In Module 8 of the Intensive Intervention in Mathematics Course Content we highlight the necessity for implementing evidence-based practices with fidelity. We also explain how to make adaptations to the instructional platform when students demonstrate inadequate progress. We finish this module by putting all the information learned across modules together with the intensive intervention framework.
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This video describes how to use the partial sums strategy with addition. The problem in this video requires regrouping; however, the partial sums strategy eliminates the regrouping procedure. The partial sums strategy is typically performed left to right and focuses on adding only part of each multi-digit number at a time (e.g., only adding digits in the hundreds column to determine the partial sum of hundreds, followed by only adding digits in the tens column to determine the partial sum of tens, and so on). It may be especially important for students to know and understand the partial sums strategies if they have not yet developed an understanding for regrouping. This strategy is also efficient when all or most of the numbers have the same number of digits.
The first module in the Intensive Intervention Math Course Content focuses on the mathematics content necessary to include within intensive intervention. This includes matching decisions about instruction and assessment to the mathematics content.
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 demonstrates two addition problem structures that students must understand to master basic facts. Each problem structure has three numbers, with one number missing.
This video demonstrates two subtraction problem structures that students must understand to master basic facts. Each problem structure has three numbers, with one number missing.
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 demonstrates how to use fraction tiles to convert mixed numbers to improper fractions. As students practice this process with fraction tiles, they will also gain fluency with determining different fractions that are equivalent to 1.
This video demonstrates how to use benchmark fractions, such as ½, to compare fractions with unlike denominators. When students show that they are proficient comparing fractions using concrete manipulatives or pictorial representations, they may be ready to compare fractions using reasoning strategies without representations. For beginners and for students who struggle, it may also be important for teachers to model to students how to check their work using other tools, such as fraction tiles.
This video demonstrates how students can practice determining equivalent fractions with different denominators using fraction circles. Students can explore this concept by comparing different representations of the same value against a whole fraction circle. After students have found one representation of the same fraction (3/6), teachers can encourage students to find another representation (4/8). Teachers can then ask students to discuss the patterns that they see in the different representations of the same value.