## Math Interventions – Full List

We are in the process of developing a new section of the EBI Network devoted to math interventions. Specifically, Dr. Erica Lembke at the University of Missouri, Dr. Sarah Powell at the University of Texas, Dr. Pamela Seethaler at Vanderbilt University and Elizabeth Hughes at Duquesne University have developed a framework to present math interventions that incorporates both a focus on content area (e.g. Counting & Cardinality or Operations & Algebraic Thinking) and the type of problem the child is having (acquisition, proficiency or generalization). As with other interventions on the site each intervention will have a brief for field use. For more information about our plans, see our current guiding document.

Current Intervention Briefs

**Interleaved Solutions and Problem Solving**- Common Core Standards: Varied
- Setting: Whole Class, Small Group, Individual
- Focus Area: Acquisition, Fluency and Generalization
- Overview: 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
- Full Brief Link

**Keyword Mnemonics**- Common Core Standards: Varied
- Setting: Whole Class, Small Group, Individual
- Focus Area: Acquisition, Fluency and Generalization
- Overview: Mnemonics
- Full Brief Link

**Math Wise**- Common Core Standards: Varied
- Setting: Whole Class
- Focus Area: Acquisition, Fluency and Generalization
- Overview: 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.
- Full Brief Link

**Pirate Math**- Common Core Standards: Varied
- Setting: Whole Class and Individual
- Focus Area: Acquisition, Fluency and Generalization
- Overview:
- Full Brief Link

**Math Peer-Assisted Learning Strategies (PALS)**- Common Core Standards: Varied
- Setting: Whole Class
- Focus Area: Acquisition, Fluency and Generalization
- Overview: 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.
- Full Brief Link

**Schema-Based Instruction / Schema-Broadening Instruction Additive Schemas (addition and subtraction)**- 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)
- Overview: 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. - Full Brief Link

**Concrete-Representational-Abstract (CRA)**- Common Core Standards: All
- Setting: Whole Class, Small Group or Individual
- Focus Area: Acquisition, Fluency and Generalization
- Overview: With CRA, students work with hands-on materials that represent mathematics problems (concrete), pictorial representations of mathematics problems (representational), and mathematics problems with numbers and symbols (abstract). The teacher explicitly bridges the connection between the concrete, representational, and abstract representations of the mathematics problems.
- Full Brief Link

**Cover-Copy-Compare**- Common Core Standards: Multiple
- Setting: Small Group or Individual
- Focus Area: Fluency
- Overview: 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. - Full Brief Link

**Solve It!**

- Common Core Standards: Multiple
- Setting: Small Group or Individual
- Focus Area: Acquisition and Generalization
- Overview: As indicated by Montague (2003), “The purpose of Solve it! Is to teach students to be good problem solvers.” Solve It! is a scripted curriculum designed to teach mathematical problem solving by engaging students in a series of steps that allow them to actively participate in metacognitive processing and demonstrate higher-order problem solving skills.
- Full Brief Link

**Schema-Based Instruction/Schema-Broadening Instruction (SBI) Multiplicative Schema (Multiplication and Division)***

- Common Core Standards: Multiple
- Setting: Whole Class, Small Group or Individual
- Focus Area: Multiple
- Overview: 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.
- Full Brief Link

**Graphic Organizers**

- Common Core Standards: Multiple
- Setting: Whole Class, Small Group or Individual
- Focus Area: Multiple
- Overview: A graphic organizer is a tool used to facilitate student understanding of new mathematical concepts. Graphic organizers can help students organize their thinking and connect new information to prior knowledge. They provide visual representation for students to take notes on new mathematical concepts they are learning. Graphic organizers can be used in any setting, from whole group to individual, and students can use the practice every day.
- Full Brief Link

**Taped Problems**

- Common Core Standards: Multiple
- Setting: Whole Class, Small Group or Individual
- Focus Area: Fluency
- Overview:
*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). - Full Brief Link

**Number Rockets**

- Common Core Standards: Multiple
- Setting: Small Group and Individual
- Focus Area: Multiple
- Overview: 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.
- Full Brief Link

**Word Problem Mnemonics**

- Common Core Standards: Multiple
- Setting: Whole Class, Small Group and Individual
- Focus Area: Acquisition, Fluency and Generalization
- Overview: 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.
- Full Brief Link

**Pegword Mnemonics**

- Common Core Standards: Multiple
- Setting: Whole Class, Small Group and Individual
- Focus Area: Acquisition
- Overview: Mnemonics
- Full Brief Link

**Early Learning in Mathematics (ELM)**

- Common Core Standards: Multiple
- Setting: Whole Class
- Focus Area: Acquisition, Fluency, Generalization
- Overview: 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.
- Full Brief Link