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Comparison of the effects of two models of instruction on the problem-solving perfomance of preservice elementary school teachers and on their awareness of the problem-solving strategies they employ

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Resumo:This eight-week study compared the effects of two heuristic models of instruction in mathematical problein solving on preservice elementary school teachers' problem-solving performance, on their awareness of the problem-solving strategies they employ, and on their perceptions about specific problem-solving issues. Sixty-eight subjects were randomly assigned to one of two treatments. Treatment 1 subjects were expose'd to an implicit method of instruction in problem solving which made organized use of specific problem-solving strategies to solve problems but did not overtly identify or reflect upon the selection or application of those strategies. Treatment 2 subjects were exposed to an explicit model of instruction which named, discussed, purposefully applied, and reflected upon the organized use of specific problem-solving strategies to solve problems. Both treatments taught four problem-solving strategies and employed Polya's four-step model of problem solving; each subject solved or saw the solutions to the same'24 experimenter-selected process problems. Four experimenter-developed instruments were used to collect both quandtative and qualitative data. Analysis of covariance, t-test for independent groups, and chi-square tests were performed to test the three hypotheses of the study at the 05 level. No significant differences were found between the two treatment groups on problem-solving performance, on awareness of the use of problem-solving strategies, or on eight of nine observed small-group problem-solving behaviors. Study findings suggest that preservice elementary school teachers can learn to use problem-solving strategies effectively to solve process problems. Both models of instruction significantly improved preservice teachers' problem-solving performance; the explicit model appeared to be more effective in promoting organization of problem solutions and description of problem-solving procedures. Also, only explicit instruction on Polya's four-step model of problem solving resulted in its conscious use. Study results and conclusions yielded recommendations on the use of the focused holistic scoring, on the study design, and on teacher education in mathematical problem solving.
Autores principais:Fernandes, Domingos, 1953-
Assunto:Matemática - Estudo e ensino Resolução de problemas Professores - Formação Ensino primário Teses de doutoramento (Equivalência) - 1989
Ano:1988
País:Portugal
Tipo de documento:tese de doutoramento
Tipo de acesso:acesso restrito
Instituição associada:Universidade de Lisboa
Idioma:português
Origem:Repositório da Universidade de Lisboa
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author Fernandes, Domingos, 1953-
author_facet Fernandes, Domingos, 1953-
author_role author
contributor_name_str_mv Kansky, Robert J.
Repositório Científico de Acesso Aberto da ULisboa
country_str PT
creators_json_txt [{\"Person.name\":\"Fernandes, Domingos, 1953-\"}]
datacite.contributors.contributor.contributorName.fl_str_mv Kansky, Robert J.
Repositório Científico de Acesso Aberto da ULisboa
datacite.creators.creator.creatorName.fl_str_mv Fernandes, Domingos, 1953-
datacite.date.Accepted.fl_str_mv 1988-01-01T00:00:00Z
datacite.date.available.fl_str_mv 2020-12-31T19:56:20Z
datacite.date.embargoed.fl_str_mv 2020-12-31T19:56:20Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_16ec
datacite.subjects.subject.fl_str_mv Matemática - Estudo e ensino
Resolução de problemas
Professores - Formação
Ensino primário
Teses de doutoramento (Equivalência) - 1989
datacite.titles.title.fl_str_mv Comparison of the effects of two models of instruction on the problem-solving perfomance of preservice elementary school teachers and on their awareness of the problem-solving strategies they employ
dc.contributor.none.fl_str_mv Kansky, Robert J.
Repositório Científico de Acesso Aberto da ULisboa
dc.creator.none.fl_str_mv Fernandes, Domingos, 1953-
dc.date.Accepted.fl_str_mv 1988-01-01T00:00:00Z
dc.date.available.fl_str_mv 2020-12-31T19:56:20Z
dc.date.embargoed.fl_str_mv 2020-12-31T19:56:20Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv http://hdl.handle.net/10451/45627
dc.language.none.fl_str_mv por
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_16ec
dc.subject.none.fl_str_mv Matemática - Estudo e ensino
Resolução de problemas
Professores - Formação
Ensino primário
Teses de doutoramento (Equivalência) - 1989
dc.title.fl_str_mv Comparison of the effects of two models of instruction on the problem-solving perfomance of preservice elementary school teachers and on their awareness of the problem-solving strategies they employ
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_db06
description This eight-week study compared the effects of two heuristic models of instruction in mathematical problein solving on preservice elementary school teachers' problem-solving performance, on their awareness of the problem-solving strategies they employ, and on their perceptions about specific problem-solving issues. Sixty-eight subjects were randomly assigned to one of two treatments. Treatment 1 subjects were expose'd to an implicit method of instruction in problem solving which made organized use of specific problem-solving strategies to solve problems but did not overtly identify or reflect upon the selection or application of those strategies. Treatment 2 subjects were exposed to an explicit model of instruction which named, discussed, purposefully applied, and reflected upon the organized use of specific problem-solving strategies to solve problems. Both treatments taught four problem-solving strategies and employed Polya's four-step model of problem solving; each subject solved or saw the solutions to the same'24 experimenter-selected process problems. Four experimenter-developed instruments were used to collect both quandtative and qualitative data. Analysis of covariance, t-test for independent groups, and chi-square tests were performed to test the three hypotheses of the study at the 05 level. No significant differences were found between the two treatment groups on problem-solving performance, on awareness of the use of problem-solving strategies, or on eight of nine observed small-group problem-solving behaviors. Study findings suggest that preservice elementary school teachers can learn to use problem-solving strategies effectively to solve process problems. Both models of instruction significantly improved preservice teachers' problem-solving performance; the explicit model appeared to be more effective in promoting organization of problem solutions and description of problem-solving procedures. Also, only explicit instruction on Polya's four-step model of problem solving resulted in its conscious use. Study results and conclusions yielded recommendations on the use of the focused holistic scoring, on the study design, and on teacher education in mathematical problem solving.
