Describes a study that was designed to apply the learning hierarchy paradigm in an instructional unit in high school biology. Findings indicated that regardless of the pupils' sex or the type of school, students taught the hierarchically organized learning task achieved significantly higher than students whose learning task was not hierarchically…

Interest in mathematics learning that focuses on understanding, mathematical reasoning, and meaning-making underscores the need to develop ways of analyzing classrooms that foster certain types of learning. The goal of this paper is to show that the constructs of social and sociomathematical norms, which grew out of taking a symbolic…

Argues that constructivist science education works with an unsatisfactory account of knowledge which affects both its account of the nature of science and of science education. Includes a brief survey of realism and anti-realism in science. Contains 42 references. (DDR)

Discusses and criticizes a number of constructivist positions in education that are based on distinctions between the metaphors of "finding" versus "making" for the obtaining of new knowledge. Discusses what is of value in constructivism and what is ill-founded baggage. Contains 25 references. (DDR)

Argues that there are many kinds of understanding and many ways to reach these different understandings. Suggests that this is the reason why articulating general rules that can consistently lead to understanding is difficult. Discusses the relationship between brain structure and learning. (DDR)

Examines the qualities of hypermedia information systems that enable them to facilitate learning and knowledge construction. Discusses the background of current learning theories, and describes a possible hypermedia system based on constructivist learning principles that could be developed through the use of intelligent autonomous agents.…

Tests how perceived self-efficacy influenced cognitive task performance among 64 Canadian college students. Shows students with high perceptions of self-efficacy, induced by positive feedback, completed more problems, had more efficient problem-solving strategies, and accurately self-evaluated responses. Illustrates self-efficacy's context…

The author defines and discusses the cognitive theory of constructivism as it relates to teaching mathematics. It is suggested that the philosophical and theoretical view of knowledge and learning embodied in constructivism offers hope that educational processes will be discovered enabling students to acquire deep understanding rather than…

Compared are the van Hiele levels of geometric thinking and the geometry curriculum recommended by the National Council of Teachers of Mathematics Curriculum and Evaluation Standards for School Mathematics. Activities which illustrate the various levels are provided by grade level with procedures. (CW)

Illustrates how the five cognitive levels--somatic, mythic, romantic, philosophic, and ironic--can be used to guide teaching and learning activities appropriate for engineering students. Uses the example of the concept of energy to demonstrate how educators might appeal to each mode of thinking for understanding a particular concept. (Contains 11…

Describes the Novice-Expert (Novex) Analysis, a nine-step approach to instructional design aimed at effecting the shift from novice to expert by creating a series of learning activities to enable novices to construct an expert knowledge base. The "Dimensions of Processing Model" diagram illustrates how learning processes influence…

Research suggests that preservice teachers who have organized knowledge structures are able to respond to instructional situations more effectively than those who do not. It appears that the way a teacher organizes knowledge influences how easily the information is accessed and applied in instructional situations. This study investigated the…

This book brings a philosophical perspective to the topic of children's thinking. It attempts to answer the questions of what it is to think and understand, and how children do so. The book provides an introduction to the philosophy of education as it relates to children's understanding, and is careful not to assume any previous philosophical…

This book explores what makes mathematics possible as well as what makes mathematics difficult. Included is a discussion of the definition of mathematics, mathematics in language, the meaning of numbers, calculating and measuring, notation, numbers in space, and the best ways to learn mathematics. Historical information and practical examples are…

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…