- Table View
- List View
Toward Equity and Social Justice in Mathematics Education (Research In Mathematics Education Ser.)
by Tonya Gau BartellThis critical volume responds to the enduring challenge in mathematics education of addressing the needs of marginalized students in school mathematics, and stems from the 2015 Annual Meeting of the North American Group of the Psychology of Mathematics Education (PME-NA). This timely analysis brings greater clarity and support to such challenges by narrowing in on four foci: theoretical and political perspectives toward equity and justice in mathematics education, identifying and connecting to family and community funds of knowledge, student learning and engagement in preK-12 mathematics classrooms, and supporting teachers in addressing the needs of marginalized learners. Each of these areas examines how race, class, culture, power, justice and mathematics teaching and learning intersect in mathematics education to sustain or disrupt inequities, and include contributions from scholars writing about mathematics education in diverse contexts. Included in the coverage: Disrupting policies and reforms to address the needs of marginalized learnersA socio-spatial framework for urban mathematics educationLinking literature on allywork to the work of mathematics teacher educatorsTransnational families’ mathematical funds of knowledgeMultilingual and technological contexts for supporting learners’ mathematical discoursePreservice teachers’ strategies for teaching mathematics with English learners Toward Equity and Social Justice in Mathematics Education is of significant interest to mathematics teacher educators and mathematics education researchers currently addressing the needs of marginalized students in school mathematics. It is also relevant to teachers of related disciplines, administrators, and instructional designers interested in pushing our thinking and work toward equity and justice in mathematics education.
Toward Human-Level Artificial Intelligence: Representation and Computation of Meaning in Natural Language (Dover Books on Mathematics)
by Philip C. JacksonHow can human-level artificial intelligence be achieved? What are the potential consequences? This book describes a research approach toward achieving human-level AI, combining a doctoral thesis and research papers by the author.The research approach, called TalaMind, involves developing an AI system that uses a 'natural language of thought' based on the unconstrained syntax of a language such as English; designing the system as a collection of concepts that can create and modify concepts to behave intelligently in an environment; and using methods from cognitive linguistics for multiple levels of mental representation. Proposing a design-inspection alternative to the Turing Test, these pages discuss 'higher-level mentalities' of human intelligence, which include natural language understanding, higher-level forms of learning and reasoning, imagination, and consciousness. Dr. Jackson gives a comprehensive review of other research, addresses theoretical objections to the proposed approach and to achieving human-level AI in principle, and describes a prototype system that illustrates the potential of the approach.This book discusses economic risks and benefits of AI, considers how to ensure that human-level AI and superintelligence will be beneficial for humanity, and gives reasons why human-level AI may be necessary for humanity's survival and prosperity.
Toward Mathematics for All: Reinterpreting History of Mathematics in North America 1607-1865 (History of Mathematics Education)
by Nerida Ellerton M. A. ClementsThis book presents a history of mathematic between 1607 and 1865 in that part of mainland North America which is north of Mexico but excludes the present-day Canada and Alaska. Unlike most other histories of mathematics now available, the emphasis is on the gradual emergence of "mathematics for all" programs and associated changes in thinking which drove this emergence. The book takes account of changing ideas about intended, implemented and attained mathematics curricula for learners of all ages. It also pays attention to the mathematics itself, and to how it was taught and learned.
Toward Predicate Approaches to Modality
by Johannes SternIn this volume, the author investigates and argues for, a particular answer to the question: What is the right way to logically analyze modalities from natural language within formal languages? The answer is: by formalizing modal expressions in terms of predicates. But, as in the case of truth, the most intuitive modal principles lead to paradox once the modal notions are conceived as predicates. The book discusses the philosophical interpretation of these modal paradoxes and argues that any satisfactory approach to modality will have to face the paradoxes independently of the grammatical category of the modal notion. By systematizing modal principles with respect to their joint consistency and inconsistency, Stern provides an overview of the options and limitations of the predicate approach to modality that may serve as a useful starting point for future work on predicate approaches to modality. Stern also develops a general strategy for constructing philosophically attractive theories of modal notions conceived as predicates. The idea is to characterize the modal predicate by appeal to its interaction with the truth predicate. This strategy is put to use by developing the modal theories Modal Friedman-Sheard and Modal Kripke-Feferman.
