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Academic literature on the topic 'General – General and miscellaneous specific topics – Philosophy of mathematics'
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Journal articles on the topic "General – General and miscellaneous specific topics – Philosophy of mathematics"
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López-Chao, Vicente, and Antonio Amado Lorenzo. "Architectural Graphics Research: Topics and Trends through Cluster and Map Network Analyses." Symmetry 12, no. 12 (November 24, 2020): 1936. http://dx.doi.org/10.3390/sym12121936.
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Graphic representation is a fundamental language in architecture and engineering because it facilitates the communication of any type of information. Therefore, professionals and students need continuous and updated training, with scientific references being the best source of knowledge. However, accessing the latest findings is a complex process for people in the professional world or without an extensive research background since there are no specific filters in the databases, such as architectural graphics. This manuscript aims to define the research topics and trends in architectural graphics as a point of reference for novel professors and new researchers in graphics or drawing. A database on the Scopus-indexed scientific production of the professors of architectural graphics from public architecture schools in Spain has been developed. Furthermore, cluster and map network analyses have been performed using VOSviewer with different levels of co-occurrence to define what this group of academics investigates and how the issues are related. The results evidenced a structure in four categories: the philosophy and theory of architectural graphics, the theory of geometry in architectural heritage, the application of digital graphics in architecture education and urban design management. Research gaps are mentioned and a base framework for the future of research in architectural graphics is proposed.
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Thompson, Denisse R., Sharon L. Senk, and Gwendolyn J. Johnson. "Opportunities to Learn Reasoning and Proof in High School Mathematics Textbooks." Journal for Research in Mathematics Education 43, no. 3 (May 2012): 253–95. http://dx.doi.org/10.5951/jresematheduc.43.3.0253.
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This article addresses the nature and extent of reasoning and proof in the written (i.e., intended) curriculum of 20 contemporary high school mathematics textbooks. Both the narrative and exercise sets in lessons dealing with the topics of exponents, logarithms, and polynomials were examined. The extent of proof-related reasoning varied by topic and textbook. Overall, about 50% of the identified properties in the 3 topic areas were justified, with about 30% of the addressed properties justified with a general argument and about 20% justified with an argument about a specific case. However, less than 6% of the exercises in the homework sets involved proof-related reasoning, with developing an argument and investigating a conjecture as the most frequently occurring types of proof-related reasoning.
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Škrinjarić, Tihana. "Profiting on the Stock Market in Pandemic Times: Study of COVID-19 Effects on CESEE Stock Markets." Mathematics 9, no. 17 (August 27, 2021): 2077. http://dx.doi.org/10.3390/math9172077.
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This research deals with stock market reactions of Central Eastern and South Eastern European (CESEE) markets to the COVID-19 pandemic, via the event study methodology approach. Since the stock markets react quickly to certain announcements, the used methodology is appropriate to evaluate how the aforementioned markets reacted to certain events. The purpose of this research was to evaluate possibilities of obtaining profits on the stock markets during great turbulences, when a majority of the participants panic. More specifically, the contrarian trading strategies are observed if they can obtain gains, although a majority of the markets suffer great losses during pandemic shocks. The contributions to the existing literature of this research are as follows. Firstly, empirical research on CESEE stock markets regarding other relevant topics is still scarce and should be explored more. Secondly, the event study approach of COVID-19 effects utilized in this study has (to the knowledge of the author) not yet been explored on the aforementioned markets. Thirdly, based on the results of CESEE market reactions to specific announcements regarding COVID-19, a simulation of simple trading strategies will be made in order to estimate whether some investors could have profited in certain periods. The results of the study indicate promising results in terms of exploiting other investors’ panicking during the greatest decline of stock market indices. Namely, the initial results, as expected, indicate strong negative effects of specific COVID-19 announcements on the selected stock markets. Secondly, the obtained information was shown to be useful for contrarian strategy in order to exploit great dips in the stock market indices values.
