Intentional Teaching
Recommended Practice: Provide explicit instruction and incorporate visual representations and motivational strategies.
- Overview & Tools: Video overviews and professional development materials
- Learn What Works: Expert interviews about intentional teaching
- See How It Works: Videos and sample materials from schools
The Instructional Process in Interventions
RtI Math > Intentional Teaching > Overview & Tools
The multimedia overview discusses characteristics of effective Tier 2 and Tier 3 instruction, offering examples of systematic and explicit instruction, guided practice, and feedback. It also...
Resource Type
Overview
Visual Representations
RtI Math > Intentional Teaching > Learn What Works
Dr. Witzel provides examples of each stage of the concrete-representational-abstract teaching sequence, with special attention to visual representation. He shows several types of representation,...
Resource Type
Expert Interview
Explicit Instruction
RtI Math > Intentional Teaching > Learn What Works
Dr. Witzel describes the components of explicit instruction, including modeling and demonstration, guiding and scaffolding practice, providing independent practice, and providing meaningful...
Resource Type
Expert Interview
Explicit Teaching in the Fifth-Grade Math Core
RtI Math > Intentional Teaching > See How It Works
A fifth-grade teacher describes explicit step-by-step approaches to teaching division of fractions. She emphasizes vocabulary teaching, demonstration, scaffolding, partner sharing, and checking for...
Resource Type
School Example
Pacing Instruction in Tier 3
RtI Math > Intentional Teaching > See How It Works
In this Tier 3 intervention lesson, the instructor reteaches a lesson on place value after it is clear that students have not grasped the concept of bundling ones to form a ten. Students create...
Resource Type
School Example
Organizing for Differentiation in the Core Classroom
RtI Math > Intentional Teaching > See How It Works
A second-grade teacher demonstrates a lesson on subtraction with regrouping. Through small group instruction she differentiates for struggling students and provides immediate reteaching after...
Resource Type
School Example
Concrete to Abstract Sequence
RtI Math > Intentional Teaching > See How It Works
A middle-school special education teacher demonstrates a lesson on solving two-step equations. She shows how to begin with concrete materials and then represents the same concepts on the SMART...
Resource Type
School Example
Teaching Students Math Problem-Solving Through Graphic Representations
RtI Math > Intentional Teaching > See How It Works
In this article, the author provides many examples of the use of different types of visualizations to teach mathematics concepts. Examples of visual representations are linked to solving word...
Resource Type
Sample Material
Solving Algebra and Other Story Problems With Simple Diagrams
RtI Math > Intentional Teaching > See How It Works, RtI Math > States & Districts
The article illustrates examples of word problems of increasing difficulty accompanied by the types of visualizations that help students analyze the problem statements and find solutions. The...
Resource Type
Sample Material
Concrete-Representational-Abstract (CRA) Instructional Approach Summary Report
RtI Math > Intentional Teaching > See How It Works
This document describes the CRA instructional strategy with examples of its use in teaching fractions. CRA is a framework for creating connections about levels of under
Resource Type
Sample Material
Planning for Visual Representations
RtI Math > Intentional Teaching > Overview & Tools
Interventionists can use this planner to develop lessons for Tier 2 and Tier 3 interventions that include visual representations as well as other features of explicit instruction. Related Media...
Resource Type
Tool
Learning Together About Visual Representations
RtI Math > Intentional Teaching > Overview & Tools
Math coaches and specialists can use this tool to help elementary and middle school interventionists and tutors learn about the use of visual representations in mathematics. The tool details how to...
Resource Type
Tool
