Research on propositional reasoning is summarized. Retrieval of facts and concepts, linkages, short-term memory limitations, and the processing advantages are discussed. Suggestions for maximizing teaching are presented. (CW)

Discusses the causes and effects of conceptual errors inadvertently introduced and nurtured by scientists, teachers, and textbook writers. Cites ways to prevent the communication breakdowns that prevent the learning of science. (RT)

Discusses the rationality of students' alternative frameworks by considering the role played by their beliefs, their understanding of other views, and the reasons for justification or rejection. Investigates the way in which 14-year-old boys see the effects of classroom learning experience on their ideas. (Author/YP)

This paper presents a theoretical framework for investigating the role of algorithms in mathematical thinking using a combined ontological-psychological outlook. The intent is to demonstrate that the processes of learning and of problem solving incorporate an elaborate interplay between operational and structural conceptualizations of the same…

Discusses the epistemology and typical applications of learning models focusing on practical methods to operationally introduce the distinctive, alloseric models into the educational environment. Alloseric learning models strive to minimize the characteristic resistance that learners typically exhibit when confronted with the need to reorganize or…

Describes how an eight year old devised a part-whole schema during a school mathematics process involving the development of a geometric model to conceptualize fractions. Provides examples that utilize this schema in dealing with the relative size of fractions, as well as addition and subtraction, multiplication, and division of fractions.…

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)

Reported is a naturalistic study of the role of mathematical paradoxes in the preservice education of high school mathematics teachers. Findings indicate that the model of resolving paradoxes as applied in this study has relevance to such aspects of mathematics education as cognitive conflicts, motivation, misconceptions, and constructive…

Reports on a study of 129 secondary students' cognitive style as related to instructional effectiveness. Finds that graphic and pictorial information improves fact retention. Recommends that teachers and teacher trainers should be aware of students' learning styles and attempt to meet their needs. (CFR)

This article discusses ways to improve mathematics performance of students with learning disabilities through cognitive strategies instruction. Principles of a strategic classroom environment are explained, such as involving students in goalsetting and providing advance organizers. Three specific strategies for math instruction are described:…

This book presents the findings of a longitudinal study of 101 college students and the development of their ways of knowing over a 5-year period, focusing particularly on the role of gender in intellectual development. Part 1, "Understanding Gender-Related Patterns of Knowing," introduces different ways of knowing. Chapter 1 reviews the…

This paper describes the development of a sixth-grade "Matter and Molecules" unit using a new curriculum development model based on conceptual change research, the field testing of this unit in 15 classrooms and the field test results. The development process and the resulting unit are contrasted with the unit's predecessor, the "Models of Matter"…

Recent research in cognitive science and science education suggests that science-naive individuals have an understanding of the natural world based on their interpretation of everyday experience. This can make the process of conceptual change difficult. This paper presents ideas related to the acquisition of knowledge in astronomy. A theoretical…

This study consolidated observations of teachers in an institute setting designed to facilitate science learning content through performing science processes and asking questions related to self-perceived conceptual difficulties. The subjects were 11 elementary school teachers from a school district in Northeast Florida; they were enrolled in a…

Developing a constructivist view of scientific inquiry and knowledge is considered to be important to the training of future scientists, as well as to the understanding of scientific information by all citizens. The research reported targets the junior high school grades. Curricular materials that introduce seventh graders to the constructivist…