This video illustrates the use of an efficient counting on strategy that students may practice to solve simple subtraction problems without the use of manipulatives.
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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 illustrates the use of finger counting to count by tens and ones.
This video illustrates the use of manipulatives to help students develop understanding of the base-10 system.
This video illustrates the use of manipulatives to help students practice comparing quantities that are grouped as tens and ones. When numbers are represented with manipulatives organized as tens and ones, students develop a concrete understanding for using place value to comparing quantities. Students also benefit from multiple opportunities to talk about mathematics and use appropriate mathematics vocabulary such as “greater than” and “less than.”
This video shows how manipulatives can be used to explain subtraction using a part-part-whole structure.
This video illustrates how manipulatives can be used to show the relation between strategies for subtraction and addition.
In this video, Dr. Joe Wehby, Senior Advisor to the National Center for Intensive Intervention and Associate Professor in the Vanderbilt University Department of Special Education, discusses the number of data points needed to make decisions for students with intensive behavior needs.
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 demonstrates how to use base-10 blocks and a place value chart to help students add numbers that require regrouping.