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[en] WHY SOLVE PROBLEMS IN MATH TEACHING? A CONTRIBUTION FROM THE GESTALT SCHOOL / [pt] POR QUE RESOLVER PROBLEMAS NA EDUCAÇÃO MATEMÁTICA? UMA CONTRIBUIÇÃO DA ESCOLA DA GESTALTCLAUDIO FERNANDES DA COSTA 19 May 2008 (has links)
[pt] Esta tese teve como objetivo percorrer de forma crítica a
trajetória teórica que dá suporte à importância da
resolução de problemas no ensino da Matemática, dentro da
perspectiva do pensamento produtivo e da aprendizagem
significativa. Para isso, foram analisadas contribuições
das teorias de campo Gestalt, em particular as de Max
Wertheimer e Kurt Lewin, relativas a esses dois conceitos
que se complementam: o pensamento produtivo aborda mais
especificamente a resolução de problemas no âmbito de uma
aprendizagem significativa, no verdadeiro sentido da
palavra (Wertheimer); as situações de aprendizagem
consideram o -espaço de vida do sujeito, incluindo a pessoa
e o meio, e representa a totalidade dos eventos possíveis
(Lewin). Do ponto de vista da educação matemática, foram
abordadas a heurística e a intuição, por se constituírem em
dois elementos importantes de aproximação deste campo com
conceitos da Gestalt relacionados à solução de problemas.
Nesse campo também foi avaliada a contribuição de autores
significativos como George Polya, Imre Lakatos e outros.
Tendo em vista que, de alguns anos para cá, os programas do
ensino de Matemática têm orientado os docentes a usarem
solução de problemas como base metodológica de ensino, foi
realizado também um estudo exploratório tomando como
instrumento de pesquisa entrevistas realizadas com
professores de Matemática de escolas avaliadas pelo
programa Nova Escola no Rio de Janeiro. Do mesmo modo,
orientações teórico-pedagógicas contidas nos documentos dos
principais programas nacionais de avaliação do ensino médio
brasileiro como Aneb e Enem, caracterizam-se por apoiar
suas avaliações em matemática na resolução de problemas e
em aprendizagens significativas. Os dados coletados nesta
parte da tese foram ilustrativos do estudo teórico
realizado, ratificando a relação que se levantou dessas
orientações com as contribuições da escola da Gestalt que
revelou ser fundamental na concepção do pensamento
produtivo como pressuposto de uma verdadeira aprendizagem
significativa. Os resultados da pesquisa demonstraram uma
visão acerca das razões para resolver problemas que, para
além de um meio ou um fim em si mesmo, se confunde com o
próprio ensino e aprendizagem da Matemática. / [en] This paper aims at critically analyzing the theoretical
background which supports the importance of problem solving
in math teaching within the perspective of productive
thinking and of meaningful learning. To this end,
contributions from the Gestalt field theories were
analyzed, particularly those of Max Wertheimer and Kurt
Lewin, in relation to these two concepts which complement
each other: productive thinking has to do more specifically
with problem solving within the scope of a meaningful
learning, in the true sense of the word (Wertheimer);
learning situations take into consideration the living
space of the subject, encompassing the person and the
environment, and represents the totality of possible events
(Lewin). From the perspective of math education, both
heuristics and intuition were dealt with, since they are
two important elements which link this field to Gestalt
concepts related to problem solving. Within this field, the
contribution by significant authors, such as George Polya,
Imre Lakatos and others, was also assessed. Keeping in mind
that in the last few years math teaching programs have
recommended that teachers use problem solving as a
methodological basis for teaching, an exploratory study was
also conducted which used as research tools interviews with
math teachers from the Nova Escola (New School) program in
Rio de Janeiro. Likewise, theoretical and pedagogical
guidelines found in documents from the main national
Brazilian high school assessment programs, such as Aneb and
Enem, support math evaluation based on problem solving
and on meaningful learning. The data collected in this
part of the paper illustrated the theoretical study carried
out, confirming the relationship found between these
guidelines and the contributions by the Gestalt school,
which turned out to be critical to the idea of productive
thinking as a given of true meaningful learning. The
research results demonstrated a viewpoint on reasons to
solve problems which, much more than an end or a means, is
intrinsic to math teaching and learning.
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The “Post” in Postscript: Post-Productive Thinking, Re-Formatted ImagesLinseisen, Elisa 29 July 2020 (has links)
In this article, I seek to discuss the principles of modulation and variation in Deleuze’s canonical essay “Postscript on the Societies of Control” (Deleuze 1992). Analyzing and testing what Deleuze recognizes as “inseparable variations, forming a system of variable geometry” and as a “self-deforming cast that will continuously change from one moment to the other […], like a sieve whose mesh will transmute from point to point” (1992: 4), I will focus on the digital image
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The Social Construction of Economic Man: The Genesis, Spread, Impact and Institutionalisation of Economic IdeasMackinnon, Lauchlan A. K. Unknown Date (has links)
The present thesis is concerned with the genesis, diffusion, impact and institutionalisation of economic ideas. Despite Keynes's oft-cited comments to the effect that 'the ideas of economists and political philosophers, both when they are right and when they are wrong, are more powerful than is commonly understood'(Keynes 1936: 383), and the highly visible impact of economic ideas (for example Keynesian economics, Monetarism, or economic ideas regarding deregulation and antitrust issues) on the economic system, economists have done little to systematically explore the spread and impact of economic ideas. In fact, with only a few notable exceptions, the majority of scholarly work concerning the spread and impact of economic ideas has been developed outside of the economics literature, for example in the political institutionalist literature in the social sciences. The present thesis addresses the current lack of attention to the spread and impact of economic ideas by economists by drawing on the political institutionalist, sociological, and psychology of creativity literatures to develop a framework in which the genesis, spread, impact and institutionalisation of economic ideas may be understood. To articulate the dissemination and impact of economic ideas within economics, I consider as a case study the evolution of economists' conception of the economic agent - "homo oeconomicus." I argue that the intellectual milieu or paradigm of economics is 'socially constructed' in a specific sense, namely: (i) economic ideas are created or modified by particular individuals; (ii) economic ideas are disseminated (iii) certain economic ideas are accepted by economists and (iv) economic ideas become institutionalised into the paradigm or milieu of economics. Economic ideas are, of course, disseminated not only within economics to fellow economists, but are also disseminated externally to economic policy makers and business leaders who can - and often do - take economic ideas into account when formulating policy and building economic institutions. Important economic institutions are thereby socially constructed, in the general sense proposed by Berger and Luckmann (1966). But how exactly do economic ideas enter into this process of social construction of economic institutions? Drawing from and building on structure/agency theory (e.g. Berger and Luckmann 1966; Bourdieu 1977; Bhaskar 1979/1998, 1989; Bourdieu 1990; Lawson 1997, 2003) in the wider social sciences, I provide a framework for understanding how economic ideas enter into the process of social construction of economic institutions. Finally, I take up a methodological question: if economic ideas are disseminated, and if economic ideas have a real and constitutive impact on the economic system being modelled, does 'economic science' then accurately and objectively model an independently existing economic reality, unchanged by economic theory, or does economic theory have an interdependent and 'reflexive' relationship with economic reality, as economic reality co-exists with, is shaped by, and also shapes economic theory? I argue the latter, and consider the implications for evaluating in what sense economic science is, in fact, a science in the classical sense. The thesis makes original contributions to understanding the genesis of economic ideas in the psychological creative work processes of economists; understanding the ontological location of economic ideas in the economic system; articulating the social construction of economic ideas; and highlighting the importance of the spread of economic ideas to economic practice and economic methodology.
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