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Presentation
Pre-Service Teachers’ Implementation of Physical and Virtual Manipulatives
Research Council on Mathematics Learning Annual Meeting (RCML)
  • Enrique Ortiz, University of Central Florida
  • Heidi Eisenreich, Georgia Southern University
  • Laura Tapp, University of Central Florida
Document Type
Presentation
Publication Date
2-1-2016
Disciplines
Abstract

With the accessibility of virtual manipulatives (apps and applets) in classrooms, it is necessary to reassess how these advancements may impact the learning process and research efforts. A possible approach is a framework that combines the well-known concrete (C), pictorial (P) and abstract (A) learning levels (CPA) with a proposed Virtual-level (V) (CPAV). The V-level includes digital and dynamic (non-static) components, which allows students’ virtual interaction with digital tools such as images, words, numbers and graphs. It also involves different sublevels: Virtual-Concrete, Virtual-Pictorial and Virtual Abstract. The framework will be discussed and demonstrated using easily available apps and applets (for example, NCTM Illuminations and National Library of Virtual Manipulatives). It is very important to understand what is involved in a virtual manipulative tool in order to provide for students’ learning needs. We will discuss mathematics pre-service teachers’ understanding and possible misconceptions of the framework while developing lesson plans and assessment activities. Several improvements are recommended in order to avoid participants’ misunderstandings. Most pre-service teachers demonstrated the ability to identify the levels involved in the instructional activities for the C, P and A levels in pre-, post and follow-up-tests, and lesson plans, but had a harder time with the V-sublevels. Participants are encouraged to bring their own iPads and computers.

Location
Orlando, FL
Citation Information
Enrique Ortiz, Heidi Eisenreich and Laura Tapp. "Pre-Service Teachers’ Implementation of Physical and Virtual Manipulatives" Research Council on Mathematics Learning Annual Meeting (RCML) (2016)
Available at: http://works.bepress.com/heidi-eisenreich/12/