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.”
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This video demonstrates how to use base-10 blocks and a place value chart to help students add numbers that require regrouping.
This video illustrates the use of scaffolding with manipulatives to teach students to group objects by tens with counting by ones.
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.
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, Dr. Sharon Vaughn, Senior Advisor to the National Center on Intensive Intervention and the Executive Director of The Meadows Center for Preventing Educational Risk, discusses intensive academic interventions and supplies up to date information about the status of research studies on the subject.
In this video, Dr. Steve Goodman, Director of Michigan's Integrated Behavior and Learning Support Initiative, discusses the interaction of behavior and academics when providing intensive interventions.
In this video, Sandra Chafouleas, Professor of Educational Psychology in the Neag School of Education at the University of Connecticut, discusses the importance of progress monitoring in behavior and how it differs from screening and diagnostic assessment.
This webinar introduces the Taxonomy of Intervention Intensity as a method for systematically selecting an intensive intervention and guide teachers through modifying the intervention based on student need.
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.