conference for Mathematics and Computation in Music (MCM 2015) took place June 22–25, 2015, at Queen Mary University of London, UK, co-hosted by the School of Electronic Engineering and Computer Science (Centre for Digital Music) and the School of Mathematical...... Sciences. As the flagship conference of the Society for Mathematics and Computation in Music (SMCM), MCM 2015 provided a dedicated platform for the communication and exchange of ideas among researchers in mathematics, informatics, music theory, composition, musicology, and related disciplines. It brought...... together researchers from around the world who combine mathematics or computation with music theory, music analysis, composition, and performance. This year’s program – full details at http://mcm2015.qmul.ac.uk – featured a number of distinguished keynote speakers, including Andrée Ehresmann (who spoke...

  7. The role of the American Society for Testing and Materials (ASTM) in providing standards to support reliability technology for nuclear power plants

    International Nuclear Information System (INIS)

    Steele, L.E.

    1978-01-01

    ASTM is an international society for managing the development of standards on characteristics and performance of materials, products, systems and services and the promotion of related knowledge. This paper provides on overview of ASTM, emphasizing its contribution to nuclear systems reliability. In so doing, the author, from his perspective as chairman of ASTM committee E 10 on ''Nuclear Applications and the Measurement of Radiation Effects and the Committee on Standards'', illustrates ASTM contributions to the understanding and control of radiation embrittlement of light-water reactor pressure vessels. Four major related taks are summarized and pertinent standards identified. These include: (1) surveillance practice (5 standards), (2) neutron dosimetry (8 standards), (3) specification for steels for nuclear service (7 standards) and (4) basic guidelines for thermal annealing to correct radiation embrittlement (1 standard). This illustration, a specific accomplishment using ASTM standards, is cited within the context of the broader nuclear-related activities of ASTM. (author)

  8. 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

  9. Mathematical Perspectives

    Energy Technology Data Exchange (ETDEWEB)

    Glimm, J.

    2009-10-14

    Progress for the past decade or so has been extraordinary. The solution of Fermat's Last Theorem [11] and of the Poincare Conjecture [1] have resolved two of the most outstanding challenges to mathematics. For both cases, deep and advanced theories and whole subfields of mathematics came into play and were developed further as part of the solutions. And still the future is wide open. Six of the original seven problems from the Clay Foundation challenge remain open, the 23 DARPA challenge problems are open. Entire new branches of mathematics have been developed, including financial mathematics and the connection between geometry and string theory, proposed to solve the problems of quantized gravity. New solutions of the Einstein equations, inspired by shock wave theory, suggest a cosmology model which fits accelerating expansion of the universe possibly eliminating assumptions of 'dark matter'. Intellectual challenges and opportunities for mathematics are greater than ever. The role of mathematics in society continues to grow; with this growth comes new opportunities and some growing pains; each will be analyzed here. We see a broadening of the intellectual and professional opportunities and responsibilities for mathematicians. These trends are also occuring across all of science. The response can be at the level of the professional societies, which can work to deepen their interactions, not only within the mathematical sciences, but also with other scientific societies. At a deeper level, the choices to be made will come from individual mathematicians. Here, of course, the individual choices will be varied, and we argue for respect and support for this diversity of responses. In such a manner, we hope to preserve the best of the present while welcoming the best of the new.

  10. Engineering mathematics

    CERN Document Server

    Stroud, K A

    2013-01-01

    A groundbreaking and comprehensive reference that's been a bestseller since it first debuted in 1970, the new seventh edition of Engineering Mathematics has been thoroughly revised and expanded. Providing a broad mathematical survey, this innovative volume covers a full range of topics from the very basic to the advanced. Whether you're an engineer looking for a useful on-the-job reference or want to improve your mathematical skills, or you are a student who needs an in-depth self-study guide, Engineering Mathematics is sure to come in handy time and time again.

  11. Developing Students' Reflections on the Function and Status of Mathematical Modeling in Different Scientific Practices: History as a Provider of Cases

    Science.gov (United States)

    Kjeldsen, Tinne Hoff; Blomhøj, Morten

    2013-01-01

    Mathematical models and mathematical modeling play different roles in the different areas and problems in which they are used. The function and status of mathematical modeling and models in the different areas depend on the scientific practice as well as the underlying philosophical and theoretical position held by the modeler(s) and the…

  12. Implications of Interactions among Society, Education and Technology: A Comparison of Multiple Linear Regression and Multilevel Modeling in Mathematics Achievement Analyses

    Science.gov (United States)

    Deering, Pamela Rose

    2014-01-01

    This research compares and contrasts two approaches to predictive analysis of three years' of school district data to investigate relationships between student and teacher characteristics and math achievement as measured by the state-mandated Maryland School Assessment mathematics exam. The sample for the study consisted of 3,514 students taught…

  13. Impact of Organizational Inertia and Dynamic Capabilities on Educational Performance of the Charitable Societies and Its Impact on Mathematical Performance of Elementary At-Risk Students

    Science.gov (United States)

    Amiripour, Parvaneh; Dossey, John A.; Shahvarani, Ahmad

    2017-01-01

    This study is an adjunct to a research effort focused on a mathematical curricular innovation in four non-governmental schools in Tehran, Iran. This study queried balanced, random sample of 100 educational personnel from the schools concerning dynamic capabilities associated with change (sensing opportunities, seizing opportunities, and…

  14. Citizenship in civil society?

    NARCIS (Netherlands)

    Ossewaarde, Marinus R.R.

    2007-01-01

    This article seeks to provide a conceptual framework to complement and guide the empirical analysis of civil society. The core argument is that civil society must be understood, not as a category of (post)industrialized society, but as one of individualized society. Civil society is characterized by

  15. Mathematical biology

    CERN Document Server

    Murray, James D

    1993-01-01

    The book is a textbook (with many exercises) giving an in-depth account of the practical use of mathematical modelling in the biomedical sciences. The mathematical level required is generally not high and the emphasis is on what is required to solve the real biological problem. The subject matter is drawn, e.g. from population biology, reaction kinetics, biological oscillators and switches, Belousov-Zhabotinskii reaction, reaction-diffusion theory, biological wave phenomena, central pattern generators, neural models, spread of epidemics, mechanochemical theory of biological pattern formation and importance in evolution. Most of the models are based on real biological problems and the predictions and explanations offered as a direct result of mathematical analysis of the models are important aspects of the book. The aim is to provide a thorough training in practical mathematical biology and to show how exciting and novel mathematical challenges arise from a genuine interdisciplinary involvement with the biosci...

  16. Figures of thought mathematics and mathematical texts

    CERN Document Server

    Reed, David

    2003-01-01

    Examines the ways in which mathematical works can be read as texts, examines their textual strategiesand demonstrates that such readings provide a rich source of philosophical debate regarding mathematics.

  17. Mathematical statistics

    CERN Document Server

    Pestman, Wiebe R

    2009-01-01

    This textbook provides a broad and solid introduction to mathematical statistics, including the classical subjects hypothesis testing, normal regression analysis, and normal analysis of variance. In addition, non-parametric statistics and vectorial statistics are considered, as well as applications of stochastic analysis in modern statistics, e.g., Kolmogorov-Smirnov testing, smoothing techniques, robustness and density estimation. For students with some elementary mathematical background. With many exercises. Prerequisites from measure theory and linear algebra are presented.

  18. Engineering Mathematics in Context

    DEFF Research Database (Denmark)

    Ravn, Ole; Henriksen, Lars Bo

    2017-01-01

    A theory-based approach to scientific research has an inherent tendency to become secluded from the ongoing problems and discussions of the surrounding society. A problem-based approach to research immediately involves this context of problems and discussions from the outset. In this article, we ...... argue that education in university engineering mathematics should take its outset in contextual problems in order to provide a foundation for the skills and capabilities engineers need in their future job settings, whether it be research or development activities....

  19. Mathematical modelling

    CERN Document Server

    2016-01-01

    This book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering. In keeping with this spirit of modelling, the book includes a wealth of cross-references between the chapters and frequently points to the real-world context. The book combines classical approaches to modelling with novel areas such as soft computing methods, inverse problems, and model uncertainty. Attention is also paid to the interaction between models, data and the use of mathematical software. The reader will find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, probabilistic and discrete phenomena, and asymptotic and sensitivity analysis.

  20. Algorithmic mathematics

    CERN Document Server

    Hougardy, Stefan

    2016-01-01

    Algorithms play an increasingly important role in nearly all fields of mathematics. This book allows readers to develop basic mathematical abilities, in particular those concerning the design and analysis of algorithms as well as their implementation. It presents not only fundamental algorithms like the sieve of Eratosthenes, the Euclidean algorithm, sorting algorithms, algorithms on graphs, and Gaussian elimination, but also discusses elementary data structures, basic graph theory, and numerical questions. In addition, it provides an introduction to programming and demonstrates in detail how to implement algorithms in C++. This textbook is suitable for students who are new to the subject and covers a basic mathematical lecture course, complementing traditional courses on analysis and linear algebra. Both authors have given this "Algorithmic Mathematics" course at the University of Bonn several times in recent years.

  1. Mathematics. [SITE 2002 Section].

    Science.gov (United States)

    Connell, Michael L., Ed.; Lowery, Norene Vail, Ed.; Harnisch, Delwyn L., Ed.

    This document contains the following papers on mathematics from the SITE (Society for Information Technology & Teacher Education) 2002 conference: (1) "Teachers' Learning of Mathematics in the Presence of Technology: Participatory Cognitive Apprenticeship" (Mara Alagic); (2) "A Fractal Is a Pattern in Your Neighborhood" (Craig N. Bach); (3)…

  2. An "Elective Replacement" Approach to Providing Extra Help in Math: The Talent Development Middle Schools' Computer- and Team-Assisted Mathematics Acceleration (CATAMA) Program.

    Science.gov (United States)

    Mac Iver, Douglas J.; Balfanz, Robert; Plank, Stephan B.

    1999-01-01

    Two studies evaluated the Computer- and Team-Assisted Mathematics Acceleration course (CATAMA) in Talent Development Middle Schools. The first study compared growth in math achievement for 96 seventh-graders (48 of whom participated in CATAMA and 48 of whom did not); the second study gathered data from interviews with, and observations of, CATAMA…

  3. Mathematical biophysics

    CERN Document Server

    Rubin, Andrew

    2014-01-01

    This book presents concise descriptions and analysis of the classical and modern models used in mathematical biophysics. The authors ask the question "what new information can be provided by the models that cannot be obtained directly from experimental data?" Actively developing fields such as regulatory mechanisms in cells and subcellular systems and electron transport and energy transport in membranes are addressed together with more classical topics such as metabolic processes, nerve conduction and heart activity, chemical kinetics, population dynamics, and photosynthesis. The main approach is to describe biological processes using different mathematical approaches necessary to reveal characteristic features and properties of simulated systems. With the emergence of powerful mathematics software packages such as MAPLE, Mathematica, Mathcad, and MatLab, these methodologies are now accessible to a wide audience. Provides succinct but authoritative coverage of a broad array of biophysical topics and models Wr...

  4. Mathematical stereochemistry

    CERN Document Server

    Fujita, Shinsaku

    2015-01-01

    Chirality and stereogenicity are closely related concepts and their differentiation and description is still a challenge in chemoinformatics. A new stereoisogram approach, developed by the author, is introduced in this book, providing a theoretical framework for mathematical aspects of modern stereochemistry. The discussion covers point-groups and permutation symmetry and exemplifies the concepts using organic molecules and inorganic complexes.

  5. Mathematical concepts

    CERN Document Server

    Jost, Jürgen

    2015-01-01

    The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully motivated, explained and illustrated by examples so that many of the more technical proofs can be omitted. The book can therefore be used: ·         simply as an overview of the panorama of mathematical structures and the relations between them, to be supplemented by more detailed texts whenever you want to acquire a working knowledge of some structure ·         by itself as a first introduction to abstract mathematics ·         together with existing textbooks, to put their results into a more general perspective ·         to gain a new and hopefully deeper perspective after having studied such textbooks Mathematical Concepts has a broader scope and is less detaile...

  6. Mathematical tapas

    CERN Document Server

    Hiriart-Urruty, Jean-Baptiste

    This book contains a collection of exercises (called “tapas”) at undergraduate level, mainly from the fields of real analysis, calculus, matrices, convexity, and optimization. Most of the problems presented here are non-standard and some require broad knowledge of different mathematical subjects in order to be solved. The author provides some hints and (partial) answers and also puts these carefully chosen exercises into context, presents information on their origins, and comments on possible extensions. With stars marking the levels of difficulty, these tapas show or prove something interesting, challenge the reader to solve and learn, and may have surprising results. This first volume of Mathematical Tapas will appeal to mathematicians, motivated undergraduate students from science-based areas, and those generally interested in mathematics.

  7. Autism Society

    Science.gov (United States)

    ... Español Improving the lives of all affected by autism. The Autism Society is the nation's leading grassroots ... more Improving the lives of all affected by autism. The Autism Society is the nation's leading grassroots ...

  8. Raising Public Awareness of Mathematics

    CERN Document Server

    Behrends, Ehrhard; Rodrigues, José Francisco

    2012-01-01

    This collective book aims to encourage and inspire actions directed towards raising public awareness of the importance of mathematical sciences for our contemporary society in a cultural and historical perspective. Mathematical societies, in Europe and around the world, can find ideas, blueprints and suggestions for activities - including concerted actions with other international organizations - directed towards raising public awareness of science, technology and other fields where mathematics plays a strong role. The material is divided into four parts: * National experiences * Exhibitions /

  9. Implementing a new mathematics curriculum: Mathematics teachers’ beliefs and practices

    OpenAIRE

    Ernest Ampadu

    2013-01-01

    Mathematics has become a ‘critical filter’ in the social, economic and professional development of individuals and forms a core component of the school curriculum in most countries. It is upon this utilitarian nature of mathematics to the individual and the society as a whole that the school mathematics curriculum has been undergoing a number of restructuring over the last three decades. In Ghana, a new mathematics curriculum was introduced in September 2007 which aims at shifting the teachin...

  10. Mathematics Connection: Editorial Policies

    African Journals Online (AJOL)

    Focus and Scope. MATHEMATICS CONNECTION aims at providing a forum to promote the development of Mathematics Education in Ghana. Articles that seek to enhance the teaching and/or learning of mathematics at all levels of the educational system are welcome ...

  11. Reclaiming Society Publishing

    Directory of Open Access Journals (Sweden)

    Philip E. Steinberg

    2015-07-01

    Full Text Available Learned societies have become aligned with commercial publishers, who have increasingly taken over the latter’s function as independent providers of scholarly information. Using the example of geographical societies, the advantages and disadvantages of this trend are examined. It is argued that in an era of digital publication, learned societies can offer leadership with a new model of open access that can guarantee high quality scholarly material whose publication costs are supported by society membership dues.

  12. Intangible heritage for sustainable future: mathematics in the paddy field

    Science.gov (United States)

    Dewanto, Stanley P.; Kusuma, Dianne A.; Nurani Ruchjana, Budi; Setiawan Abdullah, Atje

    2017-10-01

    Mathematics, as the only general language, can describe all phenomena on earth. Mathematics not only helps us to understand these phenomena, but it also can sustain human activities, consequently ensure that the future development is sustainable. Indonesia, with high cultural diversity, should aware to have its understanding, skills, and philosophies developed by certain societies, with long histories of interaction with their natural surroundings, which will provide a foundation for locally appropriate sustainable development. This paper discussed the condition and situation on certain area in Cigugur, Indonesia, and what skills, knowledge, and concept can be transmitted, regarding simple mathematics (arithmetic). Some examples are provided.

  13. Mass Society

    DEFF Research Database (Denmark)

    Borch, Christian

    2017-01-01

    the negative features usually ascribed by late nineteenth-century crowd psychology to spontaneous crowds, and attributes these to the entire social fabric. However, in contrast to crowd psychology, theorists of mass society often place greater emphasis on how capitalism, technological advances, or demographic......Mass society is a societal diagnosis that emphasizes – usually in a pejorative, modernity critical manner – a series of traits allegedly associated with modern society, such as the leveling of individuality, moral decay, alienation, and isolation. As such, the notion of mass society generalizes...... developments condition such negative features, and some theorists argue that mass society produces a propensity to totalitarianism. Discussions of mass society culminated in the early and mid-twentieth century....

  14. Fundamental concepts of mathematics

    CERN Document Server

    Goodstein, R L

    Fundamental Concepts of Mathematics, 2nd Edition provides an account of some basic concepts in modern mathematics. The book is primarily intended for mathematics teachers and lay people who wants to improve their skills in mathematics. Among the concepts and problems presented in the book include the determination of which integral polynomials have integral solutions; sentence logic and informal set theory; and why four colors is enough to color a map. Unlike in the first edition, the second edition provides detailed solutions to exercises contained in the text. Mathematics teachers and people

  15. Planetary Society

    Science.gov (United States)

    Murdin, P.

    2000-11-01

    Carl Sagan, Bruce Murray and Louis Friedman founded the non-profit Planetary Society in 1979 to advance the exploration of the solar system and to continue the search for extraterrestrial life. The Society has its headquarters in Pasadena, California, but is international in scope, with 100 000 members worldwide, making it the largest space interest group in the world. The Society funds a var...

  16. Civil Society and Governance

    DEFF Research Database (Denmark)

    Hulgård, Lars

    An illustration of how important the relationship is between civil society anbd governance. A short historic journey with four snapshots of times and situations that have provided interesting evidence about the connection between civil society and governance. My goal for the short historic journey...... is to make clear and hopefully even verify that providing knowledge about the impact of civil society and citizens’ participation on governance is one of the most urgent research tasks in the current period of time....

  17. Mathematical Modeling in the High School Curriculum

    Science.gov (United States)

    Hernández, Maria L.; Levy, Rachel; Felton-Koestler, Mathew D.; Zbiek, Rose Mary

    2016-01-01

    In 2015, mathematics leaders and instructors from the Society for Industrial and Applied Mathematics (SIAM) and the Consortium for Mathematics and Its Applications (COMAP), with input from NCTM, came together to write the "Guidelines for Assessment and Instruction in Mathematical Modeling Education" (GAIMME) report as a resource for…

  18. Mathematics Underground

    Science.gov (United States)

    Luther, Kenneth H.

    2012-01-01

    Mathematical modeling of groundwater flow is a topic at the intersection of mathematics and geohydrology and is rarely encountered in undergraduate mathematics. However, this subject is full of interesting and meaningful examples of truly "applied" mathematics accessible to undergraduates, from the pre-calculus to advanced mathematics levels. This…

  19. 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…

  20. Mathematics for physical chemistry

    CERN Document Server

    Mortimer, Robert G

    2013-01-01

    Mathematics for Physical Chemistry is the ideal supplementary text for practicing chemists and students who want to sharpen their mathematics skills while enrolled in general through physical chemistry courses. This book specifically emphasizes the use of mathematics in the context of physical chemistry, as opposed to being simply a mathematics text. This 4e includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The early chapters are constructed around a sequence of mathematical topics, wit

  1. Mathematics for the imagination

    CERN Document Server

    Higgins, Peter

    2002-01-01

    Mathematics for the Imagination provides an accessible and entertaining investigation into mathematical problems in the world around us. From world navigation, family trees, and calendars to patterns, tessellations, and number tricks, this informative and fun new book helps you to understand the maths behind real-life questions and rediscover your arithmetical mind.This is a follow-up to the popular Mathematics for the Curious, Peter Higgins's first investigation into real-life mathematical problems.A highly involving book which encourages the reader to enter into the spirit of mathematical ex

  2. Civil Society

    Science.gov (United States)

    Social Media Facebook @oasofficial Facebook Twitter @oas_official Twitter Newsletters Documents OAS Technology Social Development Summits of the Americas Sustainable Development T Telecommunications Terrorism Tourism Trade Treaties and Agreements W Women Y Youth Strategic Partners Permanent Observers Civil Society

  3. Mathematics for the liberal arts

    CERN Document Server

    Bindner, Donald; Hemmeter, Joe

    2014-01-01

    Presents a clear bridge between mathematics and the liberal arts Mathematics for the Liberal Arts provides a comprehensible and precise introduction to modern mathematics intertwined with the history of mathematical discoveries. The book discusses mathematical ideas in the context of the unfolding story of human thought and highlights the application of mathematics in everyday life. Divided into two parts, Mathematics for the Liberal Arts first traces the history of mathematics from the ancient world to the Middle Ages, then moves on to the Renaissance and finishes with the development of modern mathematics. In the second part, the book explores major topics of calculus and number theory, including problem-solving techniques and real-world applications. This book emphasizes learning through doing, presents a practical approach, and features: A detailed explanation of why mathematical principles are true and how the mathematical processes workNumerous figures and diagrams as well as hundreds of worked example...

  4. Mathematical Footprints Discovering Mathematics Everywhere

    CERN Document Server

    Pappas, Theoni

    1999-01-01

    MATHEMATICAL FOOTPRINTS takes a creative look at the role mathematics has played since prehistoric times, and will play in the future, and uncovers mathematics where you least expect to find it from its many uses in medicine, the sciences, and its appearance in art to its patterns in nature and its central role in the development of computers. Pappas presents mathematical ideas in a readable non-threatening manner. MATHEMATICAL FOOTPRINTS is another gem by the creator of THE MATHEMATICS CALENDAR and author of THE JOY OF MATHEMATICS. "Pappas's books have been gold mines of mathematical ent

  5. Mathematical problems for chemistry students

    CERN Document Server

    Pota, Gyorgy

    2011-01-01

    Mathematical Problems for Chemistry Students has been compiled and written (a) to help chemistrystudents in their mathematical studies by providing them with mathematical problems really occurring in chemistry (b) to help practising chemists to activate their applied mathematical skills and (c) to introduce students and specialistsof the chemistry-related fields (physicists, mathematicians, biologists, etc.) intothe world of the chemical applications.Some problems of the collection are mathematical reformulations of those in the standard textbooks of chemistry, others we

  6. Finite mathematics models and applications

    CERN Document Server

    Morris, Carla C

    2015-01-01

    Features step-by-step examples based on actual data and connects fundamental mathematical modeling skills and decision making concepts to everyday applicability Featuring key linear programming, matrix, and probability concepts, Finite Mathematics: Models and Applications emphasizes cross-disciplinary applications that relate mathematics to everyday life. The book provides a unique combination of practical mathematical applications to illustrate the wide use of mathematics in fields ranging from business, economics, finance, management, operations research, and the life and social sciences.

  7. Network Society

    DEFF Research Database (Denmark)

    Clausen, Lars; Tække, Jesper

    2017-01-01

    the five strands of theory on the network society. Each theoretical position has its specific implications for acting toward strategic goals. In its entirety, the five perspectives give a thorough understanding of the conditions for successful strategic communication in the 21st century....

  8. Network Society

    DEFF Research Database (Denmark)

    Clausen, Lars; Tække, Jesper

    2018-01-01

    the five strands of theory on the network society. Each theoretical position has its specific implications for acting toward strategic goals. In its entirety, the five perspectives give a thorough understanding of the conditions for successful strategic communication in the 21st century....

  9. 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 ...

  10. Interactive Mathematics Textbooks

    DEFF Research Database (Denmark)

    Sinclair, Robert

    1999-01-01

    We claim that important considerations have been overlooked in designinginteractive mathematics educational software in the past.In particular,most previous work has concentrated on how to make use ofpre-existing software in mathematics education, rather than firstasking the more...... fundamentalquestion of which requirements mathematics education puts on software, and thendesigning software to fulfil these requirements.We present a working prototype system which takes a script defining an interactivemathematicaldocument and then provides a reader with an interactive realization of thatdocument....

  11. Mathematical bridges

    CERN Document Server

    Andreescu, Titu; Tetiva, Marian

    2017-01-01

    Building bridges between classical results and contemporary nonstandard problems, Mathematical Bridges embraces important topics in analysis and algebra from a problem-solving perspective. Blending old and new techniques, tactics and strategies used in solving challenging mathematical problems, readers will discover numerous genuine mathematical gems throughout that will heighten their appreciation of the inherent beauty of mathematics. Most of the problems are original to the authors and are intertwined in a well-motivated exposition driven by representative examples. The book is structured to assist the reader in formulating and proving conjectures, as well as devising solutions to important mathematical problems by making connections between various concepts and ideas from different areas of mathematics. Instructors and educators teaching problem-solving courses or organizing mathematics clubs, as well as motivated mathematics students from high school juniors to college seniors, will find Mathematical Bri...

  12. Mathematical Literacy: A new literacy or a new mathematics?

    Directory of Open Access Journals (Sweden)

    Renuka Vithal

    2006-10-01

    Full Text Available Mathematical Literacy is a ‘hot’ topic at present in most countries, whether it is referred to by that name, or in some cases as Numeracy, or Quantitative Literacy, or Matheracy, or as some part of Ethnomathematics, or related to Mathematics in Society. Questions continue to be asked about what is meant by mathematics in any concept of Mathematical Literacy and the use of the very word ‘Literacy’ in its association with Mathematics has been challenged. Its importance, however, lies in changing our perspective on mathematics teaching, away from the elitism so often associated with much mathematics education, and towards a more equitable, accessible and genuinely educational ideal.

  13. Society for Ambulatory Anesthesia

    Science.gov (United States)

    ... SAMBA Link Digital Newsletter Educational Bibliography Research IARS/Anesthesia & Analgesia SCOR About SCOR Sponsor SAMBA Meetings Affinity Sponsor Program We Represent Ambulatory and Office-Based Anesthesia The Society for Ambulatory Anesthesia provides educational opportunities, ...

  14. The role of mathematics in politics as an issue for mathematics teaching

    DEFF Research Database (Denmark)

    Sánchez, Mario; Blomhøj, Morten

    2010-01-01

    This paper presents analyses of some examples of mathematical models used in the Mexican society of today. We seek to justify why and illustrate how such examples can be included in mathematics teaching and in teacher education.......This paper presents analyses of some examples of mathematical models used in the Mexican society of today. We seek to justify why and illustrate how such examples can be included in mathematics teaching and in teacher education....

  15. Berkeley's Philosophy of Mathematics

    CERN Document Server

    Jesseph, Douglas M

    1993-01-01

    In this first modern, critical assessment of the place of mathematics in Berkeley's philosophy and Berkeley's place in the history of mathematics, Douglas M. Jesseph provides a bold reinterpretation of Berkeley's work. Jesseph challenges the prevailing view that Berkeley's mathematical writings are peripheral to his philosophy and argues that mathematics is in fact central to his thought, developing out of his critique of abstraction. Jesseph's argument situates Berkeley's ideas within the larger historical and intellectual context of the Scientific Revolution. Jesseph begins with Berkeley's r

  16. Teaching secondary mathematics

    CERN Document Server

    Rock, David

    2013-01-01

    Solidly grounded in up-to-date research, theory and technology,?Teaching Secondary Mathematics?is a practical, student-friendly, and popular text for secondary mathematics methods courses. It provides clear and useful approaches for mathematics teachers, and shows how concepts typically found in a secondary mathematics curriculum can be taught in a positive and encouraging way. The thoroughly revised fourth edition combines this pragmatic approach with truly innovative and integrated technology content throughout. Synthesized content between the book and comprehensive companion websi

  17. Meaning in mathematics

    CERN Document Server

    2011-01-01

    Is mathematics a highly sophisticated intellectual game in which the adepts display their skill by tackling invented problems, or are mathematicians engaged in acts of discovery as they explore an independent realm of mathematical reality? Why does this seemingly abstract discipline provide the key to unlocking the deep secrets of the physical universe? How one answers these questions will significantly influence metaphysical thinking about reality. This book is intended to fill a gap between popular 'wonders of mathematics' books and the technical writings of the philosophers of mathematics.

  18. Handbook of mathematics

    CERN Document Server

    Kuipers, L

    1969-01-01

    International Series of Monographs in Pure and Applied Mathematics, Volume 99: Handbook of Mathematics provides the fundamental mathematical knowledge needed for scientific and technological research. The book starts with the history of mathematics and the number systems. The text then progresses to discussions of linear algebra and analytical geometry including polar theories of conic sections and quadratic surfaces. The book then explains differential and integral calculus, covering topics, such as algebra of limits, the concept of continuity, the theorem of continuous functions (with examp

  19. Philosophy and mathematics: interactions.

    Science.gov (United States)

    Rashed, Roshdi

    From Plato to the beginnings of the last century, mathematics provided philosophers with methods of exposition, procedures of demonstration, and instruments of analysis. The unprecedented development of mathematics on the one hand, and the mathematicians' appropriation of Logic from the philosophers on the other hand, have given rise to two problems with which the philosophers have to contend: (1) Is there still a place for the philosophy of mathematics? and (2) To what extent is a philosophy of mathematics still possible? This article offers some reflections on these questions, which have preoccupied a good many philosophers and continue to do so.

  20. Advanced engineering mathematics

    CERN Document Server

    Jeffrey, Alan

    2001-01-01

    Advanced Engineering Mathematics provides comprehensive and contemporary coverage of key mathematical ideas, techniques, and their widespread applications, for students majoring in engineering, computer science, mathematics and physics. Using a wide range of examples throughout the book, Jeffrey illustrates how to construct simple mathematical models, how to apply mathematical reasoning to select a particular solution from a range of possible alternatives, and how to determine which solution has physical significance. Jeffrey includes material that is not found in works of a similar nature, such as the use of the matrix exponential when solving systems of ordinary differential equations. The text provides many detailed, worked examples following the introduction of each new idea, and large problem sets provide both routine practice, and, in many cases, greater challenge and insight for students. Most chapters end with a set of computer projects that require the use of any CAS (such as Maple or Mathematica) th...

  1. Mathematics disorder

    Science.gov (United States)

    ... this page: //medlineplus.gov/ency/article/001534.htm Mathematics disorder To use the sharing features on this page, please enable JavaScript. Mathematics disorder is a condition in which a child's ...

  2. Dyslexia, Dyspraxia and Mathematics.

    Science.gov (United States)

    Yeo, Dorian

    This book explores how primary school children with dyslexia or dyspraxia and difficulty in math can learn math and provides practical support and detailed teaching suggestions. It considers cognitive features that underlie difficulty with mathematics generally or with specific aspects of mathematics. It outlines the ways in which children usually…

  3. Mathematical Education for Geographers

    Science.gov (United States)

    Wilson, Alan

    1978-01-01

    Outlines mathematical topics of use to college geography students identifies teaching methods for mathematical techniques in geography at the University of Leeds; and discusses problem of providing students with a framework for synthesizing all content of geography education. For journal availability, see SO 506 593. (Author/AV)

  4. Cryptozoology Society

    Science.gov (United States)

    Richman, Barbara T.

    Reports of Loch Ness monsters, Bigfoot, and the Yeti spring u p from time to time, sparking scientific controversy about the veracity of these observations. Now an organization has been established to help cull, analyze, and disseminate information on the alleged creatures. The International Society of Cryptozoology, formed at a January meeting at the U.S. National Museum of Natural History of the Smithsonian Institution, will serve as the focal point for the investigation, analysis, publication, and discussion of animals of unexpected form or size or of unexpected occurrences in time or space.

  5. Mathematical Chemistry

    OpenAIRE

    Trinajstić, Nenad; Gutman, Ivan

    2002-01-01

    A brief description is given of the historical development of mathematics and chemistry. A path leading to the meeting of these two sciences is described. An attempt is made to define mathematical chemistry, and journals containing the term mathematical chemistry in their titles are noted. In conclusion, the statement is made that although chemistry is an experimental science aimed at preparing new compounds and materials, mathematics is very useful in chemistry, among other things, to produc...

  6. Rainforest Mathematics

    Science.gov (United States)

    Kilpatrick, Jeremy

    2014-01-01

    This paper addresses the contested way that ethnomathematics has sometimes been received by mathematicians and others and what that disagreement might suggest about issues in mathematics education; namely, (a) the relation of ethnomathematics to academic mathematics; (b) recent efforts to reform secondary school mathematics so that it prepares…

  7. A mathematical medley fifty easy pieces on mathematics

    CERN Document Server

    Szpiro, George G

    2010-01-01

    Szpiro's book provides a delightful, well-written, eclectic selection of mathematical tidbits that makes excellent airplane reading for anyone with an interest in mathematics, regardless of their mathematical background. Excellent gift material. -Keith Devlin, Stanford University, author of The Unfinished Game and The Language of Mathematics It is great to have collected in one volume the many varied, insightful and often surprising mathematical stories that George Szpiro has written in his mathematical columns for the newspapers through the years. -Marcus du Sautoy, Oxford University, author

  8. Mathematics and Engineering in Real Life through Mathematical Competitions

    Science.gov (United States)

    More, M.

    2018-01-01

    We bring out an experience of organizing mathematical competitions that can be used as a medium to motivate the student and teacher minds in new directions of thinking. This can contribute to fostering research, innovation and provide a hands-on experience of mathematical concepts with the real world. Mathematical competitions can be used to build…

  9. Mathematical modelling

    DEFF Research Database (Denmark)

    Blomhøj, Morten

    2004-01-01

    Developing competences for setting up, analysing and criticising mathematical models are normally seen as relevant only from and above upper secondary level. The general belief among teachers is that modelling activities presuppose conceptual understanding of the mathematics involved. Mathematical...... roots for the construction of important mathematical concepts. In addition competences for setting up, analysing and criticising modelling processes and the possible use of models is a formative aim in this own right for mathematics teaching in general education. The paper presents a theoretical...... modelling, however, can be seen as a practice of teaching that place the relation between real life and mathematics into the centre of teaching and learning mathematics, and this is relevant at all levels. Modelling activities may motivate the learning process and help the learner to establish cognitive...

