Annotationen:Knowing without Metaphysics: Aspects of the Radical Constructivist Position
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Fourth, there is the evolutionary idea. William James (1880) was apparently the first to suggest that the evolution of knowledge could be mapped by using the central concepts of Darwin’s theory, namely natural selection and adaptation. Since then, this idea was picked up or independently developed by thinkers with very different backgrounds and in different places.[5]
Fourth, there is the evolutionary idea. William James (1880) was apparently the first to suggest that the evolution of knowledge could be mapped by using the central concepts of Darwin’s theory, namely natural selection and adaptation. Since then, this idea was picked up or independently developed by thinkers with very different backgrounds and in different places.[5]
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The third key idea is that of cognitive construction. To my knowledge it was first suggested by the Italian philosopher Giambattista Vico (1710) who coined the phrase I have often quoted: ‘God is the artificer of man, man the god of artifacts.’ He explained this by saying that, in order to know something, one had to know how and out of what it was made. Hence, God alone can know the real world, because it was He who created it; the human knower, analogously, could know only what humans have constructed.
The third key idea is that of cognitive construction. To my knowledge it was first suggested by the Italian philosopher Giambattista Vico (1710) who coined the phrase I have often quoted: ‘God is the artificer of man, man the god of artifacts.’ He explained this by saying that, in order to know something, one had to know how and out of what it was made. Hence, God alone can know the real world, because it was He who created it; the human knower, analogously, could know only what humans have constructed.
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Another thinker who took up the notion of conceptual construction and produced a truly remarkable compendium of detailed analyses was Jeremy Bentham. He developed his Theory of Fictions between 1760 (when he entered Oxford at the age of twelve and a half!) and 1814, when he published his first systematic exposition. He concluded: ‘To language, then – to language alone – it is that fictitious entities owe their existence; their impossible, yet indispensable existence.’[4] Bentham’s work supplied conceptual analyses that should be of great interest to contemporary constructivists. They are, in fact, the first ‘operational’ recipes for the construction of concepts and anticipate in some instances the ‘operational definitions’ of Percy Bridgman (1936) and consequently the operational analyses of Jean Piaget and the operational semantics of Silvio Ceccato (1964-66). Both Piaget and Ceccato, who hardly ever explicitly agree with other authors, gave an honorable mention to Percy Bridgman for his revolutionary idea of defining concepts in terms of the operations that give rise to them. It was unfortunate for American psychology that the behavioristic establishment propagated the misunderstanding that the operations that generate concepts had to be physical operations. Bridgman’s important contribution was the insight that the physical world, in order to be conceptualized, required mental operations on the part of the observer (see Bridgman, 1936).
Another thinker who took up the notion of conceptual construction and produced a truly remarkable compendium of detailed analyses was Jeremy Bentham. He developed his Theory of Fictions between 1760 (when he entered Oxford at the age of twelve and a half!) and 1814, when he published his first systematic exposition. He concluded: ‘To language, then – to language alone – it is that fictitious entities owe their existence; their impossible, yet indispensable existence.’[4] Bentham’s work supplied conceptual analyses that should be of great interest to contemporary constructivists. They are, in fact, the first ‘operational’ recipes for the construction of concepts and anticipate in some instances the ‘operational definitions’ of Percy Bridgman (1936) and consequently the operational analyses of Jean Piaget and the operational semantics of Silvio Ceccato (1964-66). Both Piaget and Ceccato, who hardly ever explicitly agree with other authors, gave an honorable mention to Percy Bridgman for his revolutionary idea of defining concepts in terms of the operations that give rise to them. It was unfortunate for American psychology that the behavioristic establishment propagated the misunderstanding that the operations that generate concepts had to be physical operations. Bridgman’s important contribution was the insight that the physical world, in order to be conceptualized, required mental operations on the part of the observer (see Bridgman, 1936).
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I am in agreement with Maturana when he says: ‘an observer has no operational basis to make any statements or claim about objects, entities or relations as if they existed independently of what he or she does’ (1988: 30).
I am in agreement with Maturana when he says: ‘an observer has no operational basis to make any statements or claim about objects, entities or relations as if they existed independently of what he or she does’ (1988: 30).
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"We shall not think that by being “scientific” or “philosophical” one genre of writing can attain an “objectivity” which another, “literary”, cannot." Richard Rorty (1983: 174)
"We shall not think that by being “scientific” or “philosophical” one genre of writing can attain an “objectivity” which another, “literary”, cannot." Richard Rorty (1983: 174)
Argumentation2
Two aspects of this development are crucial for an understanding of Radical Constructivism. First, all this distinguishing and constructing of one’s ‘self’ takes place within the experiential field, uses elements of the sensory manifold, and is the result of the experiencer’s own actions. It does not require ‘things-in-themselves’ or ‘distinctions-in-themselves’ that could be ascribed to an objective, ontological reality. Second, what is isolated and established in this way, is the self one experiences – it is not that mysterious central entity that does the experiencing.
