The Nature of Algebra Through Observational Logic

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The Nature of Algebra through Observational Logic Willie Stewart Strayer University Abstract The following project uses the game of Guess Your Card. This is a game in which each player draws (without looking) three cards. Each card has a number between one and nine on it. The players then place their cards on their heads so that everyone but the players can see the cards. The object of the game is to guess what cards you have. The first person to do this correctly wins. During the play, each player, in turn, draws a question at random from a stack of questions. The player then answers the question based on the cards that he /she sees (not the player’s cards, which the player cannot see). In this situation, I am playing with three other players, Andy, Belle, and Carol. From seeing the other player’s cards along with additional information answered from the questions, I will figure out what numbers I have on my cards. This paper will summarize the salient facts of the problem, explain the strategy for solving the problem, and present a step-by-step solution of the problem. According to the Merriam-Webster dictionary (2013), mathematics defined is “the science of numbers and their operations, interrelations, combinations, generalizations, and abstractions and of space configurations and their structure, measurement, transformation, and generalizations.” One of the principal reasons for studying mathematics is learning to solve problems and think critically. Such is the case for the numbers game, Guess Your Card, which requires you to figure out what numbers are on the cards you have picked. While playing with three other players, I can see that Andy has the cards one, five, and seven. Belle has the cards five, four, and seven and Carol has the cards two, four, and six. Andy: 1,5,7 Belle: 5,4,7 Carol: 2,4,6 Andy draws the question card, “Do you see two or

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