  10. Discrete Mathematics

    DEFF Research Database (Denmark)

    Sørensen, John Aasted

    2011-01-01

    The objectives of Discrete Mathematics (IDISM2) are: The introduction of the mathematics needed for analysis, design and verification of discrete systems, including the application within programming languages for computer systems. Having passed the IDISM2 course, the student will be able...... to accomplish the following: -Understand and apply formal representations in discrete mathematics. -Understand and apply formal representations in problems within discrete mathematics. -Understand methods for solving problems in discrete mathematics. -Apply methods for solving problems in discrete mathematics......; construct a finite state machine for a given application. Apply these concepts to new problems. The teaching in Discrete Mathematics is a combination of sessions with lectures and students solving problems, either manually or by using Matlab. Furthermore a selection of projects must be solved and handed...

  11. Mathematical Modeling and Pure Mathematics

    Science.gov (United States)

    Usiskin, Zalman

    2015-01-01

    Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics. The purpose of this article is to illustrate how the mathematical modeling that is present in everyday situations can be naturally embedded in…

  12. Introductory mathematics for earth scientists

    CERN Document Server

    Yang, Xin-She

    2009-01-01

    Any quantitative work in earth sciences requires mathematical analysis and mathematical methods are essential to the modelling and analysis of the geological, geophysical and environmental processes involved. This book provides an introduction to the fundamental mathematics that all earth scientists need.

  13. Theoretical Mathematics

    Science.gov (United States)

    Stöltzner, Michael

    Answering to the double-faced influence of string theory on mathematical practice and rigour, the mathematical physicists Arthur Jaffe and Frank Quinn have contemplated the idea that there exists a `theoretical' mathematics (alongside `theoretical' physics) whose basic structures and results still require independent corroboration by mathematical proof. In this paper, I shall take the Jaffe-Quinn debate mainly as a problem of mathematical ontology and analyse it against the backdrop of two philosophical views that are appreciative towards informal mathematical development and conjectural results: Lakatos's methodology of proofs and refutations and John von Neumann's opportunistic reading of Hilbert's axiomatic method. The comparison of both approaches shows that mitigating Lakatos's falsificationism makes his insights about mathematical quasi-ontology more relevant to 20th century mathematics in which new structures are introduced by axiomatisation and not necessarily motivated by informal ancestors. The final section discusses the consequences of string theorists' claim to finality for the theory's mathematical make-up. I argue that ontological reductionism as advocated by particle physicists and the quest for mathematically deeper axioms do not necessarily lead to identical results.

  14. The pragmatics of mathematics education vagueness and mathematical discourse

    CERN Document Server

    Rowland, Tim

    2003-01-01

    Drawing on philosophy of language and recent linguistic theory, Rowland surveys several approaches to classroom communication in mathematics. Are students intimidated by the nature of mathematics teaching? Many students appear fearful of voicing their understanding - is fear of error part of the linguistics of mathematics? The approaches explored here provide a rationale and a method for exploring and understanding speakers'' motives in classroom mathematics talk. Teacher-student interactions in mathematics are analysed, and this provides a toolkit that teachers can use to respond to the intellectual vulnerability of their students.

  15. Rethinking the mathematics curriculum

    CERN Document Server

    Hoyles, Celia; Woodhouse, Geoffrey

    1998-01-01

    At a time when political interest in mathematics education is at its highest, this book demonstrates that the issues are far from straightforward. A wide range of international contributors address such questions as: What is mathematics, and what is it for? What skills does mathematics education need to provide as technology advances? What are the implications for teacher education? What can we learn from past attempts to change the mathematics curriculum? Rethinking the Mathematics Curriculum offers stimulating discussions, showing much is to be learnt from the differences in culture, national expectations, and political restraints revealed in the book. This accessible book will be of particular interest to policy makers, curriculum developers, educators, researchers and employers as well as the general reader.

  16. Mathematics everywhere

    CERN Document Server

    Aigner, Martin; Spain, Philip G

    2010-01-01

    Mathematics is all around us. Often we do not realize it, though. Mathematics Everywhere is a collection of presentations on the role of mathematics in everyday life, through science, technology, and culture. The common theme is the unique position of mathematics as the art of pure thought and at the same time as a universally applicable science. The authors are renowned mathematicians; their presentations cover a wide range of topics. From compact discs to the stock exchange, from computer tomography to traffic routing, from electronic money to climate change, they make the "math inside" unde

  17. Financial mathematics

    CERN Document Server

    Jothi, A Lenin

    2009-01-01

    Financial services, particularly banking and insurance services is the prominent sector for the development of a nation. After the liberalisation of financial sector in India, the scope of getting career opportunities has been widened. It is heartening to note that various universities in India have introduced professional courses on banking and insurance. A new field of applied mathematics has come into prominence under the name of Financial Mathematics. Financial mathematics has attained much importance in the recent years because of the role played by mathematical concepts in decision - m

  18. Mathematical scandals

    CERN Document Server

    Pappas, Theoni

    1997-01-01

    In this highly readable volume of vignettes of mathematical scandals and gossip, Theoni Pappas assembles 29 fascinating stories of intrigue and the bizarre ? in short, the human background of the history of mathematics. Might a haberdasher have changed Einstein's life? Why was the first woman mathematician murdered? How come there's no Nobel Prize in mathematics?Mathematics is principally about numbers, equations, and solutions, all of them precise and timeless. But, behind this arcane matter lies the sometimes sordid world of real people, whose rivalries and deceptions

  19. The Philosophy of Mathematics Education

    DEFF Research Database (Denmark)

    mathematics education, and the most relevant modern movements in the philosophy of mathematics. A case study is provided of an emerging research tradition in one country. This is the Hermeneutic strand of research in the philosophy of mathematics education in Brazil. This illustrates one orientation towards......This survey provides a brief and selective overview of research in the philosophy of mathematics education. It asks what makes up the philosophy of mathematics education, what it means, what questions it asks and answers, and what is its overall importance and use? It provides overviews of critical...... research inquiry in the philosophy of mathematics education. It is part of a broader practice of ‘philosophical archaeology’: the uncovering of hidden assumptions and buried ideologies within the concepts and methods of research and practice in mathematics education. An extensive bibliography is also...

  20. The Talent Development Middle School. An Elective Replacement Approach to Providing Extra Help in Math--The CATAMA Program (Computer- and Team-Assisted Mathematics Acceleration). Report No. 21.

    Science.gov (United States)

    Mac Iver, Douglas J.; Balfanz, Robert; Plank, Stephen B.

    In Talent Development Middle Schools, students needing extra help in mathematics participate in the Computer- and Team-Assisted Mathematics Acceleration (CATAMA) course. CATAMA is an innovative combination of computer-assisted instruction and structured cooperative learning that students receive in addition to their regular math course for about…

  1. Are Universities Providing Non-STEM Students the Mathematics Preparation Required by Their Programs?: A Case Study of A Quantitative Literacy Pathway and Vertical Alignment from Remediation to Degree Completion

    Science.gov (United States)

    Allen, Charles

    2017-01-01

    Informed by Gagne's belief in the necessity of prerequisite knowledge for new learning, and Bruner's Spiral Curriculum Theory, the objective of this case study was to explore the postsecondary pathway from remedial mathematics, through one gateway mathematics course, and into the quantitative literacy requirements of various non-STEM programs of…

  2. The relationship between learning mathematics and general cognitive ability in primary school.

    Science.gov (United States)

    Cowan, Richard; Hurry, Jane; Midouhas, Emily

    2018-06-01

    Three relationships between learning mathematics and general cognitive ability have been hypothesized: The educational hypothesis that learning mathematics develops general cognitive skills, the psychometric hypothesis that differences in general cognitive ability cause differences in mathematical attainment, and the reciprocal influence hypothesis that developments in mathematical ability and general cognitive ability influence each other. These hypotheses are assessed with a sample of 948 children from the Twins Early Development Study who were assessed at 7, 9, and 10 years on mathematics, English, and general cognitive ability. A cross-lagged path analysis with mathematics and general cognitive ability measures supports the reciprocal influence hypothesis between 7 and 9 and between 9 and 10. A second analysis including English assessments only provides evidence of a reciprocal relationship between 7 and 9. Statement of Contribution What is already known on this subject? The correlations between mathematical attainment, literacy, and measures of general cognitive skills are well established. The role of literacy in developing general cognitive skills is emerging. What the present study adds? Mathematics contributes to the development of general cognitive skills. General cognitive ability contributes to mathematical development between 7 and 10. These findings support the hypothesis of reciprocal influence between mathematics and general cognitive ability, at least between 7 and 9. © 2017 The British Psychological Society.

  3. Mathematical logic

    CERN Document Server

    Kleene, Stephen Cole

    1967-01-01

    Undergraduate students with no prior instruction in mathematical logic will benefit from this multi-part text. Part I offers an elementary but thorough overview of mathematical logic of 1st order. Part II introduces some of the newer ideas and the more profound results of logical research in the 20th century. 1967 edition.

  4. Making Mathematics.

    Science.gov (United States)

    Huckstep, Peter

    2002-01-01

    Contends teachers must resist the temptation to suggest that, while children can create stories and melodies, they cannot create mathematics. Quotes mathematician G. H. Hardy: "A mathematician, like a painter or poet, is a 'maker' of patterns." Considers mathematics should be able to stand up for itself. (BT)

  5. Mathematical psychology.

    Science.gov (United States)

    Batchelder, William H

    2010-09-01

    Mathematical psychology is a sub-field of psychology that started in the 1950s and has continued to grow as an important contributor to formal psychological theory, especially in the cognitive areas of psychology such as learning, memory, classification, choice response time, decision making, attention, and problem solving. In addition, there are several scientific sub-areas that were originated by mathematical psychologists such as the foundations of measurement, stochastic memory models, and psychologically motivated reformulations of expected utility theory. Mathematical psychology does not include all uses of mathematics and statistics in psychology, and indeed there is a long history of such uses especially in the areas of perception and psychometrics. What is most unique about mathematical psychology is its approach to theory construction. While accepting the behaviorist dictum that the data in psychology must be observable and replicable, mathematical models are specified in terms of unobservable formal constructs that can predict detailed aspects of data across multiple experimental and natural settings. By now almost all the substantive areas of cognitive and experimental psychology have formal mathematical models and theories, and many of these are due to researchers that identify with mathematical psychology. Copyright © 2010 John Wiley & Sons, Ltd. For further resources related to this article, please visit the WIREs website. Copyright © 2010 John Wiley & Sons, Ltd.

  6. Mathematics 2

    CERN Document Server

    Kodaira, Kunihiko

    1996-01-01

    This is the translation from the Japanese textbook for the grade 11 course, "General Mathematics". It is part of the easier of the three elective courses in mathematics offered at this level and is taken by about 40% of students. The book covers basic notions of probability and statistics, vectors, exponential, logarithmic, and trigonometric functions, and an introduction to differentiation and integration.

  7. Constructing mathematical knowledge

    CERN Document Server

    Ernest, Paul

    2012-01-01

    This book provides a panorama of complimentary and forward looking perspectives on the learning of mathematics and epistemology from some of the leading contributors to the field. It explores constructivist and social theories of learning, and discusses the role of the computer in the light of these theories. It brings analyses from psychoanalysis, Hermeneutics and other perspectives to bear on the issues of mathematics and learning. It enquires into the nature of enquiry itself, and an important emergent theme is the role of language. Finally it relates the history of mathematics to its te

  8. Mentoring in mathematics education

    CERN Document Server

    Hyde, Rosalyn

    2013-01-01

    Designed to support both teachers and university-based tutors in mentoring pre-service and newly qualified mathematics teachers at both primary and secondary levels, Mentoring Mathematics Teachers offers straightforward practical advice that is based on practice, underpinned by research, and geared specifically towards this challenging subject area.Developed by members of The Association of Mathematics Education Teachers, the authors draw upon the most up-to-date research and theory to provide evidence-based practical guidance. Themes covered include:

  9. Mathematics and Measurement.

    Science.gov (United States)

    Boisvert, R F; Donahue, M J; Lozier, D W; McMichael, R; Rust, B W

    2001-01-01

    In this paper we describe the role that mathematics plays in measurement science at NIST. We first survey the history behind NIST's current work in this area, starting with the NBS Math Tables project of the 1930s. We then provide examples of more recent efforts in the application of mathematics to measurement science, including the solution of ill-posed inverse problems, characterization of the accuracy of software for micromagnetic modeling, and in the development and dissemination of mathematical reference data. Finally, we comment on emerging issues in measurement science to which mathematicians will devote their energies in coming years.

  10. Applied impulsive mathematical models

    CERN Document Server

    Stamova, Ivanka

    2016-01-01

    Using the theory of impulsive differential equations, this book focuses on mathematical models which reflect current research in biology, population dynamics, neural networks and economics. The authors provide the basic background from the fundamental theory and give a systematic exposition of recent results related to the qualitative analysis of impulsive mathematical models. Consisting of six chapters, the book presents many applicable techniques, making them available in a single source easily accessible to researchers interested in mathematical models and their applications. Serving as a valuable reference, this text is addressed to a wide audience of professionals, including mathematicians, applied researchers and practitioners.

  11. First aid in mathematics

    CERN Document Server

    Sulley, Robert

    2014-01-01

    Achieve the best possible standard with this bestselling book of traditional practice and guidance - now in colour!. First Aid in Mathematics provides all the help and support needed for learning and practising Mathematics. It offers comprehensive coverage of core mathematical topics in clear and accessible language. It is suitable for both native English speakers and students of English as a second language and can be used in class, or as a reference and revision book. - Develops a strong basis of understanding with core topics covered in clear and accessible language. - Improves student's ab

  12. Fundamentals of university mathematics

    CERN Document Server

    McGregor, C M; Stothers, W W

    2010-01-01

    The third edition of this popular and effective textbook provides in one volume a unified treatment of topics essential for first year university students studying for degrees in mathematics. Students of computer science, physics and statistics will also find this book a helpful guide to all the basic mathematics they require. It clearly and comprehensively covers much of the material that other textbooks tend to assume, assisting students in the transition to university-level mathematics.Expertly revised and updated, the chapters cover topics such as number systems, set and functions, differe

  13. Discrete Mathematics

    DEFF Research Database (Denmark)

    Sørensen, John Aasted

    2011-01-01

    ; construct a finite state machine for a given application. Apply these concepts to new problems. The teaching in Discrete Mathematics is a combination of sessions with lectures and students solving problems, either manually or by using Matlab. Furthermore a selection of projects must be solved and handed...... to accomplish the following: -Understand and apply formal representations in discrete mathematics. -Understand and apply formal representations in problems within discrete mathematics. -Understand methods for solving problems in discrete mathematics. -Apply methods for solving problems in discrete mathematics...... to new problems. Relations and functions: Define a product set; define and apply equivalence relations; construct and apply functions. Apply these concepts to new problems. Natural numbers and induction: Define the natural numbers; apply the principle of induction to verify a selection of properties...

  14. Mathematics unbound

    CERN Document Server

    Parshall, Karen Hunger

    2002-01-01

    Although today's mathematical research community takes its international character very much for granted, this "global nature" is relatively recent, having evolved over a period of roughly 150 years-from the beginning of the nineteenth century to the middle of the twentieth century. During this time, the practice of mathematics changed from being centered on a collection of disparate national communities to being characterized by an international group of scholars for whom the goal of mathematical research and cooperation transcended national boundaries. Yet, the development of an international community was far from smooth and involved obstacles such as war, political upheaval, and national rivalries. Until now, this evolution has been largely overlooked by historians and mathematicians alike. This book addresses the issue by bringing together essays by twenty experts in the history of mathematics who have investigated the genesis of today's international mathematical community. This includes not only develo...

  15. VEDIC MATHEMATICS

    Directory of Open Access Journals (Sweden)

    Sead Rešić

    2015-09-01

    Full Text Available It is very difficult to motivate students when it comes to a school subject like Mathematics. Teachers spend a lot of time trying to find something that will arouse interest in students. It is particularly difficult to find materials that are motivating enough for students that they eagerly wait for the next lesson. One of the solutions may be found in Vedic Mathematics. Traditional methods of teaching Mathematics create fear of this otherwise interesting subject in the majority of students. Fear increases failure. Often the traditional, conventional mathematical methods consist of very long lessons which are difficult to understand. Vedic Mathematics is an ancient system that is very flexible and encourages the development of intuition and innovation. It is a mental calculating tool that does not require a calculator because the calculator is embedded in each of us. Starting from the above problems of fear and failure in Mathematics, the goal of this paper is to do research with the control and the experimental group and to compare the test results. Two tests should be done for each of the groups. The control group would do the tests in the conventional way. The experimental group would do the first test in a conventional manner and then be subjected to different treatment, that is to say, be taught on the basis of Vedic Mathematics. After that, the second group would do the second test according to the principles of Vedic Mathematics. Expectations are that after short lectures on Vedic mathematics results of the experimental group would improve and that students will show greater interest in Mathematics.

  16. Mathematical methods for physicists

    CERN Document Server

    Arfken, George B

    2005-01-01

    This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition.* Updates the leading graduate-level text in mathematical physics* Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering* Focuses on problem-solving skills and offers a vast array of exercises * Clearly illustrates and proves mathematical relationsNew in the Sixth Edition:* Updated content throughout, based on users'' feedback * More advanced sections, including differential forms and the elegant forms of Maxwell''s equations* A new chapter on probability and statistics* More elementary sections have been deleted

  17. Mathematics for energy

    International Nuclear Information System (INIS)

    Snow, D.R.

    1975-01-01

    This paper provides mathematicians and other persons interested in energy problems with some ideas of the kinds of mathematics being applied and a few ideas for further investigation both in the relevant mathematics and in mathematical modeling. This paper is not meant to be an extensive bibliography on the subject, but references are provided. The Conference emphasized large scale and economic considerations related to energy rather than specific technologies, but additional mathematical problems arising in current and future technologies are suggested. Several of the papers dealt with linear programming models of large scale systems related to energy. These included economic models, policy models, energy sector models for supply and demand and environmental concerns. One of the economic models utilized variational techniques including such things as the Hamiltonian, the Euler-Lagrange differential equation, transversality and natural boundary conditions

  18. Mathematical Modelling of Surfactant Self-assembly at Interfaces

    KAUST Repository

    Morgan, C. E.; Breward, C. J. W.; Griffiths, I. M.; Howell, P. D.

    2015-01-01

    © 2015 Society for Industrial and Applied Mathematics. We present a mathematical model to describe the distribution of surfactant pairs in a multilayer structure beneath an adsorbed monolayer. A mesoscopic model comprising a set of ordinary

  19. The 24-Hour Mathematical Modeling Challenge

    Science.gov (United States)

    Galluzzo, Benjamin J.; Wendt, Theodore J.

    2015-01-01

    Across the mathematics curriculum there is a renewed emphasis on applications of mathematics and on mathematical modeling. Providing students with modeling experiences beyond the ordinary classroom setting remains a challenge, however. In this article, we describe the 24-hour Mathematical Modeling Challenge, an extracurricular event that exposes…

  20. Mathematical Modeling: A Bridge to STEM Education

    Science.gov (United States)

    Kertil, Mahmut; Gurel, Cem

    2016-01-01

    The purpose of this study is making a theoretical discussion on the relationship between mathematical modeling and integrated STEM education. First of all, STEM education perspective and the construct of mathematical modeling in mathematics education is introduced. A review of literature is provided on how mathematical modeling literature may…

  1. Applied Mathematics Should Be Taught Mixed.

    Science.gov (United States)

    Brown, Gary I.

    1994-01-01

    Discusses the differences between applied and pure mathematics and provides extensive history of mixed mathematics. Argues that applied mathematics should be taught allowing for speculative mathematics, which involves breaking down a given problem into simpler parts until one arrives at first principles. (ASK)

  2. An invitation to critical mathematics education

    DEFF Research Database (Denmark)

    Skovsmose, Ole

    An Invitation to Critical Mathematics Education deals with a range of crucial topics. Among these are students’ foreground, landscapes of investigation, and mathematics in action. The book is intended for a broad audience: educators, students, teachers, policy makers, anybody interested...... in the further development of mathematics education. The book discusses concerns and preoccupation. This way it provides an invitation into critical mathematics education....

  3. Science and Society Test for Scientists: Transportation

    Science.gov (United States)

    Hafemeister, David

    1976-01-01

    Presents numerous questions concerning transportation systems, energy consumption, noise, air pollution and other transportation oriented topics. Solutions are provided using undergraduate pre-calculus mathematics. (CP)

  4. Reassembling mathematical practices: a philosophicalanthropological approach

    Directory of Open Access Journals (Sweden)

    Karen François

    2016-06-01

    Full Text Available In this paper we first explore how Wittgenstein’s philosophy provides a conceptual tools to discuss the possibility of the simultaneous existence of culturally different mathematical practices. We will argue that Wittgenstein’s later work will be a fruitful framework to serve as a philosophical background to investigate ethnomathematics (Wittgenstein 1973. We will give an overview of Wittgenstein’s later work which is referred to by many researchers in the field of ethnomathematics. The central philosophical investigation concerns Wittgenstein’s shift to abandoning the essentialist concept of language and therefore denying the existence of a universal language. Languages—or ‘language games’ as Wittgenstein calls them—are immersed in a form of life, in a cultural or social formation and are embedded in the totality of communal activities. This gives rise to the idea of rationality as an invention or as a construct that emerges in specific local contexts. In the second part of the paper we introduce, analyse and compare the mathematical aspects of two activities known as string figure-making and sand drawing, to illustrate Wittgenstein’s ideas. Based on an ethnomathematical comparative analysis, we will argue that there is evidence of invariant and distinguishing features of a mathematical rationality, as expressed in both string figure-making and sand drawing practices, from one society to another. Finally, we suggest that a philosophical-anthropological approach to mathematical practices may allow us to better understand the interrelations between mathematics and cultures. Philosophical investigations may help the reflection on the possibility of culturally determined ethnomathematics, while an anthropological approach, using ethnographical methods, may afford new materials for the analysis of ethnomathematics and its links to the cultural context. This combined approach will help us to better characterize mathematical

  5. Engineering mathematics

    CERN Document Server

    Bird, John

    2014-01-01

    A practical introduction to the core mathematics required for engineering study and practiceNow in its seventh edition, Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams.John Bird's approach is based on worked examples and interactive problems. This makes it ideal for students from a wide range of academic backgrounds as the student can work through the material at their own pace. Mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure

  6. Mathematical physics

    CERN Document Server

    Geroch, Robert

    1985-01-01

    Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space. Geroch uses category theory to emphasize both the interrelationships among different structures and the unity of mathematics. Perhaps the most valuable feature of the book is the illuminating intuitive discussion of the ""whys"" of proofs and of axioms and definitions. This book, based on Geroch's University of Chicago course, will be especially helpful to those working in theoretical physics, including such areas as relativity, particle

  7. Applied mathematics

    CERN Document Server

    Logan, J David

    2013-01-01

    Praise for the Third Edition"Future mathematicians, scientists, and engineers should find the book to be an excellent introductory text for coursework or self-study as well as worth its shelf space for reference." -MAA Reviews Applied Mathematics, Fourth Edition is a thoroughly updated and revised edition on the applications of modeling and analyzing natural, social, and technological processes. The book covers a wide range of key topics in mathematical methods and modeling and highlights the connections between mathematics and the applied and nat

  8. Speed mathematics

    CERN Document Server

    Handley, Bill

    2012-01-01

    This new, revised edition of the bestselling Speed Mathematics features new chapters on memorising numbers and general information, calculating statistics and compound interest, square roots, logarithms and easy trig calculations. Written so anyone can understand, this book teaches simple strategies that will enable readers to make lightning-quick calculations. People who excel at mathematics use better strategies than the rest of us; they are not necessarily more intelligent. With Speed Mathematics you'll discover methods to make maths easy and fun. This book is perfect for stud

  9. Difference, inclusion, and mathematics education

    DEFF Research Database (Denmark)

    Figueiras, Lourdes; Healy, Lulu; Skovsmose, Ole

    2016-01-01

    The round-table discussion on Difference, Inclusion and Mathematics Education was in included in the scientific programme of VI SIPEM in recognition and celebration of the emerging body of research into the challenges of building a culture of mathematics education which values and respects...... the diversity of learners in different educational contexts – in Brazil and beyond. This paper presents the contributions to the discussion, which focus on the problematisation of the term “inclusion”, explorations of how the practices of previously marginalized students can bring new resources to the teaching...... and learning of mathematics and reflections upon the potentially discriminatory nature of the structures which currently mould school mathematics. The paper aims to serve as material for the developing research agenda of the thirteenth working group of the Brazilian Society of Mathematics Education, which met...

  10. Mathematization in introductory physics

    Science.gov (United States)

    Brahmia, Suzanne M.

    Mathematization is central to STEM disciplines as a cornerstone of the quantitative reasoning that characterizes these fields. Introductory physics is required for most STEM majors in part so that students develop expert-like mathematization. This dissertation describes coordinated research and curriculum development for strengthening mathematization in introductory physics; it blends scholarship in physics and mathematics education in the form of three papers. The first paper explores mathematization in the context of physics, and makes an original contribution to the measurement of physics students' struggle to mathematize. Instructors naturally assume students have a conceptual mastery of algebra before embarking on a college physics course because these students are enrolled in math courses beyond algebra. This paper provides evidence that refutes the validity of this assumption and categorizes some of the barriers students commonly encounter with quantification and representing ideas symbolically. The second paper develops a model of instruction that can help students progress from their starting points to their instructor's desired endpoints. Instructors recognize that the introductory physics course introduces new ideas at an astonishing rate. More than most physicists realize, however, the way that mathematics is used in the course is foreign to a large portion of class. This paper puts forth an instructional model that can move all students toward better quantitative and physical reasoning, despite the substantial variability of those students' initial states. The third paper describes the design and testing of curricular materials that foster mathematical creativity to prepare students to better understand physics reasoning. Few students enter introductory physics with experience generating equations in response to specific challenges involving unfamiliar quantities and units, yet this generative use of mathematics is typical of the thinking involved in

  11. Producing Civil Society

    DEFF Research Database (Denmark)

    Feldt, Liv Egholm; Hein Jessen, Mathias

    Since the beginning of the 1990’s, civil society has attracted both scholarly and political interest as the ‘third sphere’ outside the state and the market not only a normatively privileged site of communication and ‘the public sphere’, but also as a resource for democratization processes...... and social cohesion, as well as a provider of welfare services from a welfare state in dire straits. However, such a view upholds a sharp distinction between the three sectors and their distinct logic. This article claims that the separation of spheres is a fundamental part of our ‘social imaginary......’ and as such dominates our way of thinking about civil society. Yet, this view hinders the understanding of how civil society is not a pre-existing or given sphere, but a sphere which is constantly produced both discursively, conceptually and practically. Through two examples; 1,the case of philanthropy in the beginning...

  12. Construction mathematics

    CERN Document Server

    Virdi, Surinder; Virdi, Narinder Kaur

    2014-01-01

    Construction Mathematics is an introductory level mathematics text, written specifically for students of construction and related disciplines. Learn by tackling exercises based on real-life construction maths. Examples include: costing calculations, labour costs, cost of materials and setting out of building components. Suitable for beginners and easy to follow throughout. Learn the essential basic theory along with the practical necessities. The second edition of this popular textbook is fully updated to match new curricula, and expanded to include even more learning exercises. End of chapter exercises cover a range of theoretical as well as practical problems commonly found in construction practice, and three detailed assignments based on practical tasks give students the opportunity to apply all the knowledge they have gained. Construction Mathematics addresses all the mathematical requirements of Level 2 construction NVQs from City & Guilds/CITB and Edexcel courses, including the BTEC First Diploma in...

  13. Mathematical physiology

    CERN Document Server

    Sneyd, James

    2009-01-01

    There has been a long history of interaction between mathematics and physiology. This book looks in detail at a wide selection of mathematical models in physiology, showing how physiological problems can be formulated and studied mathematically, and how such models give rise to interesting and challenging mathematical questions. With its coverage of many recent models it gives an overview of the field, while many older models are also discussed, to put the modern work in context. In this second edition the coverage of basic principles has been expanded to include such topics as stochastic differential equations, Markov models and Gibbs free energy, and the selection of models has also been expanded to include some of the basic models of fluid transport, respiration/perfusion, blood diseases, molecular motors, smooth muscle, neuroendrocine cells, the baroreceptor loop, turboglomerular oscillations, blood clotting and the retina. Owing to this extensive coverage, the second edition is published in two volumes. ...

  14. Mathematical modeling

    CERN Document Server

    Eck, Christof; Knabner, Peter

    2017-01-01

    Mathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena. At the same time a wealth of important examples for the abstract concepts treated in the curriculum of mathematics degrees are given. An essential feature of this book is that mathematical structures are used as an ordering principle and not the fields of application. Methods from linear algebra, analysis and the theory of ordinary and partial differential equations are thoroughly introduced and applied in the modeling process. Examples of applications in the fields electrical networks, chemical reaction dynamics, population dynamics, fluid dynamics, elasticity theory and crystal growth are treated comprehensively.

  15. Mathematics revealed

    CERN Document Server

    Berman, Elizabeth

    1979-01-01

    Mathematics Revealed focuses on the principles, processes, operations, and exercises in mathematics.The book first offers information on whole numbers, fractions, and decimals and percents. Discussions focus on measuring length, percent, decimals, numbers as products, addition and subtraction of fractions, mixed numbers and ratios, division of fractions, addition, subtraction, multiplication, and division. The text then examines positive and negative numbers and powers and computation. Topics include division and averages, multiplication, ratios, and measurements, scientific notation and estim

  16. Discrete Mathematics

    DEFF Research Database (Denmark)

    Sørensen, John Aasted

    2010-01-01

    The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Spring 2010 Ectent: 5 ects Class size: 18......The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Spring 2010 Ectent: 5 ects Class size: 18...

  17. Discrete Mathematics

    DEFF Research Database (Denmark)

    Sørensen, John Aasted

    2010-01-01

    The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Autumn 2010 Ectent: 5 ects Class size: 15......The introduction of the mathematics needed for analysis, design and verification of discrete systems, including applications within programming languages for computer systems. Course sessions and project work. Semester: Autumn 2010 Ectent: 5 ects Class size: 15...

  18. Mathematics for multimedia

    CERN Document Server

    Wickerhauser, Mladen Victor

    2003-01-01

    Mathematics and Multimedia focuses on the mathematics behind multimedia applications. This timely and thoroughly modern text is a rigorous survey of selected results from algebra and analysis, requiring only undergraduate math skills.The topics are `gems' chosen for their usefulness in understanding and creating application software for multimedia signal processing and communication.The book is aimed at a wide audience, including computer science and mathematics majors and those interested in employing mathematics in multimedia design and implementation. For the instructor, the material is divided into six chapters that may be presented in six lecture hours each. Thus, the entire text may be covered in one semester, with time left for examinations and student projects. For the student,there are more than 100 exercises with complete solutions, and numerous example programs in Standard C. Each chapter ends with suggestions for further reading. A companion website provides more insight for both instructors and s...

  19. Mathematics for physical chemistry

    CERN Document Server

    Mortimer, Robert G

    2005-01-01

    Mathematics for Physical Chemistry, Third Edition, is the ideal text for students and physical chemists who want to sharpen their mathematics skills. It can help prepare the reader for an undergraduate course, serve as a supplementary text for use during a course, or serve as a reference for graduate students and practicing chemists. The text concentrates on applications instead of theory, and, although the emphasis is on physical chemistry, it can also be useful in general chemistry courses. The Third Edition includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The first ten chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. The final chapter discusses mathematical topics needed in the analysis of experimental data.* Numerous examples and problems interspersed throughout the presentations * Each extensive chapter contains a preview, objectives, and ...

  20. Mathematical analysis II

    CERN Document Server

    Canuto, Claudio

    2015-01-01

    The purpose of the volume is to provide a support textbook for a second lecture course on Mathematical Analysis. The contents are organised to suit, in particular, students of Engineering, Computer Science and Physics, all areas in which mathematical tools play a crucial role. The basic notions and methods concerning integral and differential calculus for multivariable functions, series of functions and ordinary differential equations are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The pedagogical layout echoes the one used in the companion text Mathematical Analysis I. The book’s structure has a specifically-designed modular nature, which allows for great flexibility in the preparation of a lecture course on Mathematical Analysis. The style privileges clarity in the exposition and a linear progression through the theory. The material is organised on two levels. The first, reflected in this book, allows students to grasp the essential ideas, ...

  1. Exploratory of society

    Science.gov (United States)

    Cederman, L.-E.; Conte, R.; Helbing, D.; Nowak, A.; Schweitzer, F.; Vespignani, A.

    2012-11-01

    A huge flow of quantitative social, demographic and behavioral data is becoming available that traces the activities and interactions of individuals, social patterns, transportation infrastructures and travel fluxes. This has caused, together with innovative computational techniques and methods for modeling social actions in hybrid (natural and artificial) societies, a qualitative change in the ways we model socio-technical systems. For the first time, society can be studied in a comprehensive fashion that addresses social and behavioral complexity. In other words we are in the position to envision the development of large data and computational cyber infrastructure defining an exploratory of society that provides quantitative anticipatory, explanatory and scenario analysis capabilities ranging from emerging infectious disease to conflict and crime surges. The goal of the exploratory of society is to provide the basic infrastructure embedding the framework of tools and knowledge needed for the design of forecast/anticipatory/crisis management approaches to socio technical systems, supporting future decision making procedures by accelerating the scientific cycle that goes from data generation to predictions.

