This video shows how manipulatives can be used to explain subtraction using a part-part-whole structure.
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In this video, Dr. Lynn Fuchs, Nicholas Hobbs Professor of Special Education and Human Development at Vanderbilt University and Senior Advisor to the National Center on Intensive Intervention, shares advice for teachers who are implementing intensive interventions with students who are not showing progress.
This video illustrates the use of an efficient counting on strategy that students may practice to solve simple subtraction problems without the use of manipulatives.
In this Voices from the Field piece, the National Center on Intensive Intervention (NCII) talks with Kaylan Connally from the Council of Chief State School Officers (CCSSO) to learn more about the Advancing Inclusive Principal Leadership (AIPL) State Initiative, which is a collaborative state effort to create and implement principal leadership plans focused on improving outcomes for every student, especially those with disabilities. She shares how the AIPL initiative can help states refine principal development supports to include an intentional focus on supporting the academic and social success of students with disabilities, including those in need of intensive intervention.
This video demonstrates how to use the set model to add fractions with unlike denominators. Students need to have the prerequisite conceptual knowledge of finding like denominators before they can apply addition strategies to fractions with unlike denominators. The set model is beneficial for students who do not have automaticity with mentally determining multiples because they can count and move pieces to determine a like denominator.
This video demonstrates how to use fraction tiles to add fractions with unlike denominators. Teachers should model how to find like denominators to solve addition problems and students who struggle may benefit from using a multiples chart. Students should also have many opportunities adding fractions that have a sum equal to or greater than 1.
This video demonstrates how to use fraction tiles to add fractions with unlike denominators. Teachers should model how to find like denominators to solve addition problems and students who struggle may benefit from using a multiples chart.
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 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.