Bottles and Divers
(Rates of Change)
High School Math Project
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Assessment
As in many of the other video lessons in which the students work in groups, one of
the most important means of assessing students is by listening to their comments as
they work with their classmates. In this lesson, students are grouped in threes to
keep the students from pairing off as discussions take place. This aides the teacher in
listening to a group work, but it also means that there will be more groups to
circulate among. (Many instructional decisions, like this one, involve trade-offs.)
The teacher mentions using a variety of means to assess the students, including
class discussions, projects, tests, and quizzes. An important part of the written tests
and quizzes involves a more open-ended approach in which the teacher asks the
students to not only give an answer, but also to explain their reasoning. This
emphasis on problem-solving and reasoning as well as using multiple means of
assessing students are in line with the NCTM standards, and they are an important
part of the many changes that are occurring in the algebra classroom.
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