{"data":{"id":"10.6084/m9.figshare.5668132","type":"dois","attributes":{"doi":"10.6084/m9.figshare.5668132","prefix":"10.6084","suffix":"m9.figshare.5668132","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"Magina, Sandra Maria Pinto","nameType":"Personal","givenName":"Sandra Maria Pinto","familyName":"Magina","affiliation":[],"nameIdentifiers":[]},{"name":"Spinillo, Alina Galvão","nameType":"Personal","givenName":"Alina Galvão","familyName":"Spinillo","affiliation":[],"nameIdentifiers":[]},{"name":"Lianny Milenna De Sá Melo","affiliation":[],"nameIdentifiers":[]}],"titles":[{"title":"Problems of Cartesian Product Solved by Elementary School Students"}],"publisher":"SciELO journals","container":{},"publicationYear":2017,"subjects":[{"subject":"160506 Education Policy","subjectScheme":"FOR"},{"subject":"FOS: Political science","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"FOS: Political science","subjectScheme":"Fields of Science and Technology (FOS)"}],"contributors":[],"dates":[{"date":"2017-12-05","dateType":"Created"},{"date":"2021-03-27","dateType":"Updated"},{"date":"2017","dateType":"Issued"}],"language":null,"types":{"ris":"DATA","bibtex":"misc","citeproc":"dataset","schemaOrg":"Dataset","resourceType":"Dataset","resourceTypeGeneral":"Dataset"},"relatedIdentifiers":[{"relationType":"IsSupplementTo","relatedIdentifier":"10.1590/2175-623664750","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":["154299 Bytes"],"formats":[],"version":null,"rightsList":[{"rights":"Creative Commons Attribution 4.0 International","rightsUri":"https://creativecommons.org/licenses/by/4.0/legalcode","schemeUri":"https://spdx.org/licenses/","rightsIdentifier":"cc-by-4.0","rightsIdentifierScheme":"SPDX"}],"descriptions":[{"description":"Abstract: The study investigated the solution of direct (which requires multiplication for its resolution) and inverse (which requires division for its resolution) Cartesian product problems by elementary education students, examining the level of problem complexity and the children procedures according to the type of problem. A total of 269 8 and 10 year-old students attending from 3rd to 5th grade, were asked 8 and 10 years to solve direct and inverse Cartesian product problems. As expected, the inverse problem was the most difficult one. The strategies showed that levels of combinatorial reasoning vary according to the type of problem. It was also found a progression in the solution of direct Cartesian product problems, but not in relation to the solution of inverse problems.","descriptionType":"Abstract"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://scielo.figshare.com/articles/dataset/Problems_of_Cartesian_Product_Solved_by_Elementary_School_Students/5668132","contentUrl":null,"metadataVersion":4,"schemaVersion":"http://datacite.org/schema/kernel-4","source":"mds","isActive":true,"state":"findable","reason":null,"viewCount":0,"viewsOverTime":[],"downloadCount":0,"downloadsOverTime":[],"referenceCount":0,"citationCount":0,"citationsOverTime":[],"partCount":0,"partOfCount":0,"versionCount":0,"versionOfCount":0,"created":"2017-12-05T09:28:14.000Z","registered":"2017-12-05T09:28:14.000Z","published":"2017","updated":"2021-03-27T00:24:16.000Z"},"relationships":{"client":{"data":{"id":"figshare.ars","type":"clients"}},"provider":{"data":{"id":"otjm","type":"providers"}},"media":{"data":{"id":"10.6084/m9.figshare.5668132","type":"media"}},"references":{"data":[]},"citations":{"data":[]},"parts":{"data":[]},"partOf":{"data":[]},"versions":{"data":[]},"versionOf":{"data":[]}}}}