Two aspects of this development are crucial for an understanding of Radical Constructivism. First, all this distinguishing and constructing of one’s ‘self’ takes place within the experiential field, uses elements of the sensory manifold, and is the result of the experiencer’s own actions. It does not require ‘things-in-themselves’ or ‘distinctions-in-themselves’ that could be ascribed to an objective, ontological reality. Second, what is isolated and established in this way, is the self one experiences – it is not that mysterious central entity that does the experiencing.
The constructs with which we have furnished our experiential world are those we have found useful or, at least, tenable. We use them in our schemes of action and in our conceptual operations; we drop or modify them if their rate of failure gets too high and we are able to construct more reliable ones; and we try to balance and coordinate them among each other. The more generally they are applicable, the less of them we need. And, given the variety of situations we come to distinguish, economy in the number of schemes becomes an important consideration.
In all this there is an aspect that was clearly stated by Piaget but was mostly ignored or misunderstood by both his followers and his critics. The experiential environment in which an individual’s constructs and schemes must prove viable is always a social environment as well as a physical one. Though one’s concepts, one’s ways of operating, and one’s knowledge cannot be constructed by any other subject than oneself, it is their viability, their adequate functioning in one’s physical and social environment, that furnishes the key to the solidification of the individual’s experiential reality (von Glasersfeld, 1985).WissenschaftlicheReferenz2
The early stages of this progression are part and parcel of the development that Piaget (1967b: 9) called a Copernican Revolution at the end of which, ‘when language and thought begin, (the child) is for all practical purposes but one element or entity among others in a universe that he has gradually constructed himself, and which hereafter he will experience as external to himself.’
The early stages of this progression are part and parcel of the development that Piaget (1967b: 9) called a Copernican Revolution at the end of which, ‘when language and thought begin, (the child) is for all practical purposes but one element or entity among others in a universe that he has gradually constructed himself, and which hereafter he will experience as external to himself.’
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It can be seen even more clearly in medicine, as soon as we step out of the traditional realist framework. Take the procedure a physician uses when he makes a diagnosis. When certain features, observed in a patient’s appearance, behavior, or reports, are recognized as the characteristic symptoms of a particular disorder, it is the outcome of an interpretation. And this interpretation is possible only on the basis of the conceptual structures the physician has built up in his or her own experience – experience that may have been gained by interpreting the language in medical books, by interpreting tests, and by interpreting the treatment of prior patients. Physicians may tend to call all these elements ‘facts’; but these elements, including the chemical analyses and the reading of instruments that constitute their tests, are facts only in the context of such theoretical models as have turned out to be useful (cf. Fleck, 1935).
It can be seen even more clearly in medicine, as soon as we step out of the traditional realist framework. Take the procedure a physician uses when he makes a diagnosis. When certain features, observed in a patient’s appearance, behavior, or reports, are recognized as the characteristic symptoms of a particular disorder, it is the outcome of an interpretation. And this interpretation is possible only on the basis of the conceptual structures the physician has built up in his or her own experience – experience that may have been gained by interpreting the language in medical books, by interpreting tests, and by interpreting the treatment of prior patients. Physicians may tend to call all these elements ‘facts’; but these elements, including the chemical analyses and the reading of instruments that constitute their tests, are facts only in the context of such theoretical models as have turned out to be useful (cf. Fleck, 1935).
Argumentation2
Some educators and researchers in education have come to the conclusion that, as a foundation for their activities, they must develop some theoretical ideas as to how children build up their picture of the world they experience. They believe that unless they have a model of the student’s concepts and conceptual operations, there is no effective way of teaching. In other words, they have begun to think in terms not only of cognitive but also of developmental psychology. this is a far cry from the still widespread behavioristic orientation that focuses exclusively on training and disregards learning.
Some educators and researchers in education have come to the conclusion that, as a foundation for their activities, they must develop some theoretical ideas as to how children build up their picture of the world they experience. They believe that unless they have a model of the student’s concepts and conceptual operations, there is no effective way of teaching. In other words, they have begun to think in terms not only of cognitive but also of developmental psychology. this is a far cry from the still widespread behavioristic orientation that focuses exclusively on training and disregards learning.
As long as the educator’s objective was the generation of more or less specific behaviors in the student, the educator saw no need to ask what, if anything, might be going on in the student’s head. Whenever the student could be got to ‘emit’ the desired behaviors in the situations with which they had been associated, the instructional process was deemed successful. The student did not have to see why the particular actions led to a result that was considered ‘correct’, nor did the educator have to worry about how the student achieved it, what mattered was the ‘performance’, that is, that he or she was able to produce such a result.
