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Development of Reasoning Associated with Pictographs: Representing, Interpreting, and Predicting


Watson, JM and Moritz, JB, Development of Reasoning Associated with Pictographs: Representing, Interpreting, and Predicting, Educational Studies in Mathematics, 48, (1) pp. 47-81. ISSN 0013-1954 (2001) [Refereed Article]

DOI: doi:10.1023/A:1015594414565


A developmental model involving four response levels is proposed concerning how students arrange pictures to represent data in a pictograph, how they interpret these pictographs, and how they make predictions based on these pictographs. The model is exemplified by responses from three related interview-based studies. In Study 1, ex-amples of each response level are provided from 48 preparatory- to tenth-grade students. Students from higher grades were more likely to respond at higher levels. In Study 2, 22 students were interviewed longitudinally after a three-year interval; many improved in response level over time, although a few responded at lower levels. In Study 3, 20 third-grade students were interviewed and then prompted with conflicting responses of other students on video; many improved their initial responses to higher levels after exposure to the conflicting prompts. Associations among levels of representing, interpreting, and predicting were explored. Educational implications are discussed concerning reasonable expectations of students and suggestions to develop these skills in students at different grades. © 2002 Kluwer Academic Publishers.

Item Details

Item Type:Refereed Article
Research Division:Education
Research Group:Curriculum and pedagogy
Research Field:Mathematics and numeracy curriculum and pedagogy
Objective Division:Education and Training
Objective Group:Other education and training
Objective Field:Other education and training not elsewhere classified
UTAS Author:Watson, JM (Professor Jane Watson)
UTAS Author:Moritz, JB (Mr Jonathan Moritz)
ID Code:24893
Year Published:2001
Deposited By:Education
Deposited On:2002-08-01
Last Modified:2019-01-08

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