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DOCUMENT RESUME ED 108 965 SE 019 466 'AUTHOR Smith, Seaton E., Jr.; Backman, Carl A., Ed. TITLE Games and Puzzles for Elementary and Middle School Mathematics. Readings from the ARITHMETIC TEACHER. INSTITUTION National Council of Teachers of,,Mathematics, Inc., Washington, D.C. t PUB DATE 75 1, NOTE 287p. AVAILABLE FROM National Council of Teachers of Matheiatics, Inc., ------ 1906 Association Drive,, Reston, Virginia 22091 , 1 EDRS PRICE MP-40.76 PLUS POSTAGE. HC Not Available from EDRS.,. DEStRIPTORS Activity learning; Educational tames; Eleikentary' Education; *Elementary School Mathematics; *games; *Instruction; laboratory Procedures; *Learnihg Activities; *Kathematics Education; Middle Schools; StudentDevelopedMaterials; Teacher Developed Material's 4 N ABSTRACT . ''Ttilis,_,bakcontains ,s105 articles dealing with games for use in the el -1.1tary or middle school matkematics classroom.. All the articles orig nall ppeared in the "Arithmetic Teacher" between 1956 and 1914. IniiiitXTIis volume the papers are arranged in nine categories'(1) using games and puzzles,(2) whole,numbers, (3) numeration,(4) integers,*(5) :rational numbers, (6) number theory and patterns,(7) geometry and measurement, (8)reasonihg and logic, and (9),multipurpote games and puzzles. While some,of the games are aimed at review or practice on basic skills others were designed with multiple,objecti'Ves in mind. There is a great variety'sin the forms of the games; board games, crossword -type' puzzle=s, paper and pencil games, manipulative puzzles,for individual solution, and many others are included. Some of the games were developed by students; many others were designed by teachers. (SD) *********************************************************************** Documents acquired WERIC include many informal unpublished * materials not available from other sources. ERIC makes every effort * * to obtain the best copy available. nevertheless, items of marginal * * reproducibility are often encountereCand this affects the quality * * of the microfiche and hardcopy reproductions ERIC makes available * via the ERIC Document Reproduction Service (EDRS). EDRS is not * responsible for the quality of the original document. Reproductions * * supplied by EDRS are the best that can be made from the original. * *********************************************************************** U S DEPARTMENT OF HEALTH, EOUCATION &WELFARE G &-' NATIONAL INSTITUTE OF ames Pu<zies EOUCATION THIS DOCUMENT HAS BEEN REPRO DUCED EXACTLY AS RECEIVED FROM THE PERSON OR ORGANIZATION ORIGIN ATING IT POINTS OF VIEW OR OPINIONS ' STATED DO NOT NECESSARILY REPRE ' efor SENT OFFICIAL NATIONAL INSTITUTE OF EDUCATION POSITION OR POLICY ,,1 'Elementary ale fiddle School atirmatics PERMiSS.AN 70 REPRODUCE THIS COPYRIGHTED MATERIAL BY MICRO FICHE ONLY HAS BEEN GRANTED BY TO ERIC AND ORGANIZATIONS OPERAT ING UNDER AGREEMENTS WITH THE NA TIONAL INSTITUTE OfEDUCATION FURTHER RFPROOUCTION OUTSIDE THE ERIC SYSTEM REOUIRES PERMIS SION Or THE COPYRIGHT OWNER " Games and Puzzles for Elementary and Middle Sehool Mathematics Readings from the Arithmetic Teacher edited by SEATON E. ,SMITH, JR. CARL A. BACK MAN Faculty of Elementary Education The University of WestFlorida Pensacola, Florida 1 i National Council of Teachers of Mathematics Copyright .© 1075 by THE NATIONAL couNciE OF TEACHERS OF mAuEmATIcs. 