Faculty Papers

 

Recent Submissions

  • Challenges to Teaching Authentic Mathematical Proof in School Mathematics 
    Cirillo, Michelle (The Department of Mathematics, National Taiwan Normal University Taipei, Taiwan, 2009)
    As pointed out by Stylianides (2007), a major reason that proof and proving have been given increased attention in recent years is because they are fundamental to doing and knowing mathematics and communicating mathematical ...
  • “I’m like the Sherpa guide”: On Learning to Teach Proof in School Mathematics 
    Cirillo, Michelle (The International Group for the Psychology of Mathematics Education, 2011)
    This article describes the experiences of a beginning mathematics teacher, Matt, across his first three years of teaching proof in a high school geometry course. Matt’s past experiences with mathematics influenced his ...
  • Supporting the Introduction to Formal Proof 
    Cirillo, Michelle (The International Group for the Psychology of Mathematics Education (PME), 2014)
    In this study, a tool that worked to support teachers with the introduction to formal proof in geometry is discussed. The tool helped teachers navigate the “shallow end” of proof. More specifically, the tool was shown to ...
  • Conceptions and Consequences of What We Call Argumentation, Justification, and Proof 
    Cirillo, Michelle; Kosko, Karl W.; Newton, Jill; Staples, Megan; Weber, Keith (East Lansing, MI: Michigan State University, 2015)
    Argumentation, justification, and proof are conceptualized in many ways in extant mathematics education literature. At times, the descriptions of these objects and processes are compatible or complementary; at other ...
  • Area and Perimeter Geogebra Applet 
    Cirillo, Michelle (2015-05-04)
    This applet was designed to be used with the "Mathematics Discourse in Secondary Classrooms" professional development materials. The applet allows the user to explore questions about how the area and perimeter of a triangle ...
  • Exploring Side-Side-Angle Triangle Congruence Criterion 
    Cirillo, Michelle; Todd, Rachael; Obrycki, Joe (2015-05-04)
    We describe an exploratory task intended to support students’ conceptual understandings of triangle congruence with particular emphasis on the Side-Side-Angle (SSA) case. We reveal how SSA, often dismissed, is actually a ...