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		<title>Mathematics Education and Early Abstract Art - Versionsgeschichte</title>
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		<title>Gbachelier: Die Seite wurde neu angelegt: „  == Reference == Stephen Luecking: Mathematics Education and Early Abstract Art. In: Bridges 2013. Pages 35–42   == DOI ==  == Abstract == As a grou…“</title>
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		<summary type="html">&lt;p&gt;Die Seite wurde neu angelegt: „  == Reference == Stephen Luecking: &lt;a href=&quot;/index.php?title=Mathematics_Education_and_Early_Abstract_Art&quot; title=&quot;Mathematics Education and Early Abstract Art&quot;&gt;Mathematics Education and Early Abstract Art&lt;/a&gt;. In: &lt;a href=&quot;/index.php?title=Bridges_2013&quot; title=&quot;Bridges 2013&quot;&gt;Bridges 2013&lt;/a&gt;. Pages 35–42   == DOI ==  == Abstract == As a grou…“&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Neue Seite&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
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== Reference ==&lt;br /&gt;
Stephen Luecking: [[Mathematics Education and Early Abstract Art]]. In: [[Bridges 2013]]. Pages 35–42 &lt;br /&gt;
&lt;br /&gt;
== DOI ==&lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
As a group, the artists educated near the turn of the 19th and 20th centuries possessed greater mathematical&lt;br /&gt;
knowledge than expected of artists today, especially regarding constructive skills in Euclidean geometry.&lt;br /&gt;
Educational theory of the time stressed such skills for students in general, who needed these to enter the&lt;br /&gt;
workplace of the time. Mathematics teaching then emphasized the use of manipulatives, i.e., visual and&lt;br /&gt;
interactive aids thought to better fix the student’s acquisition of mathematical skills. This visual training in&lt;br /&gt;
mathematics significantly affected the early development of abstraction in art. This paper presents examples&lt;br /&gt;
of this visual mathematics education and samples its effects on the development of abstract art in the first&lt;br /&gt;
decades of the 20th century.&lt;br /&gt;
&lt;br /&gt;
== Extended Abstract ==&lt;br /&gt;
&lt;br /&gt;
== Bibtex == &lt;br /&gt;
&lt;br /&gt;
== Used References ==&lt;br /&gt;
[1] O. Byrne, The First Six Books of the Elements of Euclid, William Pickering, London, 1847. Available&lt;br /&gt;
at http://www.sunsite.ubc.ca/DigitalMathArchive/Euclid/byrne.html.&lt;br /&gt;
&lt;br /&gt;
[2] M. Droste, Bauhaus 1919-1933, Bauhaus Archiv Museum für Gestaltung, Berlin, 1990.&lt;br /&gt;
&lt;br /&gt;
[3] A. Dürer, Unterweisung der Messung mit dem Zirkel und Richtscheit, Nuremburg, 1526.&lt;br /&gt;
&lt;br /&gt;
[4] T. H. Eagles, Constructive Geometry of Plane Curves, MacMillan and Company, London, 1885.&lt;br /&gt;
&lt;br /&gt;
[5] F. Froebel (W. N. Hailmann, Translator), The Education of Man, Dover Publications, Mineola, NY, 2005.&lt;br /&gt;
&lt;br /&gt;
[6] Froebel Web, Influence of Friedrich Froebel on Frank Lloyd Wright, 1999-2000. Available at&lt;br /&gt;
http://www.geocities.com/froebelweb/web2000.html.&lt;br /&gt;
&lt;br /&gt;
[7] Getty Museum, The Collections (website), The J. Paul Getty Trust, 2000. Available at&lt;br /&gt;
http://www.getty.edu/art/collections/objects/o53247.html.&lt;br /&gt;
&lt;br /&gt;
[8] M. Gough, In the Laboratory of Constructivism: Karl Ioganson&amp;#039;s Cold Structures, October,&lt;br /&gt;
Vol. 84. (Spring, 1998), pp. 90-117&lt;br /&gt;
&lt;br /&gt;
[9] W. Kandinsky, From Point and Line to Plane, Solomon Guggenheim Foundation, (H.&lt;br /&gt;
Dearstyne and H. Rebay, translators) New York, 1947. Republished by Dover, New York, 1979.&lt;br /&gt;
Originally published as Punkt und Linie zu Fläche, Bauhaus, Dessau, 1926.&lt;br /&gt;
&lt;br /&gt;
[10] P. Kidwell, Slates, Sliderules and Software - Teaching Math In America, Smithsonian Institution,&lt;br /&gt;
2002. Available at http://americanhistory.si.edu/teachingmath/html/resources.htm.&lt;br /&gt;
&lt;br /&gt;
[11] C. Lodder, The VKhUTEMAS and the Bauhaus in The Avant-Garde Frontier: Russia Meets the West&lt;br /&gt;
1910-1930, University Press of Florida, Gainesville, 1992.&lt;br /&gt;
&lt;br /&gt;
[12] S. Luecking, A Man and His Square: Kasimir Malevich and the Visualization of the Fourth&lt;br /&gt;
Dimension, Journal of Mathematics and the Arts, Vol.4, No. 2, June 2010&lt;br /&gt;
&lt;br /&gt;
[13] A. Miller, Insights of Genius: Imagery and Creativity in Science and Art , The MIT Press,&lt;br /&gt;
Cambridge, MA, 2000.&lt;br /&gt;
&lt;br /&gt;
[14] W. Mueller, Mathematical Wunderkammern, American Mathematics Monthly, November, 2001.&lt;br /&gt;
Available at http://www.wmueller.com/home/papers/wund.html.&lt;br /&gt;
&lt;br /&gt;
[15] A. Rodchenko, “Slogans” of the Workshop for the Study of Painting in State Art Colleges in Art in&lt;br /&gt;
Theory 1900-2000, C. Harrison and P. Wood, eds., Blackwell Publishing, Oxford, UK, 2003.&lt;br /&gt;
&lt;br /&gt;
[16] W.W. Ross, Mensuration Taught Objectively, with Lessons on Form, published by the author,&lt;br /&gt;
Fremont, OH, 1891.&lt;br /&gt;
&lt;br /&gt;
[17] M. Rowell, ew Insights into Soviet Constructivism: Painting, Constructions, Production Art in Art&lt;br /&gt;
of the Avant-Garde in Russia: Selections from the George Costakis Collection, A.K. Rudenstine&lt;br /&gt;
cataloger, Simon R. Guggenheim Foundation, New York, 1981&lt;br /&gt;
&lt;br /&gt;
[18] K. Wellhousen, J. E. Kieff, A Constructivist Approach to Block Play in Early Childhood, Delmar,&lt;br /&gt;
lifton Park, NY, 2000.&lt;br /&gt;
&lt;br /&gt;
[19] E. Wiebe, Paradise of Childhood: A Practical Guide to Kindergartners, edited by Milton&lt;br /&gt;
Bradley, Springfield, MA, 1907.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
=== Full Text === &lt;br /&gt;
http://archive.bridgesmathart.org/2013/bridges2013-35.pdf &lt;br /&gt;
&lt;br /&gt;
[[intern file]]&lt;br /&gt;
&lt;br /&gt;
=== Sonstige Links ===&lt;br /&gt;
http://archive.bridgesmathart.org/2013/bridges2013-35.html&lt;/div&gt;</summary>
		<author><name>Gbachelier</name></author>	</entry>

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