Didaktische Probleme Der Elementaren Algebra
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Didaktische Probleme Der Elementaren Algebra
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Author : Günther Malle
language : de
Publisher: Springer-Verlag
Release Date : 2013-07-29
Didaktische Probleme Der Elementaren Algebra written by Günther Malle and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-29 with Science categories.
Das Buch beleuchtet - ausgehend von einer Analyse des Variablenbegriffs und der Verwendung von Variablen in verschiedenen Bereichen - den Stellenwert dieses Gebietes neu. Dabei wird vor allem die traditionelle Gleichungslehre kritisch unter die Lupe genommen. Zahlreiche Fallstudien (Interviews mit Schülern) stellen die angestellten Überlegungen auf eine solide empirische Basis. Davon ausgehend werden detaillierte methodische Vorschläge zur Behandlung dieses Stoffgebietes im Unterricht entwickelt und an konkreten Au fgaben illustriert. Besonderes Augenmerk wird der Erklärung von S chülerfehlern beim Umgehen mit algebraischen Ausdrücken zugewandt .
Didaktische Probleme Der Elementaren Algebra
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Author : Günther Malle
language : de
Publisher:
Release Date : 1993
Didaktische Probleme Der Elementaren Algebra written by Günther Malle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Problem Posing And Solving For Mathematically Gifted And Interested Students
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Author : Deniz Sarikaya
language : en
Publisher: Springer Nature
Release Date : 2023-10-31
Problem Posing And Solving For Mathematically Gifted And Interested Students written by Deniz Sarikaya and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-31 with Mathematics categories.
Mathematics and mathematics education research have an ongoing interest in improving our understanding of mathematical problem posing and solving. This book focuses on problem posing in a context of mathematical giftedness. The contributions particularly address where such problems come from, what properties they should have, and which differences between school mathematics and more complex kinds of mathematics exist. These perspectives are examined internationally, allowing for cross-national insights.
Teaching And Learning Algebraic Thinking With 5 To 12 Year Olds
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Author : Carolyn Kieran
language : en
Publisher: Springer
Release Date : 2017-12-04
Teaching And Learning Algebraic Thinking With 5 To 12 Year Olds written by Carolyn Kieran and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-04 with Education categories.
This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings. The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children’s developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.
Algebra Teaching Around The World
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Author : Frederick K.S. Leung
language : en
Publisher: Springer
Release Date : 2014-10-13
Algebra Teaching Around The World written by Frederick K.S. Leung and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-13 with Education categories.
Utilizing the LPS dataset, Algebra Teaching around the World documents eighth grade algebra teaching across a variety of countries that differ geographically and culturally. Different issues in algebra teaching are reported, and different theories are used to characterize algebra lessons or to compare algebra teaching in different countries. Many commonalities in algebra teaching around the world are identified, but there are also striking and deep-rooted differences. The different ways algebra was taught in different countries point to how algebra teaching may be embedded in the culture and the general traditions of mathematics education of the countries concerned. In particular, a comparison is made between algebra lessons in the Confucian-Heritage Culture (CHC) countries and ‘Western’ countries. It seems that a common emphasis of algebra teaching in CHC countries is the ‘linkage’ or ‘coherence’ of mathematics concepts, both within an algebraic topic and between topics. On the other hand, contemporary algebra teaching in many Western school systems places increasing emphasis on the use of algebra in mathematical modeling in ‘real world’ contexts and in the instructional use of metaphors, where meaning construction is assisted by invoking contexts outside the domain of algebraic manipulation, with the intention to helping students to form connections between algebra and other aspects of their experience. Algebra Teaching around the World should be of value to researchers with a focus on algebra, pedagogy or international comparisons of education. Because of the pedagogical variations noted here, there is a great deal of material that will be of interest to both teachers and teacher educators.
Why Teach Mathematics
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Author : H.W. Heymann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Why Teach Mathematics written by H.W. Heymann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Education categories.
