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SE 016 479 MF-$0.75 HC Not Available from EDRS. PLUS DOCUMENT RESUME ED 096 179 SE 016 479 '"TTLE Multi-Sensory Aids in the Teaching of Mathematics. National Council of .Teachers of Mathematics, Yearbook AB (1945].#. INSTITUTION' National Council of Teachers of Mathematics, Inc., ,Washington, D:C. , , PUB DATE . 45 NOT? 470p .N AVAILABLE FROM National Council o?. Teachers of Mathematics,'Inc., 1906 Azsociation Drive, Reston, Virginia EbiS PRICE MF-$0.75 HC Not Available from EDRS. PLUS POSTAGE DESCRIPTORS *Audiovis*01 Aids; Exhibits; Instructional Films; *Manipulative Materials; Mathematical Models; *Mathematics Education; *Multimedia Instruction; Multisensory Learning; ReferenceNBooks; Slides; Tape Recorders; Visual Aids; *Yearbooki ABSTRACT ' The chapters in this yearbpok describe some of the . experiences the individual authors have had in making and /or ,using multisensory aids in mathematics instruction. A number of different aids are noted to indicate the range of possibilities. Threemore chapters set the stage for the remainder of the book which is divided into the following sections: drawing and design;' demonstrations and exAibits; models a7d devices; instruments and tools; materials for construction of models and devices; and slides, films, three-dimensional projection, and equipment. Ian the appendixa short description of individual models and devices gs.given by content areas. TLS) .43 9: The National Council of Teachers of Mathematics EIGHTEENTH YEARBOOK b34 Multi-Sensory Aids in, the Teaching of Mathematics COMPILED BY THE COMMITTEE. ON MULIENSORY AIDS 43- OF THE NATIONAL COUNCIL. OF TEACHERS OF MATHEMATICS s".. 'I'NI- U 5 DEPARTMENT OR HEALTH 1,f S&I ',BY MICRO'' L oucATION & WELFARE FI14 9NLY 1.1 NATsC.NAL INSTITUTE OF I E DLI: A ?ION 114\1 '11C 0 4 A` BF F 4In Pk° CI In F F I)t 40Y IF .t. (A' 044?2.1.(,'N f WA. 11.1 Ns. K.: , I, , f ti' ,)P! . 1 ,1,I 1.) A ' %AI. I - i 4.'I I ' (14 ' 11 1,1 , 4.. WI1 .q 0/ WV- tt .. I L, f,.%.41 BUREAU 01' PUBLICATIONS EACHERS COLLEGE, COLUMBIA UNIVERSITY NEW YORK, 19 5 1 ID A . Copyright, 1945, by The' National Council of Teachers of Mathethatics, Correspondence relating to and orders for additional copies of 'theEighteenth Yearbook and the earlier r Yearbooks should be addressed to National Council ofTeachers of tathematics 1201 Sixteenth Street, NAV. Washington (1. Second Priming, April. 1946 Third Printing. September. 1947 Fourth Printing.' August, :958 tr Manufat toted m the Utoted Stmt.% of .icro..i , EDITOR'S PREFACE Tuts is the eighteenth of the series of Yearbooksstarted in 1926 by The National Coif:lc:* of Teachersof Mathematics. The titles the preceding Yearbooksate as follows: 1. A Survey of Progress in the Past Twenty-Five Years. 2. Curriculum Problems in 'reaching Mathematics. 3. Selected Topics in the Teaching of Maliematics. 4. Significant Changes and Trends in the T.2aching of Mathematics Throughout the Vorld Since 1910. 5. The Teaching of Geometry. 6. Mati4ematics in Modern Life. 7. The Teaching of Algebra. 8,1 The Teaching of Mothematics'in the Secondary School. 9, Relational and Functional Thinking in Mathematics. 0. The Teaching of Aii:hmetic. 1. The Place of Mathematics in Modern Education. 2. Approximate Computation. 3. The Nature of Proof. 1. The Training of Mathematics Teachers. 5. The Place of Mathematics in Secondary Education. 