The present study summarized three studies of schema-based instruction (SBI), a research-based Tier 1 mathematics program implemented in general education classrooms. We evaluated the efficacy of SBI in improving the mathematics achievement of seventh-grade students, including students with or at risk for mathematics disabilities (MD). The three…

Competence with fractions is foundational to acquiring more advanced mathematical skills. However, achieving competency with fractions is challenging for many students, especially for those with mathematics learning difficulties who often lack foundational skill with whole numbers. Teaching fractions is also challenging for many teachers as they…

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…

The current study focuses on the effects of incorporating multiple visual representations on students' conceptual understanding of quadratic expressions embedded within area word problems and students' procedural fluency of transforming quadratic expressions in standard form to factored-form and vice versa. The intervention included the…

This study compared how students with learning difficulties in math (MLD) who were randomly assigned to two instructional conditions answered items on problem solving tests aligned to the Common Core State Standards Initiative for Mathematics. Posttest scores showed improvement in the math performance of students receiving Enhanced Anchored…

The authors completed a narrative review of studies of mathematics interventions from 1996 to 2010 for helping elementary school students with difficulties in mathematics solve word problems. Key instructional components supported by research are teaching cognitive and metacognitive skills; schema-based instruction focusing on semantic analysis,…

Computer-based instruction (CBI) programs have been implemented in classrooms for almost three decades. One advantage of CBI includes allowing the user to tailor instruction to their particular style of learning (Slavin & Lake, 2009). An essential part of individualizing CBI involves the students use of active electronic support tools, which…

Research in the area of elementary mathematics has been limited in recent years. Direct instruction methods, including drill tasks, have been recommended for elementary students who have mathematics difficulties. This project involves two studies that examined the effectiveness of a specific direct instruction intervention, Folding-In, on the math…

The benefits of multisensory instruction for teaching mathematics to students in resource rooms were explored. Participants were third and fourth graders (n = 12) in 3 resource rooms for replacement mathematics in a middle-class school district in New Jersey. The students received weekly instruction for several months, using manipulatives and word…

A study of 125 elementary students with and without learning disabilities compared effects of concrete to semiconcrete to abstract (CSA) instruction in fraction concept and skills to instruction that was based on textbook curriculum. Students taught fraction concepts and skills in a CSA sequence performed significantly better. (Author/CR)

Eleven students (ages 9-14) enrolled in self-contained special education classrooms received math instruction via the Interactive Unit. The Interactive Unit is an instructional system involving 16 combinations of teacher-pupil-material interactions, calling for various teacher inputs and student outputs. Significant differences were detected…

This article argues that the reason the mathematics performance of students with mild disabilities is so limited is the mathematics. Using illustrations from subtraction, the article proposes number sense be a primary goal and that within the realm of number sense, big ideas be included among the dependent variables. (Contains references.)…

This is the second of two papers that propose an expanded and enriched view of arithmetic problem solving by stressing the need to provide learning activities that include problems of varying structures. The first paper included a framework for the enhancement of text-based problems. This second paper proposes a scheme for the development of…

This is the first of two papers that develop a framework and encourage discussion of research and programmatic concerns on arithmetic word problem solving. The two papers include a comprehensive framework for expanding the traditional three to five sentence word problem into a scheme that assures problems will be of a variety of structures and…