dc.contributor.author | Modestou, Modestina | en |
dc.contributor.author | Gagatsis, Athanasios | en |
dc.creator | Modestou, Modestina | en |
dc.creator | Gagatsis, Athanasios | en |
dc.date.accessioned | 2017-07-27T10:42:44Z | |
dc.date.available | 2017-07-27T10:42:44Z | |
dc.date.issued | 2010 | |
dc.identifier.uri | https://gnosis.library.ucy.ac.cy/handle/7/38303 | |
dc.description.abstract | In this study we attempt to propose a new model of proportional reasoning based both on bibliographical and research data. This is impelled with the help of three written tests involving analogical, proportional, and non-proportional situations that were administered to pupils from grade 7 to 9. The results suggest the existence of a multi-component model of proportional reasoning, contributing in this way to the reformulation of the concept. In this model, the components of analogical reasoning, routine proportionality, and meta-analogical awareness take a constitutive part. Thus, proportional reasoning does not coincide exclusively with success in solving a certain restricted range of proportional problems, as routine missing-value and comparison problems (routine proportionality), but it also involves handling verbal and arithmetical analogies (analogical reasoning) as well as the awareness of discerning non-proportional situations (meta-analogical awareness), which is metacognitive in nature. | en |
dc.source | Mathematical Thinking and Learning | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-77949419508&doi=10.1080%2f10986060903465822&partnerID=40&md5=893615543c5e1267957a16b4e19e6928 | |
dc.title | Cognitive and Metacognitive Aspects of Proportional Reasoning | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1080/10986060903465822 | |
dc.description.volume | 12 | |
dc.description.issue | 1 | |
dc.description.startingpage | 36 | |
dc.description.endingpage | 53 | |
dc.author.faculty | Σχολή Κοινωνικών Επιστημών και Επιστημών Αγωγής / Faculty of Social Sciences and Education | |
dc.author.department | Τμήμα Επιστημών της Αγωγής / Department of Education | |
dc.type.uhtype | Article | en |
dc.description.notes | Cited By :11 | en |
dc.source.abbreviation | Math.Think.Learn. | |
dc.source.other | Scopus | en |
dc.contributor.orcid | Gagatsis, Athanasios [0000-0002-7996-0041] | |
dc.gnosis.orcid | 0000-0002-7996-0041 | |