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Mathematics In Physics Education
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Book Synopsis Mathematics in Physics Education by : Gesche Pospiech
Download or read book Mathematics in Physics Education written by Gesche Pospiech and published by Springer. This book was released on 2019-07-02 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about mathematics in physics education, the difficulties students have in learning physics, and the way in which mathematization can help to improve physics teaching and learning. The book brings together different teaching and learning perspectives, and addresses both fundamental considerations and practical aspects. Divided into four parts, the book starts out with theoretical viewpoints that enlighten the interplay of physics and mathematics also including historical developments. The second part delves into the learners’ perspective. It addresses aspects of the learning by secondary school students as well as by students just entering university, or teacher students. Topics discussed range from problem solving over the role of graphs to integrated mathematics and physics learning. The third part includes a broad range of subjects from teachers’ views and knowledge, the analysis of classroom discourse and an evaluated teaching proposal. The last part describes approaches that take up mathematization in a broader interpretation, and includes the presentation of a model for physics teachers’ pedagogical content knowledge (PCK) specific to the role of mathematics in physics.
Book Synopsis Comparison of Mathematics and Physics Education I by : Simon Friedrich Kraus
Download or read book Comparison of Mathematics and Physics Education I written by Simon Friedrich Kraus and published by Springer Nature. This book was released on 2020-04-29 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, which is the output of a DAAD-funded collaboration between the University of Siegen and the Hanoi National University of Education, discusses and summarizes theoretical foundations of common grounds of mathematics and physics education. This interdisciplinary perspective enables especially teachers who have only been trained in one of these subjects to enrich their pedagogical content knowledge. The starting point is a description of characteristics of the disciplines and their historical genesis, followed by comparative studies. This edited volume brings together thirteen stimulating contributions on educational aspects of both disciplines written jointly by experienced researchers from Germany and Vietnam.
Book Synopsis Physics Education by : Hans Ernst Fischer
Download or read book Physics Education written by Hans Ernst Fischer and published by Springer Nature. This book was released on 2022-01-12 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive overview of the theoretical background and practice of physics teaching and learning and assists in the integration of highly interesting topics into physics lessons. Researchers in the field, including experienced educators, discuss basic theories, the methods and some contents of physics teaching and learning, highlighting new and traditional perspectives on physics instruction. A major aim is to explain how physics can be taught and learned effectively and in a manner enjoyable for both the teacher and the student. Close attention is paid to aspects such as teacher competences and requirements, lesson structure, and the use of experiments in physics lessons. The roles of mathematical and physical modeling, multiple representations, instructional explanations, and digital media in physics teaching are all examined. Quantitative and qualitative research on science education in schools is discussed, as quality assessment of physics instruction. The book is of great value to researchers involved in the teaching and learning of physics, to those training physics teachers, and to pre-service and practising physics teachers.
Book Synopsis Mathematics for Physics by : Michael M. Woolfson
Download or read book Mathematics for Physics written by Michael M. Woolfson and published by Oxford University Press. This book was released on 2007 with total page 805 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics for Physics features both print and online support, with many in-text exercises and end-of-chapter problems, and web-based computer programs, to both stimulate learning and build understanding.
Book Synopsis Student Misconceptions and Errors in Physics and Mathematics by : Teresa Neidorf
Download or read book Student Misconceptions and Errors in Physics and Mathematics written by Teresa Neidorf and published by Springer Nature. This book was released on 2019-10-30 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access report explores the nature and extent of students’ misconceptions and misunderstandings related to core concepts in physics and mathematics and physics across grades four, eight and 12. Twenty years of data from the IEA’s Trends in International Mathematics and Science Study (TIMSS) and TIMSS Advanced assessments are analyzed, specifically for five countries (Italy, Norway, Russian Federation, Slovenia, and the United States) who participated in all or almost all TIMSS and TIMSS Advanced assessments between 1995 and 2015. The report focuses on students’ understandings related to gravitational force in physics and linear equations in mathematics. It identifies some specific misconceptions, errors, and misunderstandings demonstrated by the TIMSS Advanced grade 12 students for these core concepts, and shows how these can be traced back to poor foundational development of these concepts in earlier grades. Patterns in misconceptions and misunderstandings are reported by grade, country, and gender. In addition, specific misconceptions and misunderstandings are tracked over time, using trend items administered in multiple assessment cycles. The study and associated methodology may enable education systems to help identify specific needs in the curriculum, improve inform instruction across grades and also raise possibilities for future TIMSS assessment design and reporting that may provide more diagnostic outcomes.
