Search Results for "mathematical-discovery-on-understanding-learning-and-teaching-problem-solving-volume-ii-2"

Mathematical Discovery

Mathematical Discovery

  • Author: George Polya
  • Publisher: John Wiley & Sons Incorporated
  • ISBN: N.A
  • Category: Mathematics
  • Page: 220
  • View: 359
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Combining standard Volumes I and II into one soft cover edition, this helpful book explains how to solve mathematical problems in a clear, step-by-step progression. It shows how to think about a problem, how to look at special cases, and how to devise an effective strategy to attack and solve the problem. Covers arithemetic, algebra, geometry, and some elementary combinatorics. Includes an updated bibliography and newly expanded index.

Philosophical Dimensions in Mathematics Education

Philosophical Dimensions in Mathematics Education

  • Author: Karen Francois,Jean Paul Van Bendegem
  • Publisher: Springer Science & Business Media
  • ISBN: 0387715754
  • Category: Education
  • Page: 242
  • View: 2832
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This book brings together diverse recent developments exploring the philosophy of mathematics in education. The unique combination of ethnomathematics, philosophy, history, education, statistics and mathematics offers a variety of different perspectives from which existing boundaries in mathematics education can be extended. The ten chapters in this book offer a balance between philosophy of and philosophy in mathematics education. Attention is paid to the implementation of a philosophy of mathematics within the mathematics curriculum.

Essays on the Foundations of Mathematics and Logic

Essays on the Foundations of Mathematics and Logic

  • Author: Giandomenico Sica
  • Publisher: Polimetrica s.a.s.
  • ISBN: 8876990143
  • Category: Mathematics
  • Page: 351
  • View: 4362
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International Handbook of Research in History, Philosophy and Science Teaching

International Handbook of Research in History, Philosophy and Science Teaching

  • Author: Michael R. Matthews
  • Publisher: Springer
  • ISBN: 9400776543
  • Category: Education
  • Page: 2532
  • View: 1582
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This inaugural handbook documents the distinctive research field that utilizes history and philosophy in investigation of theoretical, curricular and pedagogical issues in the teaching of science and mathematics. It is contributed to by 130 researchers from 30 countries; it provides a logically structured, fully referenced guide to the ways in which science and mathematics education is, informed by the history and philosophy of these disciplines, as well as by the philosophy of education more generally. The first handbook to cover the field, it lays down a much-needed marker of progress to date and provides a platform for informed and coherent future analysis and research of the subject. The publication comes at a time of heightened worldwide concern over the standard of science and mathematics education, attended by fierce debate over how best to reform curricula and enliven student engagement in the subjects. There is a growing recognition among educators and policy makers that the learning of science must dovetail with learning about science; this handbook is uniquely positioned as a locus for the discussion. The handbook features sections on pedagogical, theoretical, national, and biographical research, setting the literature of each tradition in its historical context. It reminds readers at a crucial juncture that there has been a long and rich tradition of historical and philosophical engagements with science and mathematics teaching, and that lessons can be learnt from these engagements for the resolution of current theoretical, curricular and pedagogical questions that face teachers and administrators. Science educators will be grateful for this unique, encyclopaedic handbook, Gerald Holton, Physics Department, Harvard University This handbook gathers the fruits of over thirty years’ research by a growing international and cosmopolitan community Fabio Bevilacqua, Physics Department, University of Pavia

Beweise und Widerlegungen

Beweise und Widerlegungen

Die Logik mathematischer Entdeckungen

  • Author: Imre Lakatos
  • Publisher: Springer-Verlag
  • ISBN: 3663001962
  • Category: Mathematics
  • Page: 163
  • View: 4946
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Schule des Denkens

Schule des Denkens

vom Lösen mathematischer Probleme

  • Author: George Pólya
  • Publisher: N.A
  • ISBN: 9783772006081
  • Category:
  • Page: 266
  • View: 1681
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Pedagogy for Creative Problem Solving

Pedagogy for Creative Problem Solving

  • Author: Peter Merrotsy
  • Publisher: Taylor & Francis
  • ISBN: 1351771736
  • Category: Education
  • Page: 254
  • View: 1328
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This book provides students and practising teachers with a solid, research-based framework for understanding creative problem solving and its related pedagogy. Practical and accessible, it equips readers with the knowledge and skills to approach their own solutions to the creative problem of teaching for creative problem solving. First providing a firm grounding in the history of problem solving, the nature of a problem, and the history of creativity and its conceptualisation, the book then critically examines current educational practices, such as creativity and problem solving models and common classroom teaching strategies. This is followed by a detailed analysis of key pedagogical ideas important for creative problem solving: creativity and cognition, creative problem solving environments, and self regulated learning. Finally, the ideas debated and developed are drawn together to form a solid foundation for teaching for creative problem solving, and presented in a model called Middle C. Middle C is an evidence-based model of pedagogy for creative problem solving. It comprises 14 elements, each of which is necessary for quality teaching that will provide students with the knowledge, skills, structures and support to express their creative potential. As well as emphasis on the importance of self regulated learning, a new interpretation of Pólya's heuristic is presented.

Theories of Mathematics Education

Theories of Mathematics Education

Seeking New Frontiers

  • Author: Bharath Sriraman,Lyn English
  • Publisher: Springer Science & Business Media
  • ISBN: 3642007422
  • Category: Education
  • Page: 668
  • View: 2053
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Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.

Mathematik und Plausibles Schließen

Mathematik und Plausibles Schließen

Band 2: Typen und Strukturen plausibler Folgerung

  • Author: G. Polya
  • Publisher: Birkhäuser
  • ISBN: 9783764307158
  • Category: Science
  • Page: 326
  • View: 5433
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10 in denen meine Beobachtungen meine Schlusse zu stutzen scheinen. Aber ich achte das Urteil des Lesers und will ihn nicht zwingen oder auf irgendeine unsaubere Weise dazu bringen, meine Schlusse anzu nehmen. Naturlich erheben die hier gebotenen Ansichten keinen Anspruch auf Endgultigkeit. Ich konnte in der Tat eine Reihe von Stellen ange ben, wo ich klar empfinde, dass eine grossere oder kleinere Verbesse rung am Platz ware. Ich glaube jedoch, dass die Hauptrichtung richtig ist, und ich hoffe, dass die Ausfuhrungen und vor allem die Beispiele in diesem Werk dazu beitragen mogen, die -Doppelnatun und die -komplementaren Aspekte) plausiblen, insbesondere induktiven Schliessens, zu erhellen, das zuweilen als -objektiv) und zuweilen als -subjektiv) erscheint. Stanford University Georg P6lya Mai 1953 VORWORT ZUR ZWEITEN AUFLAGE Die vorliegende zweite Auflage wurde erweitert durch einen An hang. Dieser enthalt einen Aufsatz -Heuristische Schlussweisen in der Zahlentheorie), entnommen dem American Mathematical Monthly mit der Genehmigung des herausgebenden Vereins, und zusatzliche Bemerkungen und Aufgaben zu verschiedenen Kapiteln. Herzlichen Dank Fraulein Dr. A. Roth fur die gewissenhafte Uber setzung und Frau H. Bretscher fur freundliche Hilfe."

Was ist Mathematik?

Was ist Mathematik?

  • Author: Richard Courant,Herbert Robbins
  • Publisher: Springer-Verlag
  • ISBN: 3642137016
  • Category: Mathematics
  • Page: 400
  • View: 3773
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"Was ist Mathematik?" lädt jeden ein, das Reich der Mathematik zu betreten, der neugierig genug ist, sich auf ein Abenteuer einzulassen. Das Buch richtet sich an Leser jeden Alters und jeder Vorbildung. Gymnasiallehrer erhalten eine Fülle von Beispielen, Studenten bietet es Orientierung, und Dozenten werden sich an den Feinheiten der Darstellung zweier Meister ihres Faches erfreuen.

Catalog of Copyright Entries. Third Series

Catalog of Copyright Entries. Third Series

1965: January-June

  • Author: Library of Congress. Copyright Office
  • Publisher: Copyright Office, Library of Congress
  • ISBN: N.A
  • Category: Copyright
  • Page: 1394
  • View: 1153
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Includes Part 1, Number 1: Books and Pamphlets, Including Serials and Contributions to Periodicals (January - June)

Teachers' Use of a Problem-solving Oriented Sixth-grade Mathematics Unit : Two Case Studies

Teachers' Use of a Problem-solving Oriented Sixth-grade Mathematics Unit : Two Case Studies

  • Author: Anthony Dane Rickard
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: 520
  • View: 6088
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Journal for research in mathematics education

Journal for research in mathematics education

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 7594
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Problem-solving Studies in Mathematics

Problem-solving Studies in Mathematics

  • Author: John Grover Harvey,Thomas A. Romberg
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: 287
  • View: 3523
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Mathematica Scandinavica

Mathematica Scandinavica

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 3538
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The American Mathematical Monthly

The American Mathematical Monthly

Devoted to the Interests of Collegiate Mathematics

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematicians
  • Page: N.A
  • View: 2970
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The Mathematics Teacher

The Mathematics Teacher

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 2323
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Pi Mu Epsilon Journal

Pi Mu Epsilon Journal

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 4154
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The Arithmetic Teacher

The Arithmetic Teacher

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Arithmetic
  • Page: N.A
  • View: 7762
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Praxis der Mathematik in der Schule

Praxis der Mathematik in der Schule

PM.

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 2025
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