Publicação
A Model of Mathematical Problem Solving with Technology: The Case of Marco Solving-and-Expressing Two Geometry Problems
| Resumo: | Research has long been using analytical tools to describe the processes students engage in when solving non-routine mathematical problems. In this chapter we describe and discuss our progress on devising and implementing an analytical tool that aims to account for the use of technological tools by combining a mathematical problem solving model with a digital problem solving framework. By means of the Mathematical Problem Solving with Technology model (MPST) we report the case of Marco using technologies for solving two problems from a beyond school competition. Results show that Marco’s choice of the tools is grounded on an explicit knowledge of their affordances and how they enhance his mathematical thinking, mainly by triggering visual approaches that support the development of conceptual models for solving-and-expressing the solutions to the problems. |
|---|---|
| Autores principais: | Carreira, Susana |
| Outros Autores: | Jacinto, Hélia |
| Assunto: | Affordances Digital technology Humans-with-media Problem solving-and-expressing |
| Ano: | 2019 |
| País: | Portugal |
| Tipo de documento: | capítulo de livro |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Universidade de Lisboa |
| Idioma: | inglês |
| Origem: | Repositório da Universidade de Lisboa |
| _version_ | 1863857737181429760 |
|---|---|
| author | Carreira, Susana |
| author2 | Jacinto, Hélia |
| author2_role | author |
| author_facet | Carreira, Susana Jacinto, Hélia |
| author_role | author |
| contributor_name_str_mv | Repositório Científico de Acesso Aberto da ULisboa |
| country_str | PT |
| creators_json_str | [{\"Person.name\":\"Carreira, Susana\",\"Person.identifier.orcid\":\"0000-0002-0746-7258\"},{\"Person.name\":\"Jacinto, Hélia\",\"Person.identifier.orcid\":\"0000-0003-4768-2080\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | Repositório Científico de Acesso Aberto da ULisboa |
| datacite.creators.creator.creatorName.fl_str_mv | Carreira, Susana Jacinto, Hélia |
| datacite.date.Accepted.fl_str_mv | 2019-02-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2020-10-12T15:21:19Z |
| datacite.date.embargoed.fl_str_mv | 2020-10-12T15:21:19Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_16ec |
| datacite.subjects.subject.fl_str_mv | Affordances Digital technology Humans-with-media Problem solving-and-expressing |
| datacite.titles.title.fl_str_mv | A Model of Mathematical Problem Solving with Technology: The Case of Marco Solving-and-Expressing Two Geometry Problems |
| dc.contributor.none.fl_str_mv | Repositório Científico de Acesso Aberto da ULisboa |
| dc.creator.none.fl_str_mv | Carreira, Susana Jacinto, Hélia |
| dc.date.Accepted.fl_str_mv | 2019-02-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2020-10-12T15:21:19Z |
| dc.date.embargoed.fl_str_mv | 2020-10-12T15:21:19Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/10451/44570 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | Springer |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_16ec |
| dc.subject.none.fl_str_mv | Affordances Digital technology Humans-with-media Problem solving-and-expressing |
| dc.title.fl_str_mv | A Model of Mathematical Problem Solving with Technology: The Case of Marco Solving-and-Expressing Two Geometry Problems |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_3248 |
| description | Research has long been using analytical tools to describe the processes students engage in when solving non-routine mathematical problems. In this chapter we describe and discuss our progress on devising and implementing an analytical tool that aims to account for the use of technological tools by combining a mathematical problem solving model with a digital problem solving framework. By means of the Mathematical Problem Solving with Technology model (MPST) we report the case of Marco using technologies for solving two problems from a beyond school competition. Results show that Marco’s choice of the tools is grounded on an explicit knowledge of their affordances and how they enhance his mathematical thinking, mainly by triggering visual approaches that support the development of conceptual models for solving-and-expressing the solutions to the problems. |
| dirty | 0 |
| eu_rights_str_mv | restrictedAccess |
| format | bookPart |
| fulltext.url.fl_str_mv | https://repositorio.ulisboa.pt/bitstreams/295657c8-adb6-4672-b4da-673a98a00e7f/download |
| id | ul_7987f0da3cc01fb445bc58f3dec09da4 |