1906 Association Drive. Reston, Virginia :14.1091 All rights reserred LibraryofConaressCataloging m Publication Data: Main entry under.title: Games and puzzles for elementary and middle school mathematics. 1. Mathematics--Study and teaching (Elemen- tary)--Addresses, essays, lectures. 2. Mathe- maticsStudy and teaching (Secondary)- - Addresses, essays, lectures. 3. Mathematical recreations--Addresses, essays, lectures. T. Smith, Seaton E. II. Backman, Carl A. III. The Arithmetic teacher. 'QA135.5.G26 510'.7'8 75-16349 Printed in the United StatesofAmerica 1 Contents Introduction 1 1. Using Games and Puzzles in Mathematics Instruction 3 Commercial Games for the Arithmetic Class Donovan A Johnson 5 March 1958 The Role of Games, Punks, and Riddles in Elementary Mathematics Dora Dohler 7 November 1963 Fostering Enthusiasm through Child-created Games Sarah R. Golden 10 February 1970 Mathematics Games in the Classroom Donald R. Kerr. Jr. 15 March 1974 Sparking Interest in the Mathematics Classroom Donald L. Bradfield 19 it- March 1970 3 Payoff in Increased Instructional Time and Enrichment Activities Robert E Rea and Jat.,mes French 23 December 1972 \, 2. Whole Numbers, 29 Games for the Early Grades Edwina Deans 31 --- February 1966 ---- Creative Drill with Pictures Richard Crouse and Elir.abeth Rinehart 33 April 1973 Secret Number Sentence William L. Swart 36, Fehruary 1969 Making Drill More Interesting W. IiPatterson;Jr. 38 February 1974. Go Shopping! Problem-solving Activities for the Primary Grades with Provisions for Individualisation Sylvia Grans 41 November 1970 They All Add Up ,. Al.Jane Heckman 43 April 1974 Mastering the Basic Facts with Dice Howard Y Goman 46 May 1973 Let's Play Computer Elaine V. Bartel 48 March 1974 1 Multi-bet Arthur K. Milo 50 December 1973 Arithmetic Games ClydeA. Dille). and Walter E. Rucker 52 February 1972 uIII k - t V ----- CONTENTS . TIAVitch's Best Game C. Winston Smith. Jr. 54 December 1966 A Game for Reviewing Basic Facts of Arithmetic , Edward E. Arnsdorf 56 November 1972 "Contig": A Game to Practice and Sharpen . Skills and Facts inthe Four Fundamental 58 , Operations ,:s Frank W. Broadbent May 1972 Cardematics 1Using Playing Cards as Reinforcers and Motivators in Basic Operations Seymour Metzner and Richard M. Sharp 61 May 1974 Green Chimneys Poker T. Ristorcelli 64 May 1974 \ Diffy Herbert Wills 65 October 1971 Magic TrianglesPractice in Skills and Thinking Donald L. Zalewski 69 October 1974 Easy Construction of Magic Squares for Classroom Use John Cappon, Sr. 73 February 1965 1 3. Numeration 79 A Place-Value Game fo First Gradersa, Teacher-made Device _- Irene R. MacRae 80 November 1957 ,Plano a Number-Place Game Robert C. Calm 82 May 1968 The Game of Five Harold J. Shurlo w, 84 May 1963 From Second Base to Third Base Michael Alfonso. Richard Baker. November 1973 and Paul Hartung 86 A Game Introduction to the Binary Numeration System John Niman 89 December 1971 Tantaliling Ternary Ernest R. Ranucci 91 December 1968 4. Integers 97 Integer "Football" Virginia C. Demchik 98 October 1973 Subtraction of IntegersDiscovered 'through a Game Esther Milne 100 February 1969 I j CONTENTS V Climb the Ladder Albert H. Mauthe 102 May 1969 Play Shufflebbard with Negative Numbers Charlotte Frank 105 May 1969 Disguised Practice for MbIttplication and Addition of Directed Numbers Esther Milne 108 May 1969 A Student-constructed Game for Drill with Integers Merle Mae