Download or read online books in PDF, EPUB and Mobi Format. Click Download or Read Online button to get book now. This site is like a library, Use search box in the widget to get ebook that you want.

Didactics of Mathematics as a Scientific Discipline

Didactics of Mathematics as a Scientific Discipline Author Rolf Biehler
ISBN-10 9780306472046
Release 2006-04-11
Pages 467
Download Link Click Here

Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book, drawn from 10 different countries, go on to identify certain subdisciplines and suggest an overall structure or `topology' of the field. The book is divided into eight sections: (1) Preparing Mathematics for Students; (2) Teacher Education and Research on Teaching; (3) Interaction in the Classroom; (4) Technology and Mathematics Education; (5) Psychology of Mathematical Thinking; (6) Differential Didactics; (7) History and Epistemology of Mathematics and Mathematics Education; (8) Cultural Framing of Teaching and Learning Mathematics. Didactics of Mathematics as a Scientific Discipline is required reading for all researchers into the didactics of mathematics, and contains surveys and a variety of stimulating reflections which make it extremely useful for mathematics educators and teacher trainers interested in the theory of their practice. Future and practising teachers of mathematics will find much to interest them in relation to their daily work, especially as it relates to the teaching of different age groups and ability ranges. The book is also recommended to researchers in neighbouring disciplines, such as mathematics itself, general education, educational psychology and cognitive science.



Mathematics Education as a Research Domain A Search for Identity

Mathematics Education as a Research Domain  A Search for Identity Author Anna Sierpinska
ISBN-10 9789401151948
Release 2013-03-14
Pages 240
Download Link Click Here

No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concepts, producing new teaching materials, and designing teaching units based on 'mathematicians' common sense' (or on logic) have not resulted in a better understanding of mathematics by more students. The failure of such efforts has raised questions suggesting that what was missing at the outset of these proposals, designs, and productions was a more profound knowledge of the phenomena of learning and teaching mathematics in socially established and culturally, politically, and economically justified institutions - namely, schools. Such knowledge cannot be built by mere juxtaposition of theories in disci plines such as psychology, sociology, and mathematics. Psychological theories focus on the individual learner. Theories of sociology of education look at the general laws of curriculum development, the specifics of pedagogic discourse as opposed to scientific discourse in general, the different possible pedagogic rela tions between the teacher and the taught, and other general problems in the inter face between education and society. Mathematics, aside from its theoretical contents, can be looked at from historical and epistemological points of view, clarifying the genetic development of its concepts, methods, and theories. This view can shed some light on the meaning of mathematical concepts and on the difficulties students have in teaching approaches that disregard the genetic development of these concepts.



Mathematics Education and Language

Mathematics Education and Language Author Tony Brown
ISBN-10 9789401007269
Release 2012-12-06
Pages 306
Download Link Click Here

Contemporary thinking on philosophy and the social sciences has primarily focused on the centrality of language in understanding societies and individuals; important developments which have been under-utilised by researchers in mathematics education. In this revised and extended edition this book reaches out to contemporary work in these broader fields, adding new material on how progression in mathematical learning might be variously understood. A new concluding chapter considers how teachers experience the new demands they face.



Cultural Perspectives on the Mathematics Classroom

Cultural Perspectives on the Mathematics Classroom Author Steve Lerman
ISBN-10 9789401711999
Release 2013-04-17
Pages 215
Download Link Click Here

Mathematics teaching and learning have been dominated by a concern for the intellectual readiness of the child, debates over rote learning versus understanding and, recently, mathematical processes and thinking. The gaze into today's mathematics classroom is firmly focused on the individual learner. Recently, however, studies of mathematics in social practices, including the market place and the home, have initiated a shift of focus. Culture has become identified as a key to understanding the basis on which the learner appropriates meaning. The chapters in this timely book attempt to engage with this shift of focus and offer original contributions to the debate about mathematics teaching and learning. They adopt theoretical perspectives while drawing on the classroom as both the source of investigation and the site of potential change and development. The book will be of fundamental interest to lecturers and researchers and to teachers concerned with the classroom as a cultural phenomenon.