Book Synopsis Concepts, Strategies and Models to Enhance Physics Teaching and Learning by : Eilish McLoughlin
Download or read book Concepts, Strategies and Models to Enhance Physics Teaching and Learning written by Eilish McLoughlin and published by Springer. This book was released on 2019-07-24 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses novel research on and practices in the field of physics teaching and learning. It gathers selected high-quality studies that were presented at the GIREP-ICPE-EPEC 2017 conference, which was jointly organised by the International Research Group on Physics Teaching (GIREP); European Physical Society – Physics Education Division, and the Physics Education Commission of the International Union of Pure and Applied Physics (IUPAP). The respective chapters address a wide variety of topics and approaches, pursued in various contexts and settings, all of which represent valuable contributions to the field of physics education research. Examples include the design of curricula and strategies to develop student competencies—including knowledge, skills, attitudes and values; workshop approaches to teacher education; and pedagogical strategies used to engage and motivate students. This book shares essential insights into current research on physics education and will be of interest to physics teachers, teacher educators and physics education researchers around the world who are working to combine research and practice in physics teaching and learning.
Book Synopsis Understanding Physics Using Mathematical Reasoning by : Andrzej Sokolowski
Download or read book Understanding Physics Using Mathematical Reasoning written by Andrzej Sokolowski and published by Springer Nature. This book was released on 2021-08-20 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book speaks about physics discoveries that intertwine mathematical reasoning, modeling, and scientific inquiry. It offers ways of bringing together the structural domain of mathematics and the content of physics in one coherent inquiry. Teaching and learning physics is challenging because students lack the skills to merge these learning paradigms. The purpose of this book is not only to improve access to the understanding of natural phenomena but also to inspire new ways of delivering and understanding the complex concepts of physics. To sustain physics education in college classrooms, authentic training that would help develop high school students’ skills of transcending function modeling techniques to reason scientifically is needed and this book aspires to offer such training The book draws on current research in developing students’ mathematical reasoning. It identifies areas for advancements and proposes a conceptual framework that is tested in several case studies designed using that framework. Modeling Newton’s laws using limited case analysis, Modeling projectile motion using parametric equations and Enabling covariational reasoning in Einstein formula for the photoelectric effect represent some of these case studies. A wealth of conclusions that accompany these case studies, drawn from the realities of classroom teaching, is to help physics teachers and researchers adopt these ideas in practice.
Book Synopsis Mathematics for Physics and Physicists by : Walter Appel
Download or read book Mathematics for Physics and Physicists written by Walter Appel and published by . This book was released on 2007 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aims to show graduate students and researchers the vital benefits of integrating mathematics into their study and experience of the physical world. This book details numerous topics from the frontiers of modern physics and mathematics such as convergence, Green functions, complex analysis, Fourier series and Fourier transform, tensors, and others.
Book Synopsis Comparison of Mathematics and Physics Education II by : Frederik Dilling
Download or read book Comparison of Mathematics and Physics Education II written by Frederik Dilling and published by Springer Nature. This book was released on 2022-07-01 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interdisciplinary teaching is considered as one of the main goals of education worldwide. At the same time, it poses an immense challenge to teachers who have been trained in only one of the combines subjects. This is true even for closely related disciplines such as mathematics and physics. In this volume, practice-oriented educational comparisons are made across various topics that are highly relevant in both subjects. Furthermore, practical examples are presented in the form of lesson plans in which exemplary implementation in class is presented, considering both educational perspectives.
