Mathematical Knowledge, Objects and Applications

Mathematical Knowledge, Objects and Applications PDF Author: Carl Posy
Publisher: Springer Nature
ISBN: 3031216555
Category : Mathematics
Languages : en
Pages : 404

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Book Description
This book provides a survey of a number of the major issues in the philosophy of mathematics, such as ontological questions regarding the nature of mathematical objects, epistemic questions about the acquisition of mathematical knowledge, and the intriguing riddle of the applicability of mathematics to the physical world. Some of these issues go back to the nascent years of mathematics itself, others are just beginning to draw the attention of scholars. In addressing these questions, some of the papers in this volume wrestle with them directly, while others use the writings of philosophers such as Hume and Wittgenstein to approach their problems by way of interpretation and critique. The contributors include prominent philosophers of science and mathematics as well as promising younger scholars. The volume seeks to share the concerns of philosophers of mathematics with a wider audience and will be of interest to historians, mathematicians and philosophers alike.

Mathematical Knowledge, Objects and Applications

Mathematical Knowledge, Objects and Applications PDF Author: Carl Posy
Publisher: Springer Nature
ISBN: 3031216555
Category : Mathematics
Languages : en
Pages : 404

Get Book Here

Book Description
This book provides a survey of a number of the major issues in the philosophy of mathematics, such as ontological questions regarding the nature of mathematical objects, epistemic questions about the acquisition of mathematical knowledge, and the intriguing riddle of the applicability of mathematics to the physical world. Some of these issues go back to the nascent years of mathematics itself, others are just beginning to draw the attention of scholars. In addressing these questions, some of the papers in this volume wrestle with them directly, while others use the writings of philosophers such as Hume and Wittgenstein to approach their problems by way of interpretation and critique. The contributors include prominent philosophers of science and mathematics as well as promising younger scholars. The volume seeks to share the concerns of philosophers of mathematics with a wider audience and will be of interest to historians, mathematicians and philosophers alike.

Handbook of Research on Learning Design and Learning Objects: Issues, Applications, and Technologies

Handbook of Research on Learning Design and Learning Objects: Issues, Applications, and Technologies PDF Author: Lockyer, Lori
Publisher: IGI Global
ISBN: 1599048620
Category : Business & Economics
Languages : en
Pages : 1018

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Book Description
"This book provides an overview of current research and development activity in the area of learning designs"--Provided by publisher.

Electronic Information and Communication in Mathematics

Electronic Information and Communication in Mathematics PDF Author: Fengshan Bai
Publisher: Springer
ISBN: 3540451552
Category : Mathematics
Languages : en
Pages : 198

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Book Description
This book constitutes the thoroughly refereed post-proceedings of the ICM 2002 International Satellite Conference on Electronic Information and Communication in Mathematics, held in Beijing, China, in August 2002.The 18 revised andnbsp;reviewed papersnbsp;assess the state of the art of the production and dissemination of electronic information in mathematics. Among the topics addressed are models and standards for information and metainformation representation; data search, discovery, retrieval, and analysis; access to distributed and heterogeneous digital collections; intelligent user interfaces to digital libraries; information agents, and cooperative work on mathematical data; digital collection generation; business models; and data security and protection.

International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives

International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives PDF Author: Patricia S. Moyer-Packenham
Publisher: Springer
ISBN: 3319327186
Category : Education
Languages : en
Pages : 344

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Book Description
This book explores terminology, frameworks, and research being conducted worldwide on virtual manipulatives. It brings together international authors who provide their perspectives on virtual manipulatives in research and teaching. By defining terminology, explaining conceptual and theoretical frameworks, and reporting research, the authors provide a comprehensive foundation on the study and use of virtual manipulatives for mathematics teaching and learning. This foundation provides a common way for researchers to communicate about virtual manipulatives and build on the major works that have been conducted on this topic. By discussing these big ideas, the book advances knowledge for future research on virtual manipulatives as these dynamic tools move from computer platforms to hand-held, touch-screen, and augmented platforms.

Mathematical Knowledge

Mathematical Knowledge PDF Author: Mary Leng
Publisher: Oxford University Press, USA
ISBN: 0199228248
Category : Language Arts & Disciplines
Languages : en
Pages : 199

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Book Description
What is the nature of mathematical knowledge? Is it anything like scientific knowledge or is it sui generis? How do we acquire it? Should we believe what mathematicians themselves tell us about it? Are mathematical concepts innate or acquired? Eight new essays offer answers to these and many other questions. Written by some of the world's leading philosophers of mathematics, psychologists, and mathematicians, Mathematical Knowledge gives a lively sense of the current state of debate in this fascinating field.

