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ERIC Number: EJ1487889
Record Type: Journal
Publication Date: 2025
Pages: 21
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0020-4277
EISSN: EISSN-1573-1952
Available Date: 2024-11-06
Erroneous Examples in Refutational Text to Address the Phenomenal Sign Misconception in Equations and Inequalities
Instructional Science: An International Journal of the Learning Sciences, v53 n2 p315-335 2025
The ability to solve equations and inequalities is necessary for success in algebra. However, reasoning biases and misconceptions may create barriers for students to build knowledge of algebraic symbols and their values. This study investigated whether students' errors when solving equations and inequalities could be attributed to their tendency to misinterpret the phenomenal sign of an expression (e.g., -2x interpreted as representing negative numbers only). Additionally, the study examined whether an intervention using erroneous reasoning examples in refutational texts would be more effective than correct examples in helping students address the specific misconception. The study involved 119 9th-grade Greek students who underwent Pre-, Post-, and Retention tests. The Experimental Group (N = 44) saw erroneous examples of reasoning with solving inequalities in refutational text, while the Control Group (N = 65) saw correct examples in non-refutational text. The results showed that students' misinterpretation of the phenomenal sign in algebraic expressions may influence their mistakes when solving certain kinds of equations and inequalities. Both erroneous and correct examples were effective in helping students address some of their misconceptions, although the gains were not sustained in the long term.
Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link-springer-com.bibliotheek.ehb.be/
Publication Type: Journal Articles; Reports - Research
Education Level: Grade 9; High Schools; Junior High Schools; Middle Schools; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Greece
Grant or Contract Numbers: N/A
Author Affiliations: 1Aristotle University of Thessaloniki, Thessaloniki, Greece; 2Harvard University, Cambridge, MA, USA