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.
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This video illustrates how to use the traditional addition algorithm with regrouping.
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 manipulatives can be used to explain multiplicative problem structures to students who are just beginning to use multiplication strategies.
This video shows how manipulatives can be used to explain multiplicative problem structures to students who are just beginning to use multiplication strategies.
This module is designed for interventionists, special educators, and general educators to review instructional strategies that students with mathematics difficulties need to be successful in both core instruction and intervention. Students with mathematics difficulties may make progress in intervention but still struggle in core because there is often not a bridge or support to show how the intervention connects to core. This module addresses these needs and identifies how all teachers need to support generalization and build upon mathematics trajectories for students to be successful.
In Module 8 of the Intensive Intervention in Mathematics Course Content we highlight the necessity for implementing evidence-based practices with fidelity. We also explain how to make adaptations to the instructional platform when students demonstrate inadequate progress. We finish this module by putting all the information learned across modules together with the intensive intervention framework.
This video illustrates how manipulatives can be used to show the relation between strategies for subtraction and addition.
This module is intended to help educators and administrators understand the dimensions of the Taxonomy of Intervention Intensity and how it can be used to select, evaluate, and intensify interventions.
In Module 3 of the Intensive Intervention in Mathematics Course Content we emphasize the necessity for using evidence-based interventions or strategies as the starting point of instruction within intensive intervention. In this module, educators will learn about: (1) The umbrella term of evidence-based practices and different types of evidence-based practices; (2) Where to locate evidence-based practices; (3) How to design the instructional platform for use within intensive intervention.