학술논문

The Effect of Worked Examples on Student Learning and Error Anticipation in Algebra
Document Type
Journal Articles
Reports - Research
Source
Instructional Science: An International Journal of the Learning Sciences. Aug 2021 49(4):419-439.
Subject
Algebra
Learning Processes
Mathematics Instruction
Middle School Students
Error Patterns
Equations (Mathematics)
Teaching Methods
Instructional Effectiveness
Pretests Posttests
Textbooks
Assignments
Problem Solving
Comparative Analysis
Mathematics Skills
Language
English
ISSN
0020-4277
Abstract
The present study examines the effectiveness of incorporating worked examples with prompts for self-explanation into a middle school math textbook. Algebra 1 students (N = 75) completed an equation-solving unit with textbooks either containing the original practice problems or in which a portion of those problems were converted into a combination of correct, incorrect, and incomplete examples. Students completed pre- and posttest measures of algebraic feature knowledge, equation-solving skills, and error anticipation. Example-based textbook assignments increased students' equation-solving skills and their ability to anticipate errors one might make when solving problems. Differences in students' anticipation of various types of errors are also examined. Error anticipation, a particular form of "negative knowledge," is a potentially important skill that relates to algebraic feature knowledge and equation-solving skills.