6. Arithmetic in' General Education. 7. 'A Source Book of Matiumnatical Applications. .It is unfortunate that this Yearbook is late inappearing. but circumstances over which we have had 'no control made it impos- sible to get the Yearbook outon time. We hope that the quality the material and the iNature of the articles will makeup for the 'lateness in theappearance of the volume. Because of possible charges in price in these uncertain times, all prices of materials referred to in this book should hecat chilly verified before such materials are ordered. We do not claim that,this Yearbook contains all the possible teaching aids that may have been suggested, butwe hope that many teachers will find it the source of great help and inspiration. As EditorI wish to expres my personal appreciation to Pro- fessor Ilildebiandt and his committee, who luixe done the main work for this volume, and to The :%.1ational Council of 'cachets of Mathematics for their continued suppot t and advi( e. REvF, 4, 6. Nt THE NATIONAL COUNCIL, OF TEACHERS OF MATHENtA FIGS OFF IcE.R.4 t'resident F. L. WREN, George Peabody College, Nashville, Tenn, First VicePresidentEmm G. OLDS, Carnegie Institute of Technology, Pittsburgh, Pa. Second VicePresidentEptui WtxnsEv, Sanford Junior High School, .Minneapolis' Minn. SeeretatyTreasurerEDWIN W. SCHREIBER, Western Illinois State TeaChers College, Macomb, Ill. ADDITONAL MEMBERS ON THE BOARD OF DIRECTORS A. R.CONGDON,Lincoln, Neb. 1945 One Year INAE.HOLROYD, Kansas State College, Manhattan, Kan. 1945 A.BROWNMILLER, Cleveland, Ohio 9 Hu_nmARDE Blum, Intermediate School, Detroit, Mich. 1946 Two Years H. W. CHARL.SWORTH, East High School, Denver, C010, 1946 Vravt. SCHpLT, Publie Schools, Divisions 1.9, Washington, D.C 1946 E. H. C. Ilitt.ommor, Northwestern University, Evanston, 111 1947 Fhree Years C. N.SIIUSTER,State Teachers College, Trenton, N. j. 1947 Rum v. Svc:mks, Winthrop College, iic,ck Hill, S. C. 1947 EDITORIAL COMMITTEE Editor-inChief and Business :tanager of Tire Mathematics Teacher and the rear- bookWnitAst DAVID REEVE, Teachers College, Colutnbia University, New York City. Associate EditorsVERA SANFORD, State Normal School, Oneonta, N. Y.; W. S. Stait.Aucn, School of Commerce, New York University, New York City. Ihe National Council of Teachers of Mathematics is a national organization of mathematics teachers whose purpose is to: I. Cr-ate and maintain interest in the teaclking of mathematics. 2. Nom the values of mathematics before the educational world. $. 1011) the inelcperienced teacher to oecomeagood teacher. 113p teachers in service to become better teachers. 5. Raise the general leysi-o." instruction in mathematics. Anyone interested in mathematics is eligible to membership in the National Council upon pament of the annual dues of $2.00.:The dues include sul.cription to the tailicial journal of the Council (The Mathematics Teacher). Corres nulence should he addressed to The Mathematics Teacher, 525 West 120th Street,NeW'York 27, N. Y. lI Introduction. xi KEY, GEORGE W., 1100 N. Elwood Ave., . NIELSEN, MILDRED R., 516 Seventh St., Peoria, Ill. Ames, Iowa. KIDD, KENNETHP.,Peabody Teachers PhNNEY, It;J., High School, Newton, College, Nashville, Tenn. Iowa. KITCHENS, NELL, Hickman nigh School, POLLOCK, SAUL, 138 N. Lake St., Loa tolumbia..Mo. Angeles, Ce; KRIEGER, FLORENCE; High School, Rapid PorrEtt, MARY, City Hall, 