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ERIC Number: EJ764967
Record Type: Journal
Publication Date: 2004-Jul
Pages: 34
Abstractor: Author
ISBN: N/A
ISSN: ISSN-0021-8251
EISSN: N/A
Available Date: N/A
Visual Salience of Algebraic Transformations
Kirshner, David; Awtry, Thomas
Journal for Research in Mathematics Education, v35 n4 p224-257 Jul 2004
Information processing researchers have assumed that algebra symbol skills depend on mastery of the abstract rules presented in the curriculum (Matz, 1980; Sleeman, 1986). Thus, students' ubiquitous algebra errors have been taken as indicating the need to embed algebra in rich contextual settings (Kaput, 1995; National Council of Teachers of Mathematics [NCTM] Algebra Working Group, 1998). This study explored a nonrepresentational account of symbolic algebra skills as feature correlation within the visual field. We present evidence that algebra students respond spontaneously to the visual patterns of the notational display apart from engagement with the declarative content of the rules. Thus, persistent algebra errors may reflect disengagement from declarative content rather than an inability to deal with it. We sketch a Lexical Support System designed to sustain students' engagement with the declarative content of algebraic rules and processes, thus complementing the exciting curricular possibilities being developed for referentially rich algebra. (Contains 9 tables, 3 figures and 5 footnotes.)
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/
Publication Type: Journal Articles; Reports - Research
Education Level: Grade 7; Middle Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Louisiana
Grant or Contract Numbers: N/A
Author Affiliations: N/A