15년 전부터 등장한 베이지안 확률론적 추론 모형은 통계학, 과학철학, 심리학, 인지과학, 컴퓨터과학, 신경과학 등에서 학계의 연구를 지배하는 강력한 핵심논제가 된 후로 이젠 교육학과 심지어는 논리학 분야에까지 큰 반향을 일으키고 있다. 이러한 다양화로 인해, 굿에 따르면, 베이즈주의 유형은 46,656 가지로 분류된다. 이러한 다양한 모형들 중에서 베이지안 확률모형을 학습이론에 적용하려는 학자들은 학습자의 학습 과정이 정확히 베이지안 확률추론 과정을 항상 따른다고 주장한다. 그런데 이러한 확률론적 모형은 피아제의 구성주의적 전망을 계승한 것은 분명하다. 왜냐하면, 이 모델을 지지하는 학자들 자신이 자신들의 학적 운동을 “새로운 합리적 구성주의”라고 (...) 명시적으로 명명하기 때문이다. 그럼에도 불구하고, 이러한 확률론적 학습모형은 “지식은 인과성을 중심으로 구조화된다.”라는 가설을 확고하게 지지하면서, 피아제의 명제 논리적 모형에 의한 학습이론을 강하게 비판한다. 그러나 베이지안 학습 이론가들은 경험을 통한 새로운 항들의 연결로서의 학습, 그리고 학습에서 모순 및 인과성의 역할 등에 대한 피아제의 세부적인 연구 성과들을 놓치고 있다. 다른 한편으로 베이지안 학습이론은 여러 가지 점에서 온전한 발달 이론을 제공하기에는 아직 미흡하다. 이런 점에서, 필자는 현상 없이는 구조를 이해할 수 없듯이, 구조 없이는 현상을 이해할 수 없다는 사실을 강조하면서, 인과성 추론을 핵심으로 하는 베이지안 학습 모델과 인과적 물리적 인식뿐만 아니라, 동시에 논리-수학적 인식 모델을 강조하는 피아제의 학습 모델은 새로이 종합되어야 한다는 것을 논증하고자 한다. (shrink)

본 연구의 목적은 최근 20여 년 동안 진행되어 온 학습이론에 대한 피아제의 명제논리학적 학습이론과 베이즈주의의 확률론적 학습이론의 융합에 근거하는 새로운 융합교수학습모형을 개발하는 것이다. 연구자는 이 새로운 교수학습모델을 “베이지안 구조구성주의 교수학습모형”(Bayesian structure-constructivist Model of Teaching-learning: 이하 약칭 BMT)이라 명명한다. 본고는 역사-비판적 관점 및 형식화적 관점에서 피아제의 명제논리학적 학습모형에서 해석된 학습이론과 베이즈주의의 확률론적 추론모형에서 해석된 학습이론을 일차적으로 분석하고, 논문의 후반부에서는 이를 근거로 교수법의 관점에서 양자의 학습이론을 통합하는 새로운 교수학습모델, 즉 BMT의 중요한 특성들을 세부적으로 제시한다. 몇 가지 핵심만 언급하면, 첫째로, BMT는 개념 (...) 학습이든 이론 학습이든 모든 학습은 표상과 샘플링의 상호작용임을 강조한다. 매우 이른 나이에서부터 아동은 학습하기 이전에 자기에게 주어진 예시들이 약한 샘플링인지 강한 샘플링인지, 특히 교육학적 샘플링인지 비교육학적 샘플링인지를 구분한다. 둘째로, 따라서 학습을 촉진시킬 수 있는 샘플을 선택하기 위해서 교사는 교육학적 추론을 위한 베이지안 모델을 활용하면서 직접적인 강의식 수업과 발견학습 수업을 병행해야 한다. 셋째로, 아동은 때때로 구체적인 규칙들보다는 추상적인 규칙들을 먼저 학습하기도 하지만, 대부분의 영역에서 추상적인 지식의 학습은 구체적인 지식의 학습에 의존한다. 따라서 성공적인 학습을 위해서는 피아제가 강조한 보편적 언어로서 논리적 문법과 그들 사이의 위계성을 고려하는 샘플을 개발하고 제시해야 한다. (shrink)

