Our discussion of social justice begins by embracing both "distribution" and "recognition" aspects of social relations (Vincent, 2003). The first aspect considers the way that goods, knowledge, skills, rights, etc. are distributed among social groups; the second aspect focuses on aspects of society structuring social encounters and relations--modes of communication, "treatment," respect. Our approach to social justice focuses not only on the dimension of gender, but also on social class and ethnicity: we consider that concern with these latter forms is crucial for a full appreciation of the structural and the interactional aspects conveyed by the concept (Arnot, 2002; Gillborn & Mirza, 2000). In methodological terms we argue that researching the questions posed by a social justice agenda, will require both "quantitative" and "qualitative" methods--within any substantial research programme, and even within individual studies. Our emphasis on the theoretical aspects of formulating a research problem points to the importance of a third facet of social justice, to do with "representation" and power. We discuss several examples of fruitfully combining different aspects of social justice and multiple methods of research. In particular, we argue that considerations of social justice, and a related "hybrid" methodology, will play a crucial role in our ongoing study of the (re)production of images of mathematics in popular culture, and in particular advertising.