The effects of technology on making conjectures: linking multiple representations in learning iterations

Numerous studies have suggested that different technologies have different effects on students' learning of mathematics, particularly in facilitating students' graphing skills and preferences for representations. For example, there are claims that students who prefer algebraic representations can experience discomfort in learning mathematics concepts using computers (Weigand and Weller, 2001; Villarreal, 2000) whilst students using calculators preferred graphical representation (Keller and Hirsch, 1994). Although, arguably, the teaching of mathematics has traditionally centred more on procedural skills, it is possible that students' understandings, preferences and difficulties in relating different representations might be explained by analysing students' thought processes in terms of the making of conjectures. Within the topic of iteration, this study investigated how using graphical calculators, and PC-based graphing software changed A-level mathematics students' conjectures in relation to: 1) students' understanding of the concepts of iteration, and their discovery of the properties of particular iterations; 2) students' preferences for representations; and 3) the way the students express their conjectures. Students were observed tackling iteration questions using graphical calculators, and, later, graphing software. The students' written inferences were collected using two parallel worksheets and were subsequently analysed using a coding scheme developed based on previous studies in the literature, and focusing on students' conjectures as a unit of analysis. The investigation found similar results to those of previous studies in terms of graphing difficulty, linking different representations and preferences for representations. However, the results also hinted that the computer positively influences students' understanding of iteration and their movement between representations more than the graphical calculator; and this possibility requires further research

Linking multiple representations in exploring iterations: does change in technology change students' conjectures?

This study investigates changes in conjectures of four typical students when they are using different kinds of technologies, particularly in relation to their preferences for representations and the way they express their conjectures in understanding the concept and properties of iteration. The first stage of the research was conducted using pen and paper (PP) with graphical calculator (GC) in a classroom while the second stage used PP with graphical software (GS) in a laboratory. The findings suggest, with important caveats, that different technologies significantly influence the students' preferences for representations. Also, this study shows that students' conjectures can be an effective unit of analysis in researching students' understanding of iteration and preferences for representations

Young Women's Perceptions and Experiences of Becoming a Research Physicist

The research presented here focuses on young women's (under 30 years of age) views of their future careers in physics research and the barriers and constraints they have already experienced and those they anticipate in the future. This research is timely because of girls' increasing success in educational achievement throughout school and university levels. Our initial survey of female members of the Institute of Physics showed that only 15% of young women under 30 said they encountered barriers in their careers compared to 45% of women over 30 years. However the young women described situations that clearly were barriers and were gender related, but they didn–t recognize them as such. The initial survey detected a drift away from research careers in the over 30s and so this research sought explanations for this by examining the younger women's perceptions of future careers

Enabling learning through technology: Some institutional imperatives

This paper considers the importance of the institution as the dynamic interpretative element on which will depend the successful integration of the learning technology developed through our national initiatives into the academic curricula of Higher‐Education institutions. Based on our experience of working on teaching technology programmes, within the framework of national and institutional initiatives, it is evident that the establishment of an institutional strategy, and its implementation in a supporting university‐wide programme of staff development and training, together with strong commitment at the senior managerial level, are imperatives which determine the successful integration of learning technology within academic institutions

'There's more than meets the eye': analysing verbal protocols, gazes and sketches on external mathematical representations

When learners are asked to verbalise their thoughts about multiple mathematical representations, some researchers are left to analyse utterances based on video records of activity which may have ambiguous signifiers. They are also faced with post hoc analysis of paper-based worksheets, in which temporal order has to be guessed. In this paper, attempts to minimise such methodological problems by means of recent technologies such as eye-tracking, tablet PC screen capture, digital video cameras and the latest video analysis tools are illustrated in the context of a study of the effect of varying representational instantiations on learners' problem-solving strategies

(In)visible Witnesses: Young people's views of images of scientists, technologists, engineers and mathematicians on UK children's television from a gender perspective (Research Briefing)

This briefing is based on the (In)visible Witnesses study by a team of researchers led by Liz Whitelegg and Richard Holliman at the Open University. This project is one of five commissioned by the UKRC to explore issues around the role of the media and representations of women in STEM. This briefing looks at the (re)construction of gendered representations of STEM on children's television and investigates the ways in which these images affected children's and young people's perceptions of STEM. The content of two weeks of children's television was analysed. Following this, 45 children and young people were involved in a study which looked at how children and young people made sense of the STEM they watch on television. Several methods were used to elicit children's and young people's perceptions of STEM and their place within these fields in the future - a questionnaire, 'draw-a-scientist' test, reflective writing about their future selves as scientists and the creation of a 'storyboard' for a TV programme

Learners' strategies with multiple representations

This empirical study investigated how varied instantiations of mathematical representations influenced learners' strategies. The analysis took into account gazes, utterances, actions and writings of 18 learners performing 3 tasks using static, dynamic, and interactive instantiations. Results show a variation in frequencies of strategies that the participants of the study employed for using multiple representations. This indicates that varying instantiations of multiple representations influences learners' strategies

“What? That’s for Old People, that.” Home Adaptations, Ageing and Stigmatisation: A Qualitative Inquiry

Older people, even those living with long-term conditions or poor mobility, can be supported to live well at home, through adapting their home to meet changing need. Installing home adaptations, from grab rails to walk in shower rooms, is cost effective, may prevent falls, reduce social isolation and improve self confidence. Despite austerity cuts to public spending, the UK government increased home adaptations’ funding. However, not much is known about older people’s experiences and understanding of acquiring and living with home adaptations and uptake of home adaptations could be improved. Using wearable camera and face to face interview data, this qualitative study explored a diverse group of older people’s retrospective experiences (n = 30). Focus group discussions were also carried out with a wide range of professionals involved in the provision of home adaptations (n = 39). Findings suggest people may delay having adaptations, because of perceived stigmatising associations with decline and vulnerability. As delaying the installation of home adaptations until crisis point is known to reduce their effectiveness, such associations need to be challenged

(In)visible Witnesses: Drawing on young people’s media literacy skills to explore gendered representations of science, technology, engineering and mathematics

This report describes further work on the (In)visible Witnesses project and so continues the work described in the first report (In)visible witnesses: Investigating gendered representations of scientists, technologists, engineers and mathematicians on UK children’s television (Whitelegg et. al, 2008). It should therefore be read alongside this earlier report where the background and rationale for the project as a whole is described. A link to this report can be found below, under "Related URLs". The aims of the work described in the report, however, remain the same as those of the original study: 1. Study the (re)construction of gendered representations of science, technology, engineering and mathematics (STEM) on UK television, i.e. to investigate the continuing portrayal of established stereotypes of STEM and document the emergence of new images. 2. Investigate the extent to which these images might affect children and young people’s perceptions of STEM

Collaboration in Primary Science Classrooms: Learning about Evaporation

We have been studying collaboration in the context of children conducting science investigations in British primary classrooms. The classroom is the site of action where learning occurs and it is the teacher who plays the key role in manipulating the learning environment and selecting and structuring tasks to achieve the best learning effect for all children. In this paper we describe our general approach and focus in particular on the data we collect to explore how children's conceptual understanding of evaporation progresses. The paper highlights some of the messages emerging about how collaboration can sometimes enhance learning, and sometimes thwart it