This video demonstrates how to use lattice multiplication. Although the lattice multiplication strategy eliminates regrouping while solving the problem, it requires careful construction of the lattice (it needs to be the correct size), correct placement of the numbers (above or below the lattice line), and a solid understanding of place value. The lattice strategy uses place value by partitioning multi-digit numbers into smaller parts and it may not be an efficient strategy for students to use if they do not understand how multiplication works. However, learning this strategy with whole numbers may benefit students as they begin to multiply decimals as lattice multiplication is an efficient tool to use with decimals.
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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 illustrates the use of manipulatives to help students develop understanding of the base-10 system.
This video illustrates the use of scaffolding with manipulatives to teach students to group objects by tens with counting by ones.
This video uses manipulatives to review the five counting principles including stable order, correspondence, cardinality, abstraction, and order irrelevance.
This video shows how manipulatives can be used to explain subtraction using a part-part-whole structure.
In this video, Dr. Lynn Fuchs, Nicholas Hobbs Professor of Special Education and Human Development at Vanderbilt University and Senior Advisor to the National Center on Intensive Intervention, shares considerations for adapting interventions when the validated intervention program wasn’t successful.
This video illustrates the use of manipulatives to help students practice counting skills such as identifying a set within a set of objects, correspondence, and counting on in order to determine the cardinality of a set of objects.
This video uses manipulatives to review common counting errors that many students who struggle with counting exhibit. When students make counting errors such as coordination errors, omission errors, and double counting errors, it suggests that they do not have a solid foundation of one-to-one correspondence with counting. Allowing students multiple opportunities to practice counting with a set of objects presented in a line will help students refine skills in correspondence. Students may also commit errors related to reciting the correct counting sequence. If students have not mastered the stable orders of numbers, they will not be able to correctly apply other counting skills; therefore, students should be provided with multiple opportunities to practice the verbal count sequence.
This video illustrates the use of manipulatives to help students practice counting skills such as correspondence and cardinality while applying a counting on strategy.