Comparison Of Mathematics And Physics Education I
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Author | : Simon Friedrich Kraus |
Publisher | : Springer Nature |
Total Pages | : 393 |
Release | : 2020-04-29 |
Genre | : Education |
ISBN | : 3658298804 |
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 | : Gesche Pospiech |
Publisher | : Springer |
Total Pages | : 383 |
Release | : 2019-07-02 |
Genre | : Science |
ISBN | : 3030046273 |
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 | : Frederik Dilling |
Publisher | : Springer Nature |
Total Pages | : 341 |
Release | : 2022-07-01 |
Genre | : Mathematics |
ISBN | : 3658364157 |
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 | : Teresa Neidorf |
Publisher | : Springer Nature |
Total Pages | : 173 |
Release | : 2019-10-30 |
Genre | : Education |
ISBN | : 3030301885 |
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 | : Richard A. Muller |
Publisher | : W. W. Norton & Company |
Total Pages | : 426 |
Release | : 2016-09-20 |
Genre | : Science |
ISBN | : 0393285243 |
From the celebrated author of the best-selling Physics for Future Presidents comes “a provocative, strongly argued book on the fundamental nature of time” (Lee Smolin). You are reading the word "now" right now. But what does that mean? "Now" has bedeviled philosophers, priests, and modern-day physicists from Augustine to Einstein and beyond. In Now, eminent physicist Richard A. Muller takes up the challenge. He begins with remarkably clear explanations of relativity, entropy, entanglement, the Big Bang, and more, setting the stage for his own revolutionary theory of time, one that makes testable predictions. Muller’s monumental work will spark major debate about the most fundamental assumptions of our universe, and may crack one of physics’ longest-standing enigmas.
Author | : Frederick W. Byron |
Publisher | : Courier Corporation |
Total Pages | : 674 |
Release | : 2012-04-26 |
Genre | : Science |
ISBN | : 0486135063 |
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 | : Richard P. Feynman |
Publisher | : Addison-Wesley Longman |
Total Pages | : 328 |
Release | : 1996-09-08 |
Genre | : Computers |
ISBN | : |
Covering the theory of computation, information and communications, the physical aspects of computation, and the physical limits of computers, this text is based on the notes taken by one of its editors, Tony Hey, on a lecture course on computation given b
Author | : Sabine Hossenfelder |
Publisher | : Basic Books |
Total Pages | : 286 |
Release | : 2018-06-12 |
Genre | : Science |
ISBN | : 0465094260 |
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 | : George Gamow |
Publisher | : Cambridge University Press |
Total Pages | : 209 |
Release | : 2012-03-26 |
Genre | : Science |
ISBN | : 1107604680 |
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 | : Magdalena Kersting |
Publisher | : Routledge |
Total Pages | : 499 |
Release | : 2021-08-30 |
Genre | : Education |
ISBN | : 1000374130 |
In our world today, scientists and technologists speak one language of reality. Everyone else, whether they be prime ministers, lawyers, or primary school teachers speak an outdated Newtonian language of reality. While Newton saw time and space as rigid and absolute, Einstein showed that time is relative – it depends on height and velocity – and that space can stretch and distort. The modern Einsteinian perspective represents a significant paradigm shift compared with the Newtonian paradigm that underpins most of the school education today. Research has shown that young learners quickly access and accept Einsteinian concepts and the modern language of reality. Students enjoy learning about curved space, photons, gravitational waves, and time dilation; often, they ask for more! A consistent education within the Einsteinian paradigm requires rethinking of science education across the entire school curriculum, and this is now attracting attention around the world. This book brings together a coherent set of chapters written by leading experts in the field of Einsteinian physics education. The book begins by exploring the fundamental concepts of space, time, light, and gravity and how teachers can introduce these topics at an early age. A radical change in the curriculum requires new learning instruments and innovative instructional approaches. Throughout the book, the authors emphasise and discuss evidence-based approaches to Einsteinian concepts, including computer- based tools, geometrical methods, models and analogies, and simplified mathematical treatments. Teaching Einsteinian Physics in Schools is designed as a resource for teacher education students, primary and secondary science teachers, and for anyone interested in a scientifically accurate description of physical reality at a level appropriate for school education.