This video illustrates the use of manipulatives to help students practice correspondence and tracking objects as objects are counted in different ways. When children understand that objects may be counted in any order (e.g., left-to-right, right-to-left, in a random fashion) they have developed an understanding of the order irrelevance counting principle. Counting objects in many different ways also allows students to practice tracking objects as the objects are counted to make sure that each objects is counted once and only once, regardless of the order in which the object is counted.
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This video illustrates the use of manipulatives to help students practice number relations skills. When numbers are represented with manipulatives as sets, students develop a concrete understanding for comparing quantities. Students must possess a deep understanding of number relation skill including identifying more, less, and equal quantities prior to mastering higher-level skills such as number operations.
This video illustrates the use of manipulatives to help students practice solving story problems that require the use of counting skills such as correspondence, cardinality, and counting on. When students practice solving story problems with manipulatives, they are able to apply mathematics skills, such as counting, in a real-world context. The application of strategies and skills in a real-world context makes learned mathematics knowledge meaningful.
This video illustrates the use of manipulatives to help students practice counting skills such as correspondence and cardinality while applying a counting on strategy.
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.
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.
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 shows how to use the traditional division algorithm. Unlike other traditional algorithms used with addition, subtraction, and multiplication, the traditional algorithm used for division requires that students move left to right. The traditional division algorithm is very efficient to use and can be used with numbers of varying digit length. Although efficient, correct use of the traditional algorithm requires that students have strong basic fact recall (i.e., with multiplication facts and subtraction) and that students have a firm understanding of place value. Related Resources View other videos in this series.