learning spaces interdisciplinary applied mathematics

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Learning Spaces

Author : Jean-Claude Falmagne
ISBN : 3642010393
Genre : Mathematics
File Size : 47. 24 MB
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Learning spaces offer a rigorous mathematical foundation for practical systems of educational technology. Learning spaces generalize partially ordered sets and are special cases of knowledge spaces. The various structures are investigated from the standpoints of combinatorial properties and stochastic processes. Leaning spaces have become the essential structures to be used in assessing students' competence of various topics. A practical example is offered by ALEKS, a Web-based, artificially intelligent assessment and learning system in mathematics and other scholarly fields. At the heart of ALEKS is an artificial intelligence engine that assesses each student individually and continously. The book is of interest to mathematically oriented readers in education, computer science, engineering, and combinatorics at research and graduate levels. Numerous examples and exercises are included, together with an extensive bibliography.

Media Theory

Author : David Eppstein
ISBN : 9783540716976
Genre : Mathematics
File Size : 47. 79 MB
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This book presents a mathematical structure modeling a physical or biological system that can be in any of a number of states. Each state is characterized by a set of binary features, and differs from some other neighbor state or states by just one of those features. The book considers the evolution of such a system over time and analyzes such a structure from algebraic and probabilistic (stochastic) standpoints.

Knowledge Spaces

Author : Jean-Claude Falmagne
ISBN : 9783642353291
Genre : Mathematics
File Size : 75. 19 MB
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The book describes up-to-date applications and relevant theoretical results. These applications come from various places, but the most important one, numerically speaking, is the internet based educational system ALEKS. The ALEKS system is bilingual English-Spanish and covers all of mathematics, from third grade to the end of high school, and chemistry. It is also widely used in higher education because US students are often poorly prepared when they reach the university level. The chapter by Taagepera and Arasasingham deals with the application of knowledge spaces, independent of ALEKS, to the teaching of college chemistry. The four chapters by Albert and his collaborators strive to give cognitive interpretations to the combinatoric structures obtained and used by the ALEKS system. The contribution by Eppstein is technical and develops means of searching the knowledge structure efficiently.

Measuring And Visualizing Learning In The Information Rich Classroom

Author : Peter Reimann
ISBN : 9781317695080
Genre : Education
File Size : 60. 19 MB
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Integrated information systems are increasingly used in schools, and the advent of the technology-rich classroom requires a new degree of ongoing classroom assessment. Able to track web searches, resources used, task completion time, and a variety of other classroom behaviors, technology-rich classrooms offer a wealth of potential information about teaching and learning. This information can be used to track student progress in languages, STEM, and in 21st Century skills, for instance. However, despite these changes, there has been little change in the kind of data made available to teachers, administrators, students, and parents. Measuring and Visualizing Learning in the Information-Rich Classroom collects research on the implementation of classroom assessment techniques in technology-enhanced learning environments. Building on research conducted by a multinational and multidisciplinary team of learning technology experts, and specialists from around the globe, this book addresses these discrepancies. With contributions from major researchers in education technology, testing and assessment, and education psychology, this book contributes to a holistic approach for building the information infrastructure of the 21st Century school.

Design Recommendations For Intelligent Tutoring System Volume 5 Assessment Methods

Author : Dr. Robert Sottilare
ISBN : 9780997725728
Genre :
File Size : 55. 1 MB
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This book is the fifth in a planned series of books that examine key topics (e.g., learner modeling, instructional strategies, authoring, domain modeling, assessment, impact on learning, team tutoring, machine learning, and potential standards) in intelligent tutoring system (ITS) design through the lens of the Generalized Intelligent Framework for Tutoring (GIFT) (Sottilare, Brawner, Goldberg & Holden, 2012; Sottilare, Brawner, Sinatra, & Johnston, 2017). GIFT is a modular, service-oriented architecture created to reduce the cost and skill required to author ITSs, manage instruction within ITSs, and evaluate the effect of ITS technologies on learning, performance, retention, transfer of skills, and other instructional outcomes. Along with this volume, the first four books in this series, Learner Modeling (ISBN 978-0-9893923-0-3), Instructional Management (ISBN 978-0-9893923-2-7), Authoring Tools (ISBN 978-0-9893923-6-5) and Domain Modeling (978-0-9893923-9-6) are freely available at www.GIFTtutoring.org and on Google Play.

