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.
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This video illustrates three different models for representing fractions: length, area, and set. Different concrete tools are available to illustrate the different fraction models including fraction tiles, fraction circles, Cuisenaire Rods, Geoboards, and different colored objects such as chips or clips. Many students struggle with fractions; for this reason, students should have multiple opportunities to explore fractions with a variety of models. When students understand how to use concrete models, they will develop the skills that are necessary to develop mental models and reasoning strategies related to fractions. Students should also have the opportunity to use different models to solve the same types of problems and discuss connections between the models.
This video demonstrates how to use fraction circles to compare the value of fractions with unlike denominators. This example compares 5/6 and 5/8. In this example students can see that 5/6 is greater than 5/8. This will help them understand that although 8 is larger than 6, sixths are larger than eighths in fractions. Using fractions circles allows students to develop a solid conceptual understanding of how to compare fractions correctly.
Data-based individualization (DBI) is a research-based process for individualizing and intensifying interventions through the systematic use of assessment data, validated interventions, and research-based adaptation strategies. This document introduces and describes the DBI process and how it can be used to support students who require intensive intervention in academics and/or behavior.
This video illustrates how to use the partial quotient strategy to divide. To correctly use the partial quotient strategy, students need to have strong recall skills in division and multiplication facts. Students rely on this knowledge to partition the larger quantity that is being divided, into smaller and more manageable numbers. The partial quotient strategy is an alternative strategy for students who have not yet mastered the steps of the traditional algorithm.
This video illustrates how manipulatives can be used to explain the commutative property of addition to students. Understanding that the order in which two numbers are added does not change the result supports basic fact fluency and students’ thinking related to problem solving. For example, when students understand how the commutative property works and if they have mastered a basic fact such as “3 + 1” then they have also mastered the basic fact of “1 + 3.”
The Academic Intervention Taxonomy Briefs provide educators with information they can use to evaluate the appropriateness of academic interventions available on the academic intervention tools chart for a specific student or group of students who require intervention. The information included in the briefs is organized along the seven dimensions of the Taxonomy of Intervention Intensity
In this video, Dr. Jade Wexler, Assistant Professor of Special Education at the University of Maryland, College Park discusses research and implementation challenges for implementing interventions to support students academically and behaviorally within incarcerated settings.
This module provides the foundational information for users interested in learning more about intensive intervention and the DBI process. The module defines intensive intervention and DBI, describes how intensive intervention fits within a tiered system such as MTSS, RTI, or PBIS, demonstrates how intensive intervention can provide a systemic process to deliver specialized instruction for students with disabilities, and provides two case examples to allow viewers to apply new knowledge.
This two page handout highlights how to use the Taxonomy of Intervention Intensity when selecting, evaluating, and intensifying interventions for students who are English learners (ELs). Specific considerations for ELs are provided across the dimensions of strength, dosage, alignment. attention to transfer, comprehensiveness, behavioral support, and individualization.