Here is another collection of Fallacies, Flaws and Flimflam, mostly drawn from the column of this name in the College Mathematics Journal between 2000 and 2008. As in the first volume, there is a variety of items ranging from howlers (outlandish procedures that nonetheless lead to a correct answer) to errors that are deep or subtle often made by strong students. While some are provided for entertainment, others offer a challenge to the reader to determine exactly where things go wrong.
While there are many proposals to improve the quality of mathematics education, these seldom address the need for students to pay careful attention to what they do and to check their work. It is through an engagement with meaning that they can avoid the pitfalls that come too naturally. Accordingly, my hope is that this volume might be useful to teachers at all levels. It may be that the task of sorting out erroneous solutions may endow students with empathy for the hapless teacher who is faced with such solutions all the time and has to come up with a constructive response.
The items are sorted according to subject matter. Elementary teachers will not find much of use beyond Chapter 1, while middle and secondary teachers will find items in Chapters 1, 2, 3, 7, 8 that they might use. College teachers should find material in every part of the book. There are frequent references to the College Mathematics Journal; these are denoted by CMJ.
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