
06664513
j
2016f.00853
Ulrich, Catherine
Stages in constructing and coordinating units additively and multiplicatively. II.
Learn. Math. 36, No. 1, 3439 (2016).
2016
FLM Publishing Association, c/o University of New Brunswick, Faculty of Education, Fredericton, NB; Canadian mathematics education study group  CMESG (Groupe Canadien d'\'etude en didactique des math\'ematiques  GCEDM), [s. l.]
EN
F30
C30
arithmetic
algebra
mathematical concepts
addition
multiplication
learning strategies
ME 2016d.00287
http://flmjournal.org/index.php?do=details&lang=en&vol=36&num=1&pages=3439&ArtID=1081
Summary: This is the second of a twopart 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, 27 (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.