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.
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The purpose of this module is to review how to implement the Early Numeracy Intervention, a validated intervention program that can be used for Tier 2 math intervention, or as an intensive intervention platform within DBI.
Progress monitoring is an essential part of a multi-tiered system of supports (MTSS) and, specifically, the data-based individualization (DBI) process. It allows educators and administrators to understand whether students are responding to intervention and if adaptations are needed. In addition, these data are often used to set high-quality academic and behavioral goals within the individualized education program (IEP) for students with disabilities. With the closure of schools due to the COVID-19 pandemic, educators and administrators need to rethink how they collect and analyze progress monitoring data in a virtual setting. This collection of frequently asked questions is intended to provide a starting place for consideration.
This module discusses approaches to intensifying academic interventions for students with severe and persistent learning needs. The module describes how intensification fits into DBI process and introduces four categories of intensification practices. It uses examples to illustrate concepts and provides activities to support development of teams’ understanding of these practices, and how they might be used to design effective individualized programs for students with intensive needs.
This video reviews key vocabulary related to fractions. It is important that teachers model the use of precise mathematical language so that students understand how to use correct vocabulary and can accurately communicate their ideas and solutions strategies related to fractions.
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.
This toolkit provides activities and resources to assist practitioners in designing and delivering intensive interventions in reading and mathematics for K–12 students with significant learning difficulties and disabilities. Grounded in research, this toolkit is based on the Center on Instruction’s Intensive Interventions for Students Struggling in Reading and Mathematics: A Practice Guide, and includes the following resources:
This video shows how to use the set model to represent the fraction 3/4 with two-colored counting chips and clips. Individual chips within the set, represent the fractional parts. It is important that students be exposed to the set model because fractions in real-world settings are often represented this way.
This video demonstrates how to use fraction circles to help students compare the value of several fractions with different numerators and denominators. The use of direct modeling with concrete manipulatives, such as fractions circles, allows students to develop conceptual understanding of fractions before they attempt to compare fractions without concrete manipulatives or pictorial representations. After students have had multiple opportunities to practice comparing fractions with concrete manipulatives, they may be ready to use other strategies such as mental images and reasoning strategies.