Implementing the “Professional Standards for Teaching Mathematics”: Empowering Teachers through the Evaluation Process
Mr. Hille had been student teaching for three weeks when I made an announced observation in his second-year-algebra class. His lesson on ellipses had been carefully planned, and he was ready with models, string, calculators, overhead transparencies, and a lesson plan. Somewhere at the beginning of his enthusiastic presentation, he slipped from equations of ellipses to hyperbolas, while naming and graphing them as ellipses! Suddenly be realized what he was doing and looked at me in horror, but he went on for a few more minutes, “keeping his cool” as he would explain later. He asked questions and assigned a few problems from a previous section. The period ended. To an observer with little or no mathematics background, Mr. Hille's lesson appeared to be excellent.