This PoSWW is a group effort, on one of the sub-topics in VCAA’s current curriculum:
parallel and perpendicular vectors
There is minimal guidance in the Study Design on what the sub-topic is intended to cover and, in particular, no definitions of “parallel vector” and “perpendicular vector” are provided. Our specific concern is the role of the zero vector.*
Below are definitions and implied definitions from three current Year 12 VCE Specialist Mathematics textbooks. We have attempted to be as fair as possible, for each text selecting the clearest definitions/descriptions we could locate.
*) One might be inclined to argue that this is a minor concern. For those thus inclined, we’ll address the argument soon with a new WitCH.
This is the fourth of our three WitCHes on VCAA’s Specialist Mathematics Exam 1 Sample Questions. Yeah, yeah it’s Douglas Adams-ish, but it wasn’t deliberate. We were undecided on this last one, and it’s not as compelling as the others. But, for similar reasons for the other WitCHes, we changed our mind and decided to post it. (There were other close calls, and we’ll soon update this post with brief comments on all the questions.)
This is the third of our three WitCHes on VCAA’s Specialist Mathematics Exam 1 Sample Questions. Newcomer aps was first to comment on the error, in regard to VCAA’s webinar, where the same question is “solved” (and see the subsequent comments on that post). Once again, it seems worthwhile to encourage a prominent discussion on an unfamiliar topic, and there is more to say than has come up so far.
This is the second of our three WitCHes on VCAA’s Specialist Mathematics Exam 1 Sample Questions. It may not be quite bad enough for a WitCH, but it’s very not good. Our main reason for posting it is because we believe there is more in the question than might meet a teacher’s eye. As with our previous WitCH, this question is on a new topic, and some visible discussion seems worthwhile. Continue reading “Witch 94: What Are the Odds?”→
This is the first of three WitCHes on VCAA’s Specialist Mathematics Exam 1 Sample Questions. We spent a solid hour writing a critique of this one, and another half hour removing the bad language. Given the topic is new, however, and will be not so familiar to many teachers, we decided the question required more prominence, and proper discussion. The question was first flagged by commenter Michael, and the sample questions have been discussed generally on this post and this post. Continue reading “Witch 93: Base Balls-Up”→
The word “equivalent” is one of the most useful in mathematics and one of the most abused in mathematics education. The implication is that this one is not all ACARA’s fault. Nonetheless, the fact that it was predictable that ACARA would make a mess of it doesn’t alter the fact that ACARA made a mess of it. So, here we are. And a warning: this is a long post; there seemed no way around it.