'Racine, Wis, City, S. D. RAMAN, BLANCHE, LaIlphier High School, KRUSE, W. F., Bell and Howell Company, 'Springfield, Ill. Chicago, Ill. RAMSDELL, F. A., Worcester Flint Cor KUGLER, HARRY, L.,1E. Willow 'Grove poration, Worcester, Mass. Ave., Philadelphia, Pa. RICHARDS, F. S., 2810 Taylor Ave., Ra LANE, Run, StateTeachers College, cine, Wis. Maryville, Mo. ROBINSON, HOWARD E.,High School, 'LARGE, EMMA M., junior High School, Madison, Ohio, Aberdeen, S. D, Rooms, mil'eNse, Winthrop College SETS, LUELLA E., Senior High School, Traini School, Rock Hill, S. C. Winona, Minn. Roc.ens, RY C., Roosevelt Junior High LEONIDA, SISTER M., 415 W. Monroe St. School, estfield, N. J. Decatur, 111d. ROHDE, FLORENCE, Public Schools, Lu LIGHTHALL, LORA, Junior High School, verne, Minn, Fo-t Dodge, Iowa. RossxorF, M. F., John Burroughs School, LLOYD, DANIEL B., Theodore Roosevelt Clayton, Mo. High School, Washington, D. C. RULE, JOHN T., Massachusetts Institute of LOCKE, L. LELAND (deceased). Formerly Technology, 'Cambridge, Mass. at Brooklyn College, Brooklyn, N. Y. SANDE3S, PAUL3.,111, Oakland Rd., LYT1.E, EDITH, High School, Skokie, Ill. Maplewood, N. J. MAINARDI, POMPEY, Newark College of SAVAGE, ADAH, Public Schools, ctfr;..rd, Engineering, Newark, N. J. Me: MALLORY. VIRGIL S., State Teachers Col- SCHAAF, WILLIAM L., Brooklyn College, lege, 'Upper, Montclair, N. J. Brooklyn, N. Y. N1CCANIMAN, CAROL V., McKinley High. SCUFF, RAYMOND R., William C. Bagley School, Washington, D. C. High School, Tahlequah, Okla..' McCitusKEY, MARY0.,SeniorHigh SCHULER, EUC.EDIA, High School, Ameri. School, Fort Dodge, Iowa. cus, Ga. .MESERVE, BRUCE E.,1625 Forest Ave., SCHULD,, E. G., Wisconsin High School, Portland, Me. Madison, Wis.. MESSNER,MADELINE D., 400 Chandler Scnuur, VERYL, Wilson Teachers College. Ave., Rdselle, N. J.,. Washington, D. C. MILLER, A. BROWN, 3295 .Avalon Rd., SEYBOLD, Arno,, High School, Monticello, Shaker Heights, Ohio. Ill. Moose, IA ArruR Univers.ty of Louis SHENTON, WALTERF., The American Ville,ll.c insville. Ky. University, Washington, D. C. Morns, D RIS F. N., 101 W. 72nd St., SIIRADY, C. D., Edwin Gould Foundation New Vol N. Y. for Children, New York, N. Y. Nictun.soN, G. H., Universi, v of Vernon,. SIF TON, EDITH, Public Schools, Seattle, Burlington, Vt. Wash. NICKLE. GEORGE II., Senior High School, SIMONS, ?LAOG.,ProfessorEmeritus, Keokuk, Iowa. Hunicr College, New York, N.Y. Introductiori SITOMER,HARRY, NewUtrecht High Uusvnt, B. R., Wisconsin High School, School, Brooklyn, N. V. Madison, Wis. .4 SMITH, ARTHUR F. JE High School, VAN ENGEN, H., Iowa State Teachers Col. Plainfield, N, J. lege, Cedar Falls, Iowa. Sstrw, 1.voNARD I.., High School, Belli! WATsoN, FLORA MAE,HardifigHigh doe, N. J. School, Charlotte, N."C. 1Vit.t.rstP., High School, Me wEas.m.MARY L., 838 Wilson Ave., Co. maim, N. J. Imam, Ohio. StrisR, firttam F., University Monett. MN :a aunt ,E rim., PublicSchools, taty School, Iowa City, Iowa. Wells, Me.' Sot.ro, Dt.v B., Lincoln School, Fort VIIITMAN, E. A., Carnegie. Institute of Dodge, Iowa. Technology, Pittsburgh, Pa. TAvLoR, (;oRooNM., Vernon L. Da- 1Vitssa-lt, DOUGLAS F.,106 Haven Ave, vey Junior Iligh School, East Orange, Mount Vernon, N. Y. N. J. 1VOODS, EDITH, Okolona High School, TENNvsoN, J. ANNA, Langley Junior High Louisville, kr School, Washingtim, D. G. VYhtAN, CARL E., Audubon Junior High TERRY, HI.
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