Toward Robots That Reason: Logic, Probability & Causal Laws (Synthesis Lectures on Artificial Intelligence and Machine Learning)
by Vaishak BelleThis book discusses the two fundamental elements that underline the science and design of artificial intelligence (AI) systems: the learning and acquisition of knowledge from observational data, and the reasoning of that knowledge together with whatever information is available about the application at hand. It then presents a mathematical treatment of the core issues that arise when unifying first-order logic and probability, especially in the presence of dynamics, including physical actions, sensing actions and their effects. A model for expressing causal laws describing dynamics is also considered, along with computational ideas for reasoning with such laws over probabilistic logical knowledge.
Toward Social Reporting: Next Steps (Social Science Frontiers)
by Otis Dudley DuncanA volume of Social Science Frontiers, a series of publications reviewing new fields for social development, aimed at foundation executives, administrators of research grant programs, directors of research organizations, and others concerned with making contemporary social science more useful for the function of social reporting.
Toward a Health Statistics System for the 21st Century: SUMMARY OF A WORKSHOP
by Committee on National StatisticsA summary Toward a Health Statistics System for the 21st Century
Toward a New Council of Florence: On the Peace of Faith and other Works by Nicolaus of Cusa
by Marianna Wertz William WertzThis is a book of English translations of the writings of one of the most important geniuses in history--Cardinal Nicolaus of Cusa (1401-1464). He created ideas which had never been conceived before and which changed history for the better--up through our time and far, far into the future. His thinking processes are sometimes summed up in his concept of the “coincidence of opposites.” Instead of starting his thought process from accumulated sense perceptions and deducing law from observed appearances, Cusa starts with the hypothesis that there must be an original potential from which all multiplicity derives. By starting from the top, or “the Origin,” Cusa was able to solve previously insoluble problems. For example, his idea that the “right to govern comes from the consent of the governed” was not only the basis for solving clashes within the Catholic Church, and even the attempt to reunify all of the various Christian churches at the Council of Florence, but also lay at the heart of the experiments in government set up in the New England colonies of North America and the later creation of the United States Constitution. Besides the title work “On the Peace of Faith” which resolves the conflicts among the religions, 17 other papers are translated into English--14 for the first time. The ongoing renaissance in the study of Cusa worldwide is the basis for resolving the conflicts which still plague the world.
Toward a Small Family Ethic
by Travis N. N. RiederThis thought-provoking treatise argues that current human fertility rates are fueling a public health crisis that is at once local and global. Its analysis and data summarize the ecological costs of having children, presenting ethical dilemmas for prospective parents in an era of competition for scarce resources, huge disparities of wealth and poverty, and unsustainable practices putting irreparable stress on the planet. Questions of individual responsibility and integrity as well as personal moral and procreative issues are examined carefully against larger and more long-range concerns. The author's assertion that even modest efforts toward reducing global fertility rates would help curb carbon emissions, slow rising global temperatures, and forestall large-scale climate disaster is well reasoned and more than plausible. Among the topics covered: · The multiplier effect: food, water, energy, and climate. · The role of population in mitigating climate change. · The carbon legacy of procreation. · Obligations to our possible children. · Rights, what is right, and the right to do wrong. · The moral burden to have small families. Toward a Small Family Ethic sounds a clarion call for bioethics students and working bioethicists. This brief, thought-rich volume steers readers toward challenges that need to be met, and consequences that will need to be addressed if they are not.
