A concerning number of students enter kindergarten facing an intractable variation of mathematics difficulties (MD). This study investigated the impact of an explicit, core kindergarten mathematics program on the mathematical outcomes of kindergartners who demonstrated risk for severe MD at kindergarten entry and examined whether these students…

Evidenced-based mathematics interventions are critical for supporting students with mathematics difficulties. In research and practice, collecting implementation fidelity is important for ensuring that all the core components of the intervention are implemented as designed. Historically, implementation fidelity has been defined as multifaceted,…

Group size and treatment intensity are understudied topics in mathematics intervention research. This study examined whether the treatment intensity and overall intervention effects of an empirically validated Tier 2 mathematics intervention varied between intervention groups with 2:1 and 5:1 student-teacher ratios. Student practice opportunities…

The purpose of this study was to determine the effectiveness of a systematic, explicit, intensive Tier 3 (tertiary) intervention on the mathematics performance of students in second grade with severe mathematics difficulties. A multiple-baseline design across groups of participants showed improved mathematics performance on number and operations…

Mathematical learning difficulty (MLD) is prevalent in the development of mathematical abilities. Previous interventions for children with MLD have focused on number sense or basic mathematical skills. This study investigated whether mathematical performance of fifth grade children with MLD could be improved by developing knowledge structures by…

This study examined the effect of schema-based instruction (SBI) on the proportional problem-solving performance of students with mathematics difficulties only (MD) and students with mathematics and reading difficulties (MDRD). Specifically, we examined the responsiveness of 260 seventh grade students identified as MD or MDRD to a 6-week treatment…

There exists a substantial number of studies that have identified a subset of low-achieving mathematics students who do not develop a reliance on retrieval for simple addition but who continue to use a counting strategy to solve these problems. There are few studies, however, that have focused on how retrieval of simple addition facts may be…

This article advocates an approach to supporting students who experience difficulties in learning, irrespective of nosology, particularly in the key areas of literacy and numeracy. In the state of Queensland, Australia, a distinction has been made between students' experiencing learning difficulties and those who have learning disabilities (LD).…

The teaching of mathematics in Australian schools has received considerable attention over the past decade. States and territories have designed and implemented new mathematics syllabi, and education sectors have supported teachers through sustained professional learning initiatives. Whereas the major focus of these initiatives has been on…

In this article, we provide an understanding of the term "numeracy" as it is used in Australia and a description of numeracy education in this country. In particular, we discuss the role of outcomes-based curriculum frameworks and outline the dominant teaching approaches. The focus is on students with learning difficulties and how they…

Science has been an important partner of the field of learning disabilities since its inception. Special educators have used science to confirm or reject approaches to identifying and teaching students with disabilities. Current research and practice is using science to find better approaches to preventing learning difficulties and reducing the…

This article explores the thinking of five junior high school teachers as they teach students with learning difficulties in inclusive classrooms. Insights into the ways these teachers think about students in these inclusive secondary school contexts were obtained through triangulating data from semistructured interviews, stimulated recall of…

The purpose of this pilot study was to assess the potential for computer-assisted instruction (CAI) to enhance number combination skill among children with concurrent risk for math disability and reading disability. A secondary purpose was to examine the effects of CAI on spelling. At-risk students were assigned randomly to math or spelling CAI,…