  2. Continuum mechanics the birthplace of mathematical models

    CERN Document Server

    Allen, Myron B

    2015-01-01

    Continuum mechanics is a standard course in many graduate programs in engineering and applied mathematics as it provides the foundations for the various differential equations and mathematical models that are encountered in fluid mechanics, solid mechanics, and heat transfer.  This book successfully makes the topic more accessible to advanced undergraduate mathematics majors by aligning the mathematical notation and language with related courses in multivariable calculus, linear algebra, and differential equations; making connections with other areas of applied mathematics where parial differe

  3. Effects of Mathematics Anxiety and Mathematical Metacognition on Word Problem Solving in Children with and without Mathematical Learning Difficulties.

    Directory of Open Access Journals (Sweden)

    Yinghui Lai

    Full Text Available Mathematics is one of the most objective, logical, and practical academic disciplines. Yet, in addition to cognitive skills, mathematical problem solving also involves affective factors. In the current study, we first investigated effects of mathematics anxiety (MA and mathematical metacognition on word problem solving (WPS. We tested 224 children (116 boys, M = 10.15 years old, SD = 0.56 with the Mathematics Anxiety Scale for Children, the Chinese Revised-edition Questionnaire of Pupil's Metacognitive Ability in Mathematics, and WPS tasks. The results indicated that mathematical metacognition mediated the effect of MA on WPS after controlling for IQ. Second, we divided the children into four mathematics achievement groups including high achieving (HA, typical achieving (TA, low achieving (LA, and mathematical learning difficulty (MLD. Because mathematical metacognition and MA predicted mathematics achievement, we compared group differences in metacognition and MA with IQ partialled out. The results showed that children with MLD scored lower in self-image and higher in learning mathematics anxiety (LMA than the TA and HA children, but not in mathematical evaluation anxiety (MEA. MLD children's LMA was also higher than that of their LA counterparts. These results provide insight into factors that may mediate poor WPS performance which emerges under pressure in mathematics. These results also suggest that the anxiety during learning mathematics should be taken into account in mathematical learning difficulty interventions.

  4. Effects of Mathematics Anxiety and Mathematical Metacognition on Word Problem Solving in Children with and without Mathematical Learning Difficulties.

    Science.gov (United States)

    Lai, Yinghui; Zhu, Xiaoshuang; Chen, Yinghe; Li, Yanjun

    2015-01-01

    Mathematics is one of the most objective, logical, and practical academic disciplines. Yet, in addition to cognitive skills, mathematical problem solving also involves affective factors. In the current study, we first investigated effects of mathematics anxiety (MA) and mathematical metacognition on word problem solving (WPS). We tested 224 children (116 boys, M = 10.15 years old, SD = 0.56) with the Mathematics Anxiety Scale for Children, the Chinese Revised-edition Questionnaire of Pupil's Metacognitive Ability in Mathematics, and WPS tasks. The results indicated that mathematical metacognition mediated the effect of MA on WPS after controlling for IQ. Second, we divided the children into four mathematics achievement groups including high achieving (HA), typical achieving (TA), low achieving (LA), and mathematical learning difficulty (MLD). Because mathematical metacognition and MA predicted mathematics achievement, we compared group differences in metacognition and MA with IQ partialled out. The results showed that children with MLD scored lower in self-image and higher in learning mathematics anxiety (LMA) than the TA and HA children, but not in mathematical evaluation anxiety (MEA). MLD children's LMA was also higher than that of their LA counterparts. These results provide insight into factors that may mediate poor WPS performance which emerges under pressure in mathematics. These results also suggest that the anxiety during learning mathematics should be taken into account in mathematical learning difficulty interventions.

  5. Effects of Mathematics Anxiety and Mathematical Metacognition on Word Problem Solving in Children with and without Mathematical Learning Difficulties

    Science.gov (United States)

    Lai, Yinghui; Zhu, Xiaoshuang; Chen, Yinghe; Li, Yanjun

    2015-01-01

    Mathematics is one of the most objective, logical, and practical academic disciplines. Yet, in addition to cognitive skills, mathematical problem solving also involves affective factors. In the current study, we first investigated effects of mathematics anxiety (MA) and mathematical metacognition on word problem solving (WPS). We tested 224 children (116 boys, M = 10.15 years old, SD = 0.56) with the Mathematics Anxiety Scale for Children, the Chinese Revised-edition Questionnaire of Pupil’s Metacognitive Ability in Mathematics, and WPS tasks. The results indicated that mathematical metacognition mediated the effect of MA on WPS after controlling for IQ. Second, we divided the children into four mathematics achievement groups including high achieving (HA), typical achieving (TA), low achieving (LA), and mathematical learning difficulty (MLD). Because mathematical metacognition and MA predicted mathematics achievement, we compared group differences in metacognition and MA with IQ partialled out. The results showed that children with MLD scored lower in self-image and higher in learning mathematics anxiety (LMA) than the TA and HA children, but not in mathematical evaluation anxiety (MEA). MLD children’s LMA was also higher than that of their LA counterparts. These results provide insight into factors that may mediate poor WPS performance which emerges under pressure in mathematics. These results also suggest that the anxiety during learning mathematics should be taken into account in mathematical learning difficulty interventions. PMID:26090806

  6. [Mathematics - astronomy - astrology special library].

    Science.gov (United States)

    Gluch, Sibylle

    2011-01-01

    About 1560 Elector August of Saxony created an unusual library--one distinguished within its period by both its specialization and location. Situated within the Kunstkammer this library was mostly dedicated to the mathematical sciences and related disciplines. It contained works by the most important authors on mathematics, astronomy, and astrology from the classical, medieval, and early modern periods. This essay traces the formation and composition of August's library, and examines its function: What kind of relationship existed between the library and the Kunstkammer? In what way did the library mirror the interests of the Elector, and to what extend does it permit inferences regarding the Elector's knowledge of mathematics? From the analysis August emerges not as a specialist with a deep understanding of mathematics, but as a particular aficionado of mathematical applications. As a practitioner and general follower of the mathematical arts he took part in a far-reaching intellectual network the center of which lay in the University of Wittenberg. Here, Melanchthon had effectively strengthened the importance of the mathematical disciplines within the university curriculum. He regarded mathematics as the foremost science, arguing that before all other disciplines its method enabled man to recognize the harmonic order of the world, and to discern divine providence. Thus, mathematics offered consoling stability and support in an often seemingly chaotic world torn by religious controversies. This kind of esteem for the mathematical sciences did not presuppose expert knowledge. Hence, the fact that August does not appear to have read the mathematical books he collected does not come as a contradiction. On the contrary, for August it sufficed to recognize the potential of the mathematical sciences, which he brought into life through the creation of a specialized library that developed a rhetoric of its own. The collection of his Kunstkammer library spoke of a

  7. Mathematics for the Student Scientist

    Science.gov (United States)

    Lauten, A. Darien; Lauten, Gary N.

    1998-03-01

    The Earth Day:Forest Watch Program, introduces elementary, middle, and secondary students to field laboratory, and satellite-data analysis methods for assessing the health of Eastern White Pine ( Pinus strobus). In this Student-Scientist Partnership program, mathematics, as envisioned in the NCTM Standards, arises naturally and provides opportunities for science-mathematics interdisciplinary student learning. School mathematics becomes the vehicle for students to quantify, represent, analyze, and interpret meaningful, real data.

  8. 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.

  9. 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.

  10. Mathematical writing

    CERN Document Server

    Vivaldi, Franco

    2014-01-01

    This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student.   The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics. Writing techniques are developed gradually, from the small to the large: words, phrases, sentences, paragraphs, to end with short compositions. These may represent the introduction of a concept, the abstract of a presentation or the proof of a theorem. Along the way the student will learn how to establish a coherent notation, mix words and symbols effectively, write neat formulae, and structure a definition.   Some elements of logic and all common methods of proofs are featured, including various versions of induction and existence proofs. The book concludes with advice on specific aspects of thesis writing (choosing of a title, composing an abstract, compiling a bibliography) illustrated by large number of real-life examples. Many exercises are included; over 150...

  11. Physical mathematics

    CERN Document Server

    Cahill, Kevin

    2013-01-01

    Unique in its clarity, examples and range, Physical Mathematics explains as simply as possible the mathematics that graduate students and professional physicists need in their courses and research. The author illustrates the mathematics with numerous physical examples drawn from contemporary research. In addition to basic subjects such as linear algebra, Fourier analysis, complex variables, differential equations and Bessel functions, this textbook covers topics such as the singular-value decomposition, Lie algebras, the tensors and forms of general relativity, the central limit theorem and Kolmogorov test of statistics, the Monte Carlo methods of experimental and theoretical physics, the renormalization group of condensed-matter physics and the functional derivatives and Feynman path integrals of quantum field theory.

  12. Teaching Mathematics That Addresses Learners' Multiple Intelligences

    Science.gov (United States)

    Gouws, E.; Dicker, A-M.

    2011-01-01

    To meet the demands of our highly technological and globally competitive society, it is becoming increasingly important for all learners in South Africa to obtain skills and knowledge in mathematics. However, South Africa performed the worst of all the countries who participated in the Trends in International Mathematics and Science Study (TIMMS).…

  13. Stereotype Endorsement And Mathematics-Related Behaviour ...

    African Journals Online (AJOL)

    By endorsing the stereotypic belief that Mathematics is a male-only subject, some females accept the limitation placed on them by the gendering process and this inhibits the identification, development and utilization of their Mathematics ability for the development of self and the society. To determine the extent and effect of ...

  14. Research in Mathematics Education and Language

    Science.gov (United States)

    Planas, Núria

    2016-01-01

    A synthesis of reasons for the production of this monograph is presented with a focus on contemporary research in the context of the Ninth Congress of the European Society for Research in Mathematics Education. Within the domain of mathematics and language, three lines of concern are addressed: (1) classroom discourse, (2) language diversity, and…

  15. Mathematical Lives

    CERN Document Server

    Bartocci, Claudio; Guerraggio, Angelo; Lucchetti, Roberto; Williams, Kim

    2011-01-01

    Steps forward in mathematics often reverberate in other scientific disciplines, and give rise to innovative conceptual developments or find surprising technological applications. This volume brings to the forefront some of the proponents of the mathematics of the twentieth century, who have put at our disposal new and powerful instruments for investigating the reality around us. The portraits present people who have impressive charisma and wide-ranging cultural interests, who are passionate about defending the importance of their own research, are sensitive to beauty, and attentive to the soci

  16. Improving University Students' Perception of Mathematics and Mathematics Ability

    Directory of Open Access Journals (Sweden)

    Shelly L. Wismath

    2015-01-01

    Full Text Available Although mathematical and quantitative reasoning skills are an essential part of adult life in our society, many students arrive at post-secondary education without such skills. Taking a standard mathematics course such as calculus may do little to improve those skills. Using a modification of the Tapia & Marsh questionnaire, we surveyed 62 students taking a broad quantitative reasoning course designed to develop quantitative skills, with respect to two broad attitudinal areas: students’ perception of their own ability, confidence and anxiety, and their perception of the value of mathematics in their studies and their lives. Pre- to post-course comparisons were done by both paired t-tests and Wilcoxon signed-rank tests. Our results showed a significant increase in confidence and decrease in anxiety, while perception of the value of mathematics was already high and changed little by the end of the course.

  17. The Joy of Mathematics Discovering Mathematics All Around You

    CERN Document Server

    Pappas, Theoni

    1993-01-01

    Part of the joy of mathematics is that it is everywhere-in soap bubbles, electricity, da Vinci's masterpieces, even in an ocean wave. Written by the well-known mathematics teacher consultant, this volume's collection of over 200 clearly illustrated mathematical ideas, concepts, puzzles, and games shows where they turn up in the "real" world. You'll find out what a googol is, visit hotel infinity, read a thorny logic problem that was stumping them back in the 8th century. THE JOY OF MATHEMATICS is designed to be opened at random…it's mini essays are self-contained providing the reader

  18. Mathematical olympiad challenges

    CERN Document Server

    Andreescu, Titu

    2000-01-01

    Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory were selected from numerous mathematical competitions and journals. An important feature of the work is the comprehensive background material provided with each grouping of problems. The problems are clustered by topic into self-contained sections with solutions provided separately. All sections start with an essay discussing basic facts and one or two representative examples. A list of carefully chosen problems follows and the reader is invited to take them on. Additionally, historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on encouraging readers to move away from routine exercises and memorized algorithms toward creative solutions to open-e...

  19. Quotable Quotes in Mathematics

    Science.gov (United States)

    Lo, Bruce W. N.

    1983-01-01

    As a way to dispel negative feelings toward mathematics, a variety of quotations are given. They are categorized by: what mathematics is, mathematicians, mathematics and other disciplines, different areas of mathematics, mathematics and humor, applications of mathematics, and pure versus applied mathematics. (MNS)

  20. I. SPATIAL SKILLS, THEIR DEVELOPMENT, AND THEIR LINKS TO MATHEMATICS.

    Science.gov (United States)

    Verdine, Brian N; Golinkoff, Roberta Michnick; Hirsh-Pasek, Kathy; Newcombe, Nora S

    2017-03-01

    Understanding the development of spatial skills is important for promoting school readiness and improving overall success in STEM (science, technology, engineering, and mathematics) fields (e.g., Wai, Lubinski, Benbow, & Steiger, 2010). Children use their spatial skills to understand the world, including visualizing how objects fit together, and can practice them via spatial assembly activities (e.g., puzzles or blocks). These skills are incorporated into measures of overall intelligence and have been linked to success in subjects like mathematics (Mix & Cheng, 2012) and science (Pallrand & Seeber, 1984; Pribyl & Bodner, 1987). This monograph sought to answer four questions about early spatial skill development: 1) Can we reliably measure spatial skills in 3- and 4-year-olds?; 2) Do spatial skills measured at 3 predict spatial skills at age 5?; 3) Do preschool spatial skills predict mathematics skills at age 5?; and 4) What factors contribute to individual differences in preschool spatial skills (e.g., SES, gender, fine-motor skills, vocabulary, and executive function)? Longitudinal data generated from a new spatial skill test for 3-year-old children, called the TOSA (Test of Spatial Assembly), show that it is a reliable and valid measure of early spatial skills that provides strong prediction to spatial skills measured with established tests at age 5. New data using this measure finds links between early spatial skill and mathematics, language, and executive function skills. Analyses suggest that preschool spatial experiences may play a central role in children's mathematical skills around the time of school entry. Executive function skills provide an additional unique contribution to predicting mathematical performance. In addition, individual differences, specifically socioeconomic status, are related to spatial and mathematical skill. We conclude by exploring ways of providing rich early spatial experiences to children. © 2017 The Society for Research in Child

  1. Bottle Caps as Prekindergarten Mathematical Tools

    Science.gov (United States)

    Raisor, Jill M.; Hudson, Rick A.

    2018-01-01

    Early childhood provides a time of crucial growth in all developmental domains. Prekindergarten is an optimal time for young children to use objects of play as a medium to explore new cognitive concepts, including mathematical structure. Mathematical structure plays an important role in providing students a means to reason about mathematics,…

  2. Mathematical Gossip: Relevance and Context in the Mathematics Classroom

    Science.gov (United States)

    Callingham, Rosemary

    2004-01-01

    Using mathematical gossip in the classroom allows teachers to expand their students' horizons, and provide pathways to improvement of understanding. The expansion of a simple idea into another mathematical context can enrich a student's learning. In particular it may help to bridge the gap between purely procedural approaches and a conceptual…

  3. Mathematical cosmology

    International Nuclear Information System (INIS)

    Wainwright, J.

    1990-01-01

    The workshop on mathematical cosmology was devoted to four topics of current interest. This report contains a brief discussion of the historical background of each topic and a concise summary of the content of each talk. The topics were; the observational cosmology program, the cosmological perturbation program, isotropic singularities, and the evolution of Bianchi cosmologies. (author)

  4. Mathematical quantization

    CERN Document Server

    Weaver, Nik

    2001-01-01

    With a unique approach and presenting an array of new and intriguing topics, Mathematical Quantization offers a survey of operator algebras and related structures from the point of view that these objects are quantizations of classical mathematical structures. This approach makes possible, with minimal mathematical detail, a unified treatment of a variety of topics.Detailed here for the first time, the fundamental idea of mathematical quantization is that sets are replaced by Hilbert spaces. Building on this idea, and most importantly on the fact that scalar-valued functions on a set correspond to operators on a Hilbert space, one can determine quantum analogs of a variety of classical structures. In particular, because topologies and measure classes on a set can be treated in terms of scalar-valued functions, we can transfer these constructions to the quantum realm, giving rise to C*- and von Neumann algebras.In the first half of the book, the author quickly builds the operator algebra setting. He uses this ...

  5. A bridge to advanced mathematics

    CERN Document Server

    Sentilles, Dennis

    2011-01-01

    This helpful workbook-style ""bridge"" book introduces students to the foundations of advanced mathematics, spanning the gap between a practically oriented calculus sequence and subsequent courses in algebra and analysis with a more theoretical slant. Part 1 focuses on logic and number systems, providing the most basic tools, examples, and motivation for the manner, method, and concerns of higher mathematics. Part 2 covers sets, relations, functions, infinite sets, and mathematical proofs and reasoning. Author Dennis Sentilles also discusses the history and development of mathematics as well a

  6. The fundamentals of mathematical analysis

    CERN Document Server

    Fikhtengol'ts, G M

    1965-01-01

    The Fundamentals of Mathematical Analysis, Volume 1 is a textbook that provides a systematic and rigorous treatment of the fundamentals of mathematical analysis. Emphasis is placed on the concept of limit which plays a principal role in mathematical analysis. Examples of the application of mathematical analysis to geometry, mechanics, physics, and engineering are given. This volume is comprised of 14 chapters and begins with a discussion on real numbers, their properties and applications, and arithmetical operations over real numbers. The reader is then introduced to the concept of function, i

  7. Mathematical modeling and comparison of protein size distribution in different plant, animal, fungal and microbial species reveals a negative correlation between protein size and protein number, thus providing insight into the evolution of proteomes

    Directory of Open Access Journals (Sweden)

    Tiessen Axel

    2012-02-01

    Full Text Available Abstract Background The sizes of proteins are relevant to their biochemical structure and for their biological function. The statistical distribution of protein lengths across a diverse set of taxa can provide hints about the evolution of proteomes. Results Using the full genomic sequences of over 1,302 prokaryotic and 140 eukaryotic species two datasets containing 1.2 and 6.1 million proteins were generated and analyzed statistically. The lengthwise distribution of proteins can be roughly described with a gamma type or log-normal model, depending on the species. However the shape parameter of the gamma model has not a fixed value of 2, as previously suggested, but varies between 1.5 and 3 in different species. A gamma model with unrestricted shape parameter described best the distributions in ~48% of the species, whereas the log-normal distribution described better the observed protein sizes in 42% of the species. The gamma restricted function and the sum of exponentials distribution had a better fitting in only ~5% of the species. Eukaryotic proteins have an average size of 472 aa, whereas bacterial (320 aa and archaeal (283 aa proteins are significantly smaller (33-40% on average. Average protein sizes in different phylogenetic groups were: Alveolata (628 aa, Amoebozoa (533 aa, Fornicata (543 aa, Placozoa (453 aa, Eumetazoa (486 aa, Fungi (487 aa, Stramenopila (486 aa, Viridiplantae (392 aa. Amino acid composition is biased according to protein size. Protein length correlated negatively with %C, %M, %K, %F, %R, %W, %Y and positively with %D, %E, %Q, %S and %T. Prokaryotic proteins had a different protein size bias for %E, %G, %K and %M as compared to eukaryotes. Conclusions Mathematical modeling of protein length empirical distributions can be used to asses the quality of small ORFs annotation in genomic releases (detection of too many false positive small ORFs. There is a negative correlation between average protein size and total number of

  8. An introduction to mathematical cryptography

    CERN Document Server

    Hoffstein, Jeffrey; Silverman, Joseph H

    2014-01-01

    This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online. The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include: classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; fundamental mathematical tools for cr...

  9. Mathematics education, democracy and development: Exploring connections

    Directory of Open Access Journals (Sweden)

    Renuka Vithal

    2012-12-01

    Full Text Available Mathematics education and its links to democracy and development are explored in this article, with specific reference to the case of South Africa. This is done by engaging four key questions. Firstly, the question of whether mathematics education can be a preparation for democracy and include a concern for development, is discussed by drawing on conceptual tools of critical mathematics education and allied areas in a development context. Secondly, the question of how mathematics education is distributed in society and participates in shaping educational possibilities in addressing its development needs and goals is used to examine the issues emerging from mathematics performance in international studies and the national Grade 12 examination; the latter is explored specifically in respect of the South African mathematics curriculum reforms and teacher education challenges. Thirdly, the question of whether a mathematics classroom can be a space for democratic living and learning that equally recognises the importance of issues of development in contexts like South Africa, as a post-conflict society still healing from its apartheid wounds, continuing inequality and poverty, is explored through pedagogies of conflict, dialogue and forgiveness. Finally the question of whether democracy and development can have anything to do with mathematics content matters, is discussed by appropriating, as a metaphor, South Africa’s Truth and Reconciliation Commission’s framework of multiple ‘truths’, to seek links within and across the various forms and movements in mathematics and mathematics education that have emerged in the past few decades.

  10. Noncommutative mathematics for quantum systems

    CERN Document Server

    Franz, Uwe

    2016-01-01

    Noncommutative mathematics is a significant new trend of mathematics. Initially motivated by the development of quantum physics, the idea of 'making theory noncommutative' has been extended to many areas of pure and applied mathematics. This book is divided into two parts. The first part provides an introduction to quantum probability, focusing on the notion of independence in quantum probability and on the theory of quantum stochastic processes with independent and stationary increments. The second part provides an introduction to quantum dynamical systems, discussing analogies with fundamental problems studied in classical dynamics. The desire to build an extension of the classical theory provides new, original ways to understand well-known 'commutative' results. On the other hand the richness of the quantum mathematical world presents completely novel phenomena, never encountered in the classical setting. This book will be useful to students and researchers in noncommutative probability, mathematical physi...

  11. Mapping Mathematics in Classroom Discourse

    Science.gov (United States)

    Herbel-Eisenmann, Beth A.; Otten, Samuel

    2011-01-01

    This article offers a particular analytic method from systemic functional linguistics, "thematic analysis," which reveals the mathematical meaning potentials construed in discourse. Addressing concerns that discourse analysis is too often content-free, thematic analysis provides a way to represent semantic structures of mathematical content,…

  12. Mathematics in Engineering - Part I

    Indian Academy of Sciences (India)

    tion of mathematics to engineering problems; to provide a taste of some ... for organizations like ISRO or DRDO are called scien- tists. ... analysis and development of measurable physical data, using .... Any serious discussion of mathematics in modern engi- neering .... A simple way to solve this problem computationally is.

  13. What is the problem in problem-based learning in higher education mathematics

    Science.gov (United States)

    Dahl, Bettina

    2018-01-01

    Problem and Project-Based Learning (PBL) emphasise collaborate work on problems relevant to society and emphases the relation between theory and practice. PBL fits engineering students as preparation for their future professions but what about mathematics? Mathematics is not just applied mathematics, but it is also a body of abstract knowledge where the application in society is not always obvious. Does mathematics, including pure mathematics, fit into a PBL curriculum? This paper argues that it does for two reasons: (1) PBL resembles the working methods of research mathematicians. (2) The concept of society includes the society of researchers to whom theoretical mathematics is relevant. The paper describes two cases of university PBL projects in mathematics; one in pure mathematics and the other in applied mathematics. The paper also discusses that future engineers need to understand the world of mathematics as well as how engineers fit into a process of fundamental-research-turned-into-applied-science.

  14. The language of mathematics telling mathematical tales

    CERN Document Server

    Barton, Bill

    2008-01-01

    Everyday mathematical ideas are expressed differently in different languages. This book probes those differences and explores their implications for mathematics education, arguing for alternatives to how we teach and learn mathematics.

  15. Heart Failure Society of America

    Science.gov (United States)

    ... MACRA Resource Portal The Heart Failure Society of America, Inc. (HFSA) represents the first organized effort by heart failure experts from the Americas to provide a forum for all those interested ...

  16. Research in Mathematics Education

    Science.gov (United States)

    Schoenfeld, Alan H.

    2016-01-01

    As one of the three Rs, "'rithmetic" has always been central to education and education research. By virtue of that centrality, research in mathematics education has often reflected and at times led trends in education research. This chapter provides some deep background on epistemological and other issues that shape current research,…

  17. Computational mathematics in China

    CERN Document Server

    Shi, Zhong-Ci

    1994-01-01

    This volume describes the most significant contributions made by Chinese mathematicians over the past decades in various areas of computational mathematics. Some of the results are quite important and complement Western developments in the field. The contributors to the volume range from noted senior mathematicians to promising young researchers. The topics include finite element methods, computational fluid mechanics, numerical solutions of differential equations, computational methods in dynamical systems, numerical algebra, approximation, and optimization. Containing a number of survey articles, the book provides an excellent way for Western readers to gain an understanding of the status and trends of computational mathematics in China.

  18. Insights into teaching mathematics

    CERN Document Server

    Orton, Anthony

    2004-01-01

    Providing essential guidance and background information about teaching mathematics, this book is intended particularly for teachers who do not regard themselves as specialists in mathematics. It deals with issues of learning and teaching, including the delivery of content and the place of problems and investigations. Difficulties which pupils encounter in connection with language and symbols form important sections of the overall discussion of how to enhance learning. The curriculum is considered in brief under the headings of number, algebra, shape and space, and data handling, and special at

  19. Applied mathematics made simple

    CERN Document Server

    Murphy, Patrick

    1982-01-01

    Applied Mathematics: Made Simple provides an elementary study of the three main branches of classical applied mathematics: statics, hydrostatics, and dynamics. The book begins with discussion of the concepts of mechanics, parallel forces and rigid bodies, kinematics, motion with uniform acceleration in a straight line, and Newton's law of motion. Separate chapters cover vector algebra and coplanar motion, relative motion, projectiles, friction, and rigid bodies in equilibrium under the action of coplanar forces. The final chapters deal with machines and hydrostatics. The standard and conte

  20. Comprehensive basic mathematics

    CERN Document Server

    Veena, GR

    2005-01-01

    Salient Features As per II PUC Basic Mathematics syllabus of Karnataka. Provides an introduction to various basic mathematical techniques and the situations where these could be usefully employed. The language is simple and the material is self-explanatory with a large number of illustrations. Assists the reader in gaining proficiency to solve diverse variety of problems. A special capsule containing a gist and list of formulae titled ''REMEMBER! Additional chapterwise arranged question bank and 3 model papers in a separate section---''EXAMINATION CORNER''.

  1. Mathematics for physicists

    CERN Document Server

    Dennery, Philippe

    1967-01-01

    ""A fine example of how to present 'classical' physical mathematics."" - American ScientistWritten for advanced undergraduate and graduate students, this volume provides a thorough background in the mathematics needed to understand today's more advanced topics in physics and engineering. Without sacrificing rigor, the authors develop the theoretical material at length, in a highly readable, and, wherever possible, in an intuitive manner. Each abstract idea is accompanied by a very simple, concrete example, showing the student that the abstraction is merely a generalization from easily understo

  2. Mathematical grammar of biology

    CERN Document Server

    Yamagishi, Michel Eduardo Beleza

    2017-01-01

    This seminal, multidisciplinary book shows how mathematics can be used to study the first principles of DNA. Most importantly, it enriches the so-called “Chargaff’s grammar of biology” by providing the conceptual theoretical framework necessary to generalize Chargaff’s rules. Starting with a simple example of DNA mathematical modeling where human nucleotide frequencies are associated to the Fibonacci sequence and the Golden Ratio through an optimization problem, its breakthrough is showing that the reverse, complement and reverse-complement operators defined over oligonucleotides induce a natural set partition of DNA words of fixed-size. These equivalence classes, when organized into a matrix form, reveal hidden patterns within the DNA sequence of every living organism. Intended for undergraduate and graduate students both in mathematics and in life sciences, it is also a valuable resource for researchers interested in studying invariant genomic properties.

  3. Herbart's mathematical psychology.

    Science.gov (United States)

    Boudewijnse, G J; Murray, D J; Bandomir, C A

    1999-08-01

    J.F. Herbart (1824/1890b) provided a mathematical theory about how mental ideas (Vorstellungen) in consciousness at Time 1 (T1) could compete, possibly driving 1 or more Vorstellungen below a threshold of consciousness. At T1 a Vorstellung A could also fuse with another, B. If at a later T2, A resurfaced into consciousness, it could help B to re-resurface into consciousness. This article describes the historical and mathematical background of Herbart's theory, outlines the mathematical theory itself with the aid of computer graphics, and argues that the theory can be applied to the modern problem of predicting recognition latencies in short-term memory (Sternberg's task; Sternberg, 1966)

  4. Engineering mathematics pocket book

    CERN Document Server

    Bird, John

    2008-01-01

    This compendium of essential formulae, definitions, tables and general information provides the mathematical information required by students, technicians, scientists and engineers in day-to-day engineering practice. A practical and versatile reference source, now in its fourth edition, the layout has been changed and the book has been streamlined to ensure the information is even more quickly and readily available - making it a handy companion on-site, in the office as well as for academic study. It also acts as a practical revision guide for those undertaking BTEC Nationals, Higher Nationals and NVQs, where engineering mathematics is an underpinning requirement of the course.All the essentials of engineering mathematics - from algebra, geometry and trigonometry to logic circuits, differential equations and probability - are covered, with clear and succinct explanations and illustrated with over 300 line drawings and 500 worked examples based in real-world application. The emphasis throughout the book is on ...

  5. Understanding in mathematics

    CERN Document Server

    Sierpinska, Anna

    1994-01-01

    The concept of understanding in mathematics with regard to mathematics education is considered in this volume, the main problem for mathematics teachers being how to facilitate their students'' understanding of the mathematics being taught.

  6. Mathematical epidemiology

    CERN Document Server

    Driessche, Pauline; Wu, Jianhong

    2008-01-01

    Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downlo...

  7. Applied mathematics

    International Nuclear Information System (INIS)

    Nedelec, J.C.

    1988-01-01

    The 1988 progress report of the Applied Mathematics center (Polytechnic School, France), is presented. The research fields of the Center are the scientific calculus, the probabilities and statistics and the video image synthesis. The research topics developed are: the analysis of numerical methods, the mathematical analysis of the physics and mechanics fundamental models, the numerical solution of complex models related to the industrial problems, the stochastic calculus and the brownian movement, the stochastic partial differential equations, the identification of the adaptive filtering parameters, the discrete element systems, statistics, the stochastic control and the development, the image synthesis techniques for education and research programs. The published papers, the congress communications and the thesis are listed [fr

  8. The quality and scope of information provided by medical laboratories to patients before laboratory testing: Survey of the Working Group for Patient Preparation of the Croatian Society of Medical Biochemistry and Laboratory Medicine.

    Science.gov (United States)

    Nikolac, Nora; Simundic, Ana-Maria; Kackov, Sanja; Serdar, Tihana; Dorotic, Adrijana; Fumic, Ksenija; Gudasic-Vrdoljak, Jelena; Klenkar, Kornelija; Sambunjak, Jadranka; Vidranski, Valentina

    2015-10-23

    The aim of this work was to evaluate to what extent the scope and content of information provided to patients is standardized across medical biochemistry laboratories in Croatia. Two on-line self-report surveys were sent out: Survey A regarding attitudes on importance of patient preparation and Survey B on the contents of patient preparation instructions. 13/118 laboratories (11%) do not provide written instructions to patients on how to prepare for laboratory testing, and 36 (40%) do not include information about water intake in their instructions. Only half of laboratories provide instructions for prostate-specific antigen (53.8%), female sex hormones (53.7%) and therapeutic drug monitoring (TDM) (52.5%). Inadequate information about fasting status (55.0%) and 24 hour urine collection (77.9%) were frequent errors with high severity and were associated with the greatest potential to cause patient harm. Laboratory professionals in Croatia have a positive attitude towards the importance of patient preparation for laboratory testing. However, the information for laboratory testing is not standardized and frequently lacks guidance for tests related to TDM, coagulation and endocrinology. This study highlights the need for standardized, updated and evidence-based recommendations for patient preparation in order to minimize the risk for patients. Copyright © 2015 Elsevier B.V. All rights reserved.

  9. Digital Denmark: From Information Society to Network Society

    DEFF Research Database (Denmark)

    Henten, Anders; Falch, Morten

    2000-01-01

    for a welfare society. However, globalisation and the spreading use of new information and communication technologies and services challenge this position. This article examines Denmark's performance in implementing its IS 2000 plans, the background to the Digital Denmark report, and its implications......The Danish Government recently issued a new policy report, Digital Denmark, on the "conversion to a network society", as a successor to its Information Society 2000 report (1994). This is part of a new round of information society policy vision statements that are, or will be forthcoming from...... national governments everywhere. Denmark provides an interesting case study because it ranks high in the benchmark indicators of information network society developments. This position has been obtained largely by public sector initiatives and without erosion of the highly reputed Scandinavian model...

  10. Science, Society and Policy

    Science.gov (United States)

    White, K. S.; Teich, A. H.

    2010-12-01

    Apart from the journals they produce, scientific societies play an important role in communicating scientific findings and norms to the broader society. The American Association for the Advancement of Science (AAAS) includes among its goals to promote and defend the integrity of science and its use; provide a voice for science on societal issues; promote the responsible use of science in public policy; and increase public engagement with science and technology. AAAS websites and programs, including Communicating Science (www.aaas.org/communicatingscience), Working with Congress (http://www.aaas.org/spp/cstc/wwc/book.htm) and ScienceCareers.org (http://sciencecareers.sciencemag.org), provide tools for scientists to become more directly engaged in effectively communicating their findings and involved in the policy process. Education programs work to build the next generation of scientists and a science-literate public. To bridge the current communication gap between scientists, the public and policymakers, AAAS, like other scientific societies, maintains policy and outreach programs with limited budgets and staff. AAAS works to engage policymakers and provide scientific underpinning to key issues through congressional briefings, meetings, policy briefs, and media outreach. AAAS responds to challenges to accepted scientific findings and processes through op-eds, letters to government officials, resolutions, and Board statements. Some of these initiatives occur on a local level in partnership with local civic leaders, whose endorsement makes them more powerful. On a national scale, they assure that the voice of science is included in the debate. The changing media landscape presents opportunities and challenges for future AAAS endeavors.

