Consolidation of Similarity Knowledge via Pythagorean Theorem: A Turkish Case Study

Autor/inn/en	Güler, Hatice Kübra; Arslan, Çigdem
Titel	Consolidation of Similarity Knowledge via Pythagorean Theorem: A Turkish Case Study
Quelle	In: Acta Didactica Napocensia, 10 (2017) 2, S.67-80 (14 Seiten)Infoseite zur Zeitschrift PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	2065-1430
Schlagwörter	Foreign Countries; Case Studies; Mathematics Instruction; Mathematical Concepts; Knowledge Level; Problem Solving; Validity; Mathematical Logic; Grade 8; Preservice Teachers; Graduate Students; Undergraduate Students; High School Students; Interviews; Video Technology; Age Differences; Equations (Mathematics); Algebra; Turkey + Suchen Sie Ihr Suchwort? Ausland; Case study; Fallstudie; Case Study; Mathematics lessons; Mathematikunterricht; Wissensbasis; Problemlösen; Gültigkeit; Mathematical logics; Mathematische Logik; School year 08; 8. Schuljahr; Schuljahr 08; Graduate Study; Student; Students; Aufbaustudium; Graduiertenstudium; Hauptstudium; Studentin; High school; High schools; Oberschule; Schüler; Schülerin; Interviewing; Interviewtechnik; Age; Difference; Age difference; Altersunterschied; Equations; Mathematics; Gleichungslehre; Türkei
Abstract	Understanding how students learn is important for both researchers and teachers. In terms of mathematics, constructing a new mathematical structure depends on conceptual understanding and connection with previous construct and they needs to be consolidated. A construct can be consolidated when the construct is recognized and used in the further activities or while new structure is being constructed. In this paper, our aim is to observe consolidation of similarity knowledge by the help of Pythagorean Theorem in terms of characteristics of consolidation; "immediacy," "self-evidence," "confidence," "flexibility," "awareness." We would like to observe consolidation in different ages. Participants of this study are one master, one undergraduate and one high school students from Turkey. The consolidation of similarity knowledge was observed when students tried to prove Pythagorean Theorem. The data were analyzed by using RBC+C-model's characteristics. As a result, it was seen that characteristics of consolidation were useful to analyze consolidation. However, there is a need for posterior experiments to investigate whether "immediacy" is an essential characteristic of consolidation. It can be said that "awareness" and "flexibility" are seen essential and easily observable characteristics of the consolidation process. (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	2020/1/01