Carillon. Doris Homan, November 1972 and Barbara Stone 110' Grisly Grids William G. Mehl and David W. Mehl 113 May 1969 Editorial Feedback Mary Helen Bean 116 . December 1970 1 t 5. Rational Numbers 119 A Game of Fractions Charlotte W. Junge 121 October 1966 Crazy Fractions: An Equivalence Game Earnest Carlisle 122 April 1973 Fracto Marie Molinoski 123 April 1974 The Conversion Game Beth Ellen Lazerick 124 January 1971 "Fradecent" a game Using Equivalent Fractions, Decimals, and Percents Charles Armstrong 126 March 1972 An Adventure in Division Lois Stephens 128 May 1968 Introduction to Ratio and Proportion Roland L. Brousseau, Thomas A. Brown, February 1969 and Peter J. Johnson 131 Make a Wholea Game Using Simple Fractions Joann Rode 133 February 1971 I A Game with Fraction Numbers Richard Thomas Zytkowski 135 January 1970 6. Number Theory and Patterns 137 Fun Can Be Mathematics Audrey Kopp and Robert Hamada 139 November 1969 Bang, Buzz, Buzz-Bang, and Prime Ernest E. Allen 141 October 1969 . ) Vi CONTENTS Prime: A Drill to the Recognition of Prime and Composite Numbers Gregory Holdall / February 1969 The Factor Game J. B. Harbin and D. S. Martin November 1973 Five "Nontrivial" NuMber Games Terre! Trotter. Jr. 148 November 1972 Magic Squares: Extensions into Mathematics Daiyo Sawada .151 March 1974 "Interest Getters" Karl G. Zahn 157 April 1968 Just for Fun . J. D Caldwell / 160 May 1968 7. 'Geometry and Measurement 161 Don't Miss the Train Corinna Pother 163 February 1973 Procedures for Designing Your Own Metric Games for Pupil Involvement Cecil R. Trueblood and Michael S:abo 167 May 1974 Geo-Gin Janis A. Berman 172 April 1974 Paper Folding and Cutting a Set of Tangram Pieces Steven S. Dickoff 174 April 1971 A Game with Shapes Da sy Gogan' 177 April 1969 An Example of Informal Geometry: Mirror Cards Marion Walter 179 October 1966 Popsicle Sticks and Flying Polygons Charles Lund 184 October 1970 The Try-Angle Puzzle George Janicki 185 November 1956 A Pythagorean Puzzle Gary D. Hall 186 January 19/2 Tic-Tac-Toea Mathematical Game for Gr4es 4 through 9 Robert A. Timmons 189 Os.tober 1967 Hide-a-Region N > 2 Can Play Jean S. Overholser 192 October 1969 Car:esian Coordinates and Battleship William R. Bell 194 May 1974 Holiday Plot-Dots Gary A. Deatsman 195 February 1974 ;J CONTENTS vii Stick Puzzle Anonymous 197 October 1959 A Game of Squares George Janicki 198 November 1956 Cross-Figure Puzzle, Measures George Janwki 198 February 1956 8. Reasoning and Logic 199 Rainy-Day Games Robert C. Gessel. Carolyn Johnson. April 1972 Marty Boren. and Charles Smith 201 N u- Tic -Tac -Toe Harry D. Ruderman 203 November 1965 Computtrs Teach Math Judy Ackerman 205 May 1968 KALAHan Ancient Game of Mathematical Skill John B. Haggerty 207 May 1964 A Project for the Low-Budget Mathematics LabOratory: The Game of Kalah Randall L. Brill 212 December 1974 Drill SOme Fun into Your Mathematics Class Marie Masse 215 Ma y 1974 Jupiter Horse Race Elinor J. Writ: 217 Janpary 1973 A Coin Trick Anonymous 219 March 1956 Paper, Pencil, and Book Henry Lulli 219 Dectber 1973 9. Multipurpose Games and Puzzles 221 Active Gaines: An Approach to Teaching Mathematical Skills to the Educable Mentally Retarded George R. Taylor and Susan T. Watkins 222 December 1974 More Games for the Early Grades Edwina beans 226 March 1966 A Deck of Cards, a Bunch of Kids, and Thou Peter K.
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