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ERIC Number: EJ1105352
Record Type: Journal
Publication Date: 2016
Pages: 30
Abstractor: As Provided
ISSN: ISSN-1886-1350
Curricular Approaches to Connecting Subtraction to Addition and Fostering Fluency with Basic Differences in Grade 1
Baroody, Arthur J.
PNA, v10 n3 p161-190 2016
Six widely used US Grade 1 curricula do not adequately address the following three developmental prerequisites identified by a proposed learning trajectory for the meaningful learning of the subtraction-as-addition strategy (e.g., for 13-8 think "what + 8 = 13?"): (a) reverse operations (adding 8 is undone by subtracting 8); (b) common part-whole relations (5 + 8 and 13-8 share the same whole 13 and parts 5 and 8); and (c) the complement principle in terms of part-whole relations (if parts 5 and 8 make the whole 13, then subtracting one part from the whole leaves the other part).
Universidad de Granada Didáctica de la Matemática: Persamiento Numerico, FQM-193. Campus de Cartuja, Granada, Spain 18071. Tel: +34-958-241503; Fax: +34-958-246359; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Grade 1; Primary Education; Elementary Education; Early Childhood Education
Audience: N/A
Language: English
Sponsor: Institute of Education Sciences (ED)
Authoring Institution: N/A
IES Funded: Yes
Grant or Contract Numbers: R305A080479; R305B100017