Browsing by Author "Gomes, Alexandra"
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- Conceções de professores de Matemática sobre a prova matemáticaPublication . Viseu, Floriano; Gomes, Alexandra; Menezes, Luís; Martins, PaulaEl prueba tiene un papel fundamental en la construcción del saber matemático, razón por la que adquiere relevancia en los actuales programas portugueses del ciclo básico. Como las concepciones que los profesores tienen sobra el prueba influencian la forma en que se aborda en la clase, pretendemos indagar sobre las concepciones de los profesores sobre diferentes aspectos del prueba. Adoptando un abordaje cuantitativo, hemos recogido los datos por medio de un cuestionario. Para los profesores, el prueba matemáticas es diferente de procedimientos experimentales usados en otras áreas de conocimiento y tiene como objetivo verificar y explicar la veracidad de una afirmación. Los pruebas geométrico y analítico son los que más se trabajan. Aunque consideren que el prueba es difícil para los alumnos, reconocen que desarrolla el raciocinio y la comunicación matemática, así como la comprensión de conceptos matemáticos. En términos curriculares, están de acuerdo con la presencia del prueba desde los primeros cursos pero privilegian la intuición matemática sobre el prueba.
- Conceções de Professores do Ensino Básico sobre a Prova Matemática: influência da experiência profissionalPublication . Viseu, Floriano; Menezes, Luís; Fernandes, José António; Gomes, Alexandra; Martins, Paula MendesProof is an activity that plays a key role in the construction of mathematical knowledge, which is why it acquires relevance in mathematics programs. Admitting that teachers' conceptions about proof influence how it is handled in the classroom, we tried to investigate the conceptions of Portuguese mathematics teachers from the 3rd cycle of basic education (grade 7 to 9) on different aspects of mathematical proof and the relationship that the teachers’ experience has in these conceptions. Adopting a mixed methodological approach, we collected data through a questionnaire answered by 72 teachers, and an interview with two teachers with different professional experience. The results show that teachers, especially those with less experience, consider that mathematical proof has a distinct nature from other disciplines, it is an essential activity for the construction of mathematical knowledge and its function is to verify and explain the truth of a statement by developing reasoning and mathematical communication. With respect to student participation in the activity of proving, teachers with more teaching experience are the ones that most highlight it, which allows students to realize the nature of this activity. In curriculum terms, teachers with less experience are the ones that most agree with the presence of proof in early grades, while emphasizing that this activity only makes sense in some program topics.
- Is this a proof? Future teachers’ conceptions of proofPublication . Gomes, Alexandra; Viseu, Floriano; Martins, Paula; Menezes, LuísIn this paper we present part of an ongoing investigation that aims at disclosing the conceptions of proof held by future elementary school teachers. Using a qualitative and interpretative approach, we analyzed data from 66 questionnaires and results show that almost all participants recognize the formal aspect of an algebraic proof but they also accept some examples as proof.
- Is this a proof? Future teachers’ conceptions of proofPublication . Gomes, Alexandra; Viseu, Floriano; Martins, Paula M.; Menezes, LuísIn this paper we present part of an ongoing investigation that aims at disclosing the conceptions of proof held by future elementary school teachers. Using a qualitative and interpretative approach, we analyzed data from 66 questionnaires and results show that almost all participants recognize the formal aspect of an algebraic proof but they also accept some examples as proof.
- What teachers think about mathematical proof?Publication . Menezes, Luís; Viseu, Floriano; Martins, Paula; Gomes, AlexandraThis paper presents a quantitative study, initial part of a larger work that also involves a qualitative component, which aims to study the conceptions of mathematics teachers in 5th to 9th grades (n=115) about mathematical proof. The results, that are based on the application of a questionnaire, show that teachers, despite their different academic backgrounds (all of them with a background in mathematics, but some performed courses with a strong pedagogical component and others with a predominant mathematical component), recognize the nature of proof and its importance in student learning, showing awareness of the need to adapt proof to students capabilities
- What teachers think about mathematical proof?Publication . Menezes, Luís; Viseu, Floriano; Martins, Paula M.; Gomes, AlexandraThis paper presents a quantitative study, initial part of a larger work that also involves a qualitative component, which aims to study the conceptions of mathematics teachers in 5th to 9th grades (n=115) about mathematical proof. The results, that are based on the application of a questionnaire, show that teachers, despite their different academic backgrounds (all of them with a background in mathematics, but some performed courses with a strong pedagogical component and others with a predominant mathematical component), recognize the nature of proof and its importance in student learning, showing awareness of the need to adapt proof to students capabilities.