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Fernández Vilas, Ana, Rebeca P. Díaz Redondo, Daniel Couto Cancela, and Alejandro Torrado Pazos. "Interplay between Cryptocurrency Transactions and Online Financial Forums." Mathematics 9, no. 4 (February 20, 2021): 411. http://dx.doi.org/10.3390/math9040411.
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Cryptocurrencies are a type of digital money meant to provide security and anonymity while using cryptography techniques. Although cryptocurrencies represent a breakthrough and provide some important benefits, their usage poses some risks that are a result of the lack of supervising institutions and transparency. Because disinformation and volatility is discouraging for personal investors, cryptocurrencies emerged hand-in-hand with the proliferation of online users’ communities and forums as places to share information that can alleviate users’ mistrust. This research focuses on the study of the interplay between these cryptocurrency forums and fluctuations in cryptocurrency values. In particular, the most popular cryptocurrency Bitcoin (BTC) and a related active discussion community, Bitcointalk, are analyzed. This study shows that the activity of Bitcointalk forum keeps a direct relationship with the trend in the values of BTC, therefore analysis of this interaction would be a perfect base to support personal investments in a non-regulated market and, to confirm whether cryptocurrency forums show evidences to detect abnormal behaviors in BTC values as well as to predict or estimate these values. The experiment highlights that forum data can explain specific events in the financial field. It also underlines the relevance of quotes (regular mechanism to response a post) at periods: (1) when there is a high concentration of posts around certain topics; (2) when peaks in the BTC price are observed; and, (3) when the BTC price gradually shifts downwards and users intend to sell.
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Faizi, Shahzad, Wojciech Sałabun, Tabasam Rashid, Sohail Zafar, and Jarosław Wątróbski. "Intuitionistic Fuzzy Sets in Multi-Criteria Group Decision Making Problems Using the Characteristic Objects Method." Symmetry 12, no. 9 (August 19, 2020): 1382. http://dx.doi.org/10.3390/sym12091382.
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Over the past few decades, several researchers and professionals have focused on the development and application of multi-criteria group decision making (MCGDM) methods under a fuzzy environment in different areas and disciplines. This complex research area has become one of the more popular topics, and it seems that this trend will be increasing. In this paper, we propose a new MCGDM approach combining intuitionistic fuzzy sets (IFSs) and the Characteristic Object Method (COMET) for solving the group decision making (GDM) problems. The COMET method is resistant to the rank reversal phenomenon, and at the same time it remains relatively simple and intuitive in practical problems. This method can be used for both symmetric and asymmetric information. The Triangular Intuitionistic Fuzzy Numbers (TIFNs) have been used to handle uncertain data. This concept can ensure the preference information about an alternative under specific criteria more comprehensively and allows for easy modelling of symmetrical or asymmetrical linguistic values. Each expert provides the membership and non-membership degree values of intuitionistic fuzzy numbers (IFNs). So this approach deals with a different kind of uncertainty than with hesitant fuzzy sets (HFSs). The proposed combination of COMET and IFSs required an adaptation of the matrix of expert judgment (MEJ) and allowed to capture the behaviour aspects of the decision makers (DMs). Therefore, we get more reliable solutions while solving MCGDM problems. Finally, the proposed method is presented in a simple academic example.
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Bibrzycki, Łukasz, Dariusz Burakowski, Piotr Homola, Marcin Piekarczyk, Michał Niedźwiecki, Krzysztof Rzecki, Sławomir Stuglik, et al. "Towards A Global Cosmic Ray Sensor Network: CREDO Detector as the First Open-Source Mobile Application Enabling Detection of Penetrating Radiation." Symmetry 12, no. 11 (October 30, 2020): 1802. http://dx.doi.org/10.3390/sym12111802.
