This study built on a 2001–02 classroom observation study of Washington K-12 and technical schools that identified the extent of constructivist teaching activity. Results from classroom observations found that strong constructivist teaching was observable in 17 percent of the classroom lessons. The other 83 percent of the lessons observed may have contained some elements of constructivist teaching, but up to one-half had very little or no elements of constructivist teaching present. More constructivist teaching appeared to occur in alternative schools and integrated subject matter classes. There appeared to be no differences among elementary, middle/junior, and high schools in the degree to which constructivist practices were used. This study explored the relationship of this practice to student achievement, examining the percent of variance in student achievement accounted for by constructivist teaching beyond that contributed by low-income. Data came from the original observation study and from school-level standardized test scores of 4th, 7th, and 10th graders. Results found large correlations between study variables (a negative correlation between school-level family income and student achievement, large positive correlations between constructivist teaching and student achievement, and a negative correlation between constructivist teaching and school-level family income).

Much scholarship in the history of cybernetics has focused on the far-reaching cultural dimensions of the movement. What has garnered less attention are efforts by cyberneticians such as Warren McCulloch and Norbert Wiener to transform scientific practice in an array of disciplines in the biomedical sciences, and the complex ways these efforts were received by members of traditional disciplines. In a quest for scientific unity that had a decidedly imperialistic flavour, cyberneticians sought to apply practices common in the exact sciences – mainly theoretical modeling – to problems in disciplines that were traditionally defined by highly empirical practices, such as neurophysiology and neuroanatomy. Their efforts were met with mixed, often critical responses. This paper attempts to make sense of such dynamics by exploring the notion of a scientific style and its usefulness in accounting for the contrasts in scientific practice in brain research and in cybernetics during the 1940s. Focusing on two key institutional contexts of brain research and the role of the Rockefeller and Macy Foundations in directing brain research and cybernetics, the paper argues that the conflicts between these fields were not simply about experiment vs. theory but turned more closely on the questions that defined each area and the language used to elaborate answers.

Key words: Cybernetics, Macy foundation, Neurophysiology, Rockefeller Foundation, Theoretical modeling, Warren S. McCulloch

Inspired by Enactivist philosophy yet in dialog with it, we ask what theory of embodied cognition might best serve in articulating implications of Enactivism for mathematics education. We offer a blend of Dynamical Systems Theory and Sociocultural Theory as an analytic lens on micro-processes of action-to-concept evolution. We also illustrate the methodological utility of design-research as an approach to such theory development. Building on constructs from ecological psychology, cultural anthropology, studies of motor-skill acquisition, and somatic awareness practices, we develop the notion of an “instrumented field of promoted action”. Children operating in this field first develop environmentally coupled motor-action coordinations. Next, we introduce into the field new artifacts. The children adopt the artifacts as frames of action and reference, yet in so doing they shift into disciplinary semiotic systems. We exemplify our thesis with two selected excerpts from our videography of Grade 4–6 volunteers participating in task-based clinical interviews centered on the Mathematical Imagery Trainer for Proportion. In particular, we present and analyze cases of either smooth or abrupt transformation in learners’ operatory schemes. We situate our design framework vis-à-vis seminal contributions to mathematics education research.

Key words: mathematics, education, motor learning, conceptual learning, motor problem, conceptual metaphor

There seem to be as many definitions of constructivism as there are minds to construct them. At least this is how it felt after reading the chapters by Duit (chap. 14), Saxe (chap. 15), and Spivey (chap. 16). Or perhaps there are as many questionings of constructivist ideas as practices in the field of education. For example, a teacher experiences a different set of constraints than a researcher or a designer, and these constraints in turn shape theories of learning in different ways.

