This video illustrates the use of manipulatives to help students develop understanding of the base-10 system.
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DBI Process
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This video illustrates how to use the traditional algorithm to solve subtraction with regrouping. The traditional algorithm focuses on digit placement and requires that students move right to left to correctly perform the operation. Before students are introduced to the standard addition algorithm, it is important that they have a conceptual understanding of regrouping. This will allow students to correctly use the algorithm when they exchange 10 ones in the ones place value column with 1 ten in the tens place value column. It is important for students to know and understand how to use the traditional algorithm because it is an efficient strategy to use if regrouping is required, when numbers have varying numbers of digits, and when the numbers included are too large to reasonably use other strategies (e.g., partial differences can become confusing for students who do not understand negative integers).
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 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 that multiplication represents groups of equal sets of numbers.
This video illustrates the use of scaffolding with manipulatives to teach students to group objects by tens with counting by ones.
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 provide students with multiple opportunities to practice counting skills such as rote counting, correspondence, and cardinality.
In this video, Derrick Bushon, Director of Student Services for Swartz Creek Community Schools, discusses how his district took a systems approach to integrating DBI into schools.
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