title: Which Instructional Practices Most Help First Grade Students with and without Mathematics Difficulties?
abstract: We used population-based, longitudinal data to investigate the relation between mathematics instructional practices used by 1stgrade teachers in the U.S. and the mathematics achievement of their students. Factor analysis identified four types of instructional activities (i.e., teacher-directed, student-centered, manipulatives/calculators, movement/music) and eight types of specific skills taught (e.g., adding two-digit numbers). First-grade students were then classified into five groups on the basis of their fall and/or spring of kindergarten mathematics achievement-three groups with mathematics difficulties (MD) and two without MD. Regression analysis indicated that a higher percentage of MD students in 1stgrade classrooms was associated with greater use by teachers of manipulatives/calculators and movement/music to teach mathematics. Yet follow-up analysis for each of the MD and non-MD groups indicated that only teacher-directed instruction was significantly associated with the achievement of students with MD (covariate-adjustedESs = .05-.07). The largest predicted effect for a specific instructional practice was for routine practice and drill. In contrast, for both groups of non-MD students, teacher-directed and student-centered instruction had approximately equal, statistically significant positive predicted effects (covariate-adjustedESs = .03-.04). First-grade teachers in the U.S. may need to increase their use of teacher-directed instruction if they are to raise the mathematics achievement of students with MD.
authors.affiliation: The Pennsylvania State University.
authors.forename: Paul L
authors.initials: PL
authors.lastname: Morgan
authors.affiliation: University of California, Irvine.
authors.forename: George
authors.initials: G
authors.lastname: Farkas
authors.affiliation: The Pennsylvania State University.
authors.forename: Steve
authors.initials: S
authors.lastname: Maczuga
keywords: 1st grade; Mathematics difficulties; instructional practices; kindergarten; longitudinal