What results have emerged? The clips featured in "Preparing Presentations" and "Final Student Presentations," you will see evidence of the following results: a) Students develop their own unique understanding of algebraic representations. For example, in the Preparing Presentations page, you will notice Kenny making a point about balance and symmetry while Stevie works out his own sense of a variable. b)
Insisting on an audience provides an opportunity for students' own
unique understanding to have status in the classroom. While Preparing Presentations,
you will see Stevie and Kenny worrying about "making it so the audience
understands" and in doing so, are interested in discussing their
perceptions with each other . c)
Factoring and multiplying are understood and referred to in terms of
dimensions and area whereas I am accustomed to hearing students refer
to algorithms. During his final student presentation, you will hear Kenny make a point of saying "factoring is like dividing " while referring to length and width. d)
The activities, journal prompts, writing assignments, and discussions
all help students to keep from "talking off task" which is something
all the boys mentioned as an obstacle in the past. Their reflections on
past math classes can be seen in "My Students" page.
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