| identifier.url.fl_str_mv | http://hdl.handle.net/10451/44570 |
| 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:10451/44570 |
| organization_str_mv | urn:organizationAcronym:ul |
| person_str_mv | Carreira, Susana Carreira, Susana https://www.ciencia-id.pt/471D-177C-9C31 471D-177C-9C31 http://orcid.org/0000-0002-0746-7258 0000-0002-0746-7258 Jacinto, Hélia Jacinto, Hélia https://www.ciencia-id.pt/7E1F-F5A0-3CFD 7E1F-F5A0-3CFD http://orcid.org/0000-0003-4768-2080 0000-0003-4768-2080 |
| publishDate | 2019 |
| publisher.none.fl_str_mv | Springer |
| reponame_str | Repositório da Universidade de Lisboa |
| repository_id_str | urn:repositoryAcronym:ul |
| service_str_mv | urn:repositoryAcronym:ul |
| spelling | engSpringerpt_PTResearch has long been using analytical tools to describe the processes students engage in when solving non-routine mathematical problems. In this chapter we describe and discuss our progress on devising and implementing an analytical tool that aims to account for the use of technological tools by combining a mathematical problem solving model with a digital problem solving framework. By means of the Mathematical Problem Solving with Technology model (MPST) we report the case of Marco using technologies for solving two problems from a beyond school competition. Results show that Marco’s choice of the tools is grounded on an explicit knowledge of their affordances and how they enhance his mathematical thinking, mainly by triggering visual approaches that support the development of conceptual models for solving-and-expressing the solutions to the problems.application/pdfpt_PTA Model of Mathematical Problem Solving with Technology: The Case of Marco Solving-and-Expressing Two Geometry ProblemsPersonalCarreira, SusanaDSpacehttp://dspace.org/items/013e1910-fa94-442c-9548-5405132dcf06DSpacehttp://dspace.org/items/013e1910-fa94-442c-9548-5405132dcf06CarreiraSusanaCiência IDhttps://www.ciencia-id.pt471D-177C-9C31ORCIDhttp://orcid.org0000-0002-0746-7258Researcher IDhttps://www.researcherid.comA-8872-2014Scopus Author IDhttps://www.scopus.com55092828800PersonalJacinto, HéliaDSpacehttp://dspace.org/items/4ebaab95-8674-40de-8bb2-8d2fa4800f26DSpacehttp://dspace.org/items/4ebaab95-8674-40de-8bb2-8d2fa4800f26JacintoHéliaCiência IDhttps://www.ciencia-id.pt7E1F-F5A0-3CFDORCIDhttp://orcid.org0000-0003-4768-2080Scopus Author IDhttps://www.scopus.com57188561297HostingInstitutionOrganizationalRepositório Científico de Acesso Aberto da ULisboae-mailmailto:repositorio@reitoria.ulisboa.ptrepositorio@reitoria.ulisboa.ptISBNIsPartOf978-3-030-10472-6DOIIsPartOfhttps://doi.org/10.1007/978-3-030-10472-6_32020-10-12T15:21:19Z2019-022019-02-01T00:00:00ZHandlehttp://hdl.handle.net/10451/44570http://purl.org/coar/access_right/c_16ecrestricted accessAffordancesDigital technologyHumans-with-mediaProblem solving-and-expressing1956824 bytesliteraturehttp://purl.org/coar/resource_type/c_3248book parthttp://purl.org/coar/access_right/c_16ecapplication/pdffulltexthttps://repositorio.ulisboa.pt/bitstreams/295657c8-adb6-4672-b4da-673a98a00e7f/downloadMathematical problem solving ICME-134162 |
| spellingShingle | A Model of Mathematical Problem Solving with Technology: The Case of Marco Solving-and-Expressing Two Geometry Problems Carreira, Susana Affordances Digital technology Humans-with-media Problem solving-and-expressing |
| subject.fl_str_mv | Affordances Digital technology Humans-with-media Problem solving-and-expressing |
| title | A Model of Mathematical Problem Solving with Technology: The Case of Marco Solving-and-Expressing Two Geometry Problems |
| title_full | A Model of Mathematical Problem Solving with Technology: The Case of Marco Solving-and-Expressing Two Geometry Problems |
| title_fullStr | A Model of Mathematical Problem Solving with Technology: The Case of Marco Solving-and-Expressing Two Geometry Problems |
| title_full_unstemmed | A Model of Mathematical Problem Solving with Technology: The Case of Marco Solving-and-Expressing Two Geometry Problems |
| title_short | A Model of Mathematical Problem Solving with Technology: The Case of Marco Solving-and-Expressing Two Geometry Problems |
| title_sort | A Model of Mathematical Problem Solving with Technology: The Case of Marco Solving-and-Expressing Two Geometry Problems |
| topic | Affordances Digital technology Humans-with-media Problem solving-and-expressing |
| topic_facet | Affordances Digital technology Humans-with-media Problem solving-and-expressing |
| url | http://hdl.handle.net/10451/44570 |
| visible | 1 |