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This motivation is to solve problems of particular value as a method of learning new skills or reinforce concepts and skills already acquired. Learning mathematics through problem solving can mimic a real life context than mathematics and justifies treating it as an end in itself. Troubleshooting is more than one way to teach and reinforce math skills and helps to meet daily challenges. Individuals cannot function optimally in society, simply by following the knowledge of the rules for a correct answer.

One of the goals of teaching mathematics through problem solving is to encourage students to refine and build their own processes over time, as they share their experiences, to discard some ideas and realize additional opportunities allow. Besides the development of knowledge, students can also gain an understanding of when it is appropriate to apply certain strategies. There is great importance for exploration activities, observation and discovery, and trial and error set.

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