This paper examines the problem of extending the programme of mathematical constructivism to applied mathematics. I am not concerned with the question of whether conventional mathematical physics makes essential use of the principle of excluded middle, but rather with the more fundamental question of whether the concept of physical infinity is constructively intelligible. I consider two kinds o...

Constructivism in education has evolved over the past century due to the contributions of many individuals in the U. S. and abroad. This article provides an overview of the contributions of theorists, researchers, and educators most closely associated with its rise in the field of education. The article also provides an outline and guide to the annotated bibliography on constructivism in educat...

This article reviews the use of constructivism in traditional brick-and-mortar classrooms, as opposed to the online learning environment. The applicability of constructivism to nursing education is discussed. The article concludes with recommendations for online nursing education programs, offering ways that constructivist methodologies can be applied to online distance education.

According to the error theory, morality presents itself to us as though it were something to be discovered, but in fact it is not. Morality is something invented, constructed or made. According to constructivism, morality is something invented, constructed or made. Thus understood, constructivism and the error theory are close philosophical relatives. Both views assert that morality is a constr...

Piaget's body of work had two major theoretical thrusts: constructivism and stage theory. Both constructivism and stage theories articulate modern work on conceptual development, albeit transformed by developments in cognitive science and cognitive neuroscience. A case study of conceptual change in childhood within a framework theory of intuitive biology illustrates these points.

The way physics and other parts of science work can be explained in the framework of radical constructivism. However, this constructivist view itself shows that a uniquily accepted epistemology, constructivism or any other, would not be an advantage for the development of science. Unlike physics some parts of science successfully use constructivist concepts inside their theories. Because this i...

Social constructivism provides a fruitful approach for understanding new information technologies. Some leading ideas of social constructivism are introduced, and a discursive reading is given of a model that integrates them: Collins’s “empirical programme of relativism” (EPOR). The importance of discourse in the social construction of technologies is illustrated by the construction of meanings...

This article analyzes the role of entropy in Bayesian statistics, focusing on its use as a tool for detection, recognition and validation of eigen-solutions. “Objects as eigen-solutions” is a key metaphor of the cognitive constructivism epistemological framework developed by the philosopher Heinz von Foerster. Special attention is given to some objections to the concepts of probability, statist...

Constructivism is a learning theory that states that people learn by actively constructing their own knowledge, based on prior knowledge. A significant number of ICT-based constructivist learning systems have been proposed in recent years. A critical problem related to the design and use of this kind of systems has been the lack of a practical means to facilitate the instructional design proces...

This paper discusses the basic philosophical assumptions of objectivism and constructivism including their implications for course design, interaction, and evaluation in distance education. First, I provide a brief overview of the construct of interaction as it is used in the field of distance education. Second, I address the major philosophical ideas of objectivism and constructivism as they r...