| Part 6: Summarizing the Results [Begin:
46:37]
|
During the students’ worktime, the teacher encourages them to find as many solutions
as possible. He draws ten quadrilaterals on the chalkboard and asks individual students
to show their solutions on the figures. After about 23 minutes, he briefly reviews
the solutions and asks which students found each solution. All of the methods involve
drawing a line that divides the quadrilateral into two triangles, then drawing a
line parallel to the first through the opposite vertex of one of the triangles, and
then changing the shape of that triangle by moving the vertex along the parallel
line until the entire figure is a triangle. The teacher ends the lesson by suggesting
that, for homework, the students try to change other polygons, such as pentagons,
into triangles with equal areas. After the customary bow, students are dismissed. |
