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Mathematics For The Imagination

Author: Peter Higgins
Publisher: OUP Oxford
ISBN: 0191500534
Size: 25.57 MB
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Mathematics for the Imagination provides an accessible and entertaining investigation into mathematical problems in the world around us. From world navigation, family trees, and calendars to patterns, tessellations, and number tricks, this informative and fun new book helps you to understand the maths behind real-life questions and rediscover your arithmetical mind. This is a follow-up to the popular Mathematics for the Curious, Peter Higgins's first investigation into real-life mathematical problems. A highly involving book which encourages the reader to enter into the spirit of mathematical exploration.

Mathematics And The Imagination

Author: Edward Kasner
Publisher: Courier Corporation
ISBN: 0486320278
Size: 55.63 MB
Format: PDF, Docs
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With wit and clarity, the authors progress from simple arithmetic to calculus and non-Euclidean geometry. Their subjects: geometry, plane and fancy; puzzles that made mathematical history; tantalizing paradoxes; more. Includes 169 figures.

An Applet For The Teacher

Author: Alan Graham
Publisher:
ISBN: 9781907550003
Size: 67.10 MB
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For many of us, in our own school days, mathematics lessons were pretty boring. Today there is enormous potential for technology to enliven learning and nowhere can its power be harnessed more effectively than in the teaching of mathematics. Over the last

Mathematics Masterclasses

Author: Michael J. Sewell
Publisher: Oxford University Press on Demand
ISBN: 9780198514947
Size: 36.32 MB
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This is a valuable resource of non-syllabus material for mathematics in school education and science teachers at secondary school level, teenagers and parents. It contains written versions of Royal Institution masterclasses on a wide selection of topics in pure and applied mathematics, and very little knowledge is assumed. Topics include chaos theory, meteorology, storage limitations of computers, population growth and decay, and the mechanics of dinosaurs. This book shows that mathematics can be fun!

Geometry And The Imagination

Author: David Hilbert
Publisher: American Mathematical Soc.
ISBN: 0821819984
Size: 48.55 MB
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This remarkable book endures as a true masterpiece of mathematical exposition. The book is overflowing with mathematical ideas, which are always explained clearly and elegantly, and above all, with penetrating insight. It is a joy to read, both for beginners and experienced mathematicians. Geometry and the Imagination is full of interesting facts, many of which you wish you had known before. The book begins with examples of the simplest curves and surfaces, including thread constructions of certain quadrics and other surfaces. The chapter on regular systems of points leads to the crystallographic groups and the regular polyhedra in $\mathbb{R}^3$. In this chapter, they also discuss plane lattices. By considering unit lattices, and throwing in a small amount of number theory when necessary, they effortlessly derive Leibniz's series: $\pi/4 = 1 - 1/3 + 1/5 - 1/7 + - \ldots$. In the section on lattices in three and more dimensions, the authors consider sphere-packing problems, including the famous Kepler problem. One of the most remarkable chapters is ``Projective Configurations''. In a short introductory section, Hilbert and Cohn-Vossen give perhaps the most concise and lucid description of why a general geometer would care about projective geometry and why such an ostensibly plain setup is truly rich in structure and ideas. The chapter on kinematics includes a nice discussion of linkages and the geometry of configurations of points and rods that are connected and, perhaps, constrained in some way. This topic in geometry has become increasingly important in recent times, especially in applications to robotics. This is another example of a simple situation that leads to a rich geometry. It would be hard to overestimate the continuing influence Hilbert-Cohn-Vossen's book has had on mathematicians of this century. It surely belongs in the "pantheon" of great mathematics books.

Anschauliche Geometrie

Author: David Hilbert
Publisher: Springer-Verlag
ISBN: 3662366851
Size: 47.38 MB
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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

The Imagination In Education

Author: Sean Blenkinsop
Publisher: Cambridge Scholars Publishing
ISBN: 1443803707
Size: 27.41 MB
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This collection of essays from scholars in eleven countries, centres upon the theory and practice of the use of imagination in education. By bringing together studies covering a wide range of subject matter we trust that the reader will have the opportunity to appreciate both the diversity within the field and the significance of the topics discussed. We hope too that readers will find connections to their own areas of study. The 13 essays present distinct yet converging points of view, whether it be a discussion of the imagination as a virtue, the use of imagination as a means to improve aboriginal education in Northern Canada, or the description of a museum in Brazil in which the imagination of the child is central to the project. Separately, each of the papers identifies and explores a distinct aspect of Imaginative Education; together, they begin to define the breadth and richness of the field. These essays have been selected from papers presented over a period of several years to research symposiums in imagination and education held every summer in Vancouver, Canada under the auspices of the Imaginative Education Research Group in the Faculty of Education at Simon Fraser University.

Max Horkheimer Theodor W Adorno Dialektik Der Aufkl Rung

Author: Gunnar Hindrichs
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110448769
Size: 36.12 MB
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Horkheimer/Adornos im kalifornischen Exil verfasste Dialektik der Aufklärung untersucht das Scheitern menschlicher Befreiung und die Errichtung neuer Herrschaftsformen. Obgleich ein Schlüsseltext der philosophischen Zeitdiagnose, gab es bislang keinen Kommentar zu ihr. Der hier vorgelegte kooperative Kommentar geht der Dialektik der Aufklärung in zwei Durchgängen nach. Ein erster Durchgang kommentiert die einzelnen Abschnitte des Buches; ein zweiter Durchgang verfolgt Koordinaten seines theoretischen Horizonts (Kant, Hegel, Nietzsche, Freud). Abschließend gelangt die Wirkungsgeschichte des Textes zur Darstellung. Ein Gravitationstext der kritischen Theorie unserer Zeit findet damit erstmals eine kommentierende Auslegung.

Pedagogies Of The Imagination

Author: Timothy Leonard
Publisher: Springer Science & Business Media
ISBN: 1402083505
Size: 75.97 MB
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I have long admired the mythopoetic tradition in curriculum studies. That admiration followed from my experience as a high-school teacher of English in a wealthy suburb of New York City at the end of the 1960s. A “dream” job—I taught four classes of 15–20 students during a nine-period day—in a “dream” suburb (where I could afford to reside only by taking a room in a retired teacher’s house), many of these often Ivy-League-bound students had everything but meaningful lives. This middle-class, Midwestern young teacher was flabbergasted. In one sense, my academic life has been devoted to understanding that searing experience. Matters of meaning seemed paramount in the curriculum field to which Paul Klohr introduced me at Ohio State. Klohr assigned me the work of curriculum theorists such as James B. Macdonald. Like Timothy Leonard (who also studied with Klohr at Ohio State) and Peter Willis, Macdonald (1995) understood that school reform was part of a broader cultural and political crisis in which meaning is but one casualty. In the mythopoetic tradition in curriculum studies, scholars labor to understand this crisis and the conditions for the reconstruction of me- ing in our time, in our schools.