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Article: On recognizing proportionality: Does the ability to solve missing value proportional problems presuppose the conception of proportional reasoning?

TitleOn recognizing proportionality: Does the ability to solve missing value proportional problems presuppose the conception of proportional reasoning?
Authors
KeywordsMissing value proportional problems
Issue Date2014
Citation
Journal of Mathematical Behavior, 2014, v. 33, n. 1, p. 1-17 How to Cite?
AbstractThis paper investigates the relationship between the ability of middle school students to solve missing value proportional problems and their facility in differentiating proportional relationships from non-proportional relationships. Students in low- and high-proficiency groups in mathematics took a ratio-and-proportion test involving two typical missing value proportional (MVP) and two recognizing proportionality (RP) problems. The findings revealed that while the students generally performed better on MVP problems than on RP problems, the two groups differed in their performance on MVP problems, but not on RP problems. Moreover, of those students from both the groups who successfully solved the two MVP problems, a significantly greater proportion of students in the high-proficiency group were unsuccessful in solving either of the two RP problems than those in the low-proficiency group. An analysis of performance differences between items within the same student group showed that the effect of differences in the structural components of RP problems to some extent contradicted the previous findings on the effect of differences in the structural components of MVP problems. It is hoped that these findings can shed light on what might be missing in the teaching and learning of proportional reasoning. © 2013 Elsevier Inc.
Persistent Identifierhttp://hdl.handle.net/10722/228172
ISSN
2015 SCImago Journal Rankings: 1.259

 

DC FieldValueLanguage
dc.contributor.authorTjoe, Hartono-
dc.contributor.authorde la Torre, Jimmy-
dc.date.accessioned2016-08-01T06:45:22Z-
dc.date.available2016-08-01T06:45:22Z-
dc.date.issued2014-
dc.identifier.citationJournal of Mathematical Behavior, 2014, v. 33, n. 1, p. 1-17-
dc.identifier.issn0732-3123-
dc.identifier.urihttp://hdl.handle.net/10722/228172-
dc.description.abstractThis paper investigates the relationship between the ability of middle school students to solve missing value proportional problems and their facility in differentiating proportional relationships from non-proportional relationships. Students in low- and high-proficiency groups in mathematics took a ratio-and-proportion test involving two typical missing value proportional (MVP) and two recognizing proportionality (RP) problems. The findings revealed that while the students generally performed better on MVP problems than on RP problems, the two groups differed in their performance on MVP problems, but not on RP problems. Moreover, of those students from both the groups who successfully solved the two MVP problems, a significantly greater proportion of students in the high-proficiency group were unsuccessful in solving either of the two RP problems than those in the low-proficiency group. An analysis of performance differences between items within the same student group showed that the effect of differences in the structural components of RP problems to some extent contradicted the previous findings on the effect of differences in the structural components of MVP problems. It is hoped that these findings can shed light on what might be missing in the teaching and learning of proportional reasoning. © 2013 Elsevier Inc.-
dc.languageeng-
dc.relation.ispartofJournal of Mathematical Behavior-
dc.subjectMissing value proportional problems-
dc.titleOn recognizing proportionality: Does the ability to solve missing value proportional problems presuppose the conception of proportional reasoning?-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.jmathb.2013.09.002-
dc.identifier.scopuseid_2-s2.0-84887323726-
dc.identifier.volume33-
dc.identifier.issue1-
dc.identifier.spage1-
dc.identifier.epage17-

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