In this book, the author discusses a modern concept of general education that then helps to clarify both curricular and pedagogical deficits involved in conventional mathematics instruction. It provides an outline of an alternative mathematics instruction that can help to realize a general education and presents detailed arguments for seven interconnected objectives of a school system aiming at general education.
The Learning And Teaching Of Algebra
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Author : Abraham Arcavi
language : en
Publisher: Routledge
Release Date : 2016-06-23
The Learning And Teaching Of Algebra written by Abraham Arcavi and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-23 with Education categories.
IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Algebra provides a pedagogical framework for the teaching and learning of algebra grounded in theory and research. Areas covered include: • Algebra: Setting the Scene • Some Lessons From History • Seeing Algebra Through the Eyes of a Learner • Emphases in Algebra Teaching • Algebra Education in the Digital Era This guide will be essential reading for trainee and qualified teachers of mathematics, graduate students, curriculum developers, researchers and all those who are interested in the "problématique" of teaching and learning algebra. It allows you to get involved in the wealth of knowledge that teachers can draw upon to assist learners, helping you gain the insights that mastering algebra provides.
Secondary Algebra Education Revisiting Topics And Themes And Exploring The Unknown
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Author : Paul Drijvers
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-19
Secondary Algebra Education Revisiting Topics And Themes And Exploring The Unknown written by Paul Drijvers and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-19 with Education categories.
Nowadays, algebra education is subject to worldwide scrutiny. Different opinions on its goals, approaches and achievements are at the heart of debates among teachers, educators, researchers and decision makers. What should the teaching of algebra in secondary school mathematics look like? Should it focus on procedural skills or on algebraic insight? Should it stress practice or integrate technology? Do we require formal proofs and notations, or do informal representations suffice? Is algebra in school an abstract subject, or does it take its relevance from application in (daily life) contexts? What should secondary school algebra education that prepares for higher education and professional practice in the twenty-first century look like? This book addresses these questions, and aims to inform in-service and future teachers, mathematics educators and researchers on recent insights in the domain, and on specific topics and themes such as the historical development of algebra, the role of productive practice, and algebra in science and engineering in particular. The authors, all affiliated with the Freudenthal Institute for Science and Mathematics Education in the Netherlands, share a common philosophy, which acts as a ? sometimes nearly invisible ? backbone for the overall view on algebra education: the theory of realistic mathematics education. From this point of departure, different perspectives are chosen to describe the opportunities and pitfalls of today’s and tomorrow’s algebra education. Inspiring examples and reflections illustrate current practice and explore the unknown future of algebra education to appropriately meet students’ needs.
Technology Assisted Guided Discovery To Support Learning
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Author : Lisa Göbel
language : en
Publisher: Springer Nature
Release Date : 2021-02-23
Technology Assisted Guided Discovery To Support Learning written by Lisa Göbel and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-23 with Mathematics categories.
Technology is becoming more and more integrated in mathematics teaching and the use of technology is explicitly demanded by the curricula. Technology can be for example integrated while conceptualizing parameters of quadratic functions. In this thesis three technical visualizations (classic function plotter, drag mode, and sliders) for the manipulation of parameters of quadratic functions shall be compared with an access without the possibility of technical visualization. For this purpose, a Guided Discovery environment was developed, which was conducted in an intervention study with 14 classes of grade 9 (N=383). Different strengths and weaknesses of the individual visualizations in favor of the dynamic visualizations by drag mode and slider are shown. Also, different potentials and constraints of the use of technology are visible, for example the students use the technology to test their own hypotheses that were generated through the use of technology. The author Lisa Göbel completed her dissertation as a research assistant under Prof. Dr. Bärbel Barzel in the Mathematics Education department at the University of Duisburg-Essen. Her interests include functional thinking and the use of technology in mathematics teaching.
Mathematics In Physics Education
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Author : Gesche Pospiech
language : en
Publisher: Springer
Release Date : 2019-07-02
Mathematics In Physics Education written by Gesche Pospiech and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-02 with Science categories.
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.