  11. Mathematical control theory

    International Nuclear Information System (INIS)

    Agrachev, A.A.

    2002-01-01

    This volume is based on the lecture notes of the minicourses given in the frame of the school on Mathematical Control Theory held at the Abdus Salam ICTP from 3 to 28 September 2001. Mathematical Control Theory is a rapidly growing field which provides strict theoretical and computational tools for dealing with problems arising in electrical and aerospace engineering, automatics, robotics, applied chemistry, and biology etc. Control methods are also involved in questions pertaining to the development of countries in the South, such as wastewater treatment, agronomy, epidemiology, population dynamics, control of industrial and natural bio-reactors. Since most of these natural processes are highly nonlinear, the tools of nonlinear control are essential for the modelling and control of such processes. At present regular courses in Mathematical Control Theory are rarely included in the curricula of universities, and very few researchers receive enough background in the field. Therefore it is important to organize specific activities in the form of schools to provide the necessary background for those embarking on research in this field. The school at the Abdus Salam ICTP consisted of several minicourses intended to provide an introduction to various topics of Mathematical Control Theory, including Linear Control Theory (finite and infinite-dimensional), Nonlinear Control, and Optimal Control. The last week of the school was concentrated on applications of Mathematical Control Theory, in particular, those which are important for the development of non-industrialized countries. The school was intended primarily for mathematicians and mathematically oriented engineers at the beginning of their career. The typical participant was expected to be a graduate student or young post-doctoral researcher interested in Mathematical Control Theory. It was assumed that participants have sufficient background in Ordinary Differential Equations and Advanced Calculus. The volume

  12. Mathematical control theory

    Energy Technology Data Exchange (ETDEWEB)

    Agrachev, A A [Steklov Mathematical Institute, Moscow (Russian Federation); SISSA, Trieste [Italy; ed.

    2002-07-15

    This volume is based on the lecture notes of the minicourses given in the frame of the school on Mathematical Control Theory held at the Abdus Salam ICTP from 3 to 28 September 2001. Mathematical Control Theory is a rapidly growing field which provides strict theoretical and computational tools for dealing with problems arising in electrical and aerospace engineering, automatics, tics, applied chemistry, and biology etc. Control methods are also involved in questions pertaining to the development of countries in the South, such as wastewater treatment, agronomy, epidemiology, population dynamics, control of industrial and natural bio-reactors. Since most of these natural processes are highly nonlinear, the tools of nonlinear control are essential for the modelling and control of such processes. At present regular courses in Mathematical Control Theory are rarely included in the curricula of universities, and very few researchers receive enough background in the field. Therefore it is important to organize specific activities in the form of schools to provide the necessary background for those embarking on research in this field. The school at the Abdus Salam ICTP consisted of several minicourses intended to provide an introduction to various topics of Mathematical Control Theory, including Linear Control Theory (finite and infinite-dimensional), Nonlinear Control, and Optimal Control. The last week of the school was concentrated on applications of Mathematical Control Theory, in particular, those which are important for the development of non-industrialized countries. The school was intended primarily for mathematicians and mathematically oriented engineers at the beginning of their career. The typical participant was expected to be a graduate student or young post-doctoral researcher interested in Mathematical Control Theory. It was assumed that participants have sufficient background in Ordinary Differential Equations and Advanced Calculus. The volume contains

  13. Dilemma in Teaching Mathematics

    Science.gov (United States)

    Md Kamaruddin, Nafisah Kamariah; Md Amin, Zulkarnain

    2012-01-01

    The challenge in mathematics education is finding the best way to teach mathematics. When students learn the reasoning and proving in mathematics, they will be proficient in mathematics. Students must know mathematics before they can apply it. Symbolism and logic is the key to both the learning of mathematics and its effective application to…

  14. Mathematical aspects of field quantization. Quantum electrodynamics

    International Nuclear Information System (INIS)

    Bongaarts, P.J.M.

    1983-01-01

    Fundamental mathematical aspects of quantum field theory are discussed. A brief review of various approaches to mathematical problems of quantum electrodynamics is given, preceded by a more extensive account of the development of ideas on the mathematical nature of quantum fields in general, providing an appropriate historical context. (author)

  15. Mathematical Creativity: Psychology, Progress and Caveats

    Science.gov (United States)

    Sriraman, Bharath

    2017-01-01

    The aim of this paper is to provide a concise survey of advances in the study of the psychology of creativity, with an emphasis on literature that is typically not cited in mathematics education. In spite of claims that mathematical creativity is an ill-defined area of inquiry in mathematics education, the literature from psychology can serve as…

  16. Lectures on Applications-Oriented Mathematics

    CERN Document Server

    Friedman, Bernard

    2011-01-01

    Meets the need for a program of short courses involving the essentials of a number of mathematical topics taken by physics and engineering students. Basically applications-oriented, the courses do include selected topics of abstract mathematics. While several courses can be used as practical appendices to conventional mathematics, others serve as introductions, providing motivation for self-study in areas of conceptual math.

  17. Teaching Mathematical Modeling in Mathematics Education

    Science.gov (United States)

    Saxena, Ritu; Shrivastava, Keerty; Bhardwaj, Ramakant

    2016-01-01

    Mathematics is not only a subject but it is also a language consisting of many different symbols and relations. Taught as a compulsory subject up the 10th class, students are then able to choose whether or not to study mathematics as a main subject. The present paper discusses mathematical modeling in mathematics education. The article provides…

  18. Doing Mathematics with Purpose: Mathematical Text Types

    Science.gov (United States)

    Dostal, Hannah M.; Robinson, Richard

    2018-01-01

    Mathematical literacy includes learning to read and write different types of mathematical texts as part of purposeful mathematical meaning making. Thus in this article, we describe how learning to read and write mathematical texts (proof text, algorithmic text, algebraic/symbolic text, and visual text) supports the development of students'…

  19. Teachers' Mathematics as Mathematics-at-Work

    Science.gov (United States)

    Bednarz, Nadine; Proulx, Jérôme

    2017-01-01

    Through recognising mathematics teachers as professionals who use mathematics in their workplace, this article traces a parallel between the mathematics enacted by teachers in their practice and the mathematics used in workplaces found in studies of professionals (e.g. nurses, engineers, bankers). This parallel is developed through the five…

  20. Magical mathematics the mathematical ideas that animate great magic tricks

    CERN Document Server

    Diaconis, Persi

    2012-01-01

    Magical Mathematics reveals the secrets of amazing, fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. For example, the Gilbreath Principle--a fantastic effect where the cards remain in control despite being shuffled--is found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem.

  1. Mathematics and engineering in real life through mathematical competitions

    Science.gov (United States)

    More, M.

    2018-02-01

    We bring out an experience of organizing mathematical competitions that can be used as a medium to motivate the student and teacher minds in new directions of thinking. This can contribute to fostering research, innovation and provide a hands-on experience of mathematical concepts with the real world. Mathematical competitions can be used to build curiosity and give an understanding of mathematical applications in real life. Participation in the competition has been classified under four broad categories. Student can showcase their findings in various forms of expression like model, poster, soft presentation, animation, live performance, art and poetry. The basic focus of the competition is on using open source computation tools and modern technology, to emphasize the relationship of mathematical concepts with engineering applications in real life.

  2. Critical relationships between teachers and learners of school mathematics

    OpenAIRE

    Wright, P.

    2017-01-01

    This article draws on critical theories and perspectives on mathematics education to explain the tendency of mathematics teaching worldwide to remain focused on developing procedural understanding, despite repeated calls from the mathematics education community for a more relevant and engaging curriculum. It highlights how conventional approaches to teaching mathematics contribute towards alienating a high proportion of learners and reproducing inequities within society. The article reports o...

  3. Mathematical intuitionism

    CERN Document Server

    Dragalin, A G

    1988-01-01

    This monograph is intended to present the most important methods of proof theory in intuitionistic logic, assuming the reader to have mastered an introductory course in mathematical logic. The book starts with purely syntactical methods based on Gentzen's cut-elimination theorem, followed by intuitionistic arithmetic where Kleene's realizability method plays a central role. The author then studies algebraic models and completeness theorems for them. After giving a survey on the principles of intuitionistic analysis, the last part of the book presents the cut-elimination theorem in intuitionistic simple theory of types with an extensionality rule.

  4. Development process of subjects society

    Directory of Open Access Journals (Sweden)

    A. V. Reshetnichenko

    2014-08-01

    Full Text Available Background due to defining the role of people in the development of society and the almost complete absence of scientific management processes capable of progressive development of both individuals and social communities, and nations, and civilization in general. In order to overcome inherent subjectivist methodology of knowledge, psyholohizatorskyh, hiperpolityzovanyh and utilitarian approach, the authors proposed a three-tier system of business processes of society. The conceptual core of the approach consists in the detection task as logical - mathematical laws of subjects of primary, secondary and higher levels of development, and on the mechanisms of their formation and practice. The solution of the tasks allowed the authors to reveal the structure of both the ascending and descending processes of economic society. Thus, the analysis of individual carriers upward changes as «individual», «individuality», «person» and «personality» showed conditionality determination of their activities with «anthropometric», «ethnic», «demographic» and «ideological» mechanisms. Nature as common carriers downstream changes revealed using correlative related «groups», «group «, «groups» and «communities» whose activity is due to «vitalistic», «education», «professional» and «stratification» mechanisms. To disclose the nature and organization of secondary and higher levels of economic society by the authors introduced the category of «citizen», «heneralista», «human space», «human galactic» ‘formation and development is causing «status», «Persona logical», «humanocentric», «institutional», «cluster», «kontaminatsiyni» and other mechanisms. One of the main achievements of the work, the authors consider the possibility of further development and practical implementation of new quality management processes of economic society based multimodal dialectical logic.

  5. Abandoning mathematics. Reconstructing the process in the context of the social perception of mathematics

    Directory of Open Access Journals (Sweden)

    Anna Baczko-Dombi

    2018-02-01

    Full Text Available Mathematics, as no other school subject, evokes conflicting emotions and contradictory attitudes – from “the gate to a career” and “the queen of science” to the widespread acceptance of mathematical ignorance in society. The process of studying mathematics requires systematic work and patience, as mathematical knowledge has a cumulative nature. In the case of mathematics education, some students abandon mathematics at quite early levels of education and begin to consider themselves “humanists”, which results in serious consequences for future educational and career choices. In this paper, I propose a description of the process of escaping from mathematics in the context of students’ perceptions of this subject, using the results of two studies – one qualitative and the other quantitative.

  6. The challenge of computer mathematics.

    Science.gov (United States)

    Barendregt, Henk; Wiedijk, Freek

    2005-10-15

    Progress in the foundations of mathematics has made it possible to formulate all thinkable mathematical concepts, algorithms and proofs in one language and in an impeccable way. This is not in spite of, but partially based on the famous results of Gödel and Turing. In this way statements are about mathematical objects and algorithms, proofs show the correctness of statements and computations, and computations are dealing with objects and proofs. Interactive computer systems for a full integration of defining, computing and proving are based on this. The human defines concepts, constructs algorithms and provides proofs, while the machine checks that the definitions are well formed and the proofs and computations are correct. Results formalized so far demonstrate the feasibility of this 'computer mathematics'. Also there are very good applications. The challenge is to make the systems more mathematician-friendly, by building libraries and tools. The eventual goal is to help humans to learn, develop, communicate, referee and apply mathematics.

  7. DOE Fundamentals Handbook: Mathematics, Volume 1

    International Nuclear Information System (INIS)

    1992-06-01

    The Mathematics Fundamentals Handbook was developed to assist nuclear facility operating contractors provide operators, maintenance personnel, and the technical staff with the necessary fundamentals training to ensure a basic understanding of mathematics and its application to facility operation. The handbook includes a review of introductory mathematics and the concepts and functional use of algebra, geometry, trigonometry, and calculus. Word problems, equations, calculations, and practical exercises that require the use of each of the mathematical concepts are also presented. This information will provide personnel with a foundation for understanding and performing basic mathematical calculations that are associated with various DOE nuclear facility operations

  8. DOE Fundamentals Handbook: Mathematics, Volume 2

    International Nuclear Information System (INIS)

    1992-06-01

    The Mathematics Fundamentals Handbook was developed to assist nuclear facility operating contractors provide operators, maintenance personnel, and the technical staff with the necessary fundamentals training to ensure a basic understanding of mathematics and its application to facility operation. The handbook includes a review of introductory mathematics and the concepts and functional use of algebra, geometry, trigonometry, and calculus. Word problems, equations, calculations, and practical exercises that require the use of each of the mathematical concepts are also presented. This information will provide personnel with a foundation for understanding and performing basic mathematical calculations that are associated with various DOE nuclear facility operations

  9. Mathematical theories of distributed sensor networks

    CERN Document Server

    Iyengar, Sitharama S; Balakrishnan, N

    2014-01-01

    Mathematical Theory of Distributed Sensor Networks demonstrates how mathematical theories can be used to provide distributed sensor modeling and to solve important problems such as coverage hole detection and repair. The book introduces the mathematical and computational structure by discussing what they are, their applications and how they differ from traditional systems. The text also explains how mathematics are utilized to provide efficient techniques implementing effective coverage, deployment, transmission, data processing, signal processing, and data protection within distributed sensor networks. Finally, the authors discuss some important challenges facing mathematics to get more incite to the multidisciplinary area of distributed sensor networks.

  10. Meeting in mathematics

    DEFF Research Database (Denmark)

    Mogensen, Arne; Georgiev, Vladimir; Ulovec, Andreas

    To encourage many more young people to appreciate the real nature and spirit of mathematics and possibly to be enrolled in mathematics study it is important to involve them in doing mathematics (not just learning about mathematics). This goal could be achieved if mathematics teachers are prepared...... to identify and work with mathematically gifted students (without loosing the rest). The book offers chapters on gifted students, mathematical competences and other issues....

  11. Mathematics is always invisible, Professor Dowling

    Science.gov (United States)

    Cable, John

    2015-09-01

    This article provides a critical evaluation of a technique of analysis, the Social Activity Method, recently offered by Dowling (2013) as a `gift' to mathematics education. The method is found to be inadequate, firstly, because it employs a dichotomy (between `expression' and `content') instead of a finer analysis (into symbols, concepts and setting or phenomena), and, secondly, because the distinction between `public' and `esoteric' mathematics, although interesting, is allowed to obscure the structure of the mathematics itself. There is also criticism of what Dowling calls the `myth of participation', which denies the intimate links between mathematics and the rest of the universe that lie at the heart of mathematical pedagogy. Behind all this lies Dowling's `essentially linguistic' conception of mathematics, which is criticised on the dual ground that it ignores the chastening experience of formalism in mathematical philosophy and that linguistics itself has taken a wrong turn and ignores lessons that might be learnt from mathematics education.

  12. American Society of Echocardiography

    Science.gov (United States)

    American Society of Echocardiography Join Ase Renew Member Portal Log In Membership Member Portal Log In Join ASE Renew Benefits Rates FASE – Fellow of the American Society of Echocardiography Member Referral Program FAQs Initiatives Advocacy Awards, Grants, ...

  13. Mathematics, the Computer, and the Impact on Mathematics Education.

    Science.gov (United States)

    Tooke, D. James

    2001-01-01

    Discusses the connection between mathematics and the computer; mathematics curriculum; mathematics instruction, including teachers learning to use computers; and the impact of the computer on learning mathematics. (LRW)

  14. The mathematics of superoscillations

    CERN Document Server

    Aharonov, Yakir; Sabadini, Irene; Tollaksen, J

    2017-01-01

    In the past 50 years, quantum physicists have discovered, and experimentally demonstrated, a phenomenon which they termed superoscillations. Aharonov and his collaborators showed that superoscillations naturally arise when dealing with weak values, a notion that provides a fundamentally different way to regard measurements in quantum physics. From a mathematical point of view, superoscillating functions are a superposition of small Fourier components with a bounded Fourier spectrum, which result, when appropriately summed, in a shift that can be arbitrarily large, and well outside the spectrum. The purpose of this work is twofold: on one hand the authors provide a self-contained survey of the existing literature, in order to offer a systematic mathematical approach to superoscillations; on the other hand, they obtain some new and unexpected results, by showing that superoscillating sequences can be seen of as solutions to a large class of convolution equations and can therefore be treated within the theory of...

  15. Authenticity of Mathematical Modeling

    Science.gov (United States)

    Tran, Dung; Dougherty, Barbara J.

    2014-01-01

    Some students leave high school never quite sure of the relevancy of the mathematics they have learned. They fail to see links between school mathematics and the mathematics of everyday life that requires thoughtful decision making and often complex problem solving. Is it possible to bridge the gap between school mathematics and the mathematics in…

  16. Does gender bias influence awards given by societies?

    Science.gov (United States)

    Holmes, Mary Anne; Asher, Pranoti; Farrington, John; Fine, Rana; Leinen, Margaret S.; LeBoy, Phoebe

    2011-11-01

    AGU is a participant in a U.S. National Science Foundation (NSF)-funded project called Advancing Ways of Awarding Recognition in Disciplinary Societies (AWARDS), which seeks to examine whether gender bias affects selection of recipients of society awards. AGU is interested in learning why there is a higher proportion of female recipients of service and education awards over the past 2 decades. Combined with a lower rate of receipt of research awards, these results suggest that implicit (subconscious) bias in favor of male candidates still influences awardee selection. Six other professional societies (American Chemical Society, American Mathematical Society, American Society of Anesthesiologists, Mathematical Association of America, Society for Neuroscience, and Society for Industrial and Applied Mathematics) are participating in the project. Volunteers from each participant society attended an Association for Women in Science (AWIS)-sponsored workshop in May 2010 to examine data and review literature on best practices for fair selection of society awardees. A draft proposal for implementing these practices will be brought before the AGU Council and the Honors and Recognition Committee at their upcoming meetings.

  17. Science in Society in Europe

    DEFF Research Database (Denmark)

    Mejlgaard, Niels; Bloch, Carter Walter

    2012-01-01

    This paper introduces a special section of Science and Public Policy on science in society in Europe. Based on extensive data collected for the Monitoring Policy and Research Activities on Science in Society in Europe (MASIS) project, contributions to this special section explore pertinent issues...... related to the location, role and responsibility of science across EU member states and associated countries. By developing analytical typologies and classifying countries, the collection of papers provides a novel and detailed picture of Europe. It reveals considerable variation regarding...... the interactions of science and society at the national level, and it offers a platform for international learning. The identification of patterns and trends concerning the place of science in society may also feed into emerging European discussions about ‘responsible research and innovation’....

  18. The tools of mathematical reasoning

    CERN Document Server

    Lakins, Tamara J

    2016-01-01

    This accessible textbook gives beginning undergraduate mathematics students a first exposure to introductory logic, proofs, sets, functions, number theory, relations, finite and infinite sets, and the foundations of analysis. The book provides students with a quick path to writing proofs and a practical collection of tools that they can use in later mathematics courses such as abstract algebra and analysis. The importance of the logical structure of a mathematical statement as a framework for finding a proof of that statement, and the proper use of variables, is an early and consistent theme used throughout the book.

  19. Applied Mathematical Problems in Engineering

    Directory of Open Access Journals (Sweden)

    Carlos Llopis-Albert

    2016-10-01

    Full Text Available There is a close relationship between engineering and mathematics, which has led to the development of new techniques in recent years. Likewise the developments in technology and computers have led to new ways of teaching mathematics for engineering students and the use of modern techniques and methods.  This research aims to provide insight on how to deal with mathematical problems for engineering students. This is performed by means of a fuzzy set/Qualitative Comparative Analysis applied to conflict resolution of Public Participation Projects in support to the EU Water Framework Directive.

  20. The functions of mathematical physics

    CERN Document Server

    Hochstadt, Harry

    2012-01-01

    A modern classic, this clearly written, incisive textbook provides a comprehensive, detailed survey of the functions of mathematical physics, a field of study straddling the somewhat artificial boundary between pure and applied mathematics.In the 18th and 19th centuries, the theorists who devoted themselves to this field - pioneers such as Gauss, Euler, Fourier, Legendre, and Bessel - were searching for mathematical solutions to physical problems. Today, although most of the functions have practical applications, in areas ranging from the quantum-theoretical model of the atom to the vibrating

  1. An introduction to mathematical modeling

    CERN Document Server

    Bender, Edward A

    2000-01-01

    Employing a practical, ""learn by doing"" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields - including science, engineering, and operations research - to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The

  2. Medicare Provider Data - Hospice Providers

    Data.gov (United States)

    U.S. Department of Health & Human Services — The Hospice Utilization and Payment Public Use File provides information on services provided to Medicare beneficiaries by hospice providers. The Hospice PUF...

  3. Theological Metaphors in Mathematics

    Directory of Open Access Journals (Sweden)

    Krajewski Stanisław

    2016-03-01

    Full Text Available Examples of possible theological influences upon the development of mathematics are indicated. The best known connection can be found in the realm of infinite sets treated by us as known or graspable, which constitutes a divine-like approach. Also the move to treat infinite processes as if they were one finished object that can be identified with its limits is routine in mathematicians, but refers to seemingly super-human power. For centuries this was seen as wrong and even today some philosophers, for example Brian Rotman, talk critically about “theological mathematics”. Theological metaphors, like “God’s view”, are used even by contemporary mathematicians. While rarely appearing in official texts they are rather easily invoked in “the kitchen of mathematics”. There exist theories developing without the assumption of actual infinity the tools of classical mathematics needed for applications (For instance, Mycielski’s approach. Conclusion: mathematics could have developed in another way. Finally, several specific examples of historical situations are mentioned where, according to some authors, direct theological input into mathematics appeared: the possibility of the ritual genesis of arithmetic and geometry, the importance of the Indian religious background for the emergence of zero, the genesis of the theories of Cantor and Brouwer, the role of Name-worshipping for the research of the Moscow school of topology. Neither these examples nor the previous illustrations of theological metaphors provide a certain proof that religion or theology was directly influencing the development of mathematical ideas. They do suggest, however, common points and connections that merit further exploration.

  4. The Information Society

    Directory of Open Access Journals (Sweden)

    Hiranya Nath

    2017-03-01

    Full Text Available This article briefly discusses various definitions and concepts of the so-called information society. The term information society has been proposed to refer to the post-industrial society in which information plays a pivotal role. The definitions that have been proposed over the years highlight five underlying characterisations of an information society: technological, economic, sociological, spatial, and cultural. This article discusses those characteristics. While the emergence of an information society may be just a figment of one’s imagination, the concept could be a good organising principle to describe and analyse the changes of the past 50 years and of the future in the 21st century.

  5. Nationalistic Education in a Global Society.

    Science.gov (United States)

    Nelson, Jack L.

    The appropriateness of nationalistic education in the modern global society is questioned since nation-states may be superceded by supra-national or global structures. Schools provide a place for society to prepare younger generations to cherish and protect the interests of that society. Human history reflects this trend as it moves from parental…

  6. Features of social modernization of Kazakhstan society

    OpenAIRE

    Southbaeva S.

    2017-01-01

    The analysis of social modernization of the Kazakhstan society is carried out. The article provides information on sociological analysis, analysis of normative legal acts aimed at improving the social modernization of Kazakhstan society. The level of legal culture and spiritual and moral values of the Kazakh society are singled out. Further development prospects for improving social modernization are given.

  7. Basics of modern mathematical statistics

    CERN Document Server

    Spokoiny, Vladimir

    2015-01-01

    This textbook provides a unified and self-contained presentation of the main approaches to and ideas of mathematical statistics. It collects the basic mathematical ideas and tools needed as a basis for more serious studies or even independent research in statistics. The majority of existing textbooks in mathematical statistics follow the classical asymptotic framework. Yet, as modern statistics has changed rapidly in recent years, new methods and approaches have appeared. The emphasis is on finite sample behavior, large parameter dimensions, and model misspecifications. The present book provides a fully self-contained introduction to the world of modern mathematical statistics, collecting the basic knowledge, concepts and findings needed for doing further research in the modern theoretical and applied statistics. This textbook is primarily intended for graduate and postdoc students and young researchers who are interested in modern statistical methods.

  8. Data assimilation a mathematical introduction

    CERN Document Server

    Law, Kody; Zygalakis, Konstantinos

    2015-01-01

    This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation, covering both theoretical and computational approaches. Specifically the authors develop a unified mathematical framework in which a Bayesian formulation of the problem provides the bedrock for the derivation, development and analysis of algorithms; the many examples used in the text, together with the algorithms which are introduced and discussed, are all illustrated by the MATLAB software detailed in the book and made freely available online. The book is organized into nine chapters: the first contains a brief introduction to the mathematical tools around which the material is organized; the next four are concerned with discrete time dynamical systems and discrete time data; the last four are concerned with continuous time dynamical systems and continuous time data and are organized analogously to the corresponding discrete time chapters. This book is aimed at mathematical researchers interested in a sy...

  9. Teaching mathematics using excel

    OpenAIRE

    Bonello, Mary Rose; Camilleri, Silvana

    2004-01-01

    'Technology is essential in teaching and learning mathematics; it influences the mathematics that is taught and enhances students' learning.' (Principles and Standards for School Mathematics-NCTM April 2000)

  10. Mathematical foundations of image processing and analysis

    CERN Document Server

    Pinoli, Jean-Charles

    2014-01-01

    Mathematical Imaging is currently a rapidly growing field in applied mathematics, with an increasing need for theoretical mathematics. This book, the second of two volumes, emphasizes the role of mathematics as a rigorous basis for imaging sciences. It provides a comprehensive and convenient overview of the key mathematical concepts, notions, tools and frameworks involved in the various fields of gray-tone and binary image processing and analysis, by proposing a large, but coherent, set of symbols and notations, a complete list of subjects and a detailed bibliography. It establishes a bridg

  11. Mathematics for common entrance three (extension) answers

    CERN Document Server

    Alexander, Serena

    2015-01-01

    This book contains answers to all exercises featured in the accompanying textbook Mathematics for Common Entrance Three (Extension) , which provides essential preparation for Level 3 of the ISEB 13+ Mathematics exam, as well as for CASE and other scholarship exams. - Clean, clear layout for easy marking. - Includes examples of high-scoring answers with diagrams and workings. Also available to purchase from the Galore Park website www.galorepark.co.uk :. - Mathematics for Common Entrance Three (Extension). - Mathematics for Common Entrance One. - Mathematics for Common Entrance One Answers. - M

  12. An Introduction to Business Mathematics

    OpenAIRE

    Henk van Elst

    2015-01-01

    These lecture notes provide a self-contained introduction to the mathematical methods required in a Bachelor degree programme in Business, Economics, or Management. In particular, the topics covered comprise real-valued vector and matrix algebra, systems of linear algebraic equations, Leontief's stationary input-output matrix model, linear programming, elementary financial mathematics, as well as differential and integral calculus of real-valued functions of one real variable. A special focus...

  13. MATHEMATICS AND COMPUTERS IN SPORT - OVERVIEW

    Directory of Open Access Journals (Sweden)

    John Hammond

    2006-12-01

    Full Text Available MATHEMATICS AND COMPUTERS IN SPORT - OVERVIEW The first 17 papers in this (December issue of the Journal of Sports Science and Medicine are selected papers from the Eighth Australasian Conference on Mathematics and Computers in Sport, held in Queensland in July 2006. Of the first seven conferences, five were held at Bond University in Queensland, one at the University of Technology in Sydney during the year of the Sydney Olympics, and the last one was in New Zealand at Massey University. The emerging discipline of mathematics and computers in sport has developed under the auspices of the Australian and New Zealand Industrial and Applied Mathematics (ANZIAM Division of the Australian Mathematics Society through an interest group known as MathSport, bringing together sports scientists who are interested inmathematical and statistical modelling in sport, the use of computers in sport, the application of these to improve coaching and individual performance, and teaching that combines mathematics, computers and sport. This eighth conference in the series returned to Queensland but not at Bond University, because campus accommodation for conference participants was no longer available at that venue. Instead delegates gathered at the Greenmount Beach Resort, which has been used during the past decade for a number of Applied Mathematics Conferences. There were 33 papers presented during the 3 days, across topics that covered a variety of individual and team sports. Participants attended from the United Kingdom, France, Germany, India, New Zealand and Australia. These participants were drawn from those working in mainstream mathematics, statistics, computers science, sports science support, coaching and education.Professor Steve Clarke and Emeritus Professor Neville de Mestre have been to all eight conferences and this year delivered papers on Australian rules football and golf putting respectively. Tony Lewis, of the Duckworth-Lewis formula for

  14. Abortion in a just society.

    Science.gov (United States)

    Hunt, M E

    1993-01-01

    A female Catholic theologian imagines a just society that does not judge women who decide to undergo an abortion. The Church, practitioners, and the courts must trust that women do make person-enhancing choices about the quality of life. In the last 15 years most progress in securing a woman's right to abortion has been limited to white, well-educated, and middle or upper middle class women. A just society would consider reproductive options a human right. Abortion providers are examples of a move to a just society; they are committed to women's well-being. There are some facts that make one pessimistic about achieving abortion in a just society. The US Supreme Court plans to review important decisions establishing abortion as a civil right. Further, some men insist on suing women who want to make their own reproductive decisions--an anti-choice tactic to wear away women's right to reproductive choice. Bombings of abortion clinics and harassment campaigns by anti-choice groups are common. These behaviors strain pro-choice proponents emotionally, psychically, and spiritually. Their tactics often lead to theologians practicing self-censorship because they fear backlash. Abortion providers also do this. Further, the reaction to AIDS is that sex is bad. Anti-abortion groups use AIDS to further their campaigns, claiming that AIDS is a punishment for sex. Strategies working towards abortion in a just society should be education and persuasion of policymakers and citizens about women's right to choose, since they are the ones most affected by abortion. Moreover, only women can secure their rights to abortion. In a just society, every health maintenance organization, insurance company, and group practice would consider abortion a normal service. A just society provides for the survival needs of the most marginalized.

  15. Pre Service Teachers' Usage of Dynamic Mathematics Software

    Science.gov (United States)

    Bulut, Mehmet; Bulut, Neslihan

    2011-01-01

    Aim of this study is about mathematics education and dynamic mathematics software. Dynamic mathematics software provides new opportunities for using both computer algebra system and dynamic geometry software. GeoGebra selected as dynamic mathematics software in this research. In this study, it is investigated that what is the usage of pre service…

  16. 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…

  17. Helping Children Learn Mathematics through Multiple Intelligences and Standards for School Mathematics.

    Science.gov (United States)

    Adams, Thomasenia Lott

    2001-01-01

    Focuses on the National Council of Teachers of Mathematics 2000 process-oriented standards of problem solving, reasoning and proof, communication, connections, and representation as providing a framework for using the multiple intelligences that children bring to mathematics learning. Presents ideas for mathematics lessons and activities to…

  18. Mathematical Modelling Approach in Mathematics Education

    Science.gov (United States)

    Arseven, Ayla

    2015-01-01

    The topic of models and modeling has come to be important for science and mathematics education in recent years. The topic of "Modeling" topic is especially important for examinations such as PISA which is conducted at an international level and measures a student's success in mathematics. Mathematical modeling can be defined as using…

  19. Discrete Mathematics and the Secondary Mathematics Curriculum.

    Science.gov (United States)

    Dossey, John

    Discrete mathematics, the mathematics of decision making for finite settings, is a topic of great interest in mathematics education at all levels. Attention is being focused on resolving the diversity of opinion concerning the exact nature of the subject, what content the curriculum should contain, who should study that material, and how that…

  20. Introducing philosophy of mathematics

    CERN Document Server

    Friend, Michele

    2014-01-01

    What is mathematics about? Does the subject-matter of mathematics exist independently of the mind or are they mental constructions? How do we know mathematics? Is mathematical knowledge logical knowledge? And how is mathematics applied to the material world? In this introduction to the philosophy of mathematics, Michele Friend examines these and other ontological and epistemological problems raised by the content and practice of mathematics. Aimed at a readership with limited proficiency in mathematics but with some experience of formal logic it seeks to strike a balance between conceptual acc

  1. Cognitive correlates of performance in advanced mathematics.

    Science.gov (United States)

    Wei, Wei; Yuan, Hongbo; Chen, Chuansheng; Zhou, Xinlin

    2012-03-01

    Much research has been devoted to understanding cognitive correlates of elementary mathematics performance, but little such research has been done for advanced mathematics (e.g., modern algebra, statistics, and mathematical logic). To promote mathematical knowledge among college students, it is necessary to understand what factors (including cognitive factors) are important for acquiring advanced mathematics. We recruited 80 undergraduates from four universities in Beijing. The current study investigated the associations between students' performance on a test of advanced mathematics and a battery of 17 cognitive tasks on basic numerical processing, complex numerical processing, spatial abilities, language abilities, and general cognitive processing. The results showed that spatial abilities were significantly correlated with performance in advanced mathematics after controlling for other factors. In addition, certain language abilities (i.e., comprehension of words and sentences) also made unique contributions. In contrast, basic numerical processing and computation were generally not correlated with performance in advanced mathematics. Results suggest that spatial abilities and language comprehension, but not basic numerical processing, may play an important role in advanced mathematics. These results are discussed in terms of their theoretical significance and practical implications. ©2011 The British Psychological Society.

