This video illustrates the use of manipulatives to help students develop fluency in counting by tens and ones.
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This video illustrates the use of manipulatives to help students integrate the concept of counting by ones with skill in grouping by tens.
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 demonstrates how to use fraction tiles to explore how fractions such as 4/4 are equivalent to 1. Before fractions are introduced in the curriculum, students use integers, which only have one value associated with the numeral or number word. Fractions may be the first time that students are introduced to the possibility that the same quantity can be represented with different representations, such as one whole and four fourths. Using models allows students to practice finding equivalent fractions, which is a prerequisite skill for performing computation with fractions.
In this video, Mary Randel, a doctoral candidate in Special Education at Michigan State University & NCII Coach for the Swartz Creek School District, addresses the importance of ensuring that students with disabilities have access to supports across the tiers of a tiered frameworks, especially intensive intervention.
In this video, Dr. Luann Purcell, Chief Executive Officer of the Council of Administrators of Special Education and NCII Advisor, discusses how special educators can work collaboratively with general education teachers and staff to support students with persistent and severe learning and/or behavioral needs.
In this video, Dr. Evelyn Johnson, Associate Professor at Boise State University, discusses how data can be used to support eligibility decisions for students with disabilities.
In this video, Nicole Bucka, NCII coach and MTSS professional development provider for Rhode Island discuss lessons learned from implementing intensive intervention at the middle and secondary level.
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.
This video demonstrates how to use the lattice division strategy. The lattice division strategy eliminates the requirement to use automatic recall of facts, such as in the partial quotient strategy, but this strategy requires that students follow a very specific set of steps. Careful use of the lattice is required. The lattice strategy partitions numbers into smaller parts and it may not be an efficient strategy for students to use if they do not understand how division works. To use this strategy, students should have a solid understanding of place value and dividing large quantities in equal groups.