id: 06145591
dt: j
an: 2013b.00661
au: Dick, Jonathan; Childrey, Maria
ti: Enhancing understanding of transformation matrices.
so: Math. Teach. (Reston) 105, No. 8, 622-626 (2012).
py: 2012
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: H60 G70
ut: state standards; core curriculum; linear algebra; geometric concepts;
matrix multiplication; transformations; transformation matrices
ci:
li: doi:10.5951/mathteacher.105.8.0622
http://www.nctm.org/publications/article.aspx?id=32495
ab: Summary: With the common core state standardsâ€™ emphasis on
transformations, teachers need a variety of approaches to increase
student understanding. Teaching matrix transformations by focusing on
row vectors gives students tools to create matrices to perform
transformations. This empowerment opens many doors: Students are able
to create the matrices for composite transformations and make the leap
to three dimensions. Most important, students truly understand the
connection between the algebraic and the matrix descriptions of the
transformations. This understanding is fundamental for students not
only as they go forward in their studies but also because these
matrices are so ubiquitous â€’ from Pauli matrices used to describe
quantum iso-spin to color adjustments in the Adobe Flash Player. And
giving students the ability to solve complex problems is what
mathematics education is all about. (ERIC)
rv: