Table of Contents
Meet the Authors
Introduction
Chapter 1: Overview of Response to Intervention in Mathematics
- What is Response to Intervention?
- Models of Implementation
- Summary
Chapter 2: Using Assessment to Make Instructional Decisions
- Step 1: Problem Identification
- Step 2: Problem Analysis
- Step 3: Intervention Plan Development
- Step 4: Plan Implementation
- Step 5: Plan Evaluation
- Summary
Chapter 3: Overview of Evidence-Based Practices for Teaching Mathematics
- Evidence-Based Practices for the Core Curriculum
- Interventions to Support Students who Struggle in Mathematics (Tiers 2 & 3)
- Summary
Chapter 4: Setting the Stage: Increasing Motivation
- Why Focus on Motivation?
- Increasing Motivation by Creating Meaningful, Engaging Lessons
- Using Self-Monitoring and Goal-Setting to Increase Motivation
- Effective Use of Praise
- Rewards
- Summary
Chapter 5: Explicit and Systematic Instruction
- Instructional Considerations for Struggling Learners
- The Explicit Instruction Lesson
- How Explicit Instruction Improves Motivation
- Summary
Chapter 6: Concrete and Visual Representation
- Research on the Concrete-Pictorial-Abstract (CPA) Sequence
- Virtual Manipulatives
- Recommendations for Implementing the CPA Sequence
- Summary
Chapter 7: Developing Number Sense
- Counting and Representing Whole Numbers
- Magnitude Comparison
- Place Value
- Intensifying Instruction
Chapter 8: Operations with Whole Numbers: Addition and Subtraction
- Developing Conceptual Understanding of Addition and Subtraction
- Developing Computational Fluency with Basic Facts
- Solving Multi-Digit Addition & Subtraction Problems
- Intensifying Instruction During Interventions
- Summary
Chapter 9: Operations with Whole Numbers: Multiplication and Division
- Developing Conceptual Understanding of Multiplication
- Understanding Division
- Developing Fluency with Multiplication & Division Facts
- Multi-Digit Multiplication Algorithms
- Multi-Digit Division
- Intensifying Instruction During Interventions
- Summary
Chapter 10: Fact Fluency
- Developing Strategies for Solving Basic Facts
- Automaticity
- Summary
Chapter 11: Representing Rational Numbers
- Fractions
- Decimals
- Percent
- Intensifying Instruction
- Summary
Chapter 12: Problem-Solving
- Problem Solving in the Core Curriculum (Tier 1)
- Teaching Problem Solving During Interventions (Tier 2 & Tier 3)
- Summary
Chapter 13: Conclusion: Using RtI to Improve Achievement in Mathematics
- Selecting Materials for Core Instruction (Tier 1)
- Selecting Materials for Interventions (Tiers 2 & 3)
- Intensifying Instruction
- Summary
References