id: 06664337
dt: j
an: 2016f.01144
au: Yopp, David A.
ti: Dilations and the equation of a line.
so: Math. Teach. Middle Sch. 21, No. 7, 406-414 (2016).
py: 2016
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: I23
ut: equations; mathematical concepts; geometric concepts; linear functions
ci:
li: http://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/2016/Vol21/Issue7/Dilations-and-the-Equation-of-a-Line/
ab: Summary: Students engage in proportional reasoning when they use covariance
and multiple comparisons. Without rich connections to proportional
reasoning, students may develop inadequate understandings of linear
relationships and the equations that model them. Teachers can improve
studentsâ€™ understanding of linear relationships by focusing on
realistic situations and directing studentsâ€™ attention toward the
dependency of $x$ and $y$ and the covariant relationship expressed in
linear equations. In this article, the author presents how to track
studentsâ€™ understanding of proportional reasoning by combining
transformational geometry, similar-triangle reasoning, and linear
relationships. (ERIC)
rv: