Mathematical Fallacies and Their Use in the Algebraic Curriculum in Schools

Kamelia Koleva
Land Forces Faculty National Military University „Vassil Levski”

Abstract. Mathematical fallacies are such statements in the chains of arguments that cause subtle mistakes. Using them in the process of teaching Mathematics can contribute to increasing students’ interest in learning the material as well as helping them acquire a firm and lasting knowledge in mathematical concepts and theorems. In brief, the connections between sophisms, paradoxes and paralogisms, as well as the differences between the terms „sophism” and „fallacy“, are explained. The socalled mathematical howlers and examples of them are presented in connection with the subject in consideration. This paper includes examples of the use of fallacies in the Algebraic curriculum in schools, in line with the current mathematics programs.
Keywords: sophism; fallacy; mathematics; algebra; teaching; paradox; howler

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