The current emphasis on rising educational standards in Australian society (eg A Commonwealth Government Quality Teacher Initiative, 2000) has stimulated a growing interest in Vygotsky's socio-cultural theory widely renowned for its profound understanding of teaching and learning. The metaphor of scaffolding commonly viewed as underpinned by socio-cultural theory and the zone of proximal development in particular, has become increasingly popular among educators in Australia (Hammond, 2002). Teachers find the metaphor appealing as it "offers what is lacking in (...) much literature on education - an effective conceptual metaphor for the quality of teacher intervention in learning" (Hammond, 2002, p.2). However, there is no consensus of opinion among educators on the specific characteristics that constitute successful scaffolding. On the contrary, the current interpretation of scaffolding seems to have been drifting away from the Vygotskian view of teaching and learning and appears to have become an umbrella term for any kind of teacher support (Jacobs, 2001) and therefore, cannot serve the purpose of justifying the quality of teacher intervention. Furthermore, when taken out of its theoretical context, scaffolding tends to be interpreted as a form of direct instruction (Donovan & Smolkin, 2002), which invalidates the Vygotskian idea of teaching as co-construction of knowledge within student-centred activities. Such an interpretation of the metaphor of scaffolding is an unfortunate step back to a traditional, pre-Piagetian way of teaching which is adult-driven in nature and often results in "the imposition of a structure on the student" (Searle, 1984, in Stone, 1998, p. 349). In spite of a number of limitations of the metaphor, that have been discussed by socio-cultural theorists (e. g., Stone, 2001), it remains highly popular among educators. To fulfil teachers' expectations of scaffolding as being an effective teaching tool, it needs to be understood within the framework of its underlying theory. This project aims to analyse understanding of the concept of scaffolding by educational researchers and practitioners in its connection to the Vygotskian view of the role of instruction in nurturing children as active learners. (shrink)

This article considers the psychology of meditation and other introverted forms of mystical development from a neo-Piagetian perspective, which has commonalities with biogenetic structuralist and neurotheological approaches. Evidence is found that lines of meditative development unfold through Patañjali’s stages at different rates in an echo of the unfolding of lines of cognitive development through Piaget’s stages at different rates. Similar factors predicting the degree of independence of development apply to both conventional cognitive and meditative contents. As the same brain (...) and the same nervous system are involved in both cognitive developmental psychology and meditation there are likely to be commonalities between conventional psychological and transpersonal development. Neo-Piagetian transpersonal psychology predicts a variable landscape of spiritual development across traditions and individuals, in line with variability in the cultural learning environment. (shrink)

Statistical learning theory is often associated with the principle of Occam’s razor, which recommends a simplicity preference in inductive inference. This paper distills the core argument for simplicity obtainable from statistical learning theory, built on the theory’s central learning guarantee for the method of empirical risk minimization. This core “means-ends” argument is that a simpler hypothesis class or inductive model is better because it has better learning guarantees; however, these guarantees are model-relative and (...) so the theoretical push towards simplicity is checked by our prior knowledge. (shrink)

An important question for a naturalized philosophical psychology is what constitutes moral agency (MA). The two prominent scientific theories to which such a philosophical approach might appeal, those of cognitive developmental theory (CDT) and social learning theory (SLT), currently face an investigative dilemma: The better theories of the acquisition of beliefs and the performance of action based on them, the SLTs, seem to be irrelevant to the phenomenon of MA and the theories that seem to be relevant, (...) the CDTs, are unsatisfactory in their accounts of acquisition and action. In this paper I take up the cause of SLT accounts of MA. Critics of SLT accounts of MA can be interpreted as arguing that they are irrelevant to MA because they lack one or more of five functional criteria that require MA to be integral morally motivated cognitive agency. I argue that SLT accounts of MA, and specifically Bandura's social cognitive theory, (SCT), when applied to issues of MA, meet these criteria. Assuming the merits of SLT explanations of both the acquisition of beliefs and the performance of actions based on them, I conclude that SLTs generally, and specifically Bandura's SCT, are promising candidates for explaining MA. If so, they merit the attention of naturalistic philosophical psychologists. (shrink)

