Math interventions for situations where the task is too hard for the student

Concrete-Representational-Abstract (CRA)
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. Common Core Standards: All Setting: Whole Class, Small Group or Individual Focus Area: Acquisition, Fluency and Generalization Full Brief Link
Cross Age Peer Tutoring

This is a cross-age peer tutoring intervention that works by pairing students from different grades and ability levels to work on an academic skill together. The older/higher ability student will be the tutor; and the younger/lower ability student will be the tutee. The students work together to practice a skill. This is beneficial for both the tutors and the tutees.

Early Learning in Mathematics (ELM)

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

Full Brief Link

Graphic Organizers

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.

Common Core Standards: Multiple

Setting: Whole Class, Small Group or Individual

Focus Area: Acquisition and Generalization

EBI Brief Template Graphic Organizer

Instructional Match

The purpose of this intervention is to improve instruction through the accurate assessment of the student’s current instructional level and selection of appropriately matched curriculum and materials to the student’s current level and ability. A student’s prior knowledge, the difficulty of the learning task, and the pace of instruction differ, and therefore instruction must be tailored to the individual student to generate an instructional match.

  • Full Intervention Brief: Instructional Match
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    Interleaved Solutions and Problem Solving

    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 Peer-Assisted Learning Strategies (PALS)

    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

    Full Brief Link

    Math Wise

    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

    Full Brief Link

    Number Rockets

    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

    Full Brief Link

    ROOTS

    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

    Full Brief Link

    Schema-Based Instruction – Additive

    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

    Full Brief Link

    Schema-Based Instruction – Multiplicative

    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

    Full Brief Link

    Solve it!

    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.

    Common Core Standards: Multiple

    Setting: Small Group or Individual

    Focus Area: Acquisition and Generalization

    Full Brief Link

    Spring Math

    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.

    Spring Math EBI

    Word Problem Mnemonics

    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

    EBI Brief Template Word Problem Mnemonics