If, in contrast, the objective is to lead the children or students to some form of understanding, the teacher must have some notion of how they think. That is to say, teachers must try to infer, from what they can observe, what the students’ concepts are and how they operate with them. Only on the basis of some such hypothesis can teachers devise ways and means to orient, direct, or modify the students’ mental operating. This is a context in which the constructivist approach and its analysis of conceptual development seemed promising.Argumentation2
This first distinction, as I have frequently said, is analogous to the one the artist makes with the first few lines on a sheet of paper, lines that determine what is going to be ‘figure’ and what ‘ground’. For the point of view I have adopted, the most important thing about that distinction is not what is being distinguished, but that the artist makes the distinction within the sheet, the canvas, or whatever he happens to be drawing on. Both figure and ground are parts of one and the same sheet. This is the feature traditional epistemology has tended to obscure: the distinction between the self and its environment is made, and can only be made, within an observer’s field of experience and does not concern the distinction between the observing subject and an ‘objective’ world to be observed or known. In other words, the self we come to know and the world we come to know are both assembled out of elements of our very own experience.
This first distinction, as I have frequently said, is analogous to the one the artist makes with the first few lines on a sheet of paper, lines that determine what is going to be ‘figure’ and what ‘ground’. For the point of view I have adopted, the most important thing about that distinction is not what is being distinguished, but that the artist makes the distinction within the sheet, the canvas, or whatever he happens to be drawing on. Both figure and ground are parts of one and the same sheet. This is the feature traditional epistemology has tended to obscure: the distinction between the self and its environment is made, and can only be made, within an observer’s field of experience and does not concern the distinction between the observing subject and an ‘objective’ world to be observed or known. In other words, the self we come to know and the world we come to know are both assembled out of elements of our very own experience.
Argumentation2
Jean Piaget launched the notion of constructivism in developmental psychology. As I interpret his work (von Glasersfeld, 1982), it is the direct consequence of two fundamental insights: (I)that cognition produces conceptual structures by reflective abstraction from material that is available within the system and from the operations carried out with that material; and (2) that the function of cognition is adaptive in the biological senses (Piaget, 1937, 1967b). To realize the full power of the second, one must grasp the idea that adaptation is not an activity but the result of the elimination of the non-adapted, the non-functioning, and that, consequently, anything that manages to survive is ‘adapted’ to the environment in which it happens to find itself living. Once this is understood, one realizes that what matters is not to match the world, but to fit into it in spite of whatever obstacles or traps it might present. Applied to cognition, this means that ‘to know’ is not to possess ‘true representations’ of reality, but rather to possess ways and means of acting and thinking that allow one to attain the goals one happens to have chosen. To know, thus, is not to have ‘correct pictures’ but, viable procedures or, as Maturana said (1988: 53), ‘to operate adequately in an individual or cooperative situation’.
Jean Piaget launched the notion of constructivism in developmental psychology. As I interpret his work (von Glasersfeld, 1982), it is the direct consequence of two fundamental insights: (I)that cognition produces conceptual structures by reflective abstraction from material that is available within the system and from the operations carried out with that material; and (2) that the function of cognition is adaptive in the biological senses (Piaget, 1937, 1967b). To realize the full power of the second, one must grasp the idea that adaptation is not an activity but the result of the elimination of the non-adapted, the non-functioning, and that, consequently, anything that manages to survive is ‘adapted’ to the environment in which it happens to find itself living. Once this is understood, one realizes that what matters is not to match the world, but to fit into it in spite of whatever obstacles or traps it might present. Applied to cognition, this means that ‘to know’ is not to possess ‘true representations’ of reality, but rather to possess ways and means of acting and thinking that allow one to attain the goals one happens to have chosen. To know, thus, is not to have ‘correct pictures’ but, viable procedures or, as Maturana said (1988: 53), ‘to operate adequately in an individual or cooperative situation’.
WissenschaftlicheReferenz2
Jean Piaget launched the notion of constructivism in developmental psychology. As I interpret his work (von Glasersfeld, 1982), it is the direct consequence of two fundamental insights: (I)that cognition produces conceptual structures by reflective abstraction from material that is available within the system and from the operations carried out with that material; and (2) that the function of cognition is adaptive in the biological senses (Piaget, 1937, 1967b).
Jean Piaget launched the notion of constructivism in developmental psychology. As I interpret his work (von Glasersfeld, 1982), it is the direct consequence of two fundamental insights: (I)that cognition produces conceptual structures by reflective abstraction from material that is available within the system and from the operations carried out with that material; and (2) that the function of cognition is adaptive in the biological senses (Piaget, 1937, 1967b).
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The second key idea concerns the status of science. That scientific knowledge should not be taken as a picture of the ‘real’ world was clearly formulated by Osiander in his preface to Copernicus’s work on the motion of planets, and some seventy years later by Cardinal Bellarmino in the context of Galileo’s trial.[3] Both of them suggested that science and its computations should be considered instrumental in the prediction of experiences but must never claim to capture God’s truth. These two theologians, one a Protestant, the other a Catholic, took this position to protect their faith and its sources in dogma and revelation from being undermined by scepticism and scientific arguments. They thus, for religious reasons, laid the foundation of Instrumentalism, which came to its full worldly development with Ernst Mach (1905), Aleksandr Bogdanov (1909), and the Pragmatists at the beginning of the twentieth century.