This article reviews a number of different areas in the foundations of formal learning theory. After outlining the general framework for formal models of learning, the Bayesian approach to learning is summarized. This leads to a discussion of Solomonoff's Universal Prior Distribution for Bayesian learning. Gold's model of identification in the limit is also outlined. We next discuss a number of aspects of learning theory raised in contributed papers, related to both computational and (...) representational complexity. The article concludes with a description of how semi-supervised learning can be applied to the study of cognitive learning models. Throughout this overview, the specific points raised by our contributing authors are connected to the models and methods under review. (shrink)

Go beyond reading about early learning theories and see what they look like in action in modern programs and teacher practices. With classroom vignettes and colorful photographs, this book makes the works of Jean Piaget, Erik Erikson, Lev Vygotsky, Abraham Maslow, John Dewey, Howard Gardner, and Louise Derman-Sparks visible, accessible, and easier to understand. Each theory is defined-through engaging stories and rich visuals-in relation to cognitive, social-emotional, and physical developmental domains. Use this book to build a stronger comprehension (...) of the foundations of early learning theories and become more reflective and intentional in your work with young children. (shrink)

Formal learning theory is the mathematical embodiment of a normative epistemology. It deals with the question of how an agent should use observations about her environment to arrive at correct and informative conclusions. Philosophers such as Putnam, Glymour and Kelly have developed learning theory as a normative framework for scientific reasoning and inductive inference.

This paper places formal learning theory in a broader philosophical context and provides a glimpse of what the philosophy of induction looks like from a learning-theoretic point of view. Formal learning theory is compared with other standard approaches to the philosophy of induction. Thereafter, we present some results and examples indicating its unique character and philosophical interest, with special attention to its unified perspective on inductive uncertainty and uncomputability.

This paper explores ways in which experiential learning theories, in particular transformative learning theory, can inform farmer participatory research and extension (PR&E). I identify and discuss three key elements of experiential learning theory – second-order experiences, reflection, and dialogue – that are particularly pertinent to PR&E practice. I then turn to one experiential learning theorist – Mezirow, and examine his theory of transformative learning to assess how it may inform the PR&E process. (...) I outline the basic components and stages of transformative learning and summarize the main criticisms of the theory. Following this, parallels are drawn between transformative learning and what actually takes place in PR&E, and examples are given of the ways in which scientists and rural people may undergo transformative learning through the PR&E process. Ways in which transformative learning can be encouraged within the PR&E context are discussed. I conclude that Mezirow’s work can provide PR&E practitioners and theorists with additional insights into how adults learn and especially how they – researchers, extensionists and rural people – can transform their ways of thinking to accommodate a shift from conventional research and extension to PR&E. (shrink)

In this paper, we explore the possibility that machine learning approaches to naturallanguage processing being developed in engineering-oriented computational linguistics may be able to provide specific scientific insights into the nature of human language. We argue that, in principle, machine learning results could inform basic debates about language, in one area at least, and that in practice, existing results may offer initial tentative support for this prospect. Further, results from computational learning theory can inform arguments carried (...) on within linguistic theory as well. (shrink)

We compare Karl Popper’s ideas concerning the falsifiability of a theory with similar notions from the part of statistical learning theory known as VC-theory . Popper’s notion of the dimension of a theory is contrasted with the apparently very similar VC-dimension. Having located some divergences, we discuss how best to view Popper’s work from the perspective of statistical learning theory, either as a precursor or as aiming to capture a different learning activity.

