Research in the psychology of mathematics education has been confronted with the fact that people blatantly fail to solve tasks they are supposed to be able to solve correctly given their available domain-specific knowledge and skills. Also researchers in cognitive psychology have encountered such phenomena. In this paper, theories that have been…

This paper argues that the metaphorical representation of concepts and the appropriation of language-based construals can be hypothesized as additional sources of conceptual change alongside those previously proposed. Analyses of construals implicit in the lay and scientific use of the noun "energy" from the perspective of the theory of conceptual…

The theory of conceptual fields is a developmental theory. It has two aims: (1) to describe and analyse the progressive complexity, on a long- and medium-term basis, of the mathematical competences that students develop inside and outside school, and (2) to establish better connections between the operational form of knowledge, which consists in…

Developmental psychologists have a long history of using triangle metaphors to conceptualise the social constitution of psychological development. In this paper, we present a genealogy of triadic theories, to clarify their origins, distinctions between them, and to identify key themes for theoretical development. The analysis identifies three core…

Philosophers and scientists seeking to conceptualize consciousness, and subjective experience in particular, have focused on sensation and perception, and have emphasized binding--how a percept holds together. Building on a constructivist approach to conception centered on separistic-holistic complexes incorporating multiple levels of abstraction,…

The major tenets of Piagetian theory, such as adaptation and constructionism, are compatible with a cross-cultural approach to the study of cognitive development, but there have been significant methodological and theoretical advances over the past 40 years. Piagetian theory directly influenced three phases of cross-cultural research, ranging from…

Compares Piaget's and Vygotsky's interpretations of transmission and transformation. Notes that differences are apparent in the preformation of knowledge, availability of a third alternative to nature and culture, and unity and identity in social interaction. Vygotsky was concerned about the novel transformation of the learner; Piaget, with the…

Suggests that Greenberg's challenge to the centrality of object permanence in developmental thinking reveals that developmentalists' theories about childhood speak about their own self-images. Notes that developmentalists have been guilty of not only the object permanence fallacy but also the genetic fallacy, or the mistaken belief that describing…

Maintains that Muller and Overton (1998) misrepresent her theory of infant concept formation in infancy, makes corrections to their representation, and notes that her theory was developed in part because of the lack of detailed mechanisms in Piaget's theory to account for concept formation. Argues that Muller and Overton's proposed alternative…

The developmental psychology of mathematical thinking and the clinical interview method can make major contributions to education by transforming the process of formative assessment--the attempt to use information concerning student performance, knowledge, learning potential, and motivation to inform instruction. The clinical interview is a…

Maintains that, although Leontiev's sociocultural orientation and its activity emphasis were inherited from Vygotsky's theory, the two men's theoretical motives and goals differed. Vygotsky's focus on symbolic mediation transforming psychological processes and Leontiev's on activities leading to internalization of action in mental processes were…

Examines development of representational thought from the perspective of Jean Mandler's image-schema theory and an action-theoretical approach derived from Piaget's theory. Concludes that empirical findings fail to support hypotheses of early onset, and that representational development is more adequately interpreted within the context of an…

Explores contradictions arising from Piaget's transposition of the phylogenetic problem of the appearance of new forms to the ontogeny of knowledge. Discussion focuses on development as the organization of contents by preformed structures, on early development as a succession of representational organizations, and on concepts of structure and…

Argues that Vico's constructivist epistemology is germane to contemporary cognitive developmental psychology, first in clarifying the meaning of the environment in Piaget's theory and second by providing, through the description of mental operations, a way of overcoming directions to the overly formal quality of Piaget's basic concrete-operational…

Contrasts work of Leontiev and Vygotsky. Suggests that Leontiev concentrated on social activity as a whole, whereas Vygotsky made semiotic mediation through culturally developed symbols a central aspect of his analysis. Maintains that they shared a philosophical base and that Leontiev used Vygotsky's ideas as a starting point to explore human…