Mathematik In Eigenen Worten Lernumgebungen F R Die Sekundarstufe I
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Mathematik In Eigenen Worten Lernumgebungen F R Die Sekundarstufe I
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Author : Sieglinde Waasmaier
language : de
Publisher:
Release Date : 2013
Mathematik In Eigenen Worten Lernumgebungen F R Die Sekundarstufe I written by Sieglinde Waasmaier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Teaching And Learning Mathematical Modelling
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Author : Gilbert Greefrath
language : en
Publisher: Springer
Release Date : 2016-08-20
Teaching And Learning Mathematical Modelling written by Gilbert Greefrath and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-20 with Education categories.
This survey provides an overview of the German discussion on modelling and applications in schools. It considers the development from the beginning of the 20th century to the present, and discusses the term “mathematical model” as well as different representations of the modelling process as modelling cycles. Different trends in the historical and current debate on applications and modelling can be differentiated as perspectives of modelling. Modelling is now one of the six general mathematical competencies defined in the educational standards for mathematics introduced in Germany in 2003, and there have been several initiatives to implement modelling in schools, as well as a whole range of empirical research projects focusing on teachers or students in modelling processes. As a special kind for implementing modelling into school, modelling weeks and days carried out by various German universities have been established.
Mathematical Miniatures
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Author : Svetoslav Savchev
language : en
Publisher: MAA
Release Date : 2003-02-27
Mathematical Miniatures written by Svetoslav Savchev and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-27 with Education categories.
Rather than simply a collection of problems, this book can be thought of as both a tool chest of mathematical techniques and an anthology of mathematical verse. The authors have grouped problems so as to illustrate and highlight a number of important techniques and have provided enlightening solutions in all cases. As well as this there are essays on topics that are not only beautiful but also useful. The essays are diverse and enlivened by fresh, non-standard ideas. This book not only teaches techniques but gives a flavour of their past, present and possible future implications. It is a collection of miniature mathematical works in the fullest sense.
Making Sense Of Word Problems
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Author : Eric de Corte
language : en
Publisher: CRC Press
Release Date : 2000-01-01
Making Sense Of Word Problems written by Eric de Corte and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Education categories.
Word problems have been a staple of mathematics instruction for centuries, yet the rationale for their use has remained largely unexamined. A range of findings have shown how students consistently answer them in ways that fail to take account of the reality of the situations described. This monograph reports on studies carried out to investigate this "suspension of sense-making" in answering word problems. In Part One, a wide range of examples documenting the strength of the phenomenon is reviewed. Initial surprise at the findings was replaced by a conviction that the explanation lies in the culture of the mathematics classroom, specifically the rules implicitly governing the nature and interpretation of the word problem genre. This theoretical shift is reflected in Part Two. A detailed analysis of the way in which word problems are currently taught in typical mathematical classrooms is followed by reviews of design experiments illustrating how, by immersing students in a fundamentally changed learning environment, they can acquire what the authors consider to be more appropriate conceptions about, and strategies for doing, word problems. Part Three turns to a wider discussion of theoretical issues, a further analysis of the features of the educational system considered responsible for outcomes detrimental to many students' understanding and conception of mathematics, and suggestions for rethinking the role of word problems within the curriculum.
Modelling And Applications In Mathematics Education
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Author : Peter L. Galbraith
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-05
Modelling And Applications In Mathematics Education written by Peter L. Galbraith 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 2007-12-05 with Education categories.
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.
Euclid The Creation Of Mathematics
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Author : Benno Artmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Euclid The Creation Of Mathematics written by Benno Artmann 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 2012-12-06 with Mathematics categories.
Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of mathematics with a solid background in high school geometry, whether they be students or university professors.
Pisa 2018 Results Volume I What Students Know And Can Do
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Author : OECD
language : en
Publisher: OECD Publishing
Release Date : 2019-12-03
Pisa 2018 Results Volume I What Students Know And Can Do written by OECD and has been published by OECD Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-03 with categories.
This is one of six volumes that present the results of the PISA 2018 survey, the seventh round of the triennial assessment. Volume I, What Students Know and Can Do, provides a detailed examination of student performance in reading, mathematics and science, and describes how performance has changed since previous PISA assessments.
Mathematische Vor Und Br Ckenkurse
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Author : Isabell Bausch
language : de
Publisher: Springer-Verlag
Release Date : 2013-10-23
Mathematische Vor Und Br Ckenkurse written by Isabell Bausch and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-23 with Mathematics categories.
Der Tagungsband gibt einen breiten Überblick über Ziele, Kursszenarien und Lehr-Lernkonzepte, Unterstützungsmaßnahmen in der Studieneingangsphase, Möglichkeiten des Assessments und der Diagnostik sowie einen Ausblick zur Zukunft von mathematischen Vor- und Brückenkursen. Zudem werden aktuelle Vor- und Brückenkursprojekte vorgestellt und der aktuelle empirische und theoretisch-konzeptionelle didaktische Forschungsstand in diesem Bereich abgebildet.
Formulation Processes In Mathematical Modelling
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Author : Vern Treilibs
language : en
Publisher:
Release Date : 1980
Formulation Processes In Mathematical Modelling written by Vern Treilibs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematical models categories.
Magnificent Mistakes In Mathematics
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Author : Alfred S. Posamentier
language : en
Publisher: Prometheus Books
Release Date : 2013-08-13
Magnificent Mistakes In Mathematics written by Alfred S. Posamentier and has been published by Prometheus Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-13 with Mathematics categories.
Two veteran math educators demonstrate how some "magnificent mistakes" had profound consequences for our understanding of mathematics' key concepts. In the nineteenth century, English mathematician William Shanks spent fifteen years calculating the value of pi, setting a record for the number of decimal places. Later, his calculation was reproduced using large wooden numerals to decorate the cupola of a hall in the Palais de la Découverte in Paris. However, in 1946, with the aid of a mechanical desk calculator that ran for seventy hours, it was discovered that there was a mistake in the 528th decimal place. Today, supercomputers have determined the value of pi to trillions of decimal places. This is just one of the amusing and intriguing stories about mistakes in mathematics in this layperson's guide to mathematical principles. In another example, the authors show that when we "prove" that every triangle is isosceles, we are violating a concept not even known to Euclid - that of "betweenness." And if we disregard the time-honored Pythagorean theorem, this is a misuse of the concept of infinity. Even using correct procedures can sometimes lead to absurd - but enlightening - results. Requiring no more than high-school-level math competency, this playful excursion through the nuances of math will give you a better grasp of this fundamental, all-important science.