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We present the purpose, long-term development vision, basic design, detection algorithm and preliminary results obtained with the Cosmic Ray Extremely Distributed Observatory (CREDO) Detector mobile application. The CREDO Detector app and related infrastructure are unique in terms of their scale, targeting many form-factors and open-access philosophy. This philosophy translates to the open-source code of the app, open-access in terms of both data inflow as well as data consumption and above all, the citizen science philosophy that means that the infrastructure is open to all who wish to participate in the project. The CREDO infrastructure and CREDO Detector app are designed for the large-scale study of various radiation forms that continuously reach the Earth from space, but with the sensitivity to local radioactivity as well. Such study has great significance both scientifically and educationally as cosmic radiation has an impact on diverse research areas from life on Earth to the functioning of modern electronic devices. The CREDO Detector app is now working worldwide across phones, tablets, laptops, PCs and cheap dedicated registration stations. These diverse measurements contribute to the broader search for large-scale cosmic ray correlations, as well as the CREDO-specific proposed extensive air showers and incoherent secondary cosmic rays.
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READ, STEPHEN. "HARMONIC INFERENTIALISM AND THE LOGIC OF IDENTITY." Review of Symbolic Logic 9, no. 2 (February 9, 2016): 408–20. http://dx.doi.org/10.1017/s1755020316000010.
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AbstractInferentialism claims that the rules for the use of an expression express its meaning without any need to invoke meanings or denotations for them. Logical inferentialism endorses inferentialism specifically for the logical constants. Harmonic inferentialism, as the term is introduced here, usually but not necessarily a subbranch of logical inferentialism, follows Gentzen in proposing that it is the introduction-rules which give expressions their meaning and the elimination-rules should accord harmoniously with the meaning so given. It is proposed here that the logical expressions are those which can be given schematic rules that lie in a specific sort of harmony, general-elimination (ge) harmony, resulting from applying a certain operation, the ge-procedure, to produce ge-rules in accord with the meaning defined by the I-rules. Griffiths (2014) claims that identity cannot be given such rules, concluding that logical inferentialists are committed to ruling identity a nonlogical expression. It is shown that the schematic rules for identity given in Read (2004), slightly amended, are indeed ge-harmonious, so confirming that identity is a logical notion.
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Bravo, Juan C., and Manuel V. Castilla. "Geometric Objects: A Quality Index to Electromagnetic Energy Transfer Performance in Sustainable Smart Buildings." Symmetry 10, no. 12 (November 29, 2018): 676. http://dx.doi.org/10.3390/sym10120676.
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Sustainable smart buildings play an essential role in terms of more efficient energy. However, these buildings as electric loads are affected by an important distortion in the current and voltage waveforms caused by the increasing proliferation of nonlinear electronic devices. Overall, buildings all around the world consume a significant amount of energy, which is about one-third of the total primary energy resources. Optimization of the power transfer process of such amount of energy is a crucial issue that needs specific tools to integrate energy-efficient behaviour throughout the grid. When nonlinear loads are present, new capable ways of thinking are needed to consider the effects of harmonics and related power components. In this manner, technology innovations are necessary to update the power factor concept to a generalized total or a true one, where different power components involved in it calculation, properly reflect each harmonic interaction. This work addresses an innovative theory that applies the Poynting Vector philosophy via Geometric Algebra to the electromagnetic energy transfer process providing a physical foundation. In this framework, it is possible to analyse and detect the nature of disturbing loads in the exponential growth of new globalized buildings and architectures in our era. This new insight is based on the concept of geometric objects with different dimension: vector, bivector, trivector, multivector. Within this paper, these objects are correlated with the electromagnetic quantities responsible for the energy flow supplied to the most common loads in sustainable smart buildings. Besides, it must be considered that these phenomena are characterized by a quality index multivector appropriate even for detecting harmonic sources. A numerical example is used to illustrate the clear capabilities of the suggested index when it applies to industrial loads for optimization of energy control systems and enhance comfort management in smart sustainable buildings.
