This is part 4 of the module, “Informal Academic Diagnostic Assessment: Using Data to Guide Intensive Instruction.” This part of the module is intended to provide participants with guidance for identifying skills to target in reading and math interventions.
Error message
The page you requested does not exist. For your convenience, a search was performed using the words in the page you tried to access.
Search
Resource Type
DBI Process
Subject
Implementation Guidance and Considerations
Student Population
Audience
Search
This module was adapted from a series of training modules developed by the National Center on Intensive Intervention (NCII) and is aimed at district or school teams involved in the initial planning for using data-based individualization (DBI) as a framework for providing intensive intervention in academics and behavior. The audience for this module may include school teams supporting academic intervention and progress monitoring in middle school mathematics.
This series of videos provides brief instructional examples for supporting students who need intensive instruction in the area of place value. Within college- and career-ready standards place value is taught in Kindergarten through Grade 5. These videos may be used as each concept is 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.
The Taxonomy of Intervention Intensity (Fuchs, Fuchs, & Malone, 2017) can be used to select or evaluate an intervention platform used as the validated intervention platform or the foundation of the DBI process. It can also be used to guide the adaptation of intensification of an intervention during the intervention adaptation step of the DBI process. The Taxonomy includes the following dimensions:
NCII, through a collaboration with the University of Connecticut, developed a set of course content focused on developing educators’ skills in designing and delivering intensive mathematics instruction. This content is designed to support faculty and professional development providers with instructing pre-service and in-service educators who are developing and/or refining their implementation of intensive mathematics intervention
This video demonstrates how to use fraction tiles and the set model to convert mixed numbers to improper fractions. It is important that students have the opportunity to convert fractions using both models of representation.
This video demonstrates how to use the set model to convert mixed numbers to improper fractions. It is important that students are exposed to converting fractions using this model because it is often how fractions are represented in the real world. Beginners and students who struggle may find the set model difficult to understand because the whole (1) is represented by a set of chips (4 chips in this example); therefore, students will benefit from explicit modeling and several opportunities to engage in guided and independent practice.
This video demonstrates different partitioning strategies that students can use to multiply fractions. Partitioning refers to dividing a shape, such as a rectangle, into equal pieces. In area models and length models, the total number of equally partitioned pieces represents the denominator of the product. Students can practice multiplying nonequivalent fractions using an area model without concrete materials, such as by creating a grid using paper and pencil, or with concrete materials such as fraction grids. Students should also have the opportunity to practice multiplication using fraction tiles and length model.
This video demonstrates how to use the set model to multiply equivalent fractions. Before students can multiple fractions they should understand the concepts of repeated addition and grouping as it is used with multiplication of whole numbers. Teachers should carefully model multiplication using the set model as students have to understand that when re-grouping the parts of the fractions, they need to keep the denominator the same. The set model is also a useful strategy for introducing how to multiply fractions that are not equivalent; so, students may benefit from multiple opportunities to practice with equivalent fractions first.
This video demonstrates how to use fraction tiles to multiply a fraction and whole number. Students should have experience with determining the fraction of a whole (2 x 2/3) before being introduced to determining the fraction of a fraction (2/3 x 3/4). Before students multiply fractions, they should understand the concepts of repeated addition and grouping as it is used with multiplication of whole numbers. Teachers can model how to create equivalent groups (such as two groups of 2/3). Students can then use skills of addition and converting improper fractions to mixed numbers to find the product.