FRIDAY, JULY 13, 1962 THE MICHIGAN DAILY PAGE THREE - - -7-- - - - - - - DESCRIPTION, DEDUCTION: Sees Use of Math in Science <'% Mathematics finds two distinct~ applications in the behaviorial sci- ences, Prof. Anatol Rapoport of the Mental Health Research Insti- tute said yesterday in a mathe- matics education l e c t u r e on "Mathematics and the Behavorial Sciences." It provides both quantitative de- scriptions of the events studied by the science and a deductive theo- retical structure to explain the events. The first stages of any science -physical, biological or behav- orial-are primarily qualitative, he pointed out, and therefore do not need the tools of mathematics. Quantitative and Simple Then the science becomes quan- titative and starts using measure- ment, and therefore simple forms of mathematics. The primary need at this step, he noted, is finding quantities to be measured and scales with which to measure them. In physics, this problem was of less importance, because the scales for mass, position, and time meas- urement were relatively easier to find than the useful measureable quantities in the social sciences. Measurement Yields Low After the stage of simple meas- urement comes condensation of large amounts of data into mathe- matical laws which provide con- cise summaries of large amounts of information. In the social sciences, these laws will generally be formulated in statistical form because of the variation in behavior of living or-* To Present Talks About 'Costuming' The speech department is spon- soring two colloquiums on "Cos- tuming" at 1 p.m. and 2:15 p.m. today in the East Conference Rm., Rackham Bldg. Prof. Lucy Barton of the University of Texas will moderate the discussions. Irodnitz Vi In Voice Duw By BARBARA STANLEY The importance of voice changes occuring during adolescence was stressed in an address on "Voice Problems of the Child and the Adolescent" delivered by Dr. Fred- erich S. Brodnitz as part of the Summer Session Conference pre- sented yesterday. Dr. Brodnitz, chairman of the Voice and Speech Clinic at Mt Sinai Hospital in New York City said that little is known about these problems. "We know quite a bit about the mechanics and the psychology of voice disorders, but there are not many statistics on them." Two Categories Voice disorders, Dr. Brodnitz said, were grouped into two cate- gories, organic and functional. The first includes malignancies, while functional disorders are caused by misuse of the voice. He said that one of the more common or- ganic disorders is a hypernasality following the removal of tonsils or adenoids. This hypernasality ac- tually exists before such an opera- tion but it is masked. "I am convinced that these cases ca nbe picked up before the oper- ation, and am in favor of each child seeing a speech therapist be- fore the operation takes place,' Dr. Brodnitz said. Speaking on the problems of adolescence, Dr. Brodnitz said that much too little attention is being given to the change of voice. He referred to this period as "one of the most important landmarks in the development of an individua voice." He suggested that a great many of the disorders incurred during this time are psychogenic in ori- gin; such a disorder is the "in- L Dial m 8-6416 ENDING SATURDAY JOSEPH KAUFMAN PRESENTS OYO OHARISSE, MOIRA SHEARER & ZIZI JEANMAIRE, ROLAND PETIT +anto MAURIE ONE VALIER by ROLAND PETI It's sheer magic! AND ROGERS AND HAMMERSTEIN "OKLAHOMA" SSUNDAY JEAN SOREL IN "LOVE IS A DAY'S WORK' Also "WEE GORDIE" PROF. ANATOL RAPOPORT ... use of mathematics ganisms-as opposed, for instance, to the general predictability of the physical sciences. But there is an even more basic use of mathematics which is just beginning to come into its own in the social sciences, although it has been used for long periods of time in the physical sciences. Derivation by Deduction Mathematics can provide syste- matic models of large areas of a science in only a few basic laws, from which the descriptive laws previously found may be derived by education. In the physical sciences, for