Norms and Values Upheld by Different Mathematical Activities: Proving, Defining, and Algorithmatizing
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Algorithms, proofs, and definitions all play important roles in mathematics as products of research and objects worthy of study in the classroom. Nevertheless, limited research has examined mathematicians’ views of algorithms or compared their views across these objects and related activities. Based on interviews with nine discrete or computational mathematicians, we highlight similarities and differences between the values associated with these mathematical activities and relative importance placed on the varied activities.