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. Catherine Bradshaw, Associate Dean for Research for the Curry School of Education at the University of Virginia, Deputy Director of the Johns Hopkins Center for Prevention of Youth Violence, and Co-Director of the Johns Hopkins Center for Prevention and Early Intervention, discusses how PBIS can be combined with other programs, such as social-emotional learning curriculum, to support students.
This video demonstrates how to use base-10 blocks to help students solve division problems that cannot be solved with automatic retrieval. The use of direct modeling with concrete manipulatives to demonstrate division allows students to visualize the division of a quantity into equal groups. Students should have multiple opportunities to practice division with manipulatives to develop an understanding of the steps for regrouping and dividing quantities into equal groups. While students may have moved on to traditional algorithms with other operations (e.g., subtraction) they may still require the use of concrete manipulatives with learning division.
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.
In this video, Dr. Catherine Bradshaw, Deputy Director of the John Hopkins Center for the Prevention of Youth Violence and Co-Director of the John Hopkins Center for Prevention and Early Intervention, discusses PBIS, who it works for, and under what conditions it works best.
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.