Publicação
Enhancing students’ generalizations: a case of abductive reasoning
| Resumo: | The aim of this paper is to understand how a path of teacher’s actions leads to students’ generalization. Generalization, as a main process of mathematical reasoning, may be inductive, abductive, or deductive. In this paper, we focus on an abductive generalization made by a student. The study is carried out in the third cycle of design of a design-based research involving lessons about linear equations in a grade 7 class. Data is gathered by classroom observations, video and audio recorded, and by notes made in a researcher’s logbook. Data analysis focus on students’ generalizations and on teacher’s actions during whole-class mathematical discussions. The results show a path of teacher’s actions, with a central challenging action, that allowed an extending abductive generalization, and also a subsequent deductive generalization. |
|---|---|
| Autores principais: | Mata-Pereira, Joana |
| Outros Autores: | Ponte, João Pedro da |
| Assunto: | Generalization Abductive reasoning Reasoning Teacher actions |
| Ano: | 2019 |
| País: | Portugal |
| Tipo de documento: | documento de conferência |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Lisboa |
| Idioma: | inglês |
| Origem: | Repositório da Universidade de Lisboa |
| _version_ | 1866811532448366592 |
|---|---|
| author | Mata-Pereira, Joana |
| author2 | Ponte, João Pedro da |
| author2_role | author |
| author_facet | Mata-Pereira, Joana Ponte, João Pedro da |
| author_role | author |
| contributor_name_str_mv | Repositório Científico de Acesso Aberto da ULisboa |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Mata-Pereira, Joana\",\"Person.identifier.orcid\":\"0000-0002-3446-014X\"},{\"Person.name\":\"Ponte, João Pedro da\",\"Person.identifier.orcid\":\"0000-0001-6203-7616\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | Repositório Científico de Acesso Aberto da ULisboa |
| datacite.creators.creator.creatorName.fl_str_mv | Mata-Pereira, Joana Ponte, João Pedro da |
| datacite.date.Accepted.fl_str_mv | 2019-01-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2020-01-15T11:42:17Z |
| datacite.date.embargoed.fl_str_mv | 2020-01-15T11:42:17Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | Generalization Abductive reasoning Reasoning Teacher actions |
| datacite.titles.title.fl_str_mv | Enhancing students’ generalizations: a case of abductive reasoning |
| dc.contributor.none.fl_str_mv | Repositório Científico de Acesso Aberto da ULisboa |
| dc.creator.none.fl_str_mv | Mata-Pereira, Joana Ponte, João Pedro da |
| dc.date.Accepted.fl_str_mv | 2019-01-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2020-01-15T11:42:17Z |
| dc.date.embargoed.fl_str_mv | 2020-01-15T11:42:17Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/10451/40829 |
| dc.language.none.fl_str_mv | eng |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | Generalization Abductive reasoning Reasoning Teacher actions |
| dc.title.fl_str_mv | Enhancing students’ generalizations: a case of abductive reasoning |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_c94f |
| description | The aim of this paper is to understand how a path of teacher’s actions leads to students’ generalization. Generalization, as a main process of mathematical reasoning, may be inductive, abductive, or deductive. In this paper, we focus on an abductive generalization made by a student. The study is carried out in the third cycle of design of a design-based research involving lessons about linear equations in a grade 7 class. Data is gathered by classroom observations, video and audio recorded, and by notes made in a researcher’s logbook. Data analysis focus on students’ generalizations and on teacher’s actions during whole-class mathematical discussions. The results show a path of teacher’s actions, with a central challenging action, that allowed an extending abductive generalization, and also a subsequent deductive generalization. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | conferenceObject |
| fulltext.url.fl_str_mv | https://repositorio.ulisboa.pt/bitstreams/04ac3851-2c0f-4641-b20b-f8a5d35594d5/download |
