Simplest Shapes First! But Let's Use Cognitive Science to Reconceive and Specify What "Simple" Means

Autor/inn/en	Nurnberger-Haag, Julie; Thompson, Clarissa A.
Titel	Simplest Shapes First! But Let's Use Cognitive Science to Reconceive and Specify What "Simple" Means
Quelle	In: Mind, Brain, and Education, 17 (2023) 1, S.5-19 (15 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Zusatzinformation	ORCID (Nurnberger-Haag, Julie) ORCID (Thompson, Clarissa A.) Weitere Informationen
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1751-2271
DOI	10.1111/mbe.12338
Schlagwörter	Cognitive Science; Geometric Concepts; Mathematics Education; Educational Research; Teaching Methods; Misconceptions; Learning Trajectories + Suchen Sie Ihr Suchwort? Kognitionswissenschaft; Elementare Geometrie; Mathematische Bildung; Bildungsforschung; Pädagogische Forschung; Teaching method; Lehrmethode; Unterrichtsmethode; Missverständnis
Abstract	Children's informal and formal learning experiences with geometric shapes currently result in misconceptions that persist into adulthood. Here, we combine research from mathematics education as well as cognitive science pertaining to concepts, categories, and learning strategies to propose a more optimal progression that is better specified and justified than the current standards. To do so, we reframed what constitutes a "simple" shape from perceptual simplicity to simplicity of properties. Our Property-Based Shape Sequence uses property-based criteria of what makes shapes "simple" and progresses in a way that affords opportunities for learners to develop hierarchical conceptions of two-dimensional and three-dimensional shapes. Our goals are threefold: (1) recommend an optimal, mathematically-correct shape learning sequence, (2) correct misconceptions that adults and children harbor about shapes, and (3) encourage cross-disciplinary collaborations between mathematics education and psychology researchers to validate the proposed learning sequence. (As Provided).
Anmerkungen	Wiley. Available from: John Wiley & Sons, Inc. 111 River Street, Hoboken, NJ 07030. Tel: 800-835-6770; e-mail: cs-journals@wiley.com; Web site: https://www.wiley.com/en-us
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01