NCII developed a series of mathematics lessons and guidance documents to support special education instructors, mathematics specialists, and others working with students who struggle with mathematics. These lessons and activities are organized around six mathematics skill areas that are aligned to college– and career-ready standards, and incorporate several instructional principles that may help intensify and individualize mathematics instruction to assist teachers and interventionists working with students who have difficulty with mathematics.
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In this article, Dr. Jennifer Ledford shares information about single-case design research and how it relates to intensive intervention as well as resources from the Council for Exceptional Children Division for Research (CEC DR).
This collection highlights a sampling of articles focused on intensive intervention and data-based individualization (DBI). Although there is a wealth of research on key components of the DBI process (e.g., progress monitoring, validated intervention programs), this list is not intended to include articles that focus on specific steps in the DBI process, nor is it an exhaustive review of all available literature. In the list below, we highlight seminal research on DBI and articles published since 2011, when NCII was first funded.
In this video, Sarah Powell, Assistant Professor in the Department of Special Education at the University of Texas at Austin, discusses key considerations when teaching students with math difficulty.
This webinar challenges current thinking about how to set appropriately ambitious and measurable behavioral goals in light of the 2017 Endrew F. v. Douglas County School District decision by the United States Supreme Court. Dr. Teri A. Marx from the National Center on Intensive Intervention and the PROGRESS Center, as well as Dr. Faith G. Miller from the University of Minnesota—Twin Cities, share how to set ambitious behavioral goals for students by using a valid, reliable progress monitoring measure, and how to write measurable and realistic goals focused on the replacement behavior.
This video demonstrates how to use the set model to add fractions with unlike denominators. The set model allows students to easily find like denominators and manipulate pieces of the fraction in order to perform computation; however, using the set model in this instance does require many steps and students need to remember that whole is represented by a set of chips (in this case, 12 chips). Beginners and students who struggle may benefit from a visual checklist to use while performing addition of fractions with unlike denominators using the set model.
This video demonstrates how to use benchmark fractions, such as ½, to compare fractions with unlike denominators. When students show that they are proficient comparing fractions using concrete manipulatives or pictorial representations, they may be ready to compare fractions using reasoning strategies without representations. For beginners and for students who struggle, it may also be important for teachers to model to students how to check their work using other tools, such as fraction tiles.
This video shows how to use the set model to represent fractions, such as 1/2. In the set model, the whole is represented by a set of objects, such as two-colored chips. Individual chips within the set, represent the fractional parts. It is important that students be exposed to the set model because fractions in real-world settings are often represented this way.
This video demonstrates how to use fraction tiles to explore how different fractions can be equivalent to the same value, such as 1/5 and 2/10. It is important for students to understand that fractions have multiple representations because they can apply this knowledge to compare fractions, find common denominators, and perform computation with fractions.
This training module demonstrates how academic progress monitoring fits into the Data-Based Individualization (DBI) process by (a) providing approaches and tools for academic progress monitoring and (b) showing how to use progress monitoring data to set ambitious goals, make instructional decisions, and plan programs for individual students with intensive needs.