Statistics and the recency and place of statistics
The scope of statistics and the recency and place of statistics in the school curriculum must be considered when discussing the beliefs of teachers involved in statistics education. These beliefs may be very different according to the age and stage of their students. Teachers also have a variety of prior life and academic experience. Some may have formally studied Statistics problems at school and some may not; some may have taken a course in Statistics help as part of their academic teacher training and others may not. For those who have formally studied statistics, their views as a teacher may be closely aligned to their views as a student, especially if they have not been teaching for very long. If, on the other hand, some Statistics tutor/teachers’ encounters with Statistics questions and Statistics answers have been within other disciplines or in everyday life situations then this experience may inform their belief framework. Finally, even if they have completed a statistics course in their pre-service training, the resulting beliefs may vary because of the relative emphases on theoretical statistics, applied statistics, and statistics education issues within the course. Nowadays free Statistics help is easily to find on the internet.
With this background in mind, there are a number of domains in which beliefs seem to be significant for teachers and the teaching of statistics in schools. In 1997, Gal et al. proposed some key areas for investigation, such as what teachers believe about statistics itself, the relationship between mathematics and statistics, the place of statistics in the curriculum, what statistics is important for students to learn, and how students learn statistics. The sections that follow examine these questions and some results and speculations will be presented. Shaughnessy (2007, p. 1001), however, points out that despite the years since Gal and colleagues proposed their questions, and despite a reiterated call for work in the area by Batanero, Garfield, Ottaviani, and Truran (2000), very little work has been done. The surveys by McLeod (1992), on students’ beliefs in mathematics more generally, and by Thompson (1992) and Philipp (2007) on teachers’ beliefs, give insights into possible issues, but statistics education is absent from their considerations. There were only a handful of papers on the topic presented at the ICMI/IASE conference in 2008, and what little has been done involves case studies and/or small or convenience samples. Consequently, results about both teachers’ beliefs in mathematics education and tertiary students’ beliefs in statistics education may provide grounds for speculation about teachers and statistics education. Another section will consider influences on and impacts of beliefs, and belief change.