Contributions of domain-general and domain-specific numerical competencies were assessed on first graders' number combination skill (NC) and word-problem skill (WP). Students (n = 205) between 5 and 7 years of age were assessed on 2 aspects of numerosity, 8 domain-general abilities, NC, and WP. Both aspects of numerosity predicted NC when…

Response-to-intervention (RTI) approaches to disability identification are meant to put an end to the so-called wait-to-fail requirement associated with IQ discrepancy. However, in an unfortunate irony, there is a group of children who wait to fail in RTI frameworks. That is, they must fail both general classroom instruction (Tier 1) and…

The purpose of this study was to examine the interplay between basic numerical cognition and domain-general abilities (such as working memory) in explaining school mathematics learning. First graders (N = 280; mean age = 5.77 years) were assessed on 2 types of basic numerical cognition, 8 domain-general abilities, procedural calculations, and word…

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 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…

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…

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…

This experimental study examined the influence of a classwide peer-tutoring reading program (Peer-Assisted Learning Strategies; PALS) on the quality of social relationships of elementary school children. Using a sociometric procedure, social preference and friendships were evaluated before and after the PALS program. Overall (mean) and…

Effectiveness of a classwide peer tutoring program was studied for low achievers with and without learning disabilities and average achievers in 20 elementary school intervention classes and 20 control classes. All types of learners in peer tutoring classrooms demonstrated greater reading progress regardless of which of three measures was used.…