The following exercise and, um, solution come from Cambridge’s Mathematical Methods 3 & 4 (2019):
Reflecting on the comments below, it was a mistake to characterise this exercise as a PoSWW; the exercise had a point that we had missed. The point was to reinforce the Magrittesque lunacy inherent in Methods, and the exercise has done so admirably. The fact that the suggested tangents to the pictured graphs are not parallel adds a special Methodsy charm.
The following PoSWW comes courtesy of Franz, who states that “when it comes to ‘stupid curricula, stupid texts and really monumentally stupid exams’ no Western country, with the possible exception of the US, is worse than Germany.” We take that as a challenge, and we’re waiting for Franz to back up his crazy-brave claim.
Franz’s PoSWW, however, has nothing to do with Germany. This PoSSW follows on from two of our previous posts, on idiotic questions appearing in New Zealand exams. Franz wrote to us, noting that the same style of question appears in the Oxford Year 8 text My Maths. Indeed, a number of versions of this ludicrous question appear in My Maths, all inventively awful in their own way. The two examples below are enough to give the flavour:
To be honest, we’re not sure the exercise below is a PoSWW. It may simply be a minor error, the likes of which are inevitable in any text, and of which it is uninteresting and unfair to nitpick. But, for the life of us, we have no idea what the authors might have intended to ask. Make of it what you will:
UPDATE: For those hoping that context will help make sense of the exercise, the section of the text is an introduction to factoring over complex numbers. And, the text’s answer to the above exercise is A = 2, B = 5, C = -1, D = 2.
This PoSWW (as is the accompanying WitCH) is from Cambridge’s Mathematical Methods Units 1 and 2. and is courtesy of the Evil Mathologer. (A reminder, we continue to post on Cambridge not because their texts are worse than others, but simply because their badness is what we get to see. We welcome all emails with any suggestions for PoSWWs or WitCHes.)
We will update this PoSWW, below, after people have had a chance to comment.
Similar to Witch 6, the above proof is self-indulgent crap, and obviously so. It is obviously not intended to be read by anyone.
One can argue how much detail should be given in such a proof, particularly in a subject and for a curriculum that systemically trashes the concept of proof. But it is difficult to see why the diagram below, coupled with the obvious equations and an easy word, wouldn’t suffice.