Toward a Visually-Oriented School Mathematics Curriculum
by Ferdinand RiveraWhat does it mean to have a visual representation of a mathematical object, concept, or process? What visualization strategies support growth in mathematical thinking, reasoning, generalization, and knowledge? Is mathematical seeing culture-free? How can information drawn from studies in blind subjects help us understand the significance of a multimodal approach to learning mathematics? Toward a Visually-Oriented School Mathematics Curriculum explores a unified theory of visualization in school mathematical learning via the notion of progressive modeling. Based on the author's longitudinal research investigations in elementary and middle school classrooms, the book provides a compelling empirical account of ways in which instruction can effectively orchestrate the transition from personally-constructed visuals, both externally-drawn and internally-derived, into more structured visual representations within the context of a socioculturally grounded mathematical activity. Both for teachers and researchers, a discussion of this topic is relevant in the history of the present. The ubiquity of technological tools and virtual spaces for learning and doing mathematics has aroused interest among concerned stakeholders about the role of mathematics in these contexts. The book begins with a prolegomenon on the author's reflections on past and present visual studies in mathematics education. In the remaining seven chapters, visualization is pursued in terms of its role in bringing about progressions in mathematical symbolization, abduction, pattern generalization, and diagrammatization. Toward a Visually-Oriented School Mathematics Curriculum views issues surrounding visualization through the eyes of a classroom teacher-researcher; it draws on findings within and outside of mathematics education that help practitioners and scholars gain a better understanding of what it means to pleasurably experience the symmetric visual/symbolic reversal phenomenon - that is, seeing the visual in the symbolic and the symbolic in the visual."
Toward the Rule of Law in Russia: Political and Legal Reform in the Transition Period
by Donald D. BarryThe contributors to this volume - all specialists on Soviet law and politics - offer a comprehensive examination of the effort to create a "law-based" state in the Gorbachev-era U.S.S.R., thus effecting a fundamental change in the relationship between the state and private groups and individuals. Gianmaria Ajani, Donald Barry, Harold Berman, Frances Foster-Simons, George Ginsburgs, John Hazard, Kathryn Hendley, Eugene Huskey, Dietrich Loeber, Peter Maggs, Hiroshi Oda, Nicolai Petro, Robert Sharlet, Louise Shelley, Will Simons and Peter Solomon, with commentary by Soviet scholars, discuss conceptual, historical, social, cultural, and institutional aspects of Soviet legal development, and supply detailed analysis of recent developments in the areas of civil, criminal, and labour law and the rights of individuals, economic organizations, and political and social groups.
Towards Bayesian Model-Based Demography: Agency, Complexity and Uncertainty in Migration Studies (Methodos Series #17)
by Jakub BijakThis open access book presents a ground-breaking approach to developing micro-foundations for demography and migration studies. It offers a unique and novel methodology for creating empirically grounded agent-based models of international migration – one of the most uncertain population processes and a top-priority policy area. The book discusses in detail the process of building a simulation model of migration, based on a population of intelligent, cognitive agents, their networks and institutions, all interacting with one another. The proposed model-based approach integrates behavioural and social theory with formal modelling, by embedding the interdisciplinary modelling process within a wider inductive framework based on the Bayesian statistical reasoning. Principles of uncertainty quantification are used to devise innovative computer-based simulations, and to learn about modelling the simulated individuals and the way they make decisions. The identified knowledge gaps are subsequently filled with information from dedicated laboratory experiments on cognitive aspects of human decision-making under uncertainty. In this way, the models are built iteratively, from the bottom up, filling an important epistemological gap in migration studies, and social sciences more broadly.
Towards Effective Flow Control and Mitigation of Shock Effects in Aeronautical Applications (Notes on Numerical Fluid Mechanics and Multidisciplinary Design #201)
by Holger Babinsky Piotr Doerffer Pawel FlaszynskiThis open-access book reports on both experimental and numerical findings from the H2020-funded project TEAMAero (Towards Effective Flow Control and Mitigation of Shock Effects in Aeronautical Applications). It covers novel contributions on improving the fundamental understanding of the physics of shock wave boundary layer interaction, developments in flow control for mitigation of shock effects, and advanced numerical methods for predicting those effects. All in all, this book offers a timely snapshot of research and developments in numerical methods for flow analysis and control, with a special emphasis on high-speed flows. It offers extensive information to both researchers and professionals.
