This video illustrates the use of manipulatives to help students practice counting skills such as correspondence and cardinality. When students practice counting with manipulatives they learn to recognize that number names are stated in a standard order, each number word is paired with one and only one object, and the last number stated in the sequence tells the number of total objects counted in the set. It is important for students to master skills such as correspondence and cardinality, because a strong foundation in counting is necessary for students to learn other skills such as number relations.
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In this video, Dr. Steve Goodman, Director of Michigan's Integrated Behavior and Learning Support Initiative, discusses the benefits of embedding intensive intervention within a multi-tiered system of support.
In this video, Lucille Eber, E.D., Statewide Coordinator of Illinois’ Emotional and Behavioral Disabilities (EBD) Network and an NCII Advisory Committee member, discusses the relationship between Tier II and Tier III behavior interventions and whether all kids need to access Tier II prior to Tier III.
In this video, Dr. Joe Wehby, Senior Advisor to the National Center for Intensive Intervention and Associate Professor in the Vanderbilt University Department of Special Education, discusses the number of data points needed to make decisions for students with intensive behavior needs.
This video illustrates how to use the partial quotient strategy to divide. To correctly use the partial quotient strategy, students need to have strong recall skills in division and multiplication facts. Students rely on this knowledge to partition the larger quantity that is being divided, into smaller and more manageable numbers. The partial quotient strategy is an alternative strategy for students who have not yet mastered the steps of the traditional algorithm.
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 multiplicative problem structures to students who are just beginning to use multiplication strategies.
This video illustrates how manipulatives can be used to show the relation between strategies for subtraction and addition.
This video shows how manipulatives can be used to explain subtraction using a part-part-whole structure.
This video demonstrates two subtraction problem structures that students must understand to master basic facts. Each problem structure has three numbers, with one number missing.