The second key idea concerns the status of science. That scientific knowledge should not be taken as a picture of the ‘real’ world was clearly formulated by Osiander in his preface to Copernicus’s work on the motion of planets, and some seventy years later by Cardinal Bellarmino in the context of Galileo’s trial.[3] Both of them suggested that science and its computations should be considered instrumental in the prediction of experiences but must never claim to capture God’s truth. These two theologians, one a Protestant, the other a Catholic, took this position to protect their faith and its sources in dogma and revelation from being undermined by scepticism and scientific arguments. They thus, for religious reasons, laid the foundation of Instrumentalism, which came to its full worldly development with Ernst Mach (1905), Aleksandr Bogdanov (1909), and the Pragmatists at the beginning of the twentieth century.
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Hans Vaihinger, apparently without drawing on the much earlier analyses of Jeremy Bentham, created the most comprehensive and consistent work on conceptual ‘fictions’. His Philosophy of As If (1913)[6] has become particularly interesting today, given the revolution in the philosophy of science and the recognition that, even in the ‘hard’ sciences, key concepts can be considered convenient ideal fictions. While Vaihinger provides endless ammunition for contemporary constructivists, I would not classify him as ‘radical’, because when everything is said and done, he anchors the conceptual apparatus that produces the ‘fictitious’ concepts in the theory of biological evolution. In doing so, he tacitly attributes ontological status to that theory. Konrad Lorenz incidentally falls into the same trap when he argues that the fact that human organisms have evolved and successfully use the categories of space and time, proves that these categories pertain to an ‘objective’ reality (1977: 9-10).
Hans Vaihinger, apparently without drawing on the much earlier analyses of Jeremy Bentham, created the most comprehensive and consistent work on conceptual ‘fictions’. His Philosophy of As If (1913)[6] has become particularly interesting today, given the revolution in the philosophy of science and the recognition that, even in the ‘hard’ sciences, key concepts can be considered convenient ideal fictions. While Vaihinger provides endless ammunition for contemporary constructivists, I would not classify him as ‘radical’, because when everything is said and done, he anchors the conceptual apparatus that produces the ‘fictitious’ concepts in the theory of biological evolution. In doing so, he tacitly attributes ontological status to that theory. Konrad Lorenz incidentally falls into the same trap when he argues that the fact that human organisms have evolved and successfully use the categories of space and time, proves that these categories pertain to an ‘objective’ reality (1977: 9-10).
Innovationsdiskurs2
Like any apparently novel approach to the basic epistemological problems of ‘knowledge’, the constructivist ideas that have spread in the last twenty years continue to generate a host of negative as well as a few positive reactions. I shall focus on some aspects of Radical Constructivism, as distinct from ‘trivial’ constructivisms,[1] and try to show that the major objections that have been raised against it are due to gross misinterpretation and turn out to be vacuous once the position is made a little clearer.
Like any apparently novel approach to the basic epistemological problems of ‘knowledge’, the constructivist ideas that have spread in the last twenty years continue to generate a host of negative as well as a few positive reactions. I shall focus on some aspects of Radical Constructivism, as distinct from ‘trivial’ constructivisms,[1] and try to show that the major objections that have been raised against it are due to gross misinterpretation and turn out to be vacuous once the position is made a little clearer.
Argumentation2
One of the standard objections to constructivism, particularly radical constructivism, runs somewhat like this: ‘there’s a book in front of you on the table; you know it’s a book, I know it’s a book, and anyone who looks at it would recognize it as a book – why do you keep telling us that the book is not really there?’ To give anything like a complete answer to this question, one would have to explicate at least all the key ideas of the constructivist approach I have listed above, and one would have to reiterate that constructivism deals with knowing not with being. There is no simple argument to justify the distinction between experiential reality and ontological reality. One might reply that life would be a lot easier if no one claimed to know the world as it is, and that the constructivist orientation is one way to avoid such claims. As a constructivist, I have never said (nor would I ever say) that there is no ontic world, but I keep saying that we cannot know it. I am in agreement with Maturana when he says: ‘an observer has no operational basis to make any statements or claim about objects, entities or relations as if they existed independently of what he or she does’ (1988: 30).
One of the standard objections to constructivism, particularly radical constructivism, runs somewhat like this: ‘there’s a book in front of you on the table; you know it’s a book, I know it’s a book, and anyone who looks at it would recognize it as a book – why do you keep telling us that the book is not really there?’ To give anything like a complete answer to this question, one would have to explicate at least all the key ideas of the constructivist approach I have listed above, and one would have to reiterate that constructivism deals with knowing not with being. There is no simple argument to justify the distinction between experiential reality and ontological reality. One might reply that life would be a lot easier if no one claimed to know the world as it is, and that the constructivist orientation is one way to avoid such claims. As a constructivist, I have never said (nor would I ever say) that there is no ontic world, but I keep saying that we cannot know it. I am in agreement with Maturana when he says: ‘an observer has no operational basis to make any statements or claim about objects, entities or relations as if they existed independently of what he or she does’ (1988: 30).
