Undergraduate students study the topic of binomial series expansion as part of their Calculus course. The purpose of this study was to explore the mental constructions of binomial series expansion of a class of 159 students. Data were collected through a written assessment task by each member of the class. A convenient sample of eleven students…

This yearbook contains essays that examine the construction of knowledge. The 10 articles, which are called "opinions," are divided into 5 sections, most of which examine the construction of scientific knowledge. An editor's introduction begins each section. Section 1, "Constructivism as an Epistemology and Philosophy of…

Distinguishes educational constructivism, which has its origins in the theories of children's learning, from constructivism in the philosophy of science and from constructivism in the sociology of science. Notes the evolution of educational constructivism and identifies some theoretical problems concerning constructivist teaching of science…

Explores the promises that von Glasersfeld's constructivism holds for the reform of science and mathematics education. Argues that a powerful social epistemology is needed to serve as a referent for regenerating the culture of science education. Contains 48 references. (DDR)

This study examines the construct of problem representation and the processes used by learners to construct or modify problem representations in problem-solving situations. Students (n=14) from freshman calculus courses at the University of California at San Diego participated in videotaped interviews in which they were asked to think aloud as…

A powerful way of understanding something new is by analogy with something already known. An analogy is defined as a mapping from one structure, which is already known (the base or source), to another structure that is to be inferred or discovered (the target). The research community has given considerable attention to analogical reasoning in the…

Discusses dilemmas teachers may face when shifting their concept of teaching or tutoring from explaining or telling to a constructivist perspective of facilitating the development of students' knowledge structures. Examines teachers' decisions during a 20-minute segment of dialogue between a student and teacher while studying linear functions. (14…

Reviews the radical constructivism movement in mathematics education. Benefits identified include learner ownership of mathematical learning; importance of social interaction; and identification of principles for improving mathematics teaching and learning. Weaknesses identified include overzealousness of some radical constructivists; downplaying…