Abstract
In this symposium, four aspects of one major research project are presented. The
project, Overcoming Barriers to Mathematics Learning, is funded by The Australian
Research Council and the Victorian Department of Education and Training.
Focus groups were used to identify and described aspects of “implicit pedagogy†that
may present barriers for some children when open questions are used as a basis for the
teaching of mathematics. These focus groups are the subject of the first paper, Perceptions
of barriers to numeracy. Mousley describes the focus-group methodology and some
findings, and raises issues concerning the use of focus groups. A product of this initial
research stage was a manual that presents advice to teachers about the barriers identified.
In The potential of open-ended mathematics tasks for overcoming barriers to learning,
Sullivan describes some of the considerations in choosing tasks to be used as the prompts
for mathematics learning experiences. He discusses the advantages and possible limitations
of using open-ended tasks in mathematics teaching, and the pedagogies that teachers can
use to avoid potential disadvantages to some students.
In the third paper, Teachers’ perceptions of how open-ended mathematics tasks assist
in overcoming barriers to learning, Turner Harrison reports data from interviews with
teachers who sought to implement the pedagogies recommended as part of the project. The
data indicate that it is possible to use open-ended tasks effectively and inclusively.
Finally, in Disrupting the pedagogic relay using open-ended tasks, Zevenbergen gives
an account of the implementation of the advice in a Queensland school. The research
context here includes Indigenous students learning mathematics in a language that is not
their home language. The paper reports ways in which a teacher adjusted patterns of
language and work to accommodate the students.
PETER SULLIVAN & JUDITH MOUSLEY & ROBYN ZEVENBERGEN & Robyn Turner Harrison & PAM HAMMOND & Carmel Diezmann