  2. Reassembling mathematical practices: a philosophical-anthropological approach

    Directory of Open Access Journals (Sweden)

    Karen François

    2016-01-01

    Full Text Available In this paper we first explore h ow Wittgenstein ’ s philosophy provides a conceptual tools to discuss the possibility of the simultaneous existence of culturally different mathematical practices. We will argue that Wittgenstein ’ s later work will be a fruitful framework to serve as a philosophical background to investigate ethnomathematics ( Wittgenstein 1973 . W e will give an overview of Wittgenstein’s later work which is referred to by many researchers in the field of ethnomathematics . The central philosophical investigation concerns Wittgenstein’s shift to abandon ing the essentialist concept of language and therefore deny ing the existence of a universal language. Languages — or ‘language games’ as Wittgenstein calls them — are immersed in a form of life, in a cultural or social formation and are embedded in the totality o f communal activities. This gives rise to the idea of rationality as an invention or as a construct that emerges in specific local contexts. In the second part of the paper we introduce, analyse and compare the mathematical aspects of two activities known as string figure - making and sand drawing, to illustrate Wittgenstein ’s ideas . Base d on an ethnomathematical comparative analysis , we will argue that there is evidence of invariant and distinguishing features of a mathematical rationality , as expressed in both string figure - making and sand drawing practices, from one society to another . Finally, w e suggest that a philosop hical - anthropological approach to mathematical practices may allow us to better understand the interrelations between mathematics and cul tures. Philoso phical investigations may help the reflection on the possibility of culturally determined ethnomathematics, while an anthropological approach, using ethnographical methods, may afford new materials for the analysis of ethnomathematics and its links to the cultural context. This combined approach will help us to better

  3. Mathematical analysis I

    CERN Document Server

    Canuto, Claudio

    2015-01-01

    The purpose of the volume is to provide a support for a first course in Mathematics. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. At the elementary level the student is supposed to grasp the very essential ideas and familiarise with the corresponding key techniques. Proofs to the main results befit the intermediate level, together with several remarks and complementary notes enhancing the treatise. The last, and farthest-reaching, level requires the additional study of ...

  4. Expectations from Society

    International Nuclear Information System (INIS)

    Blowers, A.

    2008-01-01

    Prof. A. Blowers observed that the social context within which radioactive waste management is considered has evolved over time. The early period where radioactive waste was a non-issue was succeeded by a period of intense conflict over solutions. The contemporary context is more consensual, in which solutions are sought that are both technically sound and socially acceptable. Among the major issues is that of inter-generational equity embraced in the question: how long can or should our responsibility to the future extend? He pointed out the differences in timescales. On the one hand, geo-scientific timescales are very long term, emphasizing the issue of how far into the future it is possible to make predictions about repository safety. By contrast, socio cultural timescales are much shorter, focusing on the foreseeable future of one or two generations and raising the issue of how far into the future we should be concerned. He listed. the primary expectations from society which are: safety and security to alleviate undue burdens to future generations and flexibility in order to enable the future generations to have a stake in decision making. The need to reconcile the two had led to a contemporary emphasis on phased geological disposal incorporating retrievability. However, the long timescales for implementation of disposal provided for sufficient flexibility without the need for retrievability. Future generations would inevitably have sold stake in decision making. Prof. A.. Blowers pointed out that society is also concerned with participation in decision making for implementation. The key elements for success are: openness and transparency, staged process, participation, partnership, benefits to enhance the well being of communities and a democratic framework for decision making, including the ratification of key decisions and the right for communities to withdraw from the process up to a predetermined point. This approach for decision making may also have

  5. 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...

  6. Indian Vacuum Society: The Indian Vacuum Society

    Science.gov (United States)

    Saha, T. K.

    2008-03-01

    The Indian Vacuum Society (IVS) was established in 1970. It has over 800 members including many from Industry and R & D Institutions spread throughout India. The society has an active chapter at Kolkata. The society was formed with the main aim to promote, encourage and develop the growth of Vacuum Science, Techniques and Applications in India. In order to achieve this aim it has conducted a number of short term courses at graduate and technician levels on vacuum science and technology on topics ranging from low vacuum to ultrahigh vacuum So far it has conducted 39 such courses at different parts of the country and imparted training to more than 1200 persons in the field. Some of these courses were in-plant training courses conducted on the premises of the establishment and designed to take care of the special needs of the establishment. IVS also regularly conducts national and international seminars and symposia on vacuum science and technology with special emphasis on some theme related to applications of vacuum. A large number of delegates from all over India take part in the deliberations of such seminars and symposia and present their work. IVS also arranges technical visits to different industries and research institutes. The society also helped in the UNESCO sponsored post-graduate level courses in vacuum science, technology and applications conducted by Mumbai University. The society has also designed a certificate and diploma course for graduate level students studying vacuum science and technology and has submitted a syllabus to the academic council of the University of Mumbai for their approval, we hope that some colleges affiliated to the university will start this course from the coming academic year. IVS extended its support in standardizing many of the vacuum instruments and played a vital role in helping to set up a Regional Testing Centre along with BARC. As part of the development of vacuum education, the society arranges the participation of

  7. Secondary School Mathematics Teachers’ and Students’ Views on Computer Assisted Mathematics Instruction in Turkey: Mathematica Example

    OpenAIRE

    Mehmet Alper Ardıç; Tevfik İşleyen

    2017-01-01

    This study aimed at determining the secondary school mathematics teachers’ and students’ views on computer-assisted mathematics instruction (CAMI) conducted via Mathematica. Accordingly, three mathematics teachers in Adıyaman and nine 10th-grade students participated in the research. Firstly, the researchers trained the mathematics teachers in the Mathematica program, a computer algebra system (CAS) and CAMI. Then, they provided a suitable environment for teachers to practice CAMI with their ...

  8. Women in mathematics celebrating the centennial of the Mathematical Association of America

    CERN Document Server

    Greenwald, Sarah; Jensen-Vallin, Jacqueline; Mast, Maura

    2017-01-01

    This collection of refereed papers celebrates the contributions, achievements, and progress of female mathematicians, mostly in the 20th and 21st centuries. Emerging from the themed paper session “The Contributions of Women to Mathematics: 100 Years and Counting” at MAA's 2015 MathFest, this volume contains a diverse mix of current scholarship and exposition on women and mathematics, including biographies, histories, and cultural discussions. The multiplicity of authors also ensures a wide variety of perspectives. In inspiring and informative chapters, the authors featured in this volume reflect on the accomplishments of women in mathematics, showcasing the changes in mathematical culture that resulted as more women obtained tenure-track and tenured academic positions, received prestigious awards and honors, served in leadership roles in professional societies, and became more visibly active in the mathematical community. Readers will find discussions of mathematical excellence at Girton College, Cambridg...

  9. Mathematics, substance and surmise views on the meaning and ontology of mathematics

    CERN Document Server

    Davis, Philip

    2015-01-01

    The seventeen thought-provoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of mathematics. The essays address such questions as: What kind of things are mathematical objects? What kinds of assertions do mathematical statements make? How do people think and speak about mathematics?  How does society use mathematics? How have our answers to these questions changed over the last two millennia, and how might they change again in the future?   The authors include mathematicians, philosophers, computer scientists, cognitive psychologists, sociologists, educators, and mathematical historians; each brings their own expertise and insights to the discussion. Contributors to this volume: Jeremy Avigad Jody Azzouni David H. Bailey David Berlinski Jonathan M. Borwein Ernest Davis Philip J. Davis Donald Gillies Jeremy Gray Jesper Lützen Ursula Martin Kay L. O’Halloran Alison Pease Steven T. Piantadosi Lance J. Rips Micah T. Ross Nathalie Sinclair J...

  10. Unity and disunity and other mathematical essays

    CERN Document Server

    Davis, Philip J

    2015-01-01

    This book is a mathematical potpourri. Its material originated in classroom presentations, formal lectures, sections of earlier books, book reviews, or just things written by the author for his own pleasure. Written in a nontechnical fashion, this book expresses the unique vision and attitude of the author towards the role of mathematics in society. It contains observations or incidental remarks on mathematics, its nature, its impacts on education and science and technology, its personalities and philosophies. The book is directed towards the math buffs of the world and, more generally, toward

  11. Episodes in the mathematics of medieval Islam

    CERN Document Server

    Berggren, J L

    2016-01-01

    This book presents an account of selected topics from key mathematical works of medieval Islam, based on the Arabic texts themselves. Many of these works had a great influence on mathematics in Western Europe. Topics covered in the first edition include arithmetic, algebra, geometry, trigonometry, and numerical approximation; this second edition adds number theory and combinatorics. Additionally, the author has included selections from the western regions of medieval Islam—both North Africa and Spain. The author puts the works into their historical context and includes numerous examples of how mathematics interacted with Islamic society.

  12. Mexican Society of Bioelectromagnetism

    International Nuclear Information System (INIS)

    Canedo, Luis

    2008-01-01

    In July 2007 physicians, biologists and physicists that have collaborated in previous meetings of the medical branch of the Mexican Physical Society constituted the Mexican Society of Bioelectromagnetism with the purpose of promote scientific study of the interaction of electromagnetic energy (at frequencies ranging from zero Hertz through those of visible light) and acoustic energy with biological systems. A second goal was to increase the contribution of medical and biological professionals in the meetings of the medical branch of the Mexican Physical Society. The following paragraphs summarize some objectives of the Mexican Society of Bioelectromagnetism for the next two years

  13. Risk society and amoral morality

    Directory of Open Access Journals (Sweden)

    Nedeljković Radica M.

    2017-01-01

    Full Text Available The modern world is the world of change. Modernity changed all aspects of life in width and depth. The changes are so fast and so many people have impression that they are trapped in a multitude of events that they cannot understand nor control. Instead of society as a system, we are talking about society as a network of different relationships of individuals and social groups. Instead of a harmonious society as a space in which the man resides, developing their potential and needs, we are talking about society as a threatening force that destroys everything in its way as 'Moloch' (Giddens, the 'risk society' (Beck in which the doctrine produced in equal measure the conditions for prosperity, but also the risks and destruction; the simulation of society (Baudrillard which glorifies lies and deceit. Instead of society as a community, we are talking about the disappearance of society (Popper. Can we, therefore, rationally understand and express the world, the world of modernity; this world of profound change resembles the maze in which we are lost and wandering without meaning? Starting with Ulrich Beck and his theory of the risk society, the author points out that the way in which the western civilization started, which is imposed as a mandatory form for the rest of the world, leads to amoral morality. The ideology of progress, which is irrational and without a clear vision and clearly defined values, pushes us into an uncertain future of numerous risks and ever growing individualism. Thus we come to the conviction that without common values, collective values, we are lost in this world of risk. Solidarity and trust are the key values for the stable community, but they are non-existent in the risk society dominated by individualism. In the period of uncertainty in the risk society, only religion provides a healthy basis for communal living. Therefore, the way out of the crisis is not in politics, which is placed at the service of the economy, but

  14. Mathematics related anxiety: Mathematics bogeyman or not?

    Directory of Open Access Journals (Sweden)

    Videnović Marina

    2011-01-01

    Full Text Available Data of the PISA 2003 survey indicate high levels of mathematics anxiety of students in Serbia. More than half of our students worry whether they will have difficulties in mathematics class or whether they will earn poor marks. Aims of this study therefore are: examining relationship between math anxiety and achievement at mathematics literacy scale; establishing possible predictors of math anxiety and identification of students' groups in relations to their relationship towards mathematics as a subject. Mathematics anxiety is statistically negatively correlated with school achievement and achievement at mathematics literacy scale. Socio-demographic factors, motivational and cognitive aspects related to learning mathematics, perception of school and classroom climate explain 40% variance of mathematics anxiety. Based on students' relationship towards mathematics they cam be divided into three groups; while dimensions that apart them are uninterested-interested in mathematics and presence-absence of anxiety. The group displaying anxiety scores lowest among the three. Applying qualitative analysis students' and teachers' attitudes on specific issues related to teaching and learning mathematics was examined.

  15. Governance and European Civil Society

    DEFF Research Database (Denmark)

    Kutay, Acar

    This book provides a critical analysis of the European Union’s approach to ‘governance’, focusing on the way in which civil society is incorporated within the EU decision-making process and arguing that it is not conducive to the democratisation of EU governance.\

  16. How Chinese learn mathematics perspectives from insiders

    CERN Document Server

    Ngai-Ying, Wong; Lianghuo, Fan; Shiqi, Li

    2004-01-01

    The book has been written by an international group of very active researchers and scholars who have a passion for the study of Chinese mathematics education. It aims to provide readers with a comprehensive and updated picture of the teaching and learning of mathematics involving Chinese students from various perspectives, including the ways in which Chinese students learn mathematics in classrooms, schools and homes, the influence of the cultural and social environment on Chinese students' mathematics learning, and the strengths and weaknesses of the ways in which Chinese learn mathematics. Furthermore, based on the relevant research findings, the book explores the implications for mathematics education and offers sound suggestions for reform and improvement. This book is a must for anyone who is interested in the teaching and learning of mathematics concerning Chinese learners.

  17. Introduction to mathematical physics methods and concepts

    CERN Document Server

    Wong, Chun Wa

    2013-01-01

    Mathematical physics provides physical theories with their logical basis and the tools for drawing conclusions from hypotheses. Introduction to Mathematical Physics explains to the reader why and how mathematics is needed in the description of physical events in space. For undergraduates in physics, it is a classroom-tested textbook on vector analysis, linear operators, Fourier series and integrals, differential equations, special functions and functions of a complex variable. Strongly correlated with core undergraduate courses on classical and quantum mechanics and electromagnetism, it helps the student master these necessary mathematical skills. It contains advanced topics of interest to graduate students on relativistic square-root spaces and nonlinear systems. It contains many tables of mathematical formulas and references to useful materials on the Internet. It includes short tutorials on basic mathematical topics to help readers refresh their mathematical knowledge. An appendix on Mathematica encourages...

  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. 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...

  20. Tenth-Grade High School Students' Mathematical Self-Efficacy, Mathematics Anxiety, Attitudes toward Mathematics, and Performance on the New York State Integrated Algebra Regents Examination

    Science.gov (United States)

    Catapano, Michael

    2013-01-01

    Strong mathematical abilities are important for the continuation of a successful society. Mathematics is required and involved in all aspects of daily life: banking, communications, business, education, and travel are just a few examples. More specifically the areas of finance, engineering, architecture, and technology require individuals with…

  1. Mathematical foundations of biomechanics.

    Science.gov (United States)

    Niederer, Peter F

    2010-01-01

    The aim of biomechanics is the analysis of the structure and function of humans, animals, and plants by means of the methods of mechanics. Its foundations are in particular embedded in mathematics, physics, and informatics. Due to the inherent multidisciplinary character deriving from its aim, biomechanics has numerous connections and overlapping areas with biology, biochemistry, physiology, and pathophysiology, along with clinical medicine, so its range is enormously wide. This treatise is mainly meant to serve as an introduction and overview for readers and students who intend to acquire a basic understanding of the mathematical principles and mechanics that constitute the foundation of biomechanics; accordingly, its contents are limited to basic theoretical principles of general validity and long-range significance. Selected examples are included that are representative for the problems treated in biomechanics. Although ultimate mathematical generality is not in the foreground, an attempt is made to derive the theory from basic principles. A concise and systematic formulation is thereby intended with the aim that the reader is provided with a working knowledge. It is assumed that he or she is familiar with the principles of calculus, vector analysis, and linear algebra.

  2. Making Sense of Mathematics

    Science.gov (United States)

    Umphrey, Jan

    2011-01-01

    The National Council of Teachers of Mathematics (NCTM) is a voice and advocate for mathematics educators, working to ensure that all students receive equitable mathematics learning of the highest quality. To help teachers and school leaders understand the Common Core State Standards for Mathematics (CCSSM) and to point out how the CCSSM can be…

  3. Mathematics through Millenia

    DEFF Research Database (Denmark)

    Hansen, Vagn Lundsgaard

    2005-01-01

    A brief tour through the history of mathematics from the very beginnings to modern times, with an emphasis on the main contributions and important periods of mathematics in various civilizations.......A brief tour through the history of mathematics from the very beginnings to modern times, with an emphasis on the main contributions and important periods of mathematics in various civilizations....

  4. Mathematics through millenia

    DEFF Research Database (Denmark)

    Hansen, Vagn Lundsgaard

    A brief tour through the history of mathematics from the very beginnings to modern times, with an emphasis on the main contributions and important periods of mathematics in various civilizations.......A brief tour through the history of mathematics from the very beginnings to modern times, with an emphasis on the main contributions and important periods of mathematics in various civilizations....

  5. Using Mathematics, Mathematical Applications, Mathematical Modelling, and Mathematical Literacy: A Theoretical Study

    Science.gov (United States)

    Mumcu, Hayal Yavuz

    2016-01-01

    The purpose of this theoretical study is to explore the relationships between the concepts of using mathematics in the daily life, mathematical applications, mathematical modelling, and mathematical literacy. As these concepts are generally taken as independent concepts in the related literature, they are confused with each other and it becomes…

  6. Society-ethics-risk

    International Nuclear Information System (INIS)

    Ruh, H.; Seiler, H.

    1993-01-01

    The aim of the workshops which was reported in this volume, was the interpretation and evaluation of catastrophic risks for society in an interdisciplinary dialogue between representation of society, ethics, as well as natural science and technology. (author) figs., tabs., refs

  7. European Respiratory Society statement

    DEFF Research Database (Denmark)

    Miravitlles, Marc; Dirksen, Asger; Ferrarotti, Ilaria

    2017-01-01

    lung disease. A large proportion of individuals affected remain undiagnosed and therefore without access to appropriate care and treatment.The most recent international statement on AATD was published by the American Thoracic Society and the European Respiratory Society in 2003. Since then there has...

  8. World Society and Globalisation

    Science.gov (United States)

    Wittmann, Veronika

    2014-01-01

    Purpose: The purpose of this paper is to illustrate discourses on globalisation and world society and to disclose the commonalities and differences of both scientific debates. In particular, it draws attention to theoretical concepts of globalisation and world society. This is considered fruitful for comprehending the complex mechanisms of…

  9. Refractions of Civil Society

    DEFF Research Database (Denmark)

    Kuzmanovic, Daniella

    The thesis investigates various perceptions of civil society among civic activists in Turkey, and how these perceptions are produced and shaped. The thesis is an anthropological contribution to studies of civil society in general, as well as to studies on political culture in Turkey....

  10. Transformation of Neolithic Societies

    DEFF Research Database (Denmark)

    Iversen, Rune

    and prepared the way for the appearance of Bronze Age societies. The great era of megalithic architecture came to an end as the production and exchange of gold, copper and bronze objects became the driving force in the development of Copper and Bronze Age societies. This development also had a great influence...

  11. Basic Phage Mathematics.

    Science.gov (United States)

    Abedon, Stephen T; Katsaounis, Tena I

    2018-01-01

    Basic mathematical descriptions are useful in phage ecology, applied phage ecology such as in the course of phage therapy, and also toward keeping track of expected phage-bacterial interactions as seen during laboratory manipulation of phages. The most basic mathematical descriptor of phages is their titer, that is, their concentration within stocks, experimental vessels, or other environments. Various phenomena can serve to modify phage titers, and indeed phage titers can vary as a function of how they are measured. An important aspect of how changes in titers can occur results from phage interactions with bacteria. These changes tend to vary in degree as a function of bacterial densities within environments, and particularly densities of those bacteria that are susceptible to or at least adsorbable by a given phage type. Using simple mathematical models one can describe phage-bacterial interactions that give rise particularly to phage adsorption events. With elaboration one can consider changes in both phage and bacterial densities as a function of both time and these interactions. In addition, phages along with their impact on bacteria can be considered as spatially constrained processes. In this chapter we consider the simpler of these concepts, providing in particular detailed verbal explanations toward facile mathematical insight. The primary goal is to stimulate a more informed use and manipulation of phages and phage populations within the laboratory as well as toward more effective phage application outside of the laboratory, such as during phage therapy. More generally, numerous issues and approaches to the quantification of phages are considered along with the quantification of individual, ecological, and applied properties of phages.

  12. 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...

  13. Progress, Wealth, and Mathematics Achievement

    DEFF Research Database (Denmark)

    Valero, Paola

    2013-01-01

    I am interested in discussing the historical conditions that make it possible to formulate the idea that the mathematical qualifications of citizens in modern states is connected to the progress and economic development of nations. I interconnect apparently unrelated areas in an attempt to shed l......, H. (1899). Préface. L' Enseignement Mathématique, 1(1), 1-5. Popkewitz, T. S. (2008). Cosmopolitanism and the age of school reform: Science, education, and making society by making the child. New York: Routledge....... to the end of the 19th century. During the second half of the 19th century, mathematics teachers in different countries struggled to make mathematics part of the classic school curricula. During the second industrialization, the justification for the need for mathematics education was formulated in the first...... as a result, among others, of the growing series of comparative information on educational achievement and development. Such reports can be seen as performances of the comparative logic of Modernity that operates differential positioning, not only among individuals but also among nations, with respect to what...

  14. Information society studies

    CERN Document Server

    Duff, Alistair S

    2013-01-01

    We are often told that we are ""living in an information society"" or that we are ""information workers."" But what exactly do these claims mean, and how might they be verified? In this important methodological study, Alistair S. Duff cuts through the rhetoric to get to the bottom of the ""information society thesis."" Wide-ranging in coverage, this study will be of interest to scholars in information science, communication and media studies and social theory. It is a key text for the newly-unified specialism of information society studies, and an indispensable guide to the future of this disc

  15. Climate and Ancient Societies

    DEFF Research Database (Denmark)

    Climate, and human responses to it, have a strongly interconnected relationship. This when climate change occurs, the result of either natural or human causes, societies should react and adapt to these. But do they? If so, what is the nature of that change, and are the responses positive...... or negative for the long-term survival of social groups? In this volume, scholars from diverse disciplines including archaeology, geology and climate sciences explore scientific and material evidence for climate changes in the past, their causes, their effects on ancient societies and how those societies...

  16. Groups - Modular Mathematics Series

    CERN Document Server

    Jordan, David

    1994-01-01

    This text provides an introduction to group theory with an emphasis on clear examples. The authors present groups as naturally occurring structures arising from symmetry in geometrical figures and other mathematical objects. Written in a 'user-friendly' style, where new ideas are always motivated before being fully introduced, the text will help readers to gain confidence and skill in handling group theory notation before progressing on to applying it in complex situations. An ideal companion to any first or second year course on the topic.

  17. Mathematics for engineering

    CERN Document Server

    Bolton, W

    2012-01-01

    Mathematics for Engineering has been carefully designed to provide a maths course for a wide ability range, and does not go beyond the requirements of Advanced GNVQ. It is an ideal text for any pre-degree engineering course where students require revision of the basics and plenty of practice work. Bill Bolton introduces the key concepts through examples set firmly in engineering contexts, which students will find relevant and motivating. The second edition has been carefully matched to the Curriculum 2000 Advanced GNVQ units:

  18. Dispositions and changing teacher practice in mathematics

    DEFF Research Database (Denmark)

    Meaney, Tamsin; Lange, Troels; Valero, Paola

    2009-01-01

    We explore how different interpretations of learning can be integrated to form a theoretical framework for exploring teachers' perceptions of professional learning about mathematics teaching. Although it is possible to identify the separate, contributing factors that operate in mathematics...... experiences of limited value to them. Work done in mathematics education by Skovsmose and Valero combined with Kemmis and Grootenboer's work on academic architectures provide a theoretical framework that enables this complexity to be unpacked. Skovsmose considered learning to involve ascribing meaning...

  19. Mathematics++ selected topics beyond the basic courses

    CERN Document Server

    Kantor, Ida; Šámal, Robert

    2015-01-01

    Mathematics++ is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. The areas are: measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology. For each of the areas, the authors introduce basic notions, examples, and results. The presentation is clear and accessible, stressing intuitive understanding, and it includes carefully selected exercises as an integral part. Theory is comp

  20. Mathematics without boundaries surveys in pure mathematics

    CERN Document Server

    Pardalos, Panos

    2014-01-01

    The contributions in this volume have been written by eminent scientists from the international mathematical community and present significant advances in several theories, methods and problems of Mathematical Analysis, Discrete Mathematics, Geometry and their Applications. The chapters focus on both old and recent developments in Functional Analysis, Harmonic Analysis, Complex Analysis, Operator Theory, Combinatorics, Functional Equations, Differential Equations as well as a variety of Applications. The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical Sciences, and especially to graduate students looking for the  latest information.

  1. Exploring international gender differences in mathematics self-concept

    Science.gov (United States)

    Goldman, Amy D.; Penner, Andrew M.

    2013-01-01

    This study provides an international perspective on mathematics by examnnng mathematics self-concept, achievement, and the desire to enter a career involving mathematics among eighth graders in 49 countries. Using data from the Trends in International Mathematics and Science Study, this study shows that self-concept in mathematics is more closely related to the desire to enter a career using mathematics than achievement is. Further, while gender differences in mathematics self-concept are smaller in more egalitarian countries, both girls and boys have lower mathematics self-concepts and less interest in mathematics careers in these countries. These findings reveal a policy paradox: policies aimed at training the next generation of STEM professionals often highlight the need to close the gender gap, but countries with smaller gender gaps have fewer boys and girls interested in mathematics-intensive careers. We conclude by highlighting the importance of disentangling instrumental and expressive aspects of gender inequality in STEM fields. PMID:27840545

  2. Numerical mathematics

    National Research Council Canada - National Science Library

    Quarteroni, Alfio; Sacco, Riccardo; Saleri, Fausto

    2000-01-01

    ... for their qualitative and quantitative analysis. This role is also emphasized by the continual development of computers and algorithms, which make it possible nowadays, using scientific computing, to tackle problems of such a large size that real-life phenomena can be simulated providing accurate responses at affordable computational cost. The corresp...

  3. Changing Anthropology, Changing Society

    Science.gov (United States)

    Varughese, Heather

    2009-01-01

    Fifty years after the founding of the field of medical anthropology, the Society for Medical Anthropology of the American Anthropological Association held its first independent meeting on September 24-27, 2009, at Yale University. PMID:20027281

  4. American Epilepsy Society

    Science.gov (United States)

    ... for the AES Annual Meeting. More info here . Epilepsy Currents American Epilepsy Society Journal Impact Factor More ... P450 enzyme overexpression during spontaneous recurrent seizures More Epilepsy Professional News AES Status Epilepticus guideline for treatment ...

  5. Pediatric Endocrinology Nurses Society

    Science.gov (United States)

    ... Join Now International Welcome to PENS The Pediatric Endocrinology Nursing Society (PENS) is committed to the development ... nurses in the art and science of pediatric endocrinology nursing. Learn More Text1 2018 PENS Call for ...

  6. American Geriatrics Society

    Science.gov (United States)

    ... Learn More Social Media Facebook Twitter LinkedIn Instagram Social Media Bar Right Menu Annual Meeting Donate to our Foundation Contact Us American Geriatrics Society 40 Fulton St., 18th Floor New York, NY ...

  7. Society of Interventional Radiology

    Science.gov (United States)

    ... Picture yourself in L.A. Register now SIR Essentials Purchase/register Search SIR's entire catalog for educational ... Quality Improvement Clinical practice MACRA Matters Health Policy, Economics, Coding Toolkits Society of Interventional Radiology 3975 Fair ...

  8. Society of Thoracic Surgeons

    Science.gov (United States)

    ... Apply for Membership Membership Directory Pay Your Dues Industry Mailing List License & eBlast Communications Programs Advertise on ... Hotel Discount Copyright © 2017 The Society of Thoracic Surgeons. ...

  9. Valie EXPORT Society. Overlok

    Index Scriptorium Estoniae

    2001-01-01

    Valie EXPORT Society asutasid 23. okt. 1999. a. Frankfurdis Kadi Estland, Killu Sukmit ja Mari Laanemets, kui olid külastanud austria naiskunstniku Valie Exporti näitust. Rühmituse aktsioonide kirjeldus

  10. Valie EXPORT Society Rooseumis

    Index Scriptorium Estoniae

    2002-01-01

    Malmös Rooseumi Kaasaegse Kunsti Keskuses näitus "Baltic Babel". Projekt koosneb Läänemeremaade linnades tegutsevate innovatiivsete gruppide aktsioonidest. Kuraator Charles Esche. Esinejatest (Eestist Valie Export Society: Kadi Estland, Killu Sukmit)

  11. Mathematical Modeling Activities as a Useful Tool for Values Education

    Science.gov (United States)

    Doruk, Bekir Kursat

    2012-01-01

    Values education is crucial since it is one of the factors to reach success in education in broader sense and in mathematics education in particular sense. It is also important for educating next generations of societies. However, previous research showed that expected importance for values education was not given in Mathematics courses. In a few…

  12. Students' Perceptions of the Relevance of Mathematics in Engineering

    Science.gov (United States)

    Flegg, Jennifer; Mallet, Dann; Lupton, Mandy

    2012-01-01

    In this article, we report on the findings of an exploratory study into the experience of students as they learn first year engineering mathematics. Here we define engineering as the application of mathematics and sciences to the building and design of projects for the use of society [M. Kirschenman and B. Brenner, "Education for Civil…

  13. The Society for Scandinavian Art

    DEFF Research Database (Denmark)

    Grand, Karina Lykke

    2016-01-01

    The Society for Nordic Art & the Scandinavian Society [Selskabet for Nordisk Kunst & Skandinavisk Selskab]......The Society for Nordic Art & the Scandinavian Society [Selskabet for Nordisk Kunst & Skandinavisk Selskab]...

  14. Nuclear technology and society

    International Nuclear Information System (INIS)

    Suzuki, Tatsujiro; Tanaka, Yutaka; Taniguchi, Taketoshi; Oyama, Kosuke

    1999-01-01

    This special issue of Journal of the Atomic Energy Society of Japan deals with the relation between nuclear technology and society, and is composed of four papers: (1) Nuclear energy and international politics - sociotechnics around plutonium utilization; (2) Risk recognition and benefit recognition of nuclear facilities and social acceptance; (3) Environmental risk management and radioactive waste problem; and, (4) Public administration around the relation between nuclear energy and society. (1) describes the historical development of nuclear energy since its birth, focusing on how the leading countries tried to control nuclear proliferation. Peaceful utilization of nuclear energy is closely connected with the Non-proliferation problem. (1) also discusses the relation of plutonium utilization of Japan with international society. (2) discusses how nuclear facilities can be accepted by society, analyzing the background of risk recognition, in particular, of psychological character of mass society. (3) introduces an new approach (risk-based or risk-informed regulation) of environmental risk management for radioactive waste disposal problem, focusing on HLW (high-level waste). (4) explains the approach from public administration to nuclear energy and general energy policy and introduces PPA (participatory policy analysis) as a means for policy making. (M.M.)

  15. An Invitation to Mathematics

    CERN Document Server

    Schleicher, Dierk

    2011-01-01

    This "Invitation to Mathematics" consists of 14 contributions, many from the world's leading mathematicians, which introduce the readers to exciting aspects of current mathematical research. The contributions are as varied as the personalities of active mathematicians, but together they show mathematics as a rich and lively field of research. The contributions are written for interested students at the age of transition between high school and university who know high school mathematics and perhaps competition mathematics and who want to find out what current research mathematics is

  16. A Study of Visualization for Mathematics Education

    Science.gov (United States)

    Daugherty, Sarah C.

    2008-01-01

    Graphical representations such as figures, illustrations, and diagrams play a critical role in mathematics and they are equally important in mathematics education. However, graphical representations in mathematics textbooks are static, Le. they are used to illustrate only a specific example or a limited set. of examples. By using computer software to visualize mathematical principles, virtually there is no limit to the number of specific cases and examples that can be demonstrated. However, we have not seen widespread adoption of visualization software in mathematics education. There are currently a number of software packages that provide visualization of mathematics for research and also software packages specifically developed for mathematics education. We conducted a survey of mathematics visualization software packages, summarized their features and user bases, and analyzed their limitations. In this survey, we focused on evaluating the software packages for their use with mathematical subjects adopted by institutions of secondary education in the United States (middle schools and high schools), including algebra, geometry, trigonometry, and calculus. We found that cost, complexity, and lack of flexibility are the major factors that hinder the widespread use of mathematics visualization software in education.

  17. 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.

  18. Teaching Middle-Grades Mathematics through Financial Literacy

    Science.gov (United States)

    Crawford-Ferre, Heather Glynn; Wiest, Lynda R.; Vega, Stephanie

    2016-01-01

    Because financial literacy is an important skill for middle-grades students, this article suggests numerous personal financial literacy tasks for use in the mathematics classroom. Also provided are specifics for implementing one of these tasks to address mathematical content.

  19. Sexuality and Sexual Rights in Muslim Societies

    OpenAIRE

    Liz Ercevik Amado

    2009-01-01

    In August 2008, the Coalition for Sexual and Bodily Rights in Muslim Societies (CSBR) organized the CSBR Sexuality Institute, the first international Institute on sexuality and sexual rights in Muslim societies in Malaysia. Liz Amado presents how the Institute expanded the discourse, knowledge and thinking around sexuality in Muslim societies, as well as providing a unique space for the much needed exchange of information and experience among sexual rights advocates. Development (2009) 52, 59...

  20. International Conference on Mathematics and Computing

    CERN Document Server

    Giri, Debasis; Saxena, P; Srivastava, P

    2014-01-01

    This book discusses recent developments and contemporary research in mathematics, statistics and their applications in computing. All contributing authors are eminent academicians, scientists, researchers and scholars in their respective fields, hailing from around the world. The conference has emerged as a powerful forum, offering researchers a venue to discuss, interact and collaborate, and stimulating the advancement of mathematics and its applications in computer science. The book will allow aspiring researchers to update their knowledge of cryptography, algebra, frame theory, optimizations, stochastic processes, compressive sensing, functional analysis, complex variables, etc. Educating future consumers, users, producers, developers and researchers in mathematics and computing is a challenging task and essential to the development of modern society. Hence, mathematics and its applications in computer science are of vital importance to a broad range of communities, including mathematicians and computing p...

