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ERIC Number: EJ1444251
Record Type: Journal
Publication Date: 2024
Pages: 14
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1098-6065
EISSN: EISSN-1532-7833
Interpreting Literal Symbols in Algebra under the Effects of the Natural Number Bias
Konstantinos P. Christou; Despoina Ioanna Kyrvei; Xenia Vamvakoussi
Mathematical Thinking and Learning: An International Journal, v26 n4 p331-344 2024
In this study, we investigated how secondary students interpret algebraic expressions that contain literal symbols to stand for variables. We hypothesized that the natural number bias (i.e., the tendency to over-rely on knowledge and experiences based on natural numbers) would affect students to think that the literal symbols stand for natural numbers only rather than for any rational or real number (integrity effect); and that the arithmetical values of the algebraic expressions are of the same sign as the expressions' phenomenal sign (phenomenal sign effect). The participants (138 8th and 9th graders) were asked to evaluate 48 statements about numbers that can or cannot be assigned to six algebraic expressions that contained literal symbols (e.g., a, -d-4). The results supported the main hypothesis of the study with respect to the integrity as well as the phenomenal sign effect and also indicated that the former was stronger than the latter. Additionally, the most salient characteristics of the form of each expression, such as its sign, appeared to affect students' responses regarding the arithmetical values they may represent. Theoretical and educational implications are discussed.
Routledge. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education; Grade 8; Junior High Schools; Middle Schools; Secondary Education; Grade 9; High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Greece
Grant or Contract Numbers: N/A