This series of 22 videos provides brief instructional examples for supporting students who need intensive instruction in the area of fractions. Within college- and career-ready standards fractions are typically taught in Grades 3-5. Computation of fractions covers skills focused on building fractions from unit fractions—applying and extending operations of whole numbers. These videos may be used as these concepts are introduced, or with students in higher grade levels who continue to struggle with the concepts. Special education teachers, math interventionists, and others working with struggling students may find these videos helpful. Review of Fraction Vocabulary Adding Fractions with Like Denominators: An example with 1/8
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This video illustrates how manipulatives can be used to explain the commutative property of addition to students. Understanding that the order in which two numbers are added does not change the result supports basic fact fluency and students’ thinking related to problem solving. For example, when students understand how the commutative property works and if they have mastered a basic fact such as “3 + 1” then they have also mastered the basic fact of “1 + 3.”
In this video, Sarah Powell, Assistant Professor in the Department of Special Education at the University of Texas at Austin, discusses key considerations when teaching students with math difficulty.
This video illustrates the use of manipulatives to help students practice counting skills such as correspondence and cardinality. When students practice counting with manipulatives they learn to recognize that number names are stated in a standard order, each number word is paired with one and only one object, and the last number stated in the sequence tells the number of total objects counted in the set. It is important for students to master skills such as correspondence and cardinality, because a strong foundation in counting is necessary for students to learn other skills such as number relations.
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 advice regarding access to the general education curriculum for students with disabilities.
In this video, Mary Little, Professor and Program Coordinator of the Department of Child, Family, and Community Services at the University of Central Florida discusses why data and data-based decision making such a critical part of instruction and intervention.
This video illustrates the use of scaffolding with manipulatives to teach students to group objects by tens with counting by ones.
This video shows how manipulatives can be used to explain that multiplication represents groups of equal sets of numbers.
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 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.
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