This video demonstrates two addition problem structures that students must understand to master basic facts. Each problem structure has three numbers, with one number missing.
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This video demonstrates how to use base-10 blocks to help students solve division problems that cannot be solved with automatic retrieval. The use of direct modeling with concrete manipulatives to demonstrate division allows students to visualize the division of a quantity into equal groups. Students should have multiple opportunities to practice division with manipulatives to develop an understanding of the steps for regrouping and dividing quantities into equal groups. While students may have moved on to traditional algorithms with other operations (e.g., subtraction) they may still require the use of concrete manipulatives with learning division.
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.
This video demonstrates how to use base-10 blocks to help students solve multiplication problems that cannot be solved with automatic retrieval.
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 illustrates how to use the traditional addition algorithm with regrouping.
This video describes how to use the partial sums strategy with addition. The problem in this video requires regrouping; however, the partial sums strategy eliminates the regrouping procedure. The partial sums strategy is typically performed left to right and focuses on adding only part of each multi-digit number at a time (e.g., only adding digits in the hundreds column to determine the partial sum of hundreds, followed by only adding digits in the tens column to determine the partial sum of tens, and so on). It may be especially important for students to know and understand the partial sums strategies if they have not yet developed an understanding for regrouping. This strategy is also efficient when all or most of the numbers have the same number of digits.
What is an evidence-based practice? How do I know if evidence shows that a practice will be right for my students? Many practitioners ask these critical questions every day as they are faced with making decisions regarding how to best meet the needs of their students.
This video reviews to how use the traditional algorithm to solve multiplication with regrouping.
This report from Jobs for the Future and Authored by Sharon Vaughn, Lou Danielson, Rebecca Zumeta Edmonds, and Lynn Holdheide, 1) reviews previous efforts to promote better educational outcomes for students with disabilities, 2) describes research-based instructional strategies that can support them and other struggling learners, and 3) shares the kinds of policies and local resources needed to ensure that all young people have meaningful opportunities to learn deeply and become truly prepared to succeed in college, careers, and civic life.