Towards Equity in Mathematics Education
by Helen Forgasz Ferdinand RiveraThis volume gathers together twenty major chapters that tackle a variety of issues associated with equity in mathematics education along the dimensions of gender, culture, curriculum diversity, and matters of a biological nature. The pursuit of equity in mathematics education is an important concern in the history of the present. Since there is no doubt about the significant role of mathematics in almost every aspect of life, it means that all individuals regardless of sex, in any age range, and in whatever context need to be provided with an opportunity to become mathematically able. The publication of this Springer volume on equity in mathematics education is situated at a time when there is strong and sustained research evidence indicating the persistence of an equity gap in mathematics, which has now enabled the mathematics education community to engage in a discourse of access for all. The research studies that are reported and discussed in the volume have been drawn from an international group of distinguished scholars whose impressive, forward-looking, and thought-provoking perspectives on relevant issues incite, broaden, and expand complicated conversations on how we might effectively achieve equity in mathematics education at the local, institutional, and systemic levels. Further, the up-to-date research knowledge in the field that is reflected in this volume provides conceptual and practical outlines for mechanisms of change, including models, examples, and usable theories that can inform the development of powerful equitable practices and the mobilization of meaningful equity interventions in different contexts of mathematics education.
Towards Ethical and Socially Responsible Explainable AI: Challenges and Opportunities (Studies in Systems, Decision and Control #551)
by Anand Nayyar Mohit Kumar Mohammad Amir Akhtar"Dive deep into the evolving landscape of AI with 'Towards Ethical and Socially Responsible Explainable AI'. This transformative book explores the profound impact of AI on society, emphasizing transparency, accountability, and fairness in decision-making processes. It offers invaluable insights into creating AI systems that not only perform effectively but also uphold ethical standards and foster trust. Essential reading for technologists, policymakers, and all stakeholders invested in shaping a responsible AI future."
Towards Higher Mathematics: A Companion
by Richard EarlContaining a large and varied set of problems, this rich resource will allow students to stretch their mathematical abilities beyond the school syllabus, and bridge the gap to university-level mathematics. Many proofs are provided to better equip students for the transition to university. The author covers substantial extension material using the language of sixth form mathematics, thus enabling students to understand the more complex material. Exercises are carefully chosen to introduce students to some central ideas, without building up large amounts of abstract technology. There are over 1500 carefully graded exercises, with hints included in the text, and solutions available online. Historical and contextual asides highlight each area of mathematics and show how it has developed over time.
Towards Infrared Finite S-matrix in Quantum Field Theory (Springer Theses)
by Hayato HiraiThis book presents the better understanding of infrared structures of particle scattering processes in quantum electrodynamics (QED) in four-dimensional spacetime. An S-matrix is the fundamental quantity in scattering theory. However, if a theory involves massless particles, such as QED and gravity, the conventional S-matrix has not been well defined due to the infrared divergence, and infrared dynamics thus needs to be understood in-depth to figure out the S-matrix. The book begins with introducing fundamental nature of the charge conservation law associated with asymptotic symmetry, and explaining its relations to soft theorems and memory effect. Subsequently it looks into an appropriate asymptotic state of the S-matrix without infrared divergences. The Faddeev-Kulish dressed state is known as a candidate of such a state, and its gauge invariant condition and its relation to the asymptotic symmetry are discussed. It offers an important building blocks for constructing the S-matrix without infrared divergences.
