Game Boards for Various Strategy Games
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1 Appendix Game Boards for Various Strategy Games This chapter will provide you with the game boards where needed. Feel free to copy a game board, enlarge it if necessary, and play the game. Make extra copies of the game board for the game you wish to play. Play it several times to develop a winning strategy. Game 2.2. Triangular tic-tac-toe. 93
2 94 Problem-Solving Ability in Mathematics Game 2.3. Achi.
3 Game Boards for Various Strategy Games 95 Game 2.4. Four-in-a-row.
4 96 Problem-Solving Ability in Mathematics Game 2.5. Pyramid tic-tac-toe.
5 Game Boards for Various Strategy Games O A O O B C Game 2.6. Tac-tix. O D
6 98 Problem-Solving Ability in Mathematics Game 2.7. Put them down tic-tac-toe.
7 Game Boards for Various Strategy Games Game 2.8. Circle tic-tac-toe
8 100 Problem-Solving Ability in Mathematics Game 2.9. Circle tic-tac-toe (simplified)
9 Game Boards for Various Strategy Games 101 Game 3.4. Tromino cover up.
10 102 Problem-Solving Ability in Mathematics Game 3.5. Pathways.
11 Game Boards for Various Strategy Games 103 Game 3.6. Hex.
12 104 Problem-Solving Ability in Mathematics A Game 3.7. Sprouts. B C
13 Game Boards for Various Strategy Games 105 Game 3.9. Loop-de-loop.
14 106 Problem-Solving Ability in Mathematics Game 4.1. Nine-Man s-morris.
15 Game Boards for Various Strategy Games 107 Game 4.6. Lau kata kati.
16 108 Problem-Solving Ability in Mathematics Game 4.7. Pretwa.
17 Game Boards for Various Strategy Games 109 Game 4.8. Kaooa.
18 110 Problem-Solving Ability in Mathematics Game 5.1. Taxman.
19 Game Boards for Various Strategy Games 111 Game 5.4. Solitaire.
20 112 Problem-Solving Ability in Mathematics Game 5.5. Peg game.
21 Game Boards for Various Strategy Games 113 Game 5.8. Adugo.
22 114 Problem-Solving Ability in Mathematics Game 5.9. Awithlaknannai.
23 Game Boards for Various Strategy Games 115 Game Domino direction cover-up game board.
24 This page intentionally left blank
25 A Achi, game of, game board, 94 goal, 12 origin, 11 rules, sample simulation, 12 suggestions and strategies for, 72 Adugo, game of game board, 113 goal, 62 rules, sample simulation, 63 starting position for, 62 suggestions and strategies for, 89 wolves and tigers, Al-Qurna, Egypt, 11 Awithlaknannai, game of, 63 game board, 114 goal, 64 origin, 63 rules, sample simulation, 64 starting position for, 63 suggestions and strategies for, 90 Index B Battleship, game of goal, 56 hit and miss, rules, 55 sample simulation, 56 suggestions and strategies for, typical starting position, 55 Blocking games, C Champion, Jr., William Julius, 40 Checkers, game of, 59 goal, 60 rules, 59 sample simulation, 60 starting position for, 60 suggestions and strategies for, 89 Checkers on a wheel. see Pretwa Circle tic-tac-toe, game of, 18 game board, 18, 99 goal, 19 rules, sample circle,
26 118 Index sample simulation, 19 simpler circle, 21 simplified, 20 game board, 21, 100 goal, 20 rules, 20 sample simulation, 21 suggestions and strategies for, 75 wining positions, 19 Confucius, 4 Conway, John H., 28 Crows and ravens. see Pretwa D Domino cover up, game of, 25 goal, 25 rules, 25 sample simulation, 25 suggestions and strategies for, 77 Domino direction cover-up, game of, blocking opponent, 91 game board, 115 goal, 65 horizontal vs vertically placed domino, rules, 65 sample simulation, 65 suggestions and strategies for, 90 winning strategy, 91 Dominoes, game of, beginning of typical domino game, 69 domino direction cover up game board after two moves, 66 dots and pips, 66 goal, 69 horizontal vs vertically placed domino, origin, 65 pot, 67 rules, sample moves to start a domino game, 68 sample simulation, set of 28, 67 two possibilities, 70 Dot boxing. see squares, game of Dots and boxes. see squares, game of F Factor game. see taxman, game of 5 5, game of, goal, 61 rules, 61 sample simulation, 61 suggestions and strategies for, 89 Four-in-a-row, game of, 13 bottom row of four-in-a-row playing surface, 73 game board, 95 goal, 13 rules, sample simulation, 13 sequence of moves in four-in-arow, 14 strategy for, 73 suggestions and strategies for, G Games requiring ongoing change of strategies, suggestions and strategies for selected, 71 H Hare and hounds, game of goal, 39
