Our research aims to identify domain-specific similarities and differences of externalized cognitive structures. Cognitive structure, also known as knowledge structure or structural knowledge, is conceived as the manner in which an individual organizes the relationships of concepts in memory. By diagnosing these structures precisely, even…

Explores what kinds of calculus-related insights seem to typify calculus-related reasoning. Introduces "qualitative calculus" in which learning is focused on synthesis. Discusses the resemblance and difference between traditional calculus and qualitative calculus, advantages of learning qualitative calculus, and how understanding qualitative…

The reviews of articles contained in this issue have been grouped into those dealing with research related to cognitive development and to instruction. In addition, seven science education researchers have provided responses to critiques of their published research. Included are: (1) an analysis of an article designed to persuade researchers to…

One of the most common misconceptions about probability is the belief that successive outcomes of a random process are not independent. This belief has been dubbed the "gambler's fallacy". The belief that non-normative expectations such as the gambler's fallacy are widely held has inspired probability and statistics instruction that attempts to…

Students of reasoning have long tried to understand how people revise systems of beliefs. This paper maintains that people often change their beliefs in ways driven by considerations of explanatory coherence. In this report, a computational model is described of how experimental subjects revise their naive beliefs about physical motion. First,…

Higher order thinking skills are inevitably developed or exercised relative to some discipline. The discipline may be formal or informal, may or may not be represented in a school curriculum, or relate to a wide variety of domains. Moreover, the development or exercise of thinking skills may take place at differing levels of generality. This paper…