MPAC 5 Notational Fluency

MPAC 5: Building notational fluency Students can: a. know and use a variety of notations (e.g., ); b. connect notation to definitions (e.g., relating the notation for the definite integral to that of the limit of a Riemann sum); c. connect notation to different representations (graphical, numerical, analytical, and verbal); and d. assign meaning to notation, accurately…

The Opposite of Negative

Next year, for the first time in 15 years, I am going to be teaching high school full-time. While I have enjoyed writing and working primarily with teachers for the last 15 years, I’m looking forward to “going back to the classroom” as they say. It looks like I’ll be teaching BC calculus and Algebra…

A Note on Notation

For quite awhile I’ve been writing sin(x), ln(x) and the like with parentheses instead of the usual sin x or ln x . The main reason is that I want to emphasize that  sin(x), ln(x), etc. are the same level and type of notation as f(x). The only difference is that sin(x) and ln(x) always represent the same function, while things like f(x) represent different functions…