Beitrag zum Jahr der Mathematik 2008

Beitrag zum Jahr der Mathematik 2008 Author Hugo Wehrle
ISBN-10 9783638057837
Release 2008-06-03
Pages 174
Download Link Click Here

Scientific Study from the year 2008 in the subject Mathematics - Geometry, , language: English, abstract: Mathematik ist die Liebe zur Weisheit, die Philosophie des Unendlich-Vielfältigen. Daher ist es auch kein Wunder, daß der erste Philosoph, - wie Aristoteles sagte -, auch ein Mathematiker ist, nämlich Thales von Milet (625-547 v.Chr.), der die Sonnenfinsternis vom 28. Mai 585 v. Chr. richtig vorhersagte. Seit über zweieinhalb Jahrtausenden beschäftigt sich also die Menschheit schon mit geometrischen Gebilden, wie Geraden, Dreiecke, Vierecke oder Pyramiden! Unter den alten Geometern finden sich der um 600 v. Chr. geborene, schulbekannte Pythagoras, der eine geheime Bruderschaft gründete; Zenon von Elea (490-430), der mit scharfsinnigen Paradoxien durch reine Überlegung schon der „Quantennatur der Geometrie“ auf die Schliche kam; Platon (427-347), ein Schüler Sokrates, der nur den Ideen eigentliche Realität zusprach, und unsere Sicht der Welt im Höhlengleichnis als nur schattenhaft erkannte; der um 300 v. Chr. in Alexandria lebende Euklid, der schließlich das erste axiomatisch aufgebaute 13-bändige, mathematische Werk verfaßte, nach dessen Geometrie noch heute alle Schüler unterrichtet werden, -nur das Beweisen scheint heute an den Schulen außer Mode gekommen zu sein; Archimedes von Syrakus (285-212), der nicht nur die Kreiszahl π, sonder beispielsweise auch äußerst elegant das Kugelvolumen berechnete; und die vielen, vielen anderen. Alle Gelehrten und Kosmologen beschäftigten sich mit dieser idealisierten Welt der Zahlen und des Raumes, angefangen von Aristarchos von Samos (320-250), der als erster das heliozentrische Weltbild lehrte, nachdem sich die Erde um die Sonne dreht, bis hin zu dem im 2. Jahrhundert nach Christus in Alexandria lebenden Claudius Ptolemäus, dessen geozentrisches Weltbild sich für Jahrhunderte durchsetzen sollte, (- würde sich nicht jede Fliege als Mittelpunkt der Welt betrachten? -), bis Kopernikus, Galilei und Kepler uns endgültig eines besseren belehren sollten. Bald wird wohl die Anzahl der heute auf der Erde lebenden Mathematiker größer sein, als alle einst in den vergangenen Jahrtausenden lebenden bzw. gestorbenen, zusammen genommen! Und sie haben sich alle schon mit Dreiecken beschäftigt! Könnte da noch etwas über das Dreieck unentdeckt geblieben sein? Können Sie sich vorstellen, daß es für das Dreieck noch Formeln gibt, die in keinem Buch und keiner Formelsammlung zu finden sind? Ja, dies ist der Fall, oder kennen Sie etwa die Formel, daß das Produkt der Dreiecksseiten dividiert durch seine Summe (auch Umfang genannt) gleich dem doppelten Produkt seiner beiden Radien des In- und Umkreises, - die sog. Wehrle-Zahl des Dreiecks-, ist? Oder wissen Sie, daß im rechtwinkligen Dreieck der Inkreis-Durchmesser gleich der um die größte Seite (auch Hypotenuse genannt) verminderte Summe der kleineren Seiten (auch Katheten genannt) ist, daß die Summe der am rechten Winkel anliegenden Seiten gleich der Summe der Durchmesser ist? Und daß das halbe Produkt dieser zwei Seiten, -die Dreiecksfläche also-, gleich der Summe der Wehrle-Zahl und dem vierten Teil der Wehrle-Zahl der Differenzen ist: A = w + 1⁄4w*. Dieser letztere „Differenzen-Wehrle“ ist das Quadrat des Durchmessers des Inkreises! Kennen Sie das kleinste, diskrete gleichschenklige Dreieck, oder das kleinste, nicht-rechtwinklige, rationale Dreieck, das aus nur natürlichen Seitenlängen besteht? Wissen Sie, welche Vierecke einen In- und Umkreis haben, oder kennen Sie deren doppelte Radienprodukte? Kennen sie diskrete Kreisvierecke, diskrete Sehnenvierecke ohne Inkreis gar? Wie heißt der dreidimensionale Satz des Pythagoras, oder wissen Sie, welche rechtwinklige Pyramide mit ganzzahligen Katheten den Inkugelradius r=1 hat? Wissen Sie, daß der Inkugelmittelpunkt rechtwinkliger Tetraeder Mi = (r; r; r) mit r = abc / [(ab+ac+bc)+√(a2b2+a2c2+b2c2)] ist; und das Umkugelzentrum Mu = (a/2; b/2; c/2) mit Radius R = 1⁄2√(a2+b2+c2) ist? Und was gilt für das Radienprodukt bei den allgemeinen Pyramiden? Wissen, wie man das Volumen und den Umkugelradius einer Pyramide nur über die Kantenlängen berechnet! Sicherlich kennen Sie auch die Fehringer-Formel für das allgemeine Tetraeder noch nicht!