Towards Mathematics, Computers and Environment: A Disasters Perspective
by Leonardo Bacelar Lima Santos Rogério Galante Negri Tiago José de CarvalhoWith relevant, timely topics, this book gathers carefully selected, peer-reviewed scientific works and offers a glimpse of the state-of-the-art in disaster prevention research, with an emphasis on challenges in Latin America. Topics include studies on surface frost, an extreme meteorological event that occasionally affects parts of Argentina, Bolivia, Peru, and southern Brazil, with serious impacts on local economies; near-ground pollution concentration, which affects many industrial, overpopulated cities within Latin America; disaster risk reduction and management, which are represented by mathematical models designed to assess the potential impact of failures in complex networks; and the intricate dynamics of international armed conflicts, which can be modeled with the help of stochastic theory. The book offers a valuable resource for professors, researchers, and students from both mathematical and environmental sciences, civil defense coordinators, policymakers, and stakeholders.
Towards Methodologically Inclusive Research Syntheses: Expanding possibilities (Routledge Research in Education)
by Harsh SuriPrimary research in education and social sciences is marked by a diversity of methods and perspectives. How can we accommodate and reflect such diversity at the level of synthesizing research? What are the critical methodological decisions in the process of a research synthesis, and how do these decisions open up certain possibilities, while closing down others? This book draws upon methodologically diverse literature on research synthesis methods and primary research methods to develop a framework for synthesizing research. It presents a Methodologically Inclusive Research Synthesis framework to facilitate critical and informed decision-making among the producers and users of research synthesis. Three guiding principles for a quality research synthesis are proposed: informed subjectivity and reflexivity, purposefully informed selective inclusivity, and audience-appropriate transparency. The book then provides a thorough discussion of how these principles might be enacted in the following six phases: -identifying an appropriate epistemological orientation-identifying an appropriate purpose-searching for relevant literature-evaluating, interpreting and distilling evidence from selected studies-constructing connected understandings-communicating with an audience. A wide range of techniques and perspectives from postpositivist, interpretive, participatory, critical and postmodern traditions are considered in the book, and Suri opens up new areas of debate by exploring numerous aspects of research syntheses from a methodologically inclusive perspective. The book will be valuable reading for researchers and postgraduates in education and social sciences.
Towards Newborn Survival: Challenges and Priorities
by Sandhya R. MahapatroThis book offers a comprehensive study of the complexities of newborn survival in resource-poor regions, using the state of Bihar (India) as a case study. It provides important lessons for other low-performing countries, in similar socioeconomic contexts, where newborn survival is a major challenge.The volume opens with a brief account of the trends and regional variations in neonatal mortality. The empirical verification of socio-cultural, economic and health system barriers and the state interventions that affect newborn survival are subsequently explored. Innovative strategies are then proposed to scale up maternal newborn and child health (MNCH) services and improve neonatal health outcomes. Addressing this issue through appropriate policy action is essential to achieving Sustainable Development Goal-3, "Good Health and Well-being". This book will therefore appeal to public health scholars, professionals and policymakers interested in improving outcomes in low-income regions.
Towards Paraconsistent Engineering
by Seiki AkamaThis book presents a collection of contributions from related logics to applied paraconsistency. Moreover, all of them are dedicated to Jair Minoro Abe,on the occasion of his sixtieth birthday. He is one of the experts in Paraconsistent Engineering, who developed the so-called annotated logics. The book includes important contributions on foundations and applications of paraconsistent logics in connection with engineering, mathematical logic, philosophical logic, computer science, physics, economics, and biology. It will be of interest to students and researchers, who are working on engineering and logic.
Towards Resilient Social IoT Sensors and Networks: A Trust Management Approach (Smart Sensors, Measurement and Instrumentation #48)
by Quan Z. Sheng Adnan Mahmood Subhash SagarThis book, at first, explores the evolution of the IoT to SIoT and offers a comprehensive understanding of SIoT and trust management vis-à-vis SIoT. It subsequently envisages trust quantification models by employing key SIoT-specific trust features, including SIoT relationships (e.g., friendships, working relationships, and community-of-interest), direct observations, and indirect observations, to augment the idea of trust quantification of a SIoT object. Furthermore, diverse trust aggregation techniques, i.e., conventional weighted sum, machine learning, and artificial neural networks, are proposed so as to address the challenges of the trust aggregation. Finally, the book outlines the future research directions for emphasizing the importance of trustworthiness management in the evolving notion of the SIoT.
