The main purpose of this study was to test the effects of word-problem (WP) intervention, with versus without embedded language comprehension (LC) instruction, on at-risk 1st graders' WP performance. We also isolated the need for a structured approach to WP intervention and tested the efficacy of schema-based instruction at 1st grade. Children (n…

We present first-grade, second-grade, and third-grade impacts for a first-grade intervention targeting the conceptual and procedural bases that support arithmetic. At-risk students (average age at pretest = 6.5) were randomly assigned to three conditions: a control group (n = 224) and two variants of the intervention (same conceptual instruction…

The purpose of this study was to explore the paths by which word-problem intervention, with versus without embedded pre-algebraic reasoning instruction, improves word-problem performance. Students with mathematics difficulty (MD; n = 304) were randomly assigned to a business-as-usual condition or one of two variants of word-problem intervention.…

The focus of this study was connections among 3 aspects of mathematical cognition at 2nd grade: calculations, word problems, and prealgebraic knowledge. We extended the literature, which is dominated by correlational work, by examining whether intervention conducted on calculations or word problems contributes to improved performance in the other…

The main purposes of this study were to test the effects of teaching at-risk 4th graders to provide explanations for their mathematics work and examine whether those effects occur by compensating for limitations in cognitive processes. We randomly assigned 212 children to 3 conditions: a control group and 2 variants of a multi-component fraction…

The purpose of this study was to assess whether understanding relational terminology (i.e., "more, less," and "fewer") mediates the effects of intervention on compare word problems. Second-grade classrooms (N = 31) were randomly assigned to one of three conditions: researcher-designed word-problem intervention, researcher-designed calculation…

This study determined the effectiveness of Kindergarten Peer-Assisted Learning Strategies (K-PALS) for students with disabilities. The researchers randomly assigned 89 kindergartners with individualized education programs (IEPs) from 47 classrooms to control (n = 9); K-PALS Level 1 (teachers received 1-day workshop; n = 19); or K-PALS Level 2…

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…

Thirty special educators were randomly assigned to treatment groups, including a control condition and different levels of curriculum-based management analysis, one of which included graphed performance indicators with skills analysis; one, graphed performance indicators only, and another, graphed performance indicators with ordered lists of…

A study was conducted to assess the effect of contrasting mastery learning procedures on the reading achievement of high and low ability students. Subjects were 48 high and 40 low ability first grade students randomly assigned to either a typical commercial basal reading series mastery treatment or an alternative mastery learning treatment that…