Blumberg Center for
Interdisciplinary Studies in Special Education

Project for responsive educational systems

online evidence-based intervention resources

Math:  Computation

 

Beyond "Getting the Answer": Calculators Help Learning Disabled Students Get the Concepts

Clarifies when students should and should not use calculators.

 

Concrete-Representational-Abstract Instructional Approach

This brief provides an overview of the Concrete-Representational-Abstract (CRA) Instructional Approach and discusses how this intervention can be used to improve math instruction.

 

Cover-Copy-Compare

Students who can be trusted to work independently and need extra drill and practice with math computational problems will benefit from this strategy.

 

“Errorless Learning” Worksheet

Reluctant students can be motivated to practice math number problems to build computational fluency when given worksheets that include an answer key (number problems with correct answers) displayed at the top of the page. 

 

Explicit Time Drills

Explicit time-drills are a method to boost students’ rate of responding on math-fact worksheets.  (Elementary)

 

Increase Accuracy and Productivity Rates via Self-Monitoring and Performance Feedback

Students can improve both their accuracy and fluency on math computation worksheets by independently self-monitoring their computation speed, charting their daily progress, and earning rewards for improved performance.

 

Increase Accuracy by Intermixing Easy and Challenging Computation Problems

Teachers can improve accuracy and positively influence the attitude of students when completing math-fact worksheets by intermixing 'easy' problems among the 'challenging' problems. Research shows that students are more motivated to complete computation worksheets when they contain some very easy problems interspersed among the more challenging items.

 

Louisiana Department of Education Tutoring Lessons

Interventions for addition, subtraction, multiplication, multiplying by 10s and 100s, division, working with money, finding multiples, factors, and estimation for elementary students.

 

Louisiana Department of Education Tutoring Lessons

Interventions for computation with fractions, decimals, and integers for secondary students.

 

Math Fluency

This intervention is designed to build math fact fluency. This intervention can be

 

Mnemonic Device for Borrowing in Subtraction

 

Mnemonic Device for Dividing Fractions

 

Mnemonic Device for Long Division

 

Mnemonic Device for Multiplying by Nine

 

Mnemonic Device for Multiplying Two-Digit Number X Two-Digit Number

 

Mnemonic Device for Multiplying with Negatives

 

Number & Operations: Broken Calculator

In Number & Operations: Broken Calculator, students develop computational fluency by solving problems with a "broken" calculator.

 

Promote Mastery of Math Facts through Incremental Rehearsal

Incremental rehearsal builds student fluency in basic math facts ('arithmetic combinations') by pairing unknown computation items with a steadily increasing collection of known items. This intervention makes use of concentrated practice to promote fluency and guarantees that the student will experience a high rate of success.

 

Student Access to Division: An Alternative Perspective for Students With Learning Disabilities

Using the Interactive Unit approach to teach division.

 

Teaching Math Facts (Use with Flashcards)

This intervention is designed to build math fact fluency and increase accuracy and can be used for addition, subtraction, multiplication, or division facts.  (Elementary)

 

Teaching Math Facts

This intervention is designed to build math fact fluency and increase accuracy.  This intervention can be used for addition, subtraction, multiplication, or division facts, for example. Requires approximately 7 minutes each day.

 

Teaching Multiplication Facts

This intervention is designed to build fluency with multiplication facts while simultaneously decreasing errors. Requires approximately 5 minutes each day.

 

Two Ideas to Jump-Start Active Academic Responding

Research shows that when teachers use specific techniques to motivate their classes to engage in higher rates of active and accurate academic responding, student learning rates are likely to go up.  Here are two ideas to accomplish increased academic responding on math tasks.

used for addition, subtraction, multiplication, or division facts, for example.  Requires approximately 5 minutes each day.