Mathematics learning is illustrated as a developmental progression in the direction of concrete-to-abstract by educational theorists. Various studies rooted in this notion were conducted in the past. This study aimed to profile the landscape of research rooted in this notion which was published from 1968 to 2021. The bibliographic data of 425…

This narrative review provides an overview of the research literature on the effectiveness of mnemonics in mathematics instruction for students with learning disabilities in a K-12 classroom. Eleven studies were identified in refereed journal articles and doctoral dissertations from 1975 to December 2018 that met the inclusion criteria. Overall…

Although approximately 5-8% of students have a mathematical learning disability (MLD), researchers have yet to develop a consensus operational definition. To examine how MLD has been identified and what mathematics topics have been explored, the authors conducted a systematic review of 165 studies on MLD published between 1974 and 2013. To move…

Many studies of school achievement find a significant association between reading and arithmetic achievement. The magnitude of the association varies widely across the studies, but the sources of this variation have not been identified. The purpose of this paper is to examine the magnitude and determinants of the relation between arithmetic and…

This article reviews recent research in math problem solving for students with learning disabilities. Two recently published syntheses of research on mathematics by the Institute of Education Sciences (IES) are used as frameworks for interpreting this body of work. A significant amount of the work in special education over the last decade is…

Children with learning disabilities face problems in acquiring the basic skills needed for learning. Dyscalculia is one among those learning disorders which affects the ability to acquire arithmetic skills that are needed to perform mathematical calculations. However this is a learning difficulty which is often not recognized. The objectives of…

Background: There is increasing interest in applying neuroscience findings to topics in education. Purpose: This application requires a proper conceptualization of the relation between cognition and brain function. This paper considers two such conceptualizations. The area focus understands each cognitive competency as the product of one (and only…

The article discusses the arithmetic achievement deficits of learning disabled students, cites research on cognitive factors involved, reviews the neurological evidence, and describes orientations focusing on cognitive psychology and the instructional context. Recent findings of an arithmetic task force from Columbia University are summarized. (CL)

The review examines cognitive strategy training and self-instructional training with learning disabled children. Discrepancies between potential and performance, cognitive behavior modification, the promotion of active self-regulatory learning styles in arithmetic and reading, and methodological issues and future directions are discussed.…

The following two changes in conceptualizing learning difficulties are occurring: (1) a shift from identifying deficits to focusing on assessing knowledge and (2) the use of diagnoses that are more dynamic and domain specific. This article illustrates how these changes relate to knowledge of the learning process and to better instruction.…

An overview is provided of the current literature on mathematical learning of children with a learning disability. Mathematics for the population viewed is seen to mean mainly arithmetic. It is felt more research is clearly needed on teaching arithmetic to children with a learning disability. (MP)

The authors review literature on conventional and special approaches to arithmetic instruction with emphasis on applying these approaches to the teaching of elementary learning disabled students with disorders in the area of arithmetic. Section I focuses on the instructional context of arithmetic. It is suggested that generalization teaching…

Outlined are the weaknesses of traditional, norm-referenced tests which fail to help in making instructional decisions. Presented is a step-by-step series of operations for analyzing and categorizing arithmetic errors, for selecting corrective strategies, and for applying peer-referenced standards to judge the performance of special needs…

This article provides an overview of the nonverbal learning disabilities (NLD) syndrome and describes appropriate educational strategies. Primary characteristics of NLD and possible indicators are listed. Remedial, compensatory, instructional or therapeutic interventions are listed for psychomotor and perceptual motor deficits, for arithmetic…

Insights from both cognitive psychology and learning disabilities intervention research are presented to improve understanding of the processes by which number fact fluency develops. Discussion includes assessment guidelines and learning strategies such as counting all, counting on, and alternative groupings. (Author/JDD)