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Third Mode of Thinking

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EN
A number of studies show that both children and adults exhibit difficulties with problem-solving tasks. In fact, only one-third of adults reach the formal operational stage. Coaching such tasks in everybody’s language proves to be helpful only if the situation described is close to life events. The presented study confirmed the improvement in the thematic version of the Wason Test both in pupils and university students, albeit being far from spectacular. The authors suggest distinguishing a bounded type of thinking characterized by highly schematic, mechanistic, and automated thinking. They argue that it results both in educational and everyday failures.
EN
The current study aimed to explore the effect of regulatory Focus – Promotion vs. Prevention – in problem-solving among undergraduate students at The Hashemite University. The hypotheses were that promotion focus students outperform prevention focus students in ill-structured problems but underperform them in well-structured problems, and prevention focus students outperform promotion focus students in well-structured problems but underperform them in ill-structured problems. The participants (n=170) were allocated into four groups according to their mindsets and the problems assigned to them (promotion with ill-structured problems, promotion with well-structured problems, prevention with ill-structured problems, prevention with well-structured problems). After the groups solved all the assigned problems, their work was scored according to Measuring Problem Solving Instrument MPSI. The findings confirmed the hypothesis that the regulatory focus affects how problems are solved.
EN
The use of online language resources for L2 text production purposes is a recent phenomenon and has not yet been studied in depth. Increasing availability of new online resources seems to be changing the very nature of L2 text production. The traditional dictionary, hitherto a default resource to help with language doubts, is being left behind while online resources are taking the lead. What are these resources? Do students need any specific training on how to use them? At what moment of L2 text production do students wish to resort to resources? Rather than analysing the usefulness of a specific kind of resource, this paper focuses on the students’ perceived needs. In particular, we would like to see to what extent our students are open to using language resources, if they are willing to master their use and, finally, if they use resources properly, which is with cognitive implication behind.
EN
Human capital, together with financial and material resources, is an important factor in the economy of society. Human capital can be defined in different ways, but knowledge, abilities, skills, competences, or literacy, in general, are essential parts. It can be said that literacy is the cornerstone of human capital. According to the basic principles of the theory of employment, factors such as education, gender, age, health, marital status, and emigration have a major impact on participation in the labour market. However, in scientific discourse, there is a strong emphasis on these factors and the importance of literacy. However, there is a lack of studies specifically analysing the links between literacy and participation in the labour market. In particular, it is important to analyse whether literacy is equally important for participation in the labour market in different regions and countries. This article analyses the link between participation in the labour market and literacy in the Central European region. Six Central European countries are analysed based on the International Survey of Adult Skills OECD PIAAC. An analysis of the main parameters showing how a person participates in the labour market suggests there is a link between a person’s literacy and their working status, type of employment contract, managerial position, and economic sector.
EN
Introduction. In adulthood, post-formal ways of reasoning become more important, because the formal-logical ones do not provide adaptation in solving life-related problems (Gurba, 1993). These problems are mainly related to the functioning of family life and relate to experiencing developmental crises related to changes taking place in the family. One of such important moments in the life of a family is the time when a child starts school education (Chojak, 2019) because the current rhythm of the day is modified (Czub, Matejczuk, 2014) and the entire family system changes (Skrzetuska, 2016). Aim. The main aim of the research was to determine the post-formal ways of reasoning used by adults when solving problems related to children’s preparedness for school. Materials and methods. The study used 8 out of 18 problems from the Questionnaire of Ways of Solving Life Problems (authors: Paulina Michalska, Anna Szymanik-Kostrzewska), which concern the situation of parents of children starting school. Results. The respondents preferred solutions to problems from the meta-system level to the greatest extent. Variables such as age, education and having children were significant for the obtained results. The importance of the content of the dilemmas for the preferred solutions was confirmed. Conclusions. The most interesting conclusion from the research is that people with children preferred meta-system solutions less often than people without children. This is not consistent with the assumption that life experience in a given area contributes to more autonomous solutions (e.g., Sebby, Papini, 1994; Michalska, 2015a). This may be because parents, in the situation of solving a dilemma, are more focused on specific solutions to the problem, and more general methods with a wide range are less often taken into account by them.
PL
Wprowadzenie. W okresie dorosłości znaczenia nabierają postformalne sposoby rozumowania, ponieważ te formalno-logiczne nie pomagają rozwiązaniu problemów o treści życiowej (Gurba, 1993). Problemy te są powiązane głównie z funkcjonowaniem życia rodzinnego i dotyczą doświadczania kryzysów rozwojowych związanych ze zmianami zachodzącymi w rodzinie. Jednym z takich ważnych dla życia rodziny momentów jest czas, kiedy dziecko zaczyna edukację szkolną (Chojak, 2019), ponieważ modyfikacji ulega dotychczasowy rytm dnia (Czub, Matejczuk, 2014) i zmienia się cały system rodzinny (Skrzetuska, 2016). Cel. Głównym celem badań było określenie postformalnych sposobów rozumowania, wykorzystywanych przez osoby dorosłe podczas rozwiązywania problemów związanych z gotowością szkolną dzieci. Materiały i metody. W badaniu wykorzystano 8 z 18 problemów pochodzących z Kwestionariusza Sposobów Rozwiązywania Problemów Życiowych (autorzy: Paulina Michalska, Anna Szymanik-Kostrzewska), które dotyczą sytuacji rodziców dzieci rozpoczynających naukę szkolną. Wyniki. Osoby badane preferowały w największym stopniu rozwiązania problemów z poziomu metasystemowego. Dla uzyskanych rezultatów znaczenie miały takie zmienne, jak: wiek, wykształcenie i posiadanie dzieci. Potwierdzono znaczenie treści dylematów dla preferowanych rozwiązań. Wnioski. Najciekawszym wnioskiem płynącym z badań jest to, że osoby posiadające dzieci preferowały rozwiązania metasystemowe rzadziej niż osoby nieposiadające dzieci. Nie jest to zgodne z założeniem, że doświadczenie życiowe w danym obszarze przyczynia się do bardziej autonomicznych rozwiązań (m.in. Sebby, Papini, 1994; Michalska, 2015a). Może to wynikać z tego, że rodzice w sytuacji dylematu są nastawieni na konkretne rozwiązania problemu, a sposoby bardziej ogólne, o szerokim zasięgu są przez nich rzadziej brane pod uwagę.
