Browsing by Author "Julie, Cyril"

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    The integration of semiotic resources and modalities in the teaching of geometry in a Grade 9 class in a South African high school : the four cases of congruency
    (Education Association of South Africa, 2020) Smith, Charles Raymond; Julie, Cyril; Gierdien, Mohammad Faaiz
    In this article we examine the nature of inter-semiotic and intermodal construction in the exposition of a solution for a geometry rider. In the tradition of hermeneutic phenomenology, this case study involved an exploration of the oral discourse and visual texts used in a mathematics lesson. This research was intended to contribute to the understanding of the difficulties in teaching and learning geometry at school level. Results indicate that relational markings, oral and visual modalities in conjunction with gesturing constitute the primary semiotic resources employed by the teacher. This leads to the conclusion that the semiotic perspective, in conjunction with other perspectives on geometry teaching in schools, may provide a mechanism by which to reflect on the complexity of geometry teaching and learning in schools.
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    Keeping sites in sight : conversations with teachers about the design of toolkits peculiar to a continuous professional development initiative
    (AOSIS, 2019-03) Gierdien, Faaiz; Smith, Charles Raymond; Julie, Cyril
    The aim of this article is to shift the notion of ‘sites’ as places of work peculiar to continuous professional development (CPD) to a theoretical level, independent of, yet intimately connected to, their physical meanings, for example universities and schools. Most CPD initiatives have to contend with at least one of these two sites, in which university-based mathematics educators and school teachers can have different and at times overlapping ways of talking about the same mathematics. Using research on number and operations, non-visually salient rules in algebra and algebraic fractions, and analytic tools and notions peculiar to conversation analysis and ethnomethodology, the authors identify and analyse site-related issues in the design of particular problem sets in Grade 8 and Grade 9 toolkits and related conversations between a mathematics educator and participating teachers. The article concludes with the implications of ‘keeping in sight’ ways in which universities and schools talk and work when it comes to designing and discussing toolkits.
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    Minimal change in achievement in high-stakes mathematics examinations in low socio-economic status environments in post-apartheid South Africa
    (University of the Free State, 2024-11-03) Nel, B. P.; Julie, Cyril; Gierdien, F.; Simons, M.; May, B.
    Since various curriculum versions have been implemented in the post-apartheid era, achievement results in high-stakes mathematics examinations are still structured along socio-economic status lines. Continuing professional development (CPD) for mathematics teachers is widely viewed as a mechanism to address this issue. This study uses a specific CPD project to explore the question, “Are three decades-long enough to enhance achievement outcomes in high-stakes mathematics examinations for learners from low socio-economic status environments?” Bricolage is employed as the underlying research framework due to the multifaceted nature of CPD. In one of the residential institutes in 2018, a 7-item questionnaire, based on features of effective CPD and containing four ordinal response categories, was administered to 55 participating teachers (30 females and 25 males). To acknowledge the complex nature of CPD, themes were developed and primarily analysed using descriptive statistics. The analysis revealed that, although mathematics teachers respond favourably to practising previously taught material, there are factors that hinder the sustainability of such an approach. It is concluded that 30 years is not a sufficient timespan to expect significant change. It is recommended that drastic measures be taken regarding the continuing professional development of mathematics teachers to address disparities along class and racial lines.