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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NCII provides a series of reading lessons to support special education instructors, reading interventionists, and others working with students who struggle with reading. These lessons, adapted with permission from the Florida Center for Reading Research and Meadows Center for Preventing Educational Risk, address key reading and prereading skills and incorporate research-based instructional principles that can help intensify and individualize reading instruction.
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.
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 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.