This video shows how manipulatives can be used to explain multiplicative problem structures to students who are just beginning to use multiplication strategies.
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Implementation Guidance and Considerations
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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.
This video shows how manipulatives can be used to explain that multiplication represents groups of equal sets of numbers.
This video illustrates the use of scaffolding with manipulatives to teach students to group objects by tens with counting by ones.
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.
Teachers often note that students struggle with the transition between core instruction and intervention in mathematics. Thus, the purpose of these curriculum crosswalks is to identify points of alignment and misalignment between commonly used mathematics intervention and core instructional materials, with a particular focus on mathematics practice standards and vocabulary. We offer recommendations for improving alignment to help students more successfully participate in math instruction across settings. Math Curriculum Crosswalk: Grade 1 Math Curriculum Crosswalk: Grade 2 Math Curriculum Crosswalk: Grade 3
The Taxonomy of Intervention Intensity (Fuchs, Fuchs, & Malone, 2017) can be used to select or evaluate an intervention platform used as the validated intervention platform or the foundation of the DBI process. It can also be used to guide the adaptation of intensification of an intervention during the intervention adaptation step of the DBI process. The Taxonomy includes the following dimensions:
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.