Computational learning theory explores the limits of learnability. Studying language acquisition from this perspective involves identifying classes of languages that are learnable from the available data, within the limits of time and computational resources available to the learner. Different models of learning can yield radically different learnability results, where these depend on the assumptions of the model about the nature of the learning process, and the data, time, and resources that learners have access to. To the (...) extent that such assumptions accurately reflect human language learning, a model that invokes them can offer important insights into the formal properties of natural languages, and the way in which their representations might be efficiently acquired. In this chapter we consider several computational learning models that have been applied to the language learning task. Some of these have yielded results that suggest that the class of natural languages cannot be efficiently learned from the primary linguistic data (PLD) available to children, through.. (shrink)

In this paper, we explore the possibility that machine learning approaches to naturallanguage processing being developed in engineering-oriented computational linguistics may be able to provide specific scientific insights into the nature of human language. We argue that, in principle, machine learning results could inform basic debates about language, in one area at least, and that in practice, existing results may offer initial tentative support for this prospect. Further, results from computational learning theory can inform arguments carried (...) on within linguistic theory as well. (shrink)

Statistical Learning Theory (e.g., Hastie et al., 2001; Vapnik, 1998, 2000, 2006) is the basic theory behind contemporary machine learning and data-mining. We suggest that the theory provides an excellent framework for philosophical thinking about inductive inference.

Formal learning theory is an approach to the study of inductive inference that has been developed by computer scientists. In this paper, I discuss the relevance of formal learning theory to such standard topics in the philosophy of science as underdetermination, realism, scientific progress, methodology, bounded rationality, the problem of induction, the logic of discovery, the theory of knowledge, the philosophy of artificial intelligence, and the philosophy of psychology.

Artificial intelligence research connected with learning theory ("deep learning," “machine learning,” analysis of the quality of learning, etc.) has existed for many years; however, there have been few investigations in that area conducted from a robust philosophical methodological basis.

This paper sketches an alternative answer to James Jones's recent attempt to explore the implications of cognitive social learning theories of personality for issues in epistemology, philosophy of science, and religious studies. Since the 1960s, two cognitive revolutions have taken place in scientific psychology: the first made cognition central to theories of perception, memory, problem solving, and so on; the second made cognition central to theories of learning and behavior, among others. Cognitive social learning theories find their (...) place in the latter revolution. Because of an ongoing naturalistic revolution in philosophy, these cognitive revolutions in psychology are having a profound effect on both descriptive and normative issues in epistemology and philosophy of science. From the naturalistic perspective, philosophy cannot adequately pursue its goals without the contributions of the empirical sciences, including psychology. The author concludes that the cognitive revolutions in psychology and the naturalistic revolution in philosophy have similar descriptive and normative import for the study of religion. (shrink)

This paper discusses the possibility of modelling inductive inference (Gold 1967) in dynamic epistemic logic (see e.g. van Ditmarsch et al. 2007). The general purpose is to propose a semantic basis for designing a modal logic for learning in the limit. First, we analyze a variety of epistemological notions involved in identification in the limit and match it with traditional epistemic and doxastic logic approaches. Then, we provide a comparison of learning by erasing (Lange et al. 1996) and (...) iterated epistemic update (Baltag and Moss 2004) as analyzed in dynamic epistemic logic. We show that finite identification can be modelled in dynamic epistemic logic, and that the elimination process of learning by erasing can be seen as iterated belief-revision modelled in dynamic doxastic logic. Finally, we propose viewing hypothesis spaces as temporal frames and discuss possible advantages of that perspective. (shrink)

then essentially characterized the hypotheses that mechanical scientists can successfully decide in the limit in terms of arithmetic complexity. These ideas were developed still further by Peter Kugel [4]. In this paper, I extend this approach to obtain characterizations of identification in the limit, identification with bounded mind-changes, and identification in the short run, both for computers and for ideal agents with unbounded computational abilities. The characterization of identification with n mind-changes entails, as a corollary, an exact arithmetic characterization of (...) Putnam's n-trial predicates, which closes a gap of a factor of two in Putnam's original characterization [12]. (shrink)

In this article, we provide a tutorial overview of some aspects of statistical learning theory, which also goes by other names such as statistical pattern recognition, nonparametric classification and estimation, and supervised learning. We focus on the problem of two-class pattern classification for various reasons. This problem is rich enough to capture many of the interesting aspects that are present in the cases of more than two classes and in the problem of estimation, and many of the (...) results can be extended to these cases. Focusing on two-class pattern classification simplifies our discussion, and yet it is directly applicable to a wide range of practical settings. (shrink)