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: 5986
DOWNLOAD NOW »
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: 9393
DOWNLOAD NOW »
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.

Mathematik und plausibles Schliessen

Mathematik und plausibles Schliessen

Band 1 Induktion und Analogie in der Mathematik

  • Author: G. Polya
  • Publisher: Springer-Verlag
  • ISBN: 3034891660
  • Category: Juvenile Nonfiction
  • Page: 404
  • View: 8993
DOWNLOAD NOW »

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: 6739
DOWNLOAD NOW »

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: 5146
DOWNLOAD NOW »
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

Pedagogy for Creative Problem Solving

Pedagogy for Creative Problem Solving

  • Author: Peter Merrotsy
  • Publisher: Taylor & Francis
  • ISBN: 1351771736
  • Category: Education
  • Page: 254
  • View: 1715
DOWNLOAD NOW »
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: 2715
DOWNLOAD NOW »
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.

Beweise und Widerlegungen

Beweise und Widerlegungen

Die Logik mathematischer Entdeckungen

  • Author: Imre Lakatos
  • Publisher: Springer-Verlag
  • ISBN: 3663001962
  • Category: Mathematics
  • Page: 163
  • View: 3535
DOWNLOAD NOW »

Schule des Denkens

Schule des Denkens

vom Lösen mathematischer Probleme

  • Author: George Pólya
  • Publisher: N.A
  • ISBN: 9783772006081
  • Category:
  • Page: 266
  • View: 1564
DOWNLOAD NOW »

Was ist Mathematik?

Was ist Mathematik?

  • Author: Richard Courant,Herbert Robbins
  • Publisher: Springer-Verlag
  • ISBN: 3662000539
  • Category: Mathematics
  • Page: N.A
  • View: 8838
DOWNLOAD NOW »
47 brauchen nur den Nenner n so groß zu wählen, daß das Intervall [0, IJn] kleiner wird als das fragliche Intervall [A, B], dann muß mindestens einer der Brüche m/n innerhalb des Intervalls liegen. Also kann es kein noch so kleines Intervall auf der Achse geben, das von rationalen Punkten frei wäre. Es folgt weiterhin, daß es in jedem Intervall unendlich viele rationale Punkte geben muß; denn wenn es nur eine endliche Anzahl gäbe, so könnte das Intervall zwischen zwei beliebigen benachbarten Punkten keine rationalen Punkte enthalten, was, wie wir eben sahen, unmöglich ist. § 2. Inkommensurable Strecken, irrationale Zahlen und der Grenzwertbegriff 1. Einleitung Vergleicht man zwei Strecken a und b hinsichtlich ihrer Größe, so kann es vor kommen, daß a in b genau r-mal enthalten ist, wobei r eine ganze Zahl darstellt. In diesem Fall können wir das Maß der Strecke b durch das von a ausdrücken, indem wir sagen, daß die Länge von b das r-fache der Länge von a ist.

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: 4838
DOWNLOAD NOW »
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: 4042
DOWNLOAD NOW »

Mathematische Rätsel und Spiele

Mathematische Rätsel und Spiele

Denksportaufgaben für kluge Köpfe ; 117 Aufgaben und Lösungen

  • Author: Samuel Loyd
  • Publisher: N.A
  • ISBN: 9783832110499
  • Category: Unterhaltungsmathematik
  • Page: 213
  • View: 6097
DOWNLOAD NOW »

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: 6807
DOWNLOAD NOW »

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: 8409
DOWNLOAD NOW »

Mathematica Scandinavica

Mathematica Scandinavica

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 4111
DOWNLOAD NOW »

The Mathematics Teacher

The Mathematics Teacher

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 7908
DOWNLOAD NOW »

12 Rules For Life

12 Rules For Life

Ordnung und Struktur in einer chaotischen Welt - Dieses Buch verändert Ihr Leben!

  • Author: Jordan B. Peterson
  • Publisher: Goldmann Verlag
  • ISBN: 3641239842
  • Category: Social Science
  • Page: 576
  • View: 4140
DOWNLOAD NOW »
Der Nr.1-Bestseller aus den USA: Wie man in einer von Chaos und Irrsinn regierten Welt bei Verstand bleibt! Wie können wir in der modernen Welt überleben? Jordan B. Peterson beantwortet diese Frage humorvoll, überraschend und informativ. Er erklärt, warum wir Kinder beim Skateboarden alleine lassen sollten, welches grausame Schicksal diejenigen ereilt, die alles allzu schnell kritisieren und warum wir Katzen, die wir auf der Straße antreffen, immer streicheln sollten. Doch was bitte erklärt uns das Nervensystem eines Hummers über unsere Erfolgschancen im Leben? Und warum beteten die alten Ägypter die Fähigkeit zu genauer Beobachtung als höchste Gottheit an? Dr. Peterson diskutiert Begriffe wie Disziplin, Freiheit, Abenteuer und Verantwortung und kondensiert Wahrheit und Weisheit der Welt in 12 praktischen Lebensregeln. »12 Rules For Life« erschüttert die Grundannahmen von moderner Wissenschaft, Glauben und menschlicher Natur. Dieses Buch verändert Ihr Leben garantiert!

Pi Mu Epsilon Journal

Pi Mu Epsilon Journal

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 7355
DOWNLOAD NOW »