Math Interventions - Proficiency Interventions – They need to become more fluent with the math skill

 

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

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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

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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

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

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

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Taped Problems

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

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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

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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

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Schema-Based Instruction / Schema-Broadening Instruction Additive Schemas (addition and subtraction)

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

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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

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Pirate Math

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:

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