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Author: Simon Friedrich Kraus
Publisher: Springer Nature
ISBN: 3658298804
Category : Education
Languages : en
Pages : 382
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Book Description
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.
Author: Simon Friedrich Kraus
Publisher: Springer Nature
ISBN: 3658298804
Category : Education
Languages : en
Pages : 382
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Book Description
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.
Author: Frederik Dilling
Publisher: Springer Nature
ISBN: 3658364157
Category : Mathematics
Languages : en
Pages : 341
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Book Description
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.
Author: Gesche Pospiech
Publisher: Springer
ISBN: 3030046273
Category : Science
Languages : en
Pages : 385
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Book Description
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.
Author: Sabine Hossenfelder
Publisher: Basic Books
ISBN: 0465094260
Category : Science
Languages : en
Pages : 277
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Book Description
In this "provocative" book (New York Times), a contrarian physicist argues that her field's modern obsession with beauty has given us wonderful math but bad science. Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.
Author: Maria Teresa Caccamo
Publisher: Bentham Science Publishers
ISBN: 9814998524
Category : Education
Languages : en
Pages : 131
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Book Description
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.
Author: Teresa Neidorf
Publisher: Springer Nature
ISBN: 3030301885
Category : Education
Languages : en
Pages : 173
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Book Description
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.
Author: Frederick W. Byron
Publisher: Courier Corporation
ISBN: 0486135063
Category : Science
Languages : en
Pages : 674
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Book Description
Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.
Author: George Gamow
Publisher: Cambridge University Press
ISBN: 1107604680
Category : Science
Languages : en
Pages : 209
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Book Description
Since his first appearance over sixty years ago, Mr Tompkins has become known and loved by many readers as the bank clerk whose fantastic dreams lead him into a world inside the atom. This classic provides a delightful explanation of the central concepts in physics, from atomic structure to relativity.
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309073421
Category : Science
Languages : en
Pages : 203
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Book Description
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.
Author: Dieter Röss
Publisher: Walter de Gruyter
ISBN: 3110250071
Category : Mathematics
Languages : en
Pages : 258
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Book Description
Mathematics course with 60 Java-based interactive mathematic simulations by the author Comprehensive and systematically organized collection of 2,000 Java-based physics simulations All simulations are runnable, and can be accessed both on- and offline Visualization of mathematic relationships Facilitates an experiment-based understanding of problems, including suggestions for your own mathematical experiments Calculation procedures can be adjusted in a variety of ways Introduction to simulation techniques with the EJS (Easy Java Simulation) tool Visual interface for simple and transparent modeling and programming Building block library for programming one's own simulations Quick access to simulations from links embedded in the digital text Mathematics is the language of physics and technology. Yet in the age of computers, mathematic skill is not based on mastery of arithmetic. Rather, it depends on understanding relationships in time and space, and expressing them with precise and clear formulas. In this regard, one cannot rely on the rote memorization of rules and formulas - insight and intuitive understanding are crucial. But how can this understanding be achieved in higher mathematics, which depends on abstract concepts such as complex numbers, real and complex infinite series, infinitesimal calculus, 2, 3, and 4 dimensional functions, conformal maps, vectors, and linear and nonlinear ordinary and partial differential equations? The author takes a highly practical approach to facilitating the insight essential for true learning in mathematics. Students can work directly with the simulation programs, can visualize relationships, and creatively interact with the calculation procedures. Proceeding in textbook fashion, the work makes use of a broad palette of multimedia tools, and features numerous interactive calculation programs for mathematical experimentation. Students merely have to select one of the many predefined examples and set the relevant parameters - and in a flash the results are graphically displayed in 2 or 3 dimensions. In addition, the specific functions used can be changed or even newly formulated according to user preferences. For example, a procedure developed for a fourth degree power function for the numerical calculation of zero points can be adapted for use with another function. Each simulation is accompanied by a detailed description, instructions for use, and numerous suggestions for experimentation. The mathematical simulations are based on the Easy Java Simulation (EJS) programming tool. All of the files developed with EJS are completely open and transparent. The user can even draw on the examples as building blocks for the development his or her own calculation procedures. The appendix contains a short introduction to EJS. The work is enriched by a comprehensive collection of cosmological simulations as well as models from the Open Source Physics project, organized by subject area. Intended as a systematic collection of methods and materials for upper-secondary school teachers and as a course for students of physics and mathematics, the work facilitates hands-on and experiment-driven learning in higher mathematics. The print version contains the electronic text and simulations for offline use. For questions concerning download or online access to the simulations, please contact
[email protected].
