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Math-GAMES Compendium GAMES AND MATHEMATICS IN EDUCATION FOR ADULTS COMPENDIUMS, GUIDELINES AND COURSES FOR NUMERACY LEARNING METHODS BASED ON GAMES ENGLISH ERASMUS+ PROJECT NO.: 2015-1-DE02-KA204-002260 2015 - 2018 www.math-games.eu ISBN 978-3-89697-800-4 1 The complete output of the project Math GAMES consists of the here present Compendium and a Guidebook, a Teacher Training Course and Seminar and an Evaluation Report, mostly translated into nine European languages. You can download all from the website www.math-games.eu ©2018 Erasmus+ Math-GAMES Project No. 2015-1-DE02-KA204-002260 Disclaimer: "The European Commission support for the production of this publication does not constitute an endorsement of the contents which reflects the views only of the authors, and the Commission cannot be held responsible for any use which may be made of the information contained therein." This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License. ISBN 978-3-89697-800-4 2 PRELIMINARY REMARKS CONTRIBUTION FOR THE PREPARATION OF THIS COMPENDIUM The Guidebook is the outcome of the collaborative work of all the Partners for the development of the European Erasmus+ Math-GAMES Project, namely the following: 1. Volkshochschule Schrobenhausen e. V., Co-ordinating Organization, Germany (Roland Schneidt, Christl Schneidt, Heinrich Hausknecht, Benno Bickel, Renate Ament, Inge Spielberger, Jill Franz, Siegfried Franz), reponsible for the elaboration of the games 1.1 to 1.8 and 10.1. to 10.3 2. KRUG Art Movement, Kardzhali, Bulgaria (Radost Nikolaeva-Cohen, Galina Dimova, Deyana Kostova, Ivana Gacheva, Emil Robert), reponsible for the elaboration of the games 2.1 to 2.3 3. Cyprus Mathematical Society, Nicosia, Cyprus (Gregory Makrides, Andreas Skotinos, Andri Charalambous), reponsible for the elaboration of the games 3.1 to 3.3 4. Association Connexion Roumanie, Paris, France (Catalina Voican, Cyrille Ring, Robert Ostrowski, Oana Voican, Jean H. Ring), reponsible for the elaboration of the games 4.1 to 4.3 5. Agentur Kultur e.V., München, Germany (Dr. Jürgen Halberstadt, Klaus Müller, Mareike Heusch, Annegret Rönnpag, Dr. Dagmar Haury), reponsible for the elaboration of the games 5.1 and 5.2 6. 2nd Gymnasium of Messini, Greece (Thodoris Zevgitis, Evgenia Lazaraki, Vasiliki Mintza, Despoina Dimoiliopoulou), reponsible for the elaboration of the games 6.1 to 6.3 7. Istituto Comprensivo Cena, Cerveteri, Italy (Domelita Di Maggio, Laura Timpano, Maria Carmela Termini, Daniela Montefiori, Eleonora Bracaglia (video), Giordano Di Lucia (picture)), reponsible for the elaboration of the games 7.1 to 7.3 8. Asociatia Femeilor Jurnaliste din Romania "Ariadna", Bucuresti, Romania (Georgeta Adam, Ioan Adam, Agripina Grigore, Dana Macovei, Rodica Anghel), reponsible for the elaboration of the games 8.1 to 8.3 9. FPA Beniassent, Cocentaina, Spain (Cristina Llorens Berenguer, José A. Gutiérrez Gutiérrez, Marta Vizcaíno Sanchís, Anna I. Francés Díaz, Ana M. Cerver Olcina, Jaume Llopis Carbonell, Montserrat Patiño Benavent, Anna Micó Tormos, Amparo Sirera Ribes, M. Gema Perea Hurtado), reponsible for the elaboration of the games 9.1 to 9.3 3 Preamble ............................................................................................................................... 6 Prologue ................................................................................................................................ 7 1.1 Nine Men’s Morris (Mill) .................................................................................................. 9 1.2 Checkers (Draughts) ....................................................................................................... 15 1.3 Damath .......................................................................................................................... 22 1.4 Tangram ......................................................................................................................... 27 1.5 Sea Battle (Battleship) ................................................................................................... 31 1.6 Connect Four (Captains’s mistress)................................................................................ 35 1.7 Ten Dice Games ............................................................................................................. 38 1.8 Domino .......................................................................................................................... 44 2.1 Skambalove .................................................................................................................... 48 2.2 Не се сърди, човече - Do Not Get Angry, Man (Ludo) .................................................. 