Manipulative-based instructional sequences--including both concrete and virtual manipulative instructional sequences--are evidence-based or research-based mathematical interventions for students with disabilities. However, as options for manipulative-based instructional sequences increase, educators need support in deciding the best approach. In…

Mathematical problem solving is a complex cognitive activity, which poses difficulties for students with and without disabilities in inclusive learning environments. With a variety of functions, Learning Management Systems (LMSs) have the potential to enhance personalized learning to meet the diverse needs of all students. This paper provides…

Although most students with specific learning disabilities (SLD) receive instruction in the general education setting (U.S. Department of Education, 2018), their academic outcomes have been found to be poor. Two evidenced-based practices that improve outcomes for students with SLD are explicit instruction and cognitive and metacognitive strategy…

Math fact fluency involves the quick, accurate retrieval of basic arithmetic combinations and the ability to use this fact knowledge efficiently. Math fact retrieval is typically considered fluent when performed accurately within 2 to 3 seconds, and "efficiency" refers to students' ability to apply fact knowledge to more complex…

Given the applicability of measurement to real-world problem solving and the importance of measurement understanding to accessing more advanced mathematics, improving instruction on foundational measurement skills for struggling learners is crucial. Although interventions targeting measurement have a smaller research base than other areas of…

As educators of students with autism, many teachers recognize that the day-to-day instruction is helping students learn skills to improve their quality of life, for today and in the long term. For those who teach young students, it may be difficult to project that far into the future; however, the reality is that educators want students with…

Nearly 63% of students with disabilities are included in general education classrooms for some part of their day, and at the high school level, 79% participate in state reading and math assessments (U.S. Department of Education, 2016). Middle and high school classes pose particular challenges because, unlike elementary classrooms, they are usually…

Many educators use informal math language to make the content more accessible for middle school students, yet this use of informal language may have unintended consequences. Informal language may hinder students' development of a deep math lexicon and understanding of concepts and procedures across grade levels. Becoming proficient with math…

Many general and special education teachers teach mathematics word problems by defining problems as a single operation and linking key words to specific operations. Unfortunately, teaching students to approach word problems in these ways discourages mathematical reasoning and frequently produces incorrect answers. This article lists eight common…

Special educators can play an essential role in the development of students' understanding of and capacity to do mathematics. Whether a special education teacher's goal is to help kindergartners develop counting skills or to support 10th graders in constructing geometric proofs and whether instruction will occur in co teaching, consulting, or…

Proficiency in mathematics involves the seamless synchronization of conceptual understanding, procedural knowledge, computational fluency, and problem solving (NMAP, 2008). Clearly, fluency with mathematics facts is one element embedded within mathematical proficiency and important for students with disabilities to develop. As more and more…

Price comparison is a functional mathematics skill involving purchasing, use of money, and budgeting, with the goal of selecting the best deal based on a person's financial resources (Browder, Spooner, & Trela, 2011). The operational definition of "price comparison" is to compare the magnitudes of the price numbers and then select…

It is understandable that misuse of the terms "specially designed instruction" (SDI), "high-leverage practices" (HLPs), "explicit instruction" (EI), and "intensive instruction"(II) has bred confusion among professionals, and this confusion may lead to miscommunication and misunderstandings in the field.…

Recent research has explored the efficacy of the CRA-I (concrete-representational-abstract) strategy with students with disabilities (Strickland & Maccini, 2012, 2013). The CRA-I strategy is a promising practice that special educators have used to teach algebra to students with high-incidence disabilities. The CRA-I strategy is a modification…

Fractions are troublesome for many children, especially students with learning difficulties and disabilities in mathematics. To address this serious educational concern, this article recommends the use of number lines to build fraction sense. Math activities that center on the number line build fraction concepts as early as third grade. A number…