Strategic Math: Division Facts 0 to 81

"Division Facts 0-81 manual cover photo"

The Strategic Math Series focuses on how to teach basic math facts and operations to students of any age. Content is built upon the concrete-representational-abstract method of instruction. In this approach, understanding of mathematics is developed through the use of concrete objects, representational drawings, and an easy-to-learn strategy that turns all students into active problem solvers.

Division Facts 0 to 81 provides all of the materials you need to teach division facts using the concrete-representational-abstract method of instruction. The manual outlines specific teaching procedures for each lesson and includes student tests, progress charts, practice sheets, and more.

In studies, students' computation scores rose from a pretest mean of 45 percent to a posttest mean of 92 percent. Their speed in making these calculations increased 87 percent.

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Please note that professional development, coaching, and infrastructure support are essential components to effective implementation of SIM instructional tools and interventions. It is highly recommended that you work with a SIM professional developer. See the SIM Event list for sessions or email to learn more.

Author(s): Cecil D. Mercer, Susan Peterson Miller

Publication Info: Edge Enterprises, 1993


Research: Division Facts 0 to 81 (.pdf)

Research Articles

  • Miller, S., & Strawser, S. (1996). Promoting strategic math performance among students with learning disabilities. Learning Disability Forum, 21(2), 34-40. This article provides suggestions for classroom teachers who want to integrate strategy instruction into their math curriculum by discussing a strategic classroom environment and strategic learners.

More in the Strategic Math Series


An accessible version of the documents on this site will be made available upon request. Please contact the KU CRL Professional Development Research Institute, at to request the document be made available in an accessible format.