Argumentation2
To return to education, the constructivist teacher will not be primarily interested in observable results, but rather in what students think they are doing and why they believe that their way of operating will lead to the solution of the problem at hand. The rationale of this shift of focus is simple: if one wants to generate understanding, the reasons why a student operates in a certain way are far more indicative of the student’s stage of conceptual development than whether or not these operations lead to a result that the teacher finds acceptable. This, of course, is the reason why the best teachers have always paid more attention to the sources of mistakes than to the how of students’ correct answers.
To return to education, the constructivist teacher will not be primarily interested in observable results, but rather in what students think they are doing and why they believe that their way of operating will lead to the solution of the problem at hand. The rationale of this shift of focus is simple: if one wants to generate understanding, the reasons why a student operates in a certain way are far more indicative of the student’s stage of conceptual development than whether or not these operations lead to a result that the teacher finds acceptable. This, of course, is the reason why the best teachers have always paid more attention to the sources of mistakes than to the how of students’ correct answers.
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This strict limitation of human understanding was kept alive and generalized by the sceptics of later ages (for example, Montaigne, Mersenne, Berkeley, Hume) who applied it to rational knowledge as such. Kant, then, produced its final formulation in his Critique of Pure Reason[2] which all subsequent philosophers have unsuccessfully struggled to undo
This strict limitation of human understanding was kept alive and generalized by the sceptics of later ages (for example, Montaigne, Mersenne, Berkeley, Hume) who applied it to rational knowledge as such. Kant, then, produced its final formulation in his Critique of Pure Reason[2] which all subsequent philosophers have unsuccessfully struggled to undo
Innovationsdiskurs2
To embark on the radical constructivist path, thus, means to relinquish the age-old untestable requirement that knowledge must match the world as it might ‘exist’ independently of our experience; instead, one demands of knowledge that it prove itself by a functional fit. From my perspective, those who merely speak of the construction of knowledge, but do not explicitly give up the notion that our conceptual constructions can or should in some way represent an independent, ‘objective’ reality, are still caught up in the traditional theory of knowledge that is defenseless against the sceptics’ arguments. From an epistemological point of view, therefore, their constructivism is trivial. Trivial constructivism manifests itself in professionals who treat the knowledge of others as subjective construction and never doubt the ‘objectivity’ of their own.
To embark on the radical constructivist path, thus, means to relinquish the age-old untestable requirement that knowledge must match the world as it might ‘exist’ independently of our experience; instead, one demands of knowledge that it prove itself by a functional fit. From my perspective, those who merely speak of the construction of knowledge, but do not explicitly give up the notion that our conceptual constructions can or should in some way represent an independent, ‘objective’ reality, are still caught up in the traditional theory of knowledge that is defenseless against the sceptics’ arguments. From an epistemological point of view, therefore, their constructivism is trivial. Trivial constructivism manifests itself in professionals who treat the knowledge of others as subjective construction and never doubt the ‘objectivity’ of their own.
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Though there is no way to get around the uncertainty inherent in all conjectures about another’s mental states and processes, it would be foolish to say that this uncertainty makes the conjectured models useless. As long as the models we construct help us to solve the problems that concern us, their ontological status ought not to worry us. This has been well documented in theoretical physics.[9]
Though there is no way to get around the uncertainty inherent in all conjectures about another’s mental states and processes, it would be foolish to say that this uncertainty makes the conjectured models useless. As long as the models we construct help us to solve the problems that concern us, their ontological status ought not to worry us. This has been well documented in theoretical physics.[9]
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as Maturana said (1988: 53), ‘to operate adequately in an individual or cooperative situation’.
as Maturana said (1988: 53), ‘to operate adequately in an individual or cooperative situation’.
WissenschaftlicheReferenz2
In spite of Piaget’s seminal work, that area is still to a large extent terra incognita. Besides, it is an area in which there are likely to be no ultimate ‘laws of nature’. On the other hand, we have seen enough of it to say that we can formulate rules that have a remarkably wide application. In a recent report, my colleague Les Steffe and I wrote: “Working with children is in many ways like working with foreigners with whom one has only fragments of a language in common. The situation is extreme when the work involves numbers and mathematical operations and aims at developing some insight into how a given child thinks of numbers and how he or she operates with them. Anyone who has seriously tried to investigate what actually goes on in a child’s head when that child is struggling to solve an addition or subtraction problem at the limit of his or her present capability, will have realized that the child’s mathematical world is indeed outlandish from the adult’s point of view Yet, children who have not been totally alienated from the number game and have at least a modicum of motivation do not act randomly. They do proceed according to some method, even if that method would seem unorthodox to the experienced reckoner. To get an inkling of what that method might be the investigator cannot but use his or her own imagination and try to conceive a reasonable path that might connect such manifestations of the child’s operating as can be observed, with steps that could possibly lead to an answer to the given question. That is to say, no matter how hard investigators try to adapt their analyses to the ‘foreign’ ways of the child the model they build up will always be a model constructed out of concepts that are necessarily the investigators’. Because the child’s way of thinking is never directly accessible, the investigators’ model can never be compared to it in order to determine whether there is or is not a perfect match. The most one can hope for is that the model fits whatever observations one has made and, more importantly, that it remains viable in the face of new observations.”