in- stance, Prof. Rapoport said, laws such as the conservation of ener- gy are used to deduce descriptive laws relating the temperature, pressure and volume of gases un- der different conditions. I DAILY OFFiC "}o~v,?, "::rt;?:x;,,.; : r; ;,s,;v.": x.:.:;::x,' :.a~a<^ :"}t:eS:%': :" t. .x,:": ::r g };. . y ',...g;A DIA . i uu u W N O WV! 2-6264 811 Feature Starts 1:10 THE SENSATIONAL HIT THAT'S RAISING THE ROOF I "rAn absorbing anzd skillful screen story." -Louis Cook, Detroit Free Press "Powerful adult drama." -Al Weitschat, Detroit News RX DAILY NM lourer MMM910" lunlal Rol- (Continued from Page 2) Linguistics Forum Lecture: Prof. Hen- ry M. Hoenigswald, University of Penn- sylvania, will discuss "The Minor Sound Change Processes" on Thurs., July 12 at 7:30 p.m. in the Rackham Amphi- theater. Tonight through Saturday, 8:00 p.m., Trueblood Aud., Frieze Bldg.: Peter Shaffer's award-winning play, "Five' Finger Exercise," presented by the U-M Players. Tickets on sale at Trueblood' box office 10-8 daily. Faculty Recital: Charles Fisher, pian- ist, will present the piano music of Franz Schubert in a recital on Sun.. July 15, 8a:30 p.m., Aud. A, Angell Hall. He will play Sonate in B-flat major, Op. Post., Twelve "Valses sentimentales," Op..50, and Three Impromptus. His re- cital is open to the public without charge. Placement The following schools have listed teaching vacancies for the school year 1962-1963. Oxford, Mich.-Elem. (1st gr.), Chem/ Phys/Geom., HS Engl., Sp. Corr., Visit. Teach., Jr. HS Type "A." Pontiac, Mich. - HS Girl's PE/Sci. (woman). Port Huron, Mich.-5th grade gifted class. Saugatuck, Mich. - HS Engl., Bus Educ., Band Director. Stambaugh, Mch.-HS Phys/Chem/ Phys. Sqi., Girl's PE (Elem. & HS) Engl., Latin, French. Troy, Mich.-Jr. HS Vocal Mus., H French, Jr. HS Ment. Retard. 4th grade 4th/5th grade, 3rd grade. Vermontville, Mich.-HS Inst. Music Sci/Chem/Phys., Jr. HS Engl/Latin or Fre, or Cpan. Ypsilanti, Mich. (Ypsil. State Hos- pit. Sch.)-Emot. Disturbed. Newhall, Calif. (Wm. S. Hart Union Sch. Dist.)-Jr. HS Engl./SS, Speech/ Drama, Boy's PE, HS Home Ec., Graphic Arts/Photo., Eng/Hist. Ashtabula, O. (Buckeye Schs.) - French, Engl., Girl's PE, Later Elem., Jr. HS Guid. Bryan, . (Williams County Pub Schs.)-HS 5,uid., SS (grades 7 & 8) HS Math (Ass. Bsktbl. Coach), Instr & Vocal Mus. (Grades 1-12), Ind. Arts Speech & Hearing Ther. Cleveland Hts., 0.-SS Coordinator Elem., School Camp Teacher, Engl. Pettisville, O.-Home Ec., Span., 5th grade. Toledo, O. (Adams Bd. of Ed.)-Home Ec., Latin/Engl., Span. Toledo, O. (Ottawa'Hills Sch.)-Gen St. or 6th grade. East Ely, Nev. (White Pine County Schs.)-German/Engl., Comm., Engl., Gen. Sci., Ungraded Handicapped (Ex- ceptional Child.), 7th grade, 1st, 5th grades, Elem. Art. Hawthorne, Nev. (Mineral County Sch Dist.)-HS Latin, Span., Engl., Drive od Auditorium ISE 5, 1.75 ht re riveting . ieatre . . ." nal American ew Changes THREE MODELS: ring Puberty Fair Housing Ordinances Proposed (Continued from Page 1) ka complete mutation." In this case 1) develop an effective ordi- s the larynx grows normally but the nance which will be of real value voice remains relatively high, to a Negro family seeking suitable A Family Problem housing and at the same time not He said that this is very un- develop insurmountable new ten- common in Europe, but that there sions within the community; or it is not unusual to find European 2) work within the framework of boys whose voices become lower present interested groups, stim-" than they would naturally be. This ulate the interest of other groups, is because the European family is and help Negroes find homes on / patriarchal, and the father usual- an individual basis-anticipatingy y ly wants the child to grow up. that state or federal laws ulti- Thus the boy tries to "out-father mately will solve the problem; or father." 