Wie algebraische Symbolsprache die Möglichkeiten für algebraisches Denken erweitert: Eine Theorie symbolsprachlichen algebraischen Denkens

Alexander Meyer, Astrid Fischer

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

Samenvatting

Algebraic symbols play an important role in school mathematics. In this paper it will be shown, in which ways algebraic symbols enable learners to think algebraically in non-routine problems. This issue is addressed on the basis of an analysis of theories about algebraic thinking and the concept of agency. It is shown that such symbolic algebraic thinking includes finding an algebraic approach, acting intentionally in an algebraic way, and reflecting algebraically. Intentional algebraic actions describe a student’s capability to both act on relations in the original mathematical context (non-symbolic intentional actions) and to act in the context of its symbolic representation (symbolic intentional actions). By being able to change the mode of action between these two modes students can think algebraically in more elaborate ways.
Originele taal-2Duits
Pagina's (van-tot)177-208
TijdschriftJournal für Mathematik-Didaktik
Volume34
Nummer van het tijdschrift2
DOI's
StatusGepubliceerd - 1 okt 2013
Extern gepubliceerdJa

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