In spite of Piaget’s seminal work, that area is still to a large extent terra incognita. Besides, it is an area in which there are likely to be no ultimate ‘laws of nature’. On the other hand, we have seen enough of it to say that we can formulate rules that have a remarkably wide application. In a recent report, my colleague Les Steffe and I wrote: “Working with children is in many ways like working with foreigners with whom one has only fragments of a language in common. The situation is extreme when the work involves numbers and mathematical operations and aims at developing some insight into how a given child thinks of numbers and how he or she operates with them. Anyone who has seriously tried to investigate what actually goes on in a child’s head when that child is struggling to solve an addition or subtraction problem at the limit of his or her present capability, will have realized that the child’s mathematical world is indeed outlandish from the adult’s point of view Yet, children who have not been totally alienated from the number game and have at least a modicum of motivation do not act randomly. They do proceed according to some method, even if that method would seem unorthodox to the experienced reckoner. To get an inkling of what that method might be the investigator cannot but use his or her own imagination and try to conceive a reasonable path that might connect such manifestations of the child’s operating as can be observed, with steps that could possibly lead to an answer to the given question. That is to say, no matter how hard investigators try to adapt their analyses to the ‘foreign’ ways of the child the model they build up will always be a model constructed out of concepts that are necessarily the investigators’. Because the child’s way of thinking is never directly accessible, the investigators’ model can never be compared to it in order to determine whether there is or is not a perfect match. The most one can hope for is that the model fits whatever observations one has made and, more importantly, that it remains viable in the face of new observations.”
Innovationsdiskurs2
For psychologists this is a difficult idea to swallow, because they have for a long time lived with the idea that there is such a thing as linguistic confirmation of one’s interpretation of another’s thoughts. This belief was based on an untenable conception of ‘communication’. If the constructivist movement has done anything at all, it has dismantled the image of language as a means of transferring thoughts, meanings, knowledge, or ‘information’ from one speaker to another.
For psychologists this is a difficult idea to swallow, because they have for a long time lived with the idea that there is such a thing as linguistic confirmation of one’s interpretation of another’s thoughts. This belief was based on an untenable conception of ‘communication’. If the constructivist movement has done anything at all, it has dismantled the image of language as a means of transferring thoughts, meanings, knowledge, or ‘information’ from one speaker to another.
WissenschaftlicheReferenz2
Near the end of his book La construction du réel chez l’enfant (1937), Piaget uses a simple drawing to illustrate his approach to the question of how cognitive development begins. The drawing consists essentially of a small circle, framed hy a much larger concentric one. It shows what Spencer Brown (1969), thirty years later, would call ‘the first distinction’, and it is, in Spencer Brown’s terms, as yet ‘unmarked’.
Near the end of his book La construction du réel chez l’enfant (1937), Piaget uses a simple drawing to illustrate his approach to the question of how cognitive development begins. The drawing consists essentially of a small circle, framed hy a much larger concentric one. It shows what Spencer Brown (1969), thirty years later, would call ‘the first distinction’, and it is, in Spencer Brown’s terms, as yet ‘unmarked’.
Argumentation2
I, too, arrived at this conclusion, albeit by a path that was quite different from his: I started from the sceptics, he from biology. The crucial point is that we do not make claims of knowing what exists ‘in itself’, that is, without an observer or experiencer. I, for one, am talking about what we know or can know. And as far as our knowledge (not God’s knowledge) is concerned, I claim that we cannot even imagine what the word ‘to exist’ might mean in an ontological context, because we cannot conceive of ‘being’ without the notions of space and time, and these two notions are among the first of our conceptual constructs.[7]
I, too, arrived at this conclusion, albeit by a path that was quite different from his: I started from the sceptics, he from biology. The crucial point is that we do not make claims of knowing what exists ‘in itself’, that is, without an observer or experiencer. I, for one, am talking about what we know or can know. And as far as our knowledge (not God’s knowledge) is concerned, I claim that we cannot even imagine what the word ‘to exist’ might mean in an ontological context, because we cannot conceive of ‘being’ without the notions of space and time, and these two notions are among the first of our conceptual constructs.[7]
Argumentation2
Near the end of his book La construction du réel chez l’enfant (1937), Piaget uses a simple drawing to illustrate his approach to the question of how cognitive development begins. The drawing consists essentially of a small circle, framed hy a much larger concentric one. It shows what Spencer Brown (1969), thirty years later, would call ‘the first distinction’, and it is, in Spencer Brown’s terms, as yet ‘unmarked’. That is to say, no characteristics have been ascribed to the distinguished areas, one inside, the other outside, the framed circle. Descriptions follow, as the child makes further distinctions that separate it from an ‘environment’. Thus the inside becomes ‘self’, the outside the individual’s ‘universe’.
