In our mathematics methods courses for elementary preservice teachers, we work to uncover and confront students' understandings as well as misconceptions about important mathematical topics. Karp and colleagues' ("Teaching Children Mathematics", 21(1), 18-25) "13 Rules That Expire" article has been a useful resource for us to…

This paper considers characteristic views advanced in the past fifteen years that may be considered relatively sympathetic to student practices of cheating on graded assignments or exams. We detect and analyze typical fallacies that are recurrent in articles that promote a revisionist view of cheating as morally permissible. We offer a general,…

We are living in an era where reality, truth, and facts are being turned upside down and inside out. Fake news and falsehoods are being spewed out in increasing exponential rates. I was prompted to do something about the propensity of fake news through post-truth discourse and designed an undergraduate course that I titled: Bullshit, Fake News,…

When students encounter a set of concepts (or terms or principles) that are similar in some way, they often confuse one with another. For instance, they might mistake one word for another word with a similar spelling (e.g., allusion instead of illusion) or choose the wrong strategy for a mathematics problem because it resembles a different kind of…

The issue of homework is now uppermost in many parents' and teachers' minds. Researchers are questioning homework's effectiveness as an educational tool. Policy makers are thinking twice about what to do about it while kids have their fingers crossed. In two national surveys conducted by the authors, they have discovered a wide range of…

Polymerase chain reaction (PCR) is a conceptually difficult technique that embodies many fundamental biological processes. Traditionally, students have struggled to analyze PCR results due to an incomplete understanding of the biological concepts (theory) of DNA replication and strand complementarity. Here we describe the design of a novel…

Feedback is central to the development of effective learning, yet is comparatively underresearched. This article seeks to examine the notion of written feedback on assignments and argue that this feedback process is more complex than is sometimes acknowledged. The author illustrates the problematic nature of assignment feedback by drawing on a…