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Koponen, Ismo T. "Nature of Science (NOS) Being Acquainted with Science of Science (SoS): Providing a Panoramic Picture of Sciences to Embody NOS for Pre-Service Teachers." Education Sciences 11, no. 3 (March 5, 2021): 107. http://dx.doi.org/10.3390/educsci11030107.
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Understanding about nature of science is important topic in science education as well as in pre-service science teacher education. In science education, Nature of Science (NOS), in its different forms of educational scaffoldings, seeks to provide with students an understanding of features of scientific knowledge and science in general, how scientific knowledge changes and becomes accepted, and what factors guide scientific activities. For a science teacher, deep and broad enough picture of sciences is therefore of importance. This study attempts to show that the research field called Science of Science (SoS) can significantly support building such a panoramic picture of sciences, and through that, significantly support NOS. The SoS approaches the structure and dynamics of science quantitatively, using scientific documents (e.g., publications, reports, books and monographs and patent applications) as trails to map the landscape of sciences. It is argued here that SoS may provide material and interesting cases for NOS, and in so doing enrich NOS in a similarly significant way as history, philosophy and sociology of science (HPSS) scholarship has done thus far. This study introduces several themes based on SoS that are of relevance for NOS as they were introduced and discussed in a pre-service science teachers’ course. The feedback from pre-service teachers shows that introducing SoS, with minimal additional philosophical interpretations and discussions, but simply as evidential facts and findings, sparks ideas and views that come very close to NOS themes and topics. Discussions related to nature of science, and specific educational NOS scaffoldings for it, can find a good companion in SoS; the latter providing facts and evidence of thee structure and dynamics of sciences, the former providing perspectives for interpretations.
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Coleman, Mary Sue, Tobin L. Smith, and Emily R. Miller. "Catalysts for Achieving Sustained Improvement in the Quality of Undergraduate STEM Education." Daedalus 148, no. 4 (October 2019): 29–46. http://dx.doi.org/10.1162/daed_a_01759.
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Promoting excellence in undergraduate STEM (science, technology, engineering, and mathematics) education at major research universities is necessary to ensure that we have the STEM-literate workforce and general population required to propel the nation forward into the twenty-first century and beyond. This essay provides a brief contextual history of the Association of American Universities' (AAU) effort to improve the effectiveness of undergraduate STEM education at member campuses and delineates the specific goals of this initiative. The essay then illuminates the essential role of the academic department and department chair in achieving long-lasting change and improving the quality of undergraduate education. It also discusses critical strategies and approaches for promoting the most effective methods for undergraduate STEM teaching and learning, with numerous examples from AAU member universities. The essay concludes with an acknowledgment of key challenges and opportunities that continue to face undergraduate education at research universities.
Dissertations / Theses on the topic "General – General and miscellaneous specific topics – Philosophy of mathematics"
1
"Proceedings of the tenth international conference Models in developing mathematics education." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-79236.
Full textAbstract:
This volume contains the papers presented at the International Conference on “Models in Developing Mathematics Education” held from September 11-17, 2009 at The University of Applied Sciences, Dresden, Germany. The Conference was organized jointly by The University of Applied Sciences and The Mathematics Education into the 21st Century Project - a non-commercial international educational project founded in 1986. The Mathematics Education into the 21st Century Project is dedicated to the improvement of mathematics education world-wide through the publication and dissemination of innovative ideas. Many prominent mathematics educators have supported and contributed to the project, including the late Hans Freudental, Andrejs Dunkels and Hilary Shuard, as well as Bruce Meserve and Marilyn Suydam, Alan Osborne and Margaret Kasten, Mogens Niss, Tibor Nemetz, Ubi D’Ambrosio, Brian Wilson, Tatsuro Miwa, Henry Pollack, Werner Blum, Roberto Baldino, Waclaw Zawadowski, and many others throughout the world. Information on our project and its future work can be found on Our Project Home Page http://math.unipa.it/~grim/21project.htm
It has been our pleasure to edit all of the papers for these Proceedings. Not all papers are about research in mathematics education, a number of them report on innovative experiences in the classroom and on new technology. We believe that “mathematics education” is fundamentally a “practicum” and in order to be “successful” all new materials, new ideas and new research must be tested and implemented in the classroom, the real “chalk face” of our discipline, and of our profession as mathematics educators. These Proceedings begin with a Plenary Paper and then the contributions of the Principal Authors in alphabetical name order. We sincerely thank all of the contributors for their time and creative effort. It is clear from the variety and quality of the papers that the conference has attracted many innovative mathematics educators from around the world. These Proceedings will therefore be useful in reviewing past work and looking ahead to the future.