53 2.3 Combination Nine .......................................................................................................... 58 3.1 Blackjack ........................................................................................................................ 62 3.2 Math-Scrabble ............................................................................................................... 68 3.3 Monopoly ...................................................................................................................... 75 4.1 Petanque........................................................................................................................ 82 4.2 Tic Tac Toe ..................................................................................................................... 88 4.3 Rock-Paper-Scissors ....................................................................................................... 93 5.1 Mensch Ärgere Dich nicht! (Ludo) ................................................................................. 98 5.2 Seven Steps (Siebenschritt) ......................................................................................... 105 6.1 Backgammon ............................................................................................................... 111 6.2 Chess ........................................................................................................................... 119 6.3 Calculator Hopscotch ................................................................................................... 125 7.1 Magic Square ............................................................................................................... 128 7.2 Four Seasons ................................................................................................................ 136 7.3 Steal the Pile ................................................................................................................ 143 8.1 The Crow’s Feet (String Figure) .................................................................................... 148 8.2 Skipping Rope .............................................................................................................. 150 8.3 Hora (Romanian Round Dance) ................................................................................... 153 9.1 Fifteen Game ............................................................................................................... 161 9.2 Seven and a Half .......................................................................................................... 166 9.3 Nim Game .................................................................................................................... 171 10.1 Okey (Rummikub) ...................................................................................................... 177 10.2 Hopscotch (Seksek) .................................................................................................... 182 10.3 Sudoku ....................................................................................................................... 187 Epilogue Digital Amnesia and Mathematical Games ......................................................... 192 Available Material in the Math-GAMES Project ................................................................. 196 4 CONTENT IN PICTURES 1.1 Nine men’s 3.2 Math 7.2 Four Seasons morris (Mill) Scrabble (Board Game) (Board Game) (Board Game) 1.2 Checkers 3.3 Monopoly 7.3 Steal the Pile (Dame) (Board Game) (Card Game) (Board Game) 1.3 Damath 4.1 Petanque 8.1 Crows Feet (Math Checkers) (Outside Game) (Busting Game) (Board Game) 1.4 Tangram 4.2 Ticktacktoe 8.2 Skipping Rope (Puzzle) (Paper-Pencil (Outside Game) Game) 1.5 Sea Battle 4.3 Rock-Paper - 8.3 HORA (Paper-Pencil Game) Scissors (Romanian (Everywhere Game) Dance) 1.6 Connect Four 5.1 Mensch 9.1 Fifteen-Game (Board Game) ärgere Dich nicht! (Board Game) (Board Game) 1.7 Ten simple 5.2 Seven Steps 9.2 Seven and Half dice games (German Dance) (Card Game) 1.8 Domino 6.1 Back- 9.3 NIM Game gammon (Game with Matches) (Board Game) 2.1 Skambalove 6.2 Chess 10.1 Okey (Marble game) (Board Game) (Rummikub) (Board Game) 2.2 Do not 6.3 Calculator 10.2 Hopscotch get angry, man! Hopscotch (Outside Game) (Board Game) (Outside Game) 2.3 Combination 7.1 Magic Square 10.3 Sudoku Nine (Paper-Pencil (Paper-Pencil (Board Game) Game) Game) 3.1 Black Jack (Card Game) Link to the special Math-GAMES YouTube Channel: https://www.youtube.com/channel/UCvuYRVDPN WRNO5SwQiRre4g 5 PREAMBLE Using games to develop numeracy Games can help learners to practice matching, counting and computational skills such as doubling, addition, subtraction and tables. Some games combine these skills with strategy, and this can help