Mathematik Und Wirklichkeit Von Den Wurzeln Der Mathematik Zu Einer Didaktik Des Sachrechnens
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Mathematik Und Wirklichkeit Von Den Wurzeln Der Mathematik Zu Einer Didaktik Des Sachrechnens
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Author : Jörg Dieter
language : de
Publisher: GRIN Verlag
Release Date : 2002-12-13
Mathematik Und Wirklichkeit Von Den Wurzeln Der Mathematik Zu Einer Didaktik Des Sachrechnens written by Jörg Dieter and has been published by GRIN Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-13 with Education categories.
Examensarbeit aus dem Jahr 1998 im Fachbereich Didaktik - Mathematik, Note: 1,0, Pädagogische Hochschule Weingarten (Fakultät III), Sprache: Deutsch, Abstract: Im ersten Kapitel will ich mich zunächst der Frage zuwenden, was Mathematik eigentlich ist. Schaut man sich an, was Mathematiker und Wissenschaftstheoretiker zu dieser Frage zu sagen haben, so stellt man fest, daß ihre Ansichten zum Teil diametral entgegengesetzt sind. Manche sehen in der Mathematik eine Kunst, die höchste Blüte des menschlichen Geistes und wollen sie allein um des ästhetischen Genusses wegen betrieben sehen. Andere gestehen ihr nur deswegen eine Daseinsberechtigung zu, weil sie auf die Wirklichkeit anwendbar ist. [...] Im zweiten Kapitel werde ich mich mit dem Begriff der Wirklichkeit beschäftigen und versuchen aufzuzeigen, in welcher Beziehung er zur Mathematik steht. Dabei möchte ich auch auf die Bedeutung der Mathematik für die Lebenswirklichkeit der Schüler heute eingehen und die Frage erörtern, welche mathematischen Fähigkeiten sie benöti-gen, um in der heutigen Gesellschaft zu bestehen und welche Fähigkeiten die Gesell-schaft den Schülern abverlangen muß, um ihre eigene Existenz zu sichern. Im dritten Kapitel untersuche ich auf welche Weise Mathematik in diesem Jahrhundert in Deutschland unterrichtet wurde, in welcher Weise man dabei die angewandte Ma-thematik in den Unterricht integrierte und welche Probleme dabei auftraten. Ausge-hend von den Informationen die ich im Verlauf meiner Arbeit über die Mathematik, die Schüler mit ihren Bedürfnissen und den Mathematikunterricht gesammelt habe, werde ich schließlich Vorschläge zur Verbesserung der im Bildungs- und Lehrplan für die Realschulen in Baden-Württemberg fixierten Konzeption von Mathematikunter-richt machen. Ich hoffe, es ist mir mit meiner Arbeit gelungen, einen Überblick über Material zu ge-ben, das sich normalerweise über viele Bücher verteilt findet: Bücher über Mathema-tikdidaktik, Mathematikgeschichte, Philosophie der Mathematik, Wissenschaftstheo-rie, Soziologie und so fort. - Material, das in Büchern über die Didaktik und Methodik des Sachrechnens häufig auf wenigen Seiten abgehandelt oder gar nicht erwähnt wird, das mir aber dennoch für die Planung von Sachrechenunterricht relevant zu sein scheint. Möge diese Arbeit den Leser erfreuen und ihm, so er Lehrer ist, bei der Ges-taltung seines Unterrichts von Nutzen sein.
Zum Einsatz Des Legespiels Monodomus Im Mathematikunterricht Der Jahrgangsstufe 2 Unter Besonderer Ber Cksichtigung Von Jungen
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Author : Sabine Huhn
language : de
Publisher: GRIN Verlag
Release Date : 2007-08
Zum Einsatz Des Legespiels Monodomus Im Mathematikunterricht Der Jahrgangsstufe 2 Unter Besonderer Ber Cksichtigung Von Jungen written by Sabine Huhn and has been published by GRIN Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08 with categories.
Examensarbeit aus dem Jahr 2002 im Fachbereich Mathematik - Didaktik, Note: 2,0, Universität Regensburg, 72 Quellen im Literaturverzeichnis, Sprache: Deutsch, Abstract: Im neuen bayerischen Lehrplan für die Grundschulen, der seit dem Schuljahr 2001/2002 verbindlich eingeführt wurde, erhält der Geometrieunterricht eine ganz neue Gewichtung und ist endlich aus seinem "Aschenputteldasein" geführt worden.Im Rahmen meiner Zulassungsarbeit möchte ich mich daher eingehend mit Geometrieunterricht in der Grundschule beschäftigen. Im theoretischen Teil soll zunächst in einem historischen Rückblick, insbesondere den Entwicklungslinien im Mathematikunterricht ab 1945 nachgegangen werden. Neuere Tendenzen, die vor allem unter dem Schlagwort "Veränderte Kindheit" publik geworden sind und die Stellung des Lernbereichs "Geometrie" im neuen bayerischen Grundschullehrplan werden dann dargestellt. Im Folgenden sollen lern- und entwicklungspsychologische Hintergründe, sowie Ziele und Aufgaben des Geometrieunterrichts in der Grundschule hinterleuchtet werden. Ein kleiner Exkurs zum Thema Spielen und Legespiele soll auf die Arbeit mit dem Legespiel MONODOMUS hinführen. Nach den theoretischen Überlegungen werden die einzelnen Seiten des Arbeitsheftes MONODOMUS (2. Klasse: S.14-33) in Form eines Lehrerbandes besprochen. Das Legespiel MONODOMUS wurde in drei 2. Klassen jeweils an zwei Schulvormittagen erprobt. In einer geschlechterspezifischen Auswertung, sollen die speziellen Beobachtungen, Fähigkeiten und Defizite in Zusammenhang mit dem Legespiel bei Jungen diskutiert werden. Eine abschließende Evaluation soll die empirische Untersuchung kritisch beleuchten.
