Abstract

The research presented in this article reports on the results of a case study examining the classroom practice of one early career Grade 4 teacher (Nox, pseudonym) as she teaches equivalent fractions. The goal was to explore the ways and extent to which her instruction reflected a dialogical teaching approach, defined as a pedagogical approach underpinned by five specific principles that can be enacted through a range of possible talk strategies to achieve sustained participation of learners and thus enhance meaningful learning. I provide a pedagogical activity to illustrate to teachers how, by instigating and developing classroom talk in the primary classes, a dialogic teaching sequence may be implemented. However, the majority of the existing literature on dialogic teaching stems from studies conducted in Asian, European, and North American countries, whereas systematic research on dialogic teaching across international contexts remains limited. Nox was interviewed after obtaining observational data to seek clarity on some of the observed instructional practices. Analysis of transcripts using the notion of dialogic teaching as a theoretical lens revealed that there was little evidence of Nox’s attempts to use talk to make learning of equivalent fractions a cumulative process. In addition, time constraint was the most significant factor in Nox’s teaching of equivalent fractions: she considered the curriculum too congested. Implications are drawn for evaluating dialogic teaching in primary mathematics classrooms. Future, larger studies may shed light on the extent of these results and, if need be, a significant investment on initial teacher training may be necessary to underscore the value of dialogic teaching in enhancing meaningful learning of, at least, equivalent fractions.

Highlights

  • Fractions is one of the most important topics in mathematics, and one of the most multifaceted (Pedersen & Bjerre, 2021)

  • To provide answers to the first research question meant analysing ways Nox structured her classroom talk, especially her questions. This was a way to search for evidence of dialogic teaching of equivalent fractions as her lesson unfolded

  • The question remains whether her instructional practice showed traces of the principles of dialogic teaching – the lens through which the data in this study was analysed – that would have enhanced learning of equivalent fractions

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Summary

Introduction

Fractions is one of the most important topics in mathematics, and one of the most multifaceted (Pedersen & Bjerre, 2021). An important part of this domain of mathematics is fraction equivalence. Meaningful learning of fraction equivalence is crucial for learners’ success in algebra, a gatekeeper to post-school education ‘and the careers such education affords’ Previous research has documented that meaningful learning of fractions by learners, constructing or identifying equivalent fractions and the development of equivalent sets of fractions, has been met with difficulty (Aliustaoğlu, Tuna, & Biber, 2018; Namkung, Fuchs, & Koziol, 2018; Önal & Yorulmaz, 2017; Pearn, 2003). Post and DelMas (2002) suggested that the difficulties are associated with mathematics instruction that tends to focus more on simple part-whole shading tasks, leaving little time to develop an understanding of the meaning of fractions in Grade 4. It is for these reasons that the study focused, in the main, on a teacher’s instructional practices in the domain of equivalence

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