These documents are intended to illustrate how college- and career-ready standards can be addressed across levels of a multi-tiered system of support (MTSS) or response to intervention framework in reading and mathematics. They provide examples of how to apply standards relevant instruction across core instruction (Tier 1), secondary intervention (Tier 2), intensive intervention (Tier 3) and for to support students with significant cognitive challenges.
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DBI Process
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This module discusses approaches to intensifying academic interventions for students with severe and persistent learning needs. The module describes how intensification fits into DBI process and introduces four categories of intensification practices. It uses examples to illustrate concepts and provides activities to support development of teams’ understanding of these practices, and how they might be used to design effective individualized programs for students with intensive needs.
This video reviews key vocabulary related to fractions. It is important that teachers model the use of precise mathematical language so that students understand how to use correct vocabulary and can accurately communicate their ideas and solutions strategies related to fractions.
This video shows how manipulatives can be used to explain division problems that have a fair-share or equal partition problem structure. This example demonstrates how manipulatives can be used to show how repeated subtraction (i.e., when the whole is decreased iteratively by equal sets) can be used in division to determine the size of the equal set. When students have many practice opportunities to solve division problems with strategies such as repeated subtraction, they develop a solid conceptual understanding that division represents partitioning a quality into groups of equivalent sets.
This video shows how manipulatives can be used to explain division problems that have a fair-share or equal partition problem structure. This example demonstrates how manipulatives can be used to show how repeated subtraction (i.e., when the whole is decreased iteratively by equal sets) can be used in division to determine the size of the equal set. When students have many practice opportunities to solve division problems with strategies such as repeated subtraction, they develop a solid conceptual understanding that division represents partitioning a quality into groups of equivalent sets.
These five screening one-page documents provide a brief overview of each of the NCII screening standards. They include a definition and information on why that particular standard is important for understanding the quality of screening tools.
This video shows how to use an area model to solve a multi-digit multiplication problem. An area model can serve as a visual representation of the partial products multiplication strategy. Using an area model may be a good option for students who have not yet gained a conceptual understanding of how regrouping works or how the partial products strategy works. The area model method can serve as a visual guide for students until they are ready to use traditional algorithms.
NCII, through a collaboration with the University of Connecticut, developed a set of course modules focused on developing educators’ skills in using explicit instruction. These course modules are designed to support faculty and professional development providers with instructing pre-service and in-service educators who are developing and/or refining their implementation of explicit instruction.
Diagnostic tools provide data to assist educators in designing individualized instruction and intensifying intervention for students who do not respond to validated intervention programs. Diagnostic tools can be either informal, which are easy-to-use tools that can be administered with little training, or standardized, which must be delivered in a standard way by trained staff. Teams may find it helpful to initially consider using more informal and easily accessible diagnostic tools and data to avoid loss of instructional time. Standardized diagnostic tools, which require more time to administer and interpret, may be required for students who continually demonstrate a lack of response or who require special education.
This video demonstrates how to use fraction tiles and the set model to convert mixed numbers to improper fractions. It is important that students have the opportunity to convert fractions using both models of representation.
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