Early algebra ideas about binomial expansion, Stephanie's interview two of seven, Clip 6 of 6: The square of (a+b), how to imagine each piece? [article]

Carolyn Alexander Maher, Ethel M. Muter
In the final clip in a series of six from the second of seven interviews in which 8th grade Stephanie explores Early Algebraic Ideas about Binomial Expansion, Stephanie explains to the researcher, Carolyn Maher, her understanding of the meaning of each of the areas in the partitioned square with side (a+b).The problems as posed to Stephanie:For each of the pieces, the square with side a, the square with side b, and the rectangles with sides a and b, how would you imagine that the area is
more » ... Explain how you arrive at the number of square units for each part.The problem as presented to Stephanie:What is the meaning of the square of the quantity (a+b)?
doi:10.7282/t3kh0m91 fatcat:uym2rcrvxvcgbfb2zrasfw3q7a