Abstract

CARDOSO, Paula  and  MAMEDE, Ema. Knowing and teaching fractions: conceptions and practices of elementary school teachers. Educ. Pesqui. [online]. 2023, vol.49, e261007.  Epub June 22, 2023. ISSN 1678-4634.  https://doi.org/10.1590/s1678-4634202349261007.

A teacher’s knowledge determines the quality of his or her practices. However, a teacher is not always able to put her or his ideas into practice. Concerning rational numbers, it is recognized that this is an important topic, a difficult one to teach, though. Often, we see a misalignment between teachers’ ideas about fractions and their ideas about how to teach this topic. This paper analyses elementary teachers’ conceptions and ideas about practices regarding fractions, whose goal is to answer the following questions: 1) What ideas do teachers have about fractions? 2) How do they understand their teaching should be? For this purpose, thirty-one (31) Portuguese elementary teachers from public schools, with several years of teaching experience, were interviewed. An individual semi-structured interview was conducted, seeking to explore concepts and properties of fractions as well as problem-solving involving fractions. The results obtained revealed teachers’ weaknesses in mathematical knowledge associated with the concept of fraction, namely, in the domain of the different meanings of fraction, as well as in the interpretation of the different ways of representing fractions. Regarding problem-solving related to fractions, teachers’ weaknesses were also identified, particularly in situations involving discrete quantities and in marking fractional numbers on the number line. These results seem to appeal to an ideal of teacher training capable of continuously supporting and updating teaching practices.

Keywords : Teaching fractions; Teachers’ conceptions; Didactic knowledge; Elementary school.

        · abstract in Portuguese     · text in Portuguese     · Portuguese ( pdf )