Literaturnachweis - Detailanzeige
Autor/in | Duval, Raymond |
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Titel | A Cognitive Analysis of Problems of Comprehension in a Learning of Mathematics |
Quelle | In: Educational Studies in Mathematics, 61 (2006) 1-2, S.103-131 (29 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0013-1954 |
DOI | 10.1007/s10649-006-0400-z |
Schlagwörter | Cognitive Processes; Comprehension; Mathematics; Difficulty Level; Semiotics; Learning Problems; Mathematics Curriculum; Mathematics Skills; Cognitive Ability |
Abstract | To understand the difficulties that many students have with comprehension of mathematics, we must determine the cognitive functioning underlying the diversity of mathematical processes. What are the cognitive systems that are required to give access to mathematical objects? Are these systems common to all processes of knowledge or, on the contrary, some of them are specific to mathematical activity? Starting from the paramount importance of semiotic representation for any mathematical activity, we put forward a classification of the various registers of semiotic representations that are mobilized in mathematical processes. Thus, we can reveal two types of transformation of semiotic representations: treatment and conversion. These two types correspond to quite different cognitive processes. They are two separate sources of incomprehension in the learning of mathematics. If treatment is the more important from a mathematical point of view, conversion is basically the deciding factor for learning. Supporting empirical data, at any level of curriculum and for any area of mathematics, can be widely and methodologically gathered: some empirical evidence is presented in this paper. (Author). |
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Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2017/4/10 |