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…

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…

Presents an overview of Pascual-Leone's Theory of Constructive Operators and discusses its implications for issues in developmental psychology. The author concludes that the theory may resolve several anomalies in cognitive- developmental and learning theory approaches to development. One potential problem, the objectivity of task analysis, is…

Analyzes the relationship between the development of formal operations and the development of the adolescent personality, as hypothesized by Inhelder and Piaget. It is suggested that the concepts of possibility and reflectivity have a variety of meanings, and that once these meanings are examined, the logical foundation for the…

A pretheoretical model of cognitive development is proposed which is based on the empirical establishment of Gagne's cumulative learning sequences. (Author)

Reviews Karmiloff-Smith's "Beyond Modularity," suggesting that her work highlights phenomena that seem counter intuitive when regarded from current developmental frameworks, and advocates that understanding them requires more complex perspectives than can be supported by either extreme nativist or domain-general models of cognitive…

Examines current conceptualizations of the mechanisms used to explain cognitive and social development and possible common mechanisms linking the two areas. Considers these mechanisms for both a mechanisric and the two areas. Considers these mechanisms from both a mechanistic and an organismic perspective. Presents a developmental model which…

Delineates the continuing controversy between development and learning, and notes the evidence accumulating for some type of continuum in the processes. Introduces 10 research papers on reconceptualizing the intersection of the two processes and states the arguments for debate and presentation. (ET)

Nonuniversal theory can be used to reframe the learning-development dichotomy into a spectrum of important changes, ranging from small-scale learning events to large-scale developmental shifts. Using the universal-to-unique continuum as an organizing framework, several change mechanisms can be identified as necessary for movement through…

Draws on recent work leading to new conceptions of learning, induction, transfer, and strategy acquisition. Contends learning is no longer simply the acquisition of behaviors, but also includes storing knowledge about relations in the world, and acquiring structural representations and mental models. Sees learning and the growth of processing…

Argues that what matters is not the difference between learning and development, but the dynamic relationships that form the key to understanding. Examined two models of these relationships: (1) a semantic approach, distinguishing five dimensions along which learning and development can be compared; and (2) a mathematical nonlinear growth model…