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Making connections in mathematics.

S Engelmann1, D Carnine, D G Steely

  • 1University of Oregon, Eugene.

Journal of Learning Disabilities
|May 1, 1991
PubMed
Summary
This summary is machine-generated.

U.S. math textbooks may hinder student performance. This study introduces "sameness analysis," a method to teach mathematical relationships, improving outcomes for students with learning disabilities and at-risk students.

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Area of Science:

  • Mathematics Education
  • Learning Disabilities Research

Background:

  • U.S. students exhibit poor math performance, potentially linked to current math textbooks.
  • Existing math textbooks have significant shortcomings that impede student understanding.
  • Alternative pedagogical approaches are needed to address these deficiencies.

Purpose of the Study:

  • To identify and describe the major shortcomings of traditional math textbooks.
  • To introduce and illustrate the 'sameness analysis' as an alternative teaching perspective.
  • To demonstrate the application of sameness analysis in teaching fundamental mathematical relationships.

Main Methods:

  • Analysis of common math textbook structures and content.
  • Introduction of the 'sameness analysis' framework.
  • Research involving students with learning disabilities and at-risk students to test the approach.
  • Detailed examples of teaching addition-subtraction and multiplication-division relationships through sameness analysis.

Main Results:

  • Identified critical flaws in conventional math textbooks contributing to poor student performance.
  • Demonstrated the efficacy of sameness analysis with students facing mathematical challenges.
  • Provided practical methods for teaching interrelationships between arithmetic operations within word problems.

Conclusions:

  • Traditional math textbooks may negatively impact student mathematical achievement.
  • Sameness analysis offers a promising alternative for improving math instruction, particularly for struggling learners.
  • Teaching the relationships between mathematical operations is crucial for effective problem-solving.