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Abstract

The crossroads of logic and mathematics breeds critically thinking students that have the confidence and independent working skills to tackle any problem they come across. In this artifact, several applications of logic to common problems have been applied in a way that would allow teachers to use the examples in their classrooms in a wide range of grade levels. More specifically Boolean Algebra and Truth Tables have been making their way into middle and high school mathematics classrooms with the nation's shift from just being able to compute to an understanding on a cognitive level why you solved the problem the way you did. In United States schools the standardized testing is becoming increasingly rigorous as the years go by and mathematics concepts that used to be reserved for higher education students are now considered everyday math. “Mathematical knowledge and the ability to solve quantifiable problems and utilize critical thinking skills enhance the abilities of students to think and make decisions (Su, 2016). Applying logic to common math problems in a low-pressure classroom setting prepares students and interests them in higher-level mathematics applications. The goal of every teacher is to expand the mind of and inspire their students to go farther in the subject matter than they ever thought possible and teaching them these logic skills and applications will help them get there.

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