Angling for the Right Result: Students' Conceptualizations of Angles

Autor/in	Mullins, Sara Brooke
Titel	Angling for the Right Result: Students' Conceptualizations of Angles
Quelle	In: Journal of Research in Education, 29 (2020) 1, S.1-47 (47 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1083-6470
Schlagwörter	Geometric Concepts; Grade 5; Grade 7; Grade 12; Mathematics Instruction; Geometry; Teaching Methods; Schemata (Cognition); Cognitive Processes; Concept Formation; Misconceptions; Learning Processes + Suchen Sie Ihr Suchwort? Elementare Geometrie; School year 05; 5. Schuljahr; Schuljahr 05; School year 07; 7. Schuljahr; Schuljahr 07; School year 12; 12. Schuljahr; Schuljahr 12; Mathematics lessons; Mathematikunterricht; Geometrie; Teaching method; Lehrmethode; Unterrichtsmethode; Cognition; Schema; Kognition; Cognitive process; Kognitiver Prozess; Concept learning; Begriffsbildung; Missverständnis; Learning process; Lernprozess
Abstract	The concept of angles is important for future geometric knowledge (Arslan et al., 2016; Moore, 2013; Yigit, 2014). However, although Piaget (1948) suggests angles lead to the discovery of lines, angles are typically taught later in schools, after points, lines, and planes (Charles, 2011). Therefore, the way in which angles are taught can affect how students conceptualize angles. This study investigates such phenomena by using APOS theory and a preliminary genetic decomposition. Data was collected from a fifth grade student, a seventh grade student, and a twelfth grade student. Results show: the fifth grader developed a 2- and 1-line schema for angles; the seventh grader developed a 2-line schema; and the twelfth grader developed a 2-, 1-, and 0-line schema. Overall, the students contradicted the genetic decomposition model due to the fluidity of their thinking. This study provides teaching implications as well as areas for future research. (As Provided).
Anmerkungen	Eastern Educational Research Association. George Watson, Marshall University, One John Marshall Drive, College of Education and Professional Development, Huntington, WV 25755. e-mail: eerajournal@gmail.com; Web site: http://www.eeraorganization.org
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2022/1/01