2
"Turning dreams into reality: transformations and paradigm shifts in mathematics education." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-79243.
Full textAbstract:
This volume contains the papers presented at the International Conference on “Turning Dreams into Reality: Transformations and Paradigm Shifts in Mathematics Education” held from September 11-17, 2011 at Rhodes University, Grahamstown, South Africa. The Conference was organized jointly by Rhodes University and The Mathematics Education into the 21st Century Project - an international educational project founded in 1986. Our Project is dedicated to the improvement of mathematics education world-wide through the publication and dissemination of innovative ideas. Many prominent mathematics educators have supported and contributed to the project, including the late Hans Freudental, Andrejs Dunkels and Hilary Shuard, as well as Bruce Meserve and Marilyn Suydam, Alan Osborne and Margaret Kasten, Mogens Niss, Tibor Nemetz, Ubi D’Ambrosio, Brian Wilson, Tatsuro Miwa, Henry Pollack, Werner Blum, Roberto Baldino, Waclaw Zawadowski, and many others throughout the world. Information on our project and its future work can be found on our Project home page http://math.unipa.it/~grim/21project.htm .
In this year, 2011, we celebrate the 25th anniversary of the founding of our Project, when Manmohan Singh Arora suggested the idea to Fayez Mina and myself around a swimming pool in Bahrain (of all places!) That first meeting was, however, typical of the multi-cultured and global character of our Project and it’s subsequent conferences throughout the world.
These Proceedings begin with the Plenary Papers and then the other contributions in alphabetical name order of the principal authors. We sincerely thank all of the contributors for their time and creative effort. It is clear from the variety and quality of the papers that the conference has attracted many innovative mathematics educators from around the world.
3
Paditz, Ludwig, and Alan Rogerson. "Proceedings of the tenth international conference Models in developing mathematics education: September 11 - 17, 2009, Dresden, Saxony, Germany." 2009. https://slub.qucosa.de/id/qucosa%3A1658.
Full textAbstract:
This volume contains the papers presented at the International Conference on “Models in Developing Mathematics Education” held from September 11-17, 2009 at The University of Applied Sciences, Dresden, Germany. The Conference was organized jointly by The University of Applied Sciences and The Mathematics Education into the 21st Century Project - a non-commercial international educational project founded in 1986. The Mathematics Education into the 21st Century Project is dedicated to the improvement of mathematics education world-wide through the publication and dissemination of innovative ideas. Many prominent mathematics educators have supported and contributed to the project, including the late Hans Freudental, Andrejs Dunkels and Hilary Shuard, as well as Bruce Meserve and Marilyn Suydam, Alan Osborne and Margaret Kasten, Mogens Niss, Tibor Nemetz, Ubi D’Ambrosio, Brian Wilson, Tatsuro Miwa, Henry Pollack, Werner Blum, Roberto Baldino, Waclaw Zawadowski, and many others throughout the world. Information on our project and its future work can be found on Our Project Home Page http://math.unipa.it/~grim/21project.htm
It has been our pleasure to edit all of the papers for these Proceedings. Not all papers are about research in mathematics education, a number of them report on innovative experiences in the classroom and on new technology. We believe that “mathematics education” is fundamentally a “practicum” and in order to be “successful” all new materials, new ideas and new research must be tested and implemented in the classroom, the real “chalk face” of our discipline, and of our profession as mathematics educators. These Proceedings begin with a Plenary Paper and then the contributions of the Principal Authors in alphabetical name order. We sincerely thank all of the contributors for their time and creative effort. It is clear from the variety and quality of the papers that the conference has attracted many innovative mathematics educators from around the world. These Proceedings will therefore be useful in reviewing past work and looking ahead to the future.