Towards Ulam Type Multi Stability Analysis: A Novel Approach for Fuzzy Dynamical Systems (Studies in Systems, Decision and Control #523)
by Reza Saadati Tofigh Allahviranloo Safoura Rezaei Aderyani Chenkuan LiThe main target of this book is to present a new concept of Ulam-type stability, i.e., multi-stability, through the classical, well-known special functions and to obtain the best approximation error estimates by a different concept of perturbation stability including fuzzy approaches for uncertainty considerations. This stability allows us to obtain diverse approximations depending on various special functions that are initially chosen and to evaluate maximal stability and minimal error which enable us to obtain a unique optimal solution of functional equations, inequalities, and fractional equations. Stability analysis in the sense of the Ulam and its different kinds has received considerable attention from the researchers. However, how to effectively generalize the Ulam stability problems and to evaluate optimized controllability and stability are new issues. The multi-stability not only covers the previous concepts but also considers the optimization of the problem and provides a comprehensive discussion of optimizing the different types of the Ulam stabilities of mathematical models used in the natural sciences and engineering disciplines with fuzzy attitudes. Besides, this book also deals with nonlinear differential equations with various boundary conditions or initial value problems, based on the matrix Mittag-Leffler function, fixed point theory, as well as Babenko's approach to study uniqueness and existence of solutions. In general, the benefits for the readers can be concluded as follows: 1. Evaluates maximal stability with minimal error to get a unique optimal solution. 2. Discusses an optimal method of the alternative to study existence, uniqueness, and different types of Ulam stabilities under special consideration of the fuzzy approaches. 3. Delves into the new study of boundary value problems of fractional integro-differential equations with integral boundary conditions and variable coefficients.
Towards User-Centric Intelligent Network Selection in 5G Heterogeneous Wireless Networks: A Reinforcement Learning Perspective
by Yuhua Xu Bin Jiang Zhiyong Du Qihui Wu Kun XuThis book presents reinforcement learning (RL) based solutions for user-centric online network selection optimization. The main content can be divided into three parts. The first part (chapter 2 and 3) focuses on how to learning the best network when QoE is revealed beyond QoS under the framework of multi-armed bandit (MAB). The second part (chapter 4 and 5) focuses on how to meet dynamic user demand in complex and uncertain heterogeneous wireless networks under the framework of markov decision process (MDP). The third part (chapter 6 and 7) focuses on how to meet heterogeneous user demand for multiple users inlarge-scale networks under the framework of game theory. Efficient RL algorithms with practical constraints and considerations are proposed to optimize QoE for realizing intelligent online network selection for future mobile networks. This book is intended as a reference resource for researchers and designers in resource management of 5G networks and beyond.
Towards a General Theory of Classifications
by Daniel Parrochia Pierre NeuvilleThis book is an essay on the epistemology of classifications. Its main purpose is not to provide an exposition of an actual mathematical theory of classifications, that is, a general theory which would be available to any kind of them: hierarchical or non-hierarchical, ordinary or fuzzy, overlapping or non-overlapping, finite or infinite, and so on, establishing a basis for all possible divisions of the real world. For the moment, such a theory remains nothing but a dream. Instead, the authors essentially put forward a number of key questions. Their aim is rather to reveal the "state of art" of this dynamic field and the philosophy one may eventually adopt to go further. To this end they present some advances made in the course of the last century, discuss a few tricky problems that remain to be solved, and show the avenues open to those who no longer wish to stay on the wrong track. Researchers and professionals interested in the epistemology and philosophy of science, library science, logic and set theory, order theory or cluster analysis will find this book a comprehensive, original and progressive introduction to the main questions in this field.