Scale Construction Study based on Item Response Theory: Evaluation of Proficiency in Basic Mathematical Contents

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Autor(es): dc.contributorEscola Estadual Santos Dumont-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorUniversidade do Oeste Paulista (Unoeste)-
Autor(es): dc.contributorUniversidade Federal de Santa Catarina (UFSC)-
Autor(es): dc.contributorUniversidade de São Paulo (USP)-
Autor(es): dc.creatorConeglian Fujii, Tânia Robaskiewicz-
Autor(es): dc.creatorde Souza, Aparecida Donizete Pires-
Autor(es): dc.creatorFürkotter, Monica-
Autor(es): dc.creatorBorgatto, Adriano Ferreti-
Autor(es): dc.creatorCúri, Mariana-
Data de aceite: dc.date.accessioned2025-08-21T20:10:58Z-
Data de disponibilização: dc.date.available2025-08-21T20:10:58Z-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2021-11-30-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1590/1980-4415V35N71A29-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/223348-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/223348-
Descrição: dc.descriptionThis article presents a study on scale construction, based on the Item Response Theory (IRT), to measure the proficiency in basic mathematical contents, which are key to the follow-up of Calculus and similar subjects, for those entering courses in the Exact Sciences area. The one-dimensional logistic model with three parameters was adopted, which establishes zero as the mean and a standard deviation of 1, for individuals’ proficiencies. The estimated proficiencies were transformed in another scale, opting for values adopted by Brazilian evaluation systems: 250 and 50. The measurement instrument consisted of a test with 36 items, with five alternatives each, only one of them correct, that were elaborated based on a reference matrix, divided into three themes, “Space and Form”, “Quantities and Measures”, and “Numbers and Operations, Algebra and Functions”. Each subject is composed of competencies, which describe the skills to be measured. To build the scale, proficiency levels were specified, representing points selected by the researchers to be pedagogically interpreted. Once the anchor levels are established, anchor items were defined based on some criteria, such as the number of correct answers, the percentage of correct answers and the difference between their values, for consecutive levels. Based on these criteria, three methods of items’ positioning were compared, showing the difficulties of interpretation in points of the scale. Such difficulties made it possible to propose another method, segmenting the scale into ranges of proficiency, based on hierarchical groupings of levels, which allowed the scale to be interpreted in all its breadth.-
Descrição: dc.descriptionEscola Estadual Santos Dumont, Paraná-
Descrição: dc.descriptionUniversidade Estadual Paulista (Unesp) Faculdade de Ciências e Tecnologia, Presidente Prudente-
Descrição: dc.descriptionPrograma de Pós-graduação em Educação Universidade do Oeste Paulista (Unoeste), Presidene Prudente-
Descrição: dc.descriptionPrograma de Pós-Graduação em Educação Física Universidade Federal de Santa Catarina (UFSC), Florianópolis-
Descrição: dc.descriptionPrograma de Pós-Graduação em Ciências de Computação e Matemática Computacional Universidade de São Paulo (USP), São Carlos-
Descrição: dc.descriptionUniversidade Estadual Paulista (Unesp) Faculdade de Ciências e Tecnologia, Presidente Prudente-
Formato: dc.format1876-1898-
Idioma: dc.languagept_BR-
Relação: dc.relationBolema - Mathematics Education Bulletin-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectItem response theory-
Palavras-chave: dc.subjectProficiency in basic mathematical content-
Palavras-chave: dc.subjectScale construction and interpretation-
Título: dc.titleScale Construction Study based on Item Response Theory: Evaluation of Proficiency in Basic Mathematical Contents-
Título: dc.titleEstudo sobre Construção de Escalas com Base na Teoria da Resposta ao Item: Avaliação de Proficiência em Conteúdos Matemáticos Básicos-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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