Epistemological Matrix of Rational Number: A Look at the Different Meanings of Rational Numbers

Autor/inn/en	Elias, Henrique Rizek; Ribeiro, Alessandro Jacques; Savioli, Angela Marta Pereira das Dores
Titel	Epistemological Matrix of Rational Number: A Look at the Different Meanings of Rational Numbers
Quelle	In: International Journal of Science and Mathematics Education, 18 (2020) 2, S.357-376 (20 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Elias, Henrique Rizek)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1571-0068
DOI	10.1007/s10763-019-09965-4
Schlagwörter	Epistemology; Numbers; Number Concepts; Matrices; Textbooks; Secondary School Mathematics; Middle School Students; High School Students; Classification; Mathematics Education + Suchen Sie Ihr Suchwort? Erkenntnistheorie; Zahlenraum; Number concept; Zahlbegriff; Matrizenrechnung; Textbook; Text book; Schulbuch; Lehrbuch; Middle school; Middle schools; Student; Students; Mittelschule; Mittelstufenschule; Schüler; Schülerin; High school; High schools; Oberschule; Studentin; Classification system; Klassifikation; Klassifikationssystem; Mathematische Bildung
Abstract	Our goal in this article is to organise an epistemological matrix for the concept of rational number that contemplates its different meanings. Aiming at understanding the various ways to signify the rational numbers and based on the theoretical-methodological approach of conceptual profiles, we produce and analyse data from various sources, including the sociocultural and ontogenetic domains, namely data extracted from secondary sources on the history of mathematics, mathematical analysis of subconstructs of rational numbers, analysis of textbooks for the middle and high school, as well as textbooks for higher education, research data on students' alternative conceptions, interviews with 3 teacher educators and 4 in-service teachers from middle and high school. Such data allowed us, by means of an active interpretation of the researchers, to list 11 themes from which the rational numbers can be signified and to organise them into an epistemological matrix. Finally, we conduct a theoretical discussion that compares our epistemological matrix with an already quite widespread perspective in mathematics education, which is Kieren's subconstructs. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2022/1/01