4
Paditz, Ludwig, and Alan Rogerson. "Turning dreams into reality: transformations and paradigm shifts in mathematics education: Proceedings of the eleventh international conference; September 11 - 17, 2011; Rhodes University, Grahamstown." 2011. https://slub.qucosa.de/id/qucosa%3A1659.
Full textAbstract:
This volume contains the papers presented at the International Conference on “Turning Dreams into Reality: Transformations and Paradigm Shifts in Mathematics Education” held from September 11-17, 2011 at Rhodes University, Grahamstown, South Africa. The Conference was organized jointly by Rhodes University and The Mathematics Education into the 21st Century Project - an international educational project founded in 1986. Our Project is dedicated to the improvement of mathematics education world-wide through the publication and dissemination of innovative ideas. Many prominent mathematics educators have supported and contributed to the project, including the late Hans Freudental, Andrejs Dunkels and Hilary Shuard, as well as Bruce Meserve and Marilyn Suydam, Alan Osborne and Margaret Kasten, Mogens Niss, Tibor Nemetz, Ubi D’Ambrosio, Brian Wilson, Tatsuro Miwa, Henry Pollack, Werner Blum, Roberto Baldino, Waclaw Zawadowski, and many others throughout the world. Information on our project and its future work can be found on our Project home page http://math.unipa.it/~grim/21project.htm .
In this year, 2011, we celebrate the 25th anniversary of the founding of our Project, when Manmohan Singh Arora suggested the idea to Fayez Mina and myself around a swimming pool in Bahrain (of all places!) That first meeting was, however, typical of the multi-cultured and global character of our Project and it’s subsequent conferences throughout the world.
These Proceedings begin with the Plenary Papers and then the other contributions in alphabetical name order of the principal authors. We sincerely thank all of the contributors for their time and creative effort. It is clear from the variety and quality of the papers that the conference has attracted many innovative mathematics educators from around the world.
Books on the topic "General – General and miscellaneous specific topics – Philosophy of mathematics"
1
Schwartz, Richard Evan. The gallery of the infinite. Providence, Rhode Island: American Mathematical Society, 2016.
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2
An epsilon of room, II: Pages from year three of a mathematical blog. Providence, R.I: American Mathematical Society, 2010.
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3
A Moscow math circle: Week-by-week problem sets. Berkeley, Calif: Mathematical Sciences Research Institute, 2011.
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4
I, Arnolʹd V. Lectures and problems: A gift to young mathematicians. Providence, Rhode Island: American Mathematical Society, 2016.
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Moscow Mathematical Olympiads, 2000-2005. Berkeley, Calif: Mathematical Sciences Research Institute, 2011.
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Math from three to seven: The story of a mathematical circle for preschoolers. Providence. R.I: American Mathematical Society, 2011.
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I︠A︡shchenko, I. V. Invitation to a mathematical festival. Berkeley, California: Mathematical Sciences Research Institute, 2013.
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editor, Miura Kōryō 1930, ed. Origami 6. Providence, Rhode Island: American Mathematical Society, 2015.
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Cozzens, Margaret B. Biomath in the schools. Providence, R.I: American Mathematical Society, 2011.
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I, Arnolʹd V. Experimental mathematics. Berkeley, California: MSRI Mathematical Sciences Research Institute, 2015.
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