How To Solve It
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Author : George Pólya
language : en
Publisher: Princeton University Press
Release Date : 2014
How To Solve It written by George Pólya and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.
"Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams."--Back cover.
Five Minute Mathematics
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Author : Ehrhard Behrends
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-01-01
Five Minute Mathematics written by Ehrhard Behrends and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
This collection of one hundred short essays gives readers a grand tour through contemporary and everyday mathematics. Behrends provides classics from his newspaper column in Die Welt, expands and illustrates them, and gives readers just enough information at a time to build mastery of concepts and applications. The topics range from pure mathematics to applied math, but all essays are suspenseful and fun to read. This is a very handy tool for teachers of all levels of mathematics (even elementary school children will be able to handle some of the topics), and Behrends assumes his readership has and interest but only a minimal background in mathematics so the essays are accessible but not dumbed-down.
Episodes In The Mathematics Of Medieval Islam
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Author : J.L. Berggren
language : en
Publisher: Springer
Release Date : 2017-01-18
Episodes In The Mathematics Of Medieval Islam written by J.L. Berggren and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-18 with Mathematics categories.
This book presents an account of selected topics from key mathematical works of medieval Islam, based on the Arabic texts themselves. Many of these works had a great influence on mathematics in Western Europe. Topics covered in the first edition include arithmetic, algebra, geometry, trigonometry, and numerical approximation; this second edition adds number theory and combinatorics. Additionally, the author has included selections from the western regions of medieval Islam—both North Africa and Spain. The author puts the works into their historical context and includes numerous examples of how mathematics interacted with Islamic society.
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.
Pattern In The Teaching And Learning Of Mathematics
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Author : Anthony Orton
language : en
Publisher: A&C Black
Release Date : 2004-10-01
Pattern In The Teaching And Learning Of Mathematics written by Anthony Orton and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-01 with Education categories.
This highly illustrated book draws together the wide variety of studies in the learning of mathematics undertaken by the Pattern in Mathematics Research Group at the University of Leeds. Their purpose has been '... to provide structure and support to ... studies of children's perception, conception and use of pattern in learning mathematics'. Set up in 1992, they have embraced work across the whole curriculum, and through all the years of compulsory schooling. As each chapter of this book relates to a different study that was undertaken, the reader can dip in and select relevant material. At the same time, the editor has ensured continuity and progression, allowing the book to be approached as a whole: the early chapters are concerned with very young children; subsequent chapters deal with the primary and middle age ranges, and later ones relate to secondary school work. With individual chapters relating to number, algebra, shape, graphic relations and probability, this new volume provides guidance for teachers of pupils of all age groups. Patterns in mathematics are of immense importance; this book relates pattern to the teaching of mathematics through all years of school. Practical and original, it is closely tied to the National Curriculum. It is a source of new ideas for mathematic teachers at all levels.
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.
The Concept Of Education According To Wolfgang Klafki From Educational Theory To Critical Constructive Didactics
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Author :
language : en
Publisher: GRIN Verlag
Release Date : 2021-10-12
The Concept Of Education According To Wolfgang Klafki From Educational Theory To Critical Constructive Didactics written by and has been published by GRIN Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-12 with Education categories.
Seminar paper from the year 2015 in the subject Didactics - Common Didactics, Educational Objectives, Methods, grade: 1,3, University of Trier, language: English, abstract: Within the framework of this term paper, it will be explained, according to Wolfgang Klafki, what education-theoretical didactics is and what forms of education exist. The question of the meaning of categorical education and the function of didactic analysis will also be explored. Before theories and models of didactics can be explained and contexts understood, a basic understanding of what didactics is in the first place and which factors play a role here must first be established. The question of the meaning of didactics is not easy to answer. The word has its origins in the Greek "didáskein", which translates as "to teach" and "to instruct" or "to learn" and "to be taught". Already here it becomes clear that two elementary processes are interrelated and complement each other, which has not changed until today. Thus didactics is "the theory and practice of learning and teaching". The focus is on the interaction between teachers and learners. Didactics should therefore be a support for mutual interaction between teachers and learners. It is a science of action that is intended to provide teachers with a practice-oriented way of acting. During the 20th century, educationalists such as Erich Weniger, Paul Heimann and especially Wolfgang Klafki (born 1927), who is considered the "father" of didactics, tried to narrow down and define the term in order to finally develop educational theoretical foundations and didactic theories and models.