Hannah Bartholomew

It’s not which school but which set you’re in that matters: the influence of ability-grouping practices on student progress in mathematics

The mathematics achievement of a cohort of 955 students in 42 classes in six schools in London was followed over a four-year period, until they took their GCSEs in the summer of 2000. All six schools were regarded by Ofsted as providing a good standard of education, and all were involved in teacher-training partnerships with universities. Matched data on key stage 3 test scores and GCSE grades were available for 709 students, and these data were analysed in terms of the progress from key stage 3 test scores to GCSE grades. Although there were wide differences between schools in terms of overall GCSE grades, the average progress made by students was similar in all six schools. However, within each school, the progress made during key stage 4 varied greatly from set to set. Comparing students with the same key stage 3 scores, students placed in top sets averaged nearly half a GCSE grade higher than those in the other upper sets, who in turn averaged a third of a grade higher than those in lower sets, who in turn averaged around a third of a grade higher than those students placed in bottom sets. In the four schools that used formal whole-class teaching, the difference in GCSE grades between top and bottom sets, taking key stage 3 scores into account, ranged from just over 1 grade at GCSE to nearly 3 grades. At the schools using small-group and individualised teaching, the differences in value-added between sets were not significant. In two of the schools, a significant proportion of working class students were placed into lower sets than would be indicated by their key stage 3 test scores.

Evidence‐based practice in science education: the researcher–user interface

One aim of the Evidence‐based Practice in Science Education (EPSE) Network was to obtain a better understanding of the extent to which practitioners in science education recognise and make use of research findings in the course of their normal practice. The aim was realised through an interview and focus‐group study of views of practitioners on the research–practice interface. The sample included primary and secondary science teachers (including a subset with direct experience of research), curriculum policy‐makers, in‐service trainers and authors of science textbooks and teaching materials. Questions explored perceptions of the nature, actual use and potential of research in science education. At a general level, teachers and other practitioners characterised educational research, variously, as: purposeful; carried out in a systematic manner; useful in informing action; and large scale. To be viewed as convincing, research evidence had to be seen as transferable, to have resonance with teachers’ experience and beliefs, and to have a rigorous methodology. Widespread use of research evidence in the classroom seems to depend on at least two factors: translation of research findings into tangible and useful outcomes, such as teaching materials resulting from research projects; and the presence of a professional culture which encourages both exploration of research and changes to practice. Increasing use of research evidence requires researchers to translate outcomes of research into practical actions and practitioners to be skilled in using evidence systematically in evaluation of their own practice. Networks of researchers and practitioners may further the aims of evidence‐based practice.

Invisible and Special: Young Women's Experiences as Undergraduate Mathematics Students.

This paper reports on young women students’ participation in their undergraduate mathematics degree programme: their gendered trajectory is characterized in terms of their being both ‘invisible’ in the dominant university mathematics community and yet ‘special’ in their self‐conception. It draws on data collected from a three‐year longitudinal project investigating students’ experiences of undergraduate mathematics at two comparable traditional universities in England. Specifically, students’ narratives are interpreted as providing insights into their defensive investments in their particular ways of participating. An interpretive feminist perspective is used to claim that these young women are involved in the ongoing redefining of the gendering of participation in mathematics, and conveys how they manage to choose mathematics, and achieve in university mathematics, whilst in many respects adhering to everyday views of femininity. Leitmotif No one could see [the witch] Serafina from where she was; but if she wanted to see any more, she would have to leave her hiding place. …There was one thing she could do; she was reluctant because it was desperately risky, and it would leave her exhausted; but it seemed there was no choice. It was a kind of magic she could work to make herself unseen. True invisibility was impossible, of course: this was mental magic, a kind of fiercely held modesty that could make the spell worker not invisible but simply unnoticed. Holding it with the right degree of intensity, she could pass through a crowded room, or walk beside a solitary traveller, without being seen. (Pullman, 1998, p. 35)

It's Not the Done Thing: Social Norms Governing Students' Passive Behaviour in Undergraduate Mathematics Lectures.

Students often play a passive role in large-scale lectures in undergraduate mathematics courses: they observe the lecturer demonstrate mathematical procedures, but they rarely engage in authentic mathematical activity themselves. This study uses semi-structured interviews of undergraduate students to investigate the implicit and explicit social norms and expectations that influence students to maintain their passive roles during lectures. Students were aware that their passivity was influenced by social norms, but perceived these norms as necessary for allowing the lecturer to get through the content in the allotted lecture time, while enabling students to avoid being publicly embarrassed in the lecture. However, the students appreciated opportunities to work on examples in small groups during lectures. We argue that the success of small group interactions during large-scale lectures depends on students and lecturers establishing supportive social norms, and adjusting their lecture goals from ‘covering the content’ to ‘developing mathematical understanding’.