TY - GEN
TI - Early algebra ideas about binomial expansion, Stephanie's interview one of seven, Clip 1 of 9: The Distributive property, Distributing a number over variables.
DO - https://doi.org/doi:10.7282/T33F4NND
AU - Maher, Carolyn Alexander
PY - >
1995-11-08
AB - In the first clip in a series of nine from the first of seven interviews in which 8th grade Stephanie explores Early Algebraic Ideas about Binomial Expansion, the researcher, Carolyn A. Maher, asks a series of questions about distributing a number over a quantity composed of the sum of two variables. Stephanie noted earlier that she worked earlier on finding the perimeter of quadrilaterals in her 8th grade algebra class and that the perimeter of a rectangle can by represented symbolically by 2(W + L) or 2W + 2L. When Maher asks Stephanie about 5(W + L), they explored together the relationship between multiplication and repeated addition for this expression. Maher asked Stephanie whether she remembered using "boxes" and "triangles" to represent variables.
The problem as presented to Stephanie:
5 (W + L) is written on Stephanie's paper below 2(W + L) = 2W + 2L. The researcher asks: Could you do that?
KW - Mathematics education
KW - Learning, Psychology of--Case studies
KW - Critical thinking in children--New Jersey--Case studies
KW - Algebra
KW - Problem solving
KW - Reasoning and proof
KW - Communication
KW - Connections
KW - Representation
KW - 8
KW - Algebra
KW - Simplify expressions
KW - Color markers
KW - Direct reasoning
KW - Additive reasoning
KW - Perimeter
KW - Distributive property
KW - Informal learning
KW - Public school
KW - Work view
KW - Student view
KW - Female
KW - White
KW - Human sample
KW - 6-8
KW - Mathematical expressions
ER -