Mathematical Knowledge Management

Mathematical Knowledge Management PDF Author: Andrea Asperti
Publisher: Springer Science & Business Media
ISBN: 3540364692
Category : Computers
Languages : en
Pages : 233

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Book Description
This book constitutes the refereed proceedings of the Second International Conference on Mathematical Knowledge Management, MKM 2003, held in Betinoro, Italy, in February 2003. The 16 revised full papers presented together with an invited paper were carefully reviewed and selected for presentation. Among the topics addressed are digitization, representation, formalization, proof assistants, distributed libraries of mathematics, NAG library, LaTeX, MathML, mathematics markup, theorem description, query languages for mathematical metadata, mathematical information retrieval, XML-based mathematical knowledge processing, semantic Web, mathematical content management, formalized mathematics repositories, theorem proving, and proof theory.

Type II Uses of Technology in Education

Type II Uses of Technology in Education PDF Author: Cleborne D. Maddux
Publisher: Routledge
ISBN: 1136447954
Category : Computers
Languages : en
Pages : 218

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Book Description
Spark your students to actually want to learn through the creative application of technology! Type II applications in education make it possible to teach in new and more effective ways. Type II Uses of Technology in Education: Projects, Case Studies, and Software Applications clearly explains methods and strategies presently used by teachers to offer students a creative learning experience through the application of technology. Each chapter presents individual examples of how teachers have applied technology in schools and classrooms, illustrating through case studies, projects, and software applications how to effectively spark students’ interest and learning. Type II Uses of Technology in Education is the third in a series (Internet Applications of Type II Uses of Technology in Education and Classroom Integration of Type II Uses of Technology in Education, both from Haworth) that provides a clear view of the advantagesand challengesinvolved in the use of technology to enhance and actively involve students in the learning process. The applications described and discussed at length here go beyond the mundane educational functions like grading or presenting drill and practice exercises to explore fresh ways of teaching and learning. Students can become involved and actually want to learn, all through the use of creative technology application. The book also includes tables and figures to enhance understanding of the material. Type II Uses of Technology in Education discusses: data collection, analysis, and communication in student research using pocket PCs and laptops the educational effect of using a learning object as a pedagogical model rather than simply being technological in nature examples of integrated Type II activities e-learning courses using interactive video, WebCT, and on-site discussion groups electronic discussion applications in a laptop university teacher education program challenges facing students using computers to enhance and express the extent of their learning information and communication technology (ICT) integration into schoolsusing three illustrative case studies forward planning needed to make the difficult change to technological application for learning a case study that used problem-based learning software with at-risk students using technology to reinforce visual learning strategies digital portfolio development as a Type II application interactive computer technology in art instruction on-demand help features for effective interactive learning experience Personal Educational Tools (PETs) Type II Uses of Technology in Education: Projects, Case Studies, and Software Applications provides numerous illustrations of technology learning in action and is perfect for educators and students in programs dealing with information technology in education, and for public school personnel with interests and responsibilities in using information technology in the classroom.

Using Mobile Technologies in the Teaching and Learning of Mathematics

Using Mobile Technologies in the Teaching and Learning of Mathematics PDF Author: Nigel Calder
Publisher: Springer
ISBN: 3319901796
Category : Education
Languages : en
Pages : 317

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Book Description
Mobile technologies influence the way that we interact with the world, the way that we live. We use them for communication, entertainment, information and research. In education settings, there has been substantial investment in mobile devices, often without a concomitant investment in developing pedagogy and practices. With mobile technologies evolving rapidly, and the number of educational apps growing, there is a need for research into how they facilitate mathematics learning. Such research is of particular importance regarding how such devices may be used to open up new ways of envisaging mathematics and mathematics education, and to help develop conceptual rather than procedural or declarative knowledge. This volume draws upon international research and reports on a range of research projects that have incorporated mobile technologies for mathematics education. It presents research on the use of mobile technologies, such as iPads, iPods, iPhones, Androids, and Tablets, across a diverse range of cultures, year levels and contexts. It examines the ways in which mobile technologies, including apps, might influence students’ engagement, cognition, collaboration and attitudes, through the reshaping of the learning experience. In addition, the book presents appropriate ways to integrate mobile technologies into teaching and learning programmes. It is a significant reference book for those involved with teaching mathematics or using mobile technologies in education, while also offering insights and examples that are applicable to the use of digital technologies in education generally.

Modelling and Applications in Mathematics Education

Modelling and Applications in Mathematics Education PDF Author: Peter L. Galbraith
Publisher: Springer Science & Business Media
ISBN: 0387298223
Category : Education
Languages : en
Pages : 524

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Book Description
The book aims at showing the state-of-the-art in the field of modeling and applications in mathematics education. This is the first volume to do this. The book deals with the question of how key competencies of applications and modeling at the heart of mathematical literacy may be developed; with the roles that applications and modeling may play in mathematics teaching, making mathematics more relevant for students.

Handbook of Research on Innovations in Database Technologies and Applications

Handbook of Research on Innovations in Database Technologies and Applications PDF Author: Viviana E. Ferraggine
Publisher: IGI Global
ISBN: 1605662437
Category : Computers
Languages : en
Pages : 986

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Book Description
"This book provides a wide compendium of references to topics in the field of the databases systems and applications"--Provided by publisher.