Generalizing and Skepticism: Bringing Research to Practice

  • Generalizing and Skepticism: Bringing Research to Practice

    David A. Yopp and Jacob L. Ellsworth
    Learn why generalizing is important but that overgeneralizing can be problematic.
    A call exists for students to understand reasoning and proving in the Common Core State Standards for Mathematics (CCSSI 2010) and other documents, such as Principles to Actions: Ensuring Mathematical Success for All (NCTM 2014). Students often struggle with proving. One frequent difficulty they exhibit is relying on empirical arguments as opposed to searching for more secure reasoning, such as exhausting all cases or using deduction.