Whole Number Content for Intensive Intervention
Whole Number Content for Intensive Intervention
Intensive Intervention in Mathematics Course: Module 6 Overview
In Modules 4 and 5, we emphasized important instructional delivery methods and strategies to include when providing instruction within intensive intervention. Modules 6 and 7 focus on important concepts and procedures for whole numbers (Module 6) and rational numbers (Module 7) teachers may find important for being able to explain mathematics to students. In Module 6, we focus on whole number concepts and computation. In this module, educators will learn about:
- How to explain the meanings of addition, subtraction, multiplication, and division
- Different computational algorithms for the four operations
- How effective whole-number instruction looks within intensive intervention
This module is divided into three parts, with an introduction and closing. A 508 compliant version of the full PowerPoint presentation across all parts of the module is available below.
Complete Slide Deck (508 compliant)
For questions related to course content, please contact ncii@air.org
Introduction
This video introduces Module 6 and provides an overview of the module content and related activities.
Related Videos
Part 1: What whole-number core concepts should be emphasized in intensive intervention?
Part 1 reviews the different conceptual meanings of the four operations. Teachers learn addition as total and join; subtraction as separate and compare; multiplication as equal groups and comparison; and division as partitive and measurement. These concepts relate closely to the word-problem schemas of Module 5.
Worksheets & Activities
Activity 1 - Describe Addition and Subtraction
Activity 2 - Describe How a Student Thinks About Addition and Subtraction
Activity 3 - Describe Multiplication and Division
Activity 4 - Describe Concepts within Multiplicative Word Problems
Part 2: What whole-number procedures should be emphasized in intensive intervention?
Part 2 emphasizes place value and computation. Teachers review appropriate place value language. Teachers also learn various algorithms students can use to solve addition, subtraction, multiplication, and division computation problems.
Worksheets & Activities
Activity 5 - Solve Addition and Subtraction Problems with Two Different Algorithms
Activity 6 - Solve Multiplication and Division Problems with Two Different Algorithms
Activity 7 - Use Two Different Schemas to Describe a Multiplicative Word Problem
Discussion Board – Teach a Multi-Digit Operation
Part 3: What does DBI look like with intensive interventions that focus on conceptual and procedural understanding of whole numbers?
Part 3 provides video and intervention examples of intensive intervention on whole-number content. Teachers review several videos to see how teachers use explicit instruction, multiple representations, and concise language to teach about whole numbers. Teachers also read an excerpt from an evidence-based intervention focused on whole numbers to identify how instructional delivery (Module 4) and strategies (Module 5) work together within intensive intervention.
Worksheets & Activities
Activity 8 - Identify Components of an Intervention Lesson on Computation
Discussion Board – Non-Standard Algorithms
Related Videos
Closing: What are the next steps?
The closing video reviews the content covered in the module and concludes with a classroom application activity.
Worksheets & Activities
Classroom Application: Modeling Whole Number Concepts and Procedures
Coaching Materials and Facilitation Guide
"Coaching/Facilitator Guide" helps facilitate implementation, reflection, and feedback. It is intended for use by external (i.e., SEA or LEA staff, faculty, project-based coaches) or internal (i.e., school-based instructional coaches) coaches working directly with in-service educators who are learning and practicing the course content. Additionally, materials within the coaching/facilitator guide can be adapted by faculty as they prepare pre-service educators. The goal for coaching/facilitation is to ensure that educators are practicing the content they are learning and receiving feedback to improve their instruction. Included in this guide are: (a) sample communication emails, (b) a master checklist, (c) a discussion guide with important talking points, and (d) a fidelity form that can be completed by a coach/facilitator when observing classroom instruction.
