This video illustrates how to use the traditional algorithm to solve subtraction with regrouping. The traditional algorithm focuses on digit placement and requires that students move right to left to correctly perform the operation. Before students are introduced to the standard addition algorithm, it is important that they have a conceptual understanding of regrouping. This will allow students to correctly use the algorithm when they exchange 10 ones in the ones place value column with 1 ten in the tens place value column. It is important for students to know and understand how to use the traditional algorithm because it is an efficient strategy to use if regrouping is required, when numbers have varying numbers of digits, and when the numbers included are too large to reasonably use other strategies (e.g., partial differences can become confusing for students who do not understand negative integers).
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 collection highlights a sampling of articles focused on intensive intervention and data-based individualization (DBI). Although there is a wealth of research on key components of the DBI process (e.g., progress monitoring, validated intervention programs), this list is not intended to include articles that focus on specific steps in the DBI process, nor is it an exhaustive review of all available literature. In the list below, we highlight seminal research on DBI and articles published since 2011, when NCII was first funded.
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 video demonstrates how to use lattice multiplication. Although the lattice multiplication strategy eliminates regrouping while solving the problem, it requires careful construction of the lattice (it needs to be the correct size), correct placement of the numbers (above or below the lattice line), and a solid understanding of place value. The lattice strategy uses place value by partitioning multi-digit numbers into smaller parts and it may not be an efficient strategy for students to use if they do not understand how multiplication works. However, learning this strategy with whole numbers may benefit students as they begin to multiply decimals as lattice multiplication is an efficient tool to use with decimals.
In this video, Dr. Devin Kearns, an Assistant Professor of Special Education in the Department of Education Psychology at the Neag School of Education at the University of Connecticut and NCII Trainer & Coach, discusses importance of consistency when selecting, administering, and scoring progress monitoring tools.
This guide is intended to accompany the sample literacy lessons and activities on the NCII website. It is divided into four sections covering the five components of reading, instructional principles of reading instruction intervention, how to use the NCII reading lessons, and additional resources.
In this video, Rob Horner, Professor of Special Education at the University of Oregon and co-Director of OSEP Technical Assistance Center on PBIS and the OSEP Research and Demonstration Center on School-wide Behavior Support, discusses how data systems can be used within the context of intensive intervention.
This video demonstrates how to use different types of concrete manipulatives, such as fraction circles and Cuisenaire Rods, to compare fractions with like denominators. When students use models to compare fractions, they can place them side-by-side to determine which fraction represents a greater value. For students who struggle with visually comparing values, consider teaching them how to stack Cuisenaire Rods for a direct comparison. Note that, in this video with the fraction circles, the sets of fractions circles are not the same size. This may confuse some students, so it may be important to use identical sets of fraction circles.
This video illustrates the use of an efficient counting on strategy that students may practice to solve simple addition problems without the use of manipulatives. When students use a counting on strategy to solve an addition problem, they must be able to hold one number in working memory; however, an important working memory strategy to teach students and allow students to practice includes using fingers to track counting. Counting on is an efficient strategy that students may use to quickly determine the solution to an addition problem. With enough practice opportunities students will soon be able to perform simple arithmetic without the use of working memory strategies such as finger counting.