Conceptualizing Language for Mathematical Problem Types Across Domains
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In this preliminary theoretical report, we problematize the language used in mathematical problems – in particular, with respect to the objectives and the directives of problems. We use this to conceptualize a set of eight problem types, described in three clusters, that run across mathematical domains. This paper explores the motivation for such work, as well as a rationale for why existing problem classifications in mathematics do not accomplish our intended aims; we identify potential applications of the framework, as well as challenges, for discussion.