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ERIC Number: EJ1084354
Record Type: Journal
Publication Date: 2015
Pages: 7
Abstractor: As Provided
ISSN: ISSN-0228-0671
Stages in Constructing and Coordinating Units Additively and Multiplicatively (Part 1)
Ulrich, Catherine
For the Learning of Mathematics, v35 n3 p2-7 2015
This is the first 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. My explanation starts with the formation of arithmetical units, which presage the construction of the first numerical schemes, and continues on through the construction of a three-level structure of coordinated units, which is necessary for upper-level mathematics. Along the way I disambiguate terminology in order to increase the accessibility of this useful theory to a wider group of learning researchers.
FLM Publishing Association. 382 Education South, University of Alberta, Edmonton, Alberta T6G 2G5, Canada. e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Secondary Education; High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A