This video shows how manipulatives can be used to explain subtraction using a part-part-whole structure.
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This video illustrates how manipulatives can be used to show the relation between strategies for subtraction and addition.
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 division problems that have a fair-share or equal partition problem structure. This example demonstrates how manipulatives can be used to show how repeated subtraction (i.e., when the whole is decreased iteratively by equal sets) can be used in division to determine the size of the equal set. When students have many practice opportunities to solve division problems with strategies such as repeated subtraction, they develop a solid conceptual understanding that division represents partitioning a quality into groups of equivalent sets.
This video shows how manipulatives can be used to explain division problems that have a fair-share or equal partition problem structure. This example demonstrates how manipulatives can be used to show how repeated subtraction (i.e., when the whole is decreased iteratively by equal sets) can be used in division to determine the size of the equal set. When students have many practice opportunities to solve division problems with strategies such as repeated subtraction, they develop a solid conceptual understanding that division represents partitioning a quality into groups of equivalent sets.
This video shows how manipulatives can be used to explain that multiplication represents groups of equal sets of numbers.
This video illustrates the use of scaffolding with manipulatives to teach students to group objects by tens with counting by ones.
The purpose of this brief from the National Center for Systemic Improvement is to synthesize research on coaching and to offer a framework of effective coaching practices. Part 1 provides general information on coaching, including the need for coaching and the goals of coaching. Part 2 describes critical coaching practices that are linked to improvements in teacher practice and learner outcomes. As these practices are most associated with such improvements, they are the recommended practices that should be central to the every-day routine of coaches working in general education or special education settings, as well in environments (e.g., homes, schools, childcare centers) with learners of all ages. Appendix A contains information about various coaching models commonly cited in research and applied in the field (e.g., literacy coaching, behavior coaching, math coaching).
The purpose of this implementation guide from the National Center for Systemic Improvement is to help practitioners systematically implement effective coaching practices. This guide outlines key questions to consider when using coaching as a pathway toward improving teaching and learning. Further, the guide specifies actions that should be taken to appropriately structure the system in which coaching occurs. Consideration of these questions and completion of these actions may help coaching achieve its intended goals and become a sustainable component of the learning environment.
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