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ASSOCIATION OF MIDDLE STATES AND MARYLAND 433 1st. The division of the body into three regions may be clearly brought out. 2nd. The jointed character of the leg is clearly defined^ In this con- nection a study may be made of the mode of walking. 3rd. The veined character of the insect wing is easily shown. 4th. The feeding habits of the fly may be studied and the structure of its feeding organs. 5th. The compound eyes and antennge may be studied, and the fly’s senses’of vision, touch and smell tested. 6th. A careful study will reveal individual differences: between various flies. There is quite an opportunity to test the sensitiveness of the fly, but these experiments are not adapted for younger pupils. 7th. The development of the fly is rapid and may be easily watched. 8th. The maggot illustrates adaptations to surroundings. 9th. The change from larva to pupa furnishes an instructive lesson. 10th. The hibernation in the adult state is a necessity from its life history. The bee was suggested as another insect which might be studied with profit and interest. On account of the lateness of the hour the paper by Mr. A. T. Seymour on "What the Association May Do for Science Teaching," was omitted. For the evening, the New Jersey State Microscopic Society arranged a special program for the’benefit of the members of the Science Teachers Association. - The next meeting of the Association will be held in the spring at Princeton University. GILBERT H. TEAFTON, Secretary. ASSOCIATION OF TEACHERS OF MATHEMATICS IN THE MIDDLE STATES AND MARYLAND. The eighth meeting of the Association was held in Teachers College, New York City, Saturday, April 6, 1907. Fifty new members joined the Association; Official announcement was made of the organization of two new. sec- tions. The Pittsburg Section was organized January 25 under the following officers: President, John J. Quinn, Scottdale, Pa.; Secretary and Treasurer, J. BueII Snyder, Perryopolis, Pa.; Executive Committee, F. G. Masters, John H. Bortz, and J. H. Eisenhauer. The section has held two profitable meetings and the work .of the Association is exciting a keen interest among the progressive teachers of Western Pennsylvania. The Rochester Section was organized February 23d, 1907. An account of the initial meeting was given in the April number of SCHOOL SCIENCE AND MATHEMATICS. The officers of the Section are President, Arthur S. Gale, Rochester; Vice-President, Charles C. Grove, Clinton; Secretary, Fred L. Lamson, Rochester; Executive Committee, Edward D. Graber, Geneseo, and William Betz, Rochester. Meetings will be held on the second Saturday of October, February, and April. In addition to the reports from the newly organized sections, the older sections of the Association at Philadelphia and at New York presented reports showing energetic and helpful work.

ASSOCIATION OF TEACHERS OF MATHEMATICS IN THE MIDDLE STATES AND MARYLAND

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Page 1: ASSOCIATION OF TEACHERS OF MATHEMATICS IN THE MIDDLE STATES AND MARYLAND

ASSOCIATION OF MIDDLE STATES AND MARYLAND 433

1st. The division of the body into three regions may be clearlybrought out.

2nd. The jointed character of the leg is clearly defined^ In this con-nection a study may be made of the mode of walking.

3rd. The veined character of the insect wing is easily shown.4th. The feeding habits of the fly may be studied and the structure

of its feeding organs.5th. The compound eyes and antennge may be studied, and the fly’s

senses’of vision, touch and smell tested.6th. A careful study will reveal individual differences: between

various flies. There is quite an opportunity to test the sensitiveness ofthe fly, but these experiments are not adapted for younger pupils.

7th. The development of the fly is rapid and may be easily watched.8th. The maggot illustrates adaptations to surroundings.

9th. The change from larva to pupa furnishes an instructive lesson.10th. The hibernation in the adult state is a necessity from its life

history. The bee was suggested as another insect which might bestudied with profit and interest.On account of the lateness of the hour the paper by Mr. A. T. Seymour

on "What the Association May Do for Science Teaching," was omitted.For the evening, the New Jersey State Microscopic Society arranged a

special program for the’benefit of the members of the Science TeachersAssociation. -

The next meeting of the Association will be held in the spring atPrinceton University. GILBERT H. TEAFTON, Secretary.

