Researcher argued that there are tight links between learners’ awareness of binary operations properties’ and their beliefs about functions. This paper went deeply into analyzing the of that relationship through reviewing some wrong types of students’ beliefs about functions in view of distributive binary operations in mathematics curricula. This paper showed the sensibility of some wrong types of students’ beliefs about functions and how these wrong types of students’ beliefs about functions assimilate overgeneralizations for distributive properties of binary operations.
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