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: http://www.nctm.org/publications/article.aspx?id=32495
ab: Summary: With the common core state standards’ 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 ‒ 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: