Abstract
This paper addresses pedagogical considerations for successful development of plausible reasoning and proof within a technologically enhanced mathematics classroom. One such approach developed in this paper is encompassed in the acronym CARE where C refers to Commonplaces, A to Authority, R to Reasoning, and E to Experience. When applied within a technology enhanced mathematics classroom, these considerations help create mathematics classroom environments supporting student critical thinking, plausible reasoning, and emergent proof. An instructional example, together with discussion of supporting technology, is then presented showing how the CARE approach enables student development of advanced plausible reasoning strategies in mathematics within a technologically enhanced classroom.
Presenters
Michael ConnellProfessor of Mathematics Education, Urban Education / College of Public Service, University of Houston-Downtown, Texas, United States
Details
Presentation Type
Paper Presentation in a Themed Session
Theme
Science, Mathematics and Technology Learning
KEYWORDS
Mathematics Education, Pedagogy, Critical Thinking, Reasoning, Educational Technology