Aisling Leavy

The homogeneity that once represented Irish society will soon be represented only in the annals of history. The influx of people of diverse nationalities, together with the increasing presence of children with physical and intellectual disabilities, and children coming from a range of non-traditional backgrounds will make our classrooms increasingly diverse over time. Together with the great opportunities that this diversity presents come a number of challenges. A major challenge lies in the preparation of our future teachers to meet the needs of and provide equitable learning opportunities for children in our classrooms. This study examines preservice teachers’ exposure to and beliefs about diversity. Two instruments were administered to 286 preservice teachers (the Prior Experiences Related to Diversity, and the Personal and Professional Beliefs about Diversity Scale). The findings indicate that preservice teachers’ exposure to diversity is very limited, in particular their exposure to members of the Travelling community, and refugees and asylum-seekers. High levels of tolerance and support were expressed toward religious, cultural, sexual and language diversity. Most evident was limited understanding of the roles played by gender in contributing to inequity in society and the importance of gender equitable practices in educational contexts. Another finding of concern was the contrasting ways in which ethnic disparities in academic achievement were attributed, with members of the Travelling community being viewed less positively than those from other ethnic groups.

The purpose of the study was to identify strategies used by preservice elementary teachers to index distributions of data. A secondary purpose of the study was to investigate whether representational form influenced the type of representative values constructed. Two hundred eighty‐three preservice teachers were administered a selection of tasks requiring them to construct representative values for a variety of distributional shapes. Participants were asked to provide justifications for their chosen representative measures. Data were analyzed from two perspectives: nature and adequacy of representative measure. Results indicated that when presented with skewed data sets, over half of the participants constructed poorly representative values. Symmetric data sets were best indexed with 67% of participants constructing highly representative values. Representational form played a significant role in determining representative values. Data presented graphically were more likely to be represented using measures of variability than were those presented nongraphically. Conversely, measures of central tendency were more frequently used to represent nongraphical data. The information arising from this study indicates that many preservice teachers construct poorly representative values to index data sets and utilize identical measures of representativeness regardless of distributional shape. The findings of the study highlight the need for exploratory data activities at the preservice level, call for provision of experiences affording insights into construction of representative values, and thus, have implications for the design of preservice mathematics education curricula.