EN
The aim of the article is characteristic of some basic ordeals in reconstruction of Polanyi’s idea of tacit knowledge, as well as exposition of its typical ways of understanding. Paper consists of seven points: (1 – 3) contains an analysis of author’s texts in aspect of typical ways of usage of the term and some other meaning-related categories; in (4) some major methodological challenges facing its definition are picked out, while in (5) main ways of interpretation elaborated by author’s researchers are being expound; (6) focuses on relation between idea of tacit and explicit knowledge, while (7) highlights the role of tacit knowledge in process of problem- -solving.
EN
The first good message is to the effect that people possess reason as a source of intellectual insights, not available to the senses, as e.g. axioms of arithmetic. The awareness of this fact is called rationalism. Another good message is that reason can daringly quest for and gain new plausible insights. Those, if suitably checked and confirmed, can entail a revision of former results, also in mathematics, and - due to the greater efficiency of new ideas - accelerate science’s progress. The awareness that no insight is secured against revision, is called fallibilism. This modern fallibilistic rationalism (Peirce, Popper, Gödel, etc. oppose the fundamentalism of the classical version (Plato, Descartes etc.), i.e. the belief in the attainability of inviolable truths of reason which would forever constitute the foundations of knowledge. Fallibilistic rationalism is based on the idea that any problem-solving consists in processing information. Its results vary with respect to informativeness and its reverse - certainty. It is up to science to look for highly informative solutions, in spite of their uncertainty, and then to make them more certain through testing against suitable evidence. To account for such cognitive processes, one resorts to the conceptual apparatus of logic, informatics, and cognitive science.
EN
Sciencemeans here mathematics and those empirical disciplines which avail themselves of mathematical models. The pragmaticapproachis conceived in Karl R. Popper’s The Logic of Scientific Discovery(p.276) sense: a logical appraisal of the success of a theory amounts to the appraisal of its corroboration. This kind of appraisal is exemplified in section 6 by a case study—on how Isaac Newton justified his theory of gravitation. The computationalapproach in problem-solving processes consists in considering them in terms of computability: either as being performed according to a model of computation in a narrower sense, e.g., the Turing machine, or in a wider perspective—of machines associated with a non-mechanical device called “oracle”by Alan Turing (1939). Oracle can be interpreted as computer-theoretic representation of intuitionor invention. Computational approach in an-other sense means considering problem-solving processes in terms of logical gates, supposed to be a physical basis for solving problems with a reasoning.Pragmatic rationalismabout science, seen at the background of classical ration-alism (Descartes, Gottfried Leibniz etc.), claims that any scientific idea, either in empirical theories or in mathematics, should be checked through applications to problem-solving processes. Both the versions claim the existence of abstract objects, available to intellectual intuition. The difference concerns the dynamics of science: (i) the classical rationalism regards science as a stationary system that does not need improvements after having reached an optimal state, while (ii) the pragmatical ver-sion conceives science as evolving dynamically due to fertile interactions between creative intuitions, or inventions, with mechanical procedures.The dynamics of science is featured with various models, like Derek J.de Solla Price’sexponential and Thomas Kuhn’s paradigm model (the most familiar instanc-es). This essay suggests considering Turing’s idea of oracle as a complementary model to explain most adequately, in terms of exceptional inventiveness, the dynam-ics of mathematics and mathematizable empirical sciences.
Studia Semiotyczne
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2018
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vol. 32
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issue 2
153-185
EN
The affirmative answer to the title question is justified in two ways: logical and empirical. (1) The logical justification is due to Gödel’s discovery (1931) that in any axiomatic formalized theory, having at least the expressive power of PA (Peano Arithmetic), at any stage of development there must appear unsolvable problems. However, some of them become solvable in a further development of the theory in question, owing to subsequent investigations. These lead to new concepts, expressed with additional axioms or rules. Owing to the so-amplified axiomatic basis, new routine procedures like algorithms, can be reached. Those, in turn, help to gain new insights which lead to still more powerful axioms, and consequently again to ampler algorithmic resources. Thus scientific progress proceeds to an ever higher scope of solvability. (2) The existence of such feedback cycles – in a formal way rendered with Turing’s systems of logic based on ordinal (1939) – gets empirically supported by the history of mathematics and other exact sciences. An instructive instance of such a process is found in the history of the number zero. Without that insight due to some ancient Hindu mathematicians there could not arise such an axiomatic theory as PA. It defines the algorithms of arithmetical operations, which in turn help intuitions; those, in turn, give rise to algorithmic routines, not available in any of the previous phases of the process in question. While the logical substantiation of the point of this essay is a well-established result of logico-semantic inquiries, its empirical claim, based on historical evidences, remains open for discussion. Hence the author’s intention to address philosophers and historians of science, and to encourage their critical responses.
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