Book Synopsis Multiple Representations in Physics Education by : David F. Treagust
Download or read book Multiple Representations in Physics Education written by David F. Treagust and published by Springer. This book was released on 2017-07-24 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is important because despite various external representations, such as analogies, metaphors, and visualizations being commonly used by physics teachers, educators and researchers, the notion of using the pedagogical functions of multiple representations to support teaching and learning is still a gap in physics education. The research presented in the three sections of the book is introduced by descriptions of various psychological theories that are applied in different ways for designing physics teaching and learning in classroom settings. The following chapters of the book illustrate teaching and learning with respect to applying specific physics multiple representations in different levels of the education system and in different physics topics using analogies and models, different modes, and in reasoning and representational competence. When multiple representations are used in physics for teaching, the expectation is that they should be successful. To ensure this is the case, the implementation of representations should consider design principles for using multiple representations. Investigations regarding their effect on classroom communication as well as on the learning results in all levels of schooling and for different topics of physics are reported. The book is intended for physics educators and their students at universities and for physics teachers in schools to apply multiple representations in physics in a productive way.
Book Synopsis Physics Education for Students: An Interdisciplinary Approach by : Maria Teresa Caccamo
Download or read book Physics Education for Students: An Interdisciplinary Approach written by Maria Teresa Caccamo and published by Bentham Science Publishers. This book was released on 2021-08-11 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics Education for Students: An Interdisciplinary Approach is a compilation of reviews that highlight new approaches and trends in teaching and learning specific topics on physics to high school and university students. The reviews cover different areas of physics education (laboratory activities, mathematics, philosophy and history) and the ways that learning outcomes can be improved. These distinguished areas can generate complexities and difficulties for students in learning some concepts since the same topics are often presented while following approaches that do not highlight the existing correlations among the involved disciplines. The reviewers discuss an integrated framework for readers with the objective to promote the inclusion of specific laboratory activities and mathematics contents for physics courses addressed to university students, with evidence of the importance of combining a historical and philosophical approach as well. Specific topics in this book include the benefits of active learning in physics education, dialogic best practices in science education, research-based proposals on optical spectroscopy in secondary schools, didactic principles and e-learning in physics and expansive framing in physics laboratories. Physics Education for Students: An Interdisciplinary Approach, with its selection of expert reviews is an interesting read for academics and researchers involved in STEM education, at the school or college level.
Book Synopsis Mathematics for Physicists by : Alexander Altland
Download or read book Mathematics for Physicists written by Alexander Altland and published by Cambridge University Press. This book was released on 2019-02-14 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a comprehensive introduction to the key disciplines of mathematics - linear algebra, calculus, and geometry - needed in the undergraduate physics curriculum. Its leitmotiv is that success in learning these subjects depends on a good balance between theory and practice. Reflecting this belief, mathematical foundations are explained in pedagogical depth, and computational methods are introduced from a physicist's perspective and in a timely manner. This original approach presents concepts and methods as inseparable entities, facilitating in-depth understanding and making even advanced mathematics tangible. The book guides the reader from high-school level to advanced subjects such as tensor algebra, complex functions, and differential geometry. It contains numerous worked examples, info sections providing context, biographical boxes, several detailed case studies, over 300 problems, and fully worked solutions for all odd-numbered problems. An online solutions manual for all even-numbered problems will be made available to instructors.
Book Synopsis Equations of Mathematical Physics by : A. N. Tikhonov
Download or read book Equations of Mathematical Physics written by A. N. Tikhonov and published by Courier Corporation. This book was released on 2013-09-16 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents: I. Classification of Partial Differential Equations II. Evaluations of the Hyperbolic Type III. Equations of the Parabolic Type IV. Equations of Elliptic Type V. Wave Propagation in Space VI. Heat Conduction in Space VII. Equations of Elliptic Type (Continuation) The authors — two well-known Russian mathematicians — have focused on typical physical processes and the principal types of equations dealing with them. Special attention is paid throughout to mathematical formulation, rigorous solutions, and physical interpretation of the results obtained. Carefully chosen problems designed to promote technical skills are contained in each chapter, along with extremely useful appendixes that supply applications of solution methods described in the main text. At the end of the book, a helpful supplement discusses special functions, including spherical and cylindrical functions.