Proceedings of ICMI JSME Regional Conference on Mathematical Education October 10 14 1983 Tokyo Japan

Proceedings of ICMI JSME Regional Conference on Mathematical Education  October 10 14  1983  Tokyo  Japan Author Japan Society of Mathematical Education
ISBN-10 CORNELL:31924058834809
Release 1984
Pages 512
Download Link Click Here

Proceedings of ICMI JSME Regional Conference on Mathematical Education October 10 14 1983 Tokyo Japan has been writing in one form or another for most of life. You can find so many inspiration from Proceedings of ICMI JSME Regional Conference on Mathematical Education October 10 14 1983 Tokyo Japan also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Proceedings of ICMI JSME Regional Conference on Mathematical Education October 10 14 1983 Tokyo Japan book for free.



Educational Algebra

Educational Algebra Author Eugenio Filloy
ISBN-10 9780387712543
Release 2007-10-12
Pages 294
Download Link Click Here

This book takes a theoretical perspective on the study of school algebra, in which both semiotics and history occur. The Methodological design allows for the interpretation of specific phenomena and the inclusion of evidence not addressed in more general treatments. The book gives priority to "meaning in use" over "formal meaning". These approaches and others of similar nature lead to a focus on competence rather than a user’s activity with mathematical language.



Mathematical Reviews

Mathematical Reviews Author
ISBN-10 UOM:39015038872779
Release 1995
Pages
Download Link Click Here

Mathematical Reviews has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Reviews also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Reviews book for free.



Learning from Computers Mathematics Education and Technology

Learning from Computers  Mathematics Education and Technology Author Christine Keitel-Kreidt
ISBN-10 9783642785429
Release 2012-12-06
Pages 332
Download Link Click Here

The NATO Advanced Research Workshop on Mathematics Education and Technology was held in Villard-de-Lans, France, between May 6 and 11, 1993. Organised on the initiative of the BaCoMET (Basic Components of Mathematics Education for Teachers) group (Christiansen, Howson and Otte 1986; Bishop, Mellin-Olsen and van Dormolen 1991), the workshop formed part of a larger NATO programme on Advanced Educational Technology. Some workshop members had already participated in earlier events in this series and were able to contribute insights from them: similarly some members were to take part in later events. The problematic for the workshop drew attention to important speculative developments in the applications of advanced information technology in mathematics education over the last decade, notably intelligent tutoring, geometric construction, symbolic algebra and statistical analysis. Over the same period, more elementary forms of information technology had started to have a significant influence on teaching approaches and curriculum content: notably arithmetic and graphic calculators; standard computer tools, such as spreadsheets and databases; and computer-assisted learning packages and computer microworlds specially designed for educational purposes.



