It is important that the instructional practices and interventions delivered within a school’s multi-tiered system of support (MTSS) be grounded in evidence. However, the “practice” that happens within each tier is different; therefore, the type of evidence that is required for each tier also must be different. A useful way to think about evidence-based practices in MTSS is to think about levels of evidence that vary and correspond to the different levels of intervention intensity at each tier. In the tables below, find resources to support the selection and evaluation of Tier 1, Tier 2, and Tier 3 or intensive interventions.
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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.
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.
This video demonstrates how to use fraction tiles to convert mixed numbers to improper fractions. As students practice this process with fraction tiles, they will also gain fluency with determining different fractions that are equivalent to 1.
This video demonstrates how to use fraction tiles to convert improper fractions to mixed numbers. As students practice this process with fraction tiles, they will also gain fluency with determining different fractions that are equivalent to 1.
The Academic Progress Monitoring Tools Chart is comprised of evidence-based progress monitoring tools that can be used to assess students’ academic performance, to quantify a student rate of improvement or responsiveness to instruction, and to evaluate the effectiveness of instruction. The chart displays ratings on technical rigor of performance level standards (reliability and validity) and growth standards (sensitivity, alternate forms, and decision rules) and provides information on the whether a bias analysis was conducted, and key usability features. The chart is intended to assist educators and families in becoming informed consumers who can select academic progress monitoring tools that address their specific needs. The presence of a particular tool on the chart does not constitute endorsement and should not be viewed as a recommendation from either the TRC on Academic Progress Monitoring or NCII.
The Academic Screening Tools Chart is comprised of evidence-based screening tools that can be used to identify students at risk for poor academic outcomes, including students who require intensive intervention. The chart displays ratings on technical rigor in the areas of classification accuracy, reliability, and validity, and provides information on the representativeness of the sample, whether a bias analysis was conducted, and key usability features. The chart is intended to assist educators and families in becoming informed consumers who can select academic screening tools that address their specific needs. The presence of a particular program on the chart does not constitute endorsement and should not be viewed as a recommendation from either the TRC on Academic Screening or NCII.
NCII partnered with Project STAIR (Supporting Teaching of Algebra: Individual Readiness) to host a series of three webinars focused on implementing data-based individualization (DBI) with a focus on mathematics during COVID-19 restrictions.
This video demonstrates how to use fraction tiles to multiply a fraction and whole number. Students should have experience with determining the fraction of a whole (2 x 2/3) before being introduced to determining the fraction of a fraction (2/3 x 3/4). Before students multiply fractions, they should understand the concepts of repeated addition and grouping as it is used with multiplication of whole numbers. Teachers can model how to create equivalent groups (such as two groups of 2/3). Students can then use skills of addition and converting improper fractions to mixed numbers to find the product.
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