### Math interventions for situations where the student needs to become more fluent with the math skill

Cover, Copy, and Compare is an approach to building fluency with basic facts and computation. A student looks at a solved mathematics problem, *covers* it, *copies* and solves it, and then *compares* to see if the newly-written problem matches the original problem. Cover, Copy, and Compare only takes a few minutes to complete, and students can use the practice every day.

- Common Core Standards: Multiple
- Setting: Small Group or Individual
- Focus Area: Fluency

Full Intervention Brief: Cover Copy and Compare

Modeling Videos: New Video by the Chris Birr at ElmbrookRTI (writing focus), Video 2, Video 3

Evidence Brief: Cover Copy and Compare EB

ELM is a whole-class intervention designed for kindergarten students. ELM supports the mathematics learning of all kindergarten students, and research results indicate improved mathematics performance for students with and without mathematics difficulties.

Common Core Standards: Multiple

Setting: Whole Class

Focus Area: Acquisition, Fluency, Generalization

The purpose of interleaving worked problems and problems to solve is to provide scaffolding through models or examples for students as they proceed through a set of math problems

Common Core Standards: Varied

Setting: Whole Class, Small Group, Individual

Focus Area: Acquisition, Fluency and Generalization

Full Intervention Brief: Interleaved Solutions and Problem Solving

Math PALS is a whole-class peer-tutoring program that can be used with students across grades K-6. With PALS, students work step-by-step on grade-level mathematics skills. The PALS model allows for students to practice mathematics skills with immediate feedback and to engage in discussion about mathematics.

Common Core Standards: Varied

Setting: Whole Class

Focus Area: Acquisition, Fluency and Generalization

Math Wise is a whole-class intervention for second-grade students. With Math Wise, students participate in lessons focused on addition and subtraction of single- and double-digit numbers.

Common Core Standards: Varied

Setting: Whole Class

Focus Area: Acquisition, Fluency and Generalization

Number Rockets is a small-group tutoring program for first-grade students experiencing mathematics difficulty. With Number Rockets, students participate in lessons focused on 17 topics (with 1-6 days of tutoring per topic) to help improve understanding of first-grade mathematics concepts and skills.

Common Core Standards: Multiple

Setting: Small Group and Individual

Focus Area: Multiple

*Pirate Math* is a program designed to improve the word-problem skill of elementary-aged students. Currently, there is a *Pirate Math *program for use in second-grade classrooms and a third-grade program for use as an individual tutoring intervention. During *Pirate Math*, students learn to

- Focus on and identify the conceptual framework of three types of word problems (i.e., Total, Difference, and Change word problems);
- Identify and ignore irrelevant information;
- Translate a word problem’s narrative to a mathematical equation, substituting “X” for the missing information;
- Solve for the missing variable (“X”) as expressed in the mathematical equation; and
- Self-evaluate the reasonableness of solved equations.

Common Core Standards: Varied

Setting: Whole Class and Individual

Focus Area: Acquisition, Fluency and Generalization

Overview:

ROOTS is a small-group tutoring program for kindergarten students experiencing mathematics difficulty. With ROOTS, students participate in 50 lessons focused on developing number sense to help improve understanding of kindergarten mathematics numbers and vocabulary. ROOTS is designed as a supplement to core instruction.

Common Core Standards: Multiple

Setting: Small Group

Focus Area: Acquisition, Fluency, Generalization

A schema is a way to organize or pattern information within a structured framework of known and unknown information. Within word-problem work, the learner identifies the type of problem (i.e., schema), which lends itself to solving the problem using a given organizational pattern. The main focus of Schema-Based Instruction or Schema-Broadening Instruction (SBI) is to teach word-problem solving using identification of a problem schema, representation using diagrams or equations to represent the schema, and solving the word problem. Scaffolding of student learning is provided throughout.

Common Core Standards: Operations and Algebraic Thinking (K-5), Numbers and Operations in Base Ten (K-5) and Numbers and Operations – Fractions (3-5)

Setting: Whole Class, Small Group or Individual

Focus Area: Acquisition, Fluency and Generalization

A schema is a way to organize or pattern information within a structured framework of known and unknown information. Within word-problem work, the learner identifies the type of problem (i.e., schema), which lends itself to solving the problem using a given organizational pattern. The main focus of Schema-Based Instruction or Schema-Broadening Instruction (SBI) is to teach word-problem solving using identification of a problem schema, representation using diagrams or equations to represent the schema, and solving the word problem. Scaffolding of student learning is provided throughout.

Common Core Standards: Multiple

Setting: Whole Class, Small Group or Individual

Focus Area: Acquisition and Generalzation

Spring Math is a complete MTSS assessment and intervention system for mathematics for students in grades K-8 with remedial use in grades 9-12. Spring Math supports the mathematics learning of all students, and research results indicate improved mathematics performance for students with and without mathematics difficulties.

*Taped Problems* is an approach to building fluency with basic facts. A student listens to a recorded (i.e., taped) math fact and tries to write the fact answer on a corresponding worksheet before hearing the answer on the recording. If the student answers incorrectly or does not produce an answer before hearing the answer, the student writes the correct answer on the worksheet (McCallum & Schmitt, 2011).

Common Core Standards: Multiple

Setting: Whole Class, Small Group or Individual

Focus Area: Fluency

The purpose of a word problem mnemonic is to provide students with a framework for solving word problems. The mnemonic reminds students to work step-by-step through a word problem. Some word problem mnemonics can be used for problem solving beyond basic word problems.

Common Core Standards: Multiple

Setting: Whole Class, Small Group or Individual

Focus Area: Acquisition, Fluency and Generalization