Book Synopsis New Trends in Physics Education Research by : Salvatore Magazù
Download or read book New Trends in Physics Education Research written by Salvatore Magazù and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Those who operate in physics education frequently ask research operators for suggestions, reference models, updated content and answers for their professional work. So far, the sector has not achieved significant advances specifically in terms of both content updates and methodology approaches. In the special issue, titled New Trends in Physics Education Research, the authors, in addition to presenting some new topics in physics education, take into account the greater relevance that in recent years the Evidence Based Education has taken place. In this framework, the main points of issue include: 1) Dealing with new trends in teaching and learning processes in physics; highlighting new mathematics content for physics courses; 3) giving evidence of the key role played by laboratory activities in physics training courses; and 4) stressing the importance of interdisciplinary approaches as well as scientific culture, communication and dissemination. Physics teaching involves several fields and different disciplines (such as mathematics, philosophy, laboratory activities, etc.) where the same arguments are often explained without clarifying that often there is a close correlation between disciplines. In particular, an integrated theoretical and experimental approach can improve the knowledge of some subjects of physics and mathematics; furthermore, it is also useful to employ a joint approach with laboratory activities, and by doing so enriching topics of meaning. In such cases, mathematics provides the adapt tools for physics and also is able to drive physical intuition; on the other hand, physics and its laboratory activities provide simple access to mathematical topics of complex comprehension. The issue is addressed to academics and schoolteachers as well as researchers in the field of physics education.
Book Synopsis Mathematical Methods for Physics and Engineering by : Mattias Blennow
Download or read book Mathematical Methods for Physics and Engineering written by Mattias Blennow and published by CRC Press. This book was released on 2018-01-03 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduate and graduate students, this new textbook contains an introduction to the mathematical concepts used in physics and engineering. The entire book is unique in that it draws upon applications from physics, rather than mathematical examples, to ensure students are fully equipped with the tools they need. This approach prepares the reader for advanced topics, such as quantum mechanics and general relativity, while offering examples, problems, and insights into classical physics. The book is also distinctive in the coverage it devotes to modelling, and to oft-neglected topics such as Green's functions.
Book Synopsis Physics in a New Era by : National Research Council
Download or read book Physics in a New Era written by National Research Council and published by National Academies Press. This book was released on 2001-07-15 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics at the beginning of the twenty-first century has reached new levels of accomplishment and impact in a society and nation that are changing rapidly. Accomplishments have led us into the information age and fueled broad technological and economic development. The pace of discovery is quickening and stronger links with other fields such as the biological sciences are being developed. The intellectual reach has never been greater, and the questions being asked are more ambitious than ever before. Physics in a New Era is the final report of the NRC's six-volume decadal physics survey. The book reviews the frontiers of physics research, examines the role of physics in our society, and makes recommendations designed to strengthen physics and its ability to serve important needs such as national security, the economy, information technology, and education.
Book Synopsis New Trends in Physics Education Research by : Salvatore Magazáu
Download or read book New Trends in Physics Education Research written by Salvatore Magazáu and published by . This book was released on 2018 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Those who operate in physics education frequently ask research operators for suggestions, reference models, updated content and answers for their professional work. So far, the sector has not achieved significant advances specifically in terms of both content updates and methodology approaches. In the special issue, titled New Trends in Physics Education Research, the authors, in addition to presenting some new topics in physics education, take into account the greater relevance that in recent years the Evidence Based Education has taken place. In this framework, the main points of issue include: 1) Dealing with new trends in teaching and learning processes in physics; highlighting new mathematics content for physics courses; 3) giving evidence of the key role played by laboratory activities in physics training courses; and 4) stressing the importance of interdisciplinary approaches as well as scientific culture, communication and dissemination. Physics teaching involves several fields and different disciplines (such as mathematics, philosophy, laboratory activities, etc.) where the same arguments are often explained without clarifying that often there is a close correlation between disciplines. In particular, an integrated theoretical and experimental approach can improve the knowledge of some subjects of physics and mathematics; furthermore, it is also useful to employ a joint approach with laboratory activities, and by doing so enriching topics of meaning. In such cases, mathematics provides the adapt tools for physics and also is able to drive physical intuition; on the other hand, physics and its laboratory activities provide simple access to mathematical topics of complex comprehension. The issue is addressed to academics and schoolteachers as well as researchers in the field of physics education.