ASSOCIATION OF TEACHERS OF MATHEMATICS IN THEMIDDLE STATES AND MARYLAND.

The eighth meeting of the Association was held in Teachers College,New York City, Saturday, April 6, 1907. Fifty new members joinedthe Association;

Official announcement was made of the organization of two new. sec-tions. The Pittsburg Section was organized January 25 under thefollowing officers: President, John J. Quinn, Scottdale, Pa.; Secretaryand Treasurer, J. BueII Snyder, Perryopolis, Pa.; Executive Committee,F. G. Masters, John H. Bortz, and J. H. Eisenhauer. The section hasheld two profitable meetings and the work .of the Association is excitinga keen interest among the progressive teachers of Western Pennsylvania.The Rochester Section was organized February 23d, 1907. An account

of the initial meeting was given in the April number of SCHOOL SCIENCEAND MATHEMATICS.The officers of the Section are President, Arthur S. Gale, Rochester;

Vice-President, Charles C. Grove, Clinton; Secretary, Fred L. Lamson,Rochester; Executive Committee, Edward D. Graber, Geneseo, andWilliam Betz, Rochester. Meetings will be held on the second Saturdayof October, February, and April.

In addition to the reports from the newly organized sections, the oldersections of the Association at Philadelphia and at New York presentedreports showing energetic and helpful work.

Page 2: ASSOCIATION OF TEACHERS OF MATHEMATICS IN THE MIDDLE STATES AND MARYLAND

434 SCHOOL SCIENCE AND MATHEMATICS

After minor matters of business were transacted., the following paperswere read:

1. Some Problems in the Teaching of Elementary Mathematics,George H. Hallett, University of Pennsylvania.

2. Zero and Infinity: William H. Maltbie, The Woman’s College,Baltimore.

3. The History of Computation (Illustrated) :. David Eugene Smith,Teachers College, New York.

4. The Early Mathematical Instruments in Modern High SchoolTeaching: William E. Stark, Ethical Culture School, New York.

Professor Hallett found, the best remedy for the weakness and faultsof secondary and college students in mathematics to be a more thoroughtraining of the teacher in both pure and applied mathematics and inthe art of teaching.

Dr. Maltbie called attention to many inaccurate and inconsistentstatements in current text-books in the treatment of Zero, Infinity andLimits.The illustrated talks of Dr. David Eugene Smith and Principal

William E. Stark were of great practical interest. Dr. Smith brieflytraced the history of counting, and his slides were views of ancienttablets, manuscripts and text-books. Views of mechanical devices usedin Eastern Countries for the simple calculations of buying and sellingwere also shown and contrasted with them were the modern machinesin common use in the counting rooms of banks and large corporations.Dr. Smith suggested the question, "Must not the school room in the nearfuture contain such appliances among its equipment?"Mr. Stark’s slides, like those of Dr. Smith, were chiefly reproductions

of illustrations found in old manuscripts and early text-books. Theysuggested how the ancient forms of astrolabe, quadrants and cross-staves could be used to impress the principles of Geometry in thesolution of practical problems. Mr. Stark also exhibited models ofsuch instruments constructed by his pupils. J. T. RORER, Secretary.

MATHEMATICAL NOTE.The State Teachers Association of Wisconsin has just published as

Bulletin of Information, No. 14, a committee report on The Content ofAlgebra for High Schools. The Bulletin is issued under the authorityof State Superintendent C. P. Gary. The committee that drew thereport consisted of the following persons: Jos. V. Collins, Ch.; C. F.Viebahn; E. B. Skinner; Richard E. Krug; H. L. Terry.The Bulletin makes a neat little pamphlet of 11 pages. The sugges-

tions and. recommendations of the committee are included under thecaptions:

(1) What to omit from the First-Year Course;(2) What to insert in the First-Year Course; and(3) In the Advanced Course.The report is profitable reading to any interested in these three topics.

It is assumed that the office of the State Superintendent of Public In-struction, Madison, Wis., will supply any who desire to have the report.