27 Index 119 rules, 39 sample simulation, 39 suggestions and strategies for, 83 Hein, Piet, 28 Hex, game of, 28 game board, 29, 103 goal, 29 rules, 28 sample simulation, 29 suggestions and strategies for, K Kalah, game of, 40 game board in starting position, 40 goal, 41 rules, sample simulation, 41 suggestions and strategies for, 83 Kaooa, game of, 47 board, 48 dropping or moving, 48 game board, 109 rules of game, 48 sample simulation of game, 49 suggestions and strategies for, 85 Krulik, Stephen, xii L Lau kata kati, game of, 44 game board, 107 goal, 45 rules, sample simulation, 45 starting position on lau kata kati game board, 44 suggestions and strategies for, 84 Line-up-nim, game of, 33 goal, 34 rules, 33 sample moves, 34 sample simulation of, starting position for, 34 suggestions and strategies for, Loop-de-loop, game of, 35 first three moves, 36 game board, 105 goal, 36 rules, 35 sample simulation, 36 suggestions and strategies for, 81 typical array of dots for, 35 winning position for, 81 Loser s tic-tac-toe, game of, 23 goal, 24 rules, 23 sample simulation, 10 suggestions and strategies for, M Miscellaneous strategy games, N Nash, John, 28 Nim, game of, 23 goal of, 23 rules of, 23 sample simulation of, 24 suggestions and strategies for, 76 Nine Men s Morris, game of, 37 game board, 106 goal of game, 38 origin, 37 phase one, rules of game, 37 38
28 120 Index sample simulation of game, suggestions and strategies for, 82 Noughts and Crosses. see Tic-tac-toe board O OZO, 42 goal of game, 43 rules of game, sample simulation of game, suggestions and strategies for, 84 P Paterson, Michael S., 29 Pathways, game of, 27 game board, 27, 102 goal of, 28 rules of, sample simulation of, 28 suggestions and strategies for, 78 Peg, game of, 58 game board, 112 goal of, 58 rules of, 58 sample simulation, starting position for, 58 suggestions and strategies for, 88 Pigs in a Pen. see squares, game of Posamentier, Alfred S., ix Pretwa, game board, 108 goal of, 47 moves and capture, 46 rules of, sample simulation of, 47 starting position on pretwa game board, 46 suggestions and strategies for, 85 Problem solving heuristic skill, 2 vs. strategy games winning, 2 3 Put them down tic-tac-toe, game of, 17 game board, 98 goal of, 16 rules of, 16 sample simulation of, suggestions and strategies for, Pyramid tic-tac-toe, game of, 14 game board for pyramid tic-tac-toe, 29 goal of, 14 rules of, 14 sample simulation of, 14 R Resolve problem situations, ability to, 1 Reverse nim, game of, 24 goals, 24 rules, 24 sample simulation, 24 suggestions and strategies for, 76 S Smart Dots. see squares, game of Solitaire, game of, 56 game board, 111 goal, 57 rules, 56 sample simulation, 57 starting position for, 57 suggestions and strategies for, 88 Split- em-up, game of, 41 goal, 42
29 Index 121 rules, 42 sample simulation, 42 suggestions and strategies for, Sprouts, game of, 29 game board, 104 goal, 31 possible moves in, 30 rules, sample simulation, starting, 30 suggestions and strategies for, Squares, game of, 53 brief game on a 3 3 dot board, 87 goal of, 54 rules of, sample simulation, 54 suggestions and strategies for, 86 Strategy games finding and creating, 3 problem solving vs., 2 3 time management, 2 winning, game of, 2 T Tac-tix, game of game board, 97 goal of, 15 rules of, 15 sample simulation of, 16 starting position for, 16 strategic position for, 74 suggestions and strategies for, 74 Taxman, game of, 51 game board, 110 goal, 52 rules, 51 sample simulation, starting array for, 52 suggestions and strategies for, Tic-tac-toe, game of, see also triangular tic-tac-toe board, 4 change in game board, 6 change in rule to winning, 5 goal, 10 losing, 9 opportunity to utilize mathematical skills, 6 rules, 9 sample simulation, 10 strategy to winning in, 4 5 Time management, strategy games, 2 Triangular tic-tac-toe, game of, 10 game board, 10, 93 goal, 11 rules, 11 sample simulation, 11 suggestions and strategies for, 72 Tromino cover up, game of, 25 game board, 26, 101 goal, 26 rules, 26 sample simulation, 27 suggestions and strategies for, 77 tromino shapes, 26 Two-person strategy game, 2 Y Yih. see Tic-tac-toe board
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