Journal for Research in Mathematics Education

Journal for Research in Mathematics Education Author
ISBN-10 STANFORD:36105134270003
Release 2011
Pages
Download Link Click Here

Journal for Research in Mathematics Education has been writing in one form or another for most of life. You can find so many inspiration from Journal for Research in Mathematics Education also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Journal for Research in Mathematics Education book for free.



Why Teach Mathematics

Why Teach Mathematics Author H.W. Heymann
ISBN-10 9789401736824
Release 2013-06-29
Pages 263
Download Link Click Here

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 British National Bibliography

The British National Bibliography Author Arthur James Wells
ISBN-10 UOM:39015079755842
Release 1994
Pages
Download Link Click Here

The British National Bibliography has been writing in one form or another for most of life. You can find so many inspiration from The British National Bibliography also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The British National Bibliography book for free.



Subject Guide to Books in Print

Subject Guide to Books in Print Author
ISBN-10 STANFORD:36105025888533
Release 2003
Pages
Download Link Click Here

Subject Guide to Books in Print has been writing in one form or another for most of life. You can find so many inspiration from Subject Guide to Books in Print also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Subject Guide to Books in Print book for free.



The Cumulative Book Index

The Cumulative Book Index Author
ISBN-10 UOM:39015058373781
Release 1995
Pages
Download Link Click Here

The Cumulative Book Index has been writing in one form or another for most of life. You can find so many inspiration from The Cumulative Book Index also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The Cumulative Book Index book for free.



For the Learning of Mathematics

For the Learning of Mathematics Author
ISBN-10 STANFORD:36105113133800
Release 2003
Pages
Download Link Click Here

For the Learning of Mathematics has been writing in one form or another for most of life. You can find so many inspiration from For the Learning of Mathematics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full For the Learning of Mathematics book for free.



Chance Encounters Probability in Education

Chance Encounters  Probability in Education Author Ramesh Kapadia
ISBN-10 9789401135320
Release 2012-12-06
Pages 267
Download Link Click Here

This book has been written to fIll a substantial gap in the current literature in mathemat ical education. Throughout the world, school mathematical curricula have incorporated probability and statistics as new topics. There have been many research papers written on specifIc aspects of teaching, presenting novel and unusual approaches to introducing ideas in the classroom; however, there has been no book giving an overview. Here we have decided to focus on probability, making reference to inferential statistics where appropriate; we have deliberately avoided descriptive statistics as it is a separate area and would have made ideas less coherent and the book excessively long. A general lead has been taken from the fIrst book in this series written by the man who, probably more than everyone else, has established mathematical education as an aca demic discipline. However, in his exposition of didactical phenomenology, Freudenthal does not analyze probability. Thus, in this book, we show how probability is able to organize the world of chance and idealized chance phenomena based on its development and applications. In preparing these chapters we and our co-authors have reflected on our own acquisition of probabilistic ideas, analyzed textbooks, and observed and reflect ed upon the learning processes involved when children and adults struggle to acquire the relevant concepts.



Books in Print 1996 97

Books in Print 1996 97 Author R R Bowker Publishing
ISBN-10 0835237869
Release 1996
Pages
Download Link Click Here

Books in Print 1996 97 has been writing in one form or another for most of life. You can find so many inspiration from Books in Print 1996 97 also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Books in Print 1996 97 book for free.