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ERIC Number: ED496947
Record Type: Non-Journal
Publication Date: 2005-Jul
Pages: 8
Abstractor: Author
Degrees of Freedom in Modeling: Taking Certainty out of Proportion
Peled, Irit; Bassan-Cincinatus, Ronit
International Group for the Psychology of Mathematics Education, Paper presented at the Conference of the International Group for the Psychology of Mathematics Education (29th, Melbourne, Australia, Jul 10-15, 2005), v4 p57-64
In its empirical part this paper establishes a general weak understanding of the process of applying a mathematical model. This is also evident in the way teachers regard the application of alternative sharing in their own problem solving and in relating to children's answers. The theoretical part analyses problems that are considered as applications of proportional reasoning. It suggests that the rationale for applying a proportion model varies and includes, for example, cases with a scientific rationale and others with a social one. In some problems there are no degrees of freedom in applying proportion, but in other cases this model should not be taken as "engraved in stone". This analysis is supported by examples of alternative sharing in Talmudic laws or bankruptcy interpreted by game theoretic models. (Contains 1 table.) [For complete proceedings, see ED496851.]
International Group for the Psychology of Mathematics Education. 35 Aandwind Street, Kirstenhof, Cape Town, 7945, South Africa. Tel: +27-21-715-3559; Fax: +27-88-021-715-3559; e-mail:; Web site:
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: Grade 7; Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A