Bednarz N. & Proulx J. (2011) Ernst von Glasersfeld’s Contribution and Legacy to a Didactique des Mathématiques Research Community. Constructivist Foundations 6(2): 239–247. https://constructivist.info/6/2/239
Context: During the 1980s, Ernst von Glasersfeld’s reflections nourished various studies conducted by a community of mathematics education researchers at CIRADE, Quebec, Canada. Problem: What are his influence on and contributions to the center’s rich climate of development? We discuss the fecundity of von Glasersfeld’s ideas for the CIRADE researchers’ community, specifically in didactique des mathématiques. Furthermore, we take a prospective view and address some challenges that new, post-CIRADE mathematics education researchers are confronted with that are related to interpretations of and reactions to constructivism by the surrounding community. Results: Von Glasersfeld’s contribution still continues today, with a new generation of researchers in mathematics education that have inherited views and ideas related to constructivism. For the post-CIRADE research community, the concepts and epistemology that von Glasersfeld put forward still need to be developed further, in particular concepts such as subjectivity, viability, the circular interpretative effect, representations, the nature of knowing, errors, and reality. Implications: Radical constructivism’s offspring resides within the concepts and epistemology put forth, and that continue to be put forth, through a large number of new and different generations of theories, thereby perpetuating von Glasersfeld’s legacy.
Purpose: Ernst von Glasersfeld has actively contributed to the development of the ideas of the Scuola Operativa Italiana (SOI) from 1947. The paper outlines the theoretical status of the SOI research around 1965, which also marks the conclusion of an important phase of this development. The aim is to contribute to better understanding of the continuity of Glasersfeld’s research.
Benedetti G. (2011) The Semantics of the Fundamental Elements of Language in Ernst von Glasersfeld’s Work. Constructivist Foundations 6(2): 213–219. https://constructivist.info/6/2/213
Context: The constructivist approach to the definition (or analysis) of the fundamental meanings of language in Ernst von Glasersfeld’s work. Problem: Has this approach achieved better results than other approaches? Method: Review of a book chapter by von Glasersfeld that is devoted to the analysis of the concepts of “unity,” “plurality” and “number.” Results: The constructivist approach to the semantics of the fundamental elements of language (some of which are fundamental for sciences too) seems to have produced positive results; moreover these are in a field where other approaches have produced results that do not objectively seem satisfactory.
Bentley M. L. (1998) Constructivism as a referent for reforming science education. In: Larochelle M., Bednarz N. & Garrison J. (eds.) Constructivism and education. Cambridge University Press, New York NY: 233–249.
Excerpt: Since World War II, mathematics and science education have been high on the educational reform agenda in many countries, including the United States. […] In this chapter, I wish to suggest some ways to reframe this conception of reform in science education. These ways are at one time theoretical and empirical – that is, rooted in the constructivist perspective and in The Professional Practice Community (PPC), a grassroots model for collaboration that may be a constructivist medium to foster educational reform even in the present era of national standards. This model may offer effective structures not only for “valuing questions and ideas” in relation to the usual beliefs on cognition, learning, and teaching, but also for providing a network to support risk taking and change. But before that, some comments on the current U. S. reform project.
Berressen H. (2009) Structural couplings: Radical constructivism and a Deleuzian ecologics. In: Herzongerath B. (ed.) Deleuze | Guattari and Ecology. Palgrave, Basingstoke: 57–101.
Open peer commentary on the target article “Arguments Opposing the Radicalism of Radical Constructivism” by Gernot Saalmann. First paragraph: I appreciate Saalmann’s recognition that “there are considerable differences amongst the authors” and that these “have changed their opinions in the course of time” (§3); but given this, what are the consequences for an outline of the theses of radical constructivism (RC)? Which approach is best for outlining a theory of knowing under these hindering conditions? My suggestion would be to use a method specifically developed for this kind of situation and to present it explicitly, or, if it does not yet exist, to develop one.
Bettoni M. C. (2007) The Yerkish Language: From Operational Methodology to Chimpanzee Communication. Constructivist Foundations 2(2-3): 32–38. https://cepa.info/26
Purpose: Yerkish is an artificial language created in 1971 for the specific purpose of exploring the linguistic potential of nonhuman primates. The aim of this paper is to remind the research community of some important issues and concepts related to Yerkish that seem to have been forgotten or appear to be distorted. These are, particularly, its success, its promising aspects for future research and last but not least that it was Ernst von Glasersfeld who invented Yerkish: he coined the term “lexigrams,” created the first 120 of them and designed the grammar that regulated their combination. Design: The first part of this paper begins with a short outline of the context in which the Yerkish language originated: the original LANA project. It continues by presenting the language itself in more detail: first, its design, focusing on its “lexigrams” and its “correlational” grammar (the connective functions or “correlators” and the combinations of lexigrams, or “correlations”), and then its use by the chimpanzee Lana in formulating sentences. The second part gives a brief introduction to the foundation of Yerkish in Silvio Ceccato’s Operational Methodology, particularly his idea of the correlational structure of thought and concludes with the main insights that can be derived from the Yerkish experiment seen in the light of Operational Methodology. Findings: Lana’s success in language learning and the success of Yerkish during the past decades are probably due to the characteristics of Yerkish, particularly its foundation in operational methodology. The operation of correlation could be what constitutes thinking in a chimpanzee and an attentional system could be what delivers the mental content that correlation assembles into triads and networks. Research implications: Since no other assessment or explanation of Lana’s performances has considered these foundational issues (findings), a new research project or program should validate the above-mentioned hypotheses, particularly the correlational structure of chimpanzee thinking.
Open peer commentary on the target article “Who Conceives of Society?” by Ernst von Glasersfeld. First paragraph: Issues such as social interaction and communication play an essential role in my recent approach to knowledge management called “Knowledge Cooperation”, conceived as “the participative cultivation of knowledge in a voluntary, informal social group”. Radical Constructivism (RC) provides a substantial support to the foundations of this approach, which aims at equilibrating intellectual and social capital. So I warmly welcome Ernst von Glasersfeld’s clarification of the constructivist position in regard to “society.”
Bettoni M. C. (2008) Why and How to Avoid Representation. Constructivist Foundations 4(1): 15–16. https://constructivist.info/4/1/015
Open peer commentary on the target article “How and Why the Brain Lays the Foundations for a Conscious Self” by Martin V. Butz. Excerpt: Avoiding the term “representation” would make the article much more consistent with a radical constructivist way of thinking. It would also open up unexpected opportunities for realizing the potential of some of its most interesting ideas, such as the connection between anticipatory drive and attention (§31).