This video illustrates how to use the traditional addition algorithm with regrouping.
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This video demonstrates how to use base-10 blocks and a place value chart to help students subtract multi-digit numbers that require regrouping.
This video demonstrates how to use base-10 blocks to help students solve multiplication problems that cannot be solved with automatic retrieval.
This video illustrates the use of manipulatives to help students develop fluency in counting by tens and ones.
This video illustrates the use of manipulatives to help students integrate the concept of counting by ones with skill in grouping by tens.
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.
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.
This video illustrates the use of manipulatives to help students practice correspondence and tracking objects as objects are counted in different ways. When children understand that objects may be counted in any order (e.g., left-to-right, right-to-left, in a random fashion) they have developed an understanding of the order irrelevance counting principle. Counting objects in many different ways also allows students to practice tracking objects as the objects are counted to make sure that each objects is counted once and only once, regardless of the order in which the object is counted.
This video illustrates the use of manipulatives to help students practice number relations skills. When numbers are represented with manipulatives as sets, students develop a concrete understanding for comparing quantities. Students must possess a deep understanding of number relation skill including identifying more, less, and equal quantities prior to mastering higher-level skills such as number operations.
This video shows how to use an area model to solve a multi-digit multiplication problem. An area model can serve as a visual representation of the partial products multiplication strategy. Using an area model may be a good option for students who have not yet gained a conceptual understanding of how regrouping works or how the partial products strategy works. The area model method can serve as a visual guide for students until they are ready to use traditional algorithms.