Repeating Decimals and Irrational Numbers on the Number Line: Through the Lens of Pre-Service and In-Service Mathematics Teachers

Autor/inn/en	Caylan Ergene, Büsra; Ergene, Özkan
Titel	Repeating Decimals and Irrational Numbers on the Number Line: Through the Lens of Pre-Service and In-Service Mathematics Teachers
Quelle	In: Acta Didactica Napocensia, 13 (2020) 2, S.215-232 (18 Seiten)Infoseite zur Zeitschrift PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	2065-1430
Schlagwörter	Arithmetic; Number Concepts; Mathematics Teachers; Experienced Teachers; Preservice Teachers; Mathematics Skills; Elementary School Teachers; Secondary School Teachers; Mathematical Logic + Suchen Sie Ihr Suchwort? Addition; Arithmetik; Arithmetikunterricht; Rechnen; Number concept; Zahlbegriff; Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende; Mathmatics achievement; Mathematics ability; Mathematische Kompetenz; Elementary school; Grundschule; Volksschule; Mathematical logics; Mathematische Logik
Abstract	The purpose of the study is to examine how pre-service and in-service mathematics teachers locate repeating decimals and irrational numbers on the number line. The participants of the study included 274 pre-service and 106 in-service mathematics teachers. Data were collected through a written questionnaire including four open-ended questions. In the questionnaire, preservice and in-service teachers were asked to determine whether the given numbers 0.444…,[square root of]2, [pi] and e can be located on the number line, they cannot be located on the number line or they do not have exact places on the number line. Additionally, they were asked to justify their responses to each of the questions in the questionnaire. Open coding was performed while analysing data. Findings indicated that while majority of the participants stated that given repeating decimal, i.e. 0.444…, can be located on the number line, for the given irrational numbers, i.e. [square root of]2, [pi] and e, only small number of participants considered that they can be located on the number line. The main sources of the consideration that the given numbers do not have an exact place or they cannot be located on the number line were identified as approximation, infinity, irrationality and uncertainty in the justifications. (As Provided).
Anmerkungen	Babes-Bolyai University. Kogainiceanu 1, Cluj-Napoca, 400084 Romania. e-mail: submit_adn@yahoo.com; Web site: http://adn.teaching.ro
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01