Vorwissen Als N Tige Voraussetzung Und Potentieller St Rfaktor Beim Mathematischen Modellieren
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Elementary Mathematics From An Advanced Standpoint
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Author : Felix Klein
language : en
Publisher: Cosimo, Inc.
Release Date : 2009-01-01
Elementary Mathematics From An Advanced Standpoint written by Felix Klein and has been published by Cosimo, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-01 with Mathematics categories.
When the mathematician Felix Klein first went to university, he was surprised at just how little what he had learned up to that point was relevant to his new studies. Professors had their own interests, and these they conveyed without regard for the math students of the future that these prospective secondary schoolteachers would one day instruct. Elementary Mathematics from an Advanced Standpoint was written to help remedy that problem. Though highly regarded as one of the finest mathematical minds of his day, Professor Klein took a great deal of interest in guiding teachers and "reducing the gap between the school and the university." Readers will come away impressed at the clarity of Klein's writing, and the ease with which he conveys complex mathematical ideas. Divided into three parts-arithmetic, algebra, and analysis-and covering such topics as complex numbers, real equations, and logarithmic and exponential functions, Klein's classic is essential reading for math instructors and students planning to become math instructors. German mathematician FELIX KLEIN (1849-1925), a great teacher and scientific thinker, significantly advanced the field of mathematical physics and made a number of profound discoveries in the field of geometry. His published works include Elementary Mathematics from an Advanced Standpoint: Geometry and Famous Problems of Elementary Geometry.
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.
Patterns Of Change
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Author : Ladislav Kvasz
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-28
Patterns Of Change written by Ladislav Kvasz 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 2008-10-28 with Mathematics categories.
Kvasz’s book is a contribution to the history and philosophy of mat- matics, or, as one might say, the historical approach to the philosophy of mathematics. This approach is for mathematics what the history and philosophy of science is for science. Yet the historical approach to the philosophy of science appeared much earlier than the historical approach to the philosophy of mathematics. The ?rst signi?cant work in the history and philosophy of science is perhaps William Whewell’s Philosophy of the Inductive Sciences, founded upon their History. This was originally published in 1840, a second, enlarged edition appeared in 1847, and the third edition appeared as three separate works p- lished between 1858 and 1860. Ernst Mach’s The Science of Mech- ics: A Critical and Historical Account of Its Development is certainly a work of history and philosophy of science. It ?rst appeared in 1883, and had six further editions in Mach’s lifetime (1888, 1897, 1901, 1904, 1908, and 1912). Duhem’s Aim and Structure of Physical Theory appeared in 1906 and had a second enlarged edition in 1914. So we can say that history and philosophy of science was a well-established ?eld th th by the end of the 19 and the beginning of the 20 century. By contrast the ?rst signi?cant work in the history and philosophy of mathematics is Lakatos’s Proofs and Refutations, which was p- lished as a series of papers in the years 1963 and 1964.
Kognitive Semantik Cognitive Semantics
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Author : Monika Schwarz
language : en
Publisher: Gunter Narr Verlag
Release Date : 1994
Kognitive Semantik Cognitive Semantics written by Monika Schwarz and has been published by Gunter Narr Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Cognitive grammar categories.
Emotion Feeling Mood
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Author : Malte Brinkmann
language : en
Publisher: Springer Nature
Release Date : 2021-10-06
Emotion Feeling Mood written by Malte Brinkmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-06 with Education categories.
This volume provides systematic, interdisciplinary, and intercultural impulses for a phenomenological pedagogy of emotions, feelings, and moods without subordinating them to the logocentric dualism of emotion and rationality. Starting from foundational and cultural perspectives on pedagogical relations of education, learning, and Bildung, specific emotions in individual studies, as well as different approaches of important representatives of phenomenological research on emotions are presented. The contributions include pedagogical, philosophical, and empirical approaches to feelings, emotions, and moods, highlighting their fundamental importance and productivity for learning, Bildung, and education in different pedagogical institutions and fields.
Plato S Forms Mathematics And Astronomy
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Author : Theokritos Kouremenos
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-05-22
Plato S Forms Mathematics And Astronomy written by Theokritos Kouremenos and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-22 with Literary Criticism categories.
Plato’s view that mathematics paves the way for his philosophy of forms is well known. This book attempts to flesh out the relationship between mathematics and philosophy as Plato conceived them by proposing that in his view, although it is philosophy that came up with the concept of beings, which he calls forms, and highlighted their importance, first to natural philosophy and then to ethics, the things that do qualify as beings are inchoately revealed by mathematics as the raw materials that must be further processed by philosophy (mathematicians, to use Plato’s simile in the Euthedemus, do not invent the theorems they prove but discover beings and, like hunters who must hand over what they catch to chefs if it is going to turn into something useful, they must hand over their discoveries to philosophers). Even those forms that do not bear names of mathematical objects, such as the famous forms of beauty and goodness, are in fact forms of mathematical objects. The first chapter is an attempt to defend this thesis. The second argues that for Plato philosophy’s crucial task of investigating the exfoliation of the forms into the sensible world, including the sphere of human private and public life, is already foreshadowed in one of its branches, astronomy.
Mathematics Education In Different Cultural Traditions A Comparative Study Of East Asia And The West
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Author : Frederick Koon-Shing Leung
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-02
Mathematics Education In Different Cultural Traditions A Comparative Study Of East Asia And The West written by Frederick Koon-Shing Leung 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 2006-08-02 with Education categories.
The idea of the ICMI Study 13 is outlined as follows: Education in any social environment is influenced in many ways by the traditions of these environments. This study brings together leading experts to research and report on mathematics education in a global context. Mathematics education faces a split phenomenon of difference and correspondence. A study attempting a comparison between mathematics education in different traditions will be helpful to understanding this phenomenon.
Technology In Mathematics Teaching
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Author : Gilles Aldon
language : en
Publisher: Springer
Release Date : 2019-07-01
Technology In Mathematics Teaching written by Gilles Aldon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-01 with Education categories.
This book comprises chapters featuring a state of the art of research on digital technology in mathematics education. The chapters are extended versions of a selection of papers from the Proceedings of the 13th International Conference on Technology in Mathematics Teaching (ICTMT-13), which was held in Lyon, France, from July 3rd to 6th. ICTMT-13 gathered together over one hundred participants from twenty countries sharing research and empirical results on the topical issues of technology and its potential to improve mathematics teaching and learning. The chapters are organised into 4 themed parts, namely assessment in mathematics education and technology, which was the main focus of the conference, innovative technology and approaches to mathematics education, teacher education and professional development toward the technology use, and mathematics teaching and learning experiences with technology. In 13 chapters contained in the book, prominent mathematics educators from all over the world present the most recent theoretical and practical advances on these themes This book is of particular interest to researchers, teachers, teacher educators and other actors interested in digital technology in mathematics education.
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.