Creative Space

Author : Andrzej P. Wierzbicki
ISBN : 3540284583
Genre : Mathematics
File Size : 48. 7 MB
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Creative Space summarizes and integrates the various up-to-date approaches of computational intelligence to knowledge and technology creation including the specific novel feature of utilizing the creative abilities of the human mind, such as tacit knowledge, emotions and instincts, and intuition. It analyzes several important approaches of this new paradigm such as the Shinayakana Systems Approach, the organizational knowledge creation theory, in particular SECI Spiral, and the Rational Theory of Intuition – resulting in the concept of Creative Space. This monograph presents and analyzes in detail this new concept together with its ontology – the list and meanings of the analyzed nodes of this space and of the character of transitions linking these nodes.

Advances In Future Computer And Control Systems

Author : David Jin
ISBN : 9783642293900
Genre : Computers
File Size : 47. 86 MB
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FCCS2012 is an integrated conference concentrating its focus on Future Computer and Control Systems. “Advances in Future Computer and Control Systems” presents the proceedings of the 2012 International Conference on Future Computer and Control Systems(FCCS2012) held April 21-22,2012, in Changsha, China including recent research results on Future Computer and Control Systems of researchers from all around the world.

Diverse Issues In Higher Education

Author :
ISBN : UOM:39015066012736
Genre : Minorities
File Size : 56. 32 MB
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Applied Analysis In Biological And Physical Sciences

Author : Jim M. Cushing
ISBN : 9788132236405
Genre : Mathematics
File Size : 75. 69 MB
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The book contains recent developments and contemporary research in mathematical analysis and in its application to problems arising from the biological and physical sciences. The book is of interest to readers who wish to learn of new research in such topics as linear and nonlinear analysis, mathematical biology and ecology, dynamical systems, graph theory, variational analysis and inequalities, functional analysis, differential and difference equations, partial differential equations, approximation theory, and chaos. All papers were prepared by participants at the International Conference on Recent Advances in Mathematical Biology, Analysis and Applications (ICMBAA-2015) held during 4–6 June 2015 in Aligarh, India. A focal theme of the conference was the application of mathematics to the biological sciences and on current research in areas of theoretical mathematical analysis that can be used as sophisticated tools for the study of scientific problems. The conference provided researchers, academicians and engineers with a platform that encouraged them to exchange their innovative ideas in mathematical analysis and its applications as well as to form interdisciplinary collaborations. The content of the book is divided into three parts: Part I contains contributions from participants whose topics are related to nonlinear dynamics and its applications in biological sciences. Part II has contributions which concern topics on nonlinear analysis and its applications to a variety of problems in science, engineering and industry. Part III consists of contributions dealing with some problems in applied analysis.

Partielle Differentialgleichungen

Author : Walter A. Strauss
ISBN : 9783663124863
Genre : Mathematics
File Size : 61. 1 MB
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Dieses Buch ist eine umfassende Einführung in die klassischen Lösungsmethoden partieller Differentialgleichungen. Es wendet sich an Leser mit Kenntnissen aus einem viersemestrigen Grundstudium der Mathematik (und Physik) und legt seinen Schwerpunkt auf die explizite Darstellung der Lösungen. Es ist deshalb besonders auch für Anwender (Physiker, Ingenieure) sowie für Nichtspezialisten, die die Methoden der mathematischen Physik kennenlernen wollen, interessant. Durch die große Anzahl von Beispielen und Übungsaufgaben eignet es sich gut zum Gebrauch neben Vorlesungen sowie zum Selbststudium.

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