SCIENCE 



A WEEKLY JOURNAL DEVOTED TO THE ADVANCEMENT OF SCIENCE, PUBLISHING THfi 



OFFICIAL NOTICES AND PROCEEDINGS OF THE AMERICAN ASSOCIATION 



FOR THE ADVANCEMENT OF SCIENCE 



Feiday, July 3, 1908 



CONTENTS 

 The Teaching of Mathematics: Chables 

 Otteemann I 



The Ideal University Administration: Peo- 



FESSOE WlIXIAM KENT 8 



The International Catalogue of Scientific 

 Literature : Leonaed C. Gunneix 10 



The Indian Institute of Science 12 



The Order of the Contents of Science .... 14 



Scientific Notes and News 14 



University and Educational News 17 



■ Discussion and Correspondence: — 



The American Society of Naturalists: De. 

 H. McE. Knowee. News from Eilauea: 

 Peofessoe C. H. Hitchcock 18 



Scientific Books: — 



Hildebrandt on " Air-ships Past and Pres- 

 ent: De. O. Chanute. Oetman's Labora- 

 tory Exercises in Physical Chemistry: Peo- 

 fessoe W. LeConte Stevens. Mitchell's 

 Mosquito Life: Peofessoe John B. Smith £0 



Scientific Journals and Articles 23 



Notes on Entomology: De. Nathan Banks Hi 



Special Articles: — 

 Regions of Ma<cimum Ionization due to 

 Qamma Radiation: Peofessoe Gael Baeus. 

 A Neio Method of Enumerating Bacteria in 

 Air: Peofessoe C.-E. A. Winslow 26 



Societies and Academies: — 



New York Academy of Sciences, Section of 

 Astronomy, Physics and Chemistry: Peo- 

 fessoe WnxiAM Campbell. The Chemical 

 Society of Washington : J. A. Le Clebo . . 31 



MSS. intended for publication and books, etc., intended for 

 review should be sent to the Editor of Science, Garrison-on- 

 Hudson, N. Y., or during the present summer to Wood's Hole, 

 Mass. 



THE TEACHING OF MATHEMATICS'- 



As mathematical pedagogy is receiving 

 increasingly marked attention in this coun- 

 try, a brief account of the reforms recently 

 proposed by Professor Felix Klein, of Ger- 

 many, may be of general interest.^ 



The three types of German higher schools 

 leading up to the university are the 

 Gymnasium, the Real Gymnasium and the 

 Ober Eeal Schule, corresponding roughly 

 to the classical, Latin scientific and scien- 

 tific courses in American high schools. 

 Until recently, the university could only 

 be entered through the portals of the gym- 

 nasium. This exclusive privilege might be 

 termed the gymnasial monopoly, and even 

 yet the gymnasium is the school of the 

 aristocrat. 



However, as a result of the Berlin Con- 

 ference of 1900 and the emperor's decree 

 of the same year, the three schools were 

 placed on an equal footing and each per- 



'■ Prepared by the author in connection with a 

 course on the History and Teaching of Mathe- 

 matics, given by Professor S. E. Slocum at the 

 University of Cincinnati. For reports prepared 

 by other members of the class see article soon to 

 appear in the Educational Review. 



' " Uber sine zeitgemasse Umgestaltung des 

 mathematischen Unterrichts an den hoheren 

 Schulen," F. Klein. " Bermerkungen im An- 

 schluss an die Sehulkonferenz von 1900," F. Klein. 

 "Hundert Jahre mathematischer Unterricht an 

 den hoheren preussischen Schulen," F. Klein. 

 ■■ Uber das Lehrziel im mathematischen Unter- 

 richt der hoheren Lehranstalten," E. Getting. 

 Collected in " Neue Beitrage zur Frage des mathe- 

 matischen und physikalischen Unterrichts an den 

 Hoheren Schulen," Klein u. Eiecke, Teubner, 1904. 



