Algebraic Thinking in the Context of Spatial Visualization

Autor/inn/en	Wares, Arsalan; Custer, David
Titel	Algebraic Thinking in the Context of Spatial Visualization
Quelle	In: Mathematics Teacher: Learning and Teaching PK-12, 116 (2023) 6, S.431-436 (6 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0025-5769
Schlagwörter	Mathematical Logic; Geometry; Algebra; Spatial Ability; Visual Aids; Pattern Recognition; Educational Technology; Technology Uses in Education; Mathematics Instruction; Middle School Students; High School Students; Mathematics Activities + Suchen Sie Ihr Suchwort? Mathematical logics; Mathematische Logik; Geometrie; Räumliches Vorstellungsvermögen; Anschauungsmaterial; Mustererkennung; Unterrichtsmedien; Technology enhanced learning; Technology aided learning; Technologieunterstütztes Lernen; Mathematics lessons; Mathematikunterricht; Middle school; Middle schools; Student; Students; Mittelschule; Mittelstufenschule; Schüler; Schülerin; High school; High schools; Oberschule; Studentin
Abstract	Generalizing, conjecturing, representing, justifying, and refuting are integral parts of algebraic thinking and mathematical thinking in general (Lannin et al., 2011). The activity described in this article makes a case for generalizing as an overall mindset for any introductory algebra or geometry class by illustrating how generalization problems can be used to develop algebraic reasoning and meaningful symbol use (Kinach, 2014). The activity is presented in the context of technology, three-dimensional geometry, and spatial visualization--things that help students build on the innate pattern-recognizing capability of the brain that allows us to see the general in the particular (Mason et al., 2010; Kinach, 2014). Technology can also play a powerful role in developing students' reasoning and sense-making skills, while also helping them communicate better. This activity can be used with middle grades and high school students but has also been implemented in mathematics classes designed for preservice teachers. (ERIC).
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: publicationsdept@nctm.org; Web site: https://pubs.nctm.org/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01