How do engineering students approach mathematical modelling problems and how can they learn to deal with such problems? In the context of a course in mathematical modelling and problem solving, and using a qualitative case study approach, we found that the students had little prior experience of mathematical modelling. They were also inexperienced…

This paper describes the rule-assessment approach to cognitive development. The basic question that motivated the rule-assessment approach is how people's existing knowledge influences their ability to learn. Research using the rule-assessment approach is summarized in terms of eight conclusions, each illustrated with empirical examples.…

Analyzed 1.5- and 2.5-year-olds' problem solving and learning. Found that changes in toddlers' strategies could be assessed reliably on a trial-by-trial basis, that changes followed the basic form predicted by the overlapping waves model, and that analyses could reveal information about the qualitative and quantitative aspects of their learning.…

This study examined the science process skill of prediction problem solving using naturalistic research methodology and information-processing theory. The think-aloud interview led to the identification of several specific program exploration and prediction behaviors. A total of 14 high school biology students made predictions concerning the…

Introduces the growing body of research on development of scientific reasoning skills, focusing on reasoning and problem-solving strategies used in experimentation and evidence evaluation. Maintains that current research examines strategy development and use in moderately complex domains to examine conditions under which subjects' theories…

The purpose of this paper is to review the relevant evidence concerning the relationship between knowledge and its effect on learning, with an end to answering the questions: (1) How important is knowledge to learning? and (2) How does the relative importance of knowledge change with development? The paper is divided into three main sections:…

Discusses: (1) potential advantages of learning computer programing, (2) performances of males and females in middle school programing courses, (3) problems teachers face in achieving this potential, and (4) participation of males and females in programing courses. Results show females, on the average, perform as well as or better than males.…

Synthesizes research on reasoning development and studies of teaching in order to present an approach to teaching guided thinking. (SRT)