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spelling porpt_PTThis eight-week study compared the effects of two heuristic models of instruction in mathematical problein solving on preservice elementary school teachers' problem-solving performance, on their awareness of the problem-solving strategies they employ, and on their perceptions about specific problem-solving issues. Sixty-eight subjects were randomly assigned to one of two treatments. Treatment 1 subjects were expose'd to an implicit method of instruction in problem solving which made organized use of specific problem-solving strategies to solve problems but did not overtly identify or reflect upon the selection or application of those strategies. Treatment 2 subjects were exposed to an explicit model of instruction which named, discussed, purposefully applied, and reflected upon the organized use of specific problem-solving strategies to solve problems. Both treatments taught four problem-solving strategies and employed Polya's four-step model of problem solving; each subject solved or saw the solutions to the same'24 experimenter-selected process problems. Four experimenter-developed instruments were used to collect both quandtative and qualitative data. Analysis of covariance, t-test for independent groups, and chi-square tests were performed to test the three hypotheses of the study at the 05 level. No significant differences were found between the two treatment groups on problem-solving performance, on awareness of the use of problem-solving strategies, or on eight of nine observed small-group problem-solving behaviors. Study findings suggest that preservice elementary school teachers can learn to use problem-solving strategies effectively to solve process problems. Both models of instruction significantly improved preservice teachers' problem-solving performance; the explicit model appeared to be more effective in promoting organization of problem solutions and description of problem-solving procedures. Also, only explicit instruction on Polya's four-step model of problem solving resulted in its conscious use. Study results and conclusions yielded recommendations on the use of the focused holistic scoring, on the study design, and on teacher education in mathematical problem solving.application/pdfpt_PTComparison of the effects of two models of instruction on the problem-solving perfomance of preservice elementary school teachers and on their awareness of the problem-solving strategies they employFernandes, Domingos, 1953-Kansky, Robert J.HostingInstitutionOrganizationalRepositório Científico de Acesso Aberto da ULisboae-mailmailto:repositorio@reitoria.ulisboa.ptrepositorio@reitoria.ulisboa.pt2020-12-31T19:56:20Z19881988-01-01T00:00:00ZHandlehttp://hdl.handle.net/10451/45627http://purl.org/coar/access_right/c_16ecrestricted accessMatemática - Estudo e ensinoResolução de problemasProfessores - FormaçãoEnsino primárioTeses de doutoramento (Equivalência) - 19896574668 bytesliteraturehttp://purl.org/coar/resource_type/c_db06doctoral thesishttp://purl.org/coar/access_right/c_16ecapplication/pdffulltexthttps://repositorio.ulisboa.pt/bitstreams/24fe6d42-a122-4a84-af82-2d2ec7a8c38e/download
spellingShingle Comparison of the effects of two models of instruction on the problem-solving perfomance of preservice elementary school teachers and on their awareness of the problem-solving strategies they employ
Fernandes, Domingos, 1953-
Matemática - Estudo e ensino
Resolução de problemas
Professores - Formação
Ensino primário
Teses de doutoramento (Equivalência) - 1989
status SINGLETON
subject.fl_str_mv Matemática - Estudo e ensino
Resolução de problemas
Professores - Formação
Ensino primário
Teses de doutoramento (Equivalência) - 1989
title Comparison of the effects of two models of instruction on the problem-solving perfomance of preservice elementary school teachers and on their awareness of the problem-solving strategies they employ
title_full Comparison of the effects of two models of instruction on the problem-solving perfomance of preservice elementary school teachers and on their awareness of the problem-solving strategies they employ
title_fullStr Comparison of the effects of two models of instruction on the problem-solving perfomance of preservice elementary school teachers and on their awareness of the problem-solving strategies they employ
title_full_unstemmed Comparison of the effects of two models of instruction on the problem-solving perfomance of preservice elementary school teachers and on their awareness of the problem-solving strategies they employ
title_short Comparison of the effects of two models of instruction on the problem-solving perfomance of preservice elementary school teachers and on their awareness of the problem-solving strategies they employ
title_sort Comparison of the effects of two models of instruction on the problem-solving perfomance of preservice elementary school teachers and on their awareness of the problem-solving strategies they employ
topic Matemática - Estudo e ensino
Resolução de problemas
Professores - Formação
Ensino primário
Teses de doutoramento (Equivalência) - 1989
topic_facet Matemática - Estudo e ensino
Resolução de problemas
Professores - Formação
Ensino primário
Teses de doutoramento (Equivalência) - 1989
url http://hdl.handle.net/10451/45627
visible 1