Near the end of his book La construction du réel chez l’enfant (1937), Piaget uses a simple drawing to illustrate his approach to the question of how cognitive development begins. The drawing consists essentially of a small circle, framed hy a much larger concentric one. It shows what Spencer Brown (1969), thirty years later, would call ‘the first distinction’, and it is, in Spencer Brown’s terms, as yet ‘unmarked’. That is to say, no characteristics have been ascribed to the distinguished areas, one inside, the other outside, the framed circle. Descriptions follow, as the child makes further distinctions that separate it from an ‘environment’. Thus the inside becomes ‘self’, the outside the individual’s ‘universe’.
Argumentation2
To perceive or recognize a book (or anything else) is to find something in one’s experiential field that fits one’s concept of ‘book’. It does not mean that a ‘real’ or ‘ontic’ object that is a book has to be there before one has seen it as a book. All it means is that in some part of our present experiential field there is the kind of raw material which, if coordinated in a particular way, is sufficiently close to what our concept of book demands, so that we accept it as an instantiation of that concept.
To perceive or recognize a book (or anything else) is to find something in one’s experiential field that fits one’s concept of ‘book’. It does not mean that a ‘real’ or ‘ontic’ object that is a book has to be there before one has seen it as a book. All it means is that in some part of our present experiential field there is the kind of raw material which, if coordinated in a particular way, is sufficiently close to what our concept of book demands, so that we accept it as an instantiation of that concept.
Two points have to be made clear in this context because they, too have led to misunderstandings. First, ‘concepts’, in my view, are not like picture postcards against which one matches experiential material rather, they are pathways of action or operation and they can either be completed with the experiential material at hand, or they cannot, and the rigor with which that completion is required and carried out always depends on the particular setting in which the activity takes place. The second point concerns what I have called the ‘raw material’. The ‘stuff’ on this lowest level of analysis is not something that lies about in an objective environment. It is no more, but also no less, than the totality of basic sensory elements or distinctions our system is able to generate.
Concepts, therefore, have no iconic or representational connection with anything that might ‘exist’ outside the cognizing system; and the raw material out of which concepts are composed or coordinated cannot be known to have any such connection either. To call the basic elements of our cognitive conceptual constructions ‘distinctions’ is, I think, the least misleading way of speaking about them. From the distinguisher’s point of view, what is actually distinguished depends not on what might be there before the activity of distinguishing is carried out, but on what the organism is able to distinguish and chooses to distinguish in the given experiential context.Innovationsdiskurs2
And, given the variety of situations we come to distinguish, economy in the number of schemes becomes an important consideration. In all this there is an aspect that was clearly stated by Piaget but was mostly ignored or misunderstood by both his followers and his critics.
And, given the variety of situations we come to distinguish, economy in the number of schemes becomes an important consideration. In all this there is an aspect that was clearly stated by Piaget but was mostly ignored or misunderstood by both his followers and his critics.
Innovationsdiskurs2
I begin with a brief historical review of key ideas that were crucial for the development of the constructivist position. Needless to say, this review will be biased and, given the limitations of space, incomplete. Then I shall deal with the frequent complaint that constructivism denies the existence of any reality and counter it by explaining some of the steps involved in the construction of what I have called experiential reality. Ideally this should add up to a demonstration that the constructivist approach to the problem of knowledge is a feasible one.
I begin with a brief historical review of key ideas that were crucial for the development of the constructivist position. Needless to say, this review will be biased and, given the limitations of space, incomplete. Then I shall deal with the frequent complaint that constructivism denies the existence of any reality and counter it by explaining some of the steps involved in the construction of what I have called experiential reality. Ideally this should add up to a demonstration that the constructivist approach to the problem of knowledge is a feasible one.
WissenschaftlicheReferenz2
Where teachers have been able to organize these notions to formulate relatively generalizable, coherent models of the required cognitive processes and the heuristics to influence them, they have scored remarkable successes in achieving their educational goals (Cobb, 1987; Steffe et al., 1983).
Where teachers have been able to organize these notions to formulate relatively generalizable, coherent models of the required cognitive processes and the heuristics to influence them, they have scored remarkable successes in achieving their educational goals (Cobb, 1987; Steffe et al., 1983).
Argumentation2
Just as language arises and becomes a relatively stable system through the continual interaction of the individuals that use it, so a great many of the conceptual schemes that individuals construct are reinforced through their application in social interaction. This is a subtle, complicated issue and I shall try to explicate it with an example that may seem absurdly simple.
Just as language arises and becomes a relatively stable system through the continual interaction of the individuals that use it, so a great many of the conceptual schemes that individuals construct are reinforced through their application in social interaction. This is a subtle, complicated issue and I shall try to explicate it with an example that may seem absurdly simple.
