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The seventeen articles analysis showed a diversity of realizations of this concept, distributed in three landscapes. At first, it was described as ratio and held as comparison of parts, equivalence ratios, rate, scale division, vector, and musical intervals. In the second one, it was described by the equality between reasons, supported by the Tales theorem, whose achievements were rule of three and percentage. In the latter landscape, this concept was presented as a function model through multiplicative relations, rate of change, scale, and percentage.","descriptionType":"Abstract"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://scielo.figshare.com/articles/The_Construction_of_Mathematics_for_Teaching_the_Concept_of_Direct_Proportionality_from_a_Systematic_Literature_Review/5719513","contentUrl":null,"metadataVersion":1,"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":"2017-12-20T02:52:28.000Z","registered":"2017-12-20T02:52:29.000Z","published":"2017","updated":"2020-08-31T05:23:20.000Z"},"relationships":{"client":{"data":{"id":"figshare.ars","type":"clients"}},"provider":{"data":{"id":"otjm","type":"providers"}},"media":{"data":{"id":"10.6084/m9.figshare.5719513","type":"media"}},"references":{"data":[]},"citations":{"data":[]},"parts":{"data":[]},"partOf":{"data":[]},"versions":{"data":[]},"versionOf":{"data":[]}}}}