Schoels, John W. Scoville, I. L. Winckler, F. E. Woodruff, Esther M. Venables, E. A. Buck, P. G. Agnew. Three incorrect solutions were received.

Problem 37. Glenn L, Allen, T. M. Blakslee, E. L. Brown, R. S. Pond, S. R. Scholes, I. L. Winckler, Benjamin Elkind, F. E. Woodruff, Esther M. Venables, A. D. Greenlee, H. C. Whitaker.

Problem 38. T. M. Blakslee, E. L. Brown, L. M. Saxton.

Problem 39. T. M. Blakslee, E. L. Brown, I. L. Winckler, R. S. Pond. Total number of solutions, 36.

PROBLEMS FOR SOLUTION,

ALGEBRA.

44. Proposed by W. H. Hays, Columbia, Mo.

A cow is tied to one corner of a house, which is 20' x 30', with a 60 ft. rope. Find the area over which she can graze.

GEOMETRY.

45. Proposed by John W. Scoville, Syracuse, N. Y.

Four spheres, each of radius r, are arranged in a pyramidal pile, each sphere touching the other three. What is the inside surface of a box shaped like a regular tetrahedron, that will just enclose these spheres?

46. Proposed by T. M. Blakslee, Ph.D., Ames, Ia.

Prove by elementary geoemtry that the midpoints of the three diagonals of a complete quadrilateral are collinear.

APPLIED MATHEMATICS.

47. Proposed by Wm. B. Borgers, Grand Rapids, Mich.

A bicyclist coasting down a 6 per cent grade due west finds the acceleration of gravity just counteracted by the wind, producing uniform motion. He then turns 30 degrees north, where the grade becomes 10 per cent. The direction and velocity of the wind being still the same, still produces uniform motion. Find the direction of the wind.

PACIFIC COAST ASSOCIATION OF CHEMISTRY AND

PHYSICS TEACHERS.

The winter meeting of this association will be held the last week in December in connection with the State Teachers' Association at Fresno, Cal. The following program has been prepared:

Mathematics of Elementary Chemistry,

Whitherward in Chemistry?

J. U. Keran, Prin., Fowler Union School.

H. F. Sheldon, Prin. Armijo Union High School. Light by Wave-front Method,

Physics,

A. L. Cavanagh, Los Angeles High School. C. E. Crane, Fresno High School. The officers are, President, A. N. Sheldon, White's Preparatory School, Berkeley; Vice-President, Miss Margaret Scott, Haywards; Secretary-Treasurer, A. G. Vangorder, 2141 Center Street, Berkeley, Cal.

CENTRAL ASSOCIATION OF SCIENCE AND MATHEMATICS TEACHERS.

The sixth annual meeting was held at the University of Chicago November 30 and December 1, 1906.

The general sessions were held in Mandel Hall. At the opening session Friday forenoon the resignation of Charles M. Turton as secretary was read and accepted. After various announcements an address of welcome was given by Professor R. D. Salisbury in behalf of the University. This was followed by papers by Professor Lyman C. Newell, Roston University; subject: "Profit and Loss in Experimental Chemistry" (this paper will be printed in full later), and by Professor William M. Davis, Harvard University; subject: "The Value of Scientific Studies in the Cultivation of Various Mental Faculties."

The afternoon was given to section meetings. The evening was devoted to an informal reception at the Reynolds Club, a dinner at HutchInson Commons and an address by Professor John F. Woodhull, Teachers' College, Columbia University. Subject: "Science for Culture." (This will be printed in the February number of this magazine.)

The annual business meeting was held Saturday morning at 8:30. The secretary reported the most prosperous year in the history of the association, 142 new members having been elected. Two flourishing local centers were organized during the year, at Jacksonville, Ill., and at Des Moines, Iowa (the Central Iowa Association of Science and Mathematics Teachers).

A committee was appointed to consider the advisability of forming a section in Industrial Education and to report at the next meeting. Article X of the constitution was amended by substituting "one dollar and fifty cents" for "one dollar" wherever used in connection with "School Science" and "official organ."

The article relative to membership dues was changed so as to read, "two dollars and fifty cents" instead of "two dollars," this change to apply to all dues paid after July 1, 1907, provided that persons already subscribers to SCHOOL SCIENCE AND MATHEMATICS shall pay only such portion of the dues as belongs to the association and is retained by it. The following amendment was also adopted: That the office of secretary and treasurer be combined and that there be an assistant secretary-treasurer. That the secretary-treasurer give a bond for $1,000, the expense of said bond being paid by the association, said bond to be approved by the executive committee. The term of office of the secretary-treasurer to be three years. The assistant secretary-treasurer to be elected annually. All bills must be approved by the executive committee and signed by the president and the chairman of the physics section before being paid.

