According to national mathematics standards, algebra instruction should begin at kindergarten and continue through elementary school. Most often, teachers address algebra in the elementary grades with problems related to solving equations or understanding functions. With 789 second-grade students, we administered: (1) measures of calculations and…

The Common Core State Standards provide teachers with a framework of necessary mathematics skills across grades K-12, which vary considerably from previous mathematics standards. In this article, we discuss concerns about the implications of the Common Core for students with mathematics difficulties (MD), given that students with MD, by…

The purpose of the study was to examine differences in early numerical competencies, as well as subtraction skill, as a function of children's mathematics difficulty (MD) status: computational difficulty (CD), word problem-solving difficulty (PD), concurrent difficulty (CDPD), or neither difficulty (i.e., typically developing; TYP). Based on…

The purpose of this study was to assess the efficacy of fact retrieval tutoring as a function of math difficulty (MD) subtype, that is, whether students have MD alone (MD-only) or have concurrent difficulty with math and reading (MDRD). Third graders (n = 139) at two sites were randomly assigned, blocking by site and MD subtype, to four tutoring…

The objectives of this study were to (1) evaluate group differences in specific arithmetic competencies among students with various types of learning difficulties (LD) and (2) to examine the influence of attention behaviors on possible group differences. Participants were a community sample of 291 third- and fourth-grade students with reading…

Responsiveness to intervention (RTI) is an innovative approach to the identification of learning disabilities (LD). The central assumption is that RTI can differentiate between two explanations for low achievement: poor instruction versus disability. If the child responds poorly to validated instruction, then the assessment eliminates…

The purpose of this study was to examine the relations of various cognitive abilities and aspects of math performance with computational estimation skill among third graders. Students (n=315) were assessed on language, nonverbal reasoning, concept formation, processing speed, long-term memory, working memory, inattentive behavior, basic reading…

Twenty-four students with reading difficulties (grade 4) and 85 skilled readers completed a reading comprehension test, read aloud a folktale, and read aloud a list of the folktale's words. Skilled readers read three times more correct words per minute in context and showed higher accuracy and rates on all measures. (Contains references.)…

This article explores conceptual and technical issues associated with options for specifying three assessment components for implementing an intervention responsiveness approach to the identification of learning disabilities: the timing of the measurement of student response to intervention; the criterion for demarcating learning as inadequate;…

In this introductory article, a response-to-instruction approach to learning disabilities (LD) identification is discussed. An overview of the promise and potential pitfalls of such an approach is provided. Benefits include identification of students based on risk rather than deficit and early identification. Questions concern the integrity of the…

A study collected sociometric data in 39 second- through sixth-grade classrooms, 22 of which were engaged in Peer-Assisted Learning Strategies (PALS), a form of peer tutoring. Students with learning disabilities in PALS classes were more socially accepted than those in no-PALS classes and enjoyed the same social standing as controls. (Contains…

A small-group mathematical problem-solving tutorial treatment with explicit instruction including transfer to novel problems was evaluated with 40 students. On word problems and transfer word problems, tutoring effected reliably stronger growth, although effects on real-world problem solving, while moderate to large, were not statistically…

A data-based approach is introduced as an alternative way to help teachers formulate decisions about the validity of test accommodations for students with learning disabilities. Three rationales for the approach are provided: an inadequate research base to guide decision-making, student heterogeneity, and problems with teacher's use of subjective…

This article identifies and discusses principles of prevention and intervention in the area of mathematics. Three levels of prevention and intervention are addressed: primary prevention focusing on universal design, secondary prevention focusing on adaptations, and tertiary prevention focusing on intensive and explicit contextualization of…

The purpose of this study was to determine the proportion of empirical studies published in the last 5 years in a sample of special education peer-reviewed journals that: (1) assessed the effects of reading and math interventions with group designs and; (2) used random assignment to treatment conditions to test those interventions. A hand search…