Assessment of a Problem-Centered Mathematics Program: Third Grade

Six classes received problem-centered mathematics instruction for 2 years in second and third grade. This instruction was generally reflective of a socioconstructivist theory of knowing and compatible with recommendations for reform in mathematics education. A class-by-instruction factorial design was used to compare students in problem-centered classes for 2 years with students in problem-centered classrooms for 1 year, and with students in textbook classes for 2 years on a standardized achievement test. In addition, classes using problem-centered instruction for 2 years were compared with students in problem-centered classes for 1 year on an instrument designed to assess students' conceptual development in arithmetic and an instrument developed to examine personal goals and beliefs about reasons for success in mathematics. The results of the analyses indicate that significant differences exist in arithmetic learning for students in problem-centered classes for 2 years on the standardized achievement test and the arithmetic test. The results indicate that after 2 years of instruction in reform-based classes, students score significantly higher on standardized measures of computational proficiency as well as conceptual understanding. Additionally, these students hold stronger beliefs about the importance of finding their own or different ways to solve problems.