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MA 101Reflective Journal #3Kyndal RoeNational Council of Teachers of Mathematics (NCTM)According to NCTM, "Problem solving means engaging in a task (1) for which the solution method is not known in advance (2). In order to find a solution, students must draw on their knowledge (3), and through this process, they will often develop new mathematical understandings (4). Solving problems is not only a goal of learning mathematics, but also a major means of doing so (5)." (NCTM, 2000, p. 52)Examples 1. In the first explanation it talks about how students should engage in the task they are trying to solve. For a student to really be engaged in the problem it helps to discuss with groups and the whole class. Discussing your reasoning of your process for the solution of the problem out loud gets everyone engaged in your reasoning. While we were working on the problems, discussing our reasoning out loud to the class helped me see why people thought the way they did and even made me switch my thinking sometimes.