Mathematical Flexibility: Aspects of a Continuum and the Role of Prior Knowledge

Autor/inn/en	Newton, Kristie J.; Lange, Karin; Booth, Julie L.
Titel	Mathematical Flexibility: Aspects of a Continuum and the Role of Prior Knowledge
Quelle	In: Journal of Experimental Education, 88 (2020) 4, S.503-515 (13 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0022-0973
DOI	10.1080/00220973.2019.1586629
Schlagwörter	Prior Learning; Mathematics Education; Algebra; Mathematics Instruction; Problem Solving; Preferences; Units of Study; Classroom Techniques; Instructional Effectiveness; Teaching Methods; Equations (Mathematics); Role; Individual Differences; Scoring; Grade 8; Pretests Posttests; Blended Learning; Cognitive Style + Suchen Sie Ihr Suchwort? Vorkenntnisse; Mathematische Bildung; Mathematics lessons; Mathematikunterricht; Problemlösen; Lerneinheit; Klassenführung; Unterrichtserfolg; Teaching method; Lehrmethode; Unterrichtsmethode; Equations; Mathematics; Gleichungslehre; Rollen; Individueller Unterschied; Bewertung; School year 08; 8. Schuljahr; Schuljahr 08; Cognitive styles; Kognitiver Stil
Abstract	Psychologists and mathematics educators have long viewed flexibility as critical to students' mathematical development. In this paper, we focused on the multidimensional nature of flexibility to better understand how preference, knowledge, and use of effective methods for solving algebra problems are related. In Study 1, we identified research-based aspects of flexibility with algebra and assessed students on them following a two-step equations unit. Results indicated that certain aspects of flexibility develop prior to others and that prior knowledge of algebra plays a significant role in that development. Study 2 confirmed and elaborated on these results using a larger sample size. Implications for theory and for supporting flexibility in classrooms are discussed. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01