ERIC Number: EJ1437318
Record Type: Journal
Publication Date: 2024-Aug
Pages: 12
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1751-2271
EISSN: EISSN-1751-228X
Available Date: N/A
Mathematics Presentation Matters: How Superfluous Brackets and Higher-Order Operator Position in Mathematics Can Impact Arithmetic Performance
Alena Egorova; Vy Ngo; Allison S. Liu; Molly Mahoney; Justine Moy; Erin Ottmar
Mind, Brain, and Education, v18 n3 p258-269 2024
Perceptual learning theory suggests that perceptual grouping in mathematical expressions can direct students' attention toward specific parts of problems, thus impacting their mathematical reasoning. Using in-lab eye tracking and a sample of 85 undergraduates from a STEM-focused university, we investigated how higher-order operator position (HOO; i.e., multiplication/division operators and the presence of superfluous brackets impacted students' time to first fixation to the HOO, response time, and percent of correct responses). Students solved order-of-operations problems presented in six ways (3 HOO positions × presence of brackets). We found that HOO position and presence of superfluous brackets had separate and combined impacts on calculating arithmetic expressions. Superfluous brackets most influenced undergraduates' performance when higher-order operators were located in the center of mathematical expressions. Implications for learning and future directions are discussed about observing eye movements and gaining insights into students' processes when solving arithmetic expressions.
Descriptors: Undergraduate Students, STEM Education, Mathematical Formulas, Mathematics Instruction, Eye Movements, Arithmetic, Computation, Thinking Skills, Symbols (Mathematics), Interference (Learning), Mathematics Achievement, Learning Processes
Wiley. Available from: John Wiley & Sons, Inc. 111 River Street, Hoboken, NJ 07030. Tel: 800-835-6770; e-mail: cs-journals@wiley.com; Web site: https://www-wiley-com.bibliotheek.ehb.be/en-us
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Data File: URL: https://osf.io/fbwxy/?view_only=2eb85206fc604680afc18adeea9d9440
Author Affiliations: N/A