How did this student end up with the answer he did? What does it seem that he knows about complex numbers?
Last week we posted a somewhat similar mistake involving logarithms. Here’s the student work:
While you should feel free to comment on today’s mistake independent of the earlier one, I think it would be especially productive to compare these two pieces of student work. Could the same student have done both pieces of work? Are there differences between the way each student understands logarithms?
By the way, we now support equation editing in LaTeX, so feel free to write things such as in the comments. This post is also tagged with a Common Core Standard and categorized according the hierarchy that you see in the menu on the left.
Why did this student divide by “e”? What does that say about the way they think about logarithms? How would you help the student?
This kid clearly knows some of the basics of composing functions. But check out that last line.
What is going through this kid’s brain, and how would you respond?
My sense is that this mistake isn’t as interesting as the rest, but it’s a pretty common one that I see in Trigonometry. The question is, what sort of activity would help this student out?
What’s the student thinking, and how can we help?