1,111 research outputs found
The shaping of student knowledge: learning with dynamic geometry software
The 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
The Scientometric World of Keith Pavitt: a Tribute to his Contributions to Research Policy and Patent Analysis
Keith Pavitt has made pioneering contributions to the study of science, technology and innovation. This paper aims to examine some of them on the basis of a bibliometric analysis of Keith Pavitt's work and the impact that he has had. First the paper follows how Pavitt's publication profile develops over time. Then we trace his most cited works and explore the sets of references in his papers. Author and journal co-citation maps illustrate the intellectual environment associated with Pavitt and the central role Research Policy played in this context. An analysis of the most frequently cited authors in Research Policy and Scientometrics underlines Keith Pavitt's role as both a shaper of, and a bridge between, science and technology policy and bibliometric analysis
Using imagery to solve spatial problems
This report focuses on the use of imagery to solve a range of spatial problems. The research projects reviewed in this report offer some insight into the range of strategies used by solvers of spatial problems and point to relationships between spatial and verbal skills
Reconsidering Arminius: Beyond the Reformed and Wesleyan Divide
The theology of Dutch theologian Jacob Arminius has been misinterpreted and caricatured in both Reformed and Wesleyan circles. By revisiting Arminius's theology, the book hopes to be a constructive voice in the discourse between so-called Calvinists and Arminians. Traditionally, Arminius has been treated as a divisive figure in evangelical theology. Indeed, one might be able to describe classic evangelical theology up into the twentieth century in relation to his work: one was either an Arminian and accepted his theology or one was a Calvinist and rejected his theology. Although various other movements within evangelicalism have provided additional contour to the movement (fundamentalism, Pentecostalism, etc.), the Calvinist-Arminian 'divide' remains a significant one. What this book seeks to correct is the misinterpretation of Arminius as one whose theology provides a stark contrast to the Reformed tradition as a whole. Indeed, this book will demonstrate instead that Arminius is far more in line with Reformed orthodoxy than popularly believed and show that what emerges as Arminianism in the theology of the Remonstrants and Wesleyan movements was in fact not the theology of Arminius but a development of and sometimes departure from it. This book also brings Arminius into conversation with modern theology. To this end, it includes essays on the relationship between Arminius's theology and open theism and Neo-Reformed theology. In this way, this book fulfills the promise of the title by showing ways in which Arminius's theology—once properly understood—can serve as a resource of evangelical Wesleyans and Calvinists doing theology together today. Abbreviations -- ix Introduction. Reconsidering Arminius: Recasting the Legacy / Mark H. Mann and Mark G. Bilby -- xi-xix Chapter 1. Consecrated through Suffering : the Office of Christ in the Theology of Jacob Arminius / Richard A. Muller -- 1-21 Chapter 2. Was Arminius an Unwitting Determinist? : Another Look at Arminius's Modal Logic / Thomas H. McCall -- 23-37 Chapter 3. Beyond Luther, beyond Calvin, beyond Arminius : the Pilgrims and the Remonstrants in Leiden, 1609-1620 / Jeremy Dupertuis Bangs -- 39-69 Chapter 4. The Loss of Arminius in Wesleyan-Arminian Theology / W. Stephen Gunter -- 71-90 Chapter 5. Jacob Arminius and Jonathan Edwards on the doctrine of creation / Oliver D. Crisp -- 91-112 Chapter 6. Convergence in the "Reformed" theologies of T.F. Torrance and Jacob Arminius / E. Jerome Van Kuiken -- 113-135 Chapter 7. Was Arminius an open theist? : meticulous providence in the theology of Jacob Arminius / John Mark Hicks -- 137-160 Conclusion. Arminius Reconsidered : Thoughts on Arminius and Contemporary Theological Discourse for the Church Today / Keith D. Stanglin -- 161-167 Contributors -- 169Published@book{stanglin2014reconsidering, title= {Reconsidering Arminius: Beyond the Reformed and Wesleyan Divide}, author= {Stanglin, Keith D and Bilby, Mark G and Mann, Mark H}, year= {2014}, publisher= {Kingswood Books}}978142679654
The process of re-designing the geometry curriculum: the case of the Mathematical Association in England in the early twentieth century
This paper examines a key period of change in geometry teaching in England. Our focus is the character and nature of the recommendations of the 1902 geometry report of the UK Mathematical Association. We analyse historical documents of the Mathematical Association using a theoretical framework informed by work in the sociology of education. Our analysis shows that the character and recommendations of the Mathematical Association report were influenced by various factors including: that Mathematical Association members at the time still respected the traditional Euclidean approach to geometry as a basis for school geometry; that the academic and ‘power’ resources available to the Mathematical Association at the time were not sufficient to enable a complete change from the traditional approach; that a lack of consensus between the various members of the Mathematical Association prevented a more radical proposal; and that the general climate in schools at that time was not prepared for far-reaching changes to the teaching of geometry. These findings accord with other research on educational reform which indicates that curriculum change processes are invariably complex and often subject to much politicking
The modernist angel: Art at the Limits of the Human in D. H. Lawrence, H. D. and Mina Loy
PhDThe subject of this thesis is a figure that might provisionally be called the *modemist
angel'. Focusing on modernist literature, and more particularly on the work of D. H.
