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Math Interventions – Full List - Evidence-Based Intervention Network
University of Missouri
School Psychology at Mizzou
IU
ECU
Special Education at Mizzou
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.
Mathematics EBI Network 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 are strategies and techniques that aid in memory. A
mnemonic keyword connects a new vocabulary word to students’ prior
knowledge by using a visual depicting the definition to the new vocabulary
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word. New vocabulary terms are introduced through a similar sounding word
(keyword). This keyword is illustrated in such a way that the keyword interacts
with critical attributes of the definition of the new word. Lastly, a sentence is
created to connect the keyword to the new definition.
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 (35)
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 wordproblem work, the learner identifies the type of problem (i.e., schema), which
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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
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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 wordproblem 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
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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
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
Evidence Based Intervention Network
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