Background/Context: The Individuals with Disabilities Education Act (IDEA, 2004) requires that all students with disabilities (SWD) receive a free, appropriate public education designed to meet their unique needs to prepare them for post-school education and employment (American Psychological Association, 2018). In the past two decades, momentum…

Background/Context: The Individuals with Disabilities Education Act (IDEA, 2004) requires that all students with disabilities (SWD) receive a free, appropriate public education designed to meet their unique needs to prepare them for post-school education and employment (American Psychological Association, 2018). In the past two decades, momentum…

Many general and special education teachers teach mathematics word problems by defining problems as a single operation and linking key words to specific operations. Unfortunately, teaching students to approach word problems in these ways discourages mathematical reasoning and frequently produces incorrect answers. This article lists eight common…

Many general and special education teachers across the U.S. teach word problems by defining problems as a single operation (e.g., "Today, we're working on subtraction word problems") and linking key words (e.g., more, altogether, share, twice) to specific operations (e.g., share means to divide). Unfortunately, teaching students to…

Presenting major advances in understanding learning disabilities (LDs) and describing effective educational practices, this authoritative volume has been significantly revised and expanded with more than 70% new material. Foremost LD experts identify effective principles of assessment and instruction within the framework of multi-tiered systems of…

The purpose of this article was to summarize results from 5 randomized control trials assessing the effects of intervention to improve the fraction performance of 4th-grade students at-risk for difficulty in learning about fractions. We begin by explaining the importance of competence with fractions and why an instructional focus on fractions…

Despite recent advances in the development of instructional interventions, many students with significant learning problems do not benefit from them. This includes 25% to 50% of students with learning disabilities (LD). In this article, we identify five limitations of current instructional programs that may help to explain students' inadequate…

Responsiveness to Intervention (RTI) is widely understood as representing a multilevel framework that integrates assessment and instruction to provide strong early intervention and valid methods of disability identification. There are currently many approaches to RTI, which are creating confusion among educators as they try to conceptualize,…

This article introduces a framework for the remediation of number combination (NC) deficits. Research on the remediation of NC deficits is summarized, and research program studies are used to illustrate the 3 approaches to remediation. The Framework comprises a 2-stage system of remediation. The less intensive stage implementing 1 of 3…

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…

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…

The article describes a procedure for teaching sound-letter relations and sound blending through a verbal/gestural prompting system and a variation of melodic intonation therapy (in which students learn simultaneously to talk and hum a monotone note). The three-step procedure features demonstration, prompting, and practice. (CL)

Reviews the research on instructional adaptations in mathematics used by general educators with students having learning disabilities. After a summary of levels and types of instructional adaptation, the article reviews methods for extending adaptation strategies and studies of teachers' planning methods and associated learning outcomes for…

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…

The introduction to the special section introduces three papers and two commentaries originally presented at the 1989 Project Directors' Meeting of the Federal Office of Special Education Programs panel discussion focusing on the importance of individual differences and critical methodological and conceptual considerations. (DB)