On Scaling

Why “scaling” is necessary No teacher can make two tests on the same topics equal in difficulty. No two teachers, even if they collaborate, can make two tests on the same topic equal in difficulty. No two teachers in different schools, districts, or states can make two tests on the same subject equal in difficulty.…

Exams or Vacation?

What are you looking forward to most: the exam or April vacation? As I’ve mentioned before, I try to keep my posts a little ahead of where I assume you are. With the exams in less than a month away, this means I’m about done for this year. I’m now going to take some time…

Using Practice Exams

The multiple-choice exams from 2003, 2008 and 2012 and all the free-response questions and solutions from past years are available online. The students can easily find them. Starting in 2012 the College Board provided full actual AP Calculus exams, AB and BC, for teachers who had an audit on file to use with their students…

Back to School – 2016

BACK TO SCHOOL – The three words we love and we hate. I’ve been touching up the blog a bit this week. I hope the changes will make it easier to find posts on the topics you are interested in, and the blog more useful in general. The THRU THE YEAR tab on the navigation…

Summertime

Well school is over in most of the country, even if the folks here in the Northeast do have a few weeks to go . I am not planning to write much over the summer; I’d like to, but am short on ideas.  So if you have any questions, suggestions, or just something from Calculusville you’d like…

What is a Solution?

“How does one solve x + ln(x) = c algebraically?” A teachers asked that on the old calculus electronic discussion group (EDG) and it got me to thinking about what a “solution” really is. We start by teaching students how to solve linear equations; the idea is to do some arithmetic and/or algebraic operations on…