| id | ul_e0d4eebeddd6fd2dee615dbcb6757f1f |
| identifier.url.fl_str_mv | http://hdl.handle.net/10451/40829 |
| instacron_str | ul |
| institution | Universidade de Lisboa |
| instname_str | Universidade de Lisboa |
| language | eng |
| network_acronym_str | ul |
| network_name_str | Repositório da Universidade de Lisboa |
| oai_identifier_str | oai:repositorio.ulisboa.pt:10451/40829 |
| organization_str_mv | urn:organizationAcronym:ul |
| person_str_mv | Mata-Pereira, Joana Mata-Pereira, Joana https://www.ciencia-id.pt/5C1E-4B1D-88CA 5C1E-4B1D-88CA http://orcid.org/0000-0002-3446-014X 0000-0002-3446-014X Ponte, João Pedro da Ponte, João Pedro da https://www.ciencia-id.pt/6D1A-43D8-25B4 6D1A-43D8-25B4 http://orcid.org/0000-0001-6203-7616 0000-0001-6203-7616 |
| publishDate | 2019 |
| reponame_str | Repositório da Universidade de Lisboa |
| repository_id_str | urn:repositoryAcronym:ul |
| service_str_mv | urn:repositoryAcronym:ul |
| spelling | engpt_PTThe aim of this paper is to understand how a path of teacher’s actions leads to students’ generalization. Generalization, as a main process of mathematical reasoning, may be inductive, abductive, or deductive. In this paper, we focus on an abductive generalization made by a student. The study is carried out in the third cycle of design of a design-based research involving lessons about linear equations in a grade 7 class. Data is gathered by classroom observations, video and audio recorded, and by notes made in a researcher’s logbook. Data analysis focus on students’ generalizations and on teacher’s actions during whole-class mathematical discussions. The results show a path of teacher’s actions, with a central challenging action, that allowed an extending abductive generalization, and also a subsequent deductive generalization.application/pdfpt_PTEnhancing students’ generalizations: a case of abductive reasoningPersonalMata-Pereira, JoanaDSpacehttp://dspace.org/items/af569046-8631-4c17-a992-fa347e4aaf47DSpacehttp://dspace.org/items/af569046-8631-4c17-a992-fa347e4aaf47Mata-PereiraJoanaCiência IDhttps://www.ciencia-id.pt5C1E-4B1D-88CAORCIDhttp://orcid.org0000-0002-3446-014XScopus Author IDhttps://www.scopus.com57192425011PersonalPonte, João Pedro daDSpacehttp://dspace.org/items/7f7f6671-c6f0-4f10-8b88-822e768553bfDSpacehttp://dspace.org/items/7f7f6671-c6f0-4f10-8b88-822e768553bfMENDES DA PONTEJOÃO PEDROCiência IDhttps://www.ciencia-id.pt6D1A-43D8-25B4ORCIDhttp://orcid.org0000-0001-6203-7616HostingInstitutionOrganizationalRepositório Científico de Acesso Aberto da ULisboae-mailmailto:repositorio@reitoria.ulisboa.ptrepositorio@reitoria.ulisboa.pt2020-01-15T11:42:17Z20192019-01-01T00:00:00ZHandlehttp://hdl.handle.net/10451/40829http://purl.org/coar/access_right/c_abf2open accessGeneralizationAbductive reasoningReasoningTeacher actions478726 bytesother research producthttp://purl.org/coar/resource_type/c_c94fconference objecthttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorio.ulisboa.pt/bitstreams/04ac3851-2c0f-4641-b20b-f8a5d35594d5/downloadCERME 11, 11th Congress of European Research in Mathematics EducationUtrecht, Netherlands |
| spellingShingle | Enhancing students’ generalizations: a case of abductive reasoning Mata-Pereira, Joana Generalization Abductive reasoning Reasoning Teacher actions |
| status | SINGLETON |
| subject.fl_str_mv | Generalization Abductive reasoning Reasoning Teacher actions |
| title | Enhancing students’ generalizations: a case of abductive reasoning |
| title_full | Enhancing students’ generalizations: a case of abductive reasoning |
| title_fullStr | Enhancing students’ generalizations: a case of abductive reasoning |
| title_full_unstemmed | Enhancing students’ generalizations: a case of abductive reasoning |
| title_short | Enhancing students’ generalizations: a case of abductive reasoning |
| title_sort | Enhancing students’ generalizations: a case of abductive reasoning |
| topic | Generalization Abductive reasoning Reasoning Teacher actions |
| topic_facet | Generalization Abductive reasoning Reasoning Teacher actions |
| url | http://hdl.handle.net/10451/40829 |
| visible | 1 |