An a Priori Measure of Visual Difficulty of 2-D Sketches Depicting 3-D Objects

Autor/inn/en	Widder, Mirela; Berman, Avi; Koichu, Boris
Titel	An a Priori Measure of Visual Difficulty of 2-D Sketches Depicting 3-D Objects
Quelle	In: Journal for Research in Mathematics Education, 49 (2019) 50, S.489-528 (40 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0021-8251
Schlagwörter	High School Students; Spatial Ability; Visual Perception; Geometry; Mathematics Instruction; Time Management; Comparative Analysis; Barriers; Difficulty Level; Teaching Methods; Visualization; Geometric Concepts + Suchen Sie Ihr Suchwort? High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Räumliches Vorstellungsvermögen; Visuelle Wahrnehmung; Geometrie; Mathematics lessons; Mathematikunterricht; Zeitmanagement; Schwierigkeitsgrad; Teaching method; Lehrmethode; Unterrichtsmethode; Visualisation; Visualisierung; Elementare Geometrie
Abstract	Aiming to enhance understanding of visual obstacles inherent in two-dimensional (2-D) sketches used in high school spatial geometry instruction, we propose a measure of visual difficulty based on two attributes of the sketches: potentially misleading geometrical information (PMI) and potentially helpful geometrical information (PHI). The difficulty of 12 normatively oriented cube-related sketches was theoretically ranked according to their ratios, #PHI/#PMI. The ranking was compared to the actual visual difficulty as measured by the percentage of correct or desired comprehension, individual spatial ability, and study-time allocation. This procedure was repeated for unnormatively oriented sketches, obtained by vertically flipping the original sketches. In both cases, the findings substantiate #PHI/#PMI as an a priori measure of visual difficulty. Practical, theoretical, and methodological implications are inspected and discussed. (As Provided).
Anmerkungen	National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail: NCTM@nctm.org; Web site: http://www.nctm.org/publications/journal-for-research-in-mathematics-education
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01