\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2016f.00853}
\itemau{Ulrich, Catherine}
\itemti{Stages in constructing and coordinating units additively and multiplicatively. II.}
\itemso{Learn. Math. 36, No. 1, 34-39 (2016).}
\itemab
Summary: This is the second of a two-part article that presents a theory of unit construction and coordination that underlies radical constructivist empirical studies of student learning ranging from young students' counting strategies to high school students' algebraic reasoning. In Part I [the author, ibid. 35, No. 3, 2--7 (2015; ME 2016d.00287)], I discussed the formation of arithmetical units and composite units. Here I continue on to the construction of iterable units and disembedding. Finally, I look at the role of the stages of unit construction in making additive and multiplicative coordinations. Throughout I link terms used by various learning researchers.
\itemrv{~}
\itemcc{F30 C30}
\itemut{arithmetic; algebra; mathematical concepts; addition; multiplication; learning strategies}
\itemli{http://flm-journal.org/index.php?do=details&lang=en&vol=36&num=1&pages=34-39&ArtID=1081}
\end