  1. Crafting by concepts fiber arts and mathematics

    CERN Document Server

    Belcastro, Sarah-Marie

    2016-01-01

    From the editors of the popular Making Mathematics with Needlework, this book presents projects that highlight the relationship between types of needlework and mathematics. Chapters start with accessible overviews presenting the interplay between mathematical concepts and craft expressions. Following sections explain the mathematics in more detail, and provide suggestions for classroom activities. Each chapter ends with specific crafting instructions. Types of needlework included are knitting, crochet, needlepoint, cross-stitch, quilting, temari balls, beading, tatting, and string art. Instructions are written as ordinary patterns, so the formatting and language will be familiar to crafters.

  2. A First Course in Applied Mathematics

    CERN Document Server

    Rebaza, Jorge

    2012-01-01

    Explore real-world applications of selected mathematical theory, concepts, and methods Exploring related methods that can be utilized in various fields of practice from science and engineering to business, A First Course in Applied Mathematics details how applied mathematics involves predictions, interpretations, analysis, and mathematical modeling to solve real-world problems. Written at a level that is accessible to readers from a wide range of scientific and engineering fields, the book masterfully blends standard topics with modern areas of application and provides the needed foundation

  3. 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...

  4. Mathematics for natural scientists fundamentals and basics

    CERN Document Server

    Kantorovich, Lev

    2016-01-01

    This book, the first in a two part series, covers a course of mathematics tailored specifically for physics, engineering and chemistry students at the undergraduate level. It is unique in that it begins with logical concepts of mathematics first encountered at A-level and covers them in thorough detail, filling in the gaps in students' knowledge and reasoning. Then the book aids the leap between A-level and university-level mathematics, with complete proofs provided throughout and all complex mathematical concepts and techniques presented in a clear and transparent manner. Numerous examples and problems (with answers) are given for each section and, where appropriate, mathematical concepts are illustrated in a physics context. This text gives an invaluable foundation to students and a comprehensive aid to lecturers. Mathematics for Natural Scientists: Fundamentals and Basics is the first of two volumes. Advanced topics and their applications in physics are covered in the second volume.

  5. Research trends in mathematics teacher education

    CERN Document Server

    Lo, Jane-Jane; Zoest, Laura RVan

    2014-01-01

    Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching.Research Trends in Mathematics Teacher Education focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers' learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to...

  6. Exploring mathematics problem-solving and proof

    CERN Document Server

    Grieser, Daniel

    2018-01-01

    Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics. Readers will not only learn strategies for solving problems and logical reasoning, but they will also learn about the importance of proofs and various proof techniques. Other topics covered include recursion, mathematical induction, graphs, counting, elementary number theory, and the pigeonhole, extremal and invariance principles. Designed to help students make the transition from secondary school to university level, this book provides readers with a refreshing look at mathematics and deep insights into universal principles that are valuable far beyond the scope of this book. Aimed especially at undergraduate and secondary school students as well as teachers, this book will appeal to anyone interested in mathematics. Only basic secondary school mathematics is requi...

  7. Feferman on foundations logic, mathematics, philosophy

    CERN Document Server

    Sieg, Wilfried

    2017-01-01

    This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman’s work on mathematical as well as specific methodological and philosophical issues that tie into mathematics. Feferman’s work was largely based in mathematical logic (namely model theory, set theory, proof theory and computability theory), but also branched out into methodological and philosophical issues, making it well known beyond the borders of the mathematics community. With regard to methodological issues, Feferman supported concrete projects. On the one hand, these projects calibrate the proof theoretic strength of subsystems of analysis and set theory and provide ways of overcoming the limitations imposed by Gödel’s incompleteness theorems through appropriate conceptual expansions. On the other, they seek to identify novel axiomatic foundations for mathematical practice, truth ...

  8. Handbook of mathematical methods in imaging

    CERN Document Server

    2015-01-01

    The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. This expanded and revised second edition contains updates to existing chapters and 16 additional entries on important mathematical methods such as graph cuts, morphology, discrete geometry, PDEs, conformal methods, to name a few. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 200 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and com...

  9. The discursive production of classroom mathematics

    Science.gov (United States)

    Smith, Kim; Hodson, Elaine; Brown, Tony

    2013-09-01

    School mathematics is a function of its discursive environment where the language being used formats mathematical activity. The paper explores this theme through an extended example in which the conduct of mathematical teaching and learning is restricted by regulative educational policies. It considers how mathematics is discursively produced by student teachers within an employment-based model of teacher education in England where there is a low university input. It is argued that teacher reflections on mathematical learning and teaching within the course are patterned discursively in line with formal curriculum framings, assessment requirements and the local demands of their placement school. Both teachers and students are subject to regulative discourses that shape their actions and as a consequence this regulation influences the forms of mathematical activity that can take place. It is shown how university sessions can provide a limited critical platform from which to interrogate these restrictions and renegotiate them.

  10. Ethnomathematics: the cultural aspects of mathematics

    Directory of Open Access Journals (Sweden)

    Milton Rosa

    2011-01-01

    Full Text Available Ethnomathematics studies the cultural aspects of mathematics. It presents mathematical concepts of the school curriculum in a way in which these concepts are related to the students¿ cultural and daily experiences, thereby enhancing their abilities to elaborate meaningful connections and deepening their understanding of mathematics. Ethnomathematical approaches to mathematics curriculum are intended to make school mathematics more relevant and meaningful for students and to promote the overall quality of their education. In this context, the implementation of an ethnomathematical perspective in the school mathematics curriculum helps to develop students' intellectual, social, emotional, and political learning by using their own unique cultural referents to impart their knowledge, skills, and attitudes. This kind of curriculum provides ways for students to maintain their identity while succeeding academically.

  11. Students' perceptions of the relevance of mathematics in engineering

    Science.gov (United States)

    Flegg, Jennifer; Mallet, Dann; Lupton, Mandy

    2012-09-01

    In this article, we report on the findings of an exploratory study into the experience of students as they learn first year engineering mathematics. Here we define engineering as the application of mathematics and sciences to the building and design of projects for the use of society [M. Kirschenman and B. Brenner, Education for Civil Engineering: A Profession of Practice, Leader. Manag. Eng. 10 (2010), p. 54]. Qualitative and quantitative data on students' views of the relevance of their mathematics study to their engineering studies and future careers in engineering was collected. The students described using a range of mathematics techniques (mathematics skills developed, mathematics concepts applied to engineering and skills developed relevant for engineering) for various usages (as a subject of study, a tool for other subjects or a tool for real world problems). We found a number of themes relating to the design of engineering mathematics curriculum emerged from the data. These included the relevance of mathematics within different engineering majors, the relevance of mathematics to future studies, the relevance of learning mathematical rigour and the effectiveness of problem-solving tasks in conveying the relevance of mathematics more effectively than other forms of assessment. We make recommendations for the design of engineering mathematics curriculum based on our findings.

  12. Matrices and society matrix algebra and its applications in the social sciences

    CERN Document Server

    Bradley, Ian

    2014-01-01

    Matrices offer some of the most powerful techniques in modem mathematics. In the social sciences they provide fresh insights into an astonishing variety of topics. Dominance matrices can show how power struggles in offices or committees develop; Markov chains predict how fast news or gossip will spread in a village; permutation matrices illuminate kinship structures in tribal societies. All these invaluable techniques and many more are explained clearly and simply in this wide-ranging book. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to

  13. The argument of mathematics

    CERN Document Server

    Aberdein, Andrew

    2014-01-01

    This book presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. It offers large array of examples ranging from the history of mathematics to formal proof verification.

  14. Mathematical knowledge in teaching

    CERN Document Server

    Rowland, Tim

    2011-01-01

    This book examines issues of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing approaches to characterizing, assessing and developing mathematical knowledge for teaching.

  15. Developing My Mathematics Identity

    Science.gov (United States)

    Gonzalez, Lidia

    2016-01-01

    Assuming the role of storyteller, the author uses her experiences as a graduate student and beginning teacher to reflect critically on issues related to mathematics, mathematics education, gender, and diversity.

  16. Journal of applied mathematics

    National Research Council Canada - National Science Library

    2001-01-01

    "[The] Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics...

  17. Semiotic Scaffolding in Mathematics

    DEFF Research Database (Denmark)

    Johansen, Mikkel Willum; Misfeldt, Morten

    2015-01-01

    This paper investigates the notion of semiotic scaffolding in relation to mathematics by considering its influence on mathematical activities, and on the evolution of mathematics as a research field. We will do this by analyzing the role different representational forms play in mathematical...... cognition, and more broadly on mathematical activities. In the main part of the paper, we will present and analyze three different cases. For the first case, we investigate the semiotic scaffolding involved in pencil and paper multiplication. For the second case, we investigate how the development of new...... in both mathematical cognition and in the development of mathematics itself, but mathematical cognition cannot itself be reduced to the use of semiotic scaffolding....

  18. Mathematics for the nonmathematician

    CERN Document Server

    Kline, Morris

    1967-01-01

    Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.

  19. Mathematical Modeling Using MATLAB

    National Research Council Canada - National Science Library

    Phillips, Donovan

    1998-01-01

    .... Mathematical Modeling Using MA MATLAB acts as a companion resource to A First Course in Mathematical Modeling with the goal of guiding the reader to a fuller understanding of the modeling process...

  20. Using assessment to individualize early mathematics instruction.

    Science.gov (United States)

    Connor, Carol McDonald; Mazzocco, Michèle M M; Kurz, Terri; Crowe, Elizabeth C; Tighe, Elizabeth L; Wood, Taffeta S; Morrison, Frederick J

    2018-02-01

    Accumulating evidence suggests that assessment-informed personalized instruction, tailored to students' individual skills and abilities, is more effective than more one-size-fits-all approaches. In this study, we evaluate the efficacy of Individualizing Student Instruction in Mathematics (ISI-Math) compared to Reading (ISI-Reading) where classrooms were randomly assigned to ISI-Math or ISI-Reading. The literature on child characteristics X instruction or skill X treatment interaction effects point to the complexities of tailoring instruction for individual students who present with constellations of skills. Second graders received mathematics instruction in small flexible learning groups based on their assessed learning needs. Results of the study (n=32 teachers, 370 students) revealed significant treatment effects on standardized mathematics assessments. With effect sizes (d) of 0.41-0.60, we show that we can significantly improve 2nd graders' mathematics achievement, including for children living in poverty, by using assessment data to individualize the mathematics instruction they receive. The instructional regime, ISI-Math, was implemented by regular classroom teachers and it led to about a 4-month achievement advantage on standardized mathematics tests when compared to students in control classrooms. These results were realized within one school year. Moreover, treatment effects were the same regardless of school-level poverty and students' gender, initial mathematics or vocabulary scores. Copyright © 2017 Society for the Study of School Psychology. Published by Elsevier Ltd. All rights reserved.

  1. Visuospatial training improves elementary students' mathematics performance.

    Science.gov (United States)

    Lowrie, Tom; Logan, Tracy; Ramful, Ajay

    2017-06-01

    Although spatial ability and mathematics performance are highly correlated, there is scant research on the extent to which spatial ability training can improve mathematics performance. This study evaluated the efficacy of a visuospatial intervention programme within classrooms to determine the effect on students' (1) spatial reasoning and (2) mathematics performance as a result of the intervention. The study involved grade six students (ages 10-12) in eight classes. There were five intervention classes (n = 120) and three non-intervention control classes (n = 66). A specifically designed 10-week spatial reasoning programme was developed collaboratively with the participating teachers, with the intervention replacing the standard mathematics curriculum. The five classroom teachers in the intervention programme presented 20 hr of activities aimed at enhancing students' spatial visualization, mental rotation, and spatial orientation skills. The spatial reasoning programme led to improvements in both spatial ability and mathematics performance relative to the control group who received standard mathematics instruction. Our study is the first to show that a classroom-based spatial reasoning intervention improves elementary school students' mathematics performance. © 2017 The British Psychological Society.

  2. Leading Undergraduate Research Projects in Mathematical Modeling

    Science.gov (United States)

    Seshaiyer, Padmanabhan

    2017-01-01

    In this article, we provide some useful perspectives and experiences in mentoring students in undergraduate research (UR) in mathematical modeling using differential equations. To engage students in this topic, we present a systematic approach to the creation of rich problems from real-world phenomena; present mathematical models that are derived…

  3. Compendium for Research in Mathematics Education

    Science.gov (United States)

    Cai, Jinfa, Ed.

    2017-01-01

    This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five…

  4. Mathematical Methods of Game and Economic Theory

    CERN Document Server

    Aubin, J-P

    1982-01-01

    This book presents a unified treatment of optimization theory, game theory and a general equilibrium theory in economics in the framework of nonlinear functional analysis. It not only provides powerful and versatile tools for solving specific problems in economics and the social sciences but also serves as a unifying theme in the mathematical theory of these subjects as well as in pure mathematics itself.

  5. Civil society sphericules

    DEFF Research Database (Denmark)

    Tufte, Thomas

    2014-01-01

    the organization strategizes about and seeks to articulate amongst Tanzanian youth. Situated in the ‘perverse confluence’ (Dagnino, 2011) between neoliberal and radical democratic agendas in the communicative practices of civil society-driven media platforms, Femina navigates between identities as an NGO, a social...... movement and a media initiative. In the context of the growing literature on social networking sites and their affordances, dynamics and structures, the case of Femina illustrates how a civil society sphericule emerges within the dynamic co-evolution of new and old media platforms. The study is furthermore...... an example of the difficult shift in civil society practice, from service provision to an agenda of public service monitoring, social accountability and community engagement....

  6. Society and education

    DEFF Research Database (Denmark)

    Moutsios, Stavros

    in Europe. Elaborating on the Castoriadian ontology, the book delves into the magma of social imaginary significations that characterise and associate pivotal epochs of the continent’s history, Classical Greece and Modernity, and exemplifies their incarnation in educational systems and in the formation...... countries. Nevertheless, as Moutsios suggests, the European tradition, notwithstanding its ideological usage by much of social sciences, contains an indissoluble critical and self-reflective dimension, which needs to be sustained and advanced in education and its cross-cultural comparison, perhaps, more......'Society and Education: An Outline of Comparison' explores the relation of society to education in Europe, as well as its comparative perspective towards overseas societies and their institutions. It is an enquiry into the social-historical institution of education and cross-cultural studies...

  7. Modern mathematics made simple

    CERN Document Server

    Murphy, Patrick

    1982-01-01

    Modern Mathematics: Made Simple presents topics in modern mathematics, from elementary mathematical logic and switching circuits to multibase arithmetic and finite systems. Sets and relations, vectors and matrices, tesselations, and linear programming are also discussed.Comprised of 12 chapters, this book begins with an introduction to sets and basic operations on sets, as well as solving problems with Venn diagrams. The discussion then turns to elementary mathematical logic, with emphasis on inductive and deductive reasoning; conjunctions and disjunctions; compound statements and conditional

  8. Introduction to mathematical fluid dynamics

    CERN Document Server

    Meyer, Richard E

    2010-01-01

    An introduction to the behavior of liquids and gases, this volume provides excellent coverage of kinematics, momentum principle, Newtonian fluid, rotating fluids, compressibility, and more. It is geared toward advanced undergraduate and graduate students of mathematics and general science, and it requires a background in calculus and vector analysis. 1971 edition.

  9. The Wonderful Gift of Mathematics

    Science.gov (United States)

    Norton, Anderson

    2015-01-01

    This theoretical analysis addresses "the unreasonable effectiveness of mathematics in the natural sciences" (Wigner, 1960). For example, how is it that ellipses--constructed by Greek geometers nearly two millennia before Kepler used them--provide such precise models for describing planetary motion? Historical models of gravity and…

  10. Journal Quality in Mathematics Education

    Science.gov (United States)

    Williams, Steven R.; Leatham, Keith R.

    2017-01-01

    We present the results of 2 studies, a citation-based study and an opinion-based study, that ranked the relative quality of 20 English-language journals that exclusively or extensively publish mathematics education research. We further disaggregate the opinion-based data to provide insights into variations in judgment of journal quality based on…

  11. Appreciation of Mathematics through Origami

    Science.gov (United States)

    Wares, Arsalan

    2013-01-01

    The purpose of this classroom note is to provide an example of how a simple origami box can be used to explore important mathematical concepts in geometry like surface area. This article describes how an origami box can be folded from a rectangular sheet of paper, then it goes on to describe how its surface area can be determined in terms of the…

  12. Science and Society Colloquium

    CERN Multimedia

    Randi, J

    1991-01-01

    Mr. Randi will give an update of his lecture to the American Physical Society on the occasion of his award of the 1989 Forum Prize. The citation said: "for his unique defense of Science and the scientific method in many disciplines, including physics, against pseudoscience, frauds and charlatans. His use of scientific techniques has contributed to refuting suspicious and fraudulent claims of paranormal results. He has contributed significantly to public understanding of important issues where science and society interact". He is a professional magician and author of many books. He worked with John Maddox, the Editor of Nature to investigate the claims of "water with memory".

  13. Advanced information society(7)

    Science.gov (United States)

    Chiba, Toshihiro

    Various threats are hiding in advanced informationalized society. As we see car accident problems in motorization society light aspects necessarily accompy shady ones. Under the changing circumstances of advanced informationalization added values of information has become much higher. It causes computer crime, hacker, computer virus to come to the surface. In addition it can be said that infringement of intellectual property and privacy are threats brought by advanced information. Against these threats legal, institutional and insurance measures have been progressed, and newly security industry has been established. However, they are not adequate individually or totally. The future vision should be clarified, and countermeasures according to the visions have to be considered.

  14. Teaching general problem-solving skills is not a substitute for, or a viable addition to, teaching mathematics

    NARCIS (Netherlands)

    Sweller, John; Clark, Richard; Kirschner, Paul A.

    2010-01-01

    Sweller, J., Clark, R., & Kirschner, P. A. (2010). Teaching general problem-solving skills is not a substitute for, or a viable addition to, teaching mathematics. Notices of the American Mathematical Society, 57, 1303-1304.

  15. Modern Versus Traditional Mathematics

    Science.gov (United States)

    Roberts, A. M.

    1974-01-01

    The effect of different secondary school mathematics syllabi on first-year performance in college-level mathematics was studied in an attempt to evaluate the syllabus change. Students with a modern mathematics background performed sigficantly better on most first-year units. A topic-by-topic analysis of results is included. (DT)

  16. Contrasts in Mathematical Challenges in A-Level Mathematics and Further Mathematics, and Undergraduate Mathematics Examinations

    Science.gov (United States)

    Darlington, Ellie

    2014-01-01

    This article describes part of a study which investigated the role of questions in students' approaches to learning mathematics at the secondary-tertiary interface, focussing on the enculturation of students at the University of Oxford. Use of the Mathematical Assessment Task Hierarchy taxonomy revealed A-level Mathematics and Further Mathematics…

  17. Mathematics and quantum mechanics

    International Nuclear Information System (INIS)

    Santander, M.

    2000-01-01

    Several episodes in the relation between Mathematics and Quantum Mechanics are discussed; and the emphasis is put in the existence of multiple and sometimes unexpected connections between ideas originating in Mathematics and in Quantum Physics. The question of the unresasonable effectiveness of Mathematics in Physics is also presented in the same light. (Author) 3 refs

  18. Mathematics Teaching as Praxis

    Science.gov (United States)

    Grootenboer, Peter; Edwards-Groves, Christine

    2014-01-01

    In this paper we argue that mathematics teaching can be conceptualised as a form of praxis. Viewing mathematics teaching as praxis foregrounds the moral nature of teaching and the educational practices that are developed in response to the educational needs in particular sites. The case for praxis in mathematics education is then made by drawing…

  19. Mathematics Teaching Today

    Science.gov (United States)

    Martin, Tami S.; Speer, William R.

    2009-01-01

    This article describes features, consistent messages, and new components of "Mathematics Teaching Today: Improving Practice, Improving Student Learning" (NCTM 2007), an updated edition of "Professional Standards for Teaching Mathematics" (NCTM 1991). The new book describes aspects of high-quality mathematics teaching; offers a model for observing,…

  20. Empowering Mathematical Practices

    Science.gov (United States)

    Coomes, Jacqueline; Lee, Hyung Sook

    2017-01-01

    Mathematics teachers want to empower students as mathematical thinkers and doers (NCTM 2000). Specific ways of thinking and doing mathematics were described in the Process Standards (NCTM 2000); they were further characterized as habits of mind (Mark, Goldenberg, and Sword 2010); and more recently, they were detailed in the Common Core's Standards…

  1. Learning Environments in Mathematics

    Science.gov (United States)

    Turner, Vanshelle E.

    2017-01-01

    Learning mathematics is problematic for most primary school age children because mathematics is rote and the memorization of steps rather than an approach to seeing relationships that builds inquiry and understanding. Therefore, the traditional "algorithmic" way of teaching mathematics has not fully prepared students to be critical…

  2. Mathematics a minimal introduction

    CERN Document Server

    Buium, Alexandru

    2013-01-01

    Pre-Mathematical Logic Languages Metalanguage Syntax Semantics Tautologies Witnesses Theories Proofs Argot Strategies Examples Mathematics ZFC Sets Maps Relations Operations Integers Induction Rationals Combinatorics Sequences Reals Topology Imaginaries Residues p-adics Groups Orders Vectors Matrices Determinants Polynomials Congruences Lines Conics Cubics Limits Series Trigonometry Integrality Reciprocity Calculus Metamodels Categories Functors Objectives Mathematical Logic Models Incompleteness Bibliography Index

  3. Masculinities in mathematics

    CERN Document Server

    Mendick, Heather

    2006-01-01

    The study of mathematics, with other ''gendered'' subjects such as science and engineering, usually attracts more male than female pupils. This book explores this phenomenon, addressing the important question of why more boys than girls choose to study mathematics. It illuminates what studying mathematics means for both students and teachers.

  4. Mathematics Connection: Contact

    African Journals Online (AJOL)

    Principal Contact. Dr. Kofi Mereku Executive Editor Department of Mathematics Education, UCE Mathematical Association of Ghana, C/o Department of Mathematics Education University College of Education of Winneba P. O. Box 25, Winneba, Ghana Phone: +233244961318. Email: dkmereku@uew.edu.gh ...

  5. Mathematical Discovery: Hadamard Resurected

    Science.gov (United States)

    Liljedahl, Peter

    2004-01-01

    In 1943 Jacques Hadamard gave a series of lectures on mathematical invention at the Ecole Libre des Hautes Etudes in New York City. These talks were subsequently published as The Psychology of Mathematical Invention in the Mathematical Field (Hadamard, 1945). In this article I present a study that mirrors the work of Hadamard. Results both…

  6. Utah's New Mathematics Core

    Science.gov (United States)

    Utah State Office of Education, 2011

    2011-01-01

    Utah has adopted more rigorous mathematics standards known as the Utah Mathematics Core Standards. They are the foundation of the mathematics curriculum for the State of Utah. The standards include the skills and understanding students need to succeed in college and careers. They include rigorous content and application of knowledge and reflect…

  7. 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…

  8. Who Can Know Mathematics?

    Science.gov (United States)

    Walshaw, Margaret

    2014-01-01

    This paper explores contemporary thinking about learning mathematics, and within that, social justice within mathematics education. The discussion first looks at mechanisms offered by conventional explanations on the emancipatory project and then moves towards more recent insights developed within mathematics education. Synergies are drawn between…

  9. Variation and Mathematics Pedagogy

    Science.gov (United States)

    Leung, Allen

    2012-01-01

    This discussion paper put forwards variation as a theme to structure mathematical experience and mathematics pedagogy. Patterns of variation from Marton's Theory of Variation are understood and developed as types of variation interaction that enhance mathematical understanding. An idea of a discernment unit comprising mutually supporting variation…

  10. Teaching Mathematics as Agape

    Science.gov (United States)

    Amidon, Joel C.

    2011-01-01

    What happens when the problem of inequitable access to mathematics is addressed by agape (pronounced agapa) or attending to the relationships students develop with mathematics? To respond to this question, this paper offers a description of the journey towards teaching mathematics as agape. First, I organized examples of equity pedagogy around the…

  11. Mathematics of Risk Taking

    Indian Academy of Sciences (India)

    Author Affiliations. K B Athreya1 2 M G Nadkarni3. Department of Mathematics Iowa State University, Ames, Iowa; I M I, Department of Mathematics, Indian Institute of Science, Bangalore, 560012, India. Department of Mathematics, University of Mumbai Kalina, Mumbai, 400098, India.

  12. Mathematical methods of electromagnetic theory

    CERN Document Server

    Friedrichs, Kurt O

    2014-01-01

    This text provides a mathematically precise but intuitive introduction to classical electromagnetic theory and wave propagation, with a brief introduction to special relativity. While written in a distinctive, modern style, Friedrichs manages to convey the physical intuition and 19th century basis of the equations, with an emphasis on conservation laws. Particularly striking features of the book include: (a) a mathematically rigorous derivation of the interaction of electromagnetic waves with matter, (b) a straightforward explanation of how to use variational principles to solve problems in el

  13. Platonism, Naturalism, and Mathematical Knowledge

    CERN Document Server

    Brown, James Robert

    2011-01-01

    This study addresses a central theme in current philosophy: Platonism vs Naturalism and provides accounts of both approaches to mathematics, crucially discussing Quine, Maddy, Kitcher, Lakoff, Colyvan, and many others. Beginning with accounts of both approaches, Brown defends Platonism by arguing that only a Platonistic approach can account for concept acquisition in a number of special cases in the sciences. He also argues for a particular view of applied mathematics, a view that supports Platonism against Naturalist alternatives. Not only does this engaging book present the Platonist-Natural

  14. Health and social research in multiethnic societies

    National Research Council Canada - National Science Library

    Nazroo, James Y

    2006-01-01

    ... in Multiethnic Societies provides essential and clear guidance on appropriate methods. Topics covered include: * * * * * * approaches to conceptualising ethnicity and understanding the context of ethnicity in modern societies ethical issues and the political context within which conducted how researchers could engage with communities and with service u...

  15. Remaking Public Spaces for Civil Society

    Science.gov (United States)

    Ranson, Stewart

    2012-01-01

    The collective action predicaments of the time require citizens to participate in remaking the governance of civil society so that they can become engaged and cooperate together. Can citizens become makers of civil society? This article draws upon Hannah Arendt's "On Revolution" to provide a theory of remaking in which citizens come together to…

  16. State or Society? We Need Both

    Science.gov (United States)

    Taylor, Jane; Appleton, Victoria

    2011-01-01

    The concept of Big Society provides inspiration--working "bottom up" to promote "collective action, reciprocity and a new, more engaged relationship between local people and public services". With so much written about the theory of the Big Society, this seems like an ideal time to put a little more practical detail into the mix. The authors argue…

  17. What Is the Problem in Problem-Based Learning in Higher Education Mathematics

    Science.gov (United States)

    Dahl, Bettina

    2018-01-01

    Problem and Project-Based Learning (PBL) emphasise collaborate work on problems relevant to society and emphases the relation between theory and practice. PBL fits engineering students as preparation for their future professions but what about mathematics? Mathematics is not just applied mathematics, but it is also a body of abstract knowledge…

  18. Inevitable randomness in discrete mathematics

    CERN Document Server

    Beck, Jozsef

    2009-01-01

    Mathematics has been called the science of order. The subject is remarkably good for generalizing specific cases to create abstract theories. However, mathematics has little to say when faced with highly complex systems, where disorder reigns. This disorder can be found in pure mathematical arenas, such as the distribution of primes, the 3n+1 conjecture, and class field theory. The purpose of this book is to provide examples--and rigorous proofs--of the complexity law: (1) discrete systems are either simple or they exhibit advanced pseudorandomness; (2) a priori probabilities often exist even when there is no intrinsic symmetry. Part of the difficulty in achieving this purpose is in trying to clarify these vague statements. The examples turn out to be fascinating instances of deep or mysterious results in number theory and combinatorics. This book considers randomness and complexity. The traditional approach to complexity--computational complexity theory--is to study very general complexity classes, such as P...

  19. An excursion through elementary mathematics

    CERN Document Server

    Caminha Muniz Neto, Antonio

    2017-01-01

    This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This first volume covers Real Numbers, Functions, Real Analysis, Systems of Equations, Limits and Derivatives, and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as we...

  20. Teach the Mathematics of Mathematicians

    Directory of Open Access Journals (Sweden)

    Peter Taylor

    2018-04-01

    Full Text Available The secondary-school mathematics curriculum is narrow in scope and technical in character; this is quite different from the nature of the discipline itself. As a result, it offers little inspiration to both students and teachers, and provides students with poor preparation for university mathematics courses and indeed for life. Over the past century, recently more than ever, there have been calls for change, for a curriculum that is true to the subject of mathematics as the creation and study of patterns and structures. While there are hopeful responses to this at the elementary level, there is almost nothing at the secondary level. Ironically, it is felt that in order to prepare students for university calculus, the secondary curriculum simply has to be what it is. This is a special case of a myth that needs to be destroyed.

  1. An excursion through elementary mathematics

    CERN Document Server

    Caminha Muniz Neto, Antonio

    This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This first volume covers Real Numbers, Functions, Real Analysis, Systems of Equations, Limits and Derivatives, and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as we...

  2. Mathematical methods for physicists a comprehensive guide

    CERN Document Server

    Arfken, George B; Harris, Frank E

    2012-01-01

    Now in its 7th edition, Mathematical Methods for Physicists continues to provide all the mathematical methods that aspiring scientists and engineers are likely to encounter as students and beginning researchers. This bestselling text provides mathematical relations and their proofs essential to the study of physics and related fields. While retaining the key features of the 6th edition, the new edition provides a more careful balance of explanation, theory, and examples. Taking a problem-solving-skills approach to incorporating theorems with applications, the book's improved focus w

  3. Rationality in Society

    NARCIS (Netherlands)

    Flache, Andreas; Dijkstra, Jacob; Wright, James D.

    2015-01-01

    Contemporary theories of rational behavior in human society augment the orthodox model of rationality both by adding various forms of bounded rationality and relaxing the assumptions of self-interest and materialistic preferences. This entry discusses how these extensions of the theory of rational

  4. The Mediated Transparent Society

    DEFF Research Database (Denmark)

    Backer, Lise

    2001-01-01

    in the mediated transparent society. The paper concludes that, based on these analyses, the mediated panopticism working on the business segment is not an effective disciplinary apparatus, which can guarantee that business corporations are carrying out important ecological or ethical improvements....

  5. Leukemia & Lymphoma Society

    Science.gov (United States)

    ... be the exclusive property of The Leukemia & Lymphoma Society which in its sole discretion may use this material as it sees fit. I agree to the terms of the Standard Photography Release.* Submit * This field is required * Please fix the validation error messages in the Form Your story was ...

  6. MARX EMBRYOLOGY OF SOCIETY

    NARCIS (Netherlands)

    WOUTERS, A

    This article presents a new interpretation of Marx's dialectical method. Marx conceived dialectics as a method for constructing a model of society. The way this model is developed is analogous to the way organisms develop according to the German embryologist Karl Ernst von Baer, and, indeed, Marx's

  7. Italian Society of Physics

    International Nuclear Information System (INIS)

    Anon.

    1987-01-01

    The abstracts of most of the papers read at the 53 National Congress of the Italian Society of Physics are presented. The Congress developed in ten sessions: high energy and elementary particle physics, physics of nuclei, condensed matter, quantum electronics, cosmic physics, geophysics, general physics, electronics and applied physics, health physics and hystory of physics. An author index is also included

  8. The Duplex Society.

    Science.gov (United States)

    Schorr, Alvin L.

    1984-01-01

    The duplex society, in which the poor live in close proximity to others but in a separate compartment, is already with us. Unless something deeply changes about family income, more than one-third of future generations will come to adulthood having spent a portion of their childhood in official poverty. (RM)

  9. Afghanistan, state and society

    DEFF Research Database (Denmark)

    Kværnø, Ole

    In June 2007, the RAND Corporation and the Royal Danish Defence College hosted a conference titled “Afghanistan: State and Society, Great Power Politics, and the Way Ahead”. The two-day event, held in Copenhagen, was attended by more than 100 politicians, scholars, academics, and representative...

  10. Radiation protection and society

    International Nuclear Information System (INIS)

    Skryabin, A.M.

    1997-01-01

    The radiological protection of population, living on the contaminated territories, is actual 10 years after the Chernobyl accident. Eventually, the whole system of countermeasures application is aimed to protect society as a complex community of individuals . The variety of levels of society, i.e. family, settlement on the whole, can be considered as certain harmonic systems differing in their public consciousness levels and lifestyles, this explain the difference in their 'behaviour' in terms of radiation protection and attitude to the information obtained. Each level of society possesses a certain degree of liberty of choice, that finally influence the magnitude and the character of dose distribution within certain population groups. In general, the dose distribution in the settlement can be explained only on the bases of 'family' analysis. This concerns the rural settlement as a society too. All rural settlement can be divided into two or three classes: with low, high and intermediate social features. Small settlements (< 100 persons), where the advanced in age persons with low material income and high degree of natural economy are applied to the first class. This results in higher doses (2-3 fold), than in the settlements with higher social level. The analysis shows that in socially 'waning' settlements the countermeasures are less efficient and the term of their action is shorter. (this class is the largest, About 50% among all the rural settlements). Due to the deterioration of the economic situation in the Republic of Belarus after 1991-1992 resulted in the increase of doses mainly in the habitants first of all of this class of settlements. It seems problematic to increase countermeasures efficiency in this class of settlements without the refuse of the accustomed lifestyle and radical improvement of social-demographic and economic conditions. The present material shows the necessity of the differential approach based on 'society-analysis' in the

  11. What is mathematical logic?

    CERN Document Server

    Crossley, J N; Brickhill, CJ; Stillwell, JC

    2010-01-01

    Although mathematical logic can be a formidably abstruse topic, even for mathematicians, this concise book presents the subject in a lively and approachable fashion. It deals with the very important ideas in modern mathematical logic without the detailed mathematical work required of those with a professional interest in logic.The book begins with a historical survey of the development of mathematical logic from two parallel streams: formal deduction, which originated with Aristotle, Euclid, and others; and mathematical analysis, which dates back to Archimedes in the same era. The streams beg

  12. Introductory discrete mathematics

    CERN Document Server

    Balakrishnan, V K

    2010-01-01

    This concise text offers an introduction to discrete mathematics for undergraduate students in computer science and mathematics. Mathematics educators consider it vital that their students be exposed to a course in discrete methods that introduces them to combinatorial mathematics and to algebraic and logical structures focusing on the interplay between computer science and mathematics. The present volume emphasizes combinatorics, graph theory with applications to some stand network optimization problems, and algorithms to solve these problems.Chapters 0-3 cover fundamental operations involv

  13. Philosophy of mathematics

    CERN Document Server

    Gabbay, Dov M; Woods, John

    2009-01-01

    One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of mat

  14. The nature of mathematics

    CERN Document Server

    Jourdain, Philip E B

    2007-01-01

    Anyone with an interest in mathematics will welcome the republication of this little volume by a remarkable mathematician who was also a logician, a philosopher, and an occasional writer of fiction and poetry. Originally published in 1913, and later included in the acclaimed anthology The World of Mathematics, Jourdain's survey shows how and why the methods of mathematics were developed, traces the development of mathematical science from the earliest to modern times, and chronicles the application of mathematics to natural science.Starting with the ancient Egyptians and Greeks, the author p

  15. The development of mathematics

    CERN Document Server

    Bell, Eric Temple

    1945-01-01

    ""This important book . . . presents a broad account of the part played by mathematics in the evolution of civilization, describing clearly the main principles, methods, and theories of mathematics that have survived from about 4000 BC to 1940.""― BooklistIn this time-honored study, one of the 20th century's foremost scholars and interpreters of the history and meaning of mathematics masterfully outlines the development of its leading ideas, and clearly explains the mathematics involved in each. According to the author, a professor of mathematics at the California Institute of Technology from

  16. Mathematics in ancient Greece

    CERN Document Server

    Dantzig, Tobias

    2006-01-01

    More than a history of mathematics, this lively book traces mathematical ideas and processes to their sources, stressing the methods used by the masters of the ancient world. Author Tobias Dantzig portrays the human story behind mathematics, showing how flashes of insight in the minds of certain gifted individuals helped mathematics take enormous forward strides. Dantzig demonstrates how the Greeks organized their precursors' melange of geometric maxims into an elegantly abstract deductive system. He also explains the ways in which some of the famous mathematical brainteasers of antiquity led

  17. Consumption in the Information Society

    Science.gov (United States)

    Zherebin, V. M.; Ermakova, N. A.; Makhrova, O. N.

    2010-01-01

    The current state of the economy in the developed countries make it possible to characterize them using concepts and terms such as the postindustrial society, the new economy, the service economy, the creative economy, the posteconomic society, the information society, the knowledge society, and the consumer society. Among these terms and…

  18. Human cloning and 'posthuman' society.

    Science.gov (United States)

    Blackford, Russell

    2005-01-01

    Since early 1997, when the creation of Dolly the sheep by somatic cell nuclear transfer was announced in Nature, numerous government reports, essays, articles and books have considered the ethical problems and policy issues surrounding human reproductive cloning. In this article, I consider what response a modern liberal society should give to the prospect of human cloning, if it became safe and practical. Some opponents of human cloning have argued that permitting it would place us on a slippery slope to a repugnant future society, comparable to that portrayed in Aldous Huxley's novel, Brave New World. I conclude that, leaving aside concerns about safety, none of the psychological or social considerations discussed in this article provides an adequate policy justification for invoking the state's coercive powers to prevent human cloning.

  19. Mathematics for physicists

    CERN Document Server

    Martin, B R

    2015-01-01

    Mathematics for Physicists is a relatively short volume covering all the essential mathematics needed for a typical first degree in physics, from a starting point that is compatible with modern school mathematics syllabuses. Early chapters deliberately overlap with senior school mathematics, to a degree that will depend on the background of the individual reader, who may quickly skip over those topics with which he or she is already familiar. The rest of the book covers the mathematics that is usually compulsory for all students in their first two years of a typical university physics degree, plus a little more. There are worked examples throughout the text, and chapter-end problem sets. Mathematics for Physicists features: * Interfaces with modern school mathematics syllabuses * All topics usually taught in the first two years of a physics degree * Worked examples throughout * Problems in every chapter, with answers to selected questions at the end of the book and full solutions on a website This text will ...

  20. Meaning in mathematics education

    CERN Document Server

    Valero, Paola; Hoyles, Celia; Skovsmose, Ole

    2005-01-01

    What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed - theoretical and practical - and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge.

  1. A Civil Society Demands Education for Good Jobs.

    Science.gov (United States)

    Murnane, Richard J.; Levy, Frank

    1997-01-01

    To educate children for a civil society, teachers should work to raise (noncollege-bound) students' skills to the levels that good jobs require. Maintaining the status quo and educating children to participate in Jeremy Rifkin's "third sector" are misguided options. The new basic skills should include hard skills (in basic mathematics,…

  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. Nuclear energy and society

    International Nuclear Information System (INIS)

    Sobajima, Makoto; Shimooka, Hiroshi; Tanaka, Yasumasa; Fujii, Yasuhiko; Misima, Tsuyoshi

    2004-01-01

    Nuclear energy has a strong relation to a society. However, due to accidents and scandals having occurred in recent years, people's reliability to nuclear energy has significantly swayed and is becoming existence of a worry. Analyzing such a situation and grasping the problem contained are serious problems for people engaging in nuclear field. In order that nuclear energy is properly used in society, communication with general public and in nuclear power plant site area are increasingly getting important as well as grasping the situation and surveying measures for overcoming the problems. On the basis of such an analysis, various activities for betterment of public acceptance of nuclear energy by nuclear industry workers, researchers and the government are proposed. (J.P.N.)

  4. Branding Cities, Changing Societies

    DEFF Research Database (Denmark)

    Ooi, Can-Seng

    Societal changes are seldom discussed in the literature on city branding. The time element is important because it highlights the fluctuating reality of society. The city brand message freezes the place but in fact, the city branding exercise is a continuous process. Society emerges too. City...... brands are supposed to accentuate the uniqueness of the city, be built from the bottom-up and reflect the city's identity. This paper highlights three paradoxes, pointing out that city branding processes can also make cities more alike, bring about societal changes and forge new city identities. A city...... branding campaign does not just present the city, it may change the city. The relationships between the branding exercise and the city are intertwined in the evolution of the place....

  5. Society and Social Power

    Directory of Open Access Journals (Sweden)

    Janani Harish

    2014-10-01

    Full Text Available Society is the source of immense power. Over the past few centuries humanity has record­ed phenomenal growth in its collective capacity for accomplishment, as reflected in the 12-fold growth in global per capita income since 1800. The remarkable achievements in living standards, longevity, science, technology, industry, education, democracy, human rights, peace and global governance are the result of the exponential development of the capacity of society to harness human energies and convert them into social power for productive purposes. Today, humanity possesses the power and capabilities needed to fully meet the multi-dimensional challenges confronting global society. The source of this energy is people. Human energy is transformed into social power by the increasing reach, frequency and complexity of human relationships. Society is a complex living network of organized relationships between people. Its power issues from channelizing our collective energies in productive ways by means of organizing principles such as coordination, systems, specialization of function, hierarchy of authority, and integration. This immense social power remains largely underutilized. Social science needs to evolve a comprehensive, trans-disciplinary understanding of the roots of social power and the process by which it is generated, distributed and applied. This knowledge is the essential foundation for formulating effective social policies capable of eradicating forever persistent poverty, unemployment and social inequality. This article is based on a series of lectures delivered by the author in the WAAS-WUC course on “Toward a Trans-disciplinary Science of Society” at Dubrovnik on September 1-3, 2014. It traces the development of social power in different fields to show that human and social capital are inexhaustible in potential. The more we harness them, the more they grow. Unleashing, directing, channeling and converting human potential into social

  6. Quality and human society

    Science.gov (United States)

    Stoll, W.

    1991-02-01

    Quality of products and services is seen as a necessity in our modern world. Quality also has important cross-links to safety in our society. It is however suggested, that human beings are living in their industrial environment under the stress of a fractured personality with anxieties and frustrations. Some cultural comparisons with other industrial nations are given. Quality control tailored to human nature is recommended.

  7. Cooking and Society

    OpenAIRE

    Teplá, Hedvika

    2012-01-01

    The bachelor thesis "Cooking and Society" focuses on cooking, a process of food preparation. The thesis analyzes cooking as a leisure activity, type of housework and it also discusses the relation between cooking and cultural identity. It focuses on the importance of national and ethnic cuisine and deals with the differences in cooking influenced by religion and social stratification. The thesis also deals with the acquisition of cooing skills and transgeneral transfer of cooking skills. It d...

  8. Man in Society

    Institute of Scientific and Technical Information of China (English)

    单祝堂

    1994-01-01

    Men usually want to have their own way.They want to thinkand act as they like.No one,however,can have his own way all thetime.A man cannot live in society without considering the interestsof others as well as his own interests.’Society’ means a groupof people with the same laws and the same way of life.People in

  9. The new totalitarian society

    OpenAIRE

    Vlajki Emil

    2011-01-01

    The new totalitarian society is a euphemized expression denoting the New World Order, which in itself denotes the American globalization. The underpinning of this mindset is rationality, which is characteristic of Western civilization. Christianity engendered rationality by introducing it through St. Thomas Aquinas, Aristotle, and especially formal logic. Since it is obvious that religion and logic cannot ultimately be harmonized, this combination has proven lethal in many cases throughout hi...

  10. Creativity In Conscience Society

    OpenAIRE

    Ion Gh. Rosca; Dumitru Todoroi

    2011-01-01

    Creativity is a result of brain activity which differentiates individuals and could ensure an important competitive advantage for persons, for companies, and for Society in general. Very innovative branches – like software industry, computer industry, car industry – consider creativity as the key of business success. Natural Intelligence Creativity can develop basic creative activities, but Artificial Intelligence Creativity, and, especially, Conscience Intelligence Creativity should be devel...

  11. Bridging different perspectives of the physiological and mathematical disciplines.

    Science.gov (United States)

    Batzel, Jerry Joseph; Hinghofer-Szalkay, Helmut; Kappel, Franz; Schneditz, Daniel; Kenner, Thomas; Goswami, Nandu

    2012-12-01

    The goal of this report is to discuss educational approaches for bridging the different perspectives of the physiological and mathematical disciplines. These approaches can enhance the learning experience for physiology, medical, and mathematics students and simultaneously act to stimulate mathematical/physiological/clinical interdisciplinary research. While physiology education incorporates mathematics, via equations and formulas, it does not typically provide a foundation for interdisciplinary research linking mathematics and physiology. Here, we provide insights and ideas derived from interdisciplinary seminars involving mathematicians and physiologists that have been conducted over the last decade. The approaches described here can be used as templates for giving physiology and medical students insights into how sophisticated tools from mathematics can be applied and how the disciplines of mathematics and physiology can be integrated in research, thereby fostering a foundation for interdisciplinary collaboration. These templates are equally applicable to linking mathematical methods with other life and health sciences in the educational process.

  12. Radiation Sensitivity of Societies

    International Nuclear Information System (INIS)

    Uray, I.; Hille, R.; Rohloff, F.

    1998-01-01

    Investigating the mean dose values as well as dose distributions of the inhabitants in a large number of settlements maybe set down, that the generally calculated mean exposure is a good measure to estimate the collective dose for a settlement or for a large region. Its uncertainty is however too high, and the dose distribution is very broad (250-300%) to estimate the external exposure of any single person. However, models may take into account more details of influencing factors. First of all the surveying of the local contamination density distribution could be more detailed and more accurate. Measure and distribution of the internal exposure (is not the subject of the present work, but it is similarly problematic. In this situation it is very difficult to search the dose-effect relationships exactly, and is also difficult to satisfy the people that their fears are unjustified. Society pays the costs of the nuclear industry and of the possible consequences as well. But society can neither control the nuclear industry nor the possible consequences at all. Both science and single people are waiting for more and detailed information. If we can not decrease the r adiation sensitivity of societies , then the consequences of Chernobyl will be growing unnecessarily, and it can strongly retard the justified development of the nuclear industry as well. (author)

  13. The new totalitarian society

    Directory of Open Access Journals (Sweden)

    Vlajki Emil

    2011-01-01

    Full Text Available The new totalitarian society is a euphemized expression denoting the New World Order, which in itself denotes the American globalization. The underpinning of this mindset is rationality, which is characteristic of Western civilization. Christianity engendered rationality by introducing it through St. Thomas Aquinas, Aristotle, and especially formal logic. Since it is obvious that religion and logic cannot ultimately be harmonized, this combination has proven lethal in many cases throughout history. For instance, the Inquisition, which, contrary to what happened at scholastic universities, severely berated rational thinking in practice. Catholicism helped carry out genocide against the Jews, and Orthodoxy is in a certain manner tied in with Stalinism. The new totalitarian society is anchored in American Protestantism. On the whole, Christian rationalism is a sphere of science, techniques and technologies efficiently employed to promote the West to the status of a society of plenty and the conception of human rights, which turn into their opposite and irrational behavior of the worst kind. An example of such inhumanity is the attack against Yugoslavia/Serbia in 1999.

  14. Stimulating Mathematical Reasoning with Simple Open-Ended Tasks

    Science.gov (United States)

    West, John

    2018-01-01

    The importance of mathematical reasoning is unquestioned and providing opportunities for students to become involved in mathematical reasoning is paramount. The open-ended tasks presented incorporate mathematical content explored through the contexts of problem solving and reasoning. This article presents a number of simple tasks that may be…

  15. Core-Plus Mathematics. What Works Clearinghouse Intervention Report

    Science.gov (United States)

    What Works Clearinghouse, 2010

    2010-01-01

    "Core-Plus Mathematics" is a four-year curriculum that replaces the traditional sequence with courses that each feature interwoven strands of algebra and functions, statistics and probability, geometry and trigonometry, and discrete mathematics. The first three courses in the series provide a common core of broadly useful mathematics,…

  16. Mathematics University Teachers' Perception of Pedagogical Content Knowledge (PCK)

    Science.gov (United States)

    Khakbaz, Azimehsadat

    2016-01-01

    Teaching mathematics in university levels is one of the most important fields of research in the area of mathematics education. Nevertheless, there is little information about teaching knowledge of mathematics university teachers. Pedagogical content knowledge (PCK) provides a suitable framework to study knowledge of teachers. The purpose of this…

  17. Contemplating Symbolic Literacy of First Year Mathematics Students

    Science.gov (United States)

    Bardini, Caroline; Pierce, Robyn; Vincent, Jill

    2015-01-01

    Analysis of mathematical notations must consider both syntactical aspects of symbols and the underpinning mathematical concept(s) conveyed. We argue that the construct of "syntax template" provides a theoretical framework to analyse undergraduate mathematics students' written solutions, where we have identified several types of…

  18. Development and Validation of the Mathematical Resilience Scale

    Science.gov (United States)

    Kooken, Janice; Welsh, Megan E.; McCoach, D. Betsy; Johnston-Wilder, Sue; Lee, Clare

    2016-01-01

    The Mathematical Resilience Scale measures students' attitudes toward studying mathematics, using three correlated factors: Value, Struggle, and Growth. The Mathematical Resilience Scale was developed and validated using exploratory and confirmatory factor analyses across three samples. Results provide a new approach to gauge the likelihood of…

  19. Ways That Preservice Teachers Integrate Children's Literature into Mathematics Lessons

    Science.gov (United States)

    Rogers, Rachelle Meyer; Cooper, Sandi; Nesmith, Suzanne M.; Purdum-Cassidy, Barbara

    2015-01-01

    Children's literature involving mathematics provides a common, natural context for the sharing of mathematics. To learn more about how preservice teachers included children's literature in their mathematics lessons, a study was conducted over two semesters during a required field experience component of an undergraduate teacher education program.…

  20. Tutorials in mathematical biosciences

    CERN Document Server

    2008-01-01

    The book offers an easy introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. The first two chapters review the concept and methodologies of phylogenetic trees; computational schemes and illustrations are given, including applications such as tracing the origin of SARS and influenza. The third chapter introduces the reader to ecological models, including predator-prey models. This chapter includes and introduction to reaction-diffusion equations, which are used to analyze the ecological models. The next chapter reviews a broad range of ongoing research in population dynamics, including evolution of dispersal models; it also features interesting mathematical theorems and lists open problems. The final chapter deals with gene frequencies under the action of migration and selection. The book is addressed to readers at the level of grad students and researchers. A background in PDEs is provided.

  1. Inter-Society Research Committee

    International Nuclear Information System (INIS)

    Akiyama, Mamoru; Higuchi, Masahisa.

    1996-01-01

    World-wide tendencies and circumstances for nuclear power cannot be said to be moving full of sail with a favorable wind, due to nuclear power plant accidents and comparatively little economical benefit. The present Nuclear Power Plant situation is that some personnel understand a need for the development from the viewpoint of efficient energy usage in the world and environmental problems like global warming. At the same time others oppose future nuclear development from the viewpoint of safety problems and economic cost. These issues may end nuclear development worldwide. Nuclear development must be considered from an international viewpoint and other various aspects. Therefore, all countries concerned should cooperative in the adjustment of research carried out by each country. Nuclear power's future must be efficient in the utilization of limited resources (money, manpower and facilities). It is concluded that the ISRC should only discuss technical matters on nuclear engineering, independent from political influence. Societies agreeing to this idea, provide the ISRC with money and/or manpower and/or facilities. The ISRC will consist of a research program committee and research task forces. Members of the Research Program Committee are the chairmen of the research task forces who are also society representatives. The Committee will discuss research programs and resources. The research task forces will consist of one society representative chairman and specialists on the program

  2. Comparison and evaluation of mathematical lactation curve ...

    African Journals Online (AJOL)

    p2492989

    A mathematical model of the lactation curve provides summary information about culling and milking strategies ..... Table 2 Statistics of the edited data for first lactation Holstein cows ..... Application of different models to the lactation curves of.

  3. Cooking Potatoes: Experimentation and Mathematical Modeling.

    Science.gov (United States)

    Chen, Xiao Dong

    2002-01-01

    Describes a laboratory activity involving a mathematical model of cooking potatoes that can be solved analytically. Highlights the microstructure aspects of the experiment. Provides the key aspects of the results, detailed background readings, laboratory procedures and data analyses. (MM)

  4. Learning mathematics from hierarchies to networks

    CERN Document Server

    Burton, Prof Leone

    2012-01-01

    How and why is mathematics taught? This book seeks to improve on our current answers. The contributors provide various perspectives in this richly cross-referenced work. Relevant to policy makers, practitioners and researchers.

  5. Mathematical Modeling Applied to Maritime Security

    OpenAIRE

    Center for Homeland Defense and Security

    2010-01-01

    Center for Homeland Defense and Security, OUT OF THE CLASSROOM Download the paper: Layered Defense: Modeling Terrorist Transfer Threat Networks and Optimizing Network Risk Reduction” Students in Ted Lewis’ Critical Infrastructure Protection course are taught how mathematic modeling can provide...

  6. Mathematical and conceptual foundations of 20th-century physics

    International Nuclear Information System (INIS)

    Emch, G.G.

    1984-01-01

    This book is primarily intended for Mathematicians, but it is also hoped that students in the physical sciences, will find here information not usually available in physics texts. The main aim of the book is to provide a unified mathematical account of the conceptual foundations of 20th-century Physics, in a form suitable for a one-year survey course in Mathematics or Mathematical Physics. Emphasis is laid on the interlocked historical development of mathematical and physical ideas. (Auth.)

  7. Developmental Relations Among Motor and Cognitive Processes and Mathematics Skills.

    Science.gov (United States)

    Kim, Helyn; Duran, Chelsea A K; Cameron, Claire E; Grissmer, David

    2018-03-01

    This study explored transactional associations among visuomotor integration, attention, fine motor coordination, and mathematics skills in a diverse sample of one hundred thirty-five 5-year-olds (kindergarteners) and one hundred nineteen 6-year-olds (first graders) in the United States who were followed over the course of 2 school years. Associations were dynamic, with more reciprocal transactions occurring in kindergarten than in the later grades. Specifically, visuomotor integration and mathematics exhibited ongoing reciprocity in kindergarten and first grade, attention contributed to mathematics in kindergarten and first grade, mathematics contributed to attention across the kindergarten year only, and fine motor coordination contributed to mathematics indirectly, through visuomotor integration, across kindergarten and first grade. Implications of examining the hierarchical interrelations among processes underlying the development of children's mathematics skills are discussed. © 2017 The Authors. Child Development © 2017 Society for Research in Child Development, Inc.

  8. Governing the Modern, Neoliberal Child through ICT Research in Mathematics Education

    DEFF Research Database (Denmark)

    Valero, Paola; Knijnik, Gelsa

    2015-01-01

    Research on the pedagogical uses of ICT for the learning of mathematics formulates cultural thesis about the desired subject of education and society, and thereby contribute to fabricate the rational, Modern, self-regulated, entrepreneurial neoliberal child. Using the Foucauldian notion...... of governmentality, the section Technology in the mathematics curriculum in the Third International Mathematics Education Research Handbook is discursively analyzed. We problematize how mathematics education research on ICT devices pedagogical technologies that steer the conduct of children to become the desired...

  9. Changes in Elementary Mathematics Teachers' Understanding of Cognitive Demand: When Adapting, Creating, and Using Mathematical Performance Tasks

    Science.gov (United States)

    Jamieson, Thad Spencer

    2015-01-01

    The use of mathematics performance tasks can provide a window into how a student is applying mathematics to various situations, how they are reasoning mathematically and how they are applying conceptual knowledge through problem solving and critical thinking. The purpose of this study was to investigate, according to the elementary mathematics…

  10. Remote access to mathematical software

    International Nuclear Information System (INIS)

    Dolan, E.; Hovland, P.; More, J.; Norris, B.; Smith, B.

    2001-01-01

    The network-oriented application services paradigm is becoming increasingly common for scientific computing. The popularity of this approach can be attributed to the numerous advantages to both user and developer provided by network-enabled mathematical software. The burden of installing and maintaining complex systems is lifted from the user, while enabling developers to provide frequent updates without disrupting service. Access to software with similar functionality can be unified under the same interface. Remote servers can utilize potentially more powerful computing resources than may be available locally. We discuss some of the application services developed by the Mathematics and Computer Science Division at Argonne National Laboratory, including the Network Enabled Optimization System (NEOS) Server and the Automatic Differentiation of C (ADIC) Server, as well as preliminary work on Web access to the Portable Extensible Toolkit for Scientific Computing (PETSc). We also provide a brief survey of related work

  11. Applying an alternative mathematics pedagogy for students with weak mathematics: meta-analysis of alternative pedagogies

    Science.gov (United States)

    Lake, Warren; Wallin, Margie; Woolcott, Geoff; Boyd, Wendy; Foster, Alan; Markopoulos, Christos; Boyd, William

    2017-02-01

    Student mathematics performance and the need for work-ready graduates to be mathematics-competent is a core issue for many universities. While both student and teacher are responsible for learning outcomes, there is a need to explicitly acknowledge the weak mathematics foundation of many university students. A systematic literature review was undertaken of identified innovations and/or interventions that may lead to improvement in student outcomes for university mathematics-based units of study. The review revealed the importance of understanding the foundations of student performance in higher education mathematics learning, especially in first year. Pre-university mathematics skills were identified as significant in student retention and mathematics success at university, and a specific focus on student pre-university mathematics skill level was found to be more effective in providing help, rather than simply focusing on a particular at-risk group. Diagnostics tools were found to be important in identifying (1) student background and (2) appropriate intervention. The studies highlighted the importance of appropriate and validated interventions in mathematics teaching and learning, and the need to improve the learning model for mathematics-based subjects, communication and technology innovations.

  12. Mathematics education for social justice

    Science.gov (United States)

    Suhendra

    2016-02-01

    Mathematics often perceived as a difficult subject with many students failing to understand why they learn mathematics. This situation has been further aggravated by the teaching and learning processes used, which is mechanistic without considering students' needs. The learning of mathematics tends to be just a compulsory subject, in which all students have to attend its classes. Social justice framework facilitates individuals or groups as a whole and provides equitable approaches to achieving equitable outcomes by recognising disadvantage. Applying social justice principles in educational context is related to how the teachers treat their students, dictates that all students the right to equal treatment regardless of their background and completed with applying social justice issues integrated with the content of the subject in order to internalise the principles of social justice simultaneously the concepts of the subject. The study examined the usefulness of implementing the social justice framework as a means of improving the quality of mathematics teaching in Indonesia involved four teacher-participants and their mathematics classes. The study used action research as the research methodology in which the teachers implemented and evaluated their use of social justice framework in their teaching. The data were collected using multiple research methods while analysis and interpretation of the data were carried out throughout the study. The findings of the study indicated that there were a number of challengesrelated to the implementation of the social justice framework. The findings also indicated that, the teachers were provided with a comprehensive guide that they could draw on to make decisions about how they could improve their lessons. The interactions among students and between the teachers and the students improved, they became more involved in teaching and learning process. Using social justice framework helped the teachers to make mathematics more

  13. 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 ...

  14. Open problems in mathematics

    CERN Document Server

    Nash, Jr, John Forbes

    2016-01-01

    The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics. Emphasis is also given to problems in interdisciplinary research for which mathematics plays a key role. This volume comprises highly selected contributions by some of the most eminent mathematicians in the international mathematical community on longstanding problems in very active domains of mathematical research. A joint preface by the two volume editors is followed by a personal farewell to John F. Nash, Jr. written by Michael Th. Rassias. An introduction by Mikhail Gromov highlights some of Nash’s legendary mathematical achievements. The treatment in this book includes open problems in the following fields: algebraic geometry, number theory, analysis, discrete mathematics, PDEs, differential geometry, topology, K-theory, game theory, fluid mechanics, dynamical systems and ergodic theory, cryptography, theoretical computer sc...

  15. Aesthetics of interdisciplinarity art and mathematics

    CERN Document Server

    Lähdesmäki, Tuuli

    2017-01-01

    This anthology fosters an interdisciplinary dialogue between the mathematical and artistic approaches in the field where mathematical and artistic thinking and practice merge. The articles included highlight the most significant current ideas and phenomena, providing a multifaceted and extensive snapshot of the field and indicating how interdisciplinary approaches are applied in the research of various cultural and artistic phenomena. The discussions are related, for example, to the fields of aesthetics, anthropology, art history, art theory, artistic practice, cultural studies, ethno-mathematics, geometry, mathematics, new physics, philosophy, physics, study of visual illusions, and symmetry studies. Further, the book introduces a new concept: the interdisciplinary aesthetics of mathematical art, which the editors use to explain the manifold nature of the aesthetic principles intertwined in these discussions.

  16. 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...

  17. 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...

  18. The Implications of American Mathematics Graduates’ Career Development on the Career Planning of Chinese Mathematics Graduates

    Directory of Open Access Journals (Sweden)

    Zhang Shuntao

    2015-01-01

    Full Text Available This article starts with an careful analysis of the factors that cause Chinese mathematics graduate’s heavy pressure in job hunting and career development, followed by a detailed introduction of American mathematics graduates’ positive employment potential and their benign career development prospect. Finally the author puts forward that mathematics majors should plan their curriculum study in relation to their future career development, with the help of systematic, professional career development consultancy and guidance. Suggestions on how to improve mathematics majors employment competitiveness are also provided in this article.

  19. Experience in presenting short courses in waste management technologies for secondary science and mathematics teachers

    International Nuclear Information System (INIS)

    Toth, W.J.; Smith, T.H.; Garcia, M.M.; Ferguson, J.E.

    1991-01-01

    The Department of Energy (DOE) and its Idaho National Engineering Laboratory (INEL) are developing educational programs that will help avert projected shortages in scientific and engineering manpower. One approach to this end is to help teachers become better prepared to teach topics that enthuse more students. INEL developed and offered a Short Course in Waste Management Technologies for Secondary Science and Mathematics Teachers. Short Course has two purposes: (1) to provide secondary-level science and mathematics teachers with training and information that will be useful to them in the classroom, and (2) to provide information on a topic of widespread interest in today's society, i.e., the management of hazardous and radioactive wastes and the restoration and preservation of the environment. This paper describes the development of the Short Course and summarizes some of the lessons learned in the preparation and presentation of such courses. 2 refs., 2 tabs

  20. A mathematical model for municipal solid waste management - A case study in Hong Kong.

    Science.gov (United States)

    Lee, C K M; Yeung, C L; Xiong, Z R; Chung, S H

    2016-12-01

    With the booming economy and increasing population, the accumulation of waste has become an increasingly arduous issue and has aroused the attention from all sectors of society. Hong Kong which has a relative high daily per capita domestic waste generation rate in Asia has not yet established a comprehensive waste management system. This paper conducts a review of waste management approaches and models. Researchers highlight that mathematical models provide useful information for decision-makers to select appropriate choices and save cost. It is suggested to consider municipal solid waste management in a holistic view and improve the utilization of waste management infrastructures. A mathematical model which adopts integer linear programming and mixed integer programming has been developed for Hong Kong municipal solid waste management. A sensitivity analysis was carried out to simulate different scenarios which provide decision-makers important information for establishing Hong Kong waste management system. Copyright © 2016 Elsevier Ltd. All rights reserved.

  1. Risk and society

    International Nuclear Information System (INIS)

    Tubiana, M.; Vrousos, C.; Pages, J.P.; Carde, C.

    1999-01-01

    This book brings together the communications presented at the colloquium 'risk and society' held in Paris (France) on November 1998. During this colloquium, the various aspects of risk and of its management were discussed by medical specialists, historians, industrialists, engineers, philosophers, lawyers, politicians and administration representatives. The first theme concerns the controversies generated by the development of some activities (genetics, bio-technologies, nuclear and radiations use). The second theme concerns the management of risks and the way to conciliate the point of view of authorities and citizens (confidence of the public with respect to experts, scientists, industrialists, government and administrative representatives, role played by the media). The debates that took place during the colloquium have shown that the public opinion concerning the nuclear activities or the new technologies greatly depends on the ideological attitudes and on the public's likes and dislikes with respect to some categories of actors (distrust with respect to public decisions, fears with respect to changes and future, nostalgia of the past). The following aspects are reviewed: Notions of risk and hazard (risk and health, risk in today's society, medicine and society, the point of view of the industrialists and of the scientific and technical specialists); from the psychological aspects of the risk to its social aspects (survey of the risk assessment battlefield, social attenuation and amplification of risk, the feeling of risks in Europe, insecurity and delinquency, controversies around radioactivity and health); the negotiation and communication about risks (risk and public health, negotiation around risks, risks and information dissemination about the public debate, communication and crisis, evolution of risk communication, comparison between American and European approaches, the Seveso directive); the public debate and the evolution of risks management (the

  2. Advances in mathematical economics

    CERN Document Server

    Maruyama, Toru

    2015-01-01

    The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories.

  3. Advances in mathematical economics

    CERN Document Server

    Maruyama, Toru

    2014-01-01

    A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research.

  4. Advances in mathematical economics

    CERN Document Server

    Yamazaki, Akira

    2006-01-01

    A lot of economic problems can formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking for effective mathematical tools for their researchers.

  5. Ideation in mathematical writing

    DEFF Research Database (Denmark)

    Misfeldt, Morten

    2007-01-01

    This paper considers idea generation during the mathematical writing process. Two contrasting explanations of the creative potential in connection to writing is presented; writing as a process of setting and obtaining rhetorical goals and writing as a process of discovery. These views...... are then related to two empirically found categories of functions that writing serves researchers in the field of mathematics, concluding that both views contributes to understanding the creative potential in relation to mathematical writing....

  6. Advances in mathematical economics

    CERN Document Server

    Yamazaki, Akira

    2006-01-01

    A lot of economic problems can formulated as constrained optimizations and equilibration of their solutions.Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking for effective mathematical tools for their researchers.

  7. Learning Mathematics through Programming

    DEFF Research Database (Denmark)

    Misfeldt, Morten; Ejsing-Duun, Stine

    2015-01-01

    In this paper we explore the potentials for learning mathematics through programming by a combination of theoretically derived potentials and cases of practical pedagogical work. We propose a model with three interdependent learning potentials as programming which can: (1) help reframe the students...... to mathematics is paramount. Analyzing two cases, we suggest a number of ways in which didactical attention to epistemic mediation can support learning mathematics....

  8. Educating mathematics teacher educators

    DEFF Research Database (Denmark)

    Højgaard, Tomas; Jankvist, Uffe Thomas

    2014-01-01

    The paper argues for a three-dimensional course design structure for future mathematics teacher educators. More precisely we describe the design and implementation of a course basing itself on: the two mathematical competencies of modelling and problem tackling, this being the first dimension......; the two mathematical topics of differential equations and stochastics, this being the second dimension; and finally a third dimension the purpose of which is to deepen the two others by means of a didactical perspective....

  9. Advances in mathematical economics

    CERN Document Server

    Maruyama, Toru

    2017-01-01

    The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories.

  10. Advances in mathematical economics

    CERN Document Server

    Maruyama, Toru

    2016-01-01

    The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories.