Lawrence, H. D. and Mina Loy, it aims to isolate from the many angels found in all periods
and all types of art a historically specific and intellectually coherent paradigm: an angel of
and for its modernist times. A figure of precisely this type could be said to exist in the
form of Walter Benjamin's 'angel of history'. Critics who address the question of the
modern angel in texts by Franz Kafka and Rainer Maria Rilke often do so in conjunction
with the problem posed by the angel of history. Beginning with a chapter on Benjamin,
this thesis nevertheless follows a different trajectory. Over five chapters, it explores a
modernist landscape formed not only by Lawrence, H. D. and Loy, but also by European
and American writers such as A. R. Orage, Allen Upward, Ezra Pound, Wallace Stevens,
Havelock Ellis, Edward Carpenter, Sigmund Freud and Friedrich Nietzsche. Although the
angel that emerges from this investigation might, in some respects, be said to anticipate
Benjamin's later version, this figure is also very different, standing for a project that is
distinctively, and recognisably, modernist in nature. He/she (the sex of the modernist
angel is often open to question) represents an attempt to reconcile the divine
responsibilities of the artist with the material and gendered conditions of being,
specifically of being human, in the modem world. This thesis looks again at the clash of
intellectual paradigms in the early-twentieth century - notably, the confrontation of the
Romantic view of art as a superhuman or sacred undertaking with the psychoanalytical or
evolutionary idea that all human endeavour is underpinned by sub-human motives - and
suggests the angel as a new and instructive figure through which to think the perilous
limits between the human and the divine in modernist literature
Reacciones de migración en oligosilanos del tipo (n5-C5H5) Fe(CO) 2SinR. I(n5-C5H5) Fe(CO)2 I2SinR y su extensión a complejos similares de tungsteno de elementos del grupo 14
Data Supplement to \u27H. Keith Hunt on Consumer Behavior: Understanding His Contribution\u27
Includes the data, data collection procedures, and data notes for the bibliometric analysis components of H. Keith Hunt on Consumer Behavior: Understanding His Contribution.” The study uses an ego-centered bibliometric analysis method developed by Howard White to examine the impact of H. Keith Hunt on the field of consumer behavior. Ego-centered analysis is based on social network analysis where the social network modes are the citation identity, citation image, citation image-makers, and co-authors of an author studied. The data files address each of these aspects and the top consumer behavior journals used for the citation image portion of the data collection
Researching geometrical intuition
This paper describes an exploratory study of the nature and role of geometrical intuition in the solving of geometrical problems. The findings suggest that geometrical intuition plays an important part in the critical decisions that problem solvers make when tackling geometrical problems
The place of experimental tasks in geometry teaching: learning from the textbook designs of the early 20th century
The dual nature of geometry, in that it is a theoretical domain and an area of practical experience, presents mathematics teachers with opportunities and dilemmas. Opportunities exist to link theory with the everyday knowledge of pupils but the dilemmas are that learners very often find the dual nature of geometry a chasm that is very difficult to bridge. With research continuing to focus on understanding the nature of this problem, with a view to developing better pedagogical techniques, this paper examines the place of experimental tasks in the process of learning geometry. In particular, the paper provides some results from an analysis of innovative geometry textbooks designed in the early part of the 20th Century, a time when significant efforts were being made to improve the teaching and learning of geometry. The analysis suggests that experimental tasks have a vital role to play and that a potent tool for informing the design of such tasks, so that they build effectively on pupils’ geometrical intuition, is the notion of the geometrical eye, a term coined by Charles Godfrey in 1910 as “the power of seeing geometrical properties detach themselves from a figure"
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