This video shows how manipulatives can be used to explain how different combinations of numbers make 10. When students practice putting together and taking apart numbers with manipulatives in different ways they develop a conceptual understanding for composing and decomposing and how numbers are related to one another. Understanding number combinations allows students to develop fluency skills with other operations and assists students with problem solving.
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Many students who require intensive intervention also are students with disabilities. Thus, when used school-wide, data-based individualization (DBI) can help school teams design and implement a prereferral process and high-quality special education services. Furthermore, DBI also provides schools with a validated approach for identifying and supporting students with severe and persistent learning and behavior problems, including students who may require special education. This is because the data collected through the DBI process can assist teams in assessing the need for specialized instruction, which is one of two requirements for determining eligibility for special education. In addition, data collected through the DBI process can support special education teachers in more accurately developing present levels, goals, and specialized instruction and support that will be included in the initial IEP.
In this article, Drs. Ketterlin Geller, Lembke, and Powell discuss how they are supporting educators to implement (1) the process of data-based individualization (DBI), (2) the principles of explicit and systematic instruction, and (3) key components of algebra readiness as part of Project STAIR (Supporting Teaching of Algebra: Individual Readiness).
NCII provides a series of reading lessons to support special education instructors, reading interventionists, and others working with students who struggle with reading. These lessons, adapted with permission from the Florida Center for Reading Research and Meadows Center for Preventing Educational Risk, address key reading and prereading skills and incorporate research-based instructional principles that can help intensify and individualize reading instruction.
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.
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).
DBI is a research-based process for individualizing and intensifying interventions through the systematic use of assessment data, validated interventions, and research-based adaptation strategies. DBI is the technical term for what many good teachers do naturally through the problem solving process: frequently review student data and make changes to their teaching based on what works for students. DBI, however, makes this process systematic, explicit, and tailored to meet the needs of individual students through a multi-step process that gradually intensifies instruction and support.
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.