This video illustrates the use of manipulatives to help students practice counting skills such as correspondence and cardinality. When students practice counting with manipulatives they learn to recognize that number names are stated in a standard order, each number word is paired with one and only one object, and the last number stated in the sequence tells the number of total objects counted in the set. It is important for students to master skills such as correspondence and cardinality, because a strong foundation in counting is necessary for students to learn other skills such as number relations.
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In this video, Michelle Hosp, Associate Professor in the College of Education at the University of Massachusetts Amherst discusses why your progress monitoring tool may not directly focus on the skills that you are teaching.
In this video, Dr. Rolland O’Connor, Professor in the Graduate School of Education at the University of California Riverside a member of the NCII Academic Intervention Technical Review Committee, addresses the implications of early reading research for understanding late-emerging reading disabilities, working with students learning English, and preparing teachers to have a strong grounding in the stages of reading development.
In this video, Dr. Sharon Vaughn, Senior Advisor to the National Center on Intensive Intervention and the Executive Director of The Meadows Center for Preventing Educational Risk, discusses intensive academic interventions and supplies up to date information about the status of research studies on the subject.
This video shows how to use the traditional division algorithm. Unlike other traditional algorithms used with addition, subtraction, and multiplication, the traditional algorithm used for division requires that students move left to right. The traditional division algorithm is very efficient to use and can be used with numbers of varying digit length. Although efficient, correct use of the traditional algorithm requires that students have strong basic fact recall (i.e., with multiplication facts and subtraction) and that students have a firm understanding of place value. Related Resources View other videos in this series.
This video illustrates how manipulatives can be used to show the relation between strategies for subtraction and addition.
This video demonstrates two subtraction problem structures that students must understand to master basic facts. Each problem structure has three numbers, with one number missing.
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.”
This video shows how manipulatives can be used to explain how different combinations of numbers make 10. When students practice putting together and taking apart numbers with manipulatives in different ways they develop a conceptual understanding for composing and decomposing and how numbers are related to one another. Understanding number combinations allows students to develop fluency skills with other operations and assists students with problem solving.
This video shows how manipulatives can be used to explain multiplicative problem structures to students who are just beginning to use multiplication strategies.