6,705 research outputs found
Exploratory talk within collaborative small groups in mathematics
No full textThis report describes one aspect of a wider research study on exploratory talk within collaborative small groups in secondary mathematics lessons. It outlines students’ views of using collaborative activity to learn mathematics. The fuller research study explores the extent to which exploratory talk occurs in collaborative peer groups in secondary mathematics classrooms
Theoretical frameworks for the learning of geometrical reasoning
No full textWith the growth in interest in geometrical ideas it is important to be clear about the nature of geometrical reasoning and how it develops. This paper provides an overview of three theoretical frameworks for the learning of geometrical reasoning: the van Hiele model of thinking in geometry, Fischbein’s theory of figural concepts, and Duval’s cognitive model of geometrical reasoning. Each of these frameworks provides theoretical resources to support research into the development of geometrical reasoning in students and related aspects of visualisation and construction. This overview concludes that much research about the deep process of the development and the learning of visualisation and reasoning is still needed
Co-learning in the collaborative mathematics classroom
No full textCo-learning agreements between researchers and practitioners have been suggested as a way of generating research findings that are useful to improving schools and informing classroom practice. In this chapter we describe how a co-learning agreement was developed as a basis for researching aspects of the learning of mathematics in the classroom of a teacher whose pedagogy emphasised collaborative problem-solving as a major vehicle for learning mathematics. A study of co-operative group work in mathematics found that the perceptions of high achieving students (in terms of the purpose and benefits of group work) were more in line with those of their teacher than those of low achieving students. In contrast, the research reported in this chapter of a collaborative mathematics classroom revealed no such differences between students. In using a co-learning approach both authors felt that they learnt more about the processes of collaborating in researching and learning mathematics than they would have done with either a more traditional ‘data gathering’ approach led by the researcher or as a piece of action research by the teacher. The chapter suggests that co-learning can be a useful way of collaborating and describes the benefits such an approach can offer when researching classroom processes
Jersey Homesteads -- A Triple Co-operative
No full textChapter 11, pages 256-276, of
Title: "Tomorrow a new world: the New Deal communuity program."
Publisher: Ithaca, NY, Published for the American Historical Association (by) Cornell University Press, 1959.
Author; Conkin, Paul Keith
Huw T. Edwards: British Labour and Welsh Socialism
No full textThis book is the first full-length biography in English of Huw T. Edwards (1929–70), a key figure in the Welsh labour movement who was known in the 1950s as the “unofficial Prime Minister of Wales.” Paul Ward explores Edwards’s working-class origins, his growing involvement with trade unions and other political activities, and his eventual place in the high reaches of the Welsh establishment, which included a role as Welsh representative to the BBC, a seat on the Welsh Tourist Board, and the presidency of the Welsh Language Society
The shaping of student knowledge: learning with dynamic geometry software
No full textThe focus of this paper is a software genre usually referred to as ‘dynamic geometry’ because of the ability of the user to dynamically manipulate geometrical figures created with the software tool. Using data from a longitudinal study of 12-13 students’ use of dynamic geometry software, the focus of the analysis is on the interpretations the students make of geometrical objects and relationships when using this form of software. The analysis suggests that the students’ mathematical reasoning is shaped by their interactions with the software in that their ability to explain geometrical facts and relationships evolves from imprecise, ‘everyday’ expressions, through reasoning that is overtly mediated by the software environment, to mathematical explanations of the geometric situation that transcend the particular tool being used. Such findings suggest that curriculum initiatives that encourage the use of dynamic geometry software are appropriate but that the incorporation of such software into classroom practices is unlikely to be straightforward
Art, Biography, Sexuality: Patrick Procktor and Keith Vaughan
No full textThis critical review forms a reflection on the research published within the following publications:
Patrick Procktor: Art and Life (Unicorn Press, 2010)
Keith Vaughan: The Mature Oils 1946-1977, (Sansom & Co., 2012)
The research is on two artists, Patrick Procktor (1936-2003), and Keith Vaughan (1912-1977). The monograph on Procktor – previously one of the least documented of the generation of artists who came to prominence in London in the Sixties – positions him in a history of art from which he had been notably absent. The research on Vaughan asserts a new reading of his work, one that is both deeper and more nuanced in its analysis of the ways in which personal experience and sexuality are encoded autobiographically within his work. Crucially, in both artists biography and work are symbiotically linked; the research therefore examines the links between life and art.
Revisionary in intent, the work examines trajectories of experience of gay British (or rather, English) artists in the twentieth century, artists who sought to express themselves and forge careers within the constraints of a heteronormative society, albeit one in which attitudes to sexuality were undergoing change. As gay men, both were constrained by the social mores of their times, and each used painting as a means to affirm personal and sexual identities. A key research interest is in the ways in which sexuality and persona are reflected in critical responses to the artist’s work: in Vaughan, Procktor and other gay male artists of the period. The writing on both Procktor and Vaughan examines the relationship between their personal and professional/artistic lives, framed within a broader socio-political and art historical context. It asserts the place of biography as a means to understand and form new readings of the work. The work adds substantially to the literature and wider discourse on post-war British painting and social history
The spontaneity drain: the social pressures that shaped and then exiled Keith Johnstone's improvisation
No full textKeith Johnstone’s Improvisation had an oppositional relationship to the social and historical conditions of 1950s Britain under which it developed. Its structure and performative dynamic were protests against the normalising forces exerted by the social elite upon the broader population and by civilised society upon the individual. Within this context, the Royal Court Theatre acted as an incubator that allowed Johnstone to develop his subversive theories of performance, drawing on elements of professional wrestling to break down the regimented conventions of the theatre space and enliven the spectator-performer relationship. Eventually Johnstone entered a self-imposed exile from the society that shaped this form of performance and established The Loose Moose Theatre in Calgary, Canada.
This paper will analyse three relationships vital to this narrative: The oppositional reaction of Johnstone's improvisation to the social pressures of 1950's Britain, the creative glasshouse that The Royal Court Theatre provided for Johnstone within this broader cultural context, and the effects that the new social situation of Calgary, Canada had on Johnstone's practice.
At the conclusion of the paper I will draw out the consequences of these analyses for contemporary British society and attempt to identify the normalising forces at work within this context, how our arts institutions and creative incubators might foster novel reactions to these pressures, and how public policy might be shaped in order to encourage artists to remain in Britain so that we might benefit from their continued contribution to our cultural discourses
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