Consideration of a possible use of virtual reality technologies in school contexts requires gathering together the suggestions of many scientific domains aimed at understanding the features of these same tools that let them offer valid support to the teaching–learning processes in educational settings. Specifically, the present study is aimed at creating a theoretical framework for the didactic use of VR technologies in schools, highlighting the characteristics of these tools that are supported by a view of teaching that enhances sensorimotor activity in learning. The theoretical approach, through the study of the international scientific literature on this topic, offers interdisciplinary suggestions for realising teaching–learning practices that are supported by scientific principles and a concept of learning that is consistent with the processes that these tools may activate.

The aim of this paper is to question the way one conceives the use of a specific theoretical approach (i.e., theories associated with the concept of complexity) in order to promote changes in educational practices and theories. The position I am adopting translates the conviction that any reform of thought has to be conceived in conjunction with a reflection about the idea of reform itself (Morin, 1999). It is therefore assumed that the use of the notion of complexity, to be critical and to bring significant changes, supposes not only to use a specific theoretical vocabulary, but also and above all to change the way scientific activity itself is conceived in order to bring about such a transformation. Following Edgar Morin’s constructivist and non-dualistic contribution, this paper discusses concepts such as program, strategy, prescription, interpretation, monoreferentiality and multireferentiality, in order to discuss researchers’ implication and the way they manage the relationships between the conditions of production of scientific discourses and the ″realities″ to which they are referring.

In order to illustrate what is at stake in the definition and in the development of a complex and constructivist epistemology of transformative learning, this chapter introduces Edgar Morin’s paradigm of complexity and explores six challenges that appear particularly illustrative with regards to the advance of research and practices related to transformative learning.

Excerpt: The first challenge we face in this endeavor is to define two philosophies which provide the basis for most teaching practices: positivism and || constructivism. Next, we intend to familiarize teachers with the influences these philosophies have had on teacher education programs and the classroom. Our final task is to help teachers identify these philosophies within their own practice so they may determine whether or not their teaching style actually reflects their personal beliefs.

Proponents of enactivism should be interested in exploring what notion of action best captures the type of action–perception link that the view proposes, such that it covers all the aspects in which our doings constitute and are constituted by our perceiving. This article proposes and defends the thesis that the notion of sensorimotor dependencies is insufficient to account for the reality of human perception and that the central enactive notion should be that of perceptual practices. Sensorimotor enactivism is insufficient because it has no traction on socially dependent perceptions (SDPs), which are essential to the role and significance of perception in our lives. Since the social dimension is a central desideratum in a theory of human perception, enactivism needs a notion that accounts for such an aspect. This article sketches the main features of the Wittgenstein-inspired notion of perceptual practices as the central notion to understand perception. Perception, I claim, is properly understood as woven into a type of social practices that includes food, dance, dress, and music. More specifically, perceptual practices are the enactment of culturally structured, normatively rich techniques of commerce of meaningful multi- and intermodal perceptible material. I argue that perceptual practices explain three central features of SDP: attentional focus, aspects’ salience, and modal-specific harmony-like relations.

Key words: enactivism, perception, practices, culture, intersubjectivity, pragmatism

Proponents of enactivism should be interested in exploring what notion of action best captures the type of action–perception link that the view proposes, such that it covers all the aspects in which our doings constitute and are constituted by our perceiving. This article proposes and defends the thesis that the notion of sensorimotor dependencies is insufficient to account for the reality of human perception and that the central enactive notion should be that of perceptual practices. Sensorimotor enactivism is insufficient because it has no traction on socially dependent perceptions (SDPs), which are essential to the role and significance of perception in our lives. Since the social dimension is a central desideratum in a theory of human perception, enactivism needs a notion that accounts for such an aspect. This article sketches the main features of the Wittgenstein-inspired notion of perceptual practices as the central notion to understand perception. Perception, I claim, is properly understood as woven into a type of social practices that includes food, dance, dress, and music. More specifically, perceptual practices are the enactment of culturally structured, normatively rich techniques of commerce of meaningful multi- and intermodal perceptible material. I argue that perceptual practices explain three central features of SDP: attentional focus, aspects’ salience, and modal-specific harmony-like relations.

Key words: enactivism, perception, practices, culture, intersubjectivity, pragmatism.