Designing open-ended problems to challenge preservice teachers' views on mathematics and pedagogy

This study examines preservice elementary teachers' reported experiences of posing open-ended mathematics problems. Responses of 33 students in a mathematics teacher education course were analysed for the strategies participants used, what they learned and the challenges encountered from an opportunity to collect digital images and pose open-ended problems related to those images. Results indicate that preservice teachers reported a shift in the ways they viewed mathematics and how it might be taught. The school curriculum both constrained and provided possibilities for preservice teachers in noticing mathematics beyond the textbook and mathematics classroom. This study adds to our understanding of teaching as a learning practice and the art of posing mathematical problems as a significant aspect of that practice.

School mathematics and ICT: are we doing enough? - The talk

The author discusses how to improve the use of ICT in mathematics education. A number of measures are recommended including the need to conduct an ICT-and-mathematics audit across the curriculum. The author points out that ICT is changing traditional understandings of literacy and numeracy and how it is taught. ICT approaches may help to teach things in slightly different ways, but will not necessarily do this any better than old ways. The author highlights that teaching is changing from face-to-face oral discussion to virtual talk, with ICT just the latest technology in a long line of technological innovations that have transformed teaching since the nineteenth century.

Calculators, mathematics and young children : a study of six children using calculators as part of the mathematics curriculum during their first two years of school

The thesis investigates the role a calculator can play in the developing number knowledge of three girls and three boys as part of their mathematics program, during their first two years at primary school. Random sampling was used initially to select six girls and six boys from the twenty-four children entering a 1993 prep class. These twelve children were interviewed on entrance to school and based on the performance of the twelve children on the initial interview, a girl and a boy were chosen from the higher, middle and lower achievers to take part in the full study. The class teachers involved were previously participants in the ‘Calculators in Primary Mathematics’ research program and were committed to the use of calculators in their mathematics program. A case study approach using qualitative methods within the activity theory framework is used to collect relevant data and information, an analysis of five interviews with each child and observations of the children in forty-one classroom lessons provides comprehensive data on the children's developing number knowledge during the two years. The analysis questionnaires establishes each teacher's perceptions of the children's number learning at the beginning and end of each year, compares teacher expectations with children's actual performance for the year and compares curriculum expectations with children's actual performance. A teacher interview established reasons for changes in teaching style; teacher expectations; children's number learning; and was used to confirm my research findings. An activity theory framework provides an appropriate means of co-coordinating perspectives within this research to enable a description of the child's number learning within a social environment. This framework allows for highlighting the mediation offered by the calculator supporting the children's number learning in the classroom. Levels of children's developing number knowledge reached when working with a calculator and as a result of calculator use are mapped against the levels recommended in ‘Mathematics in the National Curriculum’ (National Curriculum Council, December 1988), and the Curriculum and Standards Framework: Mathematics (Board of Studies 2000). Findings from this comparison illustrate that the six children's performance in number was enhanced when using a calculator and indicate that on-going development and understanding of number concepts occurred at levels of performance at least two years in advance of curriculum recommendations for the first two years of school.

Subject cultures and pedagogy : comparing mathematics and science

This research found that a teacher is both a member of a culture and an individual, building practice within parameters set by a dynamic and multifaceted subject culture. Feelings of competence and confidence grow as an aesthetic understanding of what it means to know, teach, and appreciate a subject.

Sex differences in achievement in year 12 mathematics and non-routine problem solving

In 1991 all Victorian year 12 students undertook the new Victorian Certificate of Education Mathematics Study designed by the Victorian Curriculum and Assessment Board. This paper presents the results of a study into sex difference in achievement in the new VCE Mathematics study in Victoria. An important goal of the study designers was to encourage more equal participation in senior secondary mathematics by females and males and to include assessment of mathematical skills previously not assessed in a year 12 course in Victoria. These new tasks could conceivably change the degree and direction of sex difference in achievement in senior secondary mathematics.

Making mathematics and science relevant through story

The article examines the relevance of mathematics and science to story. It aimed to explore how mathematics and science teachers experienced its subject cultures, to identify the pedagogies that appeared to be subject culture's representative, and to know the ways in which pedagogy was shaped. The result has identified four categories such as illustrations of relevance, explorations of contexts, humanising stories of historical and contemporary heroes, and representations of human endeavour.

Subject matters of science, technology, mathematics and engineering

This chapter offers a critical review of curriculum in the STEM disciplines, overviewing contemporary context and issues around the STEM acronym as a contested space, issues of inquiry, social justice, current concerns with student engagement and their history, theoretical perspectives on teaching and learning in these disciplines, and key forms and foci of inquiry into STEM curriculum.

Peer groups, power and pedagogy : the limits of an educational paradigm of separation

In contrast to the plethora of literature that suggests that the increasing gulf between teachers and young people is due to the shifting interests and expectations of young people, the focus of this paper is on the roles teachers play in this relationship. Provoking interest is a concern that some of the assumptions that underpin 'mainstream' pedagogic theory and practice might actually contribute, albeit unwittingly, to hardening rather than softening the communication divide. Drawing on an incident that took place between a group of 7–8 year old males in a primary school setting, the authors reveal the limits of a teaching paradigm that encourages teachers to adopt authoritative positions from which to separate and individualise student behaviour. In theoretical terms, they argue that the application of this paradigm asserts an exaggerated notion of agency to individuals in the construction of identity. In practical terms it promotes processes that individualise behaviour as a way of dealing with miscreance. Together these manifest themselves as a 'pedagogy of separation'. The process of building more productive pedagogic relationships, it is concluded, needs to begin with teachers better recognising and engaging with the collective investments of young people.