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Article
Physical and Virtual Manipulation Framework Conceptions of Undergraduate Pre-Service Teachers
International Journal for Mathematics Teaching and Learning
  • Enrique Ortiz, University of Central Florida
  • Heidi A. Eisenreich, Georgia Southern University
  • Laura Tapp, Alvin Community College
Document Type
Article
Publication Date
4-19-2019
Disciplines
Abstract

The goal of this study is to analyze undergraduate elementary school pre-service teachers’ conceptions and misconceptions of physical and virtual manipulative materials using an interpretive framework. The framework involved the use of the Concrete, Pictorial and Abstract cognitive levels combined with the Virtual-level, or CPVA-framework. The CPVA instrument was used to answer two research questions related to participants’ understanding of CPVA-levels using the framework during a mathematics methods course. Pre-, post and follow-up test scores were analyzed. The participants demonstrated improvement from pre-test to post- and follow-up-tests. However, this improvement was limited by their understanding of the Virtual-level.

Citation Information
Enrique Ortiz, Heidi A. Eisenreich and Laura Tapp. "Physical and Virtual Manipulation Framework Conceptions of Undergraduate Pre-Service Teachers" International Journal for Mathematics Teaching and Learning Vol. 20 Iss. 1 (2019) p. 62 - 84 ISSN: SSN: ISSN-1473-0111
Available at: http://works.bepress.com/heidi-eisenreich/34/