**Mathematics interventions at the Tier 2 **(secondary prevention) level of a multi-tier prevention system must incorporate six instructional principles:

Instructional explicitness
Instructional design that eases the learning challenge
A strong conceptual basis for procedures that are taught
An emphasis on drill and practice
Cumulative review as part of drill and practice
Motivators to help students regulate their attention and behavior and to work hard
(Found in Mathematics Intervention at the Secondary Prevention Level of a Multi-Tier Prevention System: Six Key Principles by Lynn Fuchs, found at

http://www.rtinetwork.org/essential/tieredinstruction/tier2/mathintervention)

**Focus interventions on whole and rational numbers, word problems, and fact fluency**.

In grades K through 5, math interventions should focus intensely on in-depth treatment of whole numbers and operations, while grades 4 through 8 should address rational numbers as well as advanced topics in whole-number arithmetic, such as long division.

Interventions on solving word problems should include instruction that helps students identify common underlying structures of various problem types. Students can learn to use these structures to categorize problems and determine appropriate solutions for each problem type. Intervention teachers at all grade levels should devote about ten minutes of each session to building fluent retrieval of basic arithmetic facts. Primary-grade students can learn efficient counting-on strategies to improve math fact retrieval, and intermediate and middle-grade students should learn to use their knowledge of properties (e.g., the commutative, associative, and distributive laws) to derive facts in their heads.

(Found at U.S. Department of Education's website Doing What Works at http://dww.ed.gov/Response-to-Intervention-Math/RtI-Implementation/practice/index.cfm?T_ID=28&P_ID=70)

**Math – Interventions: **Reviewed by What Works Clearinghouse

Accelerated Math™
Adventures of Jasper Woodbury Series
Als speciale kleuter tel je ook me! (Young
Children with Special Needs Count, Too!)
Appalachia Model Mathematics Program
Barrett Math Program
Bridges in Mathematics
CAI
Computer Assisted Instruction
Computer Curriculum Corporation (CCC)
Computer Managed Mastery Learning
Connecting Math Concepts (CMC) mathematics
program
Consistency Management®
Core Knowledge Curriculum
Countdown Video IGAP Intervention Tape
Des Moines Plan
Digi-Block® Learning System
Everyday Mathematics®
Florida Primary Education Program
FUNdamentallyMATH®
Geo-Logo, by Investigations in Number, Data,
and Space®
Growing With Mathematics®
Holt Mathematics
Houghton Mifflin Mathematics
Investigations in Number, Data, and Space®
Jostens Integrated Learning System
Knowing Mathematics
Kumon Mathematics Program
Lightspan Achieve Now
Logo
Math Renaissance®
Math Trailblazers
Mathematics in Action (textbook series
published by MacMillan)
Mathematics Plus (textbook series published by
Harcourt)
Mathematics Their Way®
Mathematics Today by Harcourt Brace
MathFact
MathSteps by Houghton Mifflin
MathWings by the Success for All Foundation®
Moving with Math
Mystery Motivator
New Century Integrated Instructional System
New Century Mathematics
Number Power™
Numeracy Recovery
Odyssey Math
Opening Eyes to Mathematics by The Math
Learning Center
Orton–Gillingham® technique
Personalized System of Instruction (PSI)
Piacceleration Instruction
PLATO
Progress in Mathematics © 2006
Project 2000
Project MAS
Project SEED
Project Teach and Reach
Rational Number Project
Richmond Young Students Mathematics (RYSM)
Class
Rutgers-Kenilworth Program
Saxon Elementary School Math
Scott Foresman-Addison Wesley Elementary Mathematics
Sharon Wells Mathematics Curriculum
Silver Burdett Ginn Mathematics
Singapore Mathematics
Skills Reinforcement Project
Strategic Math Series
Successmaker
Teacher to Teacher Math Problem Solving
Supplementary Curriculum
Thinking Mathematics
TIPS: Math (Teachers Involve Parents in
Schoolwork)
TouchMath®
Visual Mathematics by The Math Learning Center
Voyages
Wasatch Interactive Learning, distributed by
Plato Learning