ERIC Number: EJ1091406
Record Type: Journal
Publication Date: 2016-Jan
Abstractor: As Provided
Does Comparing Informal and Formal Procedures Promote Mathematics Learning? The Benefits of Bridging Depend on Attitudes toward Mathematics
Hattikudur, Shanta; Sidney, Pooja G.; Alibali, Martha W.
Journal of Problem Solving, v9 n1 Article 2 p13-27 Jan 2016
Students benefit from learning multiple procedures for solving the same or related problems. However, past research on comparison instruction has focused on comparing multiple formal procedures. This study investigated whether the benefits of comparing procedures extend to comparisons that involve informal and formal procedures. We also examined how learner characteristics, including prior knowledge and attitudes toward mathematics, affect learning from comparing procedures. We addressed these issues in college students' learning procedures for solving systems of equations problems in algebra. Learners who liked mathematics learned equally well whether they received comparison or sequential instruction. However, among learners who did not like mathematics, instruction that included support for comparisons between the formal and informal procedures led to greater gains in conceptual knowledge than did sequential instruction of the procedures.
Descriptors: Mathematics Education, Problem Solving, Student Attitudes, Mathematics Skills, College Mathematics, Equations (Mathematics), Algebra, Teaching Methods, Comparative Analysis, Sequential Learning, Mathematics Instruction, Undergraduate Students, Pretests Posttests, Mathematics Tests, Attitude Measures
Purdue University Press. Stewart Center Room 370, 504 West State Street, West Lafayette, IN 47907. Tel: 800-247-6553; Fax: 419-281-6883; e-mail: pupress@purdue,edu; Web site: http://docs.lib.purdue.edu/jps/
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Authoring Institution: N/A