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The formulation of hypotheses in mathematical modelling activities

Almeida, Lourdes Maria Werle de; Sousa, Bárbara Nivalda Palharini Alvim; Tortola, Emerson (2021). The formulation of hypotheses in mathematical modelling activities. Acta Scientiae. Revista de Ensino de Ciências e Matemática, 23(5), pp. 66-93 .

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Resumen

Background: the formulation of hypotheses in mathematical modeling activities, although it has been pointed out as one of the specificities of this kind of activities, it is still little discussed by the research in the area of mathematical modeling. Purpose: in this paper we look for influences on mathematical modeling activities arising from the formulation of hypotheses. Design: our statements are based on a theoretical framework about wittgenstein's philosophy and previous studies related to hypotheses’ formulation as well as an empirical research. Scenario and participants: modeling activities were performed by groups of students from different degrees. Data collection: in modeling classes, data were collected through audio and video recordings. The students also delivered the written records they produced. Findings: the findings indicate three categories for the formulation of hypotheses: hypotheses are formulated based on the students' view of the situation; hypotheses are based on students' experiences; hypotheses influence students' choices at different stages of the activity's development. Conclusion: the research concludes that the hypotheses determine the idealized situation, guide the mathematization and direct the students' actions in the development of the activity. In wittgenstein's philosophical perspective, hypotheses are a way of perceiving reality and new experiences can lead to other formulations.

Tipo de Registro:Artículo
Términos clave:06. Aprendizaje > Procesos cognitivos > Modelización
12. Investigación e innovación en Educación Matemática > Tipo de investigación > Empírico
12. Investigación e innovación en Educación Matemática > Fuentes de información > Pruebas
11. Educación Matemática y otras disciplinas > Educación Matemática desde otras disciplinas
Nivel Educativo:Educación Secundaria Media (17 y 18 años)
Educación Secundaria Básica (13-16 años)
Educación Primaria (7-12 años)
Código ID:28711
Depositado Por:Monitor Funes 2
Depositado En:13 Jun 2022 08:17
Fecha de Modificación Más Reciente:13 Jun 2022 08:17
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