NCII developed a series of mathematics lessons and guidance documents to support special education instructors, mathematics specialists, and others working with students who struggle with mathematics. These lessons and activities are organized around six mathematics skill areas that are aligned to college– and career-ready standards, and incorporate several instructional principles that may help intensify and individualize mathematics instruction to assist teachers and interventionists working with students who have difficulty with mathematics.
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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.
Module 5 begins a series of modules on the topic of explicit instruction. Explicit instruction is about modeling and practicing to help students reach academic goals. Throughout the module, educators will learn how selecting an important objective and learning outcomes, designing structured instructional experiences, explaining directly, modeling the skills being taught and providing scaffolded practice to achieve mastery can be used within the DBI framework to support instruction.
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.
Module 8 is the fourth module in a set of four course modules focused on explicit instruction. This module reviews explicit instruction and the supporting practices. It includes a number of opportunities to view and evaluate lesson examples, apply what was learned, and self-reflect.
This activity was developed by Tammy Moran a special education teacher in Ferris Independent School District. In this lesson, she illustrates the use of the Understand-Plan-Solve-Evaluate (UPSE) Method. This method is a problem-solving strategy that can be used to support students struggling with word problems. The lesson can be used synchronously or asynchronously and does not require using multiple platforms. This collection includes a tip sheet, a video example, slides to facilitate the lesson, a UPSE template, and reflection questions.
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.