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Math-GAMES IO1 EN.Pdf
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. -
Custom Game & Puzzle Development by Zillions
CUSTOM GAME & PUZZLE DEVELOPMENT BY ZILLIONS DEVELOPMENT CORPORATION www.zillions-of-games.com CONTACTS Mark Lefler 5740 Sofia Place Dulles, VA 20189-5740 USA [email protected] Jeff Mallett 255 Terrace Drive Boulder Creek, CA 95006 USA [email protected] Please feel free to visit our Website http://www.zillions-of-games.com Zillions Development Corp. EXECUTIVE SUMMARY Add a little fun to your next promotion — online or offline — with custom-made games from Zillions Development. The Zillions game program contains a revolutionary “universal game” engine, allowing it to play nearly any abstract board game or puzzle in the world. What does that mean for you? It means that Zillions Development can create a custom-made game just for you — integrating your own company logo, graphics, colors, etc., within weeks or even days of a request. This game can be downloaded and played offline. Or, if you prefer something more elaborate, Zillions Development can work with you to create a custom, online gaming environment that will be sure to keep your visitors coming back on a regular basis. Zillions Development Corp. CONTENTS DESCRIPTION .........1 FEATURES.............4 PRESS ................6 ABOUT ZILLIONS DEVELOPMENT ........7 LIST OF GAMES.......8 TECHNICAL SPECS ....9 Zillions Development Corp. DESCRIPTION GAMES AND PUZZLES ARE WHAT WE DO Here at Zillions Development, we know a thing or two about creating dynamic gaming environments — whether it's for an online community or a retail gaming market. We're the creators of "Zillions of Games", the first "universal game" package for Windows 95/98/NT/ME. -
Tic-Tac-Toe: Understanding the Minimax Algorithm
Journal of Game Theory 2020, 9(1): 1-7 DOI: 10.5923/j.jgt.20200901.01 Tic-Tac-Toe: Understanding the Minimax Algorithm Shahd H. Alkaraz*, Essam El-Seidy, Neveen S. Morcos Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt Abstract In this paper we deduce a new mathematical technique to define the winning game Tic-Tac-Toe. The results were placed in a 3x3 matrix and initial conversions were performed on the rows to find all possible win states. Programming languages were used to find the matrix to determine the diagonal wins. A simulation algorithm is presented to predict the win, or draw of a game by knowing the first move of a player. The game of Tic-Tac-Toe is simulated by using a Min-max algorithm. Keywords Zaminamina Draft, Games, Combinatorics, Strategies, Decision Theory, Game Theory, Group Theory, Minimax Algorithm be the very basis for kids to embrace mathematical 1. Introduction knowledge and strong logical foundation when clearly defined and modelled with mathematics. It is on these A game is an activity or sport usually involving skill, grounds that this research was conducted to unveil the knowledge, or chance, which follows fixed rules and tries to mathematical concepts behind the game. win according to specific rules and principles guiding it. This type of games is considered one of the It includes indigenous Ghanaian games like, Pampanaa, Pi combinatorial games that should satisfy the following lolo, Alikoto, Kyemper, Adwoa Ata and many others [1,2]. conditions: These Combinatorial (traditional) games, in past times have been highly regarded by the elderly and young people in our 1. -
Application of Combinatorial Techniques to the Ghanaian Board Game Zaminamina Draft Elvis K
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS Vol. 12, No. 1, 2019, 159-175 ISSN 1307-5543 { www.ejpam.com Published by New York Business Global Application of combinatorial techniques to the Ghanaian Board Game Zaminamina Draft Elvis K. Donkoh1,∗, Rebecca Davis2, Emmanuel D.J Owusu-Ansah3, Emmanuel A. Antwi1, Michael Mensah1 1 School of Sciences, Department of Mathematics & Statistics, University of Energy & Natural Resources, Box 214, Sunyani, Ghana 2 Department of Mathematical & Actuarial Science, Box KN1739, Accra, Ghana Pentecost University College, Ghana 3 Department of Mathematics, Kwame Nkrumah University of Science & Technology, Kumasi, Ghana Abstract. Games happen to be a part of our contemporary culture and way of life. Often mathe- matical models of conflict and cooperation between intelligent rational decision-makers are studied in these games. Example is the African board game 'Zaminamina draft' which is often guided by combinatorial strategies and techniques for winning. In this paper we deduce an intelligent mathematical technique for playing a winning game. Two different starting strategies were formu- lated; center starting and edge or vertex starting. The results were distorted into a 3x3 matrix and elementary row operations were performed to establish all possible wins. MatLab was used to distort the matrix to determine the diagonal wins. A program was written using python in artificial intelligence (AI) to help in playing optimally. Key Words and Phrases: Zaminamina draft, games, combinatorics, player, strategies 1. Introduction A game is any activity that involves different players who aim at satisfying their desire to win with set rules and principles guiding it. It include indigenous Ghanaian games like ampe, pampanaa, oware, pempenaa,pi lolo, alikoto, zanzama, sansankroma, kyemper, Adwoa Ata and many others[1]. -
046 – Puzzle Genres — Paper-And-Pencil Puzzles
046 – Puzzle Genres — Paper-and-pencil puzzles This type of games can be played solely with paper and pencils (or other writing implements), usually without erasing. In some board games — particularly, abstract strategy games like Gomoku and Connect Four — a piece, once played, will not be moved or removed from the board. Such games can be played either as board games or as paper-and-pencil games, while many other paper-and-pencil games require the use of writing utensils. Usually, the games are played by two persons. A majority of games in this category are today made for the computer and cell phones as videogames. ● Tic-tac-toe Tic-tac-toe (American English), noughts and crosses (British English) is a paper-and-pencil game for two players — X and O — who take turns marking the spaces in a 3×3 grid. The player who succeeds in placing three of their marks in a horizontal, vertical, or diagonal row is the winner. Tic-tac-toe is most often played by young children — who often have not yet discovered the optimal strategy. ● Connect the dots Also known as dot to dot or join the dots, it is a form of puzzle containing a sequence of numbered dots. When a line is drawn connecting the dots the outline of an object is revealed. The puzzles frequently contain simple line art to enhance the image created or to assist in rendering a complex section of the image. Connect the dots puzzles are generally created for children. The use of numbers can be replaced with letters or other symbols.