Assume you have made an appointment with a friend to meet in a certain place on a certain day. When the day comes, a lot of snow has fallen during the preceding night. There is a shorter and a longer way to drive to the arranged place. You know that the longer way is the quicker when there is snow on the roads. You know this from your own experience in your subjective physical environment. But now you use it in your social environment by predicting that your friend will come by that route. If your prediction turns out to be correct and, especially, if your friend confirms that he chose the longer way for the reason that you had in mind, your reasoning will be greatly reinforced and the elements that were involved in it will seem more like an objective reality that is independent of both of you.
As I said, this is an absurdly simple example, but I have no hesitation about generalizing it: If a prediction, made on the basis of imputing to another person a scheme of acting or thinking that one has found to be viable for oneself, turns out to be correct, then that scheme and the conceptual structures it involves achieve a level of experiential reality that cannot be reached without the social context. Indeed, this kind of ‘corroboration’ produces the only objectivity that is possible in the Radical Constructivist view.Innovationsdiskurs2
Radical Constructivism was conceived as an attempt to circumvent the paradox of traditional epistemology that springs from a perennial assumption that is inextricably knitted into Western philosophy: the assumption that knowledge may be called ‘true’ only if it can be considered a more or less accurate representation of a world that exists ‘in itself’, prior to and independent of the knower’s experience of it. The paradox arises, because the works of philosophers by and large imply, if not explicitly claim, that they embody a path towards Truth and True representations of the world, yet none of them has been able to provide a feasible test for the accuracy of such representations.
Radical Constructivism was conceived as an attempt to circumvent the paradox of traditional epistemology that springs from a perennial assumption that is inextricably knitted into Western philosophy: the assumption that knowledge may be called ‘true’ only if it can be considered a more or less accurate representation of a world that exists ‘in itself’, prior to and independent of the knower’s experience of it. The paradox arises, because the works of philosophers by and large imply, if not explicitly claim, that they embody a path towards Truth and True representations of the world, yet none of them has been able to provide a feasible test for the accuracy of such representations.
Argumentation2
The models of another’s conceptual operating that one can build on the basis of observable behavior, thus, are and remain hypothetical; and what, one might ask, is the use of such models if they are linked to the reality of the child’s thinking, not by hard facts, but by inferences that may be countermanded at any moment? The constructivist answer is simple and perhaps disconcerting: the experiential world we live in (including other persons) is always a collection of such conjectural models based on one’s own interpretation of what one sees, hears, and ‘understands’. Linguistic communication is no exception to this rule. There, too, one deals with fit, not with match. Language does not transport pieces of one person’s reality into another’s – it merely prods and prompts the other to build up conceptual structures which, to this other, seem compatible with the words and actions the speaker or writer has used.[8]
The models of another’s conceptual operating that one can build on the basis of observable behavior, thus, are and remain hypothetical; and what, one might ask, is the use of such models if they are linked to the reality of the child’s thinking, not by hard facts, but by inferences that may be countermanded at any moment? The constructivist answer is simple and perhaps disconcerting: the experiential world we live in (including other persons) is always a collection of such conjectural models based on one’s own interpretation of what one sees, hears, and ‘understands’. Linguistic communication is no exception to this rule. There, too, one deals with fit, not with match. Language does not transport pieces of one person’s reality into another’s – it merely prods and prompts the other to build up conceptual structures which, to this other, seem compatible with the words and actions the speaker or writer has used.[8]
WissenschaftlicheReferenz2
Silvio Ceccato, with whom I was privileged to work for some fifteen years in Italy, developed Bridgman’s idea of operational definitions into a comprehensive system of mental operations. He emphasized the ‘constitutive’ capability of the mind and the role of a pulsating attention that governs the generation of concepts by separating and relating the raw material of sensory differences. On these premises he worked out a detailed model of a thinking organism that was able to construct an experiential world without ‘representational’ input from an external reality (Ceccato, 1964-66).
Silvio Ceccato, with whom I was privileged to work for some fifteen years in Italy, developed Bridgman’s idea of operational definitions into a comprehensive system of mental operations. He emphasized the ‘constitutive’ capability of the mind and the role of a pulsating attention that governs the generation of concepts by separating and relating the raw material of sensory differences. On these premises he worked out a detailed model of a thinking organism that was able to construct an experiential world without ‘representational’ input from an external reality (Ceccato, 1964-66).
WissenschaftlicheReferenz2
It became the core idea of ‘apophatic’ theologians of the fourth century AD in Byzantium, who affirmed ‘the absolute transcendence of God and excluded any possibility of identifying Him with any human concept ... for no human word or thought is capable of comprehending what God is’ (Meyendorff, 1974: 11).
It became the core idea of ‘apophatic’ theologians of the fourth century AD in Byzantium, who affirmed ‘the absolute transcendence of God and excluded any possibility of identifying Him with any human concept ... for no human word or thought is capable of comprehending what God is’ (Meyendorff, 1974: 11).
