Effect of social background on the development of probabilistic concepts

This research explores how the social backgrounds of a group of students contributed to their intuitive knowledge in probabilistic reasoning, and influenced their processing of the associated mathematics. A group of Year 11 students who came from families for whom the phenomenon of track gambling formed an important part of their cultural background was identified. Another group consisting of students in the same mathematics course (Year 11 Maths in Society) but from families for whom the phenomenon of gambling in any form was totally absent from their social backgrounds was identified. Twenty students were selected from each group. The research employed a qualitative methodology in which a phenomenographic approach was used to investigate the qualitatively different ways in which individuals within the two groups thought about concepts involving probabilistic reasoning, and processed the related mathematical skills and concepts. The cognitive processes involved in the applications of probabilistic and related mathematical concepts in a variety of both gambling and non-gambling situations were studied in order to determine whether this culturally based knowledge could be viewed as a type of ‘ethnomathematics.’ Data were obtained through individual structured interviews which enabled patterns of reasoning to be compared and contrasted. Analyses of these data enabled intuitive mathematical understandings possessed by the gamblers not only to be identified, but also to be linked with their social backgrounds. Also differences between how individuals in the two groups processed probabilistic and associated mathematical knowledge were determined. This research complements and extends existing knowledge and theories related to culturally-based mathematical knowledge. Implications for further research, for classroom teaching, and for curriculum development in the study of probability in senior secondary mathematics classes are discussed.

Clinical teachers' conceptions of nursing

Lack of knowledge exists about clinical teachers’ understanding of nursing. A likely relationship between teachers’ conceptions of nursing and what they focus on when teaching nursing students in the clinical setting means that the identification of different conceptions of nursing is important. This study investigated clinical teachers’ experiences of nursing and clinical teaching of undergraduate nursing students. This article reports on clinical teachers’ conceptions of nursing. Semistructured interviews of 20 nurses employed as clinical teachers in Australian universities were conducted. Data were analyzed using a phenomenographic approach. The findings suggest that nursing is conceived as performing tasks; providing appropriate care; providing individualized patient care aimed at achieving patient outcomes; or collaborating with health care team members to provide appropriate, individualized patient care aimed at achieving patient outcomes. Insights will assist with future preparation and support of clinical teachers, the education of nursing students, and improved curriculum design.

Using elicitation interview within a phenomenographic framework : developing the breadth of research designs associated with game based approaches

This paper describes how elicitation interview technique was used within a phenomenographic research design to explore physical education teachers’ experiences of teaching games using a Game Based Approach (GBA). Participants taught in one of two different international contexts, Australia or England, and all had some experience of using a GBA to teach games. The focus of the paper is the presentation and discussion of the unique research design used to generate understanding about GBA teaching experiences as well as extending the examination of GBAs from different philosophical viewpoints. Authors’ reflections on the utilised research design are presented with concluding discussion identifying further research opportunities relating to GBAs in teaching and coaching contexts.