id: 06597664
dt: j
an: 2016d.00576
au: Norton, Anderson; Boyce, Steven; Hatch, Jennifer
ti: Coordinating units at the candy depot.
so: Math. Teach. Middle Sch. 21, No. 5, 280-287 (2015).
py: 2015
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: F43 U73
ut: fractions; algebra readiness; apps; use of technology
ci:
li: http://www.nctm.org/Publications/Mathematics-Teaching-in-Middle-School/2015/Vol21/Issue5/Coordinating-Units-at-the-CandyDepot/
ab: Summary: In general, units coordination refers to the relationships that
students can maintain between various units when working within a
numerical situation. It is critical that middle school students learn
to coordinate three levels of units not only because of their
importance in understanding fractions but also because of their
implications for multiplicative reasoning and algebra readiness.
Students begin coordinating units and developing multiplicative
reasoning while learning about whole numbers. Students can then
reorganize these units coordinations in establishing knowledge of
fractions and algebraic reasoning. In middle school, educators can
expect to find students coordinating units at any of three stages,
depending on the number of levels of units they can coordinate at once.
In this article, the authors describe how they used variations of a
bars task to assess students’ stages of units coordination. Using the
CandyDepot app, an educational game designed by the Learning
Transformation Research Group at Virginia Tech, they adapt the barks
task to involve other contexts involving three levels of units. The
context involves placing candy bars into bundles and placing bundles
into boxes. CandyDepot is an educational game designed to address the
critical need for students to develop units coordination. With proper
implementation ‒ including opportunities for reflection and
discussion ‒ teachers can use the app to support students’ units
coordination activity across multiple contexts, including fractions
knowledge and multiplicative reasoning. (ERIC)
rv: