Mixed Ability Grouping in Mathematics: Promoting Equity Part 2
Despite the numerous research studies that support the idea that streaming aka tracking has a negligible impact on student outcomes, many mathematics classes around the world, particularly in the UK, Australia and US, still group students according to ability. Mixed attainment grouping is perceived to be too time-consuming to plan, unconventional and results in a “too challenging” teaching environment. Johnston and Wildy (2018) reported that despite research findings, teachers preferred the ability grouping model as there is a false belief that streaming can help manage student behavior and address the demands of teaching to different ability levels.
Boaler (2008) reported that heterogeneous grouping with a specific set of pedagogical strategies can allow students of different socioeconomic and cultural backgrounds, as well ability levels, to interact in a meaningful way that promotes respect and diversity. All students should be given opportunities to solve complex mathematical problems through collaboration with others and being exposed to different perspectives in order to truly promote equity in the mathematics classroom.
There is much evidence to support that mixed ability grouping in mathematics appears to strongly benefit the majority of students (Venkatakrishnan & Wilaim,2003; Boaler, 1997; Linchevski & Kutscher, 1995), which includes lower attaining students.
In order to cater for all students in a mixed attainment setting, teachers to need to include differentiated learning opportunities and design mathematical tasks which are high ceiling, low threshold. These types of tasks allow students to enter the learning engagement at their own levels of achievement and exit the learning experience according to their background knowledge and capability. Differentiated learning can also be supported by differentiated content, product or process (Tomlinson, 2003), and Boaler et al. (2000) reported that a mixed attainment class was more likely to employ these practices than a tracked class. In the same study, students also reported that teachers were more likely to give work that was more appropriate to their level and pace in a mixed ability setting. In order for teachers and schools to be more open minded to adopt a mixed attainment system, exemplars of effective mixed attainment strategies and curriculum materials need to be made readily available.
The current trend in UK mathematics education is the adoption of the mastery approach which was developed from Asian mathematics programs such as the Shanghai and Singapore math teaching models. The focus on mastery mathematics from Shanghai is on depth of understanding through conceptual variation or procedural variation (Gu et al., 2017). The whole class moves in a mixed attainment setting through the same content and the emphasis is on learning concepts on a deeper level rather than on a faster level. Differentiation is achieved through this depth rather than through acceleration. The mastery method also borrows from the Singapore mathematics Concrete Pictorial Abstract (CPA) or also called the Concrete Representational Abstract (CRA) model (Bruner, 1966). Both models support a mixed attainment setting, holding a strong belief that every student is capable of learning mathematics on a deep level.
Research indicates that ability grouping in mathematics is not beneficial for student attainment and several negative impacts of ability grouping include lower self-esteem issues with students and low expectation from teachers in lower attainment groups.
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