The purpose of this study was to assess the effects of schema-broadening instruction (SBI) on second graders' word-problem-solving skills and their ability to represent the structure of word problems using algebraic equations. Teachers (n = 18) were randomly assigned to conventional word-problem instruction or SBI word-problem instruction, which…

This study examined the reliability, validity, and predictive utility of kindergarten screening for risk for math difficulty (MD). Three screening measures, administered in September and May of kindergarten to 196 students, assessed number sense and computational fluency. Conceptual and procedural outcomes were measured at end of first grade, with…

The present study evaluated the stability of math learning difficulties over a 2-year period and investigated several factors that might influence this stability (categorical vs. continuous change, liberal vs. conservative cut point, broad vs. specific math assessment); the prediction of math performance over time and by performance level was also…

This study examined whether and, if so, how word-problem features differentially affect problem difficulty as a function of mathematics difficulty (MD) status: no MD (n = 109), MD only (n = 109), or MD in combination with reading difficulties (MDRD; n = 109). The problem features were problem type (total, difference, or change) and position of…

The National Research Center on Learning Disabilities (NRCLD) has completed two large studies to look at how responsiveness to intervention (RTI) works at the first-grade level for preventing and identifying specific learning disabilities (SLD) in reading and math. The purpose of this report is to help professionals and parents understand what RTI…

This study assessed the effects of preventative tutoring on the math problem solving of third-grade students with math and reading difficulties. Students (n = 35) were assigned randomly to continue in their general education math program or to receive secondary preventative tutoring 3 times per week, 30 min per session, for 12 weeks.…

Elementary school students often misinterpret the equal sign (=) as an operational rather than a relational symbol. Such misunderstanding is problematic because solving equations with missing numbers may be important for the development of higher order mathematics skills, including solving word problems. Research indicates equal-sign instruction…

Dynamic assessment (DA) involves helping students learn a task and indexing responsiveness to that instruction as a measure of learning potential. The purpose of this study was to explore the utility of a DA of algebraic learning in predicting third graders' development of mathematics problem solving. In the fall, 122 third-grade students were…

Assessed effects of three-week break on elementary students with and without mild disabilities in mathematics. Found that regression was not indicated when levels of comparison were examined, although levels of performance for students with and without disabilities differed significantly after break. Students with positive prebreak trends were…

The quality and effectiveness of students' mathematical explanations as a function of the ability of the tutor were studied with dyads from 20 classrooms (60 students) in which students had been practicing peer tutoring for 23 weeks. Tutees of high-achieving peer tutors offered better explanations. (SLD)

Examined students' rates of academic growth (slopes of achievement). Using standard Curriculum-Based Measurement procedures in reading, spelling, and mathematics, students in Year 1 (n=546) were measured weekly; students in Year 2 (n=2,511) were measured at least monthly. Results provided corroborating data across years and interesting patterns…

Examined how contextual variables affect types of instructional adaptations teachers propose for students experiencing academic failure. Within academic areas (reading or mathematics), teachers (n=76) were assigned randomly to three idea generation formats: oral independent, written independent, and assisted with ideas for potential solutions.…

Examined the effects of providing students with background information about the structure and scoring of mathematics performance assessments (PA). Results for 187 elementary school students who had PA orientation and 182 who did not show the effects of test wiseness training for average and above-average students, but not for below-average…

Examined effects of workgroup size and structure during collaborative work on complex tasks. Found that dyads produced greater collaboration for low-achievers, whereas small groups generated more cognitive conflict among other students. Productivity did not differ as a function of background structure. Findings posed implications for optimizing…

Interactions and performances of 10 high-achieving third- and fourth-grade students on complex mathematics tasks were studied as a function of paring with other high-achieving (homogeneous) or low-achieving (heterogeneous pairing) students. Homogeneous dyads operate more collaboratively, generate more cognitive conflict, and create better quality…