Competence with rational numbers is essential for mathematics proficiency in secondary mathematics. However, many students struggle with rational number concepts, and students with mathematics difficulties struggle even more. The purpose of this study was to examine the effects of an intervention that incorporated the use of explicit instruction…

State standards include fluent use of standard computational algorithms. However, learning and using them require conceptual understanding of numbers and operations. Previous research using the concrete--representational--abstract (CRA) sequence has been effective in teaching computational algorithms to students at risk of and students with…

We investigated the effect of conceptual transparency in the physical structure of manipulatives on place-value understanding in typically developing children and those at risk for mathematics learning disabilities. Second graders were randomly assigned to one of three manipulatives conditions: (a) attachable beads that did not make the…

The purpose of this systematic review was to examine the effectiveness of proportional reasoning interventions for students with learning disabilities (LD) or mathematics difficulty (MD). We evaluated fifth to ninth grade interventions on proportional reasoning content, instructional features, and disability and difficulty identification. The nine…

This pilot study examined the promise of a Tier 2 Grade 6 intervention program for students at risk for difficulties in mathematics. The study utilized a quasi-experimental design. The final sample included 112 students in treatment (Promoting Algebra Readiness) and 86 students in control (standard district practice) conditions. The Promoting…

Writing in science can be challenging for all learners, and it is especially so for students with cognitive or language-based learning difficulties. Yet, we know very little about how to support students with learning disabilities (LD) or who are English learners (EL) when asked to write for authentic purposes during science instruction.…

Documenting how students with learning disabilities (LD) initially conceive of fractional quantities, and how their understandings may align with or differ from students with mathematics difficulties, is necessary to guide development of assessments and interventions that attach to unique ways of thinking or inherent difficulties these students…

Implementing an integrated sequence of concrete-representational-abstract depictions of mathematics concepts (CRA-I) can improve the mathematics achievement of students with disabilities, and explicit instructional strategies involving problem-solving heuristics and student verbalizations can help facilitate students' conceptual understanding of…

Standardized assessment of content knowledge for STEM (Science, Technology, Engineering, Mathematics) topics is pervasive in both K-12 and postsecondary institutions. Yet, most instruments are developed with little to no validation for students with learning disability (LD), attention deficit hyperactivity disorder (ADHD), and autism spectrum…

Although many students struggle with fractions, students with mathematical learning disabilities (MLDs) experience pervasive difficulties because of neurological differences in how they process numerical information. These students make errors that are qualitatively different than their typically achieving and low-achieving peers. This study…

Twenty-three intermediate grade students (seven with learning difficulties) completed a concept mapping and vocabulary quiz, with instructions highlighting the value of learning goals or performance goals. Children with varying learning histories mediated in-school learning with qualitatively distinct epistemologies, and the "learning goals" task…

An information processing approach to the assessment of learning disabled students' intellectual performance is presented. The model is based on the assumption that intelligent behavior is comprised of a variety of problem- solving strategies. An account of child problem solving is explained and illustrated with a "thinking aloud" protocol.…

Evaluation of "Concept Diagrams" and a related "Concept Teaching Routine" used in nine secondary school classrooms which included 32 learning-disabled (LD) students, found that teachers successfully selected target concepts and implemented the teaching routine, whereas students (both LD and non-LD) demonstrated gains in concept acquisition,…

Findings were interpreted to mean that the BTBC can be used as a general estimate of cognitive ability. Canonical analysis of all variables revealed the presence of one common factor, language comprehension (Author)

LD readers' failures were associated with a greater number of word recognition and vocabulary errors suggesting that LD readers were unable to extract enough relevant information to apply a successful line of reasoning. For related information see EC 132 758-768. (Author)