3) a combination of (1) and I t The contrary is true in the Unit- (2) ." F ed States. Here it is the mother Three Model Ordinances who tends to dominate the fam- There are three model ordi- ily, and she usually does not want nances designed to meet this goal. 1 z the child to grow up. This can be The most complete and recent was compounded by the child's own introduced June 7 by the NAACP. fear of becoming an adult. The other main one is the HRC- He said that damage can be council committee draft of 1960 1 done during puberty by excessive and its strengthened variant, the FAIR HOUSING-Democratic Councilman Lynn Eley (left) and singing. As evidence of this he Eley ordinance of last November. Mayor Cecil O. Creal take opposing views about the need for a stated that during the 200 years All three cover discrimination in fair housing ordinance. Eley proposes such a measure, but Creal that the Vienna Boys Choir group public and publically assisted sees no particular need for it since, he asserts, "Ann Arbor is a has been in existence, not one boy housing and multiple unit housing broadminded town." from that group has become a containing four or more units._broadmindedtown. famous singer. The NAACP and Eley ordinances cover financial institutions. The All three ordinances take a con- Republican Councilman Wendell NAACP ordinance alone deals with silatory approach in dealing with Hulcher has circulated a memo to To Exam ine the sale of land and discriminatory complaints. All require an in- his fellow Councilmen urging a practices designed to discourage vestigation after a complaint and public vote on a fair housing or- sales to Negroes. consilation effort. When these fail, dinance. Aul nistration Religious organization sponsored the provisions of the three models "Any effective legislation needs housing is exempted under clause diverge, majority support of the public," The Midwest Community College typified by "nothing contained in Non-Specific Provisions he says. Leadership Program, under the this ordinance shall require any The HRC-council committee ver- "I believe this is minority Sup- auspices of the University, Mich- bona fide religious organization to sion does not spell out any specific ported legislation. It should be put igan State and Wayne State Uni- extend the use of its housing fa- provisions for enforcement. to a vote," he declared. versities, is sponsoring two lec- cilities to any person who does The Eley ordinance says the Put To Vote tures today. not subscribe to the religious tenets ae as Hulcher thinks a draft ordi The first, "The Responsibility of of the group" clause found In the to City Council. However, Eley ad- nance should be put up to a l Administration," will be held at 8 NAACP ordinance. mits, if he were revising his draft referendum, but Creal suggests a.m. in the West Conference Rm., Include FHA Mortgages ordinance, he would change this that the whole issue of council Rackham Bldg. "Responsibility of The Eley ordinance defines pub- provision to spell out legal pen- writing such legislation should b the President to the Faculty," the lically assisted housing to include alties of violating an ordinance- put up to a vote. . second speech, will be given at anything financed by FHA mort- $100 fine or 90 days in jail-and Meanwhile, the NAACP and the - noon in Rm. D., of the Union, gages still in force. to place enforcement in the hands Democrats are pressing for action ..:: of the city attorney rather than on this issue. ,." ...:."::>."::.:,; ,"....:.>..::.::,":: ." >:;>. " : :.Wv...sze. r;wS..s:4n.s.;............P es lu io c ll the council. A recent NAACP resolution call ed upon the City Council to take The NAACP ordinance calls for "objective understanding and af- a $10 fine or 30 day jail trm as firmative action" n the HRC's r a last resort measure of carcom medtin IA L BULLETINreomnai. :pliance' Wagner said the fair housin Any ordinance faces tough op- " bet " .: > :.<:: : : : :. : : "<:; " , . . r :;o s itio n ? ;::r e:Bj~ neU~q I :........:. k 1 ' t F ' 4 V ,, t :: t X 7 UNIVERSITY PLAYERS DEPARTMENT OF SPEECH FIVE 8:00 P.M., Trueblo iiER EXERC EXCELLENT SEATING TONIGHT-1.2 Last Performance Tomorrow Nig "Brilliant theatre . . Hypnotic and fascinat "Scenes which a r ing .. Mirror I Simply great th -N.Y. Jour N.Y