A common question in (older?) textbooks is to give students a function or relation and have them graph it without technology (because in the old days technology was not available). Students had to find all the appropriate information without hints … Continue reading
I had an email last week from a teacher asking, how come I can use a substitution to find a power series for , and for , but not for ? The answer is that you can. Substituting (2x) into … Continue reading
My choices for the Good Question series are somewhat eclectic. Some are chosen because they are good, some because they are bad, some because I learned something from them, some because they can be extended, and some because they can … Continue reading
In this post we look at another part of the AP Calculus BC exam. Good Question 15 discussed the unusual units in 2018 BC 2(a). In this post we look at 2018 BC 2(b) where units help us find the … Continue reading
My choices for the Good Question series are somewhat eclectic. Some are chosen because they are good, some because they are bad, some because I learned something from them, some because they can be extended, and some because they can … Continue reading
Good Question 14 – The Integral Test I have no criteria for what constitutes a “Good Question” for this series of occasional posts. They are just questions that I found interesting, or that seem more than usually instructive, or that … Continue reading
Let’s end the year with this problem that I came across a while ago in a review book: Integrate It was a multiple-choice question and had four choices for the answer. The author intended it to be done with a u-substitution … Continue reading
Teaching Calculus 