{"created":"2025-02-18T01:44:57.687082+00:00","id":2001028,"links":{},"metadata":{"_buckets":{"deposit":"1ceebbd7-5b64-49be-a834-f653ab7d3985"},"_deposit":{"created_by":41,"id":"2001028","owners":[41],"pid":{"revision_id":0,"type":"depid","value":"2001028"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02001028","sets":["1730444917621"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"CAN STUDENTS CONSTRUCT NON-CONSTRUCTIVE REASONING? IDENTIFYING FUNDAMENTAL SITUATIONS FOR PROOF BY CONTRADICTION","subitem_title_language":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hayata, Toru","creatorNameLang":"en"}],"familyNames":[{"familyName":"Hayata","familyNameLang":"en"}],"givenNames":[{"givenName":"Toru","givenNameLang":"en"}]},{"creatorNames":[{"creatorName":"Uegatani, Yusuke","creatorNameLang":"en"}],"familyNames":[{"familyName":"Uegatani","familyNameLang":"en"}],"givenNames":[{"givenName":"Yusuke","givenNameLang":"en"}]},{"creatorNames":[{"creatorName":"Hakamata, Ryoto","creatorNameLang":"en"}],"familyNames":[{"familyName":"Hakamata","familyNameLang":"en"}],"givenNames":[{"givenName":"Ryoto","givenNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186499011":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"Copyright © 2018 left to the authors. All rights reserved."}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"370","subitem_subject_scheme":"NDC"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"The purpose of this study is to identify and empirically corroborate a fundamental situation (Brousseau, 1997) for constructing “proof by contradiction.\" We identified the four elements of a fundamental situation: i) obtaining strong conviction; ii) negating the given proposition naturally without being aware of the assumption; iii) finding a contradiction easily; and iv) noticing the origin of the contradiction. Based on this study, a new research question arises: How can students construct “proof by contradiction\" using teacher support?","subitem_description_language":"en"},{"subitem_description":"This work was partially supported by JSPS KAKENHI Grant Number 17H00147.","subitem_description_type":"Other"},{"subitem_description":"Place; Umeå, SWEDEN Date; 3-8 July, 2018","subitem_description_type":"Other"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"PME"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617187024783":{"attribute_name":"Page Start","attribute_value_mlt":[{"subitem_start_page":"43"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2018-07-12","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"50","bibliographicPageStart":"43","bibliographicVolumeNumber":"3","bibliographic_titles":[{"bibliographic_title":"Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education"},{"bibliographic_title":"Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education"}]}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"conference paper","resourceuri":"http://purl.org/coar/resource_type/c_5794"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-03-18"}],"displaytype":"simple","filename":"Proc42thConfIGPME_43.pdf","filesize":[{"value":"486.7 KB"}],"mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2001028/files/Proc42thConfIGPME_43.pdf"},"version_id":"538d1e86-cb86-4c83-8a17-b86bab075ef0"}]},"item_1732771732025":{"attribute_name":"旧ID","attribute_value":"46414"},"item_title":"CAN STUDENTS CONSTRUCT NON-CONSTRUCTIVE REASONING? IDENTIFYING FUNDAMENTAL SITUATIONS FOR PROOF BY CONTRADICTION","item_type_id":"40003","owner":"41","path":["1730444917621"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2023-03-18"},"publish_date":"2023-03-18","publish_status":"0","recid":"2001028","relation_version_is_last":true,"title":["CAN STUDENTS CONSTRUCT NON-CONSTRUCTIVE REASONING? IDENTIFYING FUNDAMENTAL SITUATIONS FOR PROOF BY CONTRADICTION"],"weko_creator_id":"41","weko_shared_id":-1},"updated":"2025-02-18T03:09:15.073612+00:00"}