# Response to Intervention in Math

- Paul J. Riccomini - The Pennsylvania State University, University Park, PA
- Bradley S. Witzel - Winthrop University, USA

*"The authors do a great job of blending ideas from mathematics education and the National Mathematics Panel Report with special education research. This is a great resource for those starting an RTI mathematics program."*—Russell Gersten, Professor Emeritus, University of Oregon

Director, Instructional Research Group

*"Riccomini and Witzel have assembled a straightforward, well-organized, and systematically presented text that will be popular with inservice and preservice teachers alike."*—Kimberly Bright, Associate Professor of Educational Leadership and Special Education

Shippensburg University

*Boost academic achievement for all students in your mathematics classroom!*

Response to Intervention (RTI) is a system for assessment and instruction that has promising applications for teaching mathematics. This exciting new resource from Paul J. Riccomini and Bradley S. Witzel leads the way in applying RTI to mathematics instruction by offering guidelines for improving learning for all students, especially those who have learning disabilities or are struggling with mathematics content.

Drawing from evidence-based models, this guide begins with a comprehensive discussion of the RTI framework and the types of interventions appropriate within an RTI system for mathematics. The authors describe how the three tiers can be implemented in specific math areas and provide examples of RTI procedures illustrated in case studies. Aligned with the needs identified in the National Mathematics Advisory Panel final report and the IES practice guide, this book includes:

- Intervention strategies for specific mathematics areas, such as number sense, fractions, problem solving, and more
- Procedures for teaching math using systematic and explicit instruction as an approach to assessment, instructional planning, and evaluation
- Descriptions of essential components to consider when designing and implementing RTI in mathematics
- Guidelines for teaching math vocabulary

This timely resource provides tools and strategies that educators can immediately implement to help students achieve increased critical thinking skills and academic success.

Overview of RTI |

Key Research Support for RTI and Mathematics |

Summary |

Selection of the RTI Team Members |

Belief System |

Common Models of Implementation |

Assessment |

Importance of the Core Mathematics Program |

Summary |

Tier 1 Instruction and Curriculum |

Tier 2 Intervention and Curriculum |

Tier 3 Instruction and Curriculum |

Summary |

Who Needs Intervention? |

What Do I Teach for the Intervention? |

Who Should Intervene? |

Where? |

How Long? |

How Do I Organize My Curriculum? |

What Types of Curricular Strategies Should Be Used for Tier 2 and Tier 3 Interventions? |

Summary |

Assessments of Number Sense |

Instructional Delivery of Number Sense |

Curricular Elements of a Number Sense Intervention |

In Context |

Summary |

Importance of Proficiency in Whole Numbers |

General Recommendations for Building Proficiency |

Building Automatic Recall of Basic Facts With the Mastering Math Facts Program |

Building Proficiency With Whole Numbers Through PALS Math |

Summary |

Fractions in the Standards |

Assessment for Fractions and Decimals |

When Are Calculators Sufficient? |

Teaching the "What" With Fractions and Decimals |

Teaching the "How to Compute" With Fractions and Decimals |

Teaching Fluency With Fractions and Decimals |

In Context |

Summary |

Problem-Solving Programs |

Summary |

The Importance of Teaching Mathematical Vocabulary |

Instructional Activities to Promote Learning of Essential Mathematical Vocabulary |

Assessing Students' Knowledge of Mathematical Vocabulary |

Summary |

Professional Development |

Reconsidering the Tier 1 Mathematics Curriculum |

Why Is This Important for Educators Implementing an RTI Math Model? |

An Alternative Approach: A Two Tier 1 Core Mathematics Program |

Summary |

*"Does a great job of blending ideas from mathematics education and the National Mathematics Panel Report with special education research. A great resource for those starting an RTI mathematics program."*

**Director, Instructional Research Group**

*"Finally, a scholarly and practical text to help administrators and teachers learn about and institute Response to Intervention in math! Riccomini and Witzel have assembled a straightforward, well-organized, and systematically presented text that will be popular with inservice and preservice teachers alike. It is easy to follow and not overwhelming. As a teacher educator, I am always searching for a text that has utility for later use, and this is such a book! This is one of those rare textbooks that teachers will use long after their course on effective instruction."*

**Shippensburg University**

*"The most comprehensive RTI book for mathematics that I have seen to date. The importance of choosing a research-based, effective, balanced core program cannot be overstated. By following the guidelines in this book, districts can make good, sound decisions."*

**Great Falls Public Schools, MT**

*"This book hits the right balance between being practical and research driven. It provides scientific, research-based instruction in mathematics, show that RTI can focus on more than just reading. It's a tour de force!"*

**Lancaster County School District, SC**

*"This book is well written and well organized. I found the list of web sites for math programs and interventions of great use. I highly recommend ***Response to Intervention in Math***."*

**Teaching Children Mathematics magazine, February 2011**