St. Louis was made the place of the 1907 meeting.

The following report of the treasurer and auditing committee was read and approved:

Publishers SCHOOL SCIENCE AND MATHEMATICS '06 and '07. . . .

$256.65

For postage, stationery, printing, officers' and committee

The auditing committee desires to report that it has examined the books of the treasurer and finds them correct.

We congratulate the association in having the services of Mr. Parsons in instituting business-like methods for keeping the accounts of the association. We found a very admirable system.

We desire also to commend the report of the treasurer, particularly in regard to the classification and summary of the receipts and expenditures. We recommend that the report be published in SCHOOL SCIENCE AND MATHEMATICs, and that a similar report be required of future treasurers for publication.

W. WHITNEY,

MINNA C. DENTON,

F. T. JONES, Committee.

The following officers were elected: President, C. E. Comstock, Peoria, Ill.; Sec.-Treas., C. W. D. Parsons, 320 Main Street. Evanston, Ill.; Ass't Sec.-Treas., S. A. Douglass, Central High School, St. Louis, Mo.

The report of the committee on the proposed National Federation of Science and Mathematics Teachers Associations was approved. The committee was continued and the members were authorized to act as delegates to the coming meeting in New York. Adjourned.

C. M. TURTON, Secretary.

CHEMISTRY AND PHYSICS SECTIONS.

The chemistry and physics sections held a joint session Friday afternoon in Ryerson Laboratory, at which the following papers were read: "Standards in Science Teaching," by Franklin T. Jones, University School, Cleveland, O. Mr. Jones' paper will be printed in full in a subsequent issue of SCHOOL SCIENCE AND MATHEMATICS. This paper was followed by a most interesting discussion. "Applications of Principles in Physical Science," Professor John F. Woodhull, Teachers' College, Columbia University. Quoted Professor Hall that a "capacity for a quick understanding of machinery" is necessary. Referred to increasing attention to applications in text-books and on programs of meetings of teachers of physics and chemistry. Said we need not fear the imputation of commercialism, but claimed that the only way to have the principles understood was to teach them with reference to their applications. Unless we do this we are little better than book

scientists. Our artificial laboratory experiments will not save us from the charge of being impractical, academic, unable to understand conditions in nature. A number of illustrations were given as to how certain topics in physics and chemistry should be treated. Would like to call it a course in common sense, in constructive imagination, in phenomenology. "Report on Course of Experiments in Physics," Professor C. R. Mann, University of Chicago. Professor Mann, chairman of the Committee on the Physics Syllabus, reported at length for the committee. The substance of the report follows:

The original work of the committee was "to report on matters of interest from the physics section of the National Educational Association and confer with the committee of that body on a physics syllabus, and such other matter as may need attention."

The committee found that the work of the National Educational Association committee did not meet the present needs of the physics teachers, and set before it the task of finding out as nearly as possible what the teachers wanted. The work of the committee along this line has resulted in the sending out of four circulars.

use.

Circular I asked for a vote on a long list of experiments named by the committee, and a statement concerning the justification of their After the sending out of this circular, the members of this committee became associated with a much larger committee of the North Central Association of Colleges and Secondary Schools, whose business it was to define the unit in physics.

This larger committee, realizing that the most lasting results could be accomplished only when the whole country was represented, has invited all important associations interested in this subject to appoint committees to co-operate in the work. More than a dozen associations have complied with the request, and a number have not yet reported. In order to better deal with the broader features of the educational problem, the North Central Association, which had power to add to its membership, invited a number of prominent educators to join that body. The following accepted the invitation: Mr. P. H. Hanus of Harvard, Mr. John Dewey of Columbia, Mr. G. H. Mead of Chicago, and Mr. M. V. O'Shea of Wisconsin.

Circular II reported the returns of Circular I, and also contained some further questions on the methods of conducting laboratory work, the aims of the course, and the uses of associations in general.

The third circular contained, besides the summary of the answers to Circular II, a set of ten theses which were put forth as suggested subjects of discussion.

A fourth circular has just been issued. This contains suggestions as to the definition of the unit and a portion of a new syllabus. The definition of the unit in this circular contains many new features. Perhaps the most important is that it allows the teacher greater freedom in the conduct of his work than any hitherto printed. The arrangement of the syllabus has been worked out after a careful study of many American syllabi and of those recently adopted in France and Germany.