  11. International Mathematical Internet Olympiad

    Directory of Open Access Journals (Sweden)

    Alexander Domoshnitsky

    2012-10-01

    Full Text Available Modern Internet technologies open new possibilities in wide spectrum of traditional methods used in mathematical education. One of the areas, where these technologies can be efficiently used, is an organization of mathematical competitions. Contestants can stay at their schools or universities and try to solve as many mathematical problems as possible and then submit their solutions through Internet. Simple Internet technologies supply audio and video connection between participants and organizers.

  12. Membership in cooperative societies

    Directory of Open Access Journals (Sweden)

    Eba Gaminde Egia

    2017-12-01

    Full Text Available In this work we will analyze the practical application of one of the cooperative principles, «voluntary and free membership», referring to the entering of members in cooperative societies. We will first explain the meaning of this principle, and then bring up its normative regulation, with special emphasis on those aspects in which our autonomic laws differ, and ending with a brief reference to the economic aspect and the different ways to make contributions and their consequences.Received: 31 May 2017Accepted: 14 October 2017Published online: 22 December 2017

  13. The post Chernobyl society

    International Nuclear Information System (INIS)

    Xenofontov, Ion.

    2011-01-01

    The disaster from the nuclear power plant in Chernobyl that took place on April 26, 1986 is considered to be the worst ecologic disaster in Europe during the entire nuclear power producing history (estimated on the highest level, the seventh). The disaster had an poisonous impact on people's health and ambitions, it also gave birth to a new vision on the impact of the human factor on the universe. The post Chernobyl society is an alarming sign as regarding the human surviving perspectives, and a violent lesson on the 'global biography'. (author)

  14. Advanced information society (9)

    Science.gov (United States)

    Kamata, Hiroki

    This article discusses the U.S. and European national strategies and policies for information society. Coping with the declining competitiveness in high-tech products and Japanese technological advantages both have been trying hard to strengthen technology base and to deregulate the telecommunications services markets. The U.S. approach in 1980's, unlike its liberalist principle, has been characterized by technological protectlonism and defense-oriented policies. European Communities' approach has been more comprehensive and systematic, investing heavily telecommunication infrastructure, deregulating domestic market, and promoting cooperation of member countries. However, both of these approaches have, so far, been unable to achieve a considerable success.

  15. Connecting Science with Society

    DEFF Research Database (Denmark)

    awareness of the important questions of our society reflected in scientific research and of the answers produced by these research activities. The CRIS2010 conference, entitled “Bringing Science to Society”, therefore seeks to highlight the role of Current Research Information Systems for communicating......, for driving innovation or for disseminating results to the scientific community and beyond. And, as a look at the CRIS2010 conference program will tell, there are many more, often little known purposes for which CRIS are used. These applications stimulate with their demands the progress in designing, building...

  16. Transnationalising Civil Society?

    DEFF Research Database (Denmark)

    Jørgensen, Martin Bak

    The paper takes a transnational perspective on developing an analytical framework for understanding how transnationalism interacts with civil society and how immigrant organisations use transnational strategies to challenge the pre-given positions of immigrants within given integration......- and citizenship-regimes. Locating transnationalism as part of the political opportunity structure also indicates that the state(s) to some degree can facilitate transnationalism, directly and indirectly. A substantial part of political engagement now occurs via transnational channels. What is uncertain is to what...

  17. The plutonium society

    International Nuclear Information System (INIS)

    Mez, L.; Richter, M.

    1981-01-01

    The lectures of an institute are reported on, which took place between 25th and 27th January 1980 in Berlin. The subsequent public panel discussion with representations from the political parties is then documentated in a few press-reports. The themes of the 8 lectures are: views and facts on plutonium, plutonium as an energy resource, military aspects of the production of plutonium, economic aspects of the plutonium economy, the position of the trade unions on the industrial reconversion, the alleged inevitability of a plutonium society and the socio-political alternatives and perspectives of nuclear waste disposal. (UA) [de

  18. Mathematical Ties That Bind.

    Science.gov (United States)

    House, Peggy A.

    1994-01-01

    Describes some mathematical investigations of the necktie which includes applications of geometry, statistics, data analysis, sampling, probability, symmetry, proportion, problem solving, and business. (MKR)

  19. Mathematical fallacies and paradoxes

    CERN Document Server

    Bunch, Bryan

    1982-01-01

    Stimulating, thought-provoking analysis of the most interesting intellectual inconsistencies in mathematics, physics, and language, including being led astray by algebra (De Morgan's paradox). 1982 edition.

  20. Sixth form pure mathematics

    CERN Document Server

    Plumpton, C

    1968-01-01

    Sixth Form Pure Mathematics, Volume 1, Second Edition, is the first of a series of volumes on Pure Mathematics and Theoretical Mechanics for Sixth Form students whose aim is entrance into British and Commonwealth Universities or Technical Colleges. A knowledge of Pure Mathematics up to G.C.E. O-level is assumed and the subject is developed by a concentric treatment in which each new topic is used to illustrate ideas already treated. The major topics of Algebra, Calculus, Coordinate Geometry, and Trigonometry are developed together. This volume covers most of the Pure Mathematics required for t

  1. Mathematics in civilization

    CERN Document Server

    Resnikoff, Howard L

    2015-01-01

    Space flight, computers, lasers, and information technology ― these are but a few examples of the spectacular growth, development, and far-reaching applications of mathematics. But what of the field's past? Upon which intellectual milestones were the foundations of modern mathematics constructed? How has our comprehension of the physical universe, language, and the nature of thought itself been influenced and informed by the developments of mathematics through the ages?This lucid presentation examines how mathematics shaped and was shaped by the course of human events. In a format suited to co

  2. Mathematics at University

    DEFF Research Database (Denmark)

    Winsløw, Carl

    2015-01-01

    Mathematics is studied in universities by a large number of students. At the same time it is a field of research for a (smaller) number of university teachers. What relations, if any, exist between university research and teaching of mathematics? Can research “support” teaching? What research...... and what teaching? In this presentation we propose a theoretical framework to study these questions more precisely, based on the anthropological theory of didactics. As a main application, the links between the practices of mathematical research and university mathematics teaching are examined...

  3. Mathematics in India

    CERN Document Server

    Plofker, Kim

    2009-01-01

    Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period. Kim Plofker reexamines the few facts about Indian mathematics that have become common knowledge--such as the Indian origin of Arabic numerals--and she sets them in a larger textual and cultural framework. The book details aspects of the subject that have been largely passed over in the past, including the relationships between Indian mathematics and astronomy, and their cross-fertilizations with Islamic sc

  4. Mathematical mind-benders

    CERN Document Server

    Winkler, Peter

    2007-01-01

    Peter Winkler is at it again. Following the enthusiastic reaction to Mathematical Puzzles: A Connoisseur's Collection, Peter has compiled a new collection of elegant mathematical puzzles to challenge and entertain the reader. The original puzzle connoisseur shares these puzzles, old and new, so that you can add them to your own anthology. This book is for lovers of mathematics, lovers of puzzles, lovers of a challenge. Most of all, it is for those who think that the world of mathematics is orderly, logical, and intuitive-and are ready to learn otherwise! A pdf with errata is updated by the aut

  5. The internationalization of the Korean radiological society

    International Nuclear Information System (INIS)

    Choi, Byung Ihn; Kim, Seung Hyup; Han, Man Chung; Kim, Young Goo; Kim, Kun Sang

    1995-01-01

    Toward the beginning of the twenty-first century, the world experiences the dramatic changes in politics, economics and culture, and it is evident that the Korean medical field will not be able to survive provided it doesn't prepare ourselves to adapt to those changes. The Korean Medical Society held a forum for the active operation of the medical society, inviting several leading affiliated societies, to meet the needs of the times. This review describes the summary of the presentation that the authors made on behalf of the Korean Radiological Society in the forum, including the organization, current status of academic activity, current status of international communication, and problems encountered in the internationalization of the Korean Radiological Society

  6. The motivation of lifelong mathematics learning

    Science.gov (United States)

    Hashim Ali, Siti Aishah

    2013-04-01

    As adults, we have always learned throughout our life, but this learning is informal. Now, more career-switchers and career-upgraders who are joining universities for further training are becoming the major group of adult learners. This current situation requires formal education in courses with controlled output. Hence, lifelong learning is seen as a necessity and an opportunity for these adult learners. One characteristic of adult education is that the learners tend to bring with them life experience from their past, especially when learning mathematics. Most of them associate mathematics with the school subjects and unable to recognize the mathematics in their daily practice as mathematics. They normally place a high value on learning mathematics because of its prominent role in their prospective careers, but their learning often requires overcoming personal experience and motivating themselves to learn mathematics again. This paper reports on the study conducted on a group of adult learners currently pursuing their study. The aim of this study is to explore (i) the motivation of the adult learners continuing their study; and (ii) the perception and motivation of these learners in learning mathematics. This paper will take this into account when we discuss learners' perception and motivation to learning mathematics, as interrelated phenomena. Finding from this study will provide helpful insights in understanding the learning process and adaption of adult learners to formal education.

  7. Modelling Mathematical Reasoning in Physics Education

    Science.gov (United States)

    Uhden, Olaf; Karam, Ricardo; Pietrocola, Maurício; Pospiech, Gesche

    2012-04-01

    Many findings from research as well as reports from teachers describe students' problem solving strategies as manipulation of formulas by rote. The resulting dissatisfaction with quantitative physical textbook problems seems to influence the attitude towards the role of mathematics in physics education in general. Mathematics is often seen as a tool for calculation which hinders a conceptual understanding of physical principles. However, the role of mathematics cannot be reduced to this technical aspect. Hence, instead of putting mathematics away we delve into the nature of physical science to reveal the strong conceptual relationship between mathematics and physics. Moreover, we suggest that, for both prospective teaching and further research, a focus on deeply exploring such interdependency can significantly improve the understanding of physics. To provide a suitable basis, we develop a new model which can be used for analysing different levels of mathematical reasoning within physics. It is also a guideline for shifting the attention from technical to structural mathematical skills while teaching physics. We demonstrate its applicability for analysing physical-mathematical reasoning processes with an example.

  8. Mathematical subtleties and scientific knowledge: Francis Bacon and mathematics, at the crossing of two traditions.

    Science.gov (United States)

    Mori, Giuliano

    2017-03-01

    This article engages the much-debated role of mathematics in Bacon's philosophy and inductive method at large. The many references to mathematics in Bacon's works are considered in the context of the humanist reform of the curriculum studiorum and, in particular, through a comparison with the kinds of natural and intellectual subtlety as they are defined by many sixteenth-century authors, including Cardano, Scaliger and Montaigne. Additionally, this article gives a nuanced background to the 'subtlety' commonly thought to have been eschewed by Bacon and by Bacon's self-proclaimed followers in the Royal Society of London. The aim of this article is ultimately to demonstrate that Bacon did not reject the use of mathematics in natural philosophy altogether. Instead, he hoped that following the Great Instauration a kind of non-abstract mathematics could be founded: a kind of mathematics which was to serve natural philosophy by enabling men to grasp the intrinsic subtlety of nature. Rather than mathematizing nature, it was mathematics that needed to be 'naturalized'.

  9. Mathematics of the 19th century mathematical logic, algebra, number theory, probability theory

    CERN Document Server

    Yushkevich, A

    1992-01-01

    This multi-authored effort, Mathematics of the nineteenth century (to be fol­ lowed by Mathematics of the twentieth century), is a sequel to the History of mathematics fram antiquity to the early nineteenth century, published in three 1 volumes from 1970 to 1972. For reasons explained below, our discussion of twentieth-century mathematics ends with the 1930s. Our general objectives are identical with those stated in the preface to the three-volume edition, i. e. , we consider the development of mathematics not simply as the process of perfecting concepts and techniques for studying real-world spatial forms and quantitative relationships but as a social process as weIl. Mathematical structures, once established, are capable of a certain degree of autonomous development. In the final analysis, however, such immanent mathematical evolution is conditioned by practical activity and is either self-directed or, as is most often the case, is determined by the needs of society. Proceeding from this premise, we intend...

  10. Exploring Differential Effects of Mathematics Courses on Mathematics Achievement

    Science.gov (United States)

    Ma, Xin; McIntyre, Laureen J.

    2005-01-01

    Using data from the Longitudinal Study of Mathematics Participation (N = 1,518 students from 34 schools), we investigated the effects of pure and applied mathematics courses on mathematics achievement, controlling for prior mathematics achievement. Results of multilevel modelling showed that the effects of pure mathematics were significant after…

  11. Hands-On Mathematics: Two Cases from Ancient Chinese Mathematics

    Science.gov (United States)

    Wang, Youjun

    2009-01-01

    In modern mathematical teaching, it has become increasingly emphasized that mathematical knowledge should be taught by problem-solving, hands-on activities, and interactive learning experiences. Comparing the ideas of modern mathematical education with the development of ancient Chinese mathematics, we find that the history of mathematics in…

  12. A Capstone Mathematics Course for Prospective Secondary Mathematics Teachers

    Science.gov (United States)

    Artzt, Alice F.; Sultan, Alan; Curcio, Frances R.; Gurl, Theresa

    2012-01-01

    This article describes an innovative capstone mathematics course that links college mathematics with school mathematics and pedagogy. It describes how college juniors in a secondary mathematics teacher preparation program engage in leadership experiences that enable them to learn mathematics for teaching while developing student-centered…

  13. On Mathematical Understanding: Perspectives of Experienced Chinese Mathematics Teachers

    Science.gov (United States)

    Cai, Jinfa; Ding, Meixia

    2017-01-01

    Researchers have long debated the meaning of mathematical understanding and ways to achieve mathematical understanding. This study investigated experienced Chinese mathematics teachers' views about mathematical understanding. It was found that these mathematics teachers embrace the view that understanding is a web of connections, which is a result…

  14. Using Mathematics Literature with Prospective Secondary Mathematics Teachers

    Science.gov (United States)

    Jett, Christopher C.

    2014-01-01

    Literature in mathematics has been found to foster positive improvements in mathematics learning. This manuscript reports on a mathematics teacher educator's use of literature via literature circles with 11 prospective secondary mathematics teachers in a mathematics content course. Using survey and reflection data, the author found that…

  15. 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…

  16. Mathematical Interventions for Secondary Students with Learning Disabilities and Mathematics Difficulties: A Meta-Analysis

    Science.gov (United States)

    Jitendra, Asha K.; Lein, Amy E.; Im, Soo-hyun; Alghamdi, Ahmed A.; Hefte, Scott B.; Mouanoutoua, John

    2018-01-01

    This meta-analysis is the first to provide a quantitative synthesis of empirical evaluations of mathematical intervention programs implemented in secondary schools for students with learning disabilities and mathematics difficulties. Included studies used a treatment-control group design. A total of 19 experimental and quasi-experimental studies…

  17. Experiences of Student Mathematics-Teachers in Computer-Based Mathematics Learning Environment

    Science.gov (United States)

    Karatas, Ilhan

    2011-01-01

    Computer technology in mathematics education enabled the students find many opportunities for investigating mathematical relationships, hypothesizing, and making generalizations. These opportunities were provided to pre-service teachers through a faculty course. At the end of the course, the teachers were assigned project tasks involving…

  18. Coaching in Early Mathematics.

    Science.gov (United States)

    Germeroth, Carrie; Sarama, Julie

    2017-01-01

    Falling scores in math have prompted a renewed interest in math instruction at early ages. By their own admission, early childhood educators are generally underprepared and not always comfortable teaching math. Professional development (PD) in early mathematics is widely considered a main way to increase teachers' skills and efficacy (e.g., Guskey, 2000; Hyson & Woods, 2014; Munby, Russell, & Martin, 2001; Piasta, Logan, Pelatti, Capps, & Petrill, 2015; Richardson & Placier, 2001; Sarama, Clements, Wolfe, & Spitler, 2016; Sarama & DiBiase, 2004; Zaslow, 2014). However, it has been documented that stand-alone PD is not as effective in changing practice (e.g., Biancarosa & Bryk, 2011; Garet et al., 2008; Guskey, 2000; Hyson & Woods, 2014; Institute of Medicine and National Research Council, 2015; Joyce & Showers, 2002; Zaslow, 2014). Site-embedded ongoing support in the form of coaching or mentoring has been shown to be critical for successful implementation (Neuman & Cunningham, 2009; Powell, Diamond, Burchinal, & Koehler, 2010). In this chapter, we describe coaching models and abstract characteristics of effective coaching from the research. With this background, we provide an in-depth view of the coaching aspect of two large empirical studies in early mathematics. We introduce the theoretical framework from which the coaching models for these projects were developed and describe the research on which they were based. We then summarize how the planned models were instantiated and challenges to their implementation within each project. In the final section, we summarize what we have learned and described implications and challenges for the field. © 2017 Elsevier Inc. All rights reserved.

  19. Nuclear power and modern society

    International Nuclear Information System (INIS)

    Komarek, A.

    1999-01-01

    A treatise consisting of the following sections: Development of modern society (Origin of modern society; Industrial society; The year 1968; Post-industrial society; Worldwide civic society); Historic breaks in the development of the stationary power sector (Stationary thermal power; Historic breaks in the development of nuclear power); Czech nuclear power engineering in the globalization era (Major causes of success of Czech nuclear power engineering; Future of Czech nuclear power engineering). (P.A.)

  20. Mathematical foundations of event trees

    International Nuclear Information System (INIS)

    Papazoglou, Ioannis A.

    1998-01-01

    A mathematical foundation from first principles of event trees is presented. The main objective of this formulation is to offer a formal basis for developing automated computer assisted construction techniques for event trees. The mathematical theory of event trees is based on the correspondence between the paths of the tree and the elements of the outcome space of a joint event. The concept of a basic cylinder set is introduced to describe joint event outcomes conditional on specific outcomes of basic events or unconditional on the outcome of basic events. The concept of outcome space partition is used to describe the minimum amount of information intended to be preserved by the event tree representation. These concepts form the basis for an algorithm for systematic search for and generation of the most compact (reduced) form of an event tree consistent with the minimum amount of information the tree should preserve. This mathematical foundation allows for the development of techniques for automated generation of event trees corresponding to joint events which are formally described through other types of graphical models. Such a technique has been developed for complex systems described by functional blocks and it is reported elsewhere. On the quantification issue of event trees, a formal definition of a probability space corresponding to the event tree outcomes is provided. Finally, a short discussion is offered on the relationship of the presented mathematical theory with the more general use of event trees in reliability analysis of dynamic systems

  1. Mathematical Competence of a Child - Life Success of an Adult

    Directory of Open Access Journals (Sweden)

    Tina Bregant

    2017-10-01

    Full Text Available Aims: To provide a brief overview of literature studying the relationship between mathematical competences in childhood and adult life success measured in academic achievements, socioeconomic status, and health measures. Results: Mathematical competences are determined by the ability to process mathematical symbols and quantity determination which is partially inborn. We can stimulate mathematical abilities by preschool stimulation, which leads to a less difficult behavioural pattern. Better mathematical competences correlate with positive socio-emotional control and positive attitudes towards learning and school which contribute to a more engaged academic life-style. Higher mathematical achievements correlate with better paid positions and also increased gross domestic product (GDP on the national level. The Study of Mathematically Precocious Youth showed that their adult careers, accomplishments, and psychological well-being far exceeded base-rate expectations. On the other hand, children who are born preterm or near term experience mathematical learning difficulties which, despite the absence of overt health problems, present an obstacle into leading an otherwise fulfilling life. Conclusions: We can conclude from the findings, that mathematical precocity early in life predicts later creative contributions and leadership in critical occupational roles. Mathematical abilities are partially inborn. However, mathematical literacy can be further nurtured in preschool and school programmes. Since it is connected to a higher prosperity on individual as well as on national level, mathematical intervention should be offered especially to those who are underprivileged. When stimulating mathematical competences, a greater prosperity for all can be anticipated.

  2. The Impact of Civil Society Organizations on Sustainable ...

    African Journals Online (AJOL)

    Toshiba

    society organizations appear to play important role in social, political and economic ... depend on the effectiveness and efficiency of its civil societies. This ..... media provided a strong leadership and organized protests against unpopular ...

  3. Advances in mechanics and mathematics

    CERN Document Server

    Ogden, Ray

    2002-01-01

    Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multi-disciplinary publications. This volume, AMMA 2002, includes two parts with three articles by four subject experts. Part 1 deals with nonsmooth static and dynamic systems. A systematic mathematical theory for multibody dynamics with unilateral and frictional constraints and a brief introduction to hemivariational inequalities together with some new developments in nonsmooth semi-linear elliptic boundary value problems are presented. Part 2 provides a comprehensive introduction and the latest research on dendritic growth in fluid mechanics, one of the most profound and fundamental subjects in the area of interfacial pattern formation, a commonly observed phenomenon in crystal growth and solidification processes.

  4. Communicating Science to Society

    Science.gov (United States)

    Illingworth, Samuel; Muller, Jennifer; Leather, Kimberley; Morgan, William; O'Meara, Simon; Topping, David; Booth, Alastair; Llyod, Gary; Young, Dominique; Bannan, Thomas; Simpson, Emma; Percival, Carl; Allen, Grant; Clark, Elaine; Muller, Catherine; Graves, Rosemarie

    2014-05-01

    "Nothing in science has any value to society if it is not communicated." So goes the 1952 quote from Anne Roe, the noted twentieth century American psychologist and writer. She went on to say that "scientists are beginning to learn their social obligations", and now over 60 years later there is certainly evidence to support her assertions. As scientists, by communicating our research to the general public we not only better inform the tax payer where their money is being spent, but are also able to help put into context the topical environmental challenges and issues that society faces, as well as inspiring a whole new generation of future scientists. This process of communication is very much a two-way street; by presenting our work to people outside of our usual spheres of contemporaries, we expose ourselves to alternative thoughts and insights that can inspire us, as scientists, to take another look at our research from angles that we had never before considered. This work presents the results and experiences from a number of public engagement and outreach activities across the UK, in which geoscientists engaged and interacted with members of the general public. These include the design and implementation of Raspberry Pi based outreach activities for several hundred high school students; the process of running a successful podcast (http://thebarometer.podbean.com); hosting and participating in science events for thousands of members of the general public (e.g. http://www.manchestersciencefestival.com and http://sse.royalsociety.org/2013); and creating a citizen science activity that involved primary school children from across the UK. In communicating their research it is imperative that scientists interact with their audience in an effective and engaging manner, whether in an international conference, a classroom, or indeed down the pub. This work also presents a discussion of how these skills can be developed at an early stage in the careers of a research

  5. Nanotechnology and society

    International Nuclear Information System (INIS)

    Keller, Kenneth H.

    2007-01-01

    Past experience has shown that the successful introduction of a new technology requires careful attention to the interactions between the technology and society. These interactions are bi-directional: on the one hand, technology changes and challenges social patterns and, on the other hand, the governance structures and values of the society affect progress in developing the technology. Nanotechnology is likely to be particularly affected by these kinds of interactions because of its great promise and the unusually early public attention it has received. Moreover, it represents a new kind of experiment in packaging a rather wide range of fundamental research activities under a single 'mission-like' umbrella. Although this gives it more impetus as a field, it sets a higher bar for showing successful applications early on and because it links disparate fields, regulatory regimes reasonable for one kind of nanotechnology development may be inappropriately extended to others. There are a number of lessons to be gleaned from experience with the introduction of other technologies, which offer guidance with respect to what pitfalls to avoid and what issues to be sensitive to as we move forward with the development of nanotechnology applications. The problems encountered by nuclear power point out the dangers of over-promising and the role the need for the technology plays in ameliorating fears of risk. The public reaction to biomedical engineering and biotechnology highlights, in addition, the cultural factors that come into play when technologies raise questions about what is 'natural' and what is 'foreign' and what conceptions are involved in defining 'personhood'. In all cases, it has been clear that a main task for those introducing new technology is building public trust-in the safety of the technologies and the integrity of those introducing it. The advocates of nanotechnology have already shown that they are generally aware of the need to consider the public

  6. CULTUROLOGICAL APPROACH AS METHODOLOGICAL BASIS OF MATHEMATICAL EDUCATION

    Directory of Open Access Journals (Sweden)

    Ye. A. Perminov

    2017-01-01

    Full Text Available Introduction. Today, in the era of a mathematization of science and total expansion of digital technologies, mass mathematical education becomes a necessary part of culture of every person. However, there are some serious obstacles to formation and development of general mathematical culture: insufficient understanding of its importance by society and the state; fragmentary-clipconsciousness, emerging among representatives of the younger generation under the influence of the Internet, and preventing formation of a complete picture of the modern world; traditional system of disjointed subjects and courses in school, secondary vocational and high school mathematics education; non-cognitive (automatic transferring of the approaches, principles, technologies and techniques into training which are not specific in order to master a course. Development of sociological, axiological and especially culturological aspects of mathematical methodology is required for the solution of the urgent problems of methodology in mathematical education.The aim of the publication is to discuss methodological aspects of culturological approach realization in mathematical education.Methodology and research methods. The theoretical scientific methods of the present article involve analysis and synthesis of the content of philosophical, mathematical, pedagogical, methodological literature and normative documents; comparative, culturological and logical types of analysis of mathematical education; systematic, competence-based, practice-oriented and personal-activity metho-dological approaches were used to understand the concept of mathematical education.Results and scientific novelty. The practicability and leading role of culturological approach to promoting mathematical knowledge is proved from historical, philosophical and pedagogical positions. It is stated that objective conceptualization of progressive ideas and new methods of mathematical science and mathematical

  7. A synthesis of mathematics writing: Assessments, interventions, and surveys

    Directory of Open Access Journals (Sweden)

    Sarah R. Powell

    2017-02-01

    Full Text Available Mathematics standards in the United States describe communication as an essential part of mathematics. One outlet for communication is writing. To understand the mathematics writing of students, we conducted a synthesis to evaluate empirical research about mathematics writing. We identified 29 studies that included a mathematics-writing assessment, intervention, or survey for students in 1st through 12th grade. All studies were published between 1991 and 2015. The majority of assessments required students to write explanations to mathematical problems, and fewer than half scored student responses according to a rubric. Approximately half of the interventions involved the use of mathematics journals as an outlet for mathematics writing. Few intervention studies provided explicit direction on how to write in mathematics, and a small number of investigations provided statistical evidence of intervention efficacy. From the surveys, the majority of students expressed enjoyment when writing in mathematics settings but teachers reported using mathematics writing rarely. Across studies, findings indicate mathematics writing is used for a variety of purposes, but the quality of the studies is variable and more empirical research is needed.

  8. Proof and knowledge in mathematics

    CERN Document Server

    Detlefsen, Michael

    2005-01-01

    These questions arise from any attempt to discover an epistemology for mathematics. This collection of essays considers various questions concerning the nature of justification in mathematics and possible sources of that justification. Among these are the question of whether mathematical justification is a priori or a posteriori in character, whether logical and mathematical differ, and if formalization plays a significant role in mathematical justification,

  9. Predicting Relationships between Mathematics Anxiety, Mathematics Teaching Anxiety, Self-efficacy Beliefs towards Mathematics and Mathematics Teaching

    OpenAIRE

    Unlu, Melihan; Ertekin, Erhan; Dilmac, Bulent

    2017-01-01

    The purpose of the research is to investigate the relationships betweenself-efficacy beliefs toward mathematics, mathematics anxiety and self-efficacybeliefs toward mathematics teaching, mathematics teaching anxiety variables andtesting the relationships between these variables with structural equationmodel. The sample of the research, which was conducted in accordance withrelational survey model, consists of 380 university students, who studied atthe department of Elementary Mathematics Educ...

  10. Libraries in society

    DEFF Research Database (Denmark)

    Kristiansson, Michael; Skouvig, Laura Henriette Christine

    2008-01-01

    The purpose of the paper is to investigate the phenomenon of openness in relation to library development. The term openness is presented and related to library development from historical and theoretical perspectives. The paper elaborates on the differences over time on to how openness has been...... understood in a library setting. Historically, openness in form of the open shelves played a crucial role in developing the modern public library. The paper examines this openness-centred library policy as adopted by Danish public libraries in the beginning of the 20th century by applying the theories...... by Michel Foucault on discourse and power to the introduction of open shelves. Furthermore, the paper discusses current challenges facing the modern public library in coping with openness issues that follow from changes in society and advances in technology. These influences and developments are not least...

  11. Behaviorism and Society.

    Science.gov (United States)

    Krapfl, Jon E

    2016-05-01

    A probable list of causes for the limited acceptance of behaviorism in our society is identified. This is followed by a summary review of the proposed solutions identified in other papers in this special issue of The Behavior Analyst, most of which relate to either better marketing of either the behavior analytic process or the results achieved as a consequence. One paper proposes a more broad conception of behavior analysis. This paper endorses the solutions identified in previous papers and then goes on to propose an even more broad conception of behavior analysis and makes the point that behavior analysis is unlikely to flourish unless behavior analysts understand a good deal more about the cultural and other contextual features of the environments in which they work.

  12. Making Sense for Society

    Science.gov (United States)

    van der Heide, J. J.; Grus, M. M.; Nouwens, J. C. A. J.

    2017-09-01

    The Netherlands is a densely populated country. Cities in the metropolitan area (Randstad) will be growing at a fast pace in the coming decades1. Cities like Amsterdam and Rotterdam are being overrun by tourists. Climate change effects are noticed in cities (heavy rains for instance). Call for circular economy rises. Traffic increases. People are more self-reliant. Public space is shared by many functions. These challenges call for smart answers, more specific and directly than ever before. Sensor data is a cornerstone of these answers. In this paper we'll discuss the approaches of Dutch initiatives using sensor data as the new language to live a happy life in our cities. Those initiatives have been bundled in a knowledge platform called "Making sense for society" 1 https://www.cbs.nl/nl-nl/nieuws/2016/37/pbl-cbs-prognose-groei-steden-zet-door (in dutch)

  13. Nuclear Research and Society

    Energy Technology Data Exchange (ETDEWEB)

    Eggermont, G

    2000-07-01

    In 1998, SCK-CEN took the initiative to include social sciences and humanities into its research programme. Within this context, four projects were defined, respectively on sustainability and nuclear development; transgenerational ethics related to the disposal of long-lived radioactive waste; legal aspects and liability; emergency communication and risk perception. Two reflection groups were established, on expert culture and ethical choices respectively, in order to deepen insight while creating exchange of disciplinary approaches of the committed SCK-CEN researchers and social scientists. Within the context of SCK-CEN's social sciences and humanities programme, collaborations with various universities were initiated, teams consisting of young doctorate and post-doctorate researchers and university promotors with experience in interaction processes of technology with society were established and steering committees with actors and external experts were set up for each project. The objectives and main achievements in the four projects are summarised.

  14. Nuclear Research and Society

    International Nuclear Information System (INIS)

    Eggermont, G.

    2000-01-01

    In 1998, SCK-CEN took the initiative to include social sciences and humanities into its research programme. Within this context, four projects were defined, respectively on sustainability and nuclear development; transgenerational ethics related to the disposal of long-lived radioactive waste; legal aspects and liability; emergency communication and risk perception. Two reflection groups were established, on expert culture and ethical choices respectively, in order to deepen insight while creating exchange of disciplinary approaches of the committed SCK-CEN researchers and social scientists. Within the context of SCK-CEN's social sciences and humanities programme, collaborations with various universities were initiated, teams consisting of young doctorate and post-doctorate researchers and university promotors with experience in interaction processes of technology with society were established and steering committees with actors and external experts were set up for each project. The objectives and main achievements in the four projects are summarised

  15. Food, energy and society

    Energy Technology Data Exchange (ETDEWEB)

    Pimental, D; Pimental, M

    1979-01-01

    Twelve chapters are presented in this book - the first four of which concern hunter-gatherer society, the development of agricultural systems, and an introduction to the relative energy costs of manpower, animal power and machines in food production. The main section of the book (Chapters 6-9) documents the energy use in the production of livestock, grain and legumes, fruit, vegetable and forage, and fish. Comparisons of energy inputs and outputs are made for different crops and for countries at different levels of development. The final section of the book covers food processing, packaging and transport costs. The message of the book is that a switch from the high overall protein and high animal protein diet in the industrialized countries is overdue. Such a move, the author maintains, will reduce the total fossil fuel requirements for food production and enable more people to be adequately fed. The author also recommends extensive use of bicycles for transportation.

  16. War and society

    Directory of Open Access Journals (Sweden)

    Upeniece V.

    2016-01-01

    Full Text Available A discussion of effects of war on society is desirable as it can stimulate nations and their politicians to refrain in their international and non-international relations from the threat or use of force against the territorial integrity or political independence of the state. The prohibition of the use of force is a valid norm of customary international law and is fixed in the Charter of the United Nations. Any specific use of force can be lawful only if it is based on exceptions of this rule (action of self-defence under the Article 51 or action under specific authorization by the Security Council under Chapter VII. However the main issue is how to ensure that the other states respect this principle of non-use of force.

  17. Methods of modern mathematical physics

    CERN Document Server

    Reed, Michael

    1980-01-01

    This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations.

  18. Appreciation of mathematics through origami

    Science.gov (United States)

    Wares, Arsalan

    2013-03-01

    The purpose of this classroom note is to provide an example of how a simple origami box can be used to explore important mathematical concepts in geometry like surface area. This article describes how an origami box can be folded from a rectangular sheet of paper, then it goes on to describe how its surface area can be determined in terms of the dimensions of the rectangular sheet that was used to construct the box.

  19. Computer Aided Mathematics

    DEFF Research Database (Denmark)

    Sinclair, Robert

    1998-01-01

    Course notes of a PhD course held in 1998. The central idea is to introduce students to computational mathematics using object oriented programming in C++.......Course notes of a PhD course held in 1998. The central idea is to introduce students to computational mathematics using object oriented programming in C++....

  20. 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....