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 illustrates the use of manipulatives to help students develop understanding of the base-10 system.
This video illustrates the use of finger counting to count by tens and ones.
This video illustrates the use of manipulatives to help students integrate the concept of counting by ones with skill in grouping by tens.
The Colorado Department of Education (CDE) has been working closely with NCII to align and scale up use of data-based individualization (DBI) across the state. One of the strategies CDE has used is the development of virtual learning resources and online learning modules on DBI to help make professional learning accessible to all educators. In this Voices from the Field video, Dr. Jason Harlacher and Veronica Fielder share CDE’s process for developing virtual learning modules on DBI and their strategies for ensuring the modules are accessible to educators.
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. 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.
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 features reflections from Bill Rasplica, the former executive director of Franklin Pierce Schools, about his experiences implementing DBI, lessons learned, and recommendations for other district leaders.
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.