数学学習におけるノート記述とメタ認知 : 記号論的連鎖とメタ表記の観点からの考察

概要

論文の詳細を見る
In this paper, the theoretical frameworks of semiotic chaining and meta-representation are examined. Taking account of a Peircean model with three components, a representation of nested chaining, which consists of object, representamen, and interpretant, is identified. From Hirabayashi's (1987) implication, it is found that meta-representation can be either a method of learning mathematics or an explanation of the content of mathematics. Referring to the triadic model of chaining, both object and representamen are object-representation in Hirabayachi's terms, whereas the interpretant is a meta-representation. In this paper, a framework of reflexive writing is examined in terms of these constructs, and an example is analyzed using the nested (triadic) model of chaining. From this model, three types of note-taking are identified, and the importance of expressing an interpretant is emphasized.