Access to seventh grade mathematics: A case study of two students with mild intellectual disability.

In the United States, students with mild intellectual disability (MID) are expected to access the general education curriculum and some of these students are required to pass the same high-stakes exams as students without disabilities. Research supports that students with MID can demonstrate success with mathematics after receiving interventions that emphasize the strategic use of visual representations. In this qualitative case study, the researchers describe the teaching methods of a seventh grade, special education teacher who heavily emphasized visuals, such as diagrams and gestures, in her instructional approach. In her classroom, two students with MID demonstrated the ability to solve and discuss algebra problems that required use of the distributive property and to solve word problems of the same structure.

Students with mild intellectual disability engaging in proportions word problems.

The researchers conducted a qualitative case study to describe the experiences of two seventh grade students with mild intellectual disability as they engaged in mathematics word problems involving proportions. The researchers analyzed student performance in large group settings and with individualized instruction to gain perspective on the students' tendencies with challenging mathematics content. During the teaching sessions in this study, one of the participants initially struggled with the proportions word problems, but demonstrated success after teachers connected new information in the tasks to students' long-term memory and utilized gestures and diagrams to facilitate the students' processing of information. Another participant succeeded more easily with proportions word problems which, along with the success of the other participant, provides support that students with a mild intellectual disability can succeed with challenging topics, such as proportions word problems.

Addressing the educational challenges of urban poverty: a case for solution-based research.

Introduction: Math achievement for economically disadvantaged students remains low, despite positive developments in research, pedagogy, and funding. In the current paper, we focused on the research-to-practice divide as possible culprit. Our argument is that urban-poverty schools lack the stability that is necessary to deploy the trusted methodology of hypothesis-testing. Thus, a type of efficacy methodology is needed that could accommodate instability. Method: We explore the details of such a methodology, building on already existing emancipatory methodologies. Central to the proposed solution-based research (SBR) is a commitment to the learning of participating students. This commitment is supplemented with a strength-and-weaknesses analysis to curtail researcher bias. And it is supplemented with an analysis of idiosyncratic factors to determine generalizability. As proof of concept, we tried out SBR to test the efficacy of an afterschool math program. Results: We found the SBR produced insights about learning opportunities and barrier that would not be known otherwise. At the same time, we found that hypothesis-testing remains superior